0000947484acgl:MortgageSegmentMemberus-gaap:ShortdurationInsuranceContractsAccidentYear2012Member2017-12-31

UNITED STATES
UNITED STATES
SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549
FORM 10-K
FORM 10-K
þANNUAL REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934
OR
oTRANSITION REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934
For the Fiscal Year EndedDecember 31, 20172020Commission File No.001-16209
acgl-20201231_g1.jpg
ARCH CAPITAL GROUP LTD.
(Exact name of registrant as specified in its charter)
BermudaNot applicable98-0374481
(State or other jurisdiction of incorporation or organization)(I.R.S. Employer Identification No.)
Waterloo House, Ground Floor
100 Pitts Bay Road,PembrokeHM 08, BermudaBermuda(441)278-9250
(Address of principal executive offices)(Registrant’s telephone number, including area code)


Securities registered pursuant to Section 12(b) of the Exchange Act:
Title of each classTrading Symbol (s)Name of each exchange on which registered
Common Shares, $0.0033$0.0011 par value per shareACGLNASDAQStock Market (Common Shares)
6.75% Non-Cumulative Preferred Shares,Depositary shares, each representing a 1/1,000th interest in a 5.25% Series C, $0.01 par value perE preferred shareNew York ACGLPNASDAQStock ExchangeMarket
5.25% Non-Cumulative Preferred Shares, Series E, $0.01 par value per shareNASDAQ Stock Market
Depositary shares, each representing a 1/1,000th interest in a 5.45% Non-Cumulative Preferred Shares, Series F $0.01 par value perpreferred shareACGLONASDAQStock Market


Securities registered pursuant to Section 12(g) of the Exchange Act: None


Indicate by check mark if the registrant is a well-known seasoned issuer, as defined in Rule 405 of the Securities Act. Yes þ   No o


Indicate by check mark if the registrant is not required to file reports pursuant to Section 13 or Section 15(d) of the Exchange Act.
Yes o     No þ


Indicate by check mark whether the registrant (1) has filed all reports required to be filed by Section 13 or 15(d) of the Exchange Act during the preceding 12 months (or for such shorter period that the registrant was required to file such reports), and (2) has been subject to such filing requirements for the past 90 days. Yes þ     No o
        
Indicate by check mark whether the registrant has submitted electronically and posted on its corporate Web site, if any, every Interactive Data File required to be submitted and posted pursuant to Rule 405 of Regulation S-T (§232.405 of this chapter) during the preceding 12 months (or for such shorter period that the registrant was required to submit and post such files). Yes þ     No o


Indicate by check mark if disclosure of delinquent filers pursuant to Item 405 of Regulation S-K (§229.405 of this chapter) is not contained herein, and will not be contained, to the best of registrant’s knowledge, in definitive proxy or information statements incorporated by reference in Part III of this Form 10-K or any amendment to this Form 10-K. o

Indicate by check mark whether the registrant is a large accelerated filer, an accelerated filer, a non-accelerated filer, or a smaller reporting company, or an emerging growth company. See the definitions of “large accelerated filer,” “accelerated filer”filer,” “smaller reporting company,” and “smaller reporting“emerging growth company” in Rule 12b-2 of the Exchange Act.

Large accelerated Filer þ Accelerated Filer o Non-accelerated Filer o Smaller reporting company oEmerging Growth Company


If an emerging growth company, indicate by check mark if the Registrant has elected not to use the extended transition period for complying with any new or revised financial accounting standards provided pursuant to Section 13(a) of the Exchange Act.  o

Indicate by check mark whether the registrant has filed a report on and attestation to its management's assessment of the effectiveness
of its internal control over financial reporting under Section 404(b) of the Sarbanes-Oxley Act (15 U.S.C. 7262(b)) by the registered
public accounting firm that prepared or issued its audit report. ☑

Indicate by check mark whether the registrant is a shell company (as defined in Rule 12b-2 of the Exchange Act). Yes o  No þ


The aggregate market value of the voting and non-voting common equity held by non-affiliates, computed by reference to the closing price as reported by the NASDAQ Stock Market as of the last business day of the Registrant’s most recently completed second fiscal quarter, was approximately $11.77$11.3 billion.


As of February 22, 2018,19, 2021, there were 131,008,360403,014,515 of the registrant’s common shares outstanding.
DOCUMENTS INCORPORATED BY REFERENCE
Portions of Part III and Part IVincorporate by reference our definitive proxy statement for the 2021 annual meeting of shareholders to be filed with the Securities and Exchange Commission pursuant to Regulation 14A within 120 days after December 31, 2020.
DOCUMENTS INCORPORATED BY REFERENCE
Portions of Part III and Part IVincorporate by reference our definitive proxy statement for the 2018 annual meeting of shareholders to be filed with the Securities and Exchange Commission pursuant to Regulation 14A before May 1, 2018.



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ARCH CAPITAL GROUP LTD.
TABLE OF CONTENTS
ARCH CAPITAL GROUP LTD.ItemPage
TABLE OF CONTENTS
PART I
ItemPage
PART I
ITEM 1.
ITEM 1A.
ITEM 1B.
ITEM 2.
ITEM 3.
ITEM 4.
PART II
ITEM 5.
ITEM 6.
ITEM 7.
ITEM 7A.
ITEM 8.
ITEM 9.
ITEM 9A.
ITEM 9B.
PART III
ITEM 10.
ITEM 11.
ITEM 12.
ITEM 13.
ITEM 14.
PART IV
ITEM 15.
ITEM 16.




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Cautionary Note Regarding Forward-Looking Statements 
The Private Securities Litigation Reform Act of 1995 (“PSLRA”) provides a “safe harbor” for forward-looking statements. This report or any other written or oral statements made by or on behalf of us may include forward-looking statements, which reflect our current views with respect to future events and financial performance. All statements other than statements of historical fact included in or incorporated by reference in this report are forward-looking statements. Forward-looking statements, for purposes of the PSLRA or otherwise, can generally be identified by the use of forward-looking terminology such as “may,” “will,” “expect,” “intend,” “estimate,” “anticipate,” “believe” or “continue” and similar statements of a future or forward-looking nature or their negative or variations or similar terminology.
Forward-looking statements involve our current assessment of risks and uncertainties. Actual events and results may differ materially from those expressed or implied in these statements. Important factors that could cause actual events or results to differ materially from those indicated in such statements are discussed below and elsewhere in this report and in our periodic reports filed with the Securities and Exchange Commission (“SEC”), and include:
our ability to successfully implement our business strategy during “soft” as well as “hard” markets;
acceptance of our business strategy, security and financial condition by rating agencies and regulators, as well as by brokers and our insureds and reinsureds;
our ability to consummate acquisitions and integrate the integration of United Guaranty Corporation and any other businessesbusiness we have acquired or may acquire into our existing operations;
our ability to maintain or improve our ratings, which may be affected by our ability to raise additional equity or debt financings, by ratings agencies’ existing or new policies and practices, as well as other factors described herein;
general economic and market conditions (including inflation, interest rates, unemployment, housing prices, foreign currency exchange rates, prevailing credit terms and the depth and duration of a recession)recession, including those resulting from COVID-19) and conditions specific to the reinsurance and insurance markets (including the length and magnitude of the current “soft” market) in which we operate;
competition, including increased competition, on the basis of pricing, capacity (including alternative sources of capital), coverage terms, or other factors;
developments in the world’s financial and capital markets and our access to such markets;
our ability to successfully enhance, integrate and maintain operating procedures (including information technology) to effectively support our current and new business;
the loss of key personnel;
material differences between actual and expected assessments for guaranty funds and mandatory pooling arrangements;
accuracy of those estimates and judgments utilized in the preparation of our financial statements, including those related to revenue recognition, insurance and other reserves, reinsurance recoverables, investment valuations, intangible assets, bad debts, income taxes, contingencies and litigation, and any determination to use the deposit method of accounting, which for a relatively new insurance and reinsurance company, like our company, are even more difficult to make than those made in a mature company since relatively limited historical information has been reported to us through December 31, 2017;accounting;
greater than expected loss ratios on business written by us and adverse development on claim and/or claim expense liabilities related to business written by our insurance and reinsurance subsidiaries;
the adequacy of the Company’s loss reserves;
severity and/or frequency of losses;
greater frequency or severity of unpredictable natural and man-made catastrophic events;
claims for natural or man-made catastrophic events or severe economic events in our insurance, reinsurance and mortgage businesses could cause large losses and substantial volatility in our results of operations;
the effect of climate change on our business;
the effect of contagious diseases (including COVID-19) on our business;
acts of terrorism, political unrest and other hostilities or other unforecasted and unpredictable events;
availability to us of reinsurance to manage our gross and net exposures and the cost of such reinsurance;

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the failure of reinsurers, managing general agents, third party administrators or others to meet their obligations to us;
the timing of loss payments being faster or the receipt of reinsurance recoverables being slower than anticipated by us;
our investment performance, including legislative or regulatory developments that may adversely affect the fair value of our investments;


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changes in general economic conditions, including new or continued sovereign debt concerns in Eurozone countries or downgrades of U.S. securities by credit rating agencies, which could affect our business, financial condition and results of operations;
changes in the method for determining the London Inter-bank Offered Rate (“LIBOR”) and the potential replacement of LIBOR;
the volatility of our shareholders’ equity from foreign currency fluctuations, which could increase due to us not matching portions of our projected liabilities in foreign currencies with investments in the same currencies;
losses relating to aviation business and business produced by a certain managing underwriting agency for which we may be liable to the purchaser of our prior reinsurance business or to others in connection with the May 5, 2000 asset sale described in our periodic reports filed with the SEC;
changes in accounting principles or policies or in our application of such accounting principles or policies;
changes in the political environment of certain countries in which we operate or underwrite business;
a disruption caused by cyber-attacks or other technology breaches or failures on us or our business partners and service providers, which could negatively impact our business and/or expose us to litigation;
statutory or regulatory developments, including as to tax policy and matters and insurance and other regulatory matters such as the adoption of proposed legislation that would affect Bermuda-headquartered companies and/or Bermuda-based insurers or reinsurers and/or changes in regulations or tax laws applicable to us, our subsidiaries, brokers or customers, including the recently enacted Tax Cuts and Jobs Act of 2017; and
the other matters set forth under Item 1A “Risk Factors,” Item 7 “Management’s Discussion and Analysis of Financial Condition and Results of Operations” and other sections of this Annual Report on Form 10-K, as well as the other factors set forth in Arch Capital Group Ltd.’s other documents on file with the SEC, and management’s response to any of the aforementioned factors.
All subsequent written and oral forward-looking statements attributable to us or persons acting on our behalf are expressly qualified in their entirety by these cautionary statements. The foregoing review of important factors should not be construed as exhaustive and should be read in conjunction with other cautionary statements that are included herein or elsewhere. We undertake no obligation to publicly update or revise any forward-looking statement, whether as a result of new information, future events or otherwise.




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PART I

ITEM 1.
BUSINESS
ITEM 1. BUSINESS
As used in this report, references to “we,” “us,” “our,” “Arch” or the “Company” refer to the consolidated operations of Arch Capital Group Ltd. (“Arch Capital”) and its subsidiaries. Tabular amounts are in U.S. Dollars in thousands, except share amounts, unless otherwise noted. We refer you to Item 1A “Risk“Risk Factors” for a discussion of risk factors relating to our business.
OUR COMPANY

General
Arch Capital, a publicly listed Bermuda public limited liabilityexempted company with $11.30$15.8 billion in capital at December 31, 2017,2020, provides insurance, reinsurance and mortgage insurance on a worldwide basis through its wholly owned subsidiaries. While we are positioned to provide a full range of property, casualty and mortgage insurance and reinsurance lines, we focus on writing specialty lines of insurance and reinsurance. For 2017,2020, we wrote $4.96$7.4 billion of net premiums and reported net income available to Arch common shareholders of $566.5 million.$1.4 billion. Book value per share was $60.91$30.31 at December 31, 2017,2020, compared to $55.19$26.42 per share at December 31, 2016.2019.
Arch Capital’s registered office is located at Clarendon House, 2 Church Street, Hamilton HM 11, Bermuda (telephone number: (441) 295-1422), and its principal executive offices are located at Waterloo House, Ground Floor, 100 Pitts Bay Road, Pembroke HM 08, Bermuda (telephone number: (441) 278-9250). Arch Capital makes available free of charge through its website, located at www.archcapgroup.com, its annual reports on Form 10-K, quarterly reports on Form 10-Q, current reports on Form 8-K, and all amendments to those reports as soon as reasonably practicable after such material is electronically filed with, or furnished to, the SEC. The public may read and copy any materials Arch Capital files with the SEC at the SEC’s Public Reference Room at 100 F Street, NE, Washington, D.C. 20549. The public may obtain information on the operation of the Public Reference Room by calling 1-800-SEC-0330. The SEC also maintains an Internet site that contains reports, proxy and information statements, and other information regarding issuers that file electronically with the SEC (such as Arch Capital) and the address of that site is www.sec.gov.
Our History
Arch Capital was formed in September 2000 and became the sole shareholder of Arch Capital Group (U.S.) Inc. (“Arch-U.S.”) pursuant to an internal reorganization transaction
completed in November 2000. In October 2001, Arch Capital launched an underwriting initiative to meet current and future
demand in the global insurance and reinsurance markets that included the recruitment of new management teams and an equity capital infusion of $763.2 million.million which created a strong capital base that was unencumbered by significant pre-2002 risks. Since that time,then, we have attracted a proven management team with extensive industry experience and enhancedcontinued to build our existing global underwriting platform for our insurance, reinsurance and reinsurance businesses. It is our belief that our underwriting platform, our experienced management team and our strong capital base that is unencumbered by significant pre-2002 risks have enabled us to establish a strong presence in the globalmortgage insurance and reinsurance markets.businesses.
Prior to the 2001 underwriting initiative, ourOur insurance underwriting platform initially consisted of our Bermuda and U.S. operations, followed by the establishment of our United Kingdom-based carrier, Arch Insurance (Bermuda), a division of Arch Reinsurance Ltd. (“Arch Re Bermuda”), our Bermuda-based reinsurer and insurer, and our U.S.-licensed insurers, Arch Insurance Company (“Arch Insurance”), Arch Excess & Surplus Insurance Company (“Arch E&S”), Arch Specialty Insurance Company (“Arch Specialty”) and Arch Indemnity Insurance Company (“Arch Indemnity”). We established Arch Insurance Company (Europe)(UK) Limited (“Arch Insurance Company Europe”(U.K.), our United Kingdom-based subsidiary,”) in 2004 and we expanded our North American presence when Arch Insurance opened a branch officeCanadian operations in Canada in 2005. In 2013, Arch Insurance Canada Ltd. (“Arch Insurance Canada”), a Canada domestic company, commenced operations and replaced the branch office. In 2009, we established a managing agentagency and syndicate 2012 (“Arch Syndicate 2012”) at Lloyd’s of London (“Lloyd’s”) and significantly expanded our U.K. presence in 2019 through the acquisition of Barbican Group Holdings Limited (“Barbican Holdings”) and its subsidiaries (collectively, “Barbican”). Our U.S. platform has grown with the 2018 acquisition of McNeil & Company, Inc. (“McNeil”), a U.S. nationwide leader in specialized risk management and program administration. See “Operations—Insurance Operations” for further details on our insurance operations.
Prior to the 2001 underwriting initiative, ourOur reinsurance underwriting platform initially consisted of Arch Reinsurance Ltd. in Bermuda (“Arch Re BermudaBermuda”) and Arch Reinsurance Company (“Arch Re U.S.”), our U.S.-licensed reinsurer. Our reinsurance operations in Europe began in 2006 with the formation of a Swiss branch of Arch Re Bermuda,in offices in Zurich, Switzerland and the formation of a Danish underwriting agency in 2007. In addition to the U.S. reinsurance treaty activities of Arch Re U.S., we launched our property facultative reinsurance underwriting operations in 2007, which underwrite in the U.S., Canada and Europe. In 2008, we formed Arch Reinsurance Europe Designated Activity Company (“Arch Re Europe”), our Ireland-based reinsurance company. In 2011, we launched treaty operationscompany headquartered in CanadaIreland with offices in Switzerland and the U.K. The acquisition of Barbican in 2012 we acquired the credit and suretyNovember 2019 also contributed to our reinsurance operations of Ariel Reinsurance Company Ltd. In 2015, we obtained complete ownership and


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effective control of Gulf Reinsurance Limited (“Gulf Re”), previously a joint venture.operations. See “Operations—Reinsurance Operations” for further details on our reinsurance operations.
Our mortgage operations include U.S. and international mortgage insurance and reinsurance operations, as well as participation in government sponsored enterprise (“GSE”) credit risk sharingrisk-sharing transactions. Our
The U.S. mortgage platform was builtestablished in 2014 and expanded greatly in 2016 through the acquisition of CMG Mortgage Insurance Company in 2014 (subsequently renamed Arch Mortgage Insurance Company) and further expanded through the acquisitionUnited

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Guaranty Corporation a North Carolina corporation (“UGC”), and its subsidiaries from American International Group, Inc. (“AIG”), which closed at the end of 2016. In 2017, we completed our previously announced acquisition of AIG United Guaranty Insurance (Asia) Limited (renamed “Arch MI Asia Limited”) from AIG.
. Our U.S. primary mortgage operations are leading providers ofprovide mortgage insurance products and services to the U.S. market andmarket. These operations include providers that are also approved as eligible mortgage insurers by Federal National Mortgage Association (“Fannie Mae”) and Federal Home Loan Mortgage Corporation (“Freddie Mac”), each a GSE. In addition, our mortgage operations include the results of Arch Mortgage Insurance Designated Activity Company (“Arch MI Europe”), a leading provider of mortgage insurance products and services to the European market.
The mortgage operations also include participation in GSE credit risk-sharing transactions and direct mortgage insurance to U.S. mortgage lenders with respect to mortgages that lenders intend to retain in portfolio or include in non-agency securitizations along with mortgage reinsurance foron a global basis. Our European business is written through our Ireland-based carrier, Arch Insurance (EU) Designated Activity Company (“Arch Insurance (EU)”), which commenced in 2014 providing mortgage insurance products and services to the U.S.European and U.K. markets. In January 2019, Arch LMI Pty Ltd. (“Arch LMI”) was authorized by the Australian markets.Prudential Regulation Authority (“APRA”) to write lenders’ mortgage insurance on a direct basis in Australia. See “Operations—Mortgage Operations” for further details on our mortgage operations.
It is our belief that our underwriting platform, our experienced management team and our strong capital base have enabled us to establish a strong presence in the markets we participate in.
In 2014 we acquired approximately 11% of Watford Holdings Ltd. Watford Holdings Ltd. is the parent of Watford Re Ltd., a multi-line Bermuda reinsurance company (together with Watford Holdings Ltd., “Watford Re”“Watford”). In 2017, we acquired approximately 25% of Premia Holdings Ltd. Premia Holdings Ltd. is the parent of Premia Reinsurance Ltd., a multi-line Bermuda reinsurance company (together with Premia Holdings Ltd., “Premia Re”“Premia”). In the 2020 fourth quarter, we entered into agreements pursuant to which we, together with certain investment funds managed by Kelso & Company and certain investment funds managed by Warburg Pincus LLC, expect to acquire all of the common shares of Watford Holdings Ltd. in transactions expected to close in the first half of 2021, subject to customary closing conditions including regulatory and shareholder approval. See “Operations—Other Operations” for further details on Watford Re and Premia Re.Premia.
The board of directors of Arch Capital (the “Board”) has authorized the investment in Arch Capital’s common shares through a share repurchase program. Repurchases under the share repurchase program may be effected from time to time in open market or privately negotiated transactions through December 31, 2019.2021. Since the inception of the share repurchase program in February 2007 through December 31, 2017,2020, Arch Capital has repurchased 125.2389.2 million common shares for an aggregate purchase price of $3.68$4.1 billion. At December 31, 2017,2020, the total remaining authorization under
the share repurchase program was $446.5$916.5 million.
The timing and amount of the repurchase transactions under this program will depend on a variety of factors, including market conditions and corporate and regulatory considerations. Depending upon results of operations, market conditions and the development of the economy, as well as other factors, generally we will consider share repurchases on an opportunistic basis from time to time. During the 2020 fiscal year, we repurchased 2,850,102 shares for an aggregate amount of $83.5 million under our share repurchase program.
OPERATIONS

OPERATIONS

We classify our businesses into three underwriting segments —segments– insurance, reinsurance and mortgage — mortgage–and two other operating segments — ‘other’segments–‘other’ and corporate (non-underwriting). For an analysis of our underwriting results by segment, see note 5,4, “Segment Information,” to our our consolidated financial statements in Item 8 and “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Results of Operations.”

COVID-19 Pandemic
The global pandemic resulting from the novel coronavirus (“COVID-19”) has disrupted the global economy, causing a significant slowdown in economic activity around the world. Businesses around the world, including ours, have been impacted by the restrictions on travel, some business activities and non-essential services and the reverberations of severe curtailment of normal activities. We have taken proactive steps to ensure the health and safety of our employees with the majority of our 4,500 employees working from home to maintain business continuity. Our employees and businesses have adapted to the changing needs of our clients, customers and business partners. We remain committed to continuing to carrying on our business activities without interruption during these challenging times.
Insurance Operations
Our insurance operations are conducted in Bermuda, the United States, the United Kingdom, Europe, Canada, Australia and South Africa.Australia. Our insurance operations in Bermuda are conducted through Arch Insurance (Bermuda), a division of Arch Re Bermuda, and Alternative Re Limited.
In the U.S., our insurance group’s principal insurance subsidiaries are Arch Insurance Company (“Arch Insurance”), Arch Specialty Insurance Company, Arch Indemnity and Arch E&S.Property & Casualty Insurance Company (“Arch P&C”). Arch Insurance is an admitted insurer in 50 states, the District of Columbia, Puerto Rico, the U.S. Virgin Islands and Guam. Arch Specialty is an approved excess and surplus lines insurer in 4950 states, the District of

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Columbia, Puerto Rico and the U.S. Virgin Islands and an authorized insurer in one state. Arch Indemnity is an admitted insurer in 49 states and the District of Columbia. Arch E&S,P&C, which is not currently writing business, is an approved excess and surplus linesadmitted insurer in 4736 states and the District of ColumbiaColumbia. Our insurance group also operates McNeil, a specialized risk manager and an authorized insurera program administrator based in one state.Cortland, New York. The headquarters for our insurance group’s U.S. support operations (excluding underwriting units) isare in Jersey City, New Jersey. The insurance group has offices throughout the U.S., including fourfive regional offices located in Alpharetta, Georgia, Chicago, Illinois, New York, New York, and San Francisco, California, Dallas, Texas and additional branch offices.
Our insurance operations in Canada are conducted through Arch Insurance Canada Ltd., a Canada domestic company which is authorized in all Canadian provinces and territories. Arch Insurance Canada is headquartered in Toronto, Ontario. Our
In 2019, Arch Insurance (EU), based in Dublin, Ireland, received authorization from the Central Bank of Ireland (“CBOI”) to expand its classes of business as part of our plan to address the U.K.’s departure from the European Union (“Brexit”). As of January 2020, all of the insurance business in the European Union (“EU”) previously written by Arch Insurance (U.K.) is now written through Arch Insurance (EU). Arch Insurance (EU) has branches in the EU in Denmark and Italy and outside the EU in the U.K. At the end of December 2020, Arch Insurance (U.K.) received court approval in the U.K. to transfer its legacy book of business written in the European Economic Area (“EEA”) to Arch Insurance (EU) under Part VII of the U.K. Financial Services and Markets Act 2000.
We conduct insurance operations on several platforms in Europe are conducted on two platforms,the U.K., including Arch Insurance Company Europe(U.K.), Lloyd’s syndicates: Arch Syndicate 2012 (“Arch Syndicate 2012”) and Arch Syndicate 2012 (the U.K. insurance operations are collectively referred to as “Arch Insurance Europe”1955 (“Arch Syndicate 1955”). Arch Insurance Europe conducts its operations from London, England. Arch Insurance Company Europe is eligible by virtue of the U.S. Nonadmitted and Reinsurance Reform Act of 2010Managing Agency Limited (“NRRA”) as an excess and surplus lines insurer in 50 states and listed in 27 states and the District of Columbia and also has branches in Germany, Italy, Spain and Denmark. Arch Underwriting at Lloyd’s Ltd (“AUAL”AMAL”) is the managing agent of Arch Syndicate 2012 and is responsible for the daily management of Arch Syndicate


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2012. Arch Syndicate 2012 provides1955.Our Lloyd’s syndicates provide us access to Lloyd’s extensive distribution network and worldwide licenses. AMAL also acts as managing agent for third party members of Arch Syndicate 1955, which generates fee income. Arch Underwriting at Lloyd’s (Australia) Pty Ltd, based in Sydney, Australia, and Arch Underwriting Managers at Lloyd’s (South Africa) (Pty) Limited, based in Johannesburg, South Africa, areis a Lloyd’s services companiescompany which underwriteunderwrites exclusively for our Lloyd’s syndicates. With the Barbican acquisition, we also acquired Castel Underwriting Agencies Limited (“Castel”) in the U.K. and Castel Underwriting Europe BV in the Netherlands, giving us additional underwriting intermediary capabilities for our underwriting platforms. Collectively, the U.K. insurance operations are referred to as “Arch U.K.”.Arch Syndicate 2012. U.K. conducts its operations from London and other locations in the U.K.Arch Underwriting Agency (Australia) Pty. Ltd. is an Australian agency which also underwrites for Arch Syndicate 2012Insurance
(U.K.) will be winding down branch offices in other member states of the EEA following Brexit and third parties.the expiration of the transition period negotiated between the U.K. and the EU from January 31, 2020 to December 31, 2020.
As of February 21, 2018, our insurance group had approximately 1,600 employees.
Strategy. Our insurance group’s strategy is to operate in lines of business in which underwriting expertise can make a meaningful difference in operating results. The insurance group focuses on talent-intensive rather than labor-intensive business and seeks to operate profitably (on both a gross and net basis) across all of its product lines. To achieve these objectives, our insurance group’s operating principles are to:
Capitalize on profitable underwriting opportunities. Our insurance group believes that its experienced management and underwriting teams are positioned to locate and identify business with attractive risk/reward characteristics. As profitable underwriting opportunities are identified, our insurance group will continue to seek to make additions to its product portfolio in order to take advantage of market trends. This includes adding underwriting and other professionals with specific expertise in specialty lines of insurance.
•    Centralize responsibility for underwriting. Our insurance group consists of a range of product lines. The underwriting executive in charge of each product line oversees all aspects of the underwriting product development process within such product line. Our insurance group believes that centralizing the control of such product line with the respective underwriting executive allows for close management of underwriting and creates clear accountability for results. Our U.S. insurance group has four regional offices, and the executive in charge of each region is primarily responsible for all aspects of the marketing and distribution of our insurance group’s products, including the management of broker and other producer relationships in such executive’s respective region. In our non-U.S. offices, a similar philosophy is observed, with responsibility for the management of each product line residing with the senior underwriting executive in charge of such product line.
•    Maintain a disciplined underwriting philosophy. Our insurance group’s underwriting philosophy is to generate an underwriting profit through prudent risk selection and proper pricing. Our insurance group believes that the key to this approach is adherence to uniform underwriting standards across all types of business. Our insurance
group’s senior management closely monitors the underwriting process.
•    Focus on providing superior claims management. Our insurance group believes that claims handling is an integral component of credibility in the market for

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insurance products. Therefore, our insurance group believes that its ability to handle claims expeditiously and satisfactorily is a key to its success. Our insurance group employs experienced claims professionals and also utilizes experienced external claims managers (third party administrators) where appropriate.
Predominantly•    Promote and utilize a brokeragean efficient distribution system. Our insurance group believes that bypromoting and utilizing a brokeragemulti-channel distribution system, consisting ofprovides efficient access to its broad customer base. Our insurance group works with select international, national and regional retail and wholesale brokers both wholesale and leading managing general agencies, including McNeil, to distribute our insurance products. The Arch U.K. Regional Division expanded our retail it can efficiently access a broad customer base while maintaining underwriting control and discipline.
distribution network in the U.K.
Grow strategic partnerships in stable and niche areas. Our insurance group aims to build more integrated long-term alignment with strategic partners offering superior access to niche opportunities, quality scalable businesses, or lines with reliable defensive qualities.
Our insurance group writes business on both an admitted and non-admitted basis. Our insurance group focuses on the following areas:various specialty lines, as described in note 4, “Segment Information,” to our consolidated financial statements in Item 8.
Construction and national accounts: primary and excess casualty coverages to middle and large accounts in the construction industry and a wide range of products for middle and large national accounts, specializing in loss sensitive primary casualty insurance programs (including large deductible, self-insured retention and retrospectively rated programs).
Excess and surplus casualty: primary and excess casualty insurance coverages, including middle market energy business, and contract binding, which primarily provides casualty coverage through a network of appointed agents to small and medium risks.
Lenders products: collateral protection, debt cancellation and service contract reimbursement products to banks, credit unions, automotive dealerships and original equipment manufacturers and other specialty programs that pertain to automotive lending and leasing.
Professional lines: directors’ and officers’ liability, errors and omissions liability, employment practices liability, fiduciary liability, crime, professional indemnity and other financial related coverages for corporate, private equity, venture capital, real estate investment trust, limited partnership, financial institution and not-for-profit clients of all sizes and medical professional and general liability


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insurance coverages for the healthcare industry. The business is predominately written on a claims-made basis.
Programs: primarily package policies, underwriting workers’ compensation and umbrella liability business in support of desirable package programs, targeting program managers with unique expertise and niche products offering general liability, commercial automobile, inland marine and property business with minimal catastrophe exposure.
Property, energy, marine and aviation: primary and excess general property insurance coverages, including catastrophe-exposed property coverage, for commercial clients. Coverages for marine include hull, war, specie and liability. Aviation and stand-alone terrorism are also offered.
Travel, accident and health: specialty travel and accident and related insurance products for individual, group travelers, travel agents and suppliers, as well as accident and health, which provides accident, disability and medical plan insurance coverages for employer groups, medical plan members, students and other participant groups.
Other: includes alternative market risks (including captive insurance programs), excess workers’ compensation and employer’s liability insurance coverages for qualified self-insured groups, associations and trusts, statutory Defense Base Act workers compensation and employers liability, and contract and commercial surety coverages, including contract bonds (payment and performance bonds) primarily for medium and large contractors and commercial surety bonds for Fortune 1000 companies and smaller transaction business programs.
Underwriting Philosophy. Our insurance group’s underwriting philosophy is to generate an underwriting profit (on both a gross and net basis) through prudent risk selection and proper pricing across all types of business. One key to this philosophy is the adherence to uniform underwriting standards across each product line that focuses on the following:
•    risk selection;
•    desired attachment point;
•    limits and retention management;
•    due diligence, including financial condition, claims history, management, and product, class and territorial exposure;
•    underwriting authority and appropriate approvals; and
•    collaborative decision making.
Premiums Written and Geographic Distribution. Set forth below is summary information regarding net premiums written for our insurance group:
 Year Ended December 31,
 2017 2016 2015
Amount % Amount % Amount %
Professional lines$452,748
 21 $440,149
 21 $434,024
 21
Programs386,618
 18 330,322
 16 423,157
 21
Construction and national accounts327,648
 15 328,997
 16 299,463
 15
Travel, accident and health247,738
 12 224,380
 11 160,132
 8
Excess and surplus casualty179,511
 9 214,863
 10 204,856
 10
Property, energy, marine and aviation172,240
 8 175,376
 9 203,186
 10
Lenders products96,867
 5 105,650
 5 106,916
 5
Other259,070
 12 252,544
 12 213,937
 11
Total$2,122,440
 100 $2,072,281
 100 $2,045,671
 100
            
By client location           
United States$1,744,560
 82 $1,718,415
 83 $1,710,918
 84
Europe185,365
 9 173,423
 8 187,020
 9
Asia and Pacific100,062
 5 93,752
 5 64,638
 3
Other92,453
 4 86,691
 4 83,095
 4
Total$2,122,440
 100 $2,072,281
 100 $2,045,671
 100
            
By underwriting location           
United States$1,715,467
 81 $1,690,208
 82 $1,673,867
 82
Europe344,836
 16 327,034
 16 317,998
 16
Other62,137
 3 55,039
 3 53,806
 3
Total$2,122,440
 100 $2,072,281
 100 $2,045,671
 100
Marketing. Our insurance group’s products are marketed principally through a group of licensed independent retail and wholesale brokers. Clients (insureds) are referred to our insurance group through a large number of international, national and regional brokers and captive managers who receive from the insured or insurer a set fee or brokerage commission usually equal to a percentage of gross premiums. In the past, our insurance group also entered into contingent
commission arrangements with some brokers that provided for the payment of additional commissions based on volume or profitability of business. Currently, some of our contracts with brokers provide for additional commissions based on volume. We have also entered into service agreements with select international brokers that provide access to their proprietary industry analytics. In general, our insurance group has no implied or explicit commitments to accept business from any particular broker and neither brokers nor any other third parties have the authority to bind our insurance group, except in the case where


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underwriting authority may be delegated contractually to select program administrators. Such administrators are subject to a due diligence financial and operational review prior to any such delegation of authority and ongoing reviews and audits are carried out as deemed necessary by our insurance group to assure the continuing integrity of underwriting and related business operations. See “Risk Factors—Risks Relating to Our Company—Industry, Business and Operations—We could be materially adversely affected to the extent that managing general agents, general agents and other producers exceedimportant third parties with whom we do business do not adequately or appropriately manage their underwriting authorities or if our agents, our insureds or other third partiesrisks, commit fraud or otherwise breach obligationsobligation owed to us.” For information on major brokers, see note 16,18, “Commitments and Contingencies—Concentrations of Credit Risk,” to our consolidated financial statements in Item 8.
Risk Management and Reinsurance. In the normal course of business, our insurance group may cede a portion of its premium on a quota share or excess of loss basis through treaty or facultative reinsurance agreements. Reinsurance arrangements do not relieve our insurance group from its primary obligations to insureds. Reinsurance recoverables are recorded as assets, predicated on the reinsurers’ ability to meet their obligations under the reinsurance agreements. If the reinsurers are unable to satisfy their obligations under the agreements, our insurance subsidiaries would be liable for such defaulted amounts. Our principal insurance subsidiaries, with oversight by a group-wide reinsurance steering committee (“RSC”), are selective with regard to reinsurers, seeking to place reinsurance with only those reinsurers which meet and maintain specific standards of established criteria for financial strength. The RSC evaluates the financial viability of its reinsurers through financial analysis, research and review of rating agencies’ reports and also monitors reinsurance recoverables and collateral with unauthorized reinsurers. The financial analysis includes ongoing qualitative and quantitative assessments of reinsurers, including a review of the financial stability, appropriate licensing, reputation, claims paying ability and underwriting philosophy of each reinsurer. Our insurance group will continue to evaluate its reinsurance requirements. See note 8, “Reinsurance,” to our consolidated financial statements in Item 8.

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For catastrophe-exposed insurance business, our insurance group seeks to limit the amount of exposure to catastrophic losses it assumes through a combination of managing aggregate limits, underwriting guidelines and reinsurance. For a discussion of our risk management policies, see “Management’s“Management’s Discussion and Analysis of Financial Condition and Results of Operations—Critical Accounting Policies, Estimates and Recent Accounting Pronouncements—Ceded Reinsurance” and “Risk Factors—Risks Relating to Our Industry—Industry, Business and Operations—The failure of any of the loss limitation methods we employ could have a material adverse effect on our financial condition or results of operations.”
Claims Management. Our insurance group’s claims management function is performed by claims professionals, as well as experienced external claims managers (third party administrators), where appropriate. In addition to investigating, evaluating and resolving claims, members of our insurance group’s claims departments work with underwriting professionals as functional teams in order to develop products and services desired by the group’s clients.
Reinsurance Operations
Our reinsurance operations are conducted on a worldwide basis through our reinsurance subsidiaries, Arch Re Bermuda, Arch Re U.S., Arch Syndicate 2012, Arch Syndicate 1955 and Arch Re Europe. Arch Re Bermuda is a registered Class 4 general business insurer and Class C long-term insurer and is headquartered in Hamilton, Bermuda. Arch Re U.S. is licensed or is an accredited or otherwise approved reinsurer in 50 states, the District of Columbia and Puerto Rico, the provinces of Ontario and Quebec in Canada with its principal U.S. offices in Morristown, New Jersey. Treaty operations in Canada are conducted through the Canadian branch of Arch Re U.S. (“Arch Re Canada”). Arch Re U.S. is also an admitted insurer in Guam. Our property facultative reinsurance operations are conducted primarily through Arch Re U.S. with certain executive functions conducted through Arch Re Facultative Underwriters Inc. located in Farmington, Connecticut. The property facultative reinsurance operations have offices throughout the U.S., Canada, Europe and in Europe.the U.K. Arch Re Europe, licensed and authorized as a non-life reinsurer and a life reinsurer, is headquartered in Dublin, Ireland with branch offices outside the EEA in Zurich and London. AMAL is the managing agent for the reinsurance operations of Arch Syndicate 1955.
In February 2017, Arch Underwriters (Gulf) Limited (“Arch Underwriters Gulf”) was licensed as an Insurance Manager by the Dubai Financial Services Authority. Arch Underwriters Gulf is based in the Dubai International Financial Centre and provides underwriting, administrative and support services to Arch Re Bermuda and certain employees and certain administrative support services to Gulf Re.
As of February 21, 2018, our reinsurance group had approximately 310 employees.
Strategy. Our reinsurance group’s strategy is to capitalize on our financial capacity, experienced management and operational flexibility to offer multiple products through our operations. The reinsurance group’s operating principles are to:
Actively select and manage risks. Our reinsurance group only underwrites business that meets certain profitability criteria, and it emphasizes disciplined underwriting over
premium growth. To this end, our reinsurance group maintains centralized control over reinsurance underwriting guidelines and authorities.
Maintain flexibility and respond to changing market conditions. Our reinsurance group’s organizational structure and philosophy allows it to take advantage of


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increases or changes in demand or favorable pricing trends. Our reinsurance group believes that its existing platforms in Bermuda, the U.S., U.K., Europe Dubai and Canada, broad underwriting expertise and substantial capital facilitate adjustments to its mix of business geographically and by line and type of coverage. Our reinsurance group believes that this flexibility allows it to participate in those market opportunities that provide the greatest potential for underwriting profitability.
Maintain a low cost structure. Our reinsurance group believes that maintaining tight control over its staffing level and operating primarily as a broker market reinsurer permits it to maintain low operating costs relative to its capital and premiums.
Our reinsurance group writes business on both a proportional and non-proportional basis and writes both treaty and facultative business. In a proportional reinsurance arrangement (also known as pro rata reinsurance, quota share reinsurance or participating reinsurance), the reinsurer shares a proportional part of the original premiums and losses of the reinsured. The reinsurer pays the cedent a commission which is generally based on the cedent’s cost of acquiring the business being reinsured (including commissions, premium taxes, assessments and miscellaneous administrative expenses) and may also include a profit factor. Non-proportional (or excess of loss) reinsurance indemnifies the reinsured against all or a specified portion of losses on underlying insurance policies in excess of a specified amount, which is called a “retention.” Non-proportional business is written in layers and a reinsurer or group of reinsurers accepts a band of coverage up to a specified amount. The total coverage purchased by the cedent is referred to as a “program.” Any liability exceeding the upper limit of the program reverts to the cedent.
The reinsurance group’s treaty operations generally seek to write significant lines on less commoditized classes of coverage, such as specialty property and casualty reinsurance treaties. However, with respect to other classes of coverage, such as property catastrophe and casualty clash, the reinsurance group’s treaty operations participate in a relatively large number of treaties where they believe that they can underwrite and process the business efficiently. The reinsurance group’s property facultative operations write reinsurance on a facultative basis whereby they assume part of the risk under primarily single insurance contracts. Facultative reinsurance is typically purchased by ceding

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companies for individual risks not covered by their reinsurance treaties, for unusual risks or for amounts in excess of the limits on their reinsurance treaties.
Our reinsurance group focuses on the following areas:various specialty lines, as described in note 4, “Segment Information,” to our consolidated financial statements in Item 8.
Casualty: provides coverage to ceding company clients on third party liability and workers’ compensation exposures from ceding company clients, primarily on a treaty basis.
Exposures include, among others, executive assurance, professional liability, workers’ compensation, excess and umbrella liability, excess motor and healthcare business.
Marine and aviation: provides coverage for energy, hull, cargo, specie, liability and transit, and aviation business, including airline and general aviation risks. Business written may also include space business, which includes coverages for satellite assembly, launch and operation for commercial space programs.
Other specialty: provides coverage to ceding company clients for proportional motor and other lines, including surety, accident and health, workers’ compensation catastrophe, agriculture, trade credit and political risk.
Property catastrophe: provides protection for most catastrophic losses that are covered in the underlying policies written by reinsureds, including hurricane, earthquake, flood, tornado, hail and fire, and coverage for other perils on a case-by-case basis. Property catastrophe reinsurance provides coverage on an excess of loss basis when aggregate losses and loss adjustment expense from a single occurrence or aggregation of losses from a covered peril exceed the retention specified in the contract.
Property excluding property catastrophe: provides coverage for both personal lines and commercial property exposures and principally covers buildings, structures, equipment and contents. The primary perils in this business include fire, explosion, collapse, riot, vandalism, wind, tornado, flood and earthquake. Business is assumed on both a proportional and excess of loss basis. In addition, facultative business is written which focuses on individual commercial property risks on an excess of loss basis.
Other. includes life reinsurance business on both a proportional and non-proportional basis, casualty clash business and, in limited instances, non-traditional business which is intended to provide insurers with risk management solutions that complement traditional reinsurance.
Underwriting Philosophy. Our reinsurance group employs a disciplined, analytical approach to underwriting reinsurance risks that is designed to specify an adequate premium for a given exposure commensurate with the amount of capital it anticipates placing at risk. A number of our reinsurance group’s underwriters are also actuaries. It is our reinsurance group’s belief that employing actuaries on the front-end of the underwriting process gives it an advantage in evaluating risks and constructing a high quality book of business.
As part of the underwriting process, our reinsurance group typically assesses a variety of factors, including:
adequacy of underlying rates for a specific class of business and territory;


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the reputation of the proposed cedent and the likelihood of establishing a long-term relationship with the cedent, the geographic area in which the cedent does business, together with its catastrophe exposures, and our aggregate exposures in that area;
historical loss data for the cedent and, where available, for the industry as a whole in the relevant regions, in order to compare the cedent’s historical loss experience to industry averages;
projections of future loss frequency and severity; and
the perceived financial strength of the cedent.
Premiums Written and Geographic Distribution. Set forth below is summary information regarding net premiums written for our reinsurance group:
 Year Ended December 31,
 2017 2016 2015
Amount % Amount % Amount %
Other specialty$459,213
 39 $348,852
 33 $298,794
 29
Casualty340,429
 29 305,252
 29 303,093
 29
Property excluding property catastrophe243,693
 21 267,548
 25 280,511
 27
Property catastrophe70,155
 6 75,789
 7 91,620
 9
Marine and aviation32,759
 3 37,790
 4 50,834
 5
Other28,225
 2 18,625
 2 13,556
 1
Total$1,174,474
 100 $1,053,856
 100 $1,038,408
 100
            
By client location           
United States$439,229
 37 $448,763
 43 $470,484
 45
Europe466,750
 40 337,168
 32 307,165
 30
Asia and Pacific86,133
 7 111,821
 11 94,609
 9
Bermuda89,004
 8 74,347
 7 80,888
 8
Other93,358
 8 81,757
 8 85,262
 8
Total$1,174,474
 100 $1,053,856
 100 $1,038,408
 100
            
By underwriting location           
Bermuda$350,681
 30 $277,625
 26 $281,985
 27
United States399,379
 34 432,683
 41 439,190
 42
Europe and other424,414
 36 343,548
 33 317,233
 31
Total$1,174,474
 100 $1,053,856
 100 $1,038,408
 100
Marketing. Our reinsurance group generally markets its reinsurance products through brokers, except our property facultative reinsurance group, which generally deals directly with the ceding companies. Brokers do not have the authority to bind our reinsurance group with respect to reinsurance agreements, nor does our reinsurance group commit in advance to accept any portion of the business that brokers submit to them. Our reinsurance group generally pays brokerage fees to
brokers based on negotiated percentages of the premiums written through such brokers. For information on major brokers, see note 16,18, “Commitments and Contingencies—Concentrations of Credit Risk,” to our consolidated financial statements in Item 8.
Risk Management and Retrocession. Our reinsurance group currently purchases a combination of per event excess of loss, per risk excess of loss, proportional retrocessional agreements and other structures that are available in the
market. Such arrangements reduce the effect of individual or aggregate losses on, and in certain cases may also increase the underwriting capacity of, our reinsurance group. Our reinsurance group will continue to evaluate its retrocessional requirements based on its net appetite for risk. See note 8, “Reinsurance,” to our consolidated financial statements in Item 8.
For catastrophe exposed reinsurance business, our reinsurance group seeks to limit the amount of exposure it assumes from any one reinsured and the amount of the aggregate exposure to catastrophe losses from a single event in any one geographic zone. For a discussion of our risk management policies, see “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Critical Accounting Policies, Estimates and Recent Accounting Pronouncements—Ceded Reinsurance” and “Risk Factors—Risks Relating to Our Industry—Industry, Business and Operations—The failure of any of the loss limitation methods we employ could have a material adverse effect on our financial condition or results of operations.”
Claims Management. Claims management includes the receipt of initial loss reports, creation of claim files, determination of whether further investigation is required, establishment and adjustment of case reserves and payment of claims. Additionally, audits are conducted for both specific claims and overall claims procedures at the offices of selected ceding companies. Our reinsurance group makes use of outside consultants for claims work from time to time.
Mortgage Operations
Our mortgage operations includeprovide U.S. and international mortgage insurance and reinsurance operations as well as participation in GSE credit risk sharingrisk-sharing transactions. Our mortgage group includes direct mortgage insurance in the U.S. primarily provided bythrough Arch Mortgage Insurance Company, and United Guaranty Residential Insurance Company, and Arch Mortgage Guaranty Company (together, “Arch MI U.S.”), as well as through Arch Mortgage Guaranty Company;; mortgage reinsurance byprimarily through Arch Re Bermuda to mortgage insurers on both a proportional and non-proportional basis globally; direct mortgage insurance in Europe provided bythe EEA and U.K. through Arch MI EuropeInsurance (EU), in Australia through Arch LMI, and in Hong Kong bythrough Arch MI Asia Limited (“Arch MI Asia”); and participation in various GSE credit risk-sharing products provided primarily bythrough Arch Re Bermuda.


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On January 30,In 2014 we completed the acquisition of CMG Mortgage Insurance Company from its owners, PMI Mortgage Insurance Co., in Rehabilitation (“PMI”) and CMFG Life Insurance Company (“CUNA Mutual”) and acquired PMI’s mortgage insurance platform and related assets. CMG Mortgage Insurance Company was renamed “Arch Mortgage Insurance Company” and entered the U.S. mortgage insurance marketplace.marketplace, underwriting on the Arch Mortgage Insurance Company platform. Arch Mortgage Insurance Company is licensed and operates in all 50 states, the District of Columbia and Puerto Rico.
On In December 31, 2016, we completed the acquisition of UGC as described earlier, and its primary operating subsidiary, United Guaranty

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Residential Insurance Company, which is licensed and operates in all 50 states and the District of Columbia.
Arch Mortgage Insurance Company and United Guaranty Residential Insurance Company have each been approved as an eligible mortgage insurer by Fannie Mae and Freddie Mac, subject to maintaining certain ongoing requirements (“eligible mortgage insurer”). Arch Mortgage Guaranty Company an affiliate of Arch Mortgage Insurance Company, offers direct mortgage insurance to U.S. mortgage lenders with respect to mortgages that lenders intend to retain in portfolio or include in non-agency securitizations. Arch Mortgage Guaranty Company, which is licensed in all 50 states and the District of Columbia, insures mortgages that are not intended to be sold to the GSEs, and it is therefore not approved by either GSE as an eligible mortgage insurer.
Arch MI EuropeInsurance (EU) was licensed and authorized by the Central Bank of Ireland (“CBOI”)CBOI in 2011 to operate on a pan-European basis under the European FreedomEU’s freedom of Services Act. Arch MI Europe is headquartered in Dublin, Ireland.establishment/freedom of services rules. Arch Underwriters Europe Limited (“Arch Underwriters Europe”), an Irish company authorized as an insurance and reinsurance intermediary by the CBOI, acts on behalf of Arch MI EuropeInsurance (EU) and Arch Re Europe with branch offices in the EEA in Italy and Finland and outside the EEA in Switzerland and the U.K., Finland In January 2019, Arch LMI was authorized by APRA to write lenders’ mortgage insurance. Arch LMI is headquartered in Sydney, Australia and Cyprus.focuses on providing direct lenders’ mortgage insurance and reinsurance to the Australian market.
On July 1, 2017, we completed our previously announced acquisition of Arch MI Asia from AIG. Arch MI Asia will focus on expanding origination opportunities for lenders in Hong Kong and throughout Asia.
As of February 21, 2018, our mortgage group had approximately 980 employees.
Strategy. The mortgage insurance market operates on its owna distinct underwriting cycle, with demand driven mainly by the housing market and general economic conditions. As a result, the creation of the mortgage group provides us with a more diverse revenue stream. Our mortgage group’s strategy is to capitalize on its financial capacity, mortgage insurance technology platform, operational flexibility and experienced
management to offer mortgage insurance, reinsurance and other risk-sharing products in the U.S. and around the world.
Our mortgage group’s operating principles and goals are to:
Capitalize on profitable underwriting opportunities. Our mortgage group believes that its experienced management, analytics and underwriting teams are positioned to identify and evaluate business with attractive risk/reward characteristics.
Maintain a disciplined credit risk philosophy. Our mortgage group’s credit risk philosophy is to generate underwriting profit through disciplined credit risk analysis and proper pricing. Our mortgage group believes that the key to this approach is maintaining discipline across all phases of the applicable housing and mortgage lending cycles.

Provide superior and innovative mortgage products and services. Our mortgage group believes that it can leverage its financial capacity, experience across insurance product lines and the mortgage finance industry, and its analytics and technology to provide innovative products and superior service. The mortgage group believes that its delivery of tailored products that meet the specific, evolving needs of its customers will be a key to the group’s success.
Maintain our position as a leading provider of U.S. mortgage insurance business. Prior to our 2014 acquisition, Arch Mortgage Insurance Company was the leading provider of mortgage insurance products and services to credit unions in the U.S. We broadened itsour customer base into national and regional banks and mortgage originators while maintaining and increasing itsour share of the mortgage insurance credit union market. With the acquisition of UGC in 2016, a leading provider of mortgage insurance products and services to national and regional banks and mortgage originators, we are thebecame a leading provider of U.S. mortgage insurance.
Our mortgage group focuses on the following areas:
Direct mortgage insurance in the United States. Under their monoline insurance licenses, each of Arch’s eligible mortgage insurers may only offer private mortgage insurance covering first lien, one-to-four family residential mortgages. Nearly all of our mortgage insurance written provides first loss protection on loans originated by mortgage lenders and sold to the GSEs. Each GSE’s Congressional charter generally prohibits it from purchasing a mortgage where the principal balance of the mortgage is in excess of 80% of the value of the property securing the mortgage unless the excess portion of the mortgage is protected against default by lender recourse, participation or by a qualified insurer. As a result, such


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“high “high loan-to-value mortgages” purchased by Fannie Mae or Freddie Mac generally are insured with private mortgage insurance.
Mortgage insurance protects the insured lender, investor or GSE against loss in the event of a borrower’s default. If a borrower defaults on mortgage payments, private mortgage insurance reduces, and may eliminate, losses to the insured. Private mortgage insurance may also facilitate the sale of mortgage loans in the secondary mortgage market because of the credit enhancement it provides. Our primary U.S. mortgage insurance policies predominantly cover individual loans and are effective at the time the loan is originated. We also may enter into insurance transactions with lenders and investors, under which we insure a portfolio of loans at or after origination. Although not currently a significant product, we may offer mortgage insurance on a “pool” basis in

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the future. Under pool insurance, the mortgage insurer provides coverage on a group of specified loans, typically for 100% of all contractual or policy-defined losses on every loan in the portfolio, subject to an agreed aggregate loss limit. Pool insurance may be in a first loss position with respect to loans that do not have primary mortgage insurance policies, or it may be in a second loss position, covering losses in excess of those covered by the primary mortgage insurance policy.
Direct mortgage insurance in Europe and other countries where we identify profitable underwriting opportunities. Since 2011, Arch MI EuropeInsurance (EU) has offered mortgage insurance to European mortgage lenders. Arch MI Europe’sInsurance (EU)’s mortgage insurance is primarily purchased by European mortgage lenders in order to reduce lenders’ credit risk and regulatory capital requirements associated with the insured mortgages. In certain European countries, lenders purchase mortgage insurance to facilitate regulatory compliance with respect to high loan-to-value residential lending. Arch MI EuropeInsurance (EU) offers mortgage insurance on both a “flow” basis to cover new originations and through structured transactions to cover one or more portfolios of previously originated residential loans. In addition, with our acquisition ofAustralia, Arch MI AsiaLMI provides lenders’ mortgage insurance on July 1, 2017, we will focus on expanding origination opportunities for lenders in Hong Kong and throughout Asia.
a direct basis.
Reinsurance. Arch Re Bermuda provides quota share reinsurance covering U.S. and international mortgages. Such amounts include a quota share reinsurance agreement with PMI pursuant to which it agreed to provide 100% quota share indemnity reinsurance to PMI for all certificates of insurance that were issued by PMI from January 1, 2009 through December 31, 2011 that were not in default as of an agreed upon effective date. Other than this quota share, no PMI legacy mortgage insurance exposures were assumed.
Other credit risk-sharing products. In addition to providing traditional mortgage insurance and reinsurance, we offer various credit risk-sharing products to government agencies and mortgage lenders. The GSEs have reduced their exposure to mortgage risk and continue to shift more ofby shifting it to the private sector, creating opportunities for insurers to assume additional mortgage risk. In 2013, Arch Re Bermuda became the first (re)insurance company to participate in Freddie Mac’s program to transfer certain credit risk in its single-family portfolio to the private sector. Since that time, Arch Re Bermuda and its affiliates have regularly participated in both Fannie Mae and Freddie Mac single family and multifamily risk sharing programs.
In 2015 we established Arch Mortgage Risk Transfer PCC Inc. (“Arch MRT”) a District of Columbia based protected cell captive insurer, licensed by District of Columbia Department of Insurance, Securities and Banking as a mortgage insurer. Arch MRT issues direct mortgage insurance to the GSEs through incorporated protected cells and cedes 100% of the risk to GSE approved reinsurers, including Arch Re U.S. Arch MRT entered into pilot transactions with both GSEs in 2018 that continued through 2020.
In 2019 we established Arch Credit Risk Services (Bermuda) (“ACRS”) Ltd. ACRS is licensed by the Bermuda Monetary Authority (“BMA”) as an insurance agent in Bermuda. ACRS offers mortgage credit assessment and underwriting advisory services with respect to participation in GSE credit risk transfer transactions.
Underwriting Philosophy. Our mortgage group believes in a disciplined, analytical approach to underwriting mortgage risks by utilizing proprietary and third party models, including forecasting delinquency and future home price movements with the goal of ensuring that premiums are adequate for the risk being insured. Experienced actuaries and statistical modelers are engaged in analytics to inform the underwriting process. As part of the underwriting process, our mortgage group typically assesses a variety of factors, including the:
ability and willingness of the mortgage borrower to pay its obligations under the mortgage loan being insured;
characteristics of the mortgage loan being insured and the value of the collateral securing the mortgage loan;
financial strength, quality of operations and reputation of the lender originating the mortgage loan;
expected future home price movements which vary by geography;
projections of future loss frequency and severity; and
adequacy of premium rates.
Premiums Written and Geographic Distribution. Set forth below is summary information regarding net premiums written for our mortgage group:
 Year Ended December 31,
 2017 2016 2015
Amount % Amount % Amount %
By client location           
United States$1,005,437
 90 $280,509
 72 $193,617
 72
Other105,905
 10 110,957
 28 73,876
 28
Total$1,111,342
 100 $391,466
 100 $267,493
 100
            
By underwriting location           
United States$903,329
 81 $186,826
 48 $125,317
 47
Other208,013
 19 204,640
 52 142,176
 53
Total$1,111,342
 100 $391,466
 100 $267,493
 100


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Sales and Distribution. We employ a sales force located throughout the U.S. to directly sell mortgage insurance products and services to our customers, which include mortgage originators such as mortgage bankers, mortgage brokers, commercial banks, savings institutions, credit unions and community banks. Our largest single mortgage insurance customer (including branches and affiliates) accounted for 4.8%5.4% and 4.0% of our primary new insurancegross premiums written during 2017 with nofor the years ending December 31, 2020 and 2019, respectively. No other customer accountingaccounted for greater than 3.5%.3.2% and 3.3% of the gross premiums written for the years ending December 31, 2020 and 2019, respectively. The percentage of our primary new insurancegross premiums written generated byon our top 10 customers was 20.3% in 2017.22% and 20.8% as of December 31, 2020 and 2019, respectively. In Europe, Asia, Bermuda and Bermuda,Australia, our products and services areare/or will be distributed on a direct basis and through brokers. Each country represents a unique set of opportunities and challenges that require knowledge of market conditions and client needs to develop effective solutions.
Risk Management. Exposure to mortgage risk is monitored globally and managed through underwriting guidelines,

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pricing, reinsurance, utilization of proprietary risk models, concentration limits and limits on net probable loss resulting from a severe economic downturn in the housing market. For a discussion of our risk management policies, see “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Critical Accounting Policies, Estimates and Recent Accounting Pronouncements—Ceded Reinsurance” and “Risk Factors—Risks Relating to Our Industry—Industry, Business and Operations—The failure of any of the loss limitation methods we employ could have a material adverse effect on our financial condition or results of operations.”
Our mortgage group has ceded a portion of its premium on a quota share basis through certain reinsurance agreements and through aggregate excess of loss reinsurance agreements which provide reinsurance coverage for delinquencies on portfolios of in-force policies issued between certain periods. See note 8, “Reinsurance,” to our consolidated financial statements in Item 8 for further details.
Reinsurance arrangements do not relieve our mortgage group from its primary obligations to insured parties. Reinsurance recoverables are recorded as assets, predicated on the reinsurers’ ability to meet their obligations under the reinsurance agreements. If the reinsurers are unable to satisfy their obligations under the agreements, our mortgage subsidiaries would be liable for such defaulted amounts. For our U.S. mortgage insurance business, in addition to utilizing reinsurance, we have developed a proprietary risk model that simulates the maximum loss resulting from a severe economic events impacting the housing market. See “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Catastrophic Events and Severe Economic Events.”
Claims Management. With respect to our direct mortgage insurance business, the claims process generally begins with
notification by the insured or servicer to us of a default on an insured loan. The insured is generally required to notify us of a default after the borrower becomesmisses two consecutive monthly payments in default.payments. Borrowers default for a variety of reasons, including a reduction of income, unemployment, divorce, illness, inability to manage credit, rising interest rate levels and declining home prices. Upon notice of a default, in certain cases we may coordinate with loan servicers to facilitate and enhance retention workouts on insured loans. Retention workouts include payment forbearance, loan modifications and other loan repayment options, which may enable borrowers to cure mortgage defaults and retain ownership of their homes. If a retention workout is not viable for a borrower, our loss on a loan may be mitigated through a liquidation workout option, including a pre-foreclosure sale or a deed-in-lieu of foreclosure.
In the U.S., our master policies generally provide that within 60 days of the perfection of a primary insurance claim, we have the option of:
paying the insurance coverage percentage specified in the certificate of insurance multiplied by the loss amount;
in the event the property is sold pursuant to an approved prearranged sale, paying the lesser of (i) 100% of the loss amount less the proceeds of sale of the property, or (ii) the specified coverage percentage multiplied by the loss amount; or
paying 100% of the loss amount in exchange for the insured’s conveyance to us of good and marketable title to the property, with us then selling the property for our own account.
While we select the claim settlement option that best mitigates the amount of our claim payment, in the U.S. we generally pay the coverage percentage multiplied by the loss amount.
Other Operations
In March 2014 we and HPS Investment Partners, LLC (formerly Highbridge Principal Strategies, LLC) (“HPS”), sponsored Watford Re.the formation of Watford. Arch Re Bermuda invested $100.0 million in Watford common equity and, acquiredas of February 16, 2021, Arch Re Bermuda owned approximately 11%10.3% of Watford’s common equity. We also own $35.0 million in aggregate principal amount of Watford ReHoldings Ltd’s 6.5% senior notes and a warrant to purchase additional common equity. Watford Re’sapproximately 6.6% of Watford’s preference shares. Watford’s strategy is to combine a diversified reinsurance and insurance business with a disciplined investment strategy comprised primarily of non-investment grade credit assets. Watford Re has itsWatford’s own management and board of directors and isare responsible for the overall profitability of its results.results and profitability. Arch Re Bermuda has appointed two directors to serve on the sixeight person board of directors of Watford. In the 2020, fourth quarter Arch Capital, Watford Re. We performedHoldings Ltd. and Greysbridge Ltd., a wholly-owned subsidiary of Arch Capital, entered into an analysisAgreement and Plan of Merger (as amended, the “Merger Agreement”) pursuant to which, among other things, Arch Capital agreed to acquire all of the common shares of Watford ReHoldings Ltd. not owned by Arch for a cash purchase price of $35.00 per common share. The transaction is expected to close in the first half of 2021, subject to customary closing conditions including regulatory and concluded that Watford Re isshareholder approval. Arch Capital has assigned its rights under the Merger Agreement to Greysbridge Holdings Ltd., a variable interest entity and that we are the primary beneficiarywholly-owned subsidiary of Watford Re. As such, 100%Arch Capital (“Greysbridge”). Upon closing of the results oftransaction, Watford will be wholly owned by Greysbridge and Greysbridge will be owned 40% by Arch Re are included in our consolidated financial statements.Bermuda, 30% by certain investment funds



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managed by Kelso & Company and 30% by certain investment funds managed by Warburg Pincus LLC. See note 12, “Variable Interest Entity and Noncontrolling Interests,” to our consolidated financial statements in Item 8 for further details.
In January 2017 we and Kelso & Company (“Kelso”) sponsored Premia Re. Premia Re’sthe formation of Premia. Premia’s strategy is to reinsure or acquire companies or reserve portfolios in the non-life property and casualty insurance and reinsurance run-off market. Arch Re Bermuda and certain Arch co-investors invested $100.0 million and acquired approximately 25% of Premia Re as well as warrants to purchase additional common equity. Affiliates of Kelso invested $300.0 million and acquired the balance of Premia Re as well as warrants to purchase additional common equity. Arch Re Bermuda is providing a 25% whole account quota share reinsurance treaty on certain business written by Premia, Re, and subsidiaries of Arch Capital are providing certain administrative and support services to Premia, Re, in each case pursuant to separate multi-year agreements. Arch Re Bermuda has appointed two directors to serve on the seven person board of directors of Premia. In the 2019 fourth quarter, Barbican entered into certain reinsurance and related transactions with Premia Re.pursuant to which Premia assumed a transfer of liability for the 2018 and prior years of account of Barbican as of July 1, 2019. See note 16, “Transactions with Related Parties,” to our consolidated financial statements in Item 8 for further details.
Employees
HUMAN CAPITAL
We have a results-driven culture which relies on our dedicated, engaged and talented employees. Our business strategy is focused on delivering specialty products and solutions to our customers in each of our operating segments, and our short- and long-term success depends on employee performance. Therefore, helping our people excel by creating a meaningful, challenging and fulfilling employee experience is of paramount importance. Through the global pandemic, a spirit of agility allowed us to transition virtually overnight to a home-based employee population. We successfully kept business operations up and running through effective collaboration, communication and resilience. As of February 21, 2018,15, 2021, we had just over 4,500 employees globally, compared to 4,300 last year, which directly speaks to our ability to grow and retain our talent in spite of the challenges we all faced with the pandemic. We have approximately 2,970 employees in North America (U.S., Canada and Bermuda), 810 employees in Europe and the U.K. and 730 employees in the Philippines and the rest of the world.
Our People and Culture. With colleagues in over 15 countries, we are driven by our common purpose of “Enabling Possibility” for our customers, our communities and our fellow employees. Our values of embracing teamwork, working hard and smart, continually pursuing innovation and improvement, striving to make a difference,
and exhibiting honesty and integrity in all that we do unite us in our unrelenting focus on providing service and solutions that make us a trusted and valued business partner. We use clearly defined policy and procedural supports such as our Code of Business Conduct and Compliance and Ethics training programs to ensure that we are unwavering in our attention to living our values.
A key aspect in top performance is enhancing our overall diversity while ensuring that we behave inclusively. By better reflecting the demographics in the markets in which we operate and embracing a culture of inclusion, we can leverage all of the best contributions and thinking across our Company. We are committed to positively impacting our employees and culture by integrating diversity and inclusion principles in our operations. In 2020, we launched six employee networks to offer employees from various demographic backgrounds a forum to share ideas, build a sense of community and give voice to topics of interest and contribute meaningfully to business outcomes.

Talent Acquisition, Development, Rewards and Retention. Our employees are our greatest asset, and we maintain a sharp focus on continuously improving the ways we attract, develop and retain our high-performing talent. We provide unique career growth opportunities through a combination of on-the-job experiences, exposure to top-notch colleagues and education and training programs designed to accelerate learning and applying new skills and behaviors. We offer competitive compensation and comprehensive benefits packages, including an employee share purchase plan, parental leave, generous contributions to retirement savings plans and corporate discounts and programs to support employee mental and physical well-being. Our Arch CapitalAchieve program has recognized over 360 employees for excellence since its inception in 2009, with each recipient of this distinction receiving shares of our common stock as recognition of their accomplishments.
We also encourage employees to continue their educational and its subsidiaries employed approximately 3,140 full-time employees.professional development through student loan payback assistance and tuition reimbursement plans. To attract the best talent to our industry, we also offer internship programs and an Early Career Program with an Underwriting Track which provides participants with a robust introduction and real technical skills to build a successful career at Arch. In addition, we have targeted programs to attract talent that will diversify our workforce. Experienced professionals at Arch may participate in manager and leadership development programs and, for our mortgage insurance segment employees, we offer the opportunity to seek a Mortgage Bankers Association Certified Banker designation.


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RESERVES

Reserve estimates are derived after extensive consultation with individual underwriters and claims professionals, actuarial analysis of the loss reserve development and comparison with industry benchmarks. Our reserves are established and reviewed by experienced internal actuaries. Generally, reserves are established without regard to whether we may subsequently contest the claim. We do not currently discount our loss reserves except for excess workers’ compensation and employers’ liability loss reserves in our insurance operations.
Reserves for losses and loss adjustment expenses (“Loss Reserves”) represent estimates of what the insurer or reinsurer ultimately expects to pay on claims at a given time, based on facts and circumstances then known, and it is probable that the ultimate liability may exceed or be less than such estimates. Even actuarially sound methods can lead to subsequent adjustments to reserves that are both significant and irregular due to the nature of the risks written. Loss Reserves are inherently subject to uncertainty.
In establishingFor detail on our Loss Reserves including loss adjustment expenses (“LAE”), we have made various assumptions relating to the pricing of our reinsurance contractsby segment and insurance policies and have also considered available historical industry experience and current industry conditions. The timing and amounts of actual claim payments related to recorded reserves vary based on many factors including large individual losses and changespotential variability in the legal environment, as well as general market conditions. The ultimate amountreserving process, see the Loss Reserves section of the claim payments could differ materially from our estimated amounts. Certain lines of business written by us, such as excess casualty, have loss
experience characterized as low frequency and high severity. This may result in significant variability in loss payment patterns and, therefore, may impact the related asset/liability investment management process in order to be in a position, if necessary, to make these payments. See “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Critical Accounting Policies, Estimates and Recent Accounting Pronouncements—Reserves for Losses and Loss Adjustment Expenses.”
Our initial reserving method to date has to a large extent been the expected loss method, which is commonly applied when limited loss experience exists. We select the initial expected loss and loss adjustment expense ratios based on information derived by our underwriters and actuaries during the initial pricing of the business, supplemented by industry data where appropriate. These ratios consider, among other things, rate changes and changesPronouncements” in terms and conditions that have been observed in the market. Any estimates and assumptions made as part of the reserving process could prove to be inaccurate due to several factors, including the fact that relatively limited historical information has been reported to us through December 31, 2017. We employ a number of different reserving methods depending on the segment, the line of business, the availability of historical loss experience and the stability of that loss experience. Over time, we have given additional weight to our historical loss experience in our reserving process due to the continuing maturation of our reserves, and the increased availability and credibility of the historical experience.
Item 7. For additional information regarding the key underlying movements in our losses and loss adjustment expenses by segment, see “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Results of Operations.”


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The following table represents an analysis of consolidated losses and loss adjustment expenses and a reconciliation of the beginning and ending Loss Reserves and information about prior year reserve development, see note 5, “Reserve for lossesLosses and loss adjustment expenses:Loss Adjustment Expenses,” to our consolidated financial statements in Item 8. For information on our reserving process, see note 6, “Short Duration Contracts,” to our consolidated financial statements in Item 8.
 Year Ended December 31,
 2017 2016 2015
Loss Reserves at beginning of year$10,200,960
 $9,125,250
 $9,036,448
Unpaid losses and LAE recoverable2,083,575
 1,828,837
 1,778,303
Net Loss Reserves at beginning of year8,117,385
 7,296,413
 7,258,145
      
Net incurred losses and LAE relating to losses occurring in:     
Current year3,205,428
 2,455,563
 2,336,026
Prior years(237,982) (269,964) (285,123)
Total net incurred losses and LAE2,967,446
 2,185,599
 2,050,903
      
Net Loss Reserves of acquired
business (1)

 551,096
 262
      
Foreign exchange losses (gains)186,963
 (102,367) (143,653)
      
Net paid losses and LAE relating to losses occurring in:     
Current year(505,424) (445,700) (454,179)
Prior years(1,847,488) (1,367,656) (1,415,065)
Total net paid losses and LAE(2,352,912) (1,813,356) (1,869,244)
      
Net Loss Reserves at end of year8,918,882
 8,117,385
 7,296,413
Unpaid losses and LAE recoverable2,464,910
 2,083,575
 1,828,837
Loss Reserves at end of year$11,383,792
 $10,200,960
 $9,125,250
(1)2016 amount relates to our acquisition of UGC.

Unpaid and paid losses and loss adjustment expenses recoverable were approximately $2.54$4.5 billion at December 31, 2017. We are subject to credit risk with respect to2020. For detail on our reinsuranceunpaid and retrocessions becausepaid losses and loss adjustment expenses, see the cedingReinsurance Recoverables section of risk to reinsurers and retrocessionaires does not relieve us of our liability to the clients or companies we insure or reinsure. Our failure to establish adequate reinsurance or retrocessional arrangements or the failure of our existing reinsurance or retrocessional arrangements to protect us from overly concentrated risk exposure could materially adversely affect our financial condition and results of operations. Although we monitor the financial condition of our reinsurers and retrocessionaires and attempt to place coverages only with substantial, financially sound carriers, we may not be successful “Financial Condition, Reinsurance Recoverables” in doing so.Item 7.

INVESTMENTS

At December 31, 2017,2020, total investable assets held by Arch were $19.72$26.9 billion, excluding the $2.44$2.7 billion included in the ‘other’ segment (i.e., attributable to Watford Re)Watford). Our current investment guidelines and approach stress preservation of capital, market liquidity and diversification of risk. Our investments are subject to market-wide risks and fluctuations, as well as to risks inherent in particular securities. While maintaining our emphasis on preservation of capital and
liquidity, we expect our portfolio to become more diversified and, as a result, we may in the future expand into areas which are not part of our current investment strategy.
Our fixed maturities, fixed maturities pledged under securities lending agreements For detail on our investments, see the Investable Assets Held by Arch section of “Financial Condition” in Item 7 and short-term investments had an average credit quality rating of “AA-” from Standard & Poor’s (“S&P”) and “Aa2” from Moody’s Investors Service (“Moody’s”) at December 31, 2017, compared to “AA-” and “Aa3” at December 31, 2016. Our investment portfolio had an average effective duration of approximately 2.83 years and 3.64 years at December 31, 2017 and 2016, respectively.

The following table summarizes our invested assets: 
 December 31, 2017 December 31, 2016
 Amount % Amount %
Investable assets (1) (2):       
Fixed maturities available for sale, at fair value$13,876,003
 70.4
 $13,426,577
 72.0
Fixed maturities, at fair value (3)465,822
 2.4
 364,856
 2.0
Fixed maturities pledged under securities lending agreements, at fair value456,388
 2.3
 730,341
 3.9
Total fixed maturities14,798,213
 75.1
 14,521,774
 77.9
        
Equity securities available for sale, at fair value495,804
 2.5
 518,041
 2.8
Equity securities, at fair value (3)71,707
 0.4
 25,328
 0.1
Equity securities pledged under securities lending agreements, at fair value8,529
 
 14,639
 0.1
Total equity securities576,040
 2.9
 558,008
 3.0
        
Other investments available for sale, at fair value264,989
 1.3
 167,970
 0.9
Other investments, at fair value (3)1,211,971
 6.1
 1,108,871
 6.0
Total other investments1,476,960
 7.4
 1,276,841
 6.9
        
Investments accounted for using the equity method (4)1,041,322
 5.3
 811,273
 4.4
        
Short-term investments available for sale, at fair value1,469,042
 7.5
 612,005
 3.3
Short-term investments, at fair value (3)40,671
 0.2
 64,542
 0.3
Total short-term investments1,509,713
 7.7
 676,547
 3.6
        
Cash551,696
 2.8
 768,049
 4.1
        
Securities transactions entered into but not settled at the balance sheet date(237,523) (1.2) 23,697
 0.1
Total investable assets held by Arch$19,716,421
 100.0
 $18,636,189
 100.0


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(1)The table above excludes investable assets attributable to the ‘other’ segment. Such amounts are summarized as follows:
(U.S. dollars in thousands)December 31,
2017
 December 31,
2016
Investable assets in ‘other’ segment:   
Cash$54,503
 $74,893
Investments accounted for using the fair value option2,426,066
 1,857,623
Securities sold but not yet purchased(34,375) (33,157)
Securities transactions entered into but not settled at the balance sheet date(6,127) (41,596)
Total investable assets included in ‘other’ segment$2,440,067
 $1,857,763
(2)This table excludes the collateral received and reinvested and includes the securities pledged under securities lending agreements, at fair value.
(3)Represents investments which are carried at fair value under the fair value option and reflected as “investments accounted for using the fair value option” on our balance sheet. Changes in the carrying value of such investments are recorded in net realized gains or losses.
(4)Changes in the carrying value of investment funds accounted for using the equity method are recorded as “equity in net income (loss) of investment funds accounted for using the equity method” rather than as an unrealized gain or loss component of accumulated other comprehensive income.

The credit quality distribution of our fixed maturities and fixed maturities pledged under securities lending agreements are shown below:
  December 31, 2017 December 31, 2016
Rating (1) Fair Value % Fair Value %
U.S. government and government agencies (2) $3,771,835
 25.5
 $3,210,899
 22.1
AAA 4,080,808
 27.6
 3,918,739
 27.0
AA 2,440,864
 16.5
 3,148,226
 21.7
A 2,470,936
 16.7
 2,338,834
 16.1
BBB 1,157,136
 7.8
 1,203,942
 8.3
BB 313,286
 2.1
 226,321
 1.6
B 254,011
 1.7
 156,405
 1.1
Lower than B 77,543
 0.5
 90,833
 0.6
Not rated 231,794
 1.6
 227,574
 1.6
Total $14,798,213
 100.0
 $14,521,774
 100.0
(1)For individual fixed maturities, S&P ratings are used. In the absence of an S&P rating, ratings from Moody’s are used, followed by ratings from Fitch Ratings.
(2)Includes U.S. government-sponsored agency mortgage backed securities and agency commercial mortgage backed securities.
See “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Financial Condition, Liquidity and Capital Resources—Financial Condition—Investable Assets” and note 9, “Investment Information,” to our consolidated financial statements in Item 8.
The following table summarizes the pre-tax total return (before investment expenses) of investment held by Arch compared to the benchmark return (both based in U.S. Dollars) against which we measured our portfolio during the periods:
 Arch Benchmark
 Portfolio (1) Return
Pre-tax total return (before investment expenses):   
Year Ended December 31, 20175.87% 4.74 %
Year Ended December 31, 20162.07% 2.13 %
Year Ended December 31, 20150.41% (0.38)%
(1) Our investment expenses were approximately 0.30%, 0.34% and 0.35%, respectively, of average invested assets in 2017, 2016 and 2015.
The benchmark return index is a customized combination of indices intended to approximate a target portfolio by asset mix and average credit quality while also matching the approximate estimated duration and currency mix of our insurance and reinsurance liabilities. See “Management’s Discussion and Analysis of Financial Condition and Results of Operations—General—Financial Measures—Total Return on Investments”.
RATINGS

Our ability to underwrite business is affected by the quality of our claims paying ability and financial strength ratings as evaluated by independent agencies. Such ratings from third party internationally recognized statistical rating organizations or agencies are instrumental in establishing the financial security of companies in our industry. We believe that the primary users of such ratings include commercial and investment banks, policyholders, brokers, ceding companies and investors. Insurance ratings are also used by insurance and reinsurance intermediaries as an important means of assessing the financial strength and quality of insurers and reinsurers, and are often an important factor in the decision by an insured or intermediary of whether to place business with a particular insurance or reinsurance provider. Periodically,
The financial strength ratings of our operating insurance and reinsurance subsidiaries are subject to periodic review as rating agencies evaluate us to confirm that we continue to meet their criteria for the ratings they have assigned to us by them.us. Such ratings may be revised or revoked at the discretion of such ratings agencies in response to a variety of factors, including capital adequacy, management, earnings, forms of capitalization and risk profile. A.M. Best Company (“A.M. Best”), Fitch Ratings (“Fitch”), Moody’s Investors Service (“Moody’s”) and Standard & Poor’s (“S&P&P”) are ratings agencies which have assigned financial strength and/or issuer ratings to Arch Capital and/or one or more of its subsidiaries.
The ratings issued on our companies by these agencies are announced publicly and are available directly from the agencies. For furtherOur website (www.archcapgroup.com (Investor Relations-Credit Ratings) contains information about our ratings, but such information on our financial strength and/or issuer ratings, see “Management’s Discussion and Analysiswebsite is not incorporated by reference into this report.

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COMPETITION

The worldwide reinsurance and insurance businesses are highly competitive. We compete, and will continue to compete, with major U.S. and non-U.S. insurers and reinsurers, some of which have greater financial, marketing and management resources than we have and longer-term relationships with insureds and brokers than we have had. We compete with other insurers and reinsurers primarily on the basis of overall financial strength,


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ratings assigned by independent rating agencies, geographic scope of business, strength of client relationships, premiums charged, contract terms and conditions, products and services offered, speed of claims payment, reputation, employee experience, and qualifications and local presence. See “Risk Factors—Risks Relating to Our Industry, Business and Operations—“We operate in a highly competitive environment, and we may not be able to compete successfully in our industry.”

In our property casualty insurance business,and reinsurance businesses, we compete with insurers and reinsurers that provide specialty property and casualty lines of insurance, including Alleghany Corporation, Allied World Assurance Company, Ltd., American Financial Group, Inc., American International Group, Inc., AXA XL, AXIS Capital Holdings Limited, Berkshire Hathaway, Inc., Chubb Limited, CNA Financial Corp., Everest Re Group Ltd., Fairfax Financial Holdings Limited, Hannover Rück SE, The Hartford Financial Services Group, Inc., Ironshore Inc., Liberty Mutual Insurance,Group, Lloyd’s, Markel Insurance Company, RLI Corp., Sompo International, Tokio Marine HCC, The Travelers Companies, W.R. Berkley Corp., XL Group Ltd and Zurich Insurance Group. In our reinsurance business, we compete with reinsurers that provide property and casualty lines of reinsurance, including Alleghany Corporation, Argo International Holdings, Ltd., AXIS Capital Holdings Limited, Berkshire Hathaway, Inc., Chubb Limited, Everest Re Group Ltd., Hannover Rückversicherung AG, Lloyd’s, Markel Global Reinsurance, Munich Re Group, PartnerRe Ltd., RenaissanceRe Holdings Ltd., RLI Corp., SCOR, Global P&C, SCOR Global Life, Sompo International, Swiss Reinsurance Company, Validus Holdings Ltd.Tokio Marine HCC, The Travelers Companies, Inc., W.R. Berkley Corp. and XL Group Ltd.Zurich Insurance Group.
In our U.S. mortgage business, we compete with five active U.S. mortgage insurers, which include the mortgage insurance subsidiaries of Essent Group Ltd., Genworth Financial Inc., MGIC Investment Corporation, NMI Holdings Inc. and Radian Group Inc. The private mortgage insurance industry is highly competitive. Private mortgage insurers generally compete on the basis of underwriting guidelines, pricing, terms and conditions, financial strength, product and service offerings, customer relationships, reputation, the strength of management, technology, and innovation in the delivery and servicing of insurance products. Arch MI U.S. and other private mortgage insurers compete with federal and state government agencies that sponsor their own mortgage insurance programs. The private mortgage insurers’ principal government competitor is the Federal Housing Administration (“FHA”) and, to a lesser degree, the U.S. Department of Veterans Affairs (“VA”). The mortgage insurance industry’s business has been limited as a result of competition with the FHA, which substantially increased its market share beginning in 2008. In January 2015, the FHA reduced up-front premium rates associated with its mortgage insurance program. Future changes to the FHA program, including any reduction to premiums charged may impact the demand for private mortgage insurance.
Arch MI U.S. and other private mortgage insurers increasingly compete with multi-line reinsurers and capital markets alternatives to private mortgage insurance. In 2017, theThe GSEs continued their respective mortgage credit risk transfer (CRT)(“CRT”) programs including the use of front and back-end transactions
with multiline reinsurers. These transactions continue to create opportunities for multiline property casualty reinsurance groups including, among others, PartnerRe Ltd., Transatlantic Reinsurance Company, Everest Re Group Ltd. and RenaissanceRe Holdings Ltd. along with capital markets participants. The ongoing expansion of the GSEs risk transfer programs continue to attract additional reinsurers into the market with between 30 and 40 reinsurers now competing for business.
For other U.S. risk sharing products and non-U.S. mortgage insurance opportunities, we have also seen increased competition from well capitalized and highly rated multiline reinsurers. It is our expectation that the depth and capacity of competitors from this segment will continue to increase over the next several years as more residential mortgage credit risk is borne by private capital.
ENTERPRISE RISK MANAGEMENT

General. Enterprise Risk Management (“ERM”) is a key element in our philosophy, strategy and culture. We employ an ERM framework that includes underwriting, reserving, investment, credit and operational risks. Risk appetite and exposure limits are set by our executive management team, reviewed with the Board and its committees and routinely discussed with business unit management. These limits are articulated in our risk appetite statement, which details risk appetite, tolerances and limits for each major risk category, and are integrated into our operating guidelines. Exposures are aggregated and monitored periodically by our corporate risk management team. The reporting, review and approval of risk management information is integrated into our annual planning process, capital modeling and allocation, reinsurance purchasing strategy and reviewed at insurance business reviews, reinsurance underwriting meetings and board level committees.
Risk Management Process and Procedures. The following narrative provides an overview of our risk management framework and our methodology for identifying, measuring, managing and reporting on the key risks affecting us. It outlines our approach to risk identification and assessment and provides an overview of our risk appetite and tolerance for each of the following major risks: underwriting (insurance) risk including pricing, reserving and catastrophe; investment orincluding market and liquidity risks; strategic risk; counterpartygroup risk including governance and capital market risk; credit risk; and operational risk, including governance, regulatory, business/strategic, investor relations (reputational risk), rating agency and outsourcing risks.
The framework includes details of our risk philosophy and policies to address the material risks confronting us; and compliance, approach and procedures to control and or mitigate these risks. The actions and policies implemented to

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of this framework. We have adopted a holistic approach to risk management by analyzing risk from both a top-down and bottom-up perspective.
Risk Identification and Assessment. The Finance, Investment and Risk Committee (“FIR Committee”), Audit Committee and Underwriting Oversight Committee of the Board oversee the top-down and bottom-up review of our risks. Given the nature and scale of our operations, these committees consider insurance, investments and operationalall aforementioned risks within the scope of the assessment. Arch Capital’s Chief Risk Officer (“CRO”) assists these committees in the identification and assessment of all key risks. The CRO is responsible for maintaining Arch Capital’s risk register and continually reviewing and challenging risk assessments, including the impact of emerging risks and significant business developments. Board approval is required for any new high level risks or change in inherent or residual designations.
Risk Monitoring and Control. Arch Capital’s risk management framework requires risk owners to monitor key risks on a continuous basis. The highest residual risks are actively managed by the FIR Committee. The remaining risks are managed and monitored at a process level by the risk owners and/or the CRO. Risk owners have ultimate responsibility for the day-to-day management of each designated risk, reporting to the CRO on the satisfactory management and control of the risk and timely escalation of significant issues that may arise in relation to that risk. The CRO is responsible for overseeing the monitoring of all risks across the business and for communicating to the relevant risk owners if heshe becomes aware of issues, or potential and actual breaches of risk appetite, relevant to the assigned risks. A key element of these monitoring activities is the evaluation of our position relative to risk tolerances and limits approved by the Board.
Risk Reporting. Quarterly, the CRO compiles the results of the key risk review process into a report to the FIR Committee for review and discussion at their quarterly meeting. The report includes an overview of selected key risks; a risk dashboard that depicts the status of risk limit and tolerance metrics; changes in the rating of high level risks in the Arch Capital risk register; a risk dashboard that depicts the statusand summaries of risk limit and tolerance metrics; a summary ofour largest exposures and concentration risks; and our reinsurance arrangements, including outstanding and uncollectible recoveries.recoverables. If necessary, risk management matters reviewed at the FIR Committee meeting are presented for discussion by the Board. The CRO is responsible for immediately escalating any significant risk matters to executive management, the FIR Committee and/or the Board for approval of the required remediation. As part of our corporate governance, the Board and certain of its committees hold regular executive sessions with members of our management team. These sessions are intended to ensure an open and frank dialogue exists about various forms of risk across the organization.
Implementation and Integration. We believe that an integrated approach to developing, measuring and reporting our Own Risk and Solvency Assessment (“ORSA”) is an integral part of the risk management framework. The ORSA process provides the link between Arch Capital’s risk profile, its board-approved risk appetite including approved risk tolerances and limits, its business strategy and its overall solvency requirements. The ORSA is the entirety of the processes and procedures employed to identify, assess, monitor, manage, and report the short- and long-term risks we face or may face and to determine the capital necessary to ensure that our overall solvency needs are met at all times. The ORSA also makes the link between actual reported results and the capital assessment.
The ORSA is the basis for risk reporting to the Board and its committees and acts as a mechanism to embed the risk management framework within our decision making processes and operations. The Board has delegated responsibility for supervision and oversight of the ORSA to the FIR Committee. This oversight includes regular reviews of the ORSA process and output. An ORSA report is produced at least annually and the results of each assessment are reported to the Board. The Board actively participates in the ORSA process by steering how the assessment is performed and challenging its results. This assessment is also taken into account when formulating strategic decisions.
The ORSA process and reporting are integral parts of our business strategy, tailored specifically to fit into our organizational structure and risk management system with the appropriate techniques in place to assess our overall solvency needs, taking into consideration the nature, scale and complexity of the risks inherent in the business.
We also take the results of the ORSA into account for our system of governance, including long-term capital management, business planning and new product development. The results of the ORSA also contributes to various strategic decision-making including how best to optimize capital management, establishing the most appropriate premium levels and deciding whether to retain or transfer risks.
Pronouncements” in Item 7.


REGULATION
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REGULATION

General
Our insurance and reinsurance subsidiaries are subject to varying degrees of regulation and supervision in the various jurisdictions in which they operate. We are subject to

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extensive regulation under applicable statutes in these countries and any other jurisdictions in which we operate. The current material regulations under which we operate are described below. We may become subject in the future to regulation in new jurisdictions or to additional regulations in existing jurisdictions.
Bermuda
General. Our Bermuda insurance operating subsidiary, Arch Re Bermuda, is a Class 4 general business insurer and a Class C long-term insurer, and is subject to the Insurance Act 1978 of Bermuda and related regulations, as amended (“Insurance Act”). TheAmong other matters, the Insurance Act imposes certain solvency and liquidity standards, and auditing and reporting requirements, the submission of certain period examinations of its financial conditions and grants the Bermuda Monetary Authority (the “BMA”)BMA powers to supervise, investigate, require information and demand the production of documents and intervene in the affairs of insurance companies. Significant requirements include the appointment of an independent auditor, the appointment of a loss reserve specialist, the appointment of a principal representative in Bermuda, the filing of annual Statutory Financial Returns, the filing of annual financial statements in accordance with U.S. generally accepted accounting principles (“GAAP”), the filing of an annual capital and solvency return, compliance with minimum and enhanced capital requirements, compliance with certain restrictions on reductions of capital and the payment of dividends and distributions, compliance with group solvency and supervision rules, if applicable, and compliance with the Insurance Code of Conduct (relating to corporate governance, risk management and internal controls).
Arch Re Bermuda must also comply with a minimum liquidity ratio and minimum solvency margin in respect of its general business. The minimum liquidity ratio requires that the value of relevant assets must not be less than 75% of the amount of relevant liabilities. The minimum solvency margin, which varies depending on the class of the insurer, is determined as a percentage of either net reserves for losses and LAEloss adjustment expenses (“LAE”) or premiums or pursuant to a risk-based capital measure. Arch Re Bermuda is also subject to an enhanced capital requirement (“ECR”) which is established by reference to either the Bermuda Solvency Capital Requirement model (“BSCR”) or an approved internal capital model. The BSCR model is a risk-based capital model which provides a method for determining an insurer’s capital requirements (statutory capital and surplus) by taking into account the risk characteristics of different aspects of the insurer’s business. The BMA has established a
target capital level for each Class 4 insurer equal to 120% of its enhanced capital requirement.ECR. While a Class 4 insurer is not currently required to maintain its available statutory economic capital and surplus at this level, the target capital level serves as an early warning tool for the BMA, and failure
to maintain statutory capital at least equal to the target capital level will likely result in increased regulatory oversight. As a Class C insurer, Arch Re Bermuda is also required to maintain available statutory economic capital and surplus in respect of its long-term business at a level equal to or in excess of its long-term enhanced capital requirement which is established by reference to either the Class C BSCR model or an approved internal capital model.
Arch Re Bermuda is prohibited from declaring or paying any dividends during any financial year if it is in breach of its general business or long-term business enhanced capital requirements, minimum solvency margins or its general business minimum liquidity ratio or if the declaration or payment of such dividends would cause such a breach. If it has failed to meet its minimum solvency margins or minimum liquidity ratio on the last day of any financial year, Arch Re Bermuda will be prohibited, without the approval of the BMA, from declaring or paying any dividends during the next financial year. In addition, Arch Re Bermuda is prohibited from declaring or paying in any financial year dividends of more than 25% of its total statutory capital and surplus (as shown on its previous financial year’s statutory balance sheet) unless it files (at least seven days before payment of such dividends) with the BMA an affidavit stating that it will continue to meet the required margins.Without the approval of the BMA, Arch Re Bermuda is prohibited from reducing by 15% or more its total statutory capital as set out in its previous year’s financial statements and any application for such approval must include an affidavit stating that it will continue to meet the required margins. Without the approval of the BMA, Arch Re Bermuda is prohibited from reducing by 15% or more its total statutory capital as set out in its previous year’s financial statements and any application for such approval must include an affidavit stating that it will continue to meet the required margins. Where such an affidavit is filed, it shall be available for public inspection at the offices of the BMA. Under the Bermuda Companies Act of 1981, as amended, Arch Re Bermuda may declare or pay a dividend out of distributable reserves only if it has reasonable grounds for believing that it is, or would after the payment be, able to pay its liabilities as they become due and if the realizable value of its assets would thereby not be less than its liabilities. The Insurance Amendment (No. 2) Act 2018 amended the Insurance Act to provide for the prior payment of policyholders’ liabilities ahead of general unsecured creditors in the event of the liquidation or winding up of an insurer. The amendments provide inter alia that, subject to certain statutorily preferred debts, the insurance debts of an insurer must be paid in priority to all other unsecured debts of the insurer. Insurance debt is defined as a debt to which an insurer is or may become liable pursuant to an insurance contract excluding debts owed to an insurer under an insurance contract where the insurer is the person insured.

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Group Supervision. The BMA acts as group supervisor of our group of insurance and reinsurance companies (“Group”) and has designated Arch Re Bermuda as the designated insurer (“Designated Insurer”). As our Group supervisor, the BMA performs a number of functions including: (i) coordinating the gathering and dissemination of relevant or essential information for going concerns and emergency situations, including the dissemination of information which is of importance for the supervisory task of other regulatorycompetent authorities; (ii) carrying out supervisory reviews and assessments of our Group; (iii) carrying out assessments of our Group's compliance with the rules on solvency, risk concentration, intra-group transactions and good governance procedures; (iv) planning and coordinating through regular meetings held at least annually (or by other appropriate means) with other competent authorities, supervisory activities in respect of our Group; both as a going concern and in emergency situations (v) coordinating any enforcement action that may need to be taken against our Group or any Group members; and (vi) planning and coordinating meetings of colleges of supervisors in order to facilitate the carrying out of these functions. As Designated Insurer, Arch Re Bermuda is required to facilitate compliance by our Group with the group insurance solvency and supervision rules.


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On an annual basis, the Group is required to file Group statutory financial statements, a Group statutory financial return, a Group capital and solvency return, audited Group financial statements, a Group Solvency Self-Assessment (“GSSA”), and a financial condition report with the BMA. The GSSA is designed to document our perspective on the capital resources necessary to achieve our business strategies and remain solvent, and to provide the BMA with insights on our risk management, governance procedures and documentation related to this process. In addition, the Designated Insurer is required to file quarterly group financial returns with the BMA. The Group is also required to maintain available Group statutory economic capital and surplus in an amount that is at least equal to the group enhanced capital requirement (“Group ECR”) and the BMA has established a group target capital level equal to 120% of the Group ECR.
The BMA maintains supervision over the controllers of all Bermuda registered insurers, and accordingly, any person who, directly or indirectly, becomes a holder of at least 10%, 20%, 33% or 50% of our ordinary shares must notify the BMA in writing within 45 days of becoming such a holder (or ceasing to be such a holder). The BMA may object to such a person and require the holder to reduce its holding of ordinary shares and direct, among other things, that voting rights attaching to the ordinary shares shall not be exercisableexercisable.
Economic Substance Act. During 2017, the EU’s Economic and Financial Affairs Council released a list of non-cooperative jurisdictions for tax purposes. The stated purpose of this list, and accompanying report, was to promote good governance worldwide in order to maximize efforts to prevent tax fraud and tax evasion. Bermuda was not on the list of non-cooperative jurisdictions, but was referenced in the report (along with approximately 40 other jurisdictions) as having committed to address concerns relating to economic substance by December 31, 2018. In accordance with that commitment, Bermuda enacted the Economic Substance Act 2018 (as amended) of Bermuda and its related regulations (together, the “ES Act”). The ES Act came into force on January 1, 2019, and provides that a registered entity other than an entity which is resident for tax purposes in certain jurisdictions outside Bermuda (“non-resident entity”) that carries on as a business any one or more of the “relevant activities” referred to in the ES Act must comply with economic substance requirements. The list of “relevant activities” includes carrying on any one or more of the following activities: banking, insurance, fund management, financing, leasing, headquarters, shipping, distribution and service center, intellectual property and holding entities. Under the ES Act, if a company is engaged in one or more “relevant activities”, it is required to maintain a substantial economic presence in Bermuda and to comply with the economic substance requirements set forth in the ES Act. A company will comply with those economic substance requirements if it: (a) is managed and directed in Bermuda; (b) undertakes “core income generating activities” (as may be prescribed under the ES Act) in Bermuda in respect of the relevant activity; (c) maintains adequate physical presence in Bermuda; (d) has adequate full time employees in Bermuda with suitable qualifications; and (e) incurs adequate operating expenditure in Bermuda in relation to the relevant activity undertaken by it.
Companies that are licensed to and carry on insurance as a relevant activity are generally considered to operate in Bermuda with adequate substance, with respect to their insurance business, if they comply with the existing provisions of (a) the Companies Act 1981 relating to corporate governance; and (b) the Insurance Act 1978, that are applicable to the economic substance requirements, and the Registrar will have regard to such companies’ compliance with the Insurance Act 1978 (in addition to compliance with the Companies Act 1981) in his assessment of compliance with the economic substance requirements. That being said, such companies are still required to complete and file a Declaration Form, with the Bermuda Registrar of Companies and the Registrar will also have regard to the information provided in that Declaration Form in making his assessment of compliance with the ES Act.

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United States
General. Our U.S. based insurance operating subsidiaries are subject to extensive governmental regulation and supervision by the states and jurisdictions in which they are domiciled, licensed and/or approved to conduct business. The insurance laws and regulations of the state of domicile have the most significant impact on operations. We currently have U.S. insurance and/or reinsurance subsidiaries domiciled in Delaware, North Carolina, Missouri, Wisconsin, Kansas and Wisconsin.the District of Columbia and we may acquire insurers domiciled in other states in the future. State insurance regulation and supervision is designed to protect policyholders rather than investors. Generally, state regulatory authorities have broad regulatory powers over such matters as licenses, standards of solvency, premium rates, policy forms, marketing practices, claims practices, investments, security deposits, restrictions on size of risks that may be insured under a single policy, methods of accounting, form and content of financial statements, certain aspects of governance, enterprise risk management,ERM, amounts we are required to hold as reserves and provisions for unearned premiums, unpaid losses and loss adjustment expenses, reinsurance,future payments, minimum capital and surplus requirements, dividends and other distributions to shareholders, periodic examinations, annual and other report filings and transactions among affiliates. Our U.S. based subsidiaries are required to file detailed quarterly and audited annual statutory financial statements with state insurance regulators in each of the states in which they conduct business andregulators. In addition, regulatory authorities conduct periodic financial, claims and market conduct examinations. The ability of an insurer to pay dividends or make other distributions is subject toCertain insurance regulatory limitations of
the insurer’s state of domicile. Such laws generally limit the payment of dividends or other distributions above a specified level. Dividends or other distributions in excess of such thresholdsrequirements are “extraordinary” and are subject to prior regulatory approval.
highlighted below. In addition to the regulatory requirements imposed by the jurisdictions in which they are domiciled, licensed and/or approvedregulation applicable generally to conduct business,U.S. insurance and reinsurance companies, our U.S. mortgage insurance operations are affected by federal and state regulation relating to mortgage insurers, mortgage lenders, and the origination, purchase and sale of residential mortgages, and Arch Re U.S. and Arch Re Bermuda are indirectly subject to certain regulatory requirements in various states of the U.S. governing “credit for reinsurance” that are imposed by jurisdictions in which ceding companies are domiciled.
Arch Re U.S. is licensed or is an accredited or otherwise approved reinsurer in 50 states, the District of Columbia and Puerto Rico. Arch MI U.S. has approved premium rates for credit union and mortgage banking originated mortgage loans in all 50 states.mortgages. Arch Insurance Company Europe(U.K.) is also subject to certain governmental regulation and supervision in the states where it writes excess and surplus lines insurance. Arch Re Bermuda is approved in 27 states to post reduced collateral and is a designated as a “certified reinsurer” in those U.S. states.
Holding Company Acts.Regulation. All states have enacted legislation that regulates insurance holding company systems. These regulations generally provide that each insurance company in the system is required to register with the insurance department of its state of domicile and furnish information concerning the operations of companies within the holding company system which may materially affect the operations, management or financial condition of the insurers within the system. Notice to the state insurance departments is required prior to the consummation of certain material transactions between an insurer and any entity in its holding company system. In addition,system and certain of such transactions cannotmay not be consummated without the applicable insurance department’s prior approval or its failure to disapprovenon-disapproval after receiving notice. The holding company acts also prohibit any person from directly or indirectly acquiring control of a U.S. insurance or reinsurance company unless that person has filed an application with specified information with such company’s domiciliary commissioner and has obtained the commissioner’s prior approval. Under most states’ statutes
acquiring 10% or more of the voting securities of an insurance company or its parent company is presumptively considered an acquisition of control of the insurance company, although such presumption may be rebutted. The U.S. National Association of Insurance Commissioners (“NAIC”) has adopted amendments to the Insurance Holding Company System Regulatory Act and Regulation, which, among other changes, introduce the concept of “enterprise risk” within an insurance
State holding company system. When the amendments are adopted by a particular state,


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the amended Insurance Holding Company System Regulatory Actacts and Regulationregulations also impose more extensive informational requirements on parents and other affiliates of licensed insurers or reinsurers with the purpose of protecting them from enterprise risk, including requiring an annual enterprise risk report by the ultimate controlling person identifying the material risks within the insurance holding company system that could pose enterprise risk to the licensed companies and requiring a person divesting its controlling interest to make a confidential advance notice filing.
In December 2020, the National Association of Insurance Commissioners (“NAIC”) adopted amendments to the NAIC Insurance Holding Company System Model Act and Model Regulation that, when adopted by states, will require the ultimate controlling person of an insurance holding company system to file an annual group capital calculation, unless the ultimate controlling person or its insurance holding company system is exempt from the filing requirement. The group capital calculation is designed to assist state insurance regulators in understanding the financial condition of non-insurance entities that are part of an insurance holding company system and the degree to which insurance companies are supporting those non-insurance entities.
Regulation of Dividends and Other Payments from Insurance Subsidiaries. The ability of an insurer to pay dividends or make other distributions is subject to insurance regulatory limitations of the insurer’s state of domicile. Such laws generally limit the payment of dividends or other distributions above a specified level. Dividends or other distributions in excess of such thresholds are “extraordinary” and are subject to prior notice and approval, or non-disapproval after receiving notice. In April 2015, the GSEs published comprehensive, revised requirements, known as the Private Mortgage Insurer Eligibility Requirements or “PMIERs.” Arch MI U.S.’ ability to pay dividends is subject to prior notification and approval through June 30, 2021, pursuant to the PMIERs guidance related to COVID-19.
Credit for Reinsurance. Arch Re U.S. is subject to insurance regulation and supervision that is similar to the regulation of licensed primary insurers. However, except for certain mandated provisions that must be included in order for a ceding company to obtain credit for reinsurance ceded, the terms and conditions of reinsurance agreements generally are not subject to regulation by any governmental authority.
A primary insurer ordinarily will enter into a reinsurance agreement to obtain credit for the reinsurance ceded on its U.S. statutory-basis financial statements. As a result of the

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requirements relating to the provision of credit for reinsurance, Arch Re U.S. and Arch Re Bermuda are indirectly subject to certain regulatory requirements imposed by jurisdictions in which ceding companies are domiciled.
In general, credit for reinsurance is allowed if the reinsurer is licensed or “accredited” in the state in which the primary insurer is domiciled; or if none of the above applies, to the extent that the reinsurance obligations of the reinsurer are collateralized appropriately, typically through the posting of a letter of credit for the benefit of the primary insurer or the deposit of assets into a trust fund established for the benefit of the primary insurer. Most states have adopted provisions of the NAIC Credit for Reinsurance Model Law and Regulation that allow full credit to U.S. ceding insurers for reinsurance ceded to reinsurers that have been approved as “certified reinsurers” based upon less than 100% collateralization. As of February 2, 2021 Arch Re Bermuda is approved as a “certified reinsurer” in 39 states.
In April 2018, the U.S. and the EU entered into the Bilateral Agreement between the United States of America and the European Union on Prudential Matters Regarding Insurance and Reinsurance (the “EU-US Covered Agreement”) that, among other things, would eliminate reinsurance collateral requirements for qualified U.S. reinsurers operating in the EU insurance market, and eliminate reinsurance collateral requirements under U.S. state insurance law for qualified reinsurers having their head office or domiciled in an EU member state. In December 2018, the U.S. Secretary of the Treasury and the U.S. Trade Representative announced that they had reached agreement with the U.K. on a covered agreement (“U.K. Covered Agreement”) with terms nearly identical to the EU Covered Agreement for insurers and reinsurers operating in the U.K. In 2019, the NAIC adopted amendments to the Credit for Reinsurance Model Law and Regulation that would implement the EU-US Covered Agreement and the U.K. Covered Agreement and eliminate reinsurance collateral requirements for qualified reinsurers having their head office or domiciled in other jurisdictions deemed “Reciprocal Jurisdictions” by the NAIC (although individual states may reject a Reciprocal Jurisdiction designation). The NAIC list of Reciprocal Jurisdictions includes Bermuda, Japan and Switzerland. As of February 23, 2021, the NAIC reports that eighteen states have adopted the 2019 amendments to the Credit for Reinsurance Model Law with an additional 18 considering amendments.
Risk Management and ORSA. In 2012, theThe NAIC adopted the Risk Management and Own Risk and Solvency Assessment (“ORSA”) Model Act which requires domestic insurers to maintain a risk management framework and establishes a legal requirement for domestic insurers to conduct an ORSA in accordance with the NAIC’s ORSA Guidance Manual. The (“ORSA Model ActAct”) provides that domestic insurers, or their insurance group, must regularly conduct an ORSA consistent with a process comparable to the ORSA Guidance Manual process. The ORSA Model Act also provides that, no more than once a year, an insurer’s domiciliary regulator may request that an insurer submit an ORSA summary report, or
any combination of reports that together contain the information described in the ORSA Guidance Manual, with respect to the insurer and/or the insurance group of which it is a member. If and when the ORSA Model Act is adopted by an individual state, the stateStates may impose additional internal review and regulatory filing requirements on licensed insurers and their parent companies. Nearly all states have enacted the ORSA Model Act or substantially similar legislation.
Cybersecurity and Privacy. The NAIC has adopted an Insurance Data Security Model Law, which, when adopted by the states, will require insurers, insurance producers and other entities required to be licensed under state insurance laws to comply with certain requirements under state insurance laws, such as developing and maintaining a written information security program, conducting risk assessments and overseeing the data security practices of third-party vendors. A number of states have already adopted versions of this model law, with more expected to follow. In addition, certain state insurance regulators are developing or have developed regulations that may impose regulatory requirements relating to cybersecurity on insurance and reinsurance companies (potentially including insurance and reinsurance companies that are not domiciled, but are licensed, in the relevant state). For example,Privacy legislation and regulation has also become an issue of increasing focus of the New York State Departmentfederal government and in many states. In addition, California Consumer Privacy Act of Financial Services has adopted2018 (“CCPA”), which also applies to us, came into effect on January 1, 2020, and grants California consumers certain rights to, among other things, access and delete data about them subject to certain exceptions, as well as a regulation pertainingprivate right of action related to cybersecurity breaches with statutory penalties. Additionally, a California ballot initiative known as the California Privacy Rights Act of 2020 (“CPRA”) passed as part of the November 2020 ballot and will become fully effective on January 1, 2023. The CPRA will apply to us and will substantially amend the CCPA, providing for all bankingadditional consumer privacy rights, additional regulatory obligations, and creating a new privacy focused California regulatory agency with enforcement authority. A range of new cybersecurity and privacy laws are also under consideration in other states, as well as by the federal government.
Risk-Based Capital Requirements. Licensed U.S. property and casualty insurance entities under its jurisdiction, effective as of March 1, 2017, which appliesand reinsurance companies are subject to us. We cannot predict the impact these laws and regulations will have on our business, financial condition or results of operations, but we could incur additional costs resulting from compliance with such laws and regulations.
The NAIC has adopted risk-based capital requirements that are designed to assess capital adequacy and to raise the level of protection that statutory surplus provides for policyholder obligations. The risk-based capital model for property and casualty insurance companies which measuremeasures three major areas of risk facing property and casualty insurers:
underwriting, which encompasses the risk of adverse loss developments and inadequate pricing; declines in asset values arising from credit risk; and declines in asset values arising from investment risks. An insurer will be subject to varying degrees of regulatory action depending on how its statutory surplus compares to its risk-based capital

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calculation. Under the approved formula, an insurer’s total adjusted capital is compared to its authorized control level risk-based capital. If this ratio is above a minimum threshold, no company or regulatory action is necessary. Below this threshold are four distinct action levels at which an insurer’s domiciliary state regulator can intervene with increasing degrees of authority over an insurer as the ratio of surplus to risk-based capital requirement decreases. The mildest regulatory action requires an insurer to submit a plan for corrective action; the most severe requires an insurer to be rehabilitated or liquidated.
Our mortgage insurance operations are not currently subject to state risk-based capital requirements, but rather isare subject to state risk to capital or minimum policyholder position requirements. The NAIC has established a Mortgage Guaranty Insurance Working Group which is engaged in developing changes to the Mortgage Guaranty Insurers Model Act, including the development of a risk based capital model unique to mortgage guaranty insurers.
Guaranty Funds. Most states require all admitted insurance companies to participate in their respective guaranty funds which cover certain claims against insolvent insurers. Solvent insurers licensed in these states are required to cover the losses paid on behalf of insolvent insurers by the guaranty funds and are generally subject to annual assessments in the states by the guaranty funds to cover these losses. Mortgage guaranty insurance, among other lines of business, is typically exempt from participation in guaranty funds.
Federal Regulation. Although state regulation is the dominant form of regulation for insurance and reinsurance business, a number of federal laws affect and apply to the insurance industry generally is not directly regulated by the federal government, federal legislation and initiatives can affect the industry and our business.industry. The Dodd-Frank Wall Street Reform and Consumer Protection Act of 2010 (“Dodd-Frank”) created the Federal Insurance Office (“FIO”) within the Department of Treasury. FIO has limited authority and serves to collect information and report on the businessTreasury, which is not a federal regulator or supervisor of insurance, but monitors the insurance industry for systemic risk, administers the Terrorism Risk Insurance Program (“TRIP”), consults with the states regarding insurance matters and develops federal policy on aspects of international insurance matters. See “Risk Factors—Risks Relating to Congress.Our Industry, Business and Operations—We could face unanticipated losses from war, terrorism, cyber-attacks, pandemics and political instability, and these or other unanticipated losses could have a material adverse effect on our financial condition and results of operations” for more information on TRIP. In addition, Dodd-Frank containedFIO is authorized to assist the NRRA, which attempts to coordinateU.S. Secretary of the payment of surplus lines taxes, simplifiesTreasury in negotiating “covered agreements” between the granting of alien insurers to become surplus lines authorizedU.S. and coordinates the credit for certain reinsurance. one or more foreign governments or regulatory authorities that address insurance prudential measures.
Certain other federal laws also directly or indirectly impact mortgage insurers, including the Real Estate Settlement
Procedures Act of 1974 (“RESPA”), the Homeowners Protection Act of 1998 (“HOPA”), the Equal Credit Opportunity Act, the Fair Housing Act, the Truth In Lending Act (“TILA”), the Fair Credit Reporting Act of 1970 (“FCRA”), and the Fair Debt Collection Practices Act. Among other things, these laws and their implementing regulations prohibit payments for referrals of settlement service business, require fairness and non-discrimination in granting or facilitating the granting of credit, govern the circumstances under which companies may obtain and use consumer credit information, define the manner in which companies may pursue collection activities, and require disclosures of the cost of credit and provide for other consumer protections.
GSE Eligible Mortgage Insurer Requirements. GSEs impose requirements on private mortgage insurers so that they may be eligible to insure loans sold to the GSEs. Effective December


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31, 2015, the GSEs, published comprehensive, revised requirements, known as the Private Mortgage Insurer Eligibility Requirements or “PMIERs.”PMIERs. The PMIERs apply to our eligible mortgage insurers, but do not apply to Arch Mortgage Guaranty Company, which is not GSE-approved. The PMIERs impose limitations on the type of risk insured, the forms and insurance policies issued, standards for the geographic and customer diversification of risk, procedures for claims handling, acceptable underwriting practices, standards for certain reinsurance cessions and financial requirements, among other things. The financial requirements require an eligible mortgage insurer’s available assets, which generally include only the most liquid assets of an insurer, to meet or exceed “minimum required assets” as of each quarter end. Minimum required assets are calculated from PMIERs tables with several risk dimensions (including origination year, original loan-to-value, and original credit score of performing loans, and the delinquency status of non-performing loans). Our eligible mortgage insurers satisfied the PMIERs’ financial requirements as of December 31, 2017.2020.
Canada
Arch Insurance Canada and Arch Re Canada are subject to federal, as well as provincial and territorial, regulation in Canada in the provinces and territories in which they underwrite insurance/reinsurance. The Office of the Superintendent of Financial Institutions (“OSFI”) is the federal regulatory body that, under the Insurance Companies Act (Canada), prudentially regulates federal Canadian and non-Canadian insurance and reinsurance companies operating in Canada. Arch Insurance Canada is licensed to carry on insurance business by OSFI and in each province and territory. Arch Re Canada is licensed tocarry on reinsurance business by OSFI and in the provinces of Ontario and Quebec.
Under the Insurance Companies Act (Canada), Arch Insurance Canada is required to maintain an adequate amount of capital in Canada, calculated in accordance with a test

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promulgated by OSFI called the Minimum Capital Test, and Arch Re Canada is required to maintain an adequate margin of assets over liabilities in Canada, calculated in accordance with a test promulgated by OSFI called the Branch Adequacy of Assets Test. OSFI has implemented a risk-based methodology for assessing insurance/reinsurance companies operating in Canada known as its “Supervisory Framework.” In conjunction withapplying the acquisitionSupervisory Framework, OSFI considers the inherent risks of UGCthe business and the relatedquality of risk management for each significant activity of each operating entity. Under the Insurance Companies Act (Canada), approval of the changeMinister of Finance (Canada) is required in connection with certain acquisitions of shares of, or control of, Canadian insurance companies such as Arch Insurance Canada, and notice to and/or approval of OSFI is required in connection with the payment of dividends by the GSEs, the GSEs imposed additional requirements on our eligible mortgage insurers, including maintaining capital in excessor redemption of PMIERs requirements on a consolidated basis and requiring notifications relating to certain integration activities.shares by Canadian insurance companies such as Arch Insurance Canada.
United Kingdom
General. The Prudential Regulation Authority (“PRA”) and the Financial Conduct Authority (“FCA”) regulate insurance and reinsurance companies and the FCA regulates firms carrying on insurance mediation activities operating in the U.K. both under the Financial Services and Markets Act 2000 (the “FSMA”). In May 2004, Arch Insurance Company Europe(U.K.) was granted the relevant permissions for the classes of insurance business which it underwrites in the U.K. In 2009, AUAL was licensedAMAL currently manages Arch Syndicate 2012 and authorizedArch Syndicate 1955 pursuant to its authorizations by the relevant U.K. regulator and the Lloyd’s Franchise Board and holds the relevant permissions for the classes of insurance business which are underwritten in the U.K. by Arch Syndicate 2012. Arch Syndicate 2012 has one member, Arch Syndicate Investments Ltd. (“ASIL”).Board. All U.K. companies are also subject to a range of statutory provisions, including the laws and regulations of the Companies Act 2006 (as amended) (the “U.K. Companies Act”).
The objectives of the PRA are to promote the safety and soundness of all firms it supervises and to secure an appropriate degree of protection for policyholders. The objectives of the FCA are to ensure customers receive financial services and products that meet their needs, to promote sound financial systems and markets and to ensure that firms are stable and resilient with transparent pricing information and which compete effectively and have the interests of their customers and the integrity of the market at the heart of how they run their business. The PRA has responsibility for the prudential regulation of banks and insurers, while the FCA has
responsibility for the conduct of business regulation in the wholesale and retail markets. The PRA and the FCA adopt separate methods of assessing regulated firms on a periodic basis. Arch Insurance Europe(U.K.) and AUALAMAL are subject to periodic assessment by the PRA along with all regulated firms. Arch Insurance Company Europe(U.K.) and AUALAMAL are subject to regulation by both the PRA and FCA. Castel is authorized and regulated by the FCA and is subject to periodic assessment and review by the FCA.
Lloyd’s Supervision. The operations of AUAL and relatedAMAL (as managing agent of Arch Syndicate 2012 and itsArch Syndicate 1955) and each syndicate’s respective corporate member, ASIL,members, are subject to the byelaws and regulations made by (or on behalf of) the Council of Lloyd’s, and requirements made under those byelaws. The Council of Lloyd’s, established in 1982 by Lloyd’s Act 1982, has overall responsibility and control of Lloyd’s. Those byelaws, regulations and requirements provide a framework for the regulation of the Lloyd’s market, including specifying conditions in relation to underwriting and claims operations of Lloyd’s participants. Lloyd’s is also subject to the provisions of the FSMA. Lloyd's is authorized by the PRA and regulated by the PRA and FCA. Those entities acting within the Lloyd’s market are required to comply with the requirements of the FSMA and provisions of the PRA’s or FCA's rules, although the PRA has delegated certain of its powers, including some of those relating to prudential requirements, to Lloyd’s. ASIL, as aEach corporate member of Lloyd’s is required to contribute 0.5%a percentage of Arch Syndicate 2012’sthe member’s premium income limit for each year of account to the Lloyd’s central fund. The Lloyd’s central fund is available if members of Lloyd’s assets are not sufficient to meet claims for which the member is liable. As aEach corporate member of Lloyd’s, ASIL may also be required to contribute to the central fund by way of a supplement to a callable layer of up to 3% of Arch Syndicate 2012’sthe corresponding member’s premium income limit for the relevant year of account. In addition, AUAL, on behalf of Arch Syndicate 2012, is approved to underwrite excess and surplus lines insurance in most states in the U.S. through Lloyd’s licenses. Such activities must be in compliance with the Lloyd’s requirements.
Financial Resources. A newThe European solvency framework and prudential regime for insurers and reinsurers, under the Solvency II Directive 2009/138/EC (“Solvency II”), took effect in full on January 1, 2016. See “European Union Insurance and Reinsurance Regulation—Union—Insurance and Reinsurance Regulatory Regime” below for additional details.
Arch Insurance Company Europe(U.K.), and AUAL (on behalfthe corporate members of Arch Syndicate 2012)2012 and Arch Syndicate 1955 are currently required to meet economic risk-based solvency requirements imposed under Solvency II. Solvency II, together with European Commission “delegated acts” and guidance issued by the European Insurance and Occupational Pensions Authority (“EIOPA”) sets out classification and eligibility requirements, including the features which capital must display in order to qualify as regulatory capital. Currently, the European Commission is undertaking a review of Solvency II to ensure that the regime remains fit for purpose of calling upon EIOPA to provide technical advice with EIOPA publishing its Opinion on December 17, 2020. The European Commission’s proposal on the review is expected in the 2021 third quarter.
On January 31, 2020, the U.K. withdrew from the EU with the terms of Brexit set forth in the Withdrawal Agreement agreed by the U.K. Parliament and the EU Parliament. At the expiration of the transition period from January 31, 2020 until December 31, 2020 (the “Transition Period”), during

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which time the U.K. remained in the EU customs union and single market, the European Union (Withdrawal) Act 2018, as amended, has transposed all applicable direct EU legislation into domestic U.K. law, thus ensuring the continuing application of Solvency II under the U.K.’s financial services regulatory regime.
In June 2020, the U.K. government revealed plans to review Solvency II to ensure that it is properly tailored to take account the structural features of the U.K. insurance sector, with HM Treasury publishing a ‘Call for Evidence’ in October 2020, outlining the motives behind the review and inviting feedback on various areas, including, amongst others, the standard formula for capital requirements, the risk margin, the matching adjustment and reporting requirements. The results of the review are not expected to be published until later in 2021.
Financial Services Compensation Scheme. The Financial Services Compensation Scheme (“FSCS”) is a scheme


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established under FSMA to compensate eligible policyholders of insurance companies who may become insolvent. The FSCS is funded by the levies that it has the power to impose on all insurers. Arch Insurance Europe(U.K.) could be required to pay levies to the FSCS.
Restrictions on Acquisition of Control. Under FSMA, the prior consent of the PRA or FCA, as applicable, is required, before any person can become a controller or increase its control over any regulated company, including Arch Insurance Company Europe and AUAL,(U.K.), or over the parent undertaking of any regulated company. Therefore, the PRA's or FCA's prior consent, as applicable, is required before any person can become a controller of Arch Capital. Prior consent is also required from Lloyd’s before any person can become a controller or increase its control over a corporate member or a managing agent or a parent undertaking of a corporate member or managing agent. A controller is defined for these purposes as a person who holds (either alone or in concert with others) 10% or more of the shares or voting power in the relevant company or its parent undertaking.
Restrictions on Payment of Dividends. Under English law, all companies are restricted from declaring a dividend to their shareholders unless they have “profits available for distribution.” The calculation as to whether a company has sufficient profits is based on its accumulated realized profits minus its accumulated realized losses. U.K. insurance regulatory laws do not prohibit the payment of dividends, but the PRA or FCA, as applicable, requires that insurance companies, and insurance intermediaries and other regulated entities maintain certain solvency margins and may restrict the payment of a dividend by Arch Insurance Company Europe, AUAL(U.K.), AMAL or ASIL.Castel, for example.
European Union Considerations. Through their respective authorizationsDuring the Transition Period, there was no change in the U.K., a Member State of the European Union (“EU”), Arch Insurance Company Europe’s and AUAL’s authorizations are recognized throughout the European Economic Area (“EEA”), subject only to certain notification and application requirements. This authorization enables Arch Insurance Company Europe and AUAL to exercise “passporting” rights which allows Arch Insurance Company Europe and AUAL to establish a branch in any other Member State of the EU, where such entity will be subject to the insurance regulations of each such Member State with respect to the conduct of its business in such Member State, but remain subject only to the financial and operational supervision by the PRA or FCA (as applicable). The conditions for the establishment of branches in Member States of the EU are set out in Solvency II. Arch Insurance Company Europe currently has branches in Germany, Italy, Spain and Denmark and may establish branches in other Member States of the EU in the future. Further, through its passporting rights, Arch Insurance Company Europe and AUAL have the freedom to provide insurance services anywhere in the EEA subject to compliance
with certain rules governing such provision, including notification to the PRA or FCA, as applicable.
Following the referendum in June 2016 in which a majority of voting U.K. citizens voted in favor of the U.K. leaving the EU (“Brexit”), the U.K. withdrawal from the EU will lead to a loss of passporting rights for financial institutions in the U.K. Under our Brexit plan, since January 2020 nearly all of the EEA insurance business of Arch Insurance (U.K.) has been conducted by Arch Insurance (EU). As part of our Brexit planning, and in advance of the Transition Period expiring, a transfer of the EEA legacy business (excluding inwards reinsurance) from Arch Insurance (U.K.) to Arch Insurance (EU) was completed under Part VII of the U.K. Financial Services and Market Act 2000 at the end of December 2020 (“Part VII Transfer”).
The U.K. government established a Temporary Permissions Regime (“TPR”) which came into force with effect from January 1, 2021, which allows EEA firms such as Arch Re Europe and Arch Insurance (EU), exceptcovered by a passport prior to that date, who wish to continue carrying out business in the U.K. in the longer term, to operate in the U.K. for a limited period while they seek authorization or recognition from the U.K. regulators. However, no TPR-equivalent regime is in place for U.K. firms who wish to continue carrying out business in the EEA.In the absence of a TPR-equivalent regime for U.K. firms, the ability of U.K. firms (including, Arch Insurance (U.K.), AMAL and Castel) to continue doing business in the EEA depends on applicable EEA state local law and regulation. Similarly, there has been no decision yet made by the European Commission on whether or not the U.K.’s financial services regulatory regime will be granted third-country equivalence for the purposes of reinsurance, solvency calculation and/or group supervision under Solvency II. In the absence of such declarations, EEA firms (and their respective groups) carrying out business with U.K. firms will be subject to a stricter, more complex, set of regulatory and supervisory requirements. U.K. firms will also be subject to more stringent requirements in carrying out reinsurance business with EEA firms.
The long-term implications of Brexit on the Solvency II framework in the U.K. remain uncertain in relation to the extentarrangements that any aspect ofwill allow U.K. and EU-established firms to continue to effectively transact business with each other and how the regime is preserved in a separate agreementfuture relationship between the EU and the U.K.two parties will adversely affected regulated entities. See “Risk Factors—Risks RelatedRelating to Our Industry—Industry, Business and Operations—The United Kingdom’s referendum vote in favor of leavingU.K.’s Withdrawal from the EU could adversely affect us.”
Canada
Arch Insurance CanadaOn December 24, 2020, the EU and Arch Re Canada are subject to federal, as well as provincial and territorial, regulation in Canada in the provinces and territories inU.K. agreed the EU-UK Trade Cooperation Agreement (the “TCA”) which they underwrite insurance/reinsurance. The Officedetails the terms of the Superintendentfuture cooperation between the U.K. and the EU. The TCA was signed by both the EU and U.K. on December 30, 2020, with a provisional effective date of Financial Institutions (“OSFI”) isJanuary 1, 2021. The TCA does not preserve the federal regulatory body that,status of financial services and as a result, under the Insurance Companies Act (Canada), prudentially regulates federal Canadian and non-Canadian insurance and reinsurance companies operating in Canada. Arch Insurance Canada is licensed to carry on insurance business by OSFI and in each province and territory. Arch Re Canada is licensed to carry on reinsurance business by OSFI and in the provinces of Ontario and Quebec.
Under the Insurance Companies Act (Canada), Arch Insurance Canada is required to maintain an adequate amount of capital in Canada, calculated in accordance with a test promulgated by OSFI called the Minimum Capital Test, and Arch Re Canada is required to maintain an adequate margin of assets over liabilities in Canada, calculated in accordance with a test promulgated by OSFI called the Branch Adequacy of Assets Test. OSFI has implemented a risk-based methodology for assessing insurance/reinsurance companies operating in Canada known as its “Supervisory Framework.” In applying the Supervisory Framework, OSFI considers the inherent risksprovisions of the businessTCA, EEA financial institutions (including our Irish

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Table of Contents
operating subsidiaries) have lost their passporting rights into the U.K. Absent any future agreement between the U.K. and the qualityEU on the provision of risk management for each significant activityfinancial services by U.K. financial institutions into the EU, the post-Brexit status and rules applicable to U.K. branches of each operating entity. UnderEEA financial institutions will be primarily driven by U.K. law and regulation. See “Risk Factors—Risks Relating to Our Industry, Business and Operations—The U.K.’s Withdrawal from the Insurance Companies Act (Canada), approval of the Minister of Finance (Canada) is required in connection with certain acquisitions of shares of, or control of, Canadian insurance companies such as Arch Insurance Canada, and notice to and/or approval of OSFI is required in connection with the payment of dividends by or redemption of shares by Canadian insurance companies such as Arch Insurance Canada.EU could adversely affect us.”
Ireland
General. The Central Bank of Ireland (“CBOI”)CBOI regulates insurance and reinsurance companies and intermediaries authorized in Ireland. Our three Irish operating subsidiaries are Arch Re Europe, Arch MI EuropeInsurance (EU) and Arch Underwriters Europe. Arch Re Europe was licensed and authorized by the


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CBOI as a non-life reinsurer in October 2008 and as a life reinsurer in November 2009. Arch MI EuropeInsurance (EU) was licensed and authorized by the CBOI as a non-life insurer in December 2011. As part of our Brexit plan, Arch Insurance (EU) received approval from the CBOI to expand the nature of its business in 2019 commenced writing expanded insurance lines in the EEA in 2020, and the Part VII Transfer was completed at the end of December 2020. Arch Underwriters Europe was registered by the CBOI as an insurance and reinsurance intermediary in July 2014. Arch Re Europe, Arch MI EuropeInsurance (EU) and Arch Underwriters Europe are subject to the supervision of the CBOI and must comply with Irish insurance acts and regulations as well as with directions and guidance issued by the CBOI.
Arch Re Europe and Arch MI EuropeInsurance (EU) are required to comply with Solvency II requirements. See “European Union Insurance and Reinsurance Regulation—Insurance—Insurance and Reinsurance Regulatory Regime” below for additional details. As an intermediary, Arch Underwriters Europe is subject to a different regulatory regime and is not subject to solvency capital rules, but must comply with requirements such as to maintain professional indemnity insurance and to have directors that are fit and proper. Our Irish subsidiaries are also subject to the general body of Irish company laws and regulations including the provisions of the Companies Act 2014.
Financial Resources. Arch Re Europe and Arch MI EuropeInsurance (EU) are required to meet economic risk-based solvency requirements imposed under Solvency II. Solvency II, together with European Commission “delegated acts” and guidance issued by EIOPA sets out classification and eligibility requirements, including the features which capital must display in order to qualify as regulatory capital.
Restrictions on Acquisitions. Under Irish law, the prior consent of the CBOI is required before any person can acquire or increase a qualifying holding in an Irish insurer or reinsurer, including Arch MI EuropeInsurance (EU) and Arch Re
Europe, or their parent undertakings. A qualifying holding is defined for these purposes as a direct or indirect holding that represents 10% or more of the capital of, or voting rights, in the undertaking or makes it possible to exercise a significant influence over the management of the undertaking.
Restrictions on Payment of Dividends. Under Irish company law, Arch Re Europe, Arch MI EuropeInsurance (EU) and Arch Underwriters Europe are permitted to make distributions only out of profits available for distribution. A company’s profits available for distribution are its accumulated, realized profits, so far as not previously utilized by distribution or capitalization, less its accumulated, realized losses, so far as not previously written off in a reduction or reorganization of capital duly made. Further, the CBOI has powers to intervene if a dividend payment were to lead to a breach of regulatory capital requirements.
In response to the COVID-19 pandemic, EIOPA issued a statement in April 2020 urging (re)insurers to temporarily suspend all discretionary dividend distributions and share buy backs aimed at remunerating shareholders, and recommended a similar prudent approach should be applied to variable remuneration policies. In December 2020, EIOPA reiterated, in light of its previous statement in April 2020, the importance of extreme caution and prudence in relation to insurance firm's capital management.
On the basis of EIOPA's statement, the CBOI issued guidance in April 2020 that insurance firms postpone any payment of dividend distributions or similar transactions until they can forecast their costs and future revenues with a greater degree of certainty. The CBOI's position is that if the board of an insurance firm forms the view that a high level of certainty has been reached and wishes to make a distribution, the CBOI expects the firm to engage with their local supervision team before proceeding with the distribution, demonstrating satisfactory forward looking solvency, liquidity and operational resilience positions in light of the current environment. Additionally, the CBOI advised in the same guidance that insurance firms are expected to exercise similar prudence in respect of any variable remuneration policies and should consider whether the postponement of any payments under such variable remuneration policies would be appropriate in light of the current environment. In February 2021, the CBOI reiterated its expectations in relation to distributions by insurance firms, confirming that between January 1, 2021 and at least until September 30, 2021, it expects that total dividends, share buy-backs and variable remuneration for material risk-takers of significant insurance firms should not result in a reduction in solvency ratio of more than 15 percentage points from the pre-distribution solvency ratio, and overall distributions should be significantly lower than in years prior to the COVID-19 pandemic.

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European Union Considerations. As Arch Re Europe, Arch MI EuropeInsurance (EU) and Arch Underwriters Europe are authorized by the CBOI in Ireland, a Member State of the EU, those authorizations are recognized throughout the EEA. Subject only to certain notification and application requirements, Arch Re Europe,
Arch MI EuropeInsurance (EU) and Arch Underwriters Europe can provide services, or establish a branch, in any other Member State of the EEA. Although, in doing so, they may be subject to the laws of such Member States with respect to the conduct of business in such Member State, company law registrations and other matters, they will remain subject to financial and operational supervision by the CBOI only. Arch Insurance (EU) has branches in the following EU countries: Italy and Denmark.Arch Insurance (EU) also has a branch outside of the EU in the U.K. Arch Re Accident & HealthUnderwriting ApS in Denmark (“Arch Re Denmark”) is an underwriting agency underwriting accident and health business for Arch Re Europe in Denmark. Arch Re Europe also has a branch in the U.K., which underwrites non-lifeand other reinsurance riskbusiness for Arch Re Europe. Arch Re Europe also has a branchtwo branches outside the EEA, Arch Reinsurance Europe Designated Activity Company, Dublin (Ireland), Zurich BranchEU in the U.K. and in Switzerland (“Arch Re Europe Swiss Branch”).
As partFrom January 1, 2021, under the provisions of its application for registration, Arch Underwriters Europe requested the CBOI to make the necessary notifications to permit it to provide insurance and reinsurance intermediary services in all EEA Member States. Arch Underwriters Europe currently has branches in the following EU countries: the U.K., Italy, Finland and Cyprus.
Following Brexit, the U.K.'s withdrawal from the EU will lead to a loss ofTCA our Irish regulated entities have lost their passporting rights for EEA financial institutions (including our Irish operating subsidiaries) into the U.K., except to the extent that any aspect of the regime is preserved in a separate agreement between the EU and the U.K. Absent such agreement, the post-Brexit status and rules applicable to U.K. branches of EEA financial institutions will be primarily driven by U.K. law and regulation. See “Risks“Risk Factors—Risks Relating to Our Industry, —The United Kingdom’s referendum vote in favor of leavingBusiness and Operations—The U.K.’s Withdrawal from the EU could adversely affect us.”
Switzerland
In December 2008, Arch Re Europe opened Arch Re Europe Swiss Branch as a branch office. As Arch Re Europe is domiciled outside of Switzerland and its activities are limited to reinsurance, the Arch Re Europe Swiss Branch in Switzerland is not required to be licensed by the Swiss insurance regulatory authorities.
In August 2014, Arch Underwriters Europe opened a branch office in Zurich (“Arch Underwriters Europe Swiss Branch”) to render reinsurance advisory services to certain group companies. Arch Underwriters Europe Swiss Branch is registered with the commercial register of the Canton of Zurich. Since its activities are limited to advisory services for reinsurance matters, the Arch Underwriters Europe Swiss Branch is not required to be licensed by the Swiss insurance regulatory authorities.
European Union
Insurance and Reinsurance Regulatory Regime. Solvency II took effect in full on January 1, 2016. Solvency II imposes


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economic risk-based solvency requirements across all EU Member States and consists of three pillars: Pillar I-quantitative capital requirements, based on a valuation of the entire balance sheet; Pillar II-qualitative regulatory review, which includes governance, internal controls, enterprise risk management and supervisory review process; and Pillar III-market discipline, which is accomplished through reporting of the insurer’s financial condition to regulators and the public. Solvency II is supplemented by European Commission Delegated Regulation (EU) 2015/35 (the “Delegated Regulation”), other European Commission “delegated acts” and binding technical standards, and guidelines issued by EIOPA. The Delegated Regulation sets out more detailed requirements for individual insurance and reinsurance undertakings, as well as for groups, based on the overarching provisions of Solvency II, which together make up the core of the single prudential rulebook for insurance and reinsurance undertakings in the EU.
Insurers and reinsurers establishedIn December 2020, EIOPA provided an opinion to the European Commission in a Member Staterelation to the review of the EU haveSolvency II regime. This review was initiated by the freedomEuropean Commission to establish branches in and provide servicesdetermine if the Solvency II regime remains fit for purpose. In its opinion, EIOPA confirms that
the overall Solvency II framework is working well from a prudential perspective, suggesting that there are no fundamental changes needed but that a number of amendments are required to all EEA states. Arch Insurance Company Europe and AUAL, being established inensure the regime continues as a well-functioning risk-based regime. The European Commission will review EIOPA's opinion over the coming months.
Following entry into the TCA by the U.K. and authorized by the PRAEU, and FCA, are able, subject to regulatory notifications and there being no objectionthe U.K.’s withdrawal from the relevantEU under the provisions of the TCA, U.K. regulatorfinancial institutions have lost their passporting rights into the EU. It is envisaged that there will be a level of cooperation in relation to financial services, reflected in a Memorandum of Understanding between the U.K. and the Member States concerned,EU and this is currently expected to establish branchesbe in place by March 2021.See “Risk Factors—Risks Relating to Our Industry, Business and provide insurance and reinsurance services in all EEA Member States. Equally, Operations—The U.K.’s Withdrawal from the EU could adversely affect us.”
Arch Re Europe and Arch MI Europe,Insurance (EU), being established in Ireland and authorized by the CBOI are able, subject to similar regulatory notifications and there being no objection from the CBOI and the Member States concerned, to establish branches and provide reinsurance services, and, in respect of Arch MI Europe,Insurance (EU), insurance services in all EEA states.
Solvency II does not prohibit EEA insurers from obtaining reinsurance from reinsurers licensed outside the EEA, such as Arch Re Bermuda. As such, and subject to the specific rules in each Member State, Arch Re Bermuda may do business from Bermuda with insurers in EEA Member States, but it may not directly operate its reinsurance business within the EEA. Article 172 of Solvency II provides that reinsurance contracts concluded by insurance undertakings in the EEA with reinsurers having their head office in a country whose solvency regime has been determined to be equivalent to Solvency II shall be treated in the same manner as reinsurance contracts with undertakings in the EEA authorized under Solvency II. In this regard, with effect fromFrom January 1, 2016, Bermuda was deemed by the supervisory regime, including the solvency regime, in Bermuda has been determinedEuropean Commission to be equivalent to that laid down infor Solvency II except in relation to captives and special purpose insurers.purposes. Solvency II also includes specific measures providing for the supervision of insurance and reinsurance groups. However, as a consequence of the above determination of equivalence, pursuant to Article 260 of Solvency II, regulators within the EEA are required to rely on the worldwide group supervision exercised by the BMA. EIOPA has also indicated that, on a case by case basis, groups subject to this worldwide supervision may
be exempted from any EEA sub-group supervision, where this results in more efficient supervision of the group and does not impair EEA supervisors in respect of their individual responsibilities.

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The Insurance Distribution Directive ("IDD"(“IDD”) was published in February 2016 and must be transposed into the law of EU2016. EEA Member States by February 2018 (it is expected thatwere required to transpose the IDD will apply acrossby October 1, 2018. It replaces the EU starting October 2018).existing Insurance Mediation Directive. The IDD will applyapplies to all distributors of insurance and reinsurance products (including insurers and reinsurers selling directly to customers) and will strengthenstrengthens the regulatory regime applicable to distribution activities through increased transparency, information and conduct requirements. The principal impact of the IDD will beis on the insurance market, however, requirements which willthat apply across insurance and reinsurance include more specific conditions regarding knowledge and continuing professional development requirements for those involved in distribution of (re)insurance products. The IDD will continuecontinues the existing ability for intermediaries established in a Member State of the EU to establish branches and provide services to all EEA states. Arch Underwriters Europe, being established in Ireland and authorized by the CBOI, is able, subject to regulatory notifications and there being no objection from the CBOI, to establish branches and provide services in all EEA states.
Privacy. The European General Data Protection Regulation (the “GDPR”) came into effect on May 25, 2018. The GDPR aims to introduce consistent data protection rules across the EU and EEA, and its scope extends to certain entities not established in the EEA if they process personal data or offer goods or services to, or monitor the behavior of, EEA data subjects. The GDPR contains a number of requirements regarding the processing of personal data about individuals, including mandatory security breach reporting, new and strengthened individual rights, evidenced data controller accountability for compliance with the GDPR principles (including fairness and transparency), maintenance of data processing activity records and the implementation of “privacy by design,” including through the completion of mandatory Data Protection Impact Assessments in connection with higher risk data processing activities. Following the end of the Transition Period on December 31, 2020, GDPR was entered into force in the U.K. (the “U.K. GDPR”).The requirements of the U.K. GDPR are virtually identical to those of the EU GDPR.After the expiration of the Transition Period, transfers of personal data from the U.K. to the EEA are unrestricted and do not require additional safeguards. Data flows from the EU to the U.K. remain unrestricted for a six month interim basis from January 1, 2021, provided the U.K. makes no substantive changes to its data protection laws. The interim period is intended to give the European Commission time to carry out its adequacy assessment of U.K. data protection laws to determine whether they offer an ‘essentially equivalent’ level of data protection to that afforded in the EU. If the European Commission were to grant the U.K. an ‘adequacy decision’ transfers of personal data from the EEA to the U.K. would continue unrestricted and would not require any additional
safeguards, unless the decision was revoked by the European Commission. On February 19, 2021, the European Commission published a first draft of its "adequacy decision" and officially launched the process towards the adoption of the adequacy decision for transfers of personal data to the United Kingdom from the EU.
Switzerland
In December 2008, Arch Re Europe opened Arch Re Europe Swiss Branch as a branch office. As Arch Re Europe is domiciled outside of Switzerland and its activities are limited to reinsurance, the Arch Re Europe Swiss Branch in Switzerland is not required to be licensed by the Swiss insurance regulatory authorities.
In August 2014, Arch Underwriters Europe opened a branch office in Zurich (“Arch Underwriters Europe Swiss Branch”) to render reinsurance advisory services to certain group companies. Arch Underwriters Europe Swiss Branch is registered with the commercial register of the Canton of Zurich. Since its activities are limited to advisory services for reinsurance matters, the Arch Underwriters Europe Swiss Branch is not required to be licensed by the Swiss insurance regulatory authorities.
Australia
APRA is an independent statutory authority responsible for prudential supervision of institutions across banking, insurance and superannuation and promotes financial stability in Australia. Arch LMI was authorized by APRA in January 2019 to conduct monoline lenders’ mortgage insurance business in Australia. Major regulatory requirements that are applicable to Arch LMI as an insurance provider in Australia include requirements on minimum capital levels and compliance with corporate governance standards, including the risk management strategy for our Australian mortgage insurance business.
Hong Kong
The Hong Kong insurance industry is regulated by theHong Kong Insurance Authority the regulatory authority established pursuant to the Insurance Ordinance (Cap. 41)(“HKIA”), whose principal function is to regulate and supervise the insurance industry for the promotion of the general stability of the insurance industry and for the protection of existing and potential policyholders. Arch MI Asia is authorized to carry on general business Class 14 (Credit) and Class 16 (Miscellaneous Financial Loss), in or from Hong Kong.
Major regulatory requirements that are applicable to Arch MI Asia as a general business insurer include requirements on minimum paid-up capital, minimum solvency margin and maintenance of assets in Hong Kong.

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TAX MATTERS

The following summary of the taxation of Arch Capital and the taxation of our shareholders is based upon current law and is for general information only. Legislative, judicial or administrative changes may be forthcoming that could affect this summary.
The following legal discussion (including and subject to the matters and qualifications set forth in such summary) of certain tax considerations (a) under “—Taxation of Arch Capital—Bermuda” and “—Taxation of Shareholders—Bermuda” is


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based upon the advice of Conyers Dill & Pearman Limited, Hamilton, Bermuda and (b) under “—Taxation of Arch Capital-United States,” “—Taxation of Shareholders-United States Taxation,” “—Taxation of Our U.S. Shareholders” and “—United States Taxation of Non-U.S. Shareholders” is based upon the advice of Cahill Gordon & Reindel LLP, New York, New York (the advice of such firms does not include accounting matters, determinations or conclusions relating to the business or activities of Arch Capital). The summary is based upon current law and is for general information only. The tax treatment of a holder of our common or preferred shares, or of a person treated as a holder of our shares for U.S. federal income, state, local or non-U.S. tax purposes, may vary depending on the holder’s particular tax situation. Legislative, judicial or administrative changes or interpretations may be forthcoming that could be retroactive and could affect the tax consequences to us or to holders of our shares.
Taxation of Arch Capital
Bermuda. Under current Bermuda law, Arch Capital is not subject to tax on income or profits, withholding, capital gains or capital transfers. Arch Capital has obtained from the Minister of Finance under the Exempted Undertakings Tax Protection Act 1966 of Bermuda an assurance that, in the event that Bermuda enacts legislation imposing tax computed on profits, income, any capital asset, gain or appreciation, or any tax in the nature of estate duty or inheritance, the imposition of any such tax shall not be applicable to Arch Capital or to any of our operations or our shares, debentures or other obligations until March 31, 2035. We could be subject to taxes in Bermuda after that date. This assurance will be subject to the proviso that it is not to be construed so as to prevent the application of any tax or duty to such persons as are ordinarily resident in Bermuda (we are not so currently affected) or to prevent the application of any tax payable in accordance with the provisions of the Land Tax Act 1967 of Bermuda or otherwise payable in relation to any property leased to us or our insurance subsidiary. We pay annual Bermuda government fees, and our Bermuda insurance and reinsurance subsidiary pays annual insurance
license fees. In addition, all entities employing individuals in Bermuda are required to pay a payroll tax and other sundry taxes payable, directly or indirectly, to the Bermuda government.
United States. Arch Capital and its non-U.S. subsidiaries intend to conduct their operations in a manner that will not cause them to be treated as engaged in a trade or business in the U.S. and, therefore, will not be required to pay U.S. federal income taxes (other than U.S. excise taxes on insurance and reinsurance premium and withholding taxes on dividends and certain other U.S. source investment income). However, because definitive identification of activities which constitute being engaged in a trade or business in the U.S. is not provided by the Internal Revenue Code of 1986, as amended (the “Code”), or regulations or court decisions, there can be no assurance that the U.S. Internal Revenue Service (“IRS”) will not contend successfully
that Arch Capital or its non-U.S. subsidiaries are or have been engaged in a trade or business in the U.S. A foreign corporation deemed to be so engaged would be subject to U.S. federal income tax, as well as the branch profits tax, on its income, which is treated as effectively connected with the conduct of that trade or business unless the corporation is entitled to relief under the permanent establishment provisions of a tax treaty. Such income tax, if imposed, would be based on effectively connected income computed in a manner generally analogous to that applied to the income of a domestic corporation, except that deductions and credits generally are not permitted unless the foreign corporation has timely filed a U.S. federal income tax return in accordance with applicable regulations. Penalties may be assessed for failure to file tax returns. The 30% branch profits tax is imposed on net income after subtracting the regular corporate tax and making certain other adjustments.
Under the income tax treaty between Bermuda and the U.S. (the “Treaty”), Arch Capital's Bermuda insurance subsidiaries will be subject to U.S. income tax on any insurance premium income found to be effectively connected with a U.S. trade or business only if that trade or business is conducted through a permanent establishment in the U.S. No regulations interpreting the Treaty have been issued. While there can be no assurances, Arch Capital does not believe that any of its Bermuda insurance subsidiaries has a permanent establishment in the U.S. Such subsidiaries would not be entitled to the benefits of the Treaty if (i) 50% or less of Arch Capital's shares were beneficially owned, directly or indirectly, by Bermuda residents or U.S. citizens or residents, or (ii) any such subsidiary's income were used in substantial part to make disproportionate distributions to, or to meet certain liabilities to, persons who are not Bermuda residents or U.S. citizens or residents. While there can be no assurances, Arch Capital believes that its Bermuda insurance subsidiaries are eligible for Treaty benefits.

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The Treaty clearly applies to premium income, but may be construed as not protecting investment income. If Arch Capital’s Bermuda insurance subsidiaries were considered to be engaged in a U.S. trade or business and were entitled to the benefits of the Treaty in general, but the Treaty were not found to protect investment income, a portion of such subsidiaries’ investment income could be subject to U.S. federal income tax.
Non-U.S. insurance companies carrying on an insurance business within the U.S. have a certain minimum amount of effectively connected net investment income, determined in accordance with a formula that depends, in part, on the amount of U.S. risk insured or reinsured by such companies. If any of Arch Capital's non-U.S. insurance subsidiaries is considered to be engaged in the conduct of an insurance business in the U.S., a significant portion of such company's investment income could be subject to U.S. federal income tax.
Non-U.S. corporations not engaged in a trade or business in the U.S. are nonetheless subject to U.S. income tax on certain “fixed


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or determinable annual or periodic gains, profits and income” derived from sources within the U.S. as enumerated in Section 881(a) of the Code (such as dividends and certain interest on investments), subject to exemption under the Code or reduction by applicable treaties.
The U.S. also imposes an excise tax on insurance and reinsurance premiums paid to non-U.S. insurers or reinsurers with respect to risks located in the U.S. The rates of tax, unless reduced by an applicable U.S. tax treaty, are 4% for non-life insurance premiums and 1% for life insurance and all reinsurance premiums.
On December 22, 2017, theThe Tax Cuts and Jobs Act of 2017 (the “Tax Cuts Act”) was signed into law by the President of the United States.States in 2017. For taxable years beginning after 2017, the Tax Cuts Act imposes a 10% minimum base erosion and anti-abuse tax (reduced to 5% for the 2018 taxable year and increased(increased to 12.5% for the 2026 taxable year and the subsequent taxable years) on the “modified taxable income” of a U.S. corporation (or a non-U.S. corporation engaged in a U.S. trade or business) over such corporation’s regular U.S. federal income tax, reduced by certain tax credits. The “modified taxable income” of a corporation is determined without deduction for certain payments by such corporation to its non-U.S. affiliates (including reinsurance premiums). Final regulations interpreting the base erosion and anti-abuse tax were issued in December 2019.
United Kingdom. Our U.K. subsidiaries are companies incorporated and have their central management and control in the U.K., and are therefore resident in the U.K. for corporation tax purposes. As a result, they will be subject to U.K. corporation tax on their respective trading profits. The U.K. branches of Arch Re Europe and Arch Underwriters EuropeInsurance (EU) will be
subject to U.K. corporation tax on the profits (both income profits and chargeable gains) attributable to each branch. The main rate of U.K. corporation tax for the financial year starting April 1, 2017 is 19% on profits. It has been announced that the U.K. corporation tax rate will remain at 19% on profits for the financial years starting April 1, 2018 and April 1, 2019, and will reduce to 17% on profits for the financial year starting April 1, 2020.
Canada. Arch Insurance Canada, a Canadian federal insurance company, commenced underwriting in 2013. Arch Re U.S., through a branch, commenced underwriting reinsurance in Canada in January 2015. Arch Insurance Canada is taxed on its worldwide income. Arch Re U.S. is taxed on its net business income earned in Canada. The general federal corporate income tax rate in Canada is currently 15%. Provincial and territorial corporate income tax rates are added to the general federal corporate income tax rate and generally vary between 11%8% and 16%.
Ireland. Each of Arch Re Europe, Arch MI EuropeInsurance (EU) and Arch Underwriters Europe is incorporated and resident in Ireland for corporation tax purposes and will be subject to Irish corporate tax on its worldwide profits, including the profits of the
branches of Arch Re Europe, Arch Insurance (EU) and Arch Underwriters Europe. Any creditable foreign tax payable will be creditable against Arch Re Europe’s Irish corporate tax liability on the results of Arch Re Europe’s branches with the same principle applied to Arch Insurance (EU)’s branches and Arch Underwriters Europe’s branches. The current rate of Irish corporation tax applicable to such trading profits is 12.5%.
Switzerland. Arch Re Europe Swiss Branch and Arch Underwriters Europe Swiss Branch are subject to Swiss corporation tax on the profit which is allocated to the branch. The effective tax rate is approximately 21.12%21.15% for Swiss federal, cantonal and communal corporation taxes on the profit. The effective tax rate of the annual cantonal and communal capital taxes on the equity which is allocated to Arch Re Europe Swiss Branch and Arch Underwriters Europe Swiss Branch is approximately 0.17%.
Denmark. Arch Re Denmark, established as a subsidiary of Arch Re Bermuda, is subject to Danish corporation taxes on its profits at a rate of 25% for 2013 and the preceding years. The corporate tax rate was reduced to 24.5% for 2014, to 23.5% for 2015 and to 22% for 2016 and onwards.
Hong Kong. Arch MI Asia is subject to Hong Kong corporate tax on its assessable profits at a rate of 16.5%. Assessable profits are the net profits for the basis period, arising in or derived from Hong Kong.
Australia. Arch LMI, an Australian incorporated and tax resident company, is subject to Australian corporate tax on its worldwide profits. The current rate of Australian corporation tax applicable to such profits is 30%.
Taxation of Shareholders
Bermuda. Currently, there is no Bermuda withholding tax on dividends paid by us.

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United States—General. The following summary sets forth certain U.S. federal income tax considerations related to the purchase, ownership and disposition of our common shares and our non-cumulative preferred shares (“preferred shares”). Unless otherwise stated, this summary deals only with shareholders (“U.S. holders”) that are U.S. Persons (as defined below) who hold their common shares and preferred shares as capital assets and as beneficial owners. The following discussion is only a general summary of the U.S. federal income tax matters described herein and does not purport to address all of the U.S. federal income tax consequences that may be relevant to a particular shareholder in light of such shareholder’s specific circumstances. In addition, the following summary does not describe the U.S. federal income tax consequences that may be relevant to certain types of shareholders, such as banks, insurance companies, regulated investment companies, real estate investment trusts, financial asset securitization investment trusts, dealers in securities or traders that adopt a mark-to-market method of tax accounting, tax exempt entities, expatriates, U.S. holders that hold our common shares or preferred shares through a non-U.S. broker or other non-U.S. intermediary, persons who hold the common shares or preferred shares as part of a hedging or conversion transaction or as part


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of a straddle, who may be subject to special rules or treatment under the Code or persons required for U.S. federal income tax purposed to recognize income no later than such income is reported on such persons’ applicable financial statements. This discussion is based upon the Code, the Treasury regulations promulgated there under and any relevant administrative rulings or pronouncements or judicial decisions, all as in effect on the date of this annual report and as currently interpreted, and does not take into account possible changes in such tax laws or interpretations thereof, which may apply retroactively. This discussion does not include any description of the tax laws of any state or local governments within the U.S., or of any foreign government, that may be applicable to our common shares or preferred shares or the shareholders. Persons considering making an investment in the common shares or preferred shares should consult their own tax advisors concerning the application of the U.S. federal tax laws to their particular situations as well as any tax consequences arising under the laws of any state, local or foreign taxing jurisdiction prior to making such investment.
If an entity that is treated as a partnership holds our common shares or preferred shares, the tax treatment of a partner will generally depend upon the status of the partner and the activities of the partnership. If you are a partner of a partnership holding our common shares or preferred shares, you should consult your tax advisor.
For purposes of this discussion, the term “U.S. Person” means:
an individual who is a citizen or resident of the U.S.;
a corporation or entity treated as a corporation created or organized under the laws of the U.S., any state thereof, or the District of Columbia;
an estate the income of which is subject to U.S. federal income taxation regardless of its source;
a trust if either (i) a court within the U.S. is able to exercise primary supervision over the administration of such trust and one or more U.S. persons have the authority to control all substantial decisions of such trust or (ii) the trust has a valid election in effect to be treated as a U.S. person for U.S. federal income tax purposes; or
any other person or entity that is treated for U.S. federal income tax purposes as if it were one of the foregoing.
United States—Taxation of Dividends. The preferred shares should be properly classified as equity rather than debt for U.S. federal income tax purposes. Subject to the discussions below relating to the potential application of the controlled foreign corporation (“CFC”), “related person insurance income” (“RPII”) and passive foreign investment companies (“PFIC”) rules, as defined below, cash distributions, if any, made with respect to our common shares or preferred shares will constitute dividends for U.S. federal income tax purposes to the extent paid out of our current or accumulated earnings and profits (as computed using U.S. tax principles). If a U.S.
holder of our common shares or our preferred shares is an individual or other non-corporate holder, dividends paid, if any, to that holder that constitute qualified dividend income generally will be taxable at the rate applicable for long-term capital gains (generally up to 20%), provided that such person meets a holding period requirement. Generally in order to meet the holding period requirement, the U.S. Person must hold the common shares for more than 60 days during the 121-day period beginning 60 days before the ex-dividend date and must hold preferred shares for more than 90 days during the 181-day period beginning 90 days before the ex-dividend date. Dividends paid, if any, with respect to common shares or preferred shares generally will be qualified dividend income, provided the common shares or preferred shares are readily tradable on an established securities market in the U.S. in the year in which the shareholder receives the dividend (which should be the case for shares that are listed on the NASDAQ Stock Market or the New York Stock Exchange) and Arch Capital is not considered to be a passive foreign investment company in either the year of the distribution or the preceding taxable year. No assurance can be given that the preferred shares will be considered readily tradable on an established securities market in the U.S. See “—Taxation of Our U.S. Shareholders” below.
A U.S. holder that is an individual, estate or a trust that does not fall into a special class of trusts that is exempt from such

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tax, will be subject to a 3.8% tax on the lesser of (1) the U.S. holder’s “net investment income” for the relevant taxable year and (2) the excess of the U.S. holder’s modified adjusted gross income for the taxable year over a certain threshold (which in the case of individual will be between $125,000 and $250,000, depending on the individual’s circumstances). A U.S. holder’s net investment income will generally include its dividend income and its net gains from the disposition of our common shares and preferred shares, unless such dividend income or net gains are derived in the ordinary course of the conduct of a trade or business (other than a trade or business that consists of certain passive or trading activities).
Distributions with respect to the common shares and the preferred shares will not be eligible for the dividends received deduction allowed to U.S. corporations under the Code. To the extent distributions on our common shares and preferred shares exceed our earnings and profits, they will be treated first as a return of the U.S. holder's basis in our common shares and our preferred shares to the extent thereof, and then as gain from the sale of a capital asset.
United States—Sale, Exchange or Other Disposition. Subject to the discussions below relating to the potential application of the CFC, RPII and PFIC rules, holders of common shares and preferred shares generally will recognize capital gain or loss for U.S. federal income tax purposes on the sale, exchange or disposition of common shares or preferred shares, as applicable.


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United States—Redemption of Preferred Shares. A redemption of the preferred shares will be treated under section 302 of the Code as a dividend if we have sufficient earnings and profits, unless the redemption satisfies one of the tests set forth in section 302(b) of the Code enabling the redemption to be treated as a sale or exchange, subject to the discussion herein relating to the potential application of the CFC, RPII and PFIC rules. Under the relevant Code section 302(b) tests, the redemption should be treated as a sale or exchange only if it (1) is substantially disproportionate, (2) constitutes a complete termination of the holder's stock interest in us or (3) is “not essentially equivalent to a dividend.” In determining whether any of these tests are met, shares considered to be owned by the holder by reason of certain constructive ownership rules set forth in the Code, as well as shares actually owned, must generally be taken into account. It may be more difficult for a U.S. Person who owns, actually or constructively by operation of the attribution rules, any of our other shares to satisfy any of the above requirements. The determination as to whether any of the alternative tests of section 302(b) of the Code is satisfied with respect to a particular holder of the preference shares depends on the facts and circumstances as of the time the determination is made.
Taxation of Our U.S. Shareholders
Controlled Foreign Corporation Rules. We or any of our non-U.S. subsidiaries will be treated as a CFC with respect to any taxable year if at any time during such taxable year, one or more “10% Shareholders” (as defined below) collectively own more than 50% of us or such non-U.S. subsidiary (as applicable) by vote or value (taking into account shares actually owned by such U.S. holder as well as shares attributed to such U.S. holder under the Code or the regulations thereunder). For taxable years beginning on or before December 31, 2017, a 10% Shareholder means any shareholder who was considered to own, actually or constructively, 10% or more of the total combined voting power of our shares or those of our non-U.S. subsidiaries (as applicable). Under the Tax Cuts Act, for taxable years beginning after December 31, 2017, a 10% Shareholder also includes any shareholder who is considered to own, actually or constructively, 10% or more of the value of our shares or those of our non-U.S. subsidiaries (as applicable). As a result, for taxable years beginning after December 31, 2017, the voting cut-back limitation contained in our bye-laws that limits the votes conferred by the Controlled Shares (as defined in our bye-laws) of any U.S. Person to 9.9% of the total voting power of all our shares entitled to vote will not prevent any U.S. holder from being treated as a 10% Shareholder. Due to the repeal of section 958(b)(4) under the Tax Cuts Act, all non-U.S. subsidiaries directly or indirectly owned by Arch Capital are treated as constructively owned by its US subsidiaries, and therefore are treated as CFCs.
Status as a CFC would not cause us or any of our non-U.S. subsidiaries to be subject to U.S. federal income tax. Such status also would have no adverse U.S. federal income tax consequences for any U.S. holder that is not a 10% Shareholder with respect to us or any of such non-U.S. subsidiaries (as applicable). If we or any of our non-U.S. subsidiaries are or were a CFC with respect to any taxable
year, a U.S. holder that is considered a 10% U.S. Shareholder would be subject to current U.S. federal income taxation (at ordinary income tax rates) to the extent of all or a portion of the undistributed earnings and profits of Arch Capital and our subsidiaries attributable to “subpart F income” (including certain insurance premium income and investment income) or global intangible low-taxed income and may be taxable at ordinary income tax rates on any gain recognized on a sale or other disposition (including by way of repurchase or liquidation) of our common shares or preferred shares to the extent of the current and accumulated earnings and profits attributable to such common shares or preferred shares. For taxable years beginning after December 31, 2017, a helpful limitation, which provides that a U.S. shareholder would not be subject to the current inclusion rules of Subpart F for a taxable year unless the non-U.S. corporation was a CFC for an uninterrupted period of 30 days or more during such taxable year, will no longer apply.

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Related Person Insurance Income Rules. Generally, we do not expect the gross RPII of any of our non-U.S. subsidiaries to equal or exceed 20% of its gross insurance income in any taxable year for the foreseeable future (the “RPII 20% gross income exception”). Consequently, we do not expect any U.S. person owning common shares or preferred shares to be required to include in gross income for U.S. federal income tax purposes RPII income, but there can be no assurance that this will be the case.
Section 953(c)(7) of the Code generally provides that Section 1248 of the Code (which generally would require a U.S. holder to treat certain gains attributable to the sale, exchange or disposition of common shares or preferred shares as a dividend) will apply to the sale or exchange by a U.S. shareholder of shares in a foreign corporation that is characterized as a CFC under the RPII rules if the foreign corporation would be taxed as an insurance company if it were a domestic corporation, regardless of whether the U.S. shareholder is a 10% U.S. Shareholder or whether the corporation qualifies for the RPII 20% gross income exception. Although existing U.S. Treasury Department (“Treasury”) regulations do not address the question, proposed Treasury regulations issued in April 1991 create some ambiguity as to whether Section 1248 and the requirement to file Form 5471 would apply when the foreign corporation has a foreign insurance subsidiary that is a CFC for RPII purposes and that would be taxed as an insurance company if it were a domestic corporation. We believe that Section 1248 and the requirement to file Form 5471 will not apply to a less than 10% U.S. Shareholder because Arch Capital is not directly engaged in the insurance business. There can be no assurance, however, that the IRS will interpret the proposed regulations in this manner or that the Treasury will not take the position that Section 1248 and the requirement to file Form 5471 will apply to dispositions of our common shares or our preferred shares.


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If the IRS or Treasury were to make Section 1248 and the Form 5471 filing requirement applicable to the sale of our shares, we would notify shareholders that Section 1248 of the Code and the requirement to file Form 5471 will apply to dispositions of our shares. Thereafter, we would send a notice after the end of each calendar year to all persons who were shareholders during the year notifying them that Section 1248 and the requirement to file Form 5471 apply to dispositions of our shares by U.S. holders. We would attach to this notice a copy of Form 5471 completed with all our information and instructions for completing the shareholder information.
Tax-Exempt Shareholders. Tax-exempt entities may be required to treat certain Subpart F insurance income, including RPII, that is includible in income by the tax-exempt entity as unrelated business taxable income. Prospective investors that are tax exempt entities are urged to consult
their own tax advisors as to the potential impact of the unrelated business taxable income provisions of the Code.
Passive Foreign Investment Companies. Sections 1291 through 1298 of the Code contain special rules applicable with respect to foreign corporations that are PFICs. In general, a foreign corporation will be a PFIC if 75% or more of its income constitutes “passive income” or 50% or more of its assets produce passive income. If we were to be characterized as a PFIC, U.S. holders would be subject to a penalty tax at the time of their sale of (or receipt of an “excess distribution” with respect to) their common shares or preferred shares. In general, a shareholder receives an “excess distribution” if the amount of the distribution is more than 125% of the average distribution with respect to the shares during the three preceding taxable years (or shorter period during which the taxpayer held the stock). In general, the penalty tax is equivalent to an interest charge on taxes that are deemed due during the period the shareholder owned the shares, computed by assuming that the excess distribution or gain (in the case of a sale) with respect to the shares was taxable in equal portions throughout the holder’s period of ownership. The interest charge is equal to the applicable rate imposed on underpayments of U.S. federal income tax for such period. A U.S. shareholder may avoid some of the adverse tax consequences of owning shares in a PFIC by making a qualified electing fund (“QEF”) election. A QEF election is revocable only with the consent of the IRS and has the following consequences to a shareholder:
For any year in which Arch Capital is not a PFIC, no income tax consequences would result.
For any year in which Arch Capital is a PFIC, the shareholder would include in its taxable income a proportionate share of the net ordinary income and net capital gains of Arch Capital and certain of its non-U.S. subsidiaries.
For taxable years beginning on or before December 31, 2017, the determination of whether the active insurance company exception applies to an insurance company was made on a case-
by-casecase-by-case basis and the analysis was inherently subjective. Under the Tax Cuts Act, for taxable years beginning after December 31, 2017, the active insurance company exception applies only if (i) the company would be taxed as an insurance company were it a U.S. corporation and (ii) either (A) loss and loss adjustment expense and certain reserves constitute more than 25% of the company’s gross assets for the relevant year or (B) loss and loss adjustment expenses and certain reserves constitute more than 10% of the company’s gross assets for the relevant year and, based on the applicable facts and circumstances, the company is predominantly engaged in an insurance business and the failure of the company to satisfy the preceding 25% test is due solely to run-off related or other specified circumstances

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involving the insurance business. The PFIC statutory provisions contain a look-through rule that states that, for purposes of determining whether a foreign corporation is a PFIC, such foreign corporation shall be treated as if it “received directly its proportionate share of the income” and as if it “held its proportionate share of the assets” of any other corporation in which it owns at least 25% of the stock. We believe that we were not a PFIC for any taxable year beginning on or before December 31, 2017, or any subsequent taxable year ending on or before December 31, 2020, and we currently are not expecting to become a PFIC for any subsequent taxable year beginning after December 31, 2017year. However, due to the complexity and uncertainty of the PFIC rules and the limited guidance interpreting them, there can be no assurance that we have not been a PFIC to date or that we will use reasonable best efforts to cause us and each of our majority owned non-U.S. insurance subsidiaries not to constitutebecome a PFIC.PFIC at some time in the future.
In April 2015,On December 4, 2020, the IRS issued proposedcertain final regulations in an attempt to define the foreign insurance company exception to the PFIC rules (the “proposed“2020 final PFIC insurance regulations”). The and revised proposed regulations (the “2020 proposed PFIC insurance regulations”) regarding the application of the insurance company exception. While we believe that the 2020 final PFIC insurance regulations and the 2020 proposed PFIC insurance regulations are likelyshould not adversely impact the our ability to be revised in light ofsatisfy the modified active insurance company exception containedand avoid being treated as a PFIC, there can be no assurance that such exception will in fact apply and/or will continue to apply at all times in the Tax Cuts Act (as described above).
No regulations interpreting the substantive PFIC provisions have yet been finalized. It is possible that the regulations interpreting the PFIC provisions will be issued in the future and contain rules different from those in the proposed PFIC insurance regulations.future. Each U.S. holder should consult its own tax advisor as to the effects of these rules.
United States Taxation of Non-U.S. Shareholders
Taxation of Dividends. Cash distributions, if any, made with respect to common shares or preferred shares held by shareholders who are not U.S. Persons (“Non-U.S. holders”) generally will not be subject to U.S. withholding tax.
Sale, Exchange or Other Disposition. Non-U.S. holders of common shares or preferred shares generally will not be subject to U.S. federal income tax with respect to gain realized upon the sale, exchange or other disposition of such shares unless such gain is effectively connected with a U.S. trade or business of the Non-U.S. holder in the U.S. or such person is present in the U.S. for 183 days or more in the taxable year the gain is realized and certain other requirements are satisfied.


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Information Reporting and Backup Withholding. Non-U.S. holders of common shares or preferred shares will not be subject to U.S. information reporting or backup withholding with respect to dispositions of common shares effected through a non-U.S. office of a broker, unless the broker has certain connections to the U.S. or is a U.S. person. No U.S. backup withholding will apply to payments of dividends, if any, on our common shares or our preferred shares.
FATCA Withholding. Sections 1471 through 1474 to the Code, known as the Foreign Account Tax Compliance Act (“FATCA”), impose a withholding tax of 30% on (i) U.S.-source interest, dividends and certain other types of income, and (ii) the gross proceeds from the sale or disposition of assets which produce such types of income, which areis received by a foreign financial institution (“FFI”), unless such FFI enters into an agreement with the IRS to obtain certain information as to the identity of the direct and indirect owners of accounts in such institution. In addition, a 30% withholding tax may be imposed on the above payments to certain non-financial foreign entities which do not (i) certify to each respective withholding agent that they have no “substantial U.S. owners” (i.e., a U.S. 10% direct or indirect shareholder), or (ii) provide such withholding agent with the certain information as to the identity of such substantial U.S. owners. The U.S. has entered into
intergovernmental agreements to implement FATCA (“IGAs”) with a number of jurisdictions. Bermuda has signed an IGA with the U.S. Different rules than those described above may apply under such an IGA.
Although dividends with respect to our common shares or preferred shares will generally be treated as foreign source for U.S. federal withholding tax purposes, it is unclear whether, for FATCA purposes, some or all of our dividends may be recharacterized as U.S. source dividends. Treasury regulations addressing this topic have not yet been issued.
Withholding on U.S.-source interest, dividends and certain other types of income applies from July 1, 2014, and withholding on gross proceeds will apply beginning on January 1, 2019. Prospective investors are urged to consult their own tax advisors as to the filing and information requirements that may be imposed on them in respect of their ownership of our common share or preferred shares.
Other Tax Laws. Shareholders should consult their own tax advisors with respect to the applicability to them of the tax laws of other jurisdictions.



ITEM 1A.ARCH CAPITAL
RISK FACTORS
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ITEM 1A. RISK FACTORS
Set forth below are risk factors relating to our business. These risks and uncertainties are not the only ones we face. There may be additional risks that we currently consider not to be material or of which we are not currently aware, and any of these risks could cause our actual results to differ materially from historical or anticipated results. You should carefully consider these risks along with the other information provided in this report, including our “Management’s Discussion and Analysis of Financial Condition and Results of Operations” and our accompanying consolidated financial statements, as well as the information under the heading “Cautionary Note Regarding Forward-Looking Statements” before investing in any of our securities. We may amend, supplement or add to the risk factors described below from time to time in future reports filed with the SEC.
Risks Relating to Our Industry, Business and Operations
We operate in a highly competitive environment, and we may not be able to compete successfully in our industry.
The insurance and reinsurance industry is highly competitive. We compete on an international and regional basis with major U.S. and non-U.S. insurers and reinsurers, many of which have greater financial, marketing and management resources than we do. We also compete with new companies that continue to
be formed to enterSee “Competition” in Item 1 for details on our competitors in each of the insurance and reinsurance markets, as well as with other capital market participants that create alternative products intended to compete with reinsurance products. Certain new companies entering the insurance and reinsurance markets are pursuing more aggressive investment strategies than domajor segments we and other traditional reinsurers, which may result in downward pressure on premium rates. In our U.S. mortgage business, we compete with other private mortgage insurers, with the Federal Housing Administration, and, increasingly, with well capitalized multiline reinsurers and capital markets alternatives to private mortgage insurance. Competition within the private mortgage insurance industry could result in the loss of customers, lower premiums, riskier credit guidelines and other changes that could lower our revenues or increase our expenses.
In addition, thereoperate in. There has been significant consolidation in the insurance and reinsurance sector in recent years and we may experience increased competition as a result of that consolidation, with consolidated entities having enhanced market power. These consolidated entities may use their enhanced market power and broader capital base to negotiate price reductions for products and services that compete with ours, and we may experience rate declines and possibly write less business. Any failure by us to effectively compete could


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adversely affect our financial condition and results of operations.
The insurance and reinsurance industry is highly cyclical, and we expect to continue tomay at times experience periods characterized by excess underwriting capacity and unfavorable premium rates.
Historically, insurers and reinsurers have experienced significant fluctuations in operating results due to competition, frequency of occurrence or severity of catastrophic events, levels of capacity, general economic conditions, changes in equity, debt and other investment markets, changes in legislation, case law and prevailing concepts of liability and other factors. In particular, demandDemand for reinsurance is influenced significantly by the underwriting
results of primary insurers and prevailing general economic conditions. The supply of insurance and reinsurance is related to prevailing prices and levels of surplus capacity that, in turn, may fluctuate in response to changes in rates of return being realized in the insurance and reinsurance industry on both underwriting and investment sides. As a result, the insurance and reinsurance business historically has been a cyclical industry characterized by periods of intense price competition due to excessive underwriting capacity as well as periods when shortages of capacity permitted favorable premium levels and changes in terms and conditions. TheUntil recently, the supply of insurance and reinsurance hashad increased over the past several years, and may increase further,again in the future, either as a result of capital provided by new entrants or by the commitment of additional capital by existing insurers or reinsurers. Continued increases in the supply of insurance and reinsurance may have consequences for us, including fewer contracts written, lower premium rates, increased expenses for customer acquisition and retention, and less favorable policy terms and conditions.
Claims for natural and man-made catastrophic events could cause large losses and substantial volatility in our results of operations and could have a material adverse effect on our financial position and results of operations.
We have large aggregate exposures to natural and man-made catastrophic events. CatastrophesNatural catastrophes can be caused by various events, including hurricanes, floods, wildfires, tsunamis, windstorms, earthquakes, hailstorms, tornadoes, explosions, severe winter weather, fires, droughts and other natural disasters. The frequency and severity of natural catastrophe activity, including hurricanes, tsunamis, tornadoes, floods and droughts, has also been greater in recent years. Man-made catastrophic events may include acts of war, acts of terrorism and political instability. Catastrophes can also cause losses in non-property business such as workers’ compensation or general liability. In addition to the nature of the property business, we believe that economic and geographic trends affecting insured property, including inflation, property value appreciation and geographic concentration tend to generally increase the size of losses from catastrophic events over time. Actual losses from future catastrophic events may vary materially from estimates due to the inherent uncertainties in making such determinations resulting from several factors, including the potential inaccuracies and inadequacies in the data provided by clients,
brokers and ceding companies, the modeling techniques and the application of such techniques, the contingent nature of business interruption exposures, the effects of any resultant demand surge on claims activity and attendant coverage issues.
The impact of the COVID-19 pandemic and related risks could materially affect our results of operations, financial position and/or liquidity.

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The COVID-19 pandemic has resulted in a global slowdown of economic activity, and the magnitude of the impact of the pandemic and the duration of the disruption and resulting decline in business activity is still highly uncertain. A prolonged COVID-19 pandemic could materially and adversely impact our own employees and operations, as well as the business operations of third parties with whom we interact. The COVID-19 pandemic has impacted our results of operations and could have a significant effect on our business, results of operations and future financial performance. We may experience higher levels of loss and claims activity in certain lines of business, and our premiums written and earned could also be adversely affected by a suppression of global commercial activity that results in a reduction in insurable assets and other exposure. Conditions of the financial markets resulting from the virus may also have a negative effect on the performance of our investment portfolio. Certain lines of our business may require additional forms of collateral in the event of a decline in the fair value of securities and benchmarks to which those repayment mechanisms are linked. The impact of the pandemic on the financial markets may also adversely affect our ability to fund through public or private equity offerings, debt financings, and through other means at acceptable terms.
Governmental, regulatory and rating actions in response to the COVID-19 pandemic may adversely affect our financial performance and our ability to conduct our businesses as we have in the past.
Actions of the federal, state and local government in the U.S. and other countries where we do business, to address and mitigate the impact of COVID-19, may adversely affect us. For example, we are potentially subject to legislative and/or regulatory action that seeks to retroactively mandate coverage for losses which our insurance policies were not designed or priced to cover. There is proposed legislationin some states to require insurers to cover business interruption claims retroactively irrespective of terms, exclusions or other conditions included in the policies that would otherwise preclude coverage. Some proposed bills would require policies providing business interruption coverage to cover losses prospectively for pandemic-related losses. Insurance regulators in some states will not approve policy exclusions for losses from COVID-19, viruses or pandemics. In addition, overa number of states have instituted, and other states are considering instituting, changes designed to effectively expand workers' compensation coverage by creating presumptions of compensability of claims for certain types of workers. Regulatory restrictions or requirements could also impact pricing, risk selection and our rights and obligations with respect to our policies and insureds, including our ability to cancel policies, our ability to increase rates or our right to collect premiums. Some state regulators have issued orders to review insurers’ rates to determine whether
premium refunds are required, and regulators in other states could take similar actions. Many insurers, including us, have also voluntarily provided, and may further provide, premium refunds to their customers. It is also possible that changes in economic conditions and steps taken by federal, state and local governments in response to COVID-19 could require an increase in taxes at the past several years, changingfederal, state and local levels, which would adversely impact our results of operations.
We expect that certain mortgage loans may default or enter forbearance programs that allow borrowers to defer mortgage payments as borrowers face challenges related to COVID-19. Defaults related to the pandemic, if not cured, could remain in our defaulted loan inventory for a protracted period of time including due to foreclosure moratoria, potentially resulting in higher frequency (claim rate) and severity (amount of the claim) for those loans that ultimately result in a claim. Accordingly, extended or extensive forbearance programs, foreclosure moratoria and other changes in regulations or laws may adversely impact our mortgage insurance operations.
Under the GSEs’ PMIERs financial requirements, eligible insurers are required to hold additional risk-based required assets for delinquent mortgages. However, this amount is reduced for mortgages backed by a property located in a FEMA Declared Major Disaster Area, among other requirements. On June 30, 2020, as amended on September 29, 2020, and December 4, 2020, the GSEs published guidance clarifying the applicability of the reduced delinquent loan charges on loans with their first missed payments occurring between March 1, 2020 and March 31, 2021 in response to a hardship related to COVID-19. Additionally, through June 30, 2021, the GSEs have temporarily required eligible insurers to obtain prior approval of dividends or entering into any new arrangements or altering any existing arrangements under tax sharing and intercompany expense-sharing agreements. In addition, the rating agencies continually review the financial strength ratings assigned to the Company and its subsidiaries, and the ratings are subject to change. The COVID-19 pandemic and its impact on financial results and condition, could cause one or more of the rating agencies to downgrade the ratings assigned to the Company and its subsidiaries. We expect the pandemic to result in a material increase in new defaults as borrowers fail to make timely payments on their mortgages, including as a result of increases in unemployment and entering mortgage forbearance programs that allow borrowers to defer mortgage payments, which may have an adverse impact on our results or operations. In addition, defaults related to the pandemic, if not cured, could remain in our defaulted loan inventory for a protracted period of time including due to foreclosure moratoria, potentially resulting in higher frequency (claim rate) and severity (amount of the claim) for those loans that ultimately result in a claim. Accordingly, extended or extensive forbearance programs,

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foreclosure moratoria and other changes in regulations or laws may adversely impact our mortgage insurance segment.
Climate change, as well as increasing regulation in the area of climate change, may adversely affect our business, financial condition and results of operations.
Changing weather patterns and climatic conditions, such as global warming, have added to the unpredictability and frequency of natural disasters in certain parts of the world and created additional uncertainty as to future trends and exposures. Although the loss experience of catastrophe insurers and reinsurers has historically been characterized as low frequency, there is a growing consensus today that climate change increases the frequency and severity of extreme weather events and, in recent years, the frequency of major catastrophes appears to have increased. increased, and may continue to increase in the future.
Claims for catastrophic events, or an unusual frequency of smaller losses in a particular period, could expose us to large losses, cause substantial volatility in our results of operations and could have a material adverse effect on our ability to write new business if we are not able to adequately assess and reserve for the increased frequency and severity of catastrophes resulting from these environmental factors. Additionally, catastrophic events could result in increased credit exposure to reinsurers and other counterparties we transact business with, declines in the value of investments we hold and significant disruptions to our physical infrastructure, systems and operations. Climate change-related risks may also specifically adversely impact the value of the securities that we hold. The effects of climate change could also lead to increased credit risk of other counterparties we transact business with, including reinsurers.
Changes in security asset prices may impact the value of our fixed income, real estate and commercial mortgage investments, resulting in realized or unrealized losses on our invested assets. These risks are not limited to, but can include: (i) changes in supply/demand characteristics for fossil fuels (e.g., coal, oil, natural gas); (ii) advances in low-carbon technology and renewable energy development; and (iii) effects of extreme weather events on the physical and operational exposure of industries and issuers, and the transition that these companies make towards addressing climate risk in their own businesses.
However, we cannot predict how legal, regulatory and/or social responses to concerns around global climate change may impact our business. We attempt to manage our exposure to such events through the use of underwriting controls, risk models, and the purchase of third-party reinsurance. Underwriting controls can include more restrictive underwriting criteria such as higher premiums and deductibles, or losses retained, and more specifically
excluded policy risks. Our deductible in connection with a catastrophic event is determined by market capacity, pricing conditions and surplus preservation. There can be no assurance that our reinsurance coverage and other measures taken will be sufficient to mitigate losses resulting from one or more catastrophic events. As a result, the occurrence of one or more catastrophic events and the continuation and worsening of recent trends could have an adverse effect on our results of operations and financial condition.
Environmental, Social and Governance and sustainability have become major topics that encompass a wide range of issues, including climate change and other environmental risks. We are also subject to complex and changing laws, regulation and public policy debates relating to climate change which are difficult to predict and quantify and may have an adverse impact on our business. Changes in regulations relating to climate change or our own leadership decisions implemented as a result of assessing the impact of climate change on our business may result in an increase in the cost of doing business or a decrease in premiums in certain lines of business.
We could face unanticipated losses from war, terrorism, cyber-attacks, pandemics and political instability, and these or other unanticipated losses could have a material adverse effect on our financial condition and results of operations.
We have substantial exposure to unexpected, large losses resulting from future man-made catastrophic events, such as acts of war, acts of terrorism, pandemics similar to the COVID-19 pandemic and political instability. These risks are inherently unpredictable. It is difficult to predict the timing of such events with statistical certainty or estimate the amount of loss any given occurrence will generate. In certain instances, we specifically insure and reinsure risks resulting from acts of terrorism. We may also insure against risk related to cybersecurity and cyber-attacks. In addition, our exposure to cyber-attacks includes exposure to ‘silent cyber’ risks, meaning risks and potential losses associated with policies where cyber risk is not specifically included nor excluded in the policies. Even in cases where we attempt to exclude losses from terrorism, cybersecurity and certain other similar risks from some coverages written by us, we may not be successful in doing so. Moreover, irrespective of the clarity and inclusiveness of policy language, there can be no assurance that a court or arbitration panel will not limit enforceability of policy language or otherwise issue a ruling adverse to us. Accordingly, while we believe our reinsurance programs, together with the coverage provided under the Terrorism Risk Insurance Act of 2002, as amended under the Terrorism Risk Insurance Extension Act of 2005 and the Terrorism Risk Insurance Program Reauthorization Act of 2007, and amended and extended again by the Terrorism Risk Insurance Program Reauthorization Act of 2015 (“TRIPRA”TRIP”), are sufficient to reasonably limit our net losses relating to potential future terrorist attacks, we can offer no assurance that our available capital will be adequate to cover losses when they materialize. To the extent that an act of terrorism is certified by the Secretary of the Treasury and aggregate

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industry insured losses resulting from the act of terrorism exceeds the prescribed program trigger, our U.S. insurance operations may be covered under TRIPRATRIP for up to 82% for 2018, 81% for 2019 and 80% for 2020, in each case subject to a mandatory deductible of 20% of our prior year’s


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direct earned premium for covered property and liability coverages. The program trigger for calendar year 20182020 and any program year thereafter is $160 million and will increase by $20 million per year until it becomes $200 million in 2020.million. If an act (or acts) of terrorism result in covered losses exceeding the $100 billion annual limit, insurers with losses exceeding their deductibles will not be responsible for additional losses. It is not possible to completely eliminate our exposure to unforecasted or unpredictable events, and to the extent that losses from such risks occur, our financial condition and results of operations could be materially adversely affected.

Political, regulatory, legislative and industry initiatives could adversely affect our business.
Governmental authorities in the U.S. and worldwide have become increasingly interested in potential risks posed by the insurance industry as a whole, and to commercial and financial systems in general and there may be increased regulatory intervention in our industry in the future. For example, in the U.S., the federal government (including federal consumer protection authorities) has increased its scrutiny of the insurance regulatory framework in recent years, and various state legislators are considering or have enacted laws that will alter and likely increase state regulation of insurance and reinsurance companies and holding companies. The U.S. mortgage insurance industry has also been subject to increased federal and state regulatory scrutiny (including by state insurance regulatory authorities), which could generate new regulations, regulatory actions or investigations.
In the EU, Solvency II, which took effect in full on January 1, 2016, imposed economic risk-based solvency requirements across all EU Member States covering quantitative capital requirements, qualitative regulatory reviews and market discipline. Solvency II imposes significant requirements for our EU-based regulated companies which require substantial documentation and implementation effort.
The BMA has also implemented and imposed additional requirements on the commercial insurance companies it regulates, driven, in large part, by Solvency II. The European Commission has adopted a decision concluding that Bermuda meets the full equivalence criteria under Solvency II. The grant of full equivalence came into force on March 24, 2016 and applies from January 1, 2016.
While we cannot predict the exact nature, timing or scope of any possible governmental initiatives, such proposals could adversely affect our business by, among other things: providing reinsurance capacity in markets and to consumers that we target; requiring our further participation in industry pools and guaranty associations; expanding the scope of coverage under existing policies (e.g., following large disasters); further regulating the terms of insurance or reinsurance contracts; or
disproportionately benefiting the companies of one country over those of another.
In addition, increased scrutiny by insurance regulators of investments in or acquisitions of insurers or insurance holding companies by private equity firms or hedge funds may result in imposition of additional regulatory requirements and restrictions. We have in the past partnered with private equity firms in making investments and may do so in the future. This increased scrutiny may make it difficult to complete investments with private equity or hedge funds should we seek to do so.
Underwriting risks and reserving for losses are based on probabilities and related modeling, which are subject to inherent uncertainties.
Our success is dependent upon our ability to assess accurately the risks associated with the businesses that we insure and reinsure. We establish reserves for losses and loss adjustment expenses which represent estimates involvingbased on actuarial and statistical projections, at a given point in time, of our expectations of the ultimate future settlement and administration costs of losses incurred. We utilize actuarial models as well as available historical insurance industry loss ratio experience and loss development patterns to assist in the establishment of loss reserves. Most or all of these factors are not directly quantifiable, particularly on a prospective basis, and the effects of these and unforeseen factors could negatively impact our ability to accurately assess the risks of the policies that we write. Changes in the assumptions used by these models or by management could lead to an increase in our estimate of ultimate losses in the future. In addition, there may be significant reporting lags between the occurrence of the insured event and the time it is actually reported to the insurer and additional lags between the time of reporting and final settlement of claims. Unfavorable development in any of these factors could cause the level of reserves to be inadequate. In addition, the estimation of loss reserves is also more difficult during times of adverse economic and market conditions due to unexpected changes in behavior of claimants and policyholders, including an increase in fraudulent reporting of exposures and/or losses, reduced maintenance of insured properties or increased frequency of small claims. Changes in the level of inflation also result in an increased level of uncertainty in our estimation of loss reserves. As a result, actual losses and loss adjustment expenses paid willcan deviate, perhaps substantially, from the reserve estimates reflected in our financial statements.
If our loss reserves are determined to be inadequate, we will be required to increase loss reserves at the time of such determination with a corresponding reduction in our net income in the period in whichwhen the deficiency becomes known. It is possible that claims in respect of events that have occurred
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on our results of operations, in a particular period, or our financial condition in general. As a compounding factor, although most insurance contracts have policy limits, the nature of property and casualty insurance and reinsurance is such that losses and the associated expenses can exceed policy limits for a variety of reasons and could significantly exceed the premiums received on the underlying policies, thereby further adversely affecting our financial condition.
In accordance with mortgage insurance industry practice, we establish loss reserves only for loans in our existing delinquency inventory. Because our mortgage insurance reserving process does not take account of the impact of future losses from loans that are not delinquent, mortgage insurance loss reserves are not intended to be an estimate of total future losses. Our expectation of total future losses under our mortgage insurance policies in force at any period end is not reflected in our financial statements. In addition to establishing loss reserves for delinquent loans, under GAAP, we are required to establish a premium deficiency reserve for our mortgage insurance products if the amount of expected future losses for a particular product and maintenance costs for such product exceeds expected future premiums, existing reserves and the anticipated investment income. We evaluate whether a premium deficiency exists quarterly. There can be no assurance that premium deficiency reserves will not be required in future periods. If this were to occur, our results of operations and financial condition could be adversely affected.
As of December 31, 2017,2020, our consolidated reserves for unpaid losses and loss adjustment expenses, net of unpaid losses and loss adjustment expenses recoverable, were approximately $8.92$12.2 billion. Such reserves were established in accordance with applicable insurance laws and GAAP. Loss reserves are inherently subject to uncertainty. In establishing the reserves for losses and loss adjustment expenses, we have made various assumptions relating to the pricing of our reinsurance contracts and insurance policies and have also considered available historical industry experience and current industry conditions. Any estimates and assumptions made as part of the reserving process could prove to be inaccurate due to several factors, including the fact that for certain lines of business relatively limited historical information has been reported to us through December 31, 2017.2020.
The failure of any of the loss limitation methods we employ could have a material adverse effect on our financial condition or results of operations.
We seek to limit our loss exposure by writing a number of our reinsurance contracts on an excess of loss basis, adhering to maximum limitations on reinsurance written in defined geographical zones, limiting program size for each client and prudent underwriting of each program written. In the case of proportional treaties, we may seek per occurrence limitations or loss ratio caps to limit the impact of losses from any one or series of events. In our insurance operations, we seek to limit
our exposure through the purchase of reinsurance. For our U.S. mortgage insurance business, in addition to utilizing reinsurance, we have developed a proprietary risk model that simulates the maximum loss resulting from a severe economic eventsevent impacting the housing market. We cannot be certain that any of these loss limitation methods will be effective. We also seek to limit our loss exposure by geographic diversification. Geographic zone limitations involve significant underwriting judgments, including the determination of the area of the zones and the inclusion of a particular policy within a particular zone’s limits. Various provisions of our policies, negotiated to limit our risk, such as limitations or exclusions from coverage or choice of forum, may not be enforceable in the manner we intend, as it is possible that a court or regulatory authority could nullify or void an exclusion or limitation, or legislation could be enacted modifying or barring the use of these exclusions and limitations. Disputes relating to coverage and choice of legal forum may also arise.

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Underwriting is inherently a matter of judgment, involving important assumptions about matters that are inherently unpredictable and beyond our control, and for which historical experience and probability analysis may not provide sufficient guidance. No assurances can be made that these loss limitation methods will be effective and mitigate our loss exposure. One or more catastrophic events or severe economic events could result in claims that substantially exceed our expectations, or the protections set forth in our policies could be voided, which, in either case, could have a material adverse effect on our financial condition or our results of operations, possibly to the extent of eliminating our shareholders’ equity. In addition, factors such as global climate change limit the value of historical experience and therefore further limit the effectiveness of our loss limitation methods. See “Management’s Discussion and Analysis of Financial Condition and Results of OperationsCatastrophic Events and Severe Economic Events.”Events” in Item 7 for further details. Depending on business opportunities and the mix of business that may comprise our insurance, reinsurance and mortgage insurance portfolio, we may seek to adjust our self-imposed limitations on probable maximum pre-tax loss for catastrophe exposed business and mortgage default exposed business.
Adverse developments in the financial markets could have a material adverse effect on our results of operations, financial position and our businesses, and may also limit our access to capital; our policyholders, reinsurers and retrocessionaires may also be affected by such developments, which could adversely affect their ability to meet their obligations to us.
Adverse developments in the financial markets, such as disruptions, uncertainty or volatility in the capital and credit markets, may result in realized and unrealized capital losses that could have a material adverse effect on our results of operations, financial position and our businesses, and may also limit our access to capital required to operate our business. Depending on market conditions, we could incur additional realized and unrealized losses on our investment portfolio in future periods, which could have a material adverse effect on our results of operations, financial condition and business.


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Economic conditions could also have a material impact on the frequency and severity of claims and therefore could negatively impact our underwriting returns. In addition, our policyholders, reinsurers and retrocessionaires may be affected by developments in the financial markets, which could adversely affect their ability to meet their obligations to us. The volatility in the financial markets could continue to significantly affect our investment returns, reported results and shareholders’ equity.
The United Kingdom’s referendum vote in favor of leaving the EU could adversely affect us.
At a referendum in June 2016, a majority of voting U.K. citizens voted in favor of the U.K. leaving the EU (Brexit). The U.K. government invoked Article 50 of the Treaty on European Union (“Article 50”) to withdraw from the EU on March 29, 2019. There is a significant degree of uncertainty regarding how negotiations relating to the U.K.’s withdrawal and its future relationship with the EU will be conducted, as well as the potential consequences of and precise time-frame for such withdrawal and negotiations of its future relationship with the EU and any transitional measures that may apply. It is expected that the U.K.’s withdrawal from the EU will take place within two years of the U.K. government invoking Article 50. During this period and beyond, the impact of the U.K.’s withdrawal on the U.K. and European economies and the broader global economy could be significant, resulting in negative consequences, such as increased volatility and illiquidity, and potentially lower economic growth in various markets in the U.K., Europe and globally and could continue to contribute to instability in global financial and foreign exchange markets. Brexit could also have the effect of disrupting the free movement of goods, services and people between the U.K. and the EU. We anticipate that Brexit may disrupt our U.K. domiciled entities, including our Lloyd’s syndicate, and their ability to “passport” within the EU. Similarly, Brexit may disrupt the ability of our EU domiciled entities to access the U.K. markets. The full effects of Brexit are uncertain and will depend on any agreements the U.K. may make to retain access to EU markets.
The negative impact of these events on economic conditions and global markets could have an adverse effect on our business, financial condition and liquidity. For example, this crisis may cause the value of the European currencies, including the Euro and the British Pound Sterling, to further depreciate against the U.S. Dollar, which in turn could materially adversely impact assets denominated in such currencies held in our investment portfolio or results of our European book of business. In addition, the applicable legal framework and the terms of our Euro-denominated insurance policies and reinsurance agreements generally do not address withdrawal by a member state from the Eurozone or a break-up of the EU, which could create uncertainty in our payment obligations and rights under
those policies and agreements in the event that such a withdrawal or break-up does occur.
Additionally, a contagion effect of a possible default of one or more EU Member States and/or their withdrawal from the Eurozone, or the failure of financial institutions, on the global economy, including other EU Member States and our counterparties located in those countries, or a break-up of the EU could have a material adverse effect on our business, financial condition, results of operations and liquidity. As a result of Brexit, other European countries may seek to conduct referenda with respect to their continuing membership with the EU. Given these possibilities and others we may not anticipate, as well as the lack of comparable precedent, the full extent to which our business, results of operations and financial condition could be adversely affected by Brexit is uncertain.
The risk associated with underwriting treaty reinsurance business could adversely affect us.
Like other reinsurers, our reinsurance group does not separately evaluate each of the individual risks assumed under reinsurance treaties. Therefore, we are largely dependent on the original underwriting decisions made by ceding companies. We are subject to the risk that the ceding companies may not have adequately evaluated the risks to be reinsured and that the premiums ceded may not adequately compensate us for the risks we assume.
The availability of reinsurance, retrocessional coverage and capital market transactions to limit our exposure to risks may be limited, and counterparty credit and other risks associated with our reinsurance arrangements may result in losses which could adversely affect our financial condition and results of operations.
For the purposes of managingWe manage risk we useusing reinsurance, retrocessional coverage and capital markets transactions. In the normal course of business, ourOur insurance subsidiaries typically cede a portion of their premiums through pro rata, excess of loss and facultative reinsurance agreements. Our reinsurance subsidiaries purchase a limited amount of retrocessional coverage as part of their aggregate risk management program. In addition, our reinsurance subsidiaries participate in “common account” retrocessional arrangements for certain pro rata treaties. Such arrangements reduce the effect of individual or aggregate losses to all companies participating on such treaties, including the reinsurers, such as our reinsurance subsidiaries, and the ceding company. Economic conditions could also have a material impact on our ability to manage our risk aggregations through reinsurance or capital markets transactions. The availability and cost of reinsurance and retrocessional protection is subject to market conditions, which are beyond our control.conditions. As a result of such market conditions


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and otherthese factors, we may not be able to successfully mitigate risk through reinsurance and retrocessional arrangements.
Further, we are subject to credit risk with respect to our reinsurance and retrocessions because the ceding of risk to reinsurers and retrocessionaires does not relieve us of our liability to the clients or companies we insure or reinsure. We monitor the financial condition of our reinsurers and attempt to place coverages only with carriers we view as substantial and financially sound. Although we have not experienced any material credit losses to date, anAn inability of our reinsurers or
retrocessionaires to meet their obligations to us could have a material adverse effect on our financial condition and results of operations. Our losses for a given event or occurrence may increase if our reinsurers or retrocessionaires dispute or fail to meet their obligations to us or the reinsurance or retrocessional protections purchased by us are exhausted or are otherwise unavailable for any reason. In certain instances, we also require collateral to mitigate our credit risk to our reinsurers or retrocessionaires. We are at risk that losses could exceed the collateral we have obtained. Our failure to establish adequate reinsurance or retrocessional arrangements or the failure of our existing reinsurance or retrocessional arrangements to protect us from overly concentrated risk exposure could adversely affect our financial condition and results of operations.
Our relianceWe could be materially adversely affected to the extent that important third parties with whom we do business do not adequately or appropriately manage their risks, commit fraud or otherwise breach obligations owed to us.
For certain lines of our insurance business, we authorize managing general agents, general agents and other producers to write business on brokers subjectsour behalf within underwriting authorities prescribed by us. In addition, our mortgage group delegates the underwriting of a significant percentage of its primary new insurance written to certain mortgage lenders. Under this delegated underwriting program, the approved customer may determine whether mortgage loans meet our mortgage insurance program guidelines and commit us to issue mortgage insurance. We rely on the underwriting controls of these agents to write business within the underwriting authorities provided by us. Although we have contractual protections in some instances and we monitor such business on an ongoing basis, our monitoring efforts may not be adequate or our agents may exceed their credit risk.
In accordance with industry practice, we generally pay amountsunderwriting authorities or otherwise breach obligations owed on claims under our insurance and reinsurance contracts to brokers, and these brokers, in turn, pay these amounts to the clients that have purchased insurance or reinsurance from us. In some jurisdictions, if a broker failsaddition, our agents, our insureds or other third parties may commit fraud or otherwise breach their obligations to make such payment,us. Our financial condition and results of operations could be materially adversely affected by any one of these issues.
While we may remain liableconduct underwriting, financial, claims and information technology due diligence reviews and apply rigorous standards in the selection of these counterparties, there is no assurance they have provided us accurate or complete information to the insuredassess their risk or ceding insurer for the deficiency. Likewise, in certain jurisdictions, when the insured or ceding company pays the premiums for these contracts to brokers for payment to us, these premiums are considered to have been paid and the insured or ceding company will no longer be liable to us for those amounts, whether or not we have actually received the premiums from the broker. that they can manage effectively their own risks.Consequently, we assume a degree of credit and operational risk associated with our brokers. To date, we have not experienced anyof those parties, and a material failure of their risks may result in material losses relatedor damage to this credit risk.us.

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Emerging claim and coverage issues, including issues relating to the COVID-19 pandemic, may adversely affect our business.
As industry practices and legal, judicial, social and other environmental conditions change, unexpected and unintended issues related to claims and coverage may emerge, including new or expanded theories of liability. These or other changes could impose new financial obligations on us by extending coverage beyond our underwriting intent or otherwise require us to make unplanned modifications to the products and services that we provide, or cause the delay or cancellation of products and services that we provide. In some instances, these changes may not become apparent until sometime after we have issued insurance or reinsurance contracts that are affected by the changes. As a result, the full extent of liability under our
insurance or reinsurance contracts may not be known for many years after a contract is issued. The effects of unforeseen developments or substantial government intervention could adversely impact our abilityus.
We have exposure to achieve our goals.
Changesa number of lines of business, such as trade credit, travel, workers compensation and property that do not contain a specific pandemic exclusion and/or explicitly afford business interruption coverage under a pandemic such as COVID-19. In May 2020, FCA commenced court proceedings against a number of insurance companies, including Arch Insurance (U.K.), to test how certain business interruption insurance policies respond to claims arising from COVID-19. The High Court in current accounting principles and practices and financial reporting requirements may materially affect our reported financial results and our reported financial condition.
Our financial statements are preparedSeptember 2020 handed down its judgment which, found in accordance with GAAP, which is periodically revisedfavor of policyholders on the majority of the key coverage issues in the representative sample of policies submitted by the Financial Accounting Standards Board (“FASB”defendants. Appeals were filed by six insurers, including Arch Insurance (U.K.), and they are subject toin January 2021, the accounting-related rules and interpretations ofSupreme Court in the SEC. We are required to adopt new and revised accounting standards implemented byU.K. broadly confirmed the FASB. Unanticipated developments in accounting practices may require us to incur considerable additional expenses to comply with such developments, particularly if we are required to prepare information relating to prior periods for comparative purposes or to applyHigh Court’s rulings on the new requirements retroactively.business wordings. The impact of changesthis case on Arch Insurance (U.K.)’s results of operations has been modest, but the larger impact of this “test case” and other litigation which may flow from it in accounting principles, practices and standards, particularly those that apply to insurance companies,the U.K. or other jurisdictions where we offer business interruption cover, cannot be quantified or predicted but may affect the calculation of net earnings, shareholders' equitywith certainty at this time. A prolonged COVID-19 pandemic could trigger further litigation on coverage and other relevant financial statement line items. In addition, such changes may cause additional volatilityclaims issues and potentially result in reported earnings, decrease the understandability ofmaterial and adverse outcomes and impact our financial results and affect the comparability of our reported results with the results of others.
business results. See
RisksRisks Relating to Our CompanyMortgage Operations for further details on our mortgage operations.
Acquisitions, such as the UGC acquisition, the addition of new lines of insurance or reinsurance business, expansion into new geographic regions and/or entering into joint ventures or partnerships expose us to risks.
We may seek, from time to time, to acquire other companies, acquire selected blocks of business, expand our business lines, expand into new geographic regions and/or enter into
joint ventures or partnerships. Such activities expose us to challenges and risks, including: integrating financial and operational reporting systems; establishing satisfactory budgetary and other financial controls; funding increased capital needs, overhead expenses or cash flow shortages that may occur if anticipated sales and revenues are not realized or are delayed, whether by general economic or market conditions or unforeseen internal difficulties; obtaining management personnel required for expanded operations; obtaining necessary regulatory permissions; and establishing adequate reserves for any acquired book of business. In addition, the value of assets acquired may be lower than expected or may diminish due to credit defaults or changes in interest rates; the liabilities assumed may be greater than expected; and assets and liabilities acquired may be subject to foreign currency exchange rate fluctuation. We may also be subject to financial exposures in the event that the sellers of the entities or business we acquire


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are unable or unwilling to meet their indemnification, reinsurance and other contractual obligations to us.
Our failure to manage successfully any of the foregoing challenges and risks may adversely impact our results of operations.
We may fail to realize the benefits anticipated to resultThe U.K.’s Withdrawal from the UGC acquisitionEU could adversely affect us.
The U.K. ceased to be a member state of the European Union in January 2020. Although the EU and U.K. reached a limited agreement in relation to certain matters, U.K. insurers and reinsurers no longer have incurred,automatic access to EU markets and vice versa. Our U.K. domiciled entities and our Lloyd’s syndicates, may continueno longer “passport” within the EU and. are now part of the U.K. temporary permissions regime which allows firms to incur, acquisition-related integration costs in connection with the UGC acquisition which may be significant.
We are integrating UGC with our existing mortgage operations. It is possible that the integration process could resultoperate in the lossU.K. for a limited period while they seek authorization from the U.K. regulators. While we have implemented changes in our operations to accommodate Brexit, the full extent to which our business, operations and financial condition could be adversely affected by Brexit is uncertain. The impact of key employees, the disruption of each company’s ongoing businesses, tax costs or inefficiencies, or inconsistenciesU.K.’s withdrawal on the U.K. and European economies and the broader global economy could be significant, resulting in standards, controls,increased volatility and potentially lower economic growth and instability in the financial and foreign exchange markets.
Our information technology systems proceduresmay be unable to meet the demands of customers and policies,our workforce.
Our information technology systems service our insurance portfolios. Accordingly, we are highly dependent on the effective operation of these systems. While we believe that the systems are adequate to service our insurance portfolios, there can be no assurance that they will operate in all manners in which we intend or possess all of the functionality required by customers currently or in the future.

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Our customers, especially our mortgage insurance customers, require that we conduct our business in a secure manner, electronically via the Internet or via electronic data transmission. We must continually invest significant resources in establishing and maintaining electronic connectivity with customers. In order to integrate electronically with customers in the mortgage insurance industry, we require electronic connections between our systems and those of the industry's largest mortgage servicing systems and leading loan origination systems. Our mortgage group currently possesses connectivity with certain of these external systems, but there is no assurance that such connectivity is sufficient and we are continually undertaking new electronic integration efforts with third-party loan servicing and origination systems. We also rely on electronic integrations in our insurance operations with third parties and customers.Our business, financial condition and operating results may be adversely affected if we do not possess or timely acquire the requisite set of electronic integrations necessary to keep pace with the technological demands of customers.
The COVID-19 pandemic has placed increased and unanticipated demands on our IT systems in use by our customers and our workforce as much of the general workforce continues to work remotely.Remote working may increase the risk of cyber security attacks or other data security incidents.There is no assurance that we will be able to respond effectively to all of the increased and varied demands on our IT systems during a prolonged pandemic.
Technology breaches or failures, including, but not limited to, those resulting from a malicious cyber attack on us or our business partners and service providers, could disrupt or otherwise negatively impact our business and/or expose us to litigation.
We rely on information technology systems to process, transmit, store and protect the electronic information, financial data and proprietary models that are critical to our business. Furthermore, a significant portion of the communications between our employees and our business partners and service providers depends on information technology and electronic information exchange. Like all companies, our information technology systems are vulnerable to data breaches, interruptions or failures due to events that may be beyond our control, including, but not limited to, natural disasters, power outages, theft, terrorist attacks, computer viruses, hackers, errors in usage or through social engineering or phishing and general technology failures.Security breaches by third parties could expose us to the loss or misuse of our information, litigation, financial losses and potential liability. In addition, cyber incidents that impact the availability, reliability, speed, accuracy or other proper functioning of these systems could have a significant
negative impact on our operations and possibly our results. A cyber incident could also result in a violation of applicable privacy, data protection or other laws, damage our reputation, cause a loss of customers, adversely affect our stock price, cause us to incur remediation costs, increased insurance premiums, and/or give rise to monetary fines and penalties, any of which could adversely affect our abilitybusiness.
We outsource certain technology and business process functions to achieve the anticipated benefits of the UGC acquisitionthird parties and could harm our financial performance and results of operations.
Although we anticipate achieving additional synergies in connection with the UGC acquisition, we also expect to incur additional costs to implement such cost savings measures. We cannot identify the timing, nature and amount of all such charges as of the date of this report. The significant transaction costs and acquisition-related integration costs could materially adversely affect our results of operationsmay continue do so in the period in which such charges are recorded or our cash flow in the period in which any related costs are actually paid. Although we believe that the elimination of duplicative costs, as well as the realization of other efficienciesfuture. This practice exposes us to increased risks related to data security, service disruptions or the integration of UGC, will offset incremental transaction and acquisition-related costs over time, this net benefit may not be achieved in the near term, or at all. We have identified some, but not all, of the actions necessary to achieve our anticipated cost and operational savings. Accordingly, the cost and operational savings may not be achievable in our anticipated amount or timeframe or at all. Investors should not place undue reliance on the anticipated benefits of the UGC acquisition in making their investment decision.
The UGC acquisition may expose us to unknown liabilities.
Because we acquired all the outstanding equity interests of UGC, our acquisition will generally be subject to all of UGC’s liabilities. If there are unknown liabilities or other obligations, including contingent liabilities, our business could be materially affected. We may learn additional information about UGC that adversely affects us, such as unknown liabilities, issues that could affect our ability to comply with the Sarbanes-Oxley Act of 2002 or issues that could affect our ability to comply with other applicable laws.
The ultimate performance of the Arch MI U.S. mortgage insurance portfolio remains uncertain.
Arch MI U.S. had risk in force of approximately $64.9 billion, before external reinsurance, as of December 31, 2017, including $6.0 billion of risk in force originated in 2008 and prior. The presence of multiple higher-risk characteristics in a loan materially increases the likelihood of a claim on such a loan unless there are other characteristics to mitigate the risk. The mix of business in our insured loan portfolio may affect losses and remain uncertain. 
The frequency and severity of claims we incur will be uncertain and will depend largely on general economic factors outsideeffectiveness of our control including, among others, changessystem, which could result in unemployment, home pricesmonetary and interest rates in the U.S. Deteriorating economic conditions in the U.S. could adversely affect the performance ofreputational damage or harm to our acquired U.S. mortgage insurance portfolio and could adversely affect our results of operations and financial condition.
Generally, we cannot cancel mortgage insurance coverage or adjust renewal premiums during the life of a mortgage insurance policy. As a result, higher than anticipated claims generally cannot be offset by premium increases on policies in force or mitigated by our non-renewal or cancellation of insurance coverage. The premiums charged on the acquired UGC insured loan portfolio, and the associated investment income, may not be adequate to compensate us for the risks and costs associated with the insurance coverage provided to customers.competitive position.
A downgrade in our ratings or our inability to obtain a rating for our operating insurance and reinsurance subsidiaries may adversely affect our relationships with clients and brokers and negatively impact sales of our products.
Third-party rating agencies, such as A.M. Best, assess and rate the financial strength of insurers and reinsurers based upon criteria established by the rating agencies, which criteria are subjectSimilar to change. Ratings are an important factor in establishing the competitive position of insurance and reinsurance companies. Insureds, ceding insurers, brokers and reinsurance intermediaries use these ratings as one measure by which to assess the financial strength and quality of insurers and reinsurers. These ratings are often an important factor in the decision by an insured, ceding insurer, broker or intermediary of whether to place business withour competitors, a particular insurance or reinsurance provider.
The financial strength ratings of our operating insurance and reinsurance subsidiaries are subject to periodic review as rating agencies evaluate us to confirm that we continue to meet their criteria for ratings assigned to us by them. Such ratings may be revised downward or revoked at the sole discretion of such ratings agencies in response to a variety of factors, including a minimum capital adequacy ratio, management, earnings,


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capitalization and risk profile. For further information on our financial strength and/or issuer ratings, see “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Liquidity and Capital Resources.” We can offer no assurances that our ratings will remain at their current levels or that any of our ratings which under review or watch by ratings agencies will remain unchanged. We believe it is possible that rating agencies may heighten the level of scrutiny they apply when analyzing companies in our industry, may increase the frequency and scope of their reviews, may request additional information from the companies that they rate (including additional information regarding the valuation of investment securities held), and may adjust upward the capital and other requirements employed in their models for maintenance of certain rating levels.
A ratings downgrade or the potential for such a downgrade, or failure to obtain a necessary rating, could adversely affect our relationships with agents, brokers, wholesalers, intermediaries, clients and other distributors of our existing products and services, as well as new sales of our products and services. In addition, under certainSome of the reinsurance agreements assumed by our reinsurance operations upon the occurrence ofinclude provisions that a ratings downgrade or other specified triggering event with respect to our reinsurance operations, such as a reduction in surplus by specified amounts during specified periods, provide our ceding company clients may be provided with certain rights, including, among other things, the right to terminate the subject reinsurance agreement and/or to require that our reinsurance operationsus to post additional collateral. Any ratings downgrade or failure to obtain a necessary rating could adversely affect our ability to compete in our markets, could cause our premiums and earnings to decrease and could have a material adverse impact on our financial condition and results of operations. In addition,some cases, a downgrade in ratings of certain of our operating subsidiaries would in certain casesmay constitute an event of default under our credit facilities. See “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Contractual Obligations and Commercial Commitments—Letter of Credit and Revolving Credit Facilities” for a discussion of our credit facilities.
We can offer no assurances that our ratings will remain at their current levels or that any of our ratings which are under review or watch by ratingratings agencies will remain unchanged.
Our success will depend on our ability to maintain and enhance effective operating procedures and internal controls and our ERM program.
Operational risk and losses can result from, among other things, fraud, errors, failure to document transactions properly or to obtain proper internal authorization, failure to comply with regulatory requirements, information technology failures, failure to appropriately transition new hires or external events.
We continue to enhance our operating procedures and internal controls (including information technology initiatives and controls over financial reporting) to effectively support our business and our regulatory and reporting requirements. Our management does not expect that our disclosure controls or our internal controls will prevent all errors and all fraud. A control system, no matter how well conceived and operated, can provide only reasonable, not absolute, assurance that the objectives of the control system are met. Further, the design of a control system must reflect the fact that there are resource constraints, and the benefits of controls must be considered relative to their costs. As a result of the inherent limitations in all control systems, no evaluation of controls can provide absolute assurance that all control issues and instances of fraud, if any, within the company have been detected. These inherent limitations include the realities that judgments in decision making can be faulty, and that breakdowns can occur because of simple error or mistake. Additionally, controls can be circumvented by the individual acts of some persons or by collusion of two or more people. The design of any system of controls also is based in part upon certain assumptions about the likelihood of future events, and there can be no assurance that any design will succeed in achieving its stated goals under all potential future conditions; over time, controls may become inadequate because of changes in conditions, or the degree of compliance with the policies or procedures may deteriorate. As a result of the inherent limitations in a cost-effective control system, misstatement due to error or fraud may occur and not be detected. Accordingly, our disclosure controls and procedures are designed to provide reasonable, not absolute, assurance that our goals are met. Any ineffectiveness in our controls or procedures could have a material adverse effect on our business.
The NAIC has increased its focus on risks within an insurer’s holding company system that may pose enterprise risk to the insurer. In 2010, the NAIC adopted amendments to its Model Insurance Holding Company System Regulatory Act and Regulation, which include, among other amendments, a requirement for the ultimate controlling person to file an enterprise risk report. In 2012, the NAIC adopted the ORSA Model Act, which requires domestic insurers to maintain a risk management framework and establishes a legal requirement for domestic insurers to conduct an ORSA in accordance with the NAIC’s ORSA Guidance Manual. The ORSA Model Act also provides that, no more than once a year, an insurer’s domiciliary regulator may request that an insurer submit an ORSA summary report, or any combination of reports that together contain the information described in the ORSA Guidance Manual, applicable to the insurer and/or the insurance group of which it is a member. We operate within an ERM framework designed to assess and monitor our risks. However, there can be no assurance that we can effectively review and monitor all risks or that all of our employees will operate within the ERM framework. There can be no assurance that our ERM framework


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will result in us accurately identifying all risks and accurately limiting our exposures based on our assessments.
Our business is dependent upon insurance and reinsurance brokers and intermediaries, and the loss of important broker relationships could materially adversely affect our ability to market our products and services.
We market our insurance and reinsurance products primarily through brokers and intermediaries. We derive a significant portion of our business from a limited number of brokers. During 2017, approximately 11.3% and 10.7% of our gross premiums written were generated from or placed by Aon Corporation and its subsidiaries and Marsh & McLennan Companies and its subsidiaries, respectively. No other broker and no one insured or reinsured accounted for more than 10% of gross premiums written for 2017. Some of our competitors have higher financial strength ratings, offer a larger variety of products, set lower prices for insurance coverage, offer higher commissions and/or have had longer term relationships with the brokers we use than we have. This may adversely impact our ability to attract and retain brokers to sell our insurance products or brokers may increasingly promote products offered by other companies. The failure or inability of brokers to market our insurance products successfully, or loss of all or a substantial portion of the business provided by these brokers could have a material adverse impact on our business, financial condition and results of operations.
We could be materially adversely affected to the extent that managing general agents, general agents and other producers exceed their underwriting authorities or if our agents, our insureds or other third parties commit fraud or otherwise breach obligations owed to us.
For certain business conducted by our insurance group, following our underwriting, financial, claims and information technology due diligence reviews, we authorize managing general agents, general agents and other producers to write business on our behalf within underwriting authorities prescribed by us. In addition, our mortgage group delegates the underwriting of a significant percentage of its primary new insurance written to certain mortgage lenders. Under this delegated underwriting program, the approved customer may determine whether mortgage loans meet our mortgage insurance program guidelines and commit us to issue mortgage insurance. We rely on the underwriting controls of these agents to write business within the underwriting authorities provided by us. Although we monitor such business on an ongoing basis, our monitoring efforts may not be adequate or our agents may exceed their underwriting authorities or otherwise breach obligations owed to us. In addition, our agents, our insureds or other third parties may commit fraud or otherwise breach their obligations to us. To the extent that our agents, our insureds or other third parties exceed their underwriting authorities, commit fraud or otherwise breach obligations owed to us in the
future, our financial condition and results of operations could be materially adversely affected.
We are exposed to credit risk in certain of our business operations.
In addition to exposure to credit risk related to our investment portfolio, reinsurance recoverables and reliance on brokers and other agents (each discussed elsewhere in this section), we are exposed to credit risk in other areas of our business related to policyholders. We are exposed to credit risk in our insurance group’s surety unit where we guarantee to a third party that our policyholder will satisfy certain performance or financial obligations. If our policyholder defaults, we may suffer losses and be unable to be reimbursed by our policyholder. We are exposed to credit risk in our insurance group’s construction and national accounts units where we write large deductible insurance policies. Under these policies, we are typically obligated to pay the claimant the full amount of the claim (shown as “contractholder payables” on our consolidated balance sheets). We are subsequently reimbursed by the policyholder for the deductible amount (shown as “contractholder receivables” on our consolidated balance sheets), which can be a set amount per claim and/or an aggregate amount for all covered claims. As such, we are exposed to credit risk from the policyholder. We are also exposed to credit risk from policyholders on smaller deductibles in other insurance group lines, such as healthcare and excess and surplus casualty. Additionally, we write retrospectively rated policies (i.e., policies in which premiums are adjusted after the policy period based on the actual loss experience of the policyholder during the policy period). In this instance, we are exposed to credit risk to the extent the adjusted premium is greater than the original premium. While we generally seek to mitigate this risk through collateral agreements that require the posting of collateral in such forms as cash and letters of credit from banks, our efforts to mitigate the credit risk that we have to our policyholders may not be successful. Although we have not experienced any material credit losses to date, an increased inability of our policyholders to meet their obligations to us could have a material adverse effect on our financial condition and results of operations.
Our investment performance may affect our financial results and ability to conduct business.
Our operating results depend in part on the performance of our investment portfolio. A significant portion of cash and invested assets held by Arch consists of fixed maturities (75.1% as of December 31, 2017). Although our current investment guidelines and approach stress preservation of capital, market liquidity and diversification of risk, our investments are subject to market-wide risks and fluctuations. In addition, we are subject to risks inherent in particular securities or types of securities, as well as sector concentrations. Changing market conditions could materially affect the future valuation of


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securities in our investment portfolio, which could cause us to impair some portion of those securities. We may not be able to realize our investment objectives, which could have a material adverse effect on our financial results. In the event that we are unsuccessful in correlating our investment portfolio with our expected insurance and reinsurance liabilities, we may be forced to liquidate our investments at times and prices that are not optimal, which could have a material adverse effect on our financial results and ability to conduct our business.
Foreign currency exchange rate fluctuation may adversely affect our financial results.
We write business on a worldwide basis, and our results of operations may be affected by fluctuations in the value of currencies other than the U.S. Dollar. The primary foreign currencies in which we operate are the Euro, the British Pound Sterling, the Australian Dollar and the Canadian Dollar. Changes in foreign currency exchange rates can reduce our revenues, increase our liabilities and costs and cause fluctuations in the valuation of our investment portfolio. We may therefore suffer losses solely as a result of exchange rate fluctuations. In order to mitigate our exposure to foreign currency fluctuations in our net insurance liabilities, we have invested and expect to continue to invest in securities denominated in currencies other than the U.S. Dollar. In addition, we may replicate investment positions in foreign currencies using derivative financial instruments. Net foreign exchange losses, excluding amounts reflected in the ‘other’ segment, were $113.3 million for 2017, compared to gains of $31.4 million for 2016 and $62.6 million for 2015. Changes in the value of investments due to foreign currency rate movements are reflected as a direct increase or decrease to shareholders' equity and are not included in the statement of income. We have chosen not to hedge certain currency risks on capital contributed to certain subsidiaries, including to Arch Insurance Europe held in British Pound Sterling, and may continue to choose not to hedge our currency risks. There can be no assurances that arrangements to match projected liabilities in foreign currencies with investments in the same currencies or derivative financial instruments will mitigate the negative impact of exchange rate fluctuations, and we may suffer losses solely as a result of exchange rate fluctuations.
We may be adversely affected by changes in economic conditions, including interest rate changes.
Our operating results are affected by, and we are exposed to, significant financial and capital markets risk, including changes in interest rates, real estate values, foreign currency exchange rates, market volatility, the performance of the economy in general, the performance of our investment portfolio and other factors outside our control. Interest rates are highly sensitive to many factors, including the fiscal and monetary policies of the U.S. and other major economies, inflation, economic and political conditions and other factors beyond our control.
Although we attempt to take measures to manage the risks of investing in changing interest rate environments, we may not be able to mitigate interest rate sensitivity effectively. Despite our mitigation efforts, an increase in interest rates could have a material adverse effect on our book value.
Our investment portfolio includes residential mortgage backed securities (“RMBS”). As of December 31, 2017, RMBS constituted approximately 1.7% of cash and invested assets held by Arch. As with other fixed income investments, the fair value of these securities fluctuates depending on market and other general economic conditions and interest rate trends. In periods of declining interest rates, mortgage prepayments generally increase and RMBS are prepaid more quickly, requiring us to reinvest the proceeds at the then current market rates. Conversely, in periods of rising rates, mortgage prepayments generally fall, preventing us from taking full advantage of the higher level of rates. The residential mortgage market in the U.S has experienced a variety of difficulties in certain underwriting periods and is only recently recovering from a period of severe home price depreciation. It is uncertain whether this recovery will continue. A decline or an extended flattening in residential property valuespossible that rating agencies may result in additional increases in delinquencies and losses on residential mortgage loans generally, especially with respect to any residential mortgage loans where the aggregate loan amounts (including any subordinate loans) are close to or greater than the related property values. These developments may have a significant adverse effect on the prices of loans and securities, including those in our investment portfolio. The situation continues to have wide ranging consequences, including downward pressure on economic growth and the potential for increased insurance and reinsurance exposures, which could have an adverse impact on our results of operations, financial condition, business and operations.
Mortgage insurance losses result when a borrower becomes unable to continue to make mortgage payments and the home of such borrower cannot be sold for an amount that covers unpaid principal and interest and the expenses of the sale. Deteriorating economic conditions increase the likelihood that borrowers will have insufficient income to pay their mortgages and can adversely affect housing values. In addition, natural disasters or other catastrophic events could result in increased claims if such events adversely affected the employment and income of borrowers and the value of homes. Any of these events or deteriorating economic conditions could cause our mortgage insurance losses to increase and adversely affect our results of operations and financial condition. See “Management’s Discussion and Analysis of Financial Condition and Results of OperationsCatastrophic Events and Severe Economic Events.”
Our portfolio includes commercial mortgage backed securities (“CMBS”). At December 31, 2017, CMBS constituted approximately 2.8% of cash and invested assets held by Arch.


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The commercial real estate market may experience price deterioration, which could lead to delinquencies and losses on commercial real estate mortgages.
In addition, in each year, a significant portion of our mortgage insurance premiums will be from mortgage insurance written in prior years. The length of time insurance remains in force, referred to as persistency, is a significant driver of mortgage insurance revenues. Factors affecting persistency include: current mortgage interest rates compared to those rates on mortgages subject to our insurance in force, which affects the likelihood of the insurance in force to be subject to cancellation due to borrower refinancing; the amount of home equity, as homeowners with more equity in their homes can generally more readily move to a new residence or refinance their existing mortgage; and mortgage insurance cancellation policies of mortgage investors and the cancellation of borrower-paid mortgage insurance, either upon request of the borrower or as required by law based upon the amortization of the loan. If these or other factors cause the length of time our mortgage insurance policies remain in force to decline, our mortgage insurance revenues could be adversely affected.
Significant, continued volatility in financial markets, changes in interest rates, a lack of pricing transparency, decreased market liquidity, declines in equity prices and the strengthening or weakening of foreign currencies against the U.S. Dollar, individually or in tandem, could have a material adverse effect on our results of operations, financial condition or cash flows through realized losses, impairments and changes in unrealized positions.
The determination of the amount of allowances and impairments taken on our investments is highly subjective and could materially impact our results of operations or financial position.
On a quarterly basis, we perform reviews of our investments to determine whether declines in fair value below the cost basis are considered other-than-temporary in accordance with applicable accounting guidance regarding the recognition and presentation of other-than-temporary impairments. The process of determining whether a security is other-than-temporarily impaired requires judgment and involves analyzing many factors. These factors include: an analysis of the liquidity, business prospects and overall financial condition of the issuer; the time period in which there was a significant decline in value; the significance of the decline; and the analysis of specific credit events. We evaluate the unrealized losses of our equity securities by issuer and determine if we can forecast a reasonable period of time by which the fair value of the securities would increase and we would recover our cost. If we are unable to forecast a reasonable period of time in which to recover the cost of our equity securities, we record a net impairment loss in earnings equivalent to the entire unrealized loss. There can be no assurance that our management has
accurately assessedheighten the level of impairments taken and allowances reflectedscrutiny they apply when analyzing companies in our financial statements. Furthermore, additional impairmentsindustry and may need to be taken or allowances providedadjust upward the capital and other requirements employed in their models for in the future. Historical trends may not be indicativemaintenance of future impairments or allowances. Further, rapidly changing and unpredictable credit and equity market conditions could materially affect the valuation of securities carried at fair value as reported within our consolidated financial statements and the period-to-period changes in value could vary significantly. Decreases in value could have a material adverse effect on our financial condition and results of operations.
Certain of our investments are illiquid and are difficult to sell, or to sell in significant amounts at acceptable prices, to generate cash to meet our needs.
Our investments in certain securities, including certain fixed income and structured securities, investments in funds accounted for using the equity method, other alternative investments and strategic investments in joint ventures such as Watford Re, Premia Re and others, may be illiquid due to contractual provisions or investment market conditions. If we require significant amounts of cash on short notice in excess of anticipated cash requirements, then we may have difficulty selling these investments in a timely manner or may be forced to sell or terminate them at unfavorable values.
We may require additional capital or credit in the future, which may not be available or may only be available on unfavorable terms.
The capital requirements of our businesses depend on many factors, including regulatory and rating agency requirements, the performance of our investment portfolio, our ability to write new business successfully, the frequency and severity of catastrophe events and our ability to establish premium rates and reserves at levels sufficient to cover losses. levels.We may need to raise additional funds through equity or debt financings. Any equity or debt financing, if available at all, may be on terms that are unfavorable to us. Equity financings could be dilutive to our existing shareholders and could result in the issuance of securities that have rights, preferences and privileges that are senior to those of our outstanding securities. If we are not able to obtain adequate capital, our business, results of

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operations and financial condition could be adversely affected. See “Management’s Discussion“Capital Resources” in Item 7 for further details.
For further information on our financial strength and/or issuer ratings, see “Ratings” in Item 1. For further information on our letter of credit facilities, see the Letter of Credit and AnalysisRevolving Credit Facilities section of Financial Condition“Contractual Obligations and Results of Operations—Financial Condition, Liquidity and Capital Resources—Liquidity and Capital Resources.”
Our success has been, and will continue to be, dependentdepend on our ability to retainmaintain and enhance effective operating procedures and internal controls and our enterprise risk management (“ERM”) program.
We operate within an ERM framework designed to assess and monitor our risks. Operational risk and losses can result from, among other things, fraud, errors, failure to document transactions properly or to obtain proper internal authorization, failure to comply with regulatory requirements, information technology or information security failures and failure to train employees appropriately or adequately. We continuously enhance our operating procedures and internal controls to effectively support our business and our regulatory and reporting requirements. As a result of the servicesinherent limitations in all control systems, no evaluation of controls can provide absolute assurance that all control issues and instances of fraud, if any, within the company have been detected. These inherent limitations include the realities that judgments in decision making can be faulty, and that breakdowns can occur because of simple error or mistake or circumvention of controls. There can be no assurance that any control system will succeed in achieving its stated goals under all potential future conditions. Any ineffectiveness in our controls or procedures could have a material adverse effect on our business. For further information on our ERM framework, see “Enterprise Risk Management” in Item 1.
We are exposed to credit risk in certain of our existing key executive officersbusiness operations.
In addition to exposure to credit risk related to our investment portfolio, reinsurance recoverables and reliance on brokers and other agents, we are exposed to attractcredit risk in other areas of our business related to policyholders. We are exposed to credit risk in our insurance group’s surety unit where we guarantee to a third party that our policyholder will satisfy certain performance or financial obligations. If our policyholder defaults, we may suffer losses and retain additional qualified personnel


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be unable to be reimbursed by our policyholder. We are also exposed to credit risk from policyholders on smaller deductibles in the future. The pool of talent from which we actively recruit is limited.other insurance group lines, such as healthcare and excess and surplus casualty. Although to date, we have not experienced difficultiesany material credit losses to date, an increased inability of our policyholders to meet their obligations to us could have a
material adverse effect on our financial condition and results of operations. See note 3, Significant Accounting Policy.
Our business is subject to applicable laws and regulations relating to economic trade sanctions and foreign bribery laws, the violation of which could adversely affect our operations.
We must comply with all applicable economic sanctions and anti-bribery laws and regulations of the U.S. and other foreign jurisdictions where we operate. U.S. laws and regulations applicable to us and others who provide insurance and reinsurance include the economic trade sanctions laws and regulations administered by the Treasury’s Office of Foreign Assets Control as well as certain laws administered by the U.S. Department of State. New sanction regimes may be initiated, or existing sanctions expanded, at any time, which can immediately impact our business activities. We are also subject to the U.S. Foreign Corrupt Practices Act and other anti-bribery laws such as the U.K. Bribery Act that generally bar corrupt payments or unreasonable gifts to foreign governments or officials. Although we have policies and controls in attractingplace designed to ensure compliance with these laws and retaining key personnel, the inabilityregulations, it is possible that an employee or intermediary could fail to attractcomply with applicable laws and retain qualified personnelregulations. In such event, we could havebe exposed to fines, criminal penalties and other sanctions. Such violations could limit our ability to conduct business and/or damage our reputation, resulting in a material adverse effect on our financial condition and results of operations.
Risks Relating to Financial Markets and Investments
Adverse developments in the financial markets could have a material adverse effect on our results of operations, financial position and our businesses, and may also limit our access to capital; our policyholders, reinsurers and retrocessionaires may also be affected by such developments, which could adversely affect their ability to meet their obligations to us.
Adverse developments in the financial markets, such as disruptions, uncertainty or volatility in the capital and credit markets, may result in realized and unrealized capital losses that could have a material adverse effect on our results of operations, financial position and our businesses, and may also limit our access to capital required to operate our business. Depending on market conditions, we could incur additional realized and unrealized losses on our investment portfolio in future periods, which could have a material adverse effect on our results of operations, financial condition and business. Economic conditions could also have a material impact on the frequency and severity of claims and therefore could negatively impact our underwriting returns. In addition, our underwriting staff is critical to our successpolicyholders, reinsurers and retrocessionaires may be affected by developments in the productionfinancial markets, which could adversely affect their ability

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to meet their obligations to us. The volatility in the financial markets could continue to significantly affect our investment returns, reported results and shareholders’ equity.
The capital requirements of our businesses depend on many factors, including regulatory and rating agency requirements, the performance of our investment portfolio, our ability to write new business successfully, the frequency and severity of catastrophe events and our ability to establish premium rates and reserves at levels sufficient to cover losses.
Disruption to the financial markets and the general economic downturn resulting from COVID-19 may adversely and materially impact our investments, financial condition and results of operation.

Disruption in the financial markets and the downturn in global economic activity resulting from the COVID-19 pandemic could adversely and materially affect the performance of our investment portfolio. Significant, continued volatility in financial markets, changes in interest rates, increases in credit spreads, a lack of pricing transparency, decreased market liquidity, declines in equity prices and the strengthening or weakening of foreign currencies against the U.S. Dollar, individually or in tandem, could have a material adverse effect on our results through realized losses, impairments and changes in unrealized positions in our investment portfolio. Furthermore, issuers of the investments we hold under the equity method of accounting report their financial information to us one month to three months following the end of the reporting period. Accordingly, the adverse impact of any disruptions in global financial markets on equity method income from these investments would likely not be reflected in our current quarter results and would instead be reported in the subsequent quarter.
Our operating results depend in part on the performance of our investment portfolio. A significant portion of cash and invested assets held by Arch consists of fixed maturities (69.9% as of December 31, 2020). Although our current investment guidelines and approach stress preservation of capital, market liquidity and diversification of risk, our investments are subject to market-wide risks and fluctuations. In addition, we are subject to risks inherent in particular securities or types of securities, as well as sector concentrations. We may not be able to realize our investment objectives, which could have a material adverse effect on our financial results. In the event that we are unsuccessful in correlating our investment portfolio with our expected insurance and reinsurance liabilities, we may be forced to liquidate our investments at times and prices that are not optimal, which could have a material adverse effect on our financial results and ability to conduct our business.
Foreign currency exchange rate fluctuation may adversely affect our financial results.
We write business on a worldwide basis, and our results of operations may be affected by fluctuations in the value of currencies other than the U.S. Dollar. The primary foreign currencies in which we operate are the Euro, the British Pound Sterling, the Australian Dollar and the Canadian Dollar. In order to minimize the possibility of losses we may suffer as a result of our exposure to foreign currency fluctuations in our net insurance liabilities, we invest in securities denominated in currencies other than the U.S. Dollar. In addition, we may replicate investment positions in foreign currencies using derivative financial instruments. Changes in the value of investments due to foreign currency rate movements are reflected as a direct increase or decrease to shareholders' equity and are not included in the statement of income.
Uncertainty relating to the determination of LIBOR and the potential phasing out and replacement of LIBOR after 2021 may adversely affect our cost of capital, net investment income and mortgage reinsurance costs.
On July 27, 2017, the U.K. Financial Conduct Authority announced that it intends to end the use of LIBOR after 2021 asthe benchmark rate that many banks and issuers use to set interests in loan documents. Recognizing the need to replace LIBOR, authorities in the United States convened the Alternative Reference Rates Committee (“ARRC”) in 2014 to identify a replacement for LIBOR.In 2017, the ARRC identified the Secured Overnight Financing Rate (“SOFR”) - a combination of certain overnight repo rates, as its preferred alternative to LIBOR, and in April 2018, the Federal Reserve Bank of New York began publishing the SOFR rate. Because SOFR is an overnight risk-free rate, versus LIBOR which has various terms and an embedded credit charge, the transition from LIBOR to SOFR will require adjustments. The uncertainty of these adjustments, and the timing of when the transition will occur may adversely affect the value of and trading market for LIBOR-based securities. Moreover, the transition to SOFR from LIBOR may adversely affect the performance of our investment portfolio, our cost of capital and our cost of issuing Bellemeade mortgage risk transfer securities. While we have an internal committee focused on managing the replacement of LIBOR for our investments and operations, we do not considerbelieve that it is possible to predict how markets will respond to the transition to SOFR, or any other rate, from LIBOR on new or existing financial instruments or quantify the potential effect of our key executive officersany such event on us at this time.

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Our reinsurance subsidiaries may be required to provide collateral to ceding companies, by applicable regulators, their contracts or underwritersother commercial considerations. Their ability to conduct business could be irreplaceable,significantly and negatively affected if they are unable to do so.
Arch Re Bermuda is a registered Bermuda insurance company and is not licensed or admitted as an insurer in any jurisdiction in the lossU.S., although Arch Re Bermuda has been approved as a “certified reinsurer” in certain U.S. states that allow reduced collateral for reinsurance ceded to such reinsurers. Arch Re Bermuda's contracts generally require it to post a letter of credit or provide other security, even in U.S. states where it has been approved for reduced collateral. State credit for reinsurance rules also generally provide that certified reinsurers such as Arch Re Bermuda must provide 100% collateral in the event their certified status is “terminated” or upon the entry of an order of rehabilitation, liquidation or conservation against a ceding insurer.
Although, to date, Arch Re Bermuda has not experienced any difficulties in providing collateral when required, if we are unable to post security in the form of letters of credit or trust funds when required, the operations of Arch Re Bermuda could be significantly and negatively affected.
Risks Relating to Our Mortgage Operations
The ultimate performance of the servicesArch MI U.S. mortgage insurance portfolio remains uncertain.
The mix of business in our key executive officers or underwriters orinsured loan portfolio may affect losses. The presence of multiple higher-risk characteristics in a loan materially increases the inabilitylikelihood of a claim on such a loan unless there are other characteristics to hiremitigate the risk. The geographic mix of Arch MI U.S.’s business could increase losses and retain other highly qualified personnel in the future could delay or prevent us from fully implementing our business strategy which could affectharm our financial performance.
Our information technology systemsGenerally, we cannot cancel mortgage insurance coverage or adjust renewal premiums during the life of a mortgage insurance policy. As a result, higher than anticipated claims generally cannot be offset by premium increases on policies in force or mitigated by our non-renewal or cancellation of insurance coverage. The premiums charged, and the associated investment income, may not be unable to meet the demands of customers.
Our information technology systems service our insurance portfolios. Accordingly, we are highly dependent on the effective operation of these systems. While we believe that the systems are adequate to service ourcompensate us for the risks and costs associated with the insurance portfolios, there can be no assurance that they will operate in all manners in which we intend or possess all of the functionality required by customers currently orcoverage provided to customers. An increase in the future.number or size of claims, compared to what we anticipate, could adversely affect Arch MI U.S.’s results of operations and financial condition.
Our customers, especially our mortgage insurance customers, require thatThe frequency and severity of claims we conduct our business in a secure manner, electronically via the Internet or via electronic data transmission. We must continually invest significant resources in establishingincur is uncertain and maintaining electronic connectivity with customers. In order to integrate electronically with new customers in the mortgage insurance industry, we require electronic connections between our systems and thosewill depend largely on general economic factors outside of the industry's largest mortgage servicing systems and leading loan origination systems. Our mortgage group currently possesses connectivity with certain of these external systems, but there is no assurance that such connectivity is sufficient and we are undertaking new electronic integration efforts with third-party loan servicing and origination systems. Such efforts could significantly delay entry into certain markets or customers as the electronic integration process requires time and effort to complete. Our business, financial condition and operating results may be adversely affected if we do not possess or timely acquire the requisite set of electronic integrations necessary to keep pace with the technological demands of customers.
Technology breaches or failures, including, but not limited to, those resulting from a malicious cyber attack on us or our business partners and service providers, could disrupt or otherwise negatively impact our business and/or expose us to litigation.
We rely on information technology systems to process, transmit, store and protect the electronic information, financial data and proprietary models that are critical to our business. Furthermore, a significant portion of the communications
between our employees and our business partners and service providers depends on information technology and electronic information exchange. Like all companies, our information technology systems are vulnerable to data breaches, interruptions or failures due to events that may be beyond our control, including, but not limitedamong others, changes in unemployment, home prices and interest rates in the U.S. Deteriorating economic conditions in the U.S., potentially
due to natural disasters, power outages, theft, terrorist attacks, computer viruses, hackers, errors in usage and general technology failures. Additionally, our employees and vendors may use portable computers or mobile devices which may contain duplicate or similar informationprolonged recessionary conditions related to that in our computer systems, and these devices can be stolen, lost or damaged. Security breaches could expose us to the loss or misuse of our information, litigation and potential liability. In addition, cyber incidents that impact the availability, reliability, speed, accuracy or other proper functioning of these systems could have a significant negative impact on our operations and possibly our results. A cyber incident could also result in a violation of applicable privacy and other laws, damage our reputation, cause a loss of customers, adversely affect our stock price, cause us to incur remediation costs, increased cybersecurity protection costs and/or increased insurance premiums, and/or give rise to monetary fines and other penalties, any of which could be significant andCOVID-19, could adversely affect our business.
We believe that we have established and implemented appropriate security measures to provide reasonable assurance that our information technology systems are secure and appropriate controls and procedures to enable us to identify and respond to unauthorized access to such systems. We periodically engage third parties to evaluate and test the adequacyperformance of our security measures, controlsU.S. mortgage insurance portfolio and procedures. Despite these security measures, controls and procedures, disruptions to and breaches of our information technology systems are possible. Because we rely on our technology systems for many critical functions, including connecting with our customers, if such systems were to fail or be attacked or breached, we may experience a significant disruption in our operations and in the business we receive and process, which could adversely affect our results of operations and financial condition.
In addition, the regulatory environment surrounding information security and privacy is increasingly changing. We are subject to EU, U.S. federal, state and other foreign laws and regulations regarding the protection of personal data and information. These laws and regulations are complex and sometimes conflict. We could be subject to fines, penalties and/or regulatory enforcement actions in one or more jurisdictions if any person, including any employee, disregards or breaches, whether intentionally or negligently, controls intended to protect the confidential information of our employees or clients.


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If the volume of low down payment mortgage originations declines, or if other government housing policies, practices or regulations change, the amount of mortgage insurance we write in the U.S. could decline, which would reduce our mortgage insurance revenues.
The size of the U.S. mortgage insurance market depends in large part upon the volume of low down payment home mortgage originations. Factors affecting the volume of low down payment mortgage originations include, among others: restrictions on mortgage credit due to stringent underwriting standards and liquidity issues affecting lenders; changes in mortgage interest rates and home prices, and other economic conditions in the U.S. and regional economies; population trends, including the rate of household formation; and U.S. government housing policy.
Most recently, on December 10, 2020, the Consumer Financial Protection Bureau (“CFPB”) issued its final rule amending the general qualified mortgage (“QM”) definition and eliminated the exception that all GSEs loans were deemed QM. The General QM definition in the final rule differs from the definition of QM applicable to loans sold to FHA, creating incentives for originators to originate loans under the FHA program rather than sell loans to the GSEs. On January 14, 2021, the FHFA as conservator of the GSEs and the Department of Treasury entered into a letter agreement that further amended the senior preferred stock purchase arrangement (“PSPA”).This letter agreement, among other provisions, imposed restrictions on the amount of high risk loans that can be purchased by the GSEs. A decline in the volume of low downlow-down payment home mortgage originations or purchases by the GSEs could decrease demand for mortgage insurance, decrease our U.S. new insurance written and reduce mortgage insurance revenues.
IfChanges to the role of the GSEs in the U.S. housing market changes, or if the GSEs change other policiesto GSE eligibility requirements for mortgage insurers could negatively impact our results of operations and financial condition, or practices, the amount of mortgage insurance that we write could decline, which would reduce our mortgageoperating flexibility.
Substantially all of Arch MI U.S.’s insurance revenues.
The GSEs arewritten has been for loans sold to the beneficiaries of the significant majority of the insurance policies we issue as a result of their purchases, statutorily required or otherwise, of qualifying mortgage loans from lenders or investors.GSEs. The charters of the GSEs require credit enhancement for low down payment mortgages in order for such loans to be eligible for purchase or guarantee by the GSEs. If the charters of the GSEs were amended to change or eliminate the acceptability of private mortgage insurance, our mortgage insurance business could decline significantly.

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The premiums we charge for mortgage insurance on insured loans and the associated investment income may not be adequate to compensate for future losses from these loans.
We set premiums at the time a policy is issued based upon our expectations regarding likely performance over the life of insurance coverage. We generally cannot cancel mortgage insurance coverage or adjust renewal premiums during the life of a mortgage insurance policy. As a result, losses from higher than anticipated claims generally cannot be offset by premium increases on policies in force or mitigated by non-renewal or cancellation of insurance coverage. The premiums we charge on our insurance in force and the associated investment income may not be adequate to compensate us for the risks and costs associated with the insurance coverage provided to customers. An increase in the number or size of claims, compared to what we anticipate, could adversely affect Arch MI U.S.’s results of operations and financial condition.
New GSE eligibility requirements for mortgage insurers could require us to contribute additional capital to Arch MI U.S. in the future, and could negatively impact our results of operations and financial condition, or reduce our operating flexibility.
Substantially all of Arch MI U.S.’s insurance written has been for loans sold to the GSEs. The PMIERs which became effective December 31, 2015 and were amended by GSE Guidance Letters in December 2016 and March 2017, apply to Arch Mortgage Insurance Company and United Guaranty Residential Insurance Company, which are GSE-approved mortgage insurers (“eligible mortgage insurers”). The PMIERs impose limitations on the type of risk insured, the forms and insurance policies issued, standards for the geographic and customer diversification of risk, procedures for claims handling, acceptable underwriting practices, quality assurance, loss mitigation, claims handling, standards for certain reinsurance cessions and financial requirements, among other things. The financial requirements require a mortgage insurer’s available assets, which generally include only the most liquid assets of an insurer, to meet or exceed “minimum required assets” as of each quarter end. Our eligible mortgage insurers each satisfied the PMIERs’ financial requirements as of December 31, 2017.
In December 2017, we received a summary of proposed changes to the PMIERs that are being recommended to the FHA by the GSEs and are subject to a non-disclosure agreement with the GSEs regarding such summary. While we expect to satisfy the financial requirements under the revised PMIERs with no changes to our capital, any future increases in capital required to satisfy the PMIERs may decrease our return on capital. We expect that effectiveness of the revised PMIERs will not be earlier than the 2018 fourth quarter.
In conjunction with the acquisition of UGC and the related approval of the change of control by the GSEs, the GSEs imposed additional requirements on our eligible mortgage insurers, including maintaining capital in excess of PMIERs requirements on a consolidated basis and requiring notifications relating to certain integration activities. We cannot be sure that the capital required will not be materially higher than we anticipate or that we will be able to meet the capital requirements on an acceptable timetable, if at all. Further, to the extent that the ability to transfer capital within affiliated Arch MI U.S. companies is restricted, we may need to contribute additional capital to Arch MI U.S. to satisfy the PMIERs’ financial requirements in the future.
The PMIERs also impose additional operational requirements in areas such as claim processing, loss mitigation, underwriting, quality control, and reporting. The requirements in the PMIERs have caused us to make changes to our business practices and incur additional costs in order to achieve and maintain compliance with the PMIERs.


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While we intend to continue to comply with these requirements, there can be no assurance that the GSEs will continue to treat Arch Mortgage Insurance Company or United Guaranty Residential Insurance Company as eligible mortgage insurers. If either or both of the GSEs were to cease to consider Arch Mortgage Insurance Company or United Guaranty Residential Insurance Company as eligible mortgage insurers and, therefore, cease accepting our mortgage insurance products, our results of operations and financial condition would be adversely affected.
The mix of business we write affects Arch MI U.S.’s losses and will affect the minimum required assets Arch MI U.S. is required to maintain in order to comply with PMIERs financial requirements.
Our mortgage insurance portfolio includes loans with loan-to-value ratios exceeding 95%, loans with FICO scores below 620, adjustable rate mortgages, or ARMs, and less than A-quality loans. Even when housing values are stable or rising, we expect higher default and claim rates for high loan-to-value loans, loans with lower FICO scores, ARMs and less-than-A quality loans. Although we attempt to incorporate the higher default and claim rates associated with these loans into our underwriting and pricing models, there can be no assurance that the premiums earned and the associated investment income will adequately compensate us for future losses from these loans. From time to time, we change the types of loans that we insure and the requirements under which we insure them. In 2016 and 2017, we modestly expanded our underwriting guidelines and we may further expand such guidelines in the future.
The geographic mix of Arch MI U.S.’s business could increase losses and harm our financial performance. We are affected by economic downturns and other events in specific regions of the United States where a large portion of our U.S. mortgage insurance business is concentrated. As of December 31, 2017, 7.9% of Arch MI U.S.’s primary risk-in-force was located in Texas, 5.9% was located in California and 4.4% was located in Florida. See “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Critical Accounting Policies, Estimates and Recent Accounting Pronouncements—Mortgage Operations Supplemental Information.”
Arch MI U.S.’s minimum required assets under the PMIERs will be determined, in part, by the particular risk profiles of the loans it insures. If, absent other changes, Arch MI U.S.’s mix of business changes to include more loans with higher loan-to-value ratios or lower credit scores, it will have a higher minimum required asset amount under the PMIERs and, accordingly, be required to hold more capital in order to maintain GSE eligibility.
Potential changes Our eligible mortgage insurers each satisfied the PMIERs’ financial requirements as of December 31, 2020. While we intend to statecontinue to comply with these requirements, there can be no assurance that the GSEs will not change the PMIERs or that Arch Mortgage Insurance Company or United Guaranty Residential Insurance Company will continue as eligible mortgage insurance regulations could reduce Arch MI U.S.’s profitability and its ability to compete with credit enhancement alternatives to mortgage insurance.
The NAIC, which reviews state insurance laws and regulations, has established a Mortgage Guaranty Insurance Working Group (“Working Group”) to make recommendations to the NAIC's Financial Condition Committee regarding changes to the NAIC’s Mortgage Guaranty Insurance Model Act. The Working Group has released a draft Model Act which includes proposed changes to minimum statutory capital requirements.
insurers. If the NAIC revises the Model Act, some state legislatures are likely to enact and implement parteither or allboth of the revised provisions. While we cannot predict the effect that any NAIC recommendationsGSEs were to cease to consider Arch Mortgage Insurance Company or future legislation may have on Arch MI U.S., such changes could reduce Arch MI U.S.’s profitabilityUnited Guaranty Residential Insurance Company as eligible mortgage insurers and, its ability to compete with credit enhancement alternatives to mortgage insurance, which could adversely affect our financial condition or results of operations.
If servicers fail to adhere to appropriate servicing standards or experience disruptions to their businesses,therefore, cease accepting our mortgage insurance products, our results of operations could be adversely affected.
We depend on reliable, consistent third-party servicing of the loans that we insure. Among other things, our mortgage insurance policies require our customers and their servicers to timely submit premium and reports and utilize commercially reasonable efforts to limit and mitigate loss when a loan is in default. Without reliable, consistent third-party servicing, our insurance subsidiaries may be unable to correctly record new loans as they are underwritten, receive and process payments on insured loans and/or properly recognize and establish reserves on loans when a default exists or occurs but is not reported to us. In addition, if these servicers fail to limit and mitigate losses when appropriate, our losses may unexpectedly increase. If one or more servicers failed to adhere to these requirements, our financial results couldcondition would be adversely affected.
The implementation of the Basel III Capital Accord and FHFA’s Enterprise Capital Rule may adversely affect the use of mortgage insurance by certain banks.and CRT opportunities.
With certain exceptions, the Basel III Rules became effective on January 1, 2014. If further implementation of the Basel III Rules increases the capital requirements of banking organizations with respect to the residential mortgages we insure or does not provide sufficiently favorable treatment for the use of mortgage insurance, it could adversely affect the demand for mortgage insurance. In December 2017, the Basel Committee published final revisions to the Basel Capital Accord that willwhich is informally denominated in the U.S. as “Basel IV.” The Basel Committee expects the new rules to be fully implemented by each participating country by January 1, 2022.2027. Under thesethe revised Basel rules, banks using the standardized approach for credit risk management will determine the risk-weight for residential mortgages based on


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the loan-to-value ratio at loan origination, without consideration of mortgage insurance. UnderThe U.S. regulatory agencies have not proposed adopting the standardized approach, afterBasel IV rules on mortgage capital requirements and could determine that current U.S. rules are “at least as stringent” as the appropriate risk-weight is determined, the existence of mortgage insurance couldBasel IV provisions, and therefore do not need to be considered, but onlymodified. However, if the company issuingU.S. regulators decide to adopt the insurance has a lower risk-weight than the underlying exposure. Mortgage insurance issued by private companies would not meet this test. Therefore, under the latest Basel Capital Accord, mortgage insurance could not mitigate credit and lowerIV approach, the capital charge under the standardized approach. If the Basel Capital Accord is implemented in the United States in this form, mortgage insurancerelief benefits of MI would not lower the loan-to-value ratio of residential loans for capital purposes, and therefore may decrease the demand for this product.
Further, it is possible (but not mandated by the Basel Capital Accord) that the banking agencies and the GSEs might likewise discontinue taking mortgage insurance into account when determining a mortgage’s loan-to-value ratio for prudential (non-capital) purposes. If these developments should occur, they wouldbe diminished, which could adversely affect the demand for mortgage insuranceinsurance.
Further, a new “Basel-like” risk-based capital rule for the GSEs was adopted by the FHFA in 2020.The rule requires the GSEs to hold the greater of the risk-based capital amount or the leverage ratio. The rule limits the reduction in capital for CRTs to third parties under the risk-based capital calculation and disallows any reduction for CRT to the leverage ratio. By its terms, this rule will become fully effective only if the GSEs are released from conservatorship, though the PSPA letter agreement contractually requires compliance sooner.
If the Enterprise Capital Rule becomes fully implemented without revision, significantly higher capital requirements for the GSEs would be mandated and the opportunity for participating in CRT transactions could be reduced. This, along with the cap on certain high-risk loans in the PSPA letter agreement with Treasury, could result in higher GSE fees and potentially smaller market share for the Enterprises and could adversely impact the demand for MI policies. Additionally, the GSEs may amend PMIERs to align the capital requirements and reduce the recognition of CRT for eligible insurers. Such changes could require us to contribute additional capital to Arch MI U.S. which would adversely affectin the future and could negatively impact our U.S. mortgage insurance operations.results of operations and financial condition.
Risk Relating to Our Company and Our Shares
Some of the provisions of our bye-laws and our shareholders agreement may have the effect of hindering, delaying or preventing third party takeovers or changes in management initiated by shareholders. These provisions may also prevent our shareholders from receiving premium prices for their shares in an unsolicited takeover.
Some provisions of our bye-laws could have the effect of discouraging unsolicited takeover bids from third parties or changes in management initiated by shareholders. These provisions may encourage companies interested in acquiring us to negotiate in advance with our board of directors, since the board has the authority to overrule the operation of several of the limitations.
Among other things, our bye-laws provide: for a classified board of directors, in which the directors of the class elected at each annual general meeting holds office for a term of three years, with the term of each class expiring at successive annual general meetings of shareholders; that the number of directors is determined by the board from time to time by a vote of the majority of our board; that directors may only be removed for cause, and cause removal shall be deemed to exist only if the director whose removal is proposed has been convicted of a felony or been found by a court to be liable for gross negligence or misconduct in the performance of his or her duties; that our board has the right to fill vacancies, including vacancies created by an expansion of the board;

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and for limitations on a shareholder’s right to raise proposals or nominate directors at general meetings. Our bye-laws provide that certain provisions which may have anti-takeover effects may be repealed or altered only with prior board approval and upon the affirmative vote
of holders of shares representing at least 65% of the total voting power of our shares entitled generally to vote at an election of directors.
The bye-laws also contain a provision limiting the rights of any U.S. person (as defined in section 7701(a)(30) of the Internal Revenue Code of 1986, as amended (the “Code”)) that owns shares of Arch Capital, directly, indirectly or constructively (within the meaning of section 958 of the Code), representing more than 9.9% of the voting power of all shares entitled to vote generally at an election of directors. The votes conferred by such shares of such U.S. person will be reduced by whatever amount is necessary so that after any such reduction the votes conferred by the shares of such person will constitute 9.9% of the total voting power of all shares entitled to vote generally at an election of directors. Notwithstanding this provision, the board may make such final adjustments to the aggregate number of votes conferred by the shares of any U.S. person that the board considers fair and reasonable in all circumstances to ensure that such votes represent 9.9% of the aggregate voting power of the votes conferred by all shares of Arch Capital entitled to vote generally at an election of directors. Arch Capital will assume that all shareholders (other than specified persons) are U.S. persons unless we receive assurance satisfactory to us that they are not U.S. persons.
Moreover, most states, including states in which our subsidiaries are domiciled, have laws and regulations that require regulatory approval of a change in control of an insurer or an insurer's holding company. Where such laws apply to us and our subsidiaries, there can be no effective change in our control unless the person seeking to acquire control has filed a statement with the regulators and has obtained prior approval for the proposed change from such regulators. The usual measure for a presumptive change in control pursuant to these laws is the acquisition of 10% or more of the voting power of the insurance company or its parent, although this presumption is rebuttable. Consequently, a person may not acquire 10% or more of our common shares without the prior approval of insurance regulators in the state in which our subsidiaries are domiciled.
The bye-laws also provide that the affirmative vote of at least 66 2/3% of the outstanding voting power of our shares (excluding shares owned by any person (and such person’s affiliates and associates) that is the owner of 15% or more (a “15% Holder”) of our outstanding voting shares) shall be required for various corporate actions, including: merger or consolidation of the company into a 15% Holder; sale of any or all of our assets to a 15% Holder; the issuance of voting securities to a 15% Holder; or amendment of these provisions; provided,, however,, the supermajoritysuper majority vote will not apply to any transaction approved by the board.
The provisions described above may have the effect of making more difficult or discouraging unsolicited takeover bids from


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third parties. To the extent that these effects occur, shareholders could be deprived of opportunities to realize takeover premiums for their shares and the market price of their shares could be depressed. In addition, these provisions could also result in the entrenchment of incumbent management.
There are regulatory limitations on the ownership and transfer of our common shares.
The jurisdictions in which our insurance and reinsurance subsidiarieswhere we operate have laws and regulations
that require regulatory approval of a change in control of an insurer or an insurer's holding company. Where such laws apply to us, and our subsidiaries, there can be no effective change in our control unless the person seeking to acquire control has filed a statement with the regulators and has obtained prior approval for the proposed change from such regulators. The usual measure for a presumptive change in control pursuantchange. Certain regulators may at any time, by written notice, object to these laws is the acquisition of 10% or more of the voting power of the insurance company or its parent, although this presumption is rebuttable. Consequently, a person mayholding shares in an insurer or an insurer's holding company if it appears to the regulator that the person is not acquire 10% or more of our common shares without the prior approval of the applicable insurance regulators. These laws may discourage potential acquisition proposalsis no longer fit and may delay, deter or prevent a change in control of us, including transactions that some shareholders might considerproper to be desirable.
Our insurance and reinsurance subsidiaries are subjectsuch a holder. The regulator may require the shareholder to regulation in various jurisdictions, and failure to comply with existing regulations or material changesreduce its holding in the regulation of their operations,insurer or any investigations, inquiries or demands by government authorities, could adversely affect us.
Our insurancean insurer's holding company and reinsurance subsidiaries are subject to the laws and regulations of a number of jurisdictions worldwide, including Bermuda, the states in the U.S. in which such subsidiaries conduct business, the U.K., certain EU Member States, Canada, Switzerland, Australia, South Africa and Hong Kong. Existing laws and regulations,direct, among other things, limitthat such shareholder’s voting rights attaching to the amount of dividends that can be paid to us by our insurance and reinsurance subsidiaries, prescribe solvency and capital adequacy standards, impose restrictions on the amount and type of investments that can be held to meet solvency and capital adequacy requirements, require the maintenance of reserve liabilities, and require pre-approval of acquisitions and certain affiliate transactions. Failure to comply with these laws and regulations or to maintain appropriate authorizations, licenses, and/or exemptions under applicable laws and regulations may cause governmental authorities to preclude or suspend our insurance or reinsurance subsidiaries from carrying on some or all of their activities, place one or more of them into rehabilitation or liquidation proceedings, impose monetary penalties or other sanctions on them or our affiliates, or commence insurance company delinquency proceedings against our insurance or reinsurance subsidiaries. The application of these laws and regulations by various
governmental authorities, including authorities outside the U.S., may affect our liquidity and restrict our ability to expand our business operations through acquisitions or to pay dividends on our ordinary shares. Furthermore, compliance with legal and regulatory requirements may resultshares in significant expenses, which could have a negative impact on our profitability.
In addition to legal and regulatory requirements, the insurance and reinsurance industry has experienced substantial volatility as a result of investigations, litigation and regulatory activity by various insurance, governmental and enforcement authorities, including the SEC, concerning certain practices within the insurance and reinsurance industry. Our involvement in any investigations, litigations or regulatory activity, including any related lawsuits, would cause us to incur legal costs and, if we or any of our insurance or reinsurance subsidiaries were found to have violated any laws or regulations, we could be required to pay fines and damages and incur other sanctions, perhaps in material amounts, which could have a material negative impact on our profitability.
Any such litigation or failure to comply with applicable laws could result in the imposition of significant restrictions on our ability to do business, and could also result in suspensions, injunctions, monetary damages, fines or other sanctions, any or all of which could adversely affect our financial condition and results of operations.
If our Bermuda reinsurance subsidiary is unable to provide collateral to ceding companies, its ability to conduct business could be significantly and negatively affected.
Arch Re Bermuda is a registered Bermuda insurance company and is not licensed or admitted as an insurer in any jurisdiction in the U.S., although Arch Re Bermuda has been approved as a “certified reinsurer” in certain U.S. states that allow reduced collateral for reinsurance ceded to such reinsurers. Insurance regulations in the U.S. door an insurer's holding company shall not uniformly permit insurance companies to take credit for reinsurance obtained from unlicensed or non-admitted insurers on their statutory financial statements unless security is posted, and Arch Re Bermuda's contracts generally require it to post a letter of credit or provide other security, even in U.S. states where it has been approved for reduced collateral. Although, to date, Arch Re Bermuda has not experienced any difficulties in providing collateral when required, if we are unable to post security in the form of letters of credit or trust funds when required, the operations of Arch Re Bermuda could be significantly and negatively affected.exercisable.
Arch Capital is a holding company and is dependent on dividends and other distributions from its operating subsidiaries.
Arch Capital is a holding company whose assets primarily consist of the shares in our subsidiaries. Generally, Arch Capital depends on its available cash resources, liquid investments and


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dividends or other distributions from subsidiaries to make payments, including the payment of debt service obligations and operating expenses it may incur and any payments of dividends, redemption amounts or liquidation amounts with respect to our preferred shares and common shares, and to fund the share repurchase program. The ability of our regulated insurance and reinsurance subsidiaries to pay dividends or make distributions is subject to legislative constraints and dependent on their ability to meet applicable regulatory standards. In addition, the ability of our insurance and reinsurance subsidiaries to pay dividends to Arch Capital and to intermediate parent companies owned by Arch Capital could be constrained by our dependence on financial strength ratings from independent rating agencies. Our ratings from these agencies depend to a large extent on the capitalization levels of our insurance and reinsurance subsidiaries. We believe that Arch Capital has sufficient cash resources and available dividend capacity to service its indebtedness and other current outstanding obligations. See “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Financial Condition, Liquidity and Capital Resources—Liquidity and Capital Resources.”
The service of process and enforcement of judgments against us or our directors or officers may be difficult.
We are a Bermuda company and some of our officers and directors are residents of various jurisdictions outside the U.S. All or a substantial portion of our assets and the assets of those persons may be located outside the U.S. As a result, it may be difficult for investors to effect service of process within the U.S. upon those persons or to recover against us or those persons on judgments of U.S. courts based on civil liabilities provisions of the U.S. federal securities laws even though we have appointed National Registered Agents, Inc., New York, New York, as our agent for service of process with respect to actions based on offers and sales of securities made in the U.S. Because there is no treaty in effect between the U.S. and Bermuda providing for reciprocal recognition and enforcement of judgments of U.S. courts in civil and commercial matters, a final judgment for the payment of money rendered by a court in the U.S. based on civil liability, whether or not predicated solely upon the U.S. federal securities laws, would not be automatically enforceable in Bermuda, and there are grounds upon which Bermuda courts may not enforce judgments of U.S. courts. Further, no claim may be brought in Bermuda against us or our directors and officers for violation of U.S. federal securities laws, as such laws do not have force of law in Bermuda. A Bermuda court may, however, impose civil liability on us or our directors and officers in a suit brought in the Supreme Court of Bermuda if the facts alleged in the complaint constitute or give rise to a cause of action under Bermuda law.
Our international business is subject to applicable laws and regulations relating to sanctions and foreign corrupt practices, the violation of which could adversely affect our operations.
We must comply with all applicable economic sanctions and anti-bribery laws and regulations of the U.S. and other foreign jurisdictions where we operate, including the U.K. and the European Community. U.S. laws and regulations applicable to us include the economic trade sanctions laws and regulations administered by the Treasury’s Office of Foreign Assets Control as well as certain laws administered by the U.S. Department of State. In addition, we are subject to the Foreign Corrupt Practices Act and other anti-bribery laws such as the U.K. Bribery Act that generally bar corrupt payments or unreasonable gifts to foreign governments or officials. Although we have policies and controls in place that are designed to ensure compliance with these laws and regulations, it is possible that an employee or intermediary could fail to comply with applicable laws and regulations. In such event, we could be exposed to civil penalties, criminal penalties and other sanctions, including fines or other punitive actions. In addition, such violations could damage our business and/or our reputation. Such criminal or civil sanctions, penalties, other sanctions, and damage to our business and/or reputation could have a material adverse effect on our financial condition and results of operations.
Risk Relating to Our Shares
The market price of our common shares may experience volatility, thereby causing a potential loss of value to our investors.
The market price for our common shares may fluctuate substantially and could cause investment losses. The price of our common shares may not remain at or exceed current levels. In addition to the risk factors described herein, the following factors may have an adverse impact on the market price for our common shares: announcements by us or our competitors of acquisitions, investments or strategic alliances; changes in the value of our assets; our actual or anticipated quarterly and annual operating results; changes in expectations of future financial performance or changes in estimates of securities analysts; issuances by us of shares or other securities; sales, or the possibility or perception of future sales, by our existing shareholders; our share repurchase program; changes in general conditions in the economy, the insurance industry or the financial markets; changes in market valuation of companies in the insurance and reinsurance industry; fluctuations in stock market processes and volumes; the addition or departure of key personnel; changes in tax law; and adverse press or news announcements affecting us or the industry.


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General market conditions and unpredictable factors could adversely affect market prices for our outstanding preferred shares.
There can be no assurance about the market prices for our series of preferred shares that are traded publicly, which consist of our series E and series F preferred shares (following the redemption of all remaining series C preferred shares on January 2, 2018). Our series D preferred shares were issued in connection with the UGC acquisition and are not publicly traded.
publicly. Several factors, many of which are beyond our control, will influence the fair value of our preferred shares, including, but not limited to:
whether dividends have been declared and are likely to be declared on any series of our preferred shares from time to time;
our creditworthiness, financial condition, performance and prospects;

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whether the ratings on any series of our preferred shares provided by any ratings agency have changed;
the market for similar securities; and
economic, financial, geopolitical, regulatory or judicial events that affect us and/or the insurance or financial markets generally.
Dividends on our preferred shares are non-cumulative.
Dividends on our preferred shares are non-cumulative and payable only out of lawfully available funds of Arch Capital under Bermuda law. Consequently, if Arch Capital's board of directors (or a duly authorized committee of the board) does not authorize and declare a dividend for any dividend period with respect to any series of our preferred shares, holders of such preferred shares would not be entitled to receive any such dividend, and such unpaid dividend will not accrue and will never be payable. Arch Capital will have no obligation to pay dividends for a dividend period on or after the dividend payment date for such period if its board of directors (or a duly authorized committee of the board) has not declared such dividend before the related dividend payment date; if dividends on our series E or series F preferred shares are authorized and declared with respect to any subsequent dividend period, Arch Capital will be free to pay dividends on any other series of preferred shares including our series D preferred shares, and/or our common shares. In the past, we have not paid dividends on our common shares.
Our preferred shares are equity and are subordinate to our existing and future indebtedness.
Our preferred shares are equity interests and do not constitute indebtedness. As such, these preferred shares will rank junior to all of our indebtedness and other non-equity claims with
respect to assets available to satisfy our claims, including in our liquidation. As of December 31, 2017, our total long-term debt was $2.13 billion, excluding the ‘other’ segment. We may incur additional debt in the future. Our existing and future indebtedness may restrict payments of dividends on our preferred shares. Additionally, unlike indebtedness, where principal and interest would customarily be payable on specified due dates, in the case of preferred shares, (1) dividends are payable only if declared by the board of directors of Arch Capital (or a duly authorized committee of the board) and (2) as described under “Risks Relating to Our Company—Arch Capital is a holding company and is dependent on dividends and other distributions from its operating subsidiaries,” we are subject to certain regulatory and other constraints affecting our ability to pay dividends and make other payments.
The regulatory capital treatment of the preferred sharesWe may not be what we anticipate.
Ourissue additional securities that rank equally with or senior to our series E and series F preferred shares are intendedwithout limitation. The issuance of securities ranking equally with or senior to constitute Tier 2 capital in accordance with the group requirements of the BMA which came into force on January 1, 2013. In order for the series E and series Four preferred shares to qualify as Tier 2 capital,may reduce the termsamount available for dividends and the amount recoverable by
holders of thesuch series E and series F preferred shares reflect the criteria contained in the Insurance (Group Supervision) Rules 2011 published by the BMA in January 2012, and any amendments thereto. No assurance can be made that the BMA will deem that the series E and series F preferred shares constitute Tier 2 capital under the group supervision rules. In the event that the BMA does not make suchof a determination, subject to certain limitations, we will be entitled to vary the termsliquidation, dissolution or winding-up of the series E and series F preferred shares or exchange the series E and series F preferred shares for new securities to achieve the desired regulatory capital treatment.Arch Capital.
The voting rights of holders of our preferred shares are limited.
Holders of our preferred shares have no voting rights with respect to matters that generally require the approval of voting shareholders. The limited voting rights of holders of our preferred shares include the right to vote as a class on certain fundamental matters that affect the preference or special rights of our preferred shares as set forth in the certificate of designations relating to each series of preferred shares. In addition, if dividends on our series E or series F preferred shares have not been declared or paid for the equivalent of six dividend payments, whether or not for consecutive dividend periods, holders of the outstanding series E or series F preferred shares will be entitled to vote for the election of two additional directors to our board of directors subject to the terms and to the limited extent as set forth in the certificate of designations relating to such series of preferred shares.


ARCH CAPITAL482017 FORM 10-K



There is no limitation on our issuance of securities that rank equally with or senior to our preferred shares.
Our series E and series F preferred shares rank senior to our series D preferred shares, and we may issue additional securities that rank equally with or senior to our preferred shares without limitation. The issuance of securities ranking equally with or senior to our preferred shares may reduce the amount available for dividends and the amount recoverable by holders of such series in the event of a liquidation, dissolution or winding-up of Arch Capital.
Risks Relating to Taxation
We and our non-U.S. subsidiaries may become subject to U.S. federal income taxation and/or the U.S. federal income tax liabilities of our U.S. subsidiaries may increase, including as a result of changes in tax law.
Arch Capital and its non-U.S. subsidiaries intend to operate their business in a manner that will not cause them to be treated as engaged in a trade or business in the U.S. and, thus, will not be required to pay U.S. federal income taxes (other than U.S. excise taxes on insurance and reinsurance premiumpremiums and withholding taxes on certain U.S. source investment income) on their income. However, because there is uncertainty as to the activities which constitute being engaged in a trade or business in the U.S., there can be no assurances that the IRS will not contend successfully that Arch Capital or its non-U.S. subsidiaries are engaged in a trade or business in the U.S. If Arch Capital or any of its non-U.S. subsidiaries were subject to U.S. income tax,, in which case our shareholders' equity and earnings could be adversely affected.
Congress has been considering several legislative proposals intended to eliminate certain perceived tax advantages of Bermuda and other non-U.S. insurance companies. There is no assurance that any such legislative proposal will not be enacted into law and any such enacted law would not adversely affectwhich could materially increase our income tax liabilities of us or anythose of our subsidiaries.

ARCH CAPITAL442020 FORM 10-K

The newly enacted U.S. tax lawenactment and its implementation of the Tax Cuts Act may have a material and adverse impact on our operations and financial condition.
The Tax Cuts Act includes significant changes to the taxation of business entities. These changes include, among others, a permanent reduction to the corporate income tax rate. Notwithstanding the reduction in the corporate income tax rate, the overall impact of this tax reform is uncertain, and our business and financial condition could be materially and adversely affected.
Certain provisions in the Tax Cuts Act could have a material and adverse impact on our financial condition and business operation. One such provision imposes a 10% minimum base erosion and anti-abuse tax (reduced to 5% for the 2018 taxable year and increased(increased to 12.5%
for the 2026 taxable year and the subsequent taxable years) on the “modified taxable income” of a U.S. corporation (or a non-U.S. corporation engaged in a U.S. trade or business) over such corporation’s regular U.S. federal income tax, reduced by certain tax credits. The “modified taxable income��income” of a corporation is determined without deduction for certain payments by such corporation to its non-U.S. affiliates (including reinsurance premiums). The reinsurance agreements between our U.S.-based insurance segment and reinsurance segment subsidiaries and Arch Re Bermuda were not renewed as of January 1, 2018. As such, the level of subject business ceded to Arch Re Bermuda will be substantially lower in 2018 than in prior periods. Other provisions of the Tax Cuts Act that could have a material and adverse impact on us include a provision that defers or disallows a U.S. corporation’s deduction of interest expense to the extent such interest expense exceeds a specified percentage of such U.S. corporation’s “adjusted taxable income” and a provision that adjusts the manner in which a U.S. property and casualty insurance company computes its loss reserve.
Significant uncertainty regarding the impact of the Tax Cuts Act exists, as a result of factors including future regulatory and rulemaking processes, the prospects of additional corrective or supplemental legislation, potential trade or other litigation and other factors. ThereIn addition, there is no assurance that the implementation of the Tax Cuts Act and any other subsequent changechanges in tax laws or regulations will not materially and adversely affect our operations and financial condition.
Our non-U.K. companies may be subject to U.K. tax that may have a material adverse effect on our results of operations.
We intend to operate in such a manner so that none of our companies, other than our U.K. subsidiaries and branch operations (the “U.K. Group”), should be resident in the U.K. for tax purposes or carry on a trade, whether or not through a permanent establishment, in the U.K. Accordingly, we do not expect that any of our other subsidiaries, other than the U.K. Group, should be subject to U.K. tax. Case law has held that whether or not a trade is being carried on in the U.K. is a matter of fact and emphasis is placed on where the operations take place from which the profits in substance arise. HM Revenue and Customs might contend successfully that one or more of our subsidiaries, in addition to the U.K. Group, is carrying on a trade in the U.K. For U.K. tax purposes, a non-U.K. tax resident company will be subject to U.K. corporation tax only if it carries on a trade through a permanent establishment in the U.K. However, that subsidiary may still be subject to U.K. income tax if it carries on a trade in the U.K., without a permanent establishment, unless it is entitled to the protection afforded by a double tax treaty between the U.K. and the jurisdiction in which that company is resident. If any of our subsidiaries is treated as resident, or carrying on a trade, in the U.K., whether or not through a permanent establishment, and,


ARCH CAPITAL492017 FORM 10-K



therefore, subject to U.K. tax, our results of operations could be materially adversely affected.
We may become subject to taxes in Bermuda after March 31, 2035, which may have a material adverse effect on our results of operations.
Under current Bermuda law, we are not subject to tax on income, profits, withholding, capital gains or capital transfers. Furthermore, we have obtained from the Minister of Finance of Bermuda under the Exempted Undertakings Tax Protection Act 1966 of Bermuda, an assurance that, in the event that Bermuda enacts legislation imposing tax computed on profits, income, any capital asset, gain or appreciation, or any tax in the nature of estate duty or inheritance tax, then the imposition of the tax will not be applicable to us or our operations until March 31, 2035. We couldGiven the limited duration of the Minister of Finance's assurance we cannot be certain that we will not be subject to taxes inany Bermuda tax after that date.date, which may have a material adverse effect on our results of operations. This assurance does not, however, prevent the imposition of taxes on any person ordinarily resident in Bermuda or any company in respect of its ownership of real property or leasehold interests in Bermuda.
The impact of Bermuda's letter of commitment to the OECD to eliminate harmful tax practices is uncertain and could adversely affect our tax status in Bermuda.Bermuda
The Organization for Economic Cooperation and Development (“OECD”) has published reports and launched a global initiative among member and non-member countries on measures to limit harmful tax competition. These measures are largely directed at counteracting the effects of tax havens and preferential tax regimes in countries around the world. Bermuda was not listed in the most recent report as an uncooperative tax haven jurisdiction because it had previously committed to eliminate harmful tax practices, to embrace international tax standards for transparency, to exchange information and to eliminate an environment that attracts business with no
substantial domestic activity. We are not able to predict what changes will arise from the commitment or whether such changes will subject us to additional taxes.
The impact of commitments made by the government of Bermuda in order to avoid being named on the EU’s list of non-cooperative tax jurisdictions is uncertain and could have an adverse effect on our results of operations.
On December 5, 2017 the Council of the European Union published its list of non-cooperative jurisdictions for tax purposes (the “EU Blacklist”). Bermuda was not named on the EU Blacklist due to commitments made by its government to improve certain “substance requirement” deficiencies that were identified by the EU during the screening process. This commitment led to the passing of the Economic Substance Act 2018 (as amended) of Bermuda (the “ES Act”) in December 2018, which came into force on 1 January 2019. While the the legislation remains subject to further clarification and interpretation, it is not currently possible to ascertain the steps required to ensure our continued compliance with the ES Act and makes it difficult to predict its future impact. Any entity found to be lacking adequate economic substance may be fined or ordered by a court to take action to remedy such failure (or face being struck off the companies register). As a result, there is a risk that non-compliance with its economic substance requirements under the ES Act could require Arch to enhance its infrastructure in Bermuda, and this may result in some additional operational expenditures, increased tax liabilities and/or compliance costs for Arch.
We may become subject to increased taxation in Bermuda and other countries as a result of the OECD's plan on “Base erosion and profit shifting.”
The OECD, with the support of the G20, initiated the “base erosion and profit shifting” (“BEPS”) project in 2013 in response to concerns that international tax standards have not kept pace with changes in global business practices and that changes are needed to international tax laws to address situations where multinationals may pay little or no tax in certain jurisdictions by shifting profits away from jurisdictions where the activities creating those profits may take place. In OctoberNovember 2015, the OECD issued “final reports” in connection with the BEPS project. The final reports have beenwere approved for adoption by the G20 finance ministers in November 2015.ministers. The final reports provide the basis for international standards for

ARCH CAPITAL452020 FORM 10-K

corporate taxation that are designed to prevent, among other things, the artificial shifting of income to tax havens and low-tax jurisdictions, the erosion of the tax base through interest deductions on intercompany debt and the artificial avoidance of permanent establishments (i.e., tax nexus with a jurisdiction).
Legislation to adopt and implement these standards, including country by country reporting, has been enacted or is currently under consideration in a number of jurisdictions to implement these standards, including country by country reporting.jurisdictions. As a result, our income may be taxed in jurisdictions where it is not currently taxed and at higher rates of tax than currently taxed, which may substantially increase our effective tax rate. Also, the continued adoption of these standards may increase the complexity and costs associated with tax compliance and adversely affect our financial position and results of operations.
In May 2019, the OECD published a “Programme of Work,” divided into two pillars, which is designed to address the tax challenges created by an increasing digitalized economy. Pillar One addresses the broader challenge of a digitalized economy and focuses on the allocation of group profits among taxing jurisdictions based on a market-based concept rather than historical “permanent establishment” concepts. Pillar Two addresses the remaining BEPS risk of profit shifting to entities in low tax jurisdictions by introducing a global minimum tax and a proposed tax on base eroding payments, which would operate through a denial of a deduction or imposition of source-based taxation (including withholding tax) on certain payments. In January 2020, the OECD released a statement excluding most financial services activities, including insurance activities, from the scope of the profit reallocation mechanism in Pillar I. The OECD statement cited the presence of commercial (rather than consumer) customers as grounds for the carve-out, but also acknowledged that a “compelling case” could be made that the consumer-facing business lines of insurance companies should be excluded from the scope of Pillar I given the impact of regulations and licensing requirements that typically ensure that residual profits are largely realized in local customer markets. However, the OECD noted that the proper scope for Pillar I as applied to “unregulated elements of the financial services sector” may require further consideration.To date, the proposal has been written broadly enough to potentially apply to our activities, and we are unable to determine at this time when such measures would be implemented and if so, whether they will be in a form that whether it would have a material adverse impact on our operations and results.
The EU’s review of harmful tax competition could adversely affect our business, financial condition and results of operations

During 2017, the EU Economic and Financial Affairs Council (“ECOFIN”) released a list of noncooperative jurisdictions for tax purposes. The stated aim of this list, and accompanying report, was to promote good governance worldwide in order to maximize efforts to prevent tax fraud and tax evasion. Bermuda was not on the list of non-cooperative jurisdictions, but did feature in the report (along with approximately 40 other jurisdictions) as having committed to address concerns relating to economic substance by December 31, 2018. In accordance with that commitment, Bermuda has enacted the ES Act that came into force on 1 January 2019, that requires a registered entity other than an entity which is resident for tax purposes in certain jurisdictions outside Bermuda (“non-resident entity”) that carries on as a business any one or more of the “relevant activities” referred to in the ES Act, , which includes carrying on an insurance business, to maintain a substantial economic presence in Bermuda and to satisfy economic substance requirements. Any entity that must satisfy economic substance requirements but fails to do so could face automatic disclosure to competent authorities in the EU of the information filed by the entity with the Bermuda Registrar of Companies in connection with the economic substance requirements and may also face financial penalties, restriction or regulation of its business activities and/or may be struck off as a registered entity in Bermuda.
At present, the impact of these new economic substance requirements is unclear, and it is impossible to predict the nature and effect of these requirements on us. As the legislation is new and remains subject to further clarification and interpretation, it is not currently possible to ascertain the precise impact of the ES Act. Compliance with economic substance requirements may increase the complexity and costs of carrying on our business and adversely affect our financial condition and results of operations.
Application of the EU Anti-Tax Avoidance Directives
As part of the BEPS project, the EU Council adopted on 12 July 2016 Council Directive (EU) 2016/1164 (“ATAD I”), as amended by Council Directive (EU) 2017/952 (“ATAD II”, together with ATAD I, “ATAD”), to provide for minimum standard across EU Member States for tackling aggressive tax planning involving hybrid tax mismatches and interest deductibility. ATAD I was required to be transposed into domestic Member State law with effect from January 1, 2019, whilst ATAD II was required to be transposed into domestic Member State law with effect from January 1, 2020 (with an exception in respect of reverse hybrid mismatch provisions, which will take effect on January 1, 2022). The full impact of the application of ATAD is not yet clear. However, ATAD could result in increased tax liabilities and/or compliance costs and administrative burden for us.

ITEM 1B.ARCH CAPITALUNRESOLVED STAFF COMMENTS462020 FORM 10-K

None.


ITEM 2.
PROPERTIES
ITEM 1B. UNRESOLVED STAFF COMMENTS
None.
ITEM 2. PROPERTIES
We lease office space in Bermuda where our principal offices are located. Our reinsurance group leases space for offices in the U.S., Bermuda, Europe, Canada and Dubai. Our insurance group leases space for offices in the U.S., Canada, Bermuda, U.K., Europe South Africa and Australia. Our reinsurance group leases space for offices in the U.S., Bermuda, U.K., Europe, Canada and Dubai. Our mortgage group leases space for offices in the U.S., Hong Kong and Australia. We believe that the above described office space is adequate for our
needs. However, as we continue to develop our business, we may open additional office locations in 2018.
2021.


ARCH CAPITAL502017 FORM 10-K




ITEM 3. LEGAL PROCEEDINGS
ITEM 3.
LEGAL PROCEEDINGS
We, in common with the insurance industry in general, are subject to litigation and arbitration in the normal course of our business. As of December 31, 2017,2020, we were not a party to any
litigation or arbitration which is expected by management to have a material adverse effect on our results of operations and financial condition and liquidity.

ITEM 4.
MINE SAFETY DISCLOSURES
ITEM 4. MINE SAFETY DISCLOSURES
Not applicable.

ARCH CAPITAL472020 FORM 10-K

Table of Contents
PART II

ITEM 5.MARKET FOR REGISTRANT’S COMMON EQUITY, RELATED STOCKHOLDER MATTERS AND ISSUER PURCHASES OF EQUITY SECURITIES

ITEM 5. MARKET INFORMATIONFOR REGISTRANT’S COMMON EQUITY, RELATED STOCKHOLDER MATTERS AND ISSUER PURCHASES OF EQUITY SECURITIES
The following table sets forth the high and low sales prices for our common shares for the two most recent fiscal years by quarter:
 2017 2016
 High Low High Low
1st Quarter
$96.05
 
$84.21
 
$71.67
 
$59.83
2nd Quarter
$99.21
 
$92.00
 
$73.12
 
$67.50
3rd Quarter
$99.47
 
$90.52
 
$85.16
 
$68.85
4th Quarter
$102.60
 
$89.30
 
$88.41
 
$76.47
On February 22, 2018, the high and low sales prices and the closing price for our common shares (NASDAQ: ACGL) as reported on the NASDAQ Stock Market were $89.21, $87.01 and $87.94, respectively.
HOLDERS
As of February 22, 2018,19, 2021, and based on information provided to us by our transfer agent and proxy solicitor, there were 1,022893 holders of record of our common shares (NASDAQ: ACGL) and approximately 31,00086,000 beneficial holders of our common shares.
ISSUER PURCHASES OF EQUITY SECURITIES
The following table summarizes our purchases of common shares for the 20172020 fourth quarter:
Issuer Purchases of Common Shares
PeriodTotal Number of Shares Purchased (1)Average Price Paid per ShareTotal Number of Shares Purchased as Part of Publicly Announced Plans or ProgramsApproximate Dollar Value of Shares that May Yet be Purchased Under the Plan or Programs (2)
10/1/2020-10/31/2020451$31.01$924,514
11/1/2020-11/30/2020142,559$31.28$920,548
12/1/2020-12/31/2020131,476$32.93$916,528
Total274,486$32.07$916,528
  Issuer Purchases of Common Shares
Period Total Number of Shares Purchased (1) Average Price Paid per Share Total Number of Shares Purchased as Part of Publicly Announced Plans or Programs Approximate Dollar Value of Shares that May Yet be Purchased Under the Plan or Programs (2)
10/1/2017-10/31/2017 2,320 $99.76
 
 $446,501
11/1/2017-11/30/2017 217,501 $95.36
 
 $446,501
12/1/2017-12/31/2017 34,473 $90.65
 
 $446,501
Total 254,294 $94.76
 
 $446,501
(1)    Includes repurchases by Arch Capital of shares, from time to time, from employees in order to facilitate the payment of withholding taxes on restricted shares granted and the exercise of stock appreciation rights. We purchased these shares at their fair market value, as determined by reference to the closing price of our common shares on the day the restricted shares vested or the stock appreciation rights were exercised.
(2)    Remaining amount available at December 31, 2020 under Arch Capital’s share repurchase authorization, under which repurchases may be effected from time to time in open market or privately negotiated transactions through December 31, 2021.


(1)Includes repurchases by Arch Capital of shares, from time to time, from employees in order to facilitate the payment of withholding taxes on restricted shares granted and the exercise of stock appreciation rights. We purchased these shares at their fair market value, as determined by reference to the closing price of our common shares on the day the restricted shares vested or the stock appreciation rights were exercised.
(2)Remaining amount available at December 31, 2017 under Arch Capital’s share repurchase authorization, under which repurchases may be effected from time to time in open market or privately negotiated transactions through December 31, 2019.


ARCH CAPITAL514820172020 FORM 10-K



DIVIDENDS
Any determination to pay dividends on Arch Capital’s preferred shares or common shares will be at the discretion of Arch Capital’s board of directors (or a duly authorized committee of the board of directors) and will be dependent upon its results of operations, financial condition and other factors deemed relevant by Arch Capital’s board of directors. As a holding company, Arch Capital will depend on future dividends and other permitted payments from its subsidiaries to pay dividends to its shareholders. Arch Capital’s subsidiaries’ ability to pay dividends, as well as its ability to pay dividends, is subject to regulatory, contractual, rating agency and other constraints. So long as any non-cumulative preferred shares remain outstanding for any dividend period, unless the full dividends for the latest completed dividend period on all outstanding non-cumulative preferred shares and parity shares have been declared and paid (or declared and a sum sufficient for the payment thereof has been set aside), (a) no dividend may be paid or declared on Arch Capital’s common shares or any of its other securities ranking junior to the non-cumulative preferred shares (other than a dividend payable solely in common shares or in such other junior securities) and (b) no common shares or other junior shares may be purchased, redeemed or otherwise acquired for consideration by Arch Capital, directly or indirectly (other than (i) as a result of a reclassification of junior shares for or into other junior shares, or the exchange or conversion of one junior share for or into another junior share, (ii) through the use of the proceeds of a substantially contemporaneous sale of junior shares and (iii) as permitted by the bye-laws of Arch Capital in effect on the date of issuance of the non-cumulative preferred shares).
PERFORMANCE GRAPH
The following graph compares the cumulative total shareholder return on our common shares for each of the last five years through December 31, 20172020 to the cumulative total return, assuming reinvestment of dividends, of (1) S&P 500 Composite Stock Index (“S&P 500 Index”) and (2) the S&P 500 Property & Casualty Insurance Index. The share price performance presented below is not necessarily indicative of future results.
CUMULATIVE TOTAL SHAREHOLDER RETURN (1)(2)(3)
acgl-20201231_g2.jpg
Base Period
Company Name/Index12/31/1512/31/1612/31/1712/31/1812/31/1912/31/20
lArch Capital Group Ltd.$100.00 $123.71 $130.14 $114.92 $184.47 $155.14 
nS&P 500 Index$100.00 $111.96 $136.40 $130.42 $171.49 $203.04 
pS&P 500 Property & Casualty Insurance Index$100.00 $115.71 $141.61 $134.97 $169.88 $181.70 
  Base Period     
 Company Name/Index12/31/1212/31/13
12/31/14
12/31/15
12/31/16
12/31/17
lArch Capital Group Ltd.
$100.00

$135.60

$134.26

$158.45

$196.02

$206.20
nS&P 500 Index
$100.00

$132.39

$150.51

$152.59

$170.84

$208.14
pS&P 500 Property & Casualty Insurance Index
$100.00

$138.29

$160.06

$175.32

$202.85

$248.26
(1)(1)    Stock price appreciation plus dividends.
(2)The above graph assumes that the value of the investment was $100 on December 31, 2012.
(3)This graph is not “soliciting material,” is not deemed filed with the SEC and is not to be incorporated by reference in any filing by us under the Securities Act of 1933 or the Securities and Exchange Act of 1934, whether made before or after the date hereof and irrespective of any general incorporation language in any such filing.


(2)    The above graph assumes that the value of the investment was $100 on December 31, 2015.
(3)    This graph is not “soliciting material,” is not deemed filed with the SEC and is not to be incorporated by reference in any filing by us under the Securities Act of 1933 or the Securities and Exchange Act of 1934, whether made before or after the date hereof and irrespective of any general incorporation language in any such filing.
ARCH CAPITAL522017 FORM 10-K

ITEM 6. SELECTED FINANCIAL DATA
Part II, Item 6 is no longer required as the Company has adopted certain provisions within the amendments to Regulation S-K that eliminate Item 301.

ARCH CAPITAL492020 FORM 10-K



ITEM 6.
SELECTED FINANCIAL DATA
ITEM 7. MANAGEMENT’S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND RESULTS OF OPERATIONS

The following tables set forth summary historical consolidatedis a discussion and analysis of the financial condition and operating data (including the results of operations for the ‘other’ segment)year ended December 31, 2020 and should2019. Comparisons between 2019 and 2018 have been omitted from this Form 10-K, but may be readfound in conjunction with “Management’s"Management's Discussion and Analysis of Financial Condition and Results of Operations” and our financial statements andOperations" in Part II, Item 7 of the related notes.
(U.S. dollars in thousands except share data)Year Ended December 31,
2017 2016 2015 2014 2013
Statement of Income Data:         
Net premiums written$4,961,373
 $4,031,391
 $3,817,531
 $3,891,938
 $3,351,367
Net premiums earned4,844,532
 3,884,822
 3,733,905
 3,593,748
 3,145,952
Net investment income470,872
 366,742
 348,090
 302,585
 267,219
Equity in net income (loss) of investment funds accounted for using the equity method142,286
 48,475
 25,455
 19,883
 35,701
Net realized gains (losses)149,141
 137,586
 (185,842) 102,917
 74,018
Total revenues5,627,375
 4,463,556
 3,936,590
 3,988,873
 3,526,157
Income before income taxes757,277
 855,552
 567,194
 844,247
 734,770
Net income$629,709
 $824,178
 $526,582
 $821,260
 $703,119
Net (income) loss attributable to noncontrolling interests(10,431) (131,440) 11,156
 13,095
 
Net income available to Arch619,278
 692,738
 537,738
 834,355
 703,119
Preferred dividends(46,041) (28,070) (21,938) (21,938) (21,938)
Loss on redemption of preferred shares(6,735) 
 
 
 
Net income available to Arch common shareholders$566,502
 $664,668
 $515,800
 $812,417
 $681,181
Diluted net income per share$4.07
 $5.33
 $4.09
 $6.02
 $5.02
Cash dividends per share
 
 
 
 
After-tax operating income available to Arch common shareholders (1)$447,155
 $577,444
 $565,199
 $617,312
 $589,103
After-tax operating income available to Arch common shareholders per share — diluted (1)$3.21
 $4.63
 $4.48
 $4.58
 $4.34
After-tax return on average common equity (2)7.2% 10.9% 8.9% 14.7% 13.5%
After-tax operating return on average common equity (2)5.7% 9.4% 9.7% 11.2% 11.7%
Weighted average common shares and common share equivalents outstanding — diluted (2)139,261,675
 124,717,493
 126,038,743
 134,922,322
 135,777,183
(1)After-tax operating income available to Arch common shareholders is defined as net income available to Arch common shareholders, excluding net realized gains or losses, net impairment losses included in earnings, equity in net income or loss of investment funds accounted for using the equity method, net foreign exchange gains or losses, UGC transaction costs and other and loss on redemption of preferred shares, net of income taxes. The presentation of after-tax operating income available to Arch common shareholders is a “non-GAAP financial measure” as defined in Regulation G. See “Management’s Discussion and Analysis of Financial Condition and Results of Operations—General—Comment on Non-GAAP Financial Measures” for further details.
(2)Equals after-tax operating income available to Arch common shareholders divided by the average of beginning and ending common shareholders’ equity for each period presented. For the 2016 period, the return on average common shareholders’ equity reflects the weighted impact of the $1.10 billion of convertible non-voting common equivalent preferred shares, which were issued on December 31, 2016 as part of the UGC acquisition.




ARCH CAPITAL532017 FORM 10-K



(U.S. dollars in thousands except share data)December 31,
2017 2016 2015 2014 2013
Balance Sheet Data:         
Total investable assets (1)$22,156,488
 $20,493,952
 $16,340,938
 $15,762,730
 $14,049,525
Premiums receivable1,135,249
 1,072,435
 983,443
 948,695
 753,924
Reinsurance recoverables on unpaid and paid losses and loss adjustment expenses2,540,143
 2,114,138
 1,867,373
 1,812,845
 1,804,330
Total assets32,051,658
 29,372,109
 23,138,931
 21,967,742
 19,518,715
Reserves for losses and loss adjustment expenses:         
Before unpaid losses and loss adjustment expenses recoverable11,383,792
 10,200,960
 9,125,250
 9,036,448
 8,824,696
Net of unpaid losses and loss adjustment expenses recoverable8,918,882
 8,117,385
 7,296,413
 7,258,145
 7,076,446
Unearned premiums:         
Before ceded unearned premiums3,622,314
 3,406,870
 2,333,932
 2,231,578
 1,896,365
Net of ceded unearned premiums2,695,703
 2,547,303
 1,906,323
 1,854,500
 1,568,022
Senior notes1,732,884
 1,732,258
 791,306
 791,141
 790,960
Revolving credit agreement borrowings816,132
 756,650
 530,434
 100,000
 100,000
Total liabilities21,805,723
 20,060,984
 16,028,376
 14,887,435
 13,909,558
Total shareholders’ equity10,040,013
 9,105,572
 6,905,373
 6,860,795
 5,609,157
Total shareholders' equity available to Arch9,196,602
 8,253,718
 6,166,542
 6,091,714
 5,609,157
Preferred shareholders' equity872,555
 772,555
 325,000
 325,000
 325,000
Common shareholders' equity available to Arch$8,324,047
 $7,481,163
 $5,841,542
 $5,766,714
 $5,284,157
Common shares and common share equivalents outstanding, net of treasury shares (2)136,652,139
 135,550,337
 122,627,783
 127,367,934
 133,674,884
Book value per share (2) (3)$60.91
 $55.19
 $47.64
 $45.28
 $39.53
(1)Company's Annual Report on Form 10-K year ended December 31, 2019 filed with the SEC. This table excludes the collateral received and reinvested and includes the securities pledged under securities lending agreements, at fair value.
(2)Reflects the impact of outstanding convertible non-voting common equivalent preferred shares which were issued on December 31, 2016 as part of the UGC acquisition.
(3)Excludes the effects of stock options and restricted stock units.



ARCH CAPITAL542017 FORM 10-K




ITEM 7.
MANAGEMENT’S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND RESULTS OF OPERATIONS
The following discussion and analysis contains forward-looking statements which involve inherent risks and uncertainties. All statements other than statements of historical fact are forward-looking statements. These statements are based on our current assessment of risks and uncertainties. Actual results may differ materially from those expressed or implied in these statements and, therefore, undue reliance should not be placed on them. Important factors that could cause actual events or results to differ materially from those indicated in such statements are discussed in this report, including the sections entitled “CautionaryCautionary Note Regarding Forward-Looking Statements,” and “Risk Factors.Risk Factors.
This discussion and analysis should be read in conjunction with our audited consolidated financial statements and notes thereto presented under Item 8. Tabular amounts are in U.S. Dollars in thousands, except share amounts, unless otherwise noted.
GENERAL

Overview
Arch Capital Group Ltd. (“Arch Capital” and, together with its subsidiaries, “we” or “us”) is a publicly listed Bermuda public limited liabilityexempted company with approximately $11.30$15.8 billion in capital at December 31, 20172020 and, through operations in Bermuda, the United States, United Kingdom, Europe, Canada, Australia and Canada,Hong Kong, writes specialty lines of property and casualty insurance and reinsurance, as well as mortgage insurance and reinsurance, on a worldwide basis. It is our belief that our underwriting platform, our experienced management team and our strong capital base have enabled us to establish a strong presence in the insurance and reinsurance markets.
The worldwide property casualty insurance and reinsurance industry is highly competitive and has traditionally been subject to an underwriting cycle in which a hard market (high premium rates, restrictive underwriting standards, as well as terms and conditions, and underwriting gains) is eventually followed by a soft market (low premium rates, relaxed
underwriting standards, as well as broader terms and conditions, and underwriting losses). Property casualty market conditions may affect, among other things, the demand for our products, our ability to increase premium rates, the terms and conditions of the insurance policies we write, changes in the products offered by us or changes in our business strategy.
The financial results of the property casualty insurance and reinsurance industry are influenced by factors such as the frequency and/or severity of claims and losses, including natural disasters or other catastrophic events, variations in
interest rates and financial markets, changes in the legal, regulatory and judicial environments, inflationary pressures and general economic conditions. These factors influence, among other things, the demand for insurance or reinsurance, the supply of which is generally related to the total capital of competitors in the market.
Mortgage insurance and reinsurance is subject to similar cycles to property casualty except that they have historically been more dependent on macroeconomic conditions.
Current Outlook
The broad property casualty insurance market environment continues to be competitive in our business, consistentIn keeping with our view in prior quarters, reflecting slight deterioration in rates across certain sectors. This has led to flat or lower writings in certain property casualty lines in the 2017 quarters. With the continued low interest rate environment, additional price increases are needed in many lines in order for us to achieve our return requirements. Recent catastrophic loss activity, including Hurricanes Harvey, Irma and Maria and the California wildfires, may result in improvements in rates and provide opportunities for growth. Ourlongstanding underwriting teams continue to execute a disciplined strategy by emphasizing small and medium-sized accounts over large accounts and by utilizing reinsurance purchases to reduce volatility on large account, high capacity business.
Our mortgage segment continues to experience favorable market conditions. The mortgage segment includes our U.S. primary mortgage insurance operations, international mortgage insurance and reinsurance operations as well as government sponsored enterprise (GSE) credit-risk sharing transactions. On December 31, 2016,approach, we completed the acquisition of United Guaranty Corporation, a North Carolina corporation (UGC) from American International Group, Inc. (AIG). The acquisition of UGC expanded our U.S. primary mortgage insurance operations by combining UGC’s position as the market leader in the U.S. private mortgage insurance industry with Arch’s financial strength and history of innovation. On July 1, 2017, we completed our previously announced acquisition of AIG United Guaranty Insurance (Asia) Limited from AIG (renamed Arch MI Asia Limited).
Our objective is to achieve an average operating return on average equity of 15% or greater over the insurance cycle, which we believe to be an attractive return to our common shareholders given the risks we assume. We continue to look for opportunities to find acceptable books of business to underwrite without sacrificing underwriting discipline anddiscipline. We continue to write a portion of our overall book in catastrophe-


ARCH CAPITAL552017 FORM 10-K



exposedcatastrophe-exposed business, which has the potential to increase the volatility of our operating results.
Changing economic conditions could have a material impact on From an operating perspective, our 2020 results reflected the frequency and severitybenefits of claims and, therefore, could negatively impactrate improvements as all three of our underwriting returns. In addition, volatilitysegments are seeing attractive opportunities to grow at acceptable rates of return. We know from experience that this is an opportune time to significantly expand our participation into this hardening market. As such, we raised an additional $1.0 billion of capital in the financial markets couldform of long-term senior notes at the end of June 2020 and continue to significantly affectdeploy capital to those lines that provide the best expected returns.
Rate improvements in 2020 have enabled us to continue to expand writings in our investmentproperty casualty segments as risk adjusted returns reported results and shareholders’ equity. We considerare increasingly achieved. In the potential impact of economic trendsinsurance segment, our renewal rate changes increased approximately 12% in the estimation process for establishing unpaid losses2020 fourth quarter and loss adjustment expenses and in determining our investment strategies. In addition, weaknesswe believe that this trend of the U.S., European countries and other key economies, projected budget deficits for the U.S., European countries and other governments and the consequences associated with potential downgrades of securities of the U.S., European countries and other governments by credit rating agencies is inherently unpredictable and could have a material adverse effect on financial marketsincreasing rates will continue through 2021.
COVID-19 has continued to significantly impact social and economic conditionsactivity in the U.S. and throughoutglobal markets. We are committed to the world. In turn,safety of our employees, including

ARCH CAPITAL502020 FORM 10-K

restricting travel and instituting an extensive work from home policy. These actions have helped prevent a major disruption to our clients and operations. The impact of the spread of COVID-19 has changed some of our outlook for 2021, but we are navigating this could haveperiod with a material adverse effect onstrong capital base. The extent to which COVID-19 impacts our business, financial condition and results of operations and financial results depends on numerous evolving factors including, but not limited to, the magnitude and duration of COVID-19, the extent to which it will impact macroeconomic conditions, the speed of the anticipated recovery and governmental, business and individual reactions to the pandemic. Given the continuing evolution of the COVID-19 outbreak and the response to curb its spread including the release of vaccines, we continue to not be able to estimate the future effects of the COVID-19 outbreak to our results of operations, financial condition, or liquidity.
For the 2020 period, we recorded $272 million for COVID-19 losses across our property casualty segments. We continue to have limited information to accurately quantify our potential exposure to the pandemic in particular, this couldcertain areas but have established IBNR reserves for occurrences based on policy terms and conditions including limits, sub-limits, and deductibles. These reserves were recorded across a material adverse effectnumber of lines of business, such as trade credit, travel, workers compensation and property where we have limited exposure to policies that do not contain a specific pandemic exclusion and/or explicitly afford business interruption coverage under a pandemic. Given the unusual circumstances and breadth of the pandemic, we have classified COVID-19 losses as a catastrophe.
For our U.S. primary mortgage operations, reported delinquencies were 4.19% at December 31, 2020, compared to 4.69% at September 30, 2020. Delinquencies continue to be better than our expectations at the beginning of the COVID-19 pandemic. However, delinquency rates remain at elevated levels, reflecting the impact of the recession and forbearance programs under the CARES Act (including any extensions) to borrowers experiencing a hardship during COVID-19. Forbearance allows for mortgage payments to be suspended for up to 18 months along with a suspension of foreclosures and evictions. See “Results of Operations—Mortgage Segment” for further details on our mortgage operations.
Record mortgage originations fueled by low mortgage rates are continuing to create surges in both purchase and refinancing activity. There remains significant uncertainty on the valueeconomy’s health and liquiditythe lack of securitiesa full understanding on how COVID-19 may impact individual borrowers and, as such, caution is warranted on predicting how this will ultimately affect our results of operations.
We believe that delinquency rates could increase in the future from the current level, as additional borrowers may request
forbearance on their mortgage loans under the CARES Act. We would record loss reserves on these delinquencies which would result in elevated levels of incurred losses over the coming quarters. Over time, we would expect many of these delinquencies to cure and revert back to performing loans as the economy returns to a less-stressed state. At this time, we do not have enough visibility to predictably forecast the rate at which forbearance delinquencies will be reported to us, cure or ultimately turn into claims on an annual, let alone a quarterly basis. We are cautiously optimistic that delinquencies will continue to cure as vaccines enable economies to reopen. Record home purchases in the U.S. in 2020 supported a 5% price appreciation nationwide while historically low interest rates accelerated housing and refinancing demand. Our outlook for continued growth in 2021 remains positive. For further discussion of the potential impacts of COVID-19, see “ITEM 1A—Risk Factors”.
We remain committed to providing solutions across many offerings as the marketplace evolves, including the mortgage credit risk transfer programs initiated by government sponsored enterprises, or “GSEs.” In addition, we enter into aggregate excess of loss mortgage reinsurance agreements with various special purpose reinsurance companies domiciled in Bermuda (the Bellemeade Agreements) and issue mortgage insurance linked notes, increasing our investment portfolio.protection for mortgage tail risk. The Bellemeade structures provide approximately $4.0 billion of aggregate reinsurance coverage.
FINANCIAL MEASURES

Management uses the following three key financial indicators in evaluating our performance and measuring the overall growth in value generated for Arch Capital’s common shareholders:
Book Value per Share
Book value per share represents total common shareholders’ equity available to Arch divided by the number of common shares and common share equivalents outstanding. Management uses growth in book value per share as a key measure of the value generated for our common shareholders each period and believes that book value per share is the key driver of Arch Capital’s share price over time. Book value per share is impacted by, among other factors, our underwriting results, investment returns and share repurchase activity, which has an accretive or dilutive impact on book value per share depending on the purchase price. Book value per share was $60.91$30.31 at December 31, 2017,2020, a 10.4%14.7% increase from $55.19$26.42 at December 31, 2016.2019. The growth in 2017 was primarily generated through2020 reflected strong underwriting results and investment returns.

ARCH CAPITAL512020 FORM 10-K

Operating Return on Average Common Equity
Operating return on average common equity (“Operating ROAE”) represents annualized after-tax operating income available to Arch common shareholders divided by average common shareholders’ equity available to Arch during the period. After-tax operating income available to Arch common
shareholders, a “non-GAAP measure” as defined in the SEC rules, represents net income available to Arch common shareholders, excluding net realized gains or losses, net impairment losses recognized in earnings, equity in net income or loss of investment fundsinvestments accounted for using the equity method, net foreign exchange gains or losses and UGC transaction costs and other, net of income taxes. Management uses Operating ROAE as a key measure of the return generated to Arch common shareholders. See “Comment on Non-GAAP Financial Measures.” Our Operating ROAE was 5.7%4.8% for 2017,2020, compared to 9.4%12.0% for 2016 and 9.7% for 2015.2019. The lower Operating ROAE for 2017 primarily2020 reflected a higher levelimpact of elevated catastrophic loss activity partially offset by strong mortgage insuranceincluding COVID-19 on underwriting performanceresults and favorablelower investment returns.income than in the 2019 periods.
Total Return on Investments
Total return on investments includes investment income, equity in net income or loss of investment fundsinvestments accounted for using the equity method, net realized gains and losses and the change in unrealized gains and losses generated by Arch’s investment portfolio. Total return is calculated on a pre-tax basis and before investment expenses excluding amounts reflected in the ‘other’ segment, and reflects the effect of financial market conditions along with foreign currency fluctuations. Management uses total return on investments as a key measure of the return generated to Arch common shareholders on the capital held in the business, and compares the return generated by our investment portfolio against benchmark returns which we measured our portfolio against during the periods.
The following table summarizes the pre-tax total return (before investment expenses) of investment held by Arch compared to the benchmark return (both based in U.S. Dollars) against which we measured our portfolio during the periods:
Arch
Portfolio (1)
Benchmark
Return
Pre-tax total return (before investment expenses):
Year Ended December 31, 20207.77 %7.16 %
Year Ended December 31, 20197.30 %7.39 %
 
Arch
Portfolio (1)
 
Benchmark
 Return
Pre-tax total return (before investment expenses):   
Year Ended December 31, 20175.87% 4.74 %
Year Ended December 31, 20162.07% 2.13 %
Year Ended December 31, 20150.41% -0.38 %
(1) Our investment expenses were approximately 0.31% and 0.33%, respectively, of average invested assets in 2020 and 2019.
(1)Our investment expenses were approximately 0.30%, 0.34% and 0.35%, respectively, of average invested assets in 2017, 2016 and 2015.

Total return for our investment portfolio outperformed that of the benchmark return index in 20172020 and primarily reflected strong investment returnsthe impact of
lower interest rates on our investment grade fixed income portfolio, which represents the majorityportfolio. The duration of our investment portfolio and in equities and alternatives. Total return was impacted by weakeningdecreased to 3.01 years at year-end, reflecting our ongoing positioning of the U.S. Dollar againstportfolio towards shorter-term and high credit opportunities, as we expect the Euro, British Pound Sterling and other major currencies which increased total return on non-U.S. Dollar denominated


ARCH CAPITAL562017 FORM 10-K



investments during 2017. Excluding foreign exchange, total return was 4.98% for 2017, compared to 2.35% for 2016 and 1.62% for 2015.
The benchmark return index included weightings toyield curve may steepen over the following indices, which are primarily from The Bank of America Merrill Lynch (“BoAML”):
%
BoAML 1-10 Year U.S. Corporate & All Yankees, A - AAA Rated Index20.00%
BoAML 1-10 Year U.S. Municipal Securities Index17.00
BoAML 1-5 Year U.S. Treasury Index13.00
BoAML 3-5 Year Fixed Rate Asset Backed Securities Index7.00
BoAML 5-10 Year U.S. Treasury Index5.00
Barclays CMBS Investment Grade, AAA Rated Index5.00
MSCI All Country World Gross Total Return Index5.00
BoAML German Government Index4.50
BoAML U.S. Mortgage Backed Securities Index4.00
BoAML 1-5 Year U.K. Gilt Index3.00
Hedge Fund Research HFRX Fixed Income Credit Index2.50
Hedge Fund Research HFRX Equal Weighted Strategies2.50
BoAML U.S. High Yield Constrained Index2.50
BoAML 1-5 Year Australian Governments Index2.50
S&P Leveraged Loan Index2.50
BoAML 0-3 Month U.S. Treasury Bill Index2.00
BoAML 1-5 Year Canada Government Index1.50
BoAML 20+ Year Canada Government Index0.50
Total100.00%
coming quarters.
The benchmark return index is a customized combination of indices intended to approximate a target portfolio by asset mix and average credit quality while also matching the approximate estimated duration and currency mix of our insurance and reinsurance liabilities. Although the estimated duration and average credit quality of this index will move as the duration and rating of its constituent securities change, generally we do not adjust the composition of the benchmark return index except to incorporate changes to the mix of liability currencies and durations noted above. The benchmark return index should not be interpreted as expressing a preference for or aversion to any particular sector or sector weight. The index is intended solely to provide, unlike many master indices that change based on the size of their constituent indices, a relatively stable basket of investable indices. At December 31, 2017,2020, the benchmark return index had an average credit quality of “Aa2”“Aa3” by Moody’s, an estimated duration of 3.533.02 years.
The benchmark return index included weightings to the following indices:
%
ICE BoAML 1-10 Year A - AAA U.S. Corporate Index21.00 %
ICE BoAML 1-5 Year U.S. Treasury Index15.00 
MSCI ACWI Net Total Return USD Index8.60 
ICE BoAML 3-5 Year Fixed Rate Asset Backed Securities Index7.00 
S&P Leveraged Loan Total Return Index5.20 
Bloomberg Barclays CMBS Invest Grade Aaa Total Return Index5.00 
ICE BoAML 1-10 Year BBB U.S. Corporate Index4.00 
ICE BoAML U.S. Mortgage Backed Securities Index4.00 
ICE BoAML 1-5 Year U.K. Gilt Index4.00 
ICE BoAML German Government 1-10 Year Index3.50 
ICE BoAML 0-3 Month U.S. Treasury Bill Index3.25 
ICE BoAML 1-10 Year U.S. Municipal Securities Index3.00 
ICE BoAML 5-10 Year U.S. Treasury Index3.00 
ICE BoAML 1-5 Year Australia Government Index2.75 
ICE BoAML U.S. High Yield Constrained Index2.50 
ICE BoAML 1-5 Year Canada Government Index2.00 
Bloomberg Barclays Global High Yield Total Return Index1.50 
Hedge Fund Research HFRX ED Distressed Restructuring Index (Flagship Funds)1.50 
Dow Jones Global ex-US Select Real Estate Securities Total Return Net Index0.90 
FTSE Nareit All Mortgage Capped Index Total Return USD0.90 
Bloomberg Barclays CMBS: Erisa Eligible Unhedged USD0.90 
ICE BoAML 20+ Year Canada Government Index0.50 
Total100.00 %

ARCH CAPITAL522020 FORM 10-K

COMMENT ON NON-GAAP FINANCIAL MEASURES

Throughout this filing, we present our operations in the way we believe will be the most meaningful and useful to investors, analysts, rating agencies and others who use our financial information in evaluating the performance of our company. This presentation includes the use of after-tax operating income available to Arch common shareholders, which is defined as
net income available to Arch common shareholders, excluding net realized gains or losses, net impairment losses recognized in earnings, equity in net income or loss of investment fundsinvestments accounted for using the equity method, net foreign exchange gains or losses, UGC transaction costs and other loss on redemption of preferred shares and income taxes, and the use of annualized operating return on average common equity. The presentation of after-tax operating income available to Arch common shareholders and annualized operating return on average common equity are non-GAAP financial measures as defined in Regulation G. The reconciliation of such measures to net income available to Arch common shareholders and annualized return on average common equity (the most directly comparable GAAP financial measures) in accordance with Regulation G is included under “Results of Operations” below. 
We believe that net realized gains or losses, net impairment losses recognized in earnings, equity in net income or loss of investment fundsinvestments accounted for using the equity method, net foreign exchange gains or losses UGCand transaction costs and other and loss on redemption of preferred shares in any particular period are not indicative of the performance of, or trends in, our business. Although net realized gains or losses, net impairment losses recognized in earnings, equity in net income or loss of investment fundsinvestments accounted for using the equity method and net foreign exchange gains or losses are an integral part of our operations, the decision to realize investment gains or losses, the recognition of the change in the carrying value of investments accounted for using the fair value option in net realized gains or losses, the recognition of net impairment losses, the recognition of equity in net income or loss of investment fundsinvestments accounted for using the equity method and the recognition of foreign exchange gains or losses are independent of the insurance underwriting process and result, in large part, from general economic and financial market conditions. Furthermore, certain users of our financial information believe that, for many companies, the timing of the realization of investment gains or losses is largely opportunistic. In addition, changes in allowance for credit losses and net impairment losses recognized in earnings on ourthe Company’s investments represent other-than-temporary declines in expected recovery values on securities without actual realization. The use of the equity method on certain of our investments in certain funds that invest in fixed maturity securities is driven by the ownership structure of such funds (either limited partnerships or limited liability companies). In applying the equity method, these investments are initially recorded at cost and are subsequently adjusted based on our proportionate share of the net income or loss of the funds (which
(which include changes in the market value of the underlying securities in the funds). This method of accounting is different from the way we account for our other fixed maturity securities and the timing of the recognition of equity in net income or loss of investment fundsinvestments accounted for using the equity method may differ from gains or losses in the future upon sale or maturity of such investments. UGC transactionTransaction costs and other include advisory, financing, legal, severance, incentive compensation


ARCH CAPITAL572017 FORM 10-K



and other transaction costs related to the UGC acquisition. During the 2016 fourth quarter, UGC transaction costs and other included non-recurring expenses related to a change in the our approach on the deferral of certain internal underwriting costs which are no longer being deferred.acquisitions. We believe that UGC transaction costs and other, due to their non-recurring nature, are not indicative of the performance of, or trends in, our business performance. The loss on redemption of preferred shares related to the redemption of our Series C preferred shares in September 2017 and had no impact on shareholders' equity or cash flows. Due to these reasons, we exclude net realized gains or losses, net impairment losses recognized in earnings, equity in net income or loss of investment fundsinvestments accounted for using the equity method, net foreign exchange gains or losses UGCand transaction costs and other and loss on redemption of preferred shares from the calculation of after-tax operating income available to Arch common shareholders. In addition, income tax expense for 2017 included a $21.5 million charge due to the revaluation of the Company’s net deferred tax asset resulting from the reduction in the U.S. corporate income tax rate from 35% to 21% effective January 1, 2018. Due to the non-recurring nature of this item, we excluded it from after-tax operating income available to Arch common shareholders.
We believe that showing net income available to Arch common shareholders exclusive of the items referred to above reflects the underlying fundamentals of our business since we evaluate the performance of and manage our business to produce an underwriting profit. In addition to presenting net income available to Arch common shareholders, we believe that this presentation enables investors and other users of our financial information to analyze our performance in a manner similar to how management analyzes performance. We also believe that this measure follows industry practice and, therefore, allows the users of financial information to compare our performance with our industry peer group. We believe that the equity analysts and certain rating agencies which follow us and the insurance industry as a whole generally exclude these items from their analyses for the same reasons.
Our segment information includes the presentation of consolidated underwriting income or loss and a subtotal of underwriting income or loss before the contribution from the ‘other’ segment. Such measures represent the pre-tax profitability of our underwriting operations and include net premiums earned plus other underwriting income, less losses and loss adjustment expenses, acquisition expenses and other operating expenses. Other operating expenses include those operating expenses that are incremental and/or directly attributable to our individual underwriting operations. Underwriting income or loss does not incorporate items included in our corporate (non-underwriting) segment. While these measures are presented in note 5,4, “Segment Information,” to our consolidated financial statements in Item 8, they are considered non-GAAP financial measures when presented elsewhere on a consolidated basis. The reconciliations of
underwriting income or loss to income before income taxes (the most directly comparable GAAP financial measure) on a consolidated basis and a subtotal before the contribution from the ‘other’ segment, in

ARCH CAPITAL532020 FORM 10-K

accordance with Regulation G, is shown in note 5,4, “Segment Information,” to our consolidated financial statements in Item 8.

We measure segment performance for our three underwriting segments based on underwriting income or loss. We do not manage our assets by underwriting segment, with the exception of goodwill and intangible assets, and, accordingly, investment income and other non-underwriting related items are not allocated to each underwriting segment. For the ‘other’ segment, performance is measured based on net income or loss.

Along with consolidated underwriting income, we provide a subtotal of underwriting income or loss before the contribution from the ‘other’ segment. Pursuant to generally accepted accounting principles, Watford Re is considered a variable interest entity and we concluded that we are the primary beneficiary of Watford Re.Watford. As such, we consolidate the results of Watford Re in our consolidated financial statements, although we only own approximately 11%13% of Watford Re’sWatford’s common equity.equity as of December 31, 2020. Watford Re has its own management and board of directors that is responsible for its overallresults and profitability. In addition, we do not guarantee or provide credit support for Watford Re.Watford. Since Watford Re is an independent company, the assets of Watford Re can be used only to settle obligations of Watford Re and Watford Re is solely responsible for its own liabilities and commitments. Our financial exposure to Watford Re is limited to our investment in Watford Re’sWatford’s senior notes, common and preferred shares and counterparty credit risk (mitigated by collateral) arising from the reinsurance transactions. We believe that presenting certain information excluding the ‘other’ segment enables investors and other users of our financial information to analyze our performance in a manner similar to how our management analyzes performance.

Our presentation of segment information includes the use of a current year loss ratio which excludes favorable or adverse development in prior year loss reserves. This ratio is a non-GAAP financial measure as defined in Regulation G. The reconciliation of such measure to the loss ratio (the most directly comparable GAAP financial measure) in accordance with Regulation G is shown on the individual segment pages. Management utilizes the current year loss ratio in its analysis of the underwriting performance of each of our underwriting segments.
Total return on investments includes investment income, equity in net income or loss of investment fundsinvestments accounted for using the equity method, net realized gains and losses and the change in unrealized gains and losses generated by Arch’s investment portfolio. Total return is calculated on a pre-tax basis and before investment expenses, excludes amounts reflected in the ‘other’ segment, and reflects the effect of financial market conditions


ARCH CAPITAL582017 FORM 10-K



along with foreign currency
fluctuations. In addition, total return incorporates the timing of investment returns during the periods. There is no directly comparable GAAP financial measure for total return. Management uses total return on investments as a key measure of the return generated to Arch common shareholders on the capital held in the business, and compares the return generated by our investment portfolio against benchmark returns which we measured our portfolio against during the periods.
RESULTS OF OPERATIONS

The following table summarizes our consolidated financial data, including a reconciliation of net income available to Arch common shareholders to after-tax operating income available to Arch common shareholders. Each line item reflects the impact of our approximate 11%percentage ownership of Watford Re’sWatford’s common equity.equity during such period.
Year Ended December 31,
20202019
Net income available to Arch common shareholders$1,363,909 $1,594,707 
Net realized (gains) losses(814,808)(349,848)
Equity in net (income) loss of investments accounted for using the equity method(146,693)(123,672)
Net foreign exchange (gains) losses80,591 10,732 
Transaction costs and other9,964 14,444 
Income tax expense (benefit) (1)64,145 16,276 
After-tax operating income available to Arch common shareholders$557,108 $1,162,639 
Beginning common shareholders’ equity$10,717,371 $8,659,827 
Ending common shareholders’ equity12,325,886 10,717,371 
Average common shareholders’ equity$11,521,629 $9,688,599 
Annualized return on average common equity %11.8 16.5 
Annualized operating return on average common equity %4.8 12.0 
 Year Ended December 31,
 2017 2016 2015
Net income available to Arch common shareholders$566,502
 $664,668
 $515,800
Net realized (gains) losses(148,836) (77,081) 108,690
Net impairment losses recognized in earnings7,138
 30,442
 20,116
Equity in net (income) loss of investment funds accounted for using the equity method(142,286) (48,475) (25,456)
Net foreign exchange (gains) losses113,613
 (31,987) (63,011)
UGC transaction costs and other22,150
 41,729
 
Loss on redemption of preferred shares6,735
 
 
Income tax expense (benefit) (1)22,139
 (1,852) 9,060
After-tax operating income available to Arch common shareholders$447,155
 $577,444
 $565,199
      
Beginning common shareholders’ equity$7,481,163
 $5,841,542
 $5,766,714
Ending common
shareholders’ equity
8,324,047
 7,481,163
 5,841,542
Average common shareholders’ equity (2)$7,902,605
 $6,113,718
 $5,804,128
      
Annualized return on average common equity % (2)7.2
 10.9
 8.9
Annualized operating return on average common equity % (2)5.7
 9.4
 9.7
(1)Income tax on net realized gains or losses, equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses and transaction costs and other reflects the relative mix reported by jurisdiction and the varying tax rates in each jurisdiction.
(1)Income tax on net realized gains or losses, net impairment losses recognized in earnings, equity in net income or loss of investment funds accounted for using the equity method, net foreign exchange gains or losses, UGC transaction costs and other and loss on redemption of preferred shares reflects the relative mix reported by jurisdiction and the varying tax rates in each jurisdiction.
(2)2016 period reflects the weighted impact of the $1.10 billion of convertible non-voting common equivalent preferred shares issued on December 31, 2016 as part of the UGC acquisition.

Results in all periods presented reflected the impact of current insurance and reinsurance market conditions and the impact of low interest yields on our investment portfolio.
Segment Information
We classify our businesses into three underwriting segments — insurance, reinsurance and mortgage — and two other operating segments — corporate (non-underwriting) and ‘other.’ Our insurance, reinsurance and mortgage segments each have managers who are responsible for the overall

ARCH CAPITAL542020 FORM 10-K

profitability of their respective segments and who are directly accountable to our chief operating decision makers, the Chairman and Chief Executive Officer of Arch Capital, Chief Financial Officer and Treasurer of Arch Capital and the President and Chief Operating Officer, and the Chief FinancialUnderwriting Officer of Arch Capital. The chief operating decision makers do not assess performance, measure return on equity or make resource allocation decisions on a line of business basis. Management measures segment performance for our three underwriting segments based on underwriting income or loss. We do not manage our assets by underwriting segment, with the exception of goodwill and intangible assets, and, accordingly, investment income is not allocated to each underwriting segment.
We determined our reportable segments using the management approach described in accounting guidance regarding disclosures about segments of an enterprise and related information. The accounting policies of the segments are the same as those used for the preparation of our consolidated financial statements. Intersegment business is allocated to the segment accountable for the underwriting results.
Insurance Segment
The following table setstables set forth our insurance segment’s underwriting results:
 Year Ended December 31,
 2017 2016 % Change
Gross premiums written$3,081,086
 $3,027,049
 1.8
Premiums ceded(958,646) (954,768)  
Net premiums written2,122,440
 2,072,281
 2.4
Change in unearned premiums(9,422) 1,623
  
Net premiums earned2,113,018
 2,073,904
 1.9
Losses and loss adjustment expenses(1,622,444) (1,359,313)  
Acquisition expenses(323,639) (304,050)  
Other operating expenses(359,524) (350,260)  
Underwriting income (loss)$(192,589) $60,281
 (419.5)
      
Underwriting Ratios    % Point Change
Loss ratio76.8% 65.5% 11.3
Acquisition expense ratio15.3% 14.7% 0.6
Other operating expense ratio17.0% 16.9% 0.1
Combined ratio109.1% 97.1% 12.0
Year Ended December 31,
20202019% Change
Gross premiums written$4,688,562 $3,907,993 20.0 
Premiums ceded(1,525,655)(1,266,267)
Net premiums written3,162,907 2,641,726 19.7 
Change in unearned premiums(291,487)(244,646)
Net premiums earned2,871,420 2,397,080 19.8 
Other underwriting income(31)— 
Losses and loss adjustment expenses(2,092,453)(1,615,475)
Acquisition expenses(418,483)(361,614)
Other operating expenses(489,153)(454,770)
Underwriting income (loss)$(128,700)$(34,779)(270.1)
Underwriting Ratios% Point Change
Loss ratio72.9 %67.4 %5.5 
Acquisition expense ratio14.6 %15.1 %(0.5)
Other operating expense ratio17.0 %19.0 %(2.0)
Combined ratio104.5 %101.5 %3.0 


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 Year Ended December 31,
 2016 2015 % Change
Gross premiums written$3,027,049
 $2,944,018
 2.8
Premiums ceded(954,768) (898,347)  
Net premiums written2,072,281
 2,045,671
 1.3
Change in unearned premiums1,623
 (863)  
Net premiums earned2,073,904
 2,044,808
 1.4
Other underwriting income
 1,993
  
Losses and loss adjustment expenses(1,359,313) (1,292,647)  
Acquisition expenses(304,050) (296,040)  
Other operating expenses(350,260) (354,416)  
Underwriting income$60,281
 $103,698
 (41.9)
      
Underwriting Ratios    % Point Change
Loss ratio65.5% 63.2% 2.3
Acquisition expense ratio14.7% 14.5% 0.2
Other operating expense ratio16.9% 17.3% (0.4)
Combined ratio97.1% 95.0% 2.1
The insurance segment consists of our insurance underwriting units which offer specialty product lines on a worldwide basis. Product lines include:
•    Construction and national accounts: primary and excess casualty coveragesbasis, as described in note 4, “Segment Information,” to middle and large accountsour consolidated financial statements in the construction industry and a wide range of products for middle and large national accounts, specializing in loss sensitive primary casualty insurance programs (including large deductible, self-insured retention and retrospectively rated programs).
•    Excess and surplus casualty: primary and excess casualty insurance coverages, including middle market energy business, and contract binding, which primarily provides casualty coverage through a network of appointed agents to small and medium risks.
•    Lenders products: collateral protection, debt cancellation and service contract reimbursement products to banks, credit unions, automotive dealerships and original equipment manufacturers and other specialty programs that pertain to automotive lending and leasing.
•    Professional lines: directors’ and officers’ liability, errors and omissions liability, employment practices liability, fiduciary liability, crime, professional indemnity and other financial related coverages for corporate, private equity, venture capital, real estate investment trust, limited partnership, financial institution and not-for-profit clients of all sizes and medical professional and general liability insurance coverages for the healthcare industry. The business is predominately written on a claims-made basis.
•    Programs: primarily package policies, underwriting workers’ compensation and umbrella liability business in support of desirable package programs, targeting program managers with unique expertise and niche products offeringItem 8.
general liability, commercial automobile, inland marine and property business with minimal catastrophe exposure.
•    Property, energy, marine and aviation: primary and excess general property insurance coverages, including catastrophe-exposed property coverage, for commercial clients. Coverages for marine include hull, war, specie and liability. Aviation and stand-alone terrorism are also offered.
•    Travel, accident and health: specialty travel and accident and related insurance products for individual, group travelers, travel agents and suppliers, as well as accident and health, which provides accident, disability and medical plan insurance coverages for employer groups, medical plan members, students and other participant groups.
•    Other: includes alternative market risks (including captive insurance programs), excess workers’ compensation and employer’s liability insurance coverages for qualified self-insured groups, associations and trusts, and contract and commercial surety coverages, including contract bonds (payment and performance bonds) primarily for medium and large contractors and commercial surety bonds for Fortune 1000 companies and smaller transaction business programs.
Premiums Written.
The following table setstables set forth our insurance segment’s net premiums written by major line of business:
Year Ended December 31,
20202019
Amount%Amount%
Property, energy, marine and aviation$619,034 19.6$368,120 13.9
Professional Lines743,486 23.5534,323 20.2
Programs437,973 13.8426,535 16.1
Construction and national accounts364,104 11.5369,202 14.0
Excess and surplus casualty297,330 9.4228,023 8.6
Travel, accident and health212,974 6.7305,170 11.6
Lenders products156,119 4.9111,708 4.2
Other331,887 10.5298,645 11.3
Total$3,162,907 100.0$2,641,726 100.0
 Year Ended December 31,
 2017 2016
 Amount % Amount %
Professional lines$452,748
 21.3 $440,149
 21.2
Programs386,618
 18.2 330,322
 15.9
Construction and national accounts327,648
 15.4 328,997
 15.9
Travel, accident and health247,738
 11.7 224,380
 10.8
Excess and surplus casualty179,511
 8.5 214,863
 10.4
Property, energy, marine and aviation172,240
 8.1 175,376
 8.5
Lenders products96,867
 4.6 105,650
 5.1
Other259,070
 12.2 252,544
 12.2
Total$2,122,440
 100.0 $2,072,281
 100.0
2017 versus 2016: Net premiums written by the insurance segment were 2.4%19.7% higher in 20172020 than in 2016.2019. The increase in net premiums written reflected growth in programs, due to the continued effects of two newer programs, in travel, accident and health, reflecting both new travel business and continued expansion in existing travel accounts, and in professional lines, reflecting increases in small and medium sized accounts. Such amounts were partially offset by a reduction in excess and surplus casualty in response to current market conditions.


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 Year Ended December 31,
 2016 2015
 Amount % Amount %
Professional lines$440,149
 21.2 $434,024
 21.2
Programs330,322
 15.9 423,157
 20.7
Construction and national accounts328,997
 15.9 299,463
 14.6
Travel, accident and health224,380
 10.8 160,132
 7.8
Excess and surplus casualty214,863
 10.4 204,856
 10.0
Property, energy, marine and aviation175,376
 8.5 203,186
 9.9
Lenders products105,650
 5.1 106,916
 5.2
Other252,544
 12.2 213,937
 10.5
Total$2,072,281
 100.0 $2,045,671
 100.0
2016 versus 2015: Net premiums written by the insurance segment were 1.3% higher in 2016 than in 2015. The increase in net premiums written reflected growth in travel, accident and health, construction and national accounts and alternative markets business, partially offset by a reduction in programs and property lines. The growth in travel, accident and health reflected both new travel business and continued expansion in existing travel accounts. The increase in construction and national accounts primarily reflected new business and audit premiums while the increase in alternative markets resulted from new accounts, exposure growth and audit premiums. The reduction in program business primarily reflected the continued impact of the non-renewal of a large program in the latter part of 2015 while the lower level of net premiums written reflected increases across most lines of business, due in property lines reflected continued weak market conditions.part to new business opportunities, rate increases and growth in existing accounts, partially offset by a decrease in travel business, reflecting the ongoing impact of the COVID-19 global pandemic.
Net Premiums Earned.
The following table setstables set forth our insurance segment’s net premiums earned by major line of business:
Year Ended December 31,
20202019
Amount%Amount%
Property, energy, marine and aviation$517,247 18.0$298,966 12.5
Professional Lines655,87222.8499,22420.8
Programs432,85415.1414,10317.3
Construction and national accounts387,93413.5325,68713.6
Excess and surplus casualty270,6209.4200,6158.4
Travel, accident and health190,9446.6305,08512.7
Lenders products114,6874.066,0792.8
Other301,26210.5287,32112.0
Total$2,871,420 100.0$2,397,080 100.0
 Year Ended December 31,
 2017 2016
 Amount % Amount %
Professional lines$444,137
 21.0 $431,391
 20.8
Programs364,639
 17.3 357,715
 17.2
Construction and national accounts324,517
 15.4 322,072
 15.5
Travel, accident and health257,358
 12.2 219,169
 10.6
Excess and surplus casualty195,154
 9.2 219,046
 10.6
Property, energy, marine and aviation173,779
 8.2 188,938
 9.1
Lenders products97,043
 4.6 98,517
 4.8
Other256,391
 12.1 237,056
 11.4
Total$2,113,018
 100.0 $2,073,904
 100.0


ARCH CAPITAL552020 FORM 10-K

 Year Ended December 31,
 2016 2015
 Amount % Amount %
Professional lines$431,391
 20.8 $424,968
 20.8
Programs357,715
 17.2 446,512
 21.8
Construction and national accounts322,072
 15.5 296,828
 14.5
Travel, accident and health219,169
 10.6 153,578
 7.5
Excess and surplus casualty219,046
 10.6 208,091
 10.2
Property, energy, marine and aviation188,938
 9.1 216,127
 10.6
Lenders products98,517
 4.8 90,906
 4.4
Other237,056
 11.4 207,798
 10.2
Total$2,073,904
 100.0 $2,044,808
 100.0
Net premiums earned by the insurance segment were 1.9% higher in 2017 than in 2016, reflecting changes in net premiums written over the previous five quarters. Net premiums earned by the insurance segment were 1.4% higher in 2016 than in 2015.
Losses and Loss Adjustment Expenses.
The table below shows the components of the insurance segment’s loss ratio:
Year Ended December 31,
20202019
Current year73.2 %68.1 %
Prior period reserve development(0.3)%(0.7)%
Loss ratio72.9 %67.4 %
 Year Ended December 31,
 2017 2016 2015
Current year77.2 % 67.1 % 65.5 %
Prior period reserve development(0.4)% (1.6)% (2.3)%
Loss ratio76.8 % 65.5 % 63.2 %
Current Year Loss Ratio.
2017 versus 2016: The insurance segment’s current year loss ratio was 10.15.1 points higher in 20172020 than in 2016.2019. The 20172020 loss ratio included 10.39.5 points of current year catastrophic event activity, primarilyincluding 4.1 points for exposure related to Hurricanes Harvey, Irma and Maria and the California wildfires,COVID-19, compared to 2.21.4 points in 2016.2019. The 2017balance of the change in the 2020 loss ratio also reflectedresulted, in part, from the effect of rate increases, changes in mix of business and the level of attritional large losses and changes in the mix of business.losses.
2016 versus 2015: The insurance segment’s current year loss ratio was 1.6 points higher in 2016 than in 2015. The 2016 loss ratio included 2.2 points of current year catastrophic event activity, compared to 1.0 points in 2015. The 2016 loss ratio also reflected changes in the mix of business.
Prior Period Reserve Development.
The insurance segment’s net favorable development was $8.6$7.8 million, or 0.40.3 points, for 2017,2020, compared to $33.1$15.8 million, or 1.60.7 points, for 2016, and $47.2 million, of 2.3 points, for 2015.2019. See note 6,5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements in Item 8


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for information about the insurance segment’s prior year reserve development.
Underwriting Expenses.
2017 versus 2016: The insurance segment’s underwriting expense ratio was 32.3% in 2017, compared to 31.6% in 2016. The comparison of the underwriting expense ratios reflects changes in the level of reinsurance ceded on a quota share basis and changes in the mix of business.
2016 versus 2015:The insurance segment’s underwriting expense ratio was 31.6% in 2016,2020, compared to 31.8%34.1% in 2015. The underwriting expense ratios were generally flat2019, with the decrease primarily primarily due to growth in 2016 when compared to 2015.net premiums earned.
Reinsurance Segment
The following table setstables set forth our reinsurance segment’s underwriting results:
 Year Ended December 31,
 2017 2016 % Change
Gross premiums written$1,640,399
 $1,494,397
 9.8
Premiums ceded(465,925) (440,541)  
Net premiums written1,174,474
 1,053,856
 11.4
Change in unearned premiums(31,853) 2,376
  
Net premiums earned1,142,621
 1,056,232
 8.2
Other underwriting income11,336
 36,403
  
Losses and loss adjustment expenses(773,923) (475,762)  
Acquisition expenses(221,250) (212,258)  
Other operating expenses(146,663) (142,616)  
Underwriting income$12,121
 $261,999
 (95.4)
      
Underwriting Ratios    % Point Change
Loss ratio67.7% 45.0% 22.7
Acquisition expense ratio19.4% 20.1% (0.7)
Other operating expense ratio12.8% 13.5% (0.7)
Combined ratio99.9% 78.6% 21.3
Year Ended December 31,
20202019% Change
Gross premiums written$3,472,086 $2,323,223 49.5 
Premiums ceded(1,014,716)(720,500)
Net premiums written2,457,370 1,602,723 53.3 
Change in unearned premiums(295,141)(136,334)
Net premiums earned2,162,229 1,466,389 47.5 
Other underwriting income (loss)4,454 6,444 
Losses and loss adjustment expenses(1,628,320)(1,011,329)
Acquisition expenses(354,048)(239,032)
Other operating expenses(168,011)(141,484)
Underwriting income$16,304 $80,988 (79.9)
Underwriting Ratios% Point Change
Loss ratio75.3 %69.0 %6.3 
Acquisition expense ratio16.4 %16.3 %0.1 
Other operating expense ratio7.8 %9.6 %(1.8)
Combined ratio99.5 %94.9 %4.6 
 Year Ended December 31,
 2016 2015 % Change
Gross premiums written$1,494,397
 $1,419,022
 5.3
Premiums ceded(440,541) (380,614)  
Net premiums written1,053,856
 1,038,408
 1.5
Change in unearned premiums2,376
 38,727
  
Net premiums earned1,056,232
 1,077,135
 (1.9)
Other underwriting income36,403
 10,606
  
Losses and loss adjustment expenses(475,762) (440,350)  
Acquisition expenses(212,258) (222,470)  
Other operating expenses(142,616) (155,811)  
Underwriting income$261,999
 $269,110
 (2.6)
      
Underwriting Ratios    % Point Change
Loss ratio45.0% 40.9% 4.1
Acquisition expense ratio20.1% 20.7% (0.6)
Other operating expense ratio13.5% 14.5% (1.0)
Combined ratio78.6% 76.1% 2.5

The reinsurance segment consists of our reinsurance underwriting units which offer specialty product lines on a worldwide basis. Product lines include:basis, as described in note 4, “Segment Information,” to our consolidated financial statements in Item 8.

Casualty: provides coverage to ceding company clients on third party liability and workers’ compensation exposures from ceding company clients, primarily on a treaty basis. Exposures include, among others, executive assurance, professional liability, workers’ compensation, excess and umbrella liability, excess motor and healthcare business.
Marine and aviation: provides coverage for energy, hull, cargo, specie, liability and transit, and aviation business, including airline and general aviation risks. Business written may also include space business, which includes coverages for satellite assembly, launch and operation for commercial space programs.
Other specialty: provides coverage to ceding company clients for proportional motor and other lines, including surety, accident and health, workers’ compensation catastrophe, agriculture, trade credit and political risk.
Property catastrophe: provides protection for most catastrophic losses that are covered in the underlying policies written by reinsureds, including hurricane, earthquake, flood, tornado, hail and fire, and coverage for other perils on a case-by-case basis. Property catastrophe reinsurance provides coverage on an excess of loss basis when aggregate losses and loss adjustment expense from a single occurrence or aggregation of losses from a covered peril exceed the retention specified in the contract.
Property excluding property catastrophe: provides coverage for both personal lines and commercial property exposures and principally covers buildings, structures, equipment and contents. The primary perils in this business include fire, explosion, collapse, riot, vandalism, wind, tornado,


ARCH CAPITAL622017 FORM 10-K



flood and earthquake. Business is assumed on both a proportional and excess of loss basis. In addition, facultative business is written which focuses on individual commercial property risks on an excess of loss basis.
Other: includes life reinsurance business on both a proportional and non-proportional basis, casualty clash business and, in limited instances, non-traditional business which is intended to provide insurers with risk management solutions that complement traditional reinsurance.
Premiums Written.
The following table setstables set forth our reinsurance segment’s net premiums written by major line of business:
Year Ended December 31,
20202019
Amount%Amount%
Property excluding property catastrophe$697,086 28.4$403,320 25.2
Property catastrophe286,210 11.6110,643 6.9
Other Specialty709,308 28.9466,977 29.1
Casualty542,319 22.1510,374 31.8
Marine and aviation141,414 5.853,679 3.3
Other81,0333.357,7303.6
Total$2,457,370 100.0$1,602,723 100.0
 Year Ended December 31,
 2017 2016
 Amount % Amount %
Other specialty$459,213
 39.1 $348,852
 33.1
Casualty340,429
 29.0 305,252
 29.0
Property excluding property catastrophe243,693
 20.7 267,548
 25.4
Property catastrophe70,155
 6.0 75,789
 7.2
Marine and aviation32,759
 2.8 37,790
 3.6
Other28,225
 2.4 18,625
 1.8
Total$1,174,474
 100.0 $1,053,856
 100.0
        
Pro rata$708,694
 60.3 $558,671
 53.0
Excess of loss465,780
 39.7 495,185
 47.0
Total$1,174,474
 100.0 $1,053,856
 100.0
2017 versus 2016: Gross premiums written by the reinsurance segment in 20172020 were 9.8%49.5% higher than in 2016,2019, while net premiums written were 11.4%53.3% higher than in 2016. Premiums2019. The growth in net premiums written reflected growthincreases in other specialty business, primarily in international motor quota share contracts, and in casualtymost lines of business, primarily due to a $45.4 million retroactive reinsurance contract which was substantially earnedgrowth in the periodexisting accounts, new business, and resulted in a corresponding increase to losses and loss adjustment expenses. Such amounts were partially offset by a reduction in property excluding property catastrophe business, primarily related to a targeted reduction in onshore energy writings.rate increases.
 Year Ended December 31,
 2016 2015
 Amount % Amount %
Other specialty$348,852
 33.1 $298,794
 28.8
Casualty305,252
 29.0 303,093
 29.2
Property excluding property catastrophe267,548
 25.4 280,511
 27.0
Property catastrophe75,789
 7.2 91,620
 8.8
Marine and aviation37,790
 3.6 50,834
 4.9
Other18,625
 1.8 13,556
 1.3
Total$1,053,856
 100.0 $1,038,408
 100.0
        
Pro rata$558,671
 53.0 $537,556
 51.8
Excess of loss495,185
 47.0 500,852
 48.2
Total$1,053,856
 100.0 $1,038,408
 100.0

ARCH CAPITAL562020 FORM 10-K

2016 versus 2015: Gross premiums written by the reinsurance segment in 2016 were 5.3% higher than in 2015, while net premiums written were 1.5% higher than in 2015. Premiums written reflects the 2016 second quarter loss portfolio transfer in the other specialty line which resulted in $52.1 million of gross premiums written and $40.2 million of net premiums written. Such premium was substantially earned in the period and resulted in a corresponding increase to losses and loss adjustment expenses. Excluding the loss portfolio transfer, net premiums written were lower by 2.4%, reflecting decreases in property (both catastrophe and non-catastrophe exposed) and marine and aviation lines, reflecting a higher level of ceded premiums and competitive market conditions.
Net Premiums Earned.
The following table setstables set forth our reinsurance segment’s net premiums earned by major line of business:
 Year Ended December 31,
 2017 2016
 Amount % Amount %
Other specialty$408,566
 35.8 $329,994
 31.2
Casualty341,122
 29.9 300,160
 28.4
Property excluding property catastrophe255,453
 22.4 282,018
 26.7
Property catastrophe73,300
 6.4 73,803
 7.0
Marine and aviation36,214
 3.2 52,579
 5.0
Other27,966
 2.4 17,678
 1.7
Total$1,142,621
 100.0 $1,056,232
 100.0
        
Pro rata$657,490
 57.5 $561,986
 53.2
Excess of loss485,131
 42.5 494,246
 46.8
Total$1,142,621
 100.0 $1,056,232
 100.0


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Year Ended December 31,
Year Ended December 31,20202019
2016 2015Amount%Amount%
Amount % Amount %
Other specialty$329,994
 31.2 $311,307
 28.9
Casualty300,160
 28.4 310,249
 28.8
Property excluding property catastrophe282,018
 26.7 295,487
 27.4Property excluding property catastrophe$562,208 26.0$362,841 24.7
Property catastrophe73,803
 7.0 96,865
 9.0Property catastrophe237,736 11.090,934 6.2
Other SpecialtyOther Specialty626,409 29.0478,517 32.6
CasualtyCasualty549,056 25.4429,288 29.3
Marine and aviation52,579
 5.0 50,808
 4.7Marine and aviation109,624 5.148,274 3.3
Other17,678
 1.7 12,419
 1.2Other77,196 3.656,535 3.9
Total$1,056,232
 100.0 $1,077,135
 100.0Total$2,162,229 100.0$1,466,389 100.0
       
Pro rata$561,986
 53.2 $563,585
 52.3
Excess of loss494,246
 46.8 513,550
 47.7
Total$1,056,232
 100.0 $1,077,135
 100.0
Net premiums earned in 20172020 were 8.2%47.5% higher than in 2016,2019, reflecting changes in net premiums written over the previous five quarters, including the mix and type of business written and a higher level of retrocessions. Net premiums earned in 2016 were 1.9% lower than in 2015.written.
Other Underwriting Income.Income (Loss).
Other underwriting income in 20172020 was $11.3$4.5 million, compared to $36.4$6.4 million in 2016 and $10.6 million in 2015. The 2016 period included $19.1 million related to a contract which was commuted during the 2016 second quarter. This contract had been reflected as a deposit accounting liability (i.e., a contract that, in accordance with GAAP, does not pass risk transfer) prior to the commutation.2019.
Losses and Loss Adjustment Expenses.
The table below shows the components of the reinsurance segment’s loss ratio:
Year Ended December 31,
20202019
Current year81.5 %72.2 %
Prior period reserve development(6.2)%(3.2)%
Loss ratio75.3 %69.0 %
 Year Ended December 31,
 2017 2016 2015
Current year82.2 % 65.7 % 61.8 %
Prior period reserve development(14.5)% (20.7)% (20.9)%
Loss ratio67.7 % 45.0 % 40.9 %
Current Year Loss Ratio.
2017 versus 2016: The reinsurance segment’s current year loss ratio was 16.59.3 points higher in 20172020 than in 2016.2019. The 20172020 loss ratio included 16.020.1 points for current year catastrophic event activity, including 7.2 points for exposure related to COVID-19, compared to 5.7 points in 2019, primarily related to Hurricanes Harvey, IrmaHurricane Dorian and MariaTyphoons Hagibis and the California wildfires, compared to 4.1 points in 2016. In addition, the loss ratio for 2017 reflects the impact of the retroactive reinsurance contract noted above (net premiums earned at a high loss ratio), which increased the current year loss ratio by 1.3 points.Faxai. The balance of the change in the 20172020 current year loss ratio resulted, in part, from the effectseffect of market conditions andrate increases, changes in the mix of business.
business and the level of attritional losses.
2016 versus 2015: The reinsurance segment’s current year loss ratio was 3.9 points higher in 2016 than in 2015. The 2016 loss ratio included 4.1 points for current year catastrophic event activity, compared to 3.5 points in 2015. The 2016 current year loss ratio reflected a significantly lower contribution from property lines than in 2015. In addition, the loss ratio for 2016 reflects the impact of a loss portfolio transfer (net premiums earned at a high loss ratio), which increased the current year loss ratio by 2.1 points.
Prior Period Reserve Development.
The reinsurance segment’s net favorable development was $165.4$134.0 million, or 14.56.2 points, for 2017,2020, compared to $218.8$46.4 million, or 20.73.2 points, for 2016, and $224.8 million, of 20.9 points, for 2015.2019, See note 6,5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements in Item 8 for information about the reinsurance segment’s prior year reserve development.
Underwriting Expenses.
2017 versus 2016: The underwriting expense ratio for the reinsurance segment was 32.2%24.2% in 2017,2020, compared to 33.6%25.9% in 2016. Due to intercompany loss portfolio transfers effective on December 31, 2017 that transferred $1.36 billion of2019, reflecting growth in net retained reserves for losses and allocated loss adjustment expenses between subsidiaries, the reinsurance segment’s 2017 acquisition expense ratio reflected 1.2 points of federal excise taxes in connection with such activity. The comparison of the underwriting expense ratios primarily reflected changes in the mix and type of business.
2016 versus 2015: The underwriting expense ratio for the reinsurance segment was 33.6% in 2016, compared to 35.2% in 2015. The 2016 ratio reflected approximately 1.3 points of benefit from the loss portfolio transfer noted above (net premiums earned with no related expenses).earned.
Mortgage Segment
Our mortgage operations include U.S. and international mortgage insurance and reinsurance operations as well as participation in GSE credit risk sharingrisk-sharing transactions. Our mortgage group includes direct mortgage insurance in the U.S. primarily provided bythrough Arch Mortgage Insurance Company, and United Guaranty Residential Insurance Company and Arch Mortgage Guaranty Company (together, “Arch MI U.S.”), as well as through Arch Mortgage Guaranty Company;; mortgage reinsurance bythrough Arch Re Bermuda to mortgage insurers on both a proportional and non-proportional basis globally; direct mortgage insurance in Europe provided bythrough Arch MI EuropeInsurance (EU) and in Hong Kong bythrough Arch MI Asia; in Australia through Arch LMI; and participation in various GSE credit risk-sharing products provided primarily bythrough Arch Re Bermuda.


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The following tables set forth our mortgage segment’s underwriting results. On December 31, 2016, we completed the acquisition
Year Ended December 31,
20202019% Change
Gross premiums written$1,473,999 $1,466,265 0.5 
Premiums ceded(194,149)(204,509)
Net premiums written1,279,850 1,261,756 1.4 
Change in unearned premiums118,085 104,584 
Net premiums earned1,397,935 1,366,340 2.3 
Other underwriting income20,316 16,005 
Losses and loss adjustment expenses(528,344)(53,513)
Acquisition expenses(134,240)(134,319)
Other operating expenses(162,202)(153,092)
Underwriting income$593,465 $1,041,421 (43.0)
Underwriting Ratios% Point Change
Loss ratio37.8 %3.9 %33.9 
Acquisition expense ratio9.6 %9.8 %(0.2)
Other operating expense ratio11.6 %11.2 %0.4 
Combined ratio59.0 %24.9 %34.1 

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 Year Ended December 31,
 2017 2016 % Change
Gross premiums written$1,368,138
 $499,725
 173.8
Premiums ceded(256,796) (108,259)  
Net premiums written1,111,342
 391,466
 183.9
Change in unearned premiums(54,176) (104,750)  
Net premiums earned1,057,166
 286,716
 268.7
Other underwriting income15,737
 17,024
  
Losses and loss adjustment expenses(134,677) (28,943)  
Acquisition expenses(100,598) (21,790)  
Other operating expenses(146,336) (96,672)  
Underwriting income$691,292
 $156,335
 342.2
      
Underwriting Ratios    % Point Change
Loss ratio12.7% 10.1% 2.6
Acquisition expense ratio9.5% 7.6% 1.9
Other operating expense ratio13.8% 33.7% (19.9)
Combined ratio36.0% 51.4% (15.4)
 Year Ended December 31,
 2016 2015 % Change
Gross premiums written$499,725
 $295,557
 69.1
Premiums ceded(108,259) (28,064)  
Net premiums written391,466
 267,493
 46.3
Change in unearned premiums(104,750) (53,383)  
Net premiums earned286,716
 214,110
 33.9
Other underwriting income17,024
 18,430
  
Losses and loss adjustment expenses(28,943) (40,247)  
Acquisition expenses(21,790) (30,817)  
Other operating expenses(96,672) (78,142)  
Underwriting income$156,335
 $83,334
 87.6
      
Underwriting Ratios    % Point Change
Loss ratio10.1% 18.8% (8.7)
Acquisition expense ratio7.6% 14.4% (6.8)
Other operating expense ratio33.7% 36.5% (2.8)
Combined ratio51.4% 69.7% (18.3)

Premiums Written.
The following table sets forth our mortgage segment’s net premiums written by client location and underwriting location (i.e., where the business is underwritten):
Year Ended December 31,
20202019
Net premiums written by underwriting location
United States$1,021,950 $1,032,868 
Other257,900228,888
Total$1,279,850 $1,261,756 
 Year Ended December 31,
 2017 2016 2015
Net premiums written by client location     
United States$1,005,437
 $280,509
 $193,617
Other105,905
 110,957
 73,876
Total$1,111,342
 $391,466
 $267,493
      
Net premiums written by underwriting location     
United States$903,329
 $186,826
 $125,317
Other208,013
 204,640
 142,176
Total$1,111,342
 $391,466
 $267,493
2017 versus 2016: Gross premiums written by the mortgage segment in 20172020 were 173.8%0.5% higher than in 2016,2019. Net premiums written for 2020 were 1.4% higher than in the 2019 period primarily reflecting growth in Australian single premium mortgage insurance, partially offset by a lower level of U.S. primary mortgage insurance in force due to the acquisition of UGC, while net premiums written increased 183.9%. on monthly premium policies.
The persistency rate of the primary portfolio of mortgage loans of Arch MI U.S. was 81.8%58.7% at December 31, 2017.2020 compared to 75.7% at December 31, 2019, with the decrease primarily reflecting a higher level of refinancing activity. The persistency rate represents the percentage of mortgage insurance in force at the beginning of a 12-month period that remains in force at the end of such period.
2016 versus 2015: Gross premiums written by the mortgage segment in 2016 were 69.1% higher than in 2015, reflecting growth in Australian mortgage reinsurance, in U.S. primary business and from GSE credit risk-sharing transactions receiving insurance accounting treatment. The lower increase in net premiums written of 46.3% reflected retrocessions on Australian mortgage reinsurance business covering exposures written since May 2015, including a substantial portion representing catch up premiums.
Arch MI U.S. generated $62.0 billion of new insurance written (“NIW”) during 2017. NIW represents the original principal balance of all loans that received coverage during the period.


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Net Premiums Earned.
The following table sets forth our mortgage segment’s net premiums earned by client location and underwriting location (i.e., where the business is underwritten):
Year Ended December 31,
Year Ended December 31,
2017 2016 2015
Net premiums earned by client location     
United States$1,014,439
 $265,527
 $202,930
Other42,727
 21,189
 11,180
Total$1,057,166
 $286,716
 $214,110
     20202019
Net premiums earned by underwriting location     Net premiums earned by underwriting location
United States$901,858
 $155,929
 $113,062
United States$1,158,563 $1,134,849 
Other155,308
 130,787
 101,048
Other239,372231,491
Total$1,057,166
 $286,716
 $214,110
Total$1,397,935 $1,366,340 
Net premiums earned for 2017 was substantially2020 were 2.3% higher than in 2016,2019, primarily reflecting a higher level of single premiums earned as a result of policy terminations due to the acquisition of UGC. Growth from 2015 to 2016 primarily reflected growth of U.S. primary business along with a higher earned contribution from the mortgage segment’s quota share reinsurance business.refinance activity.
Other Underwriting Income.
Other underwriting income, which is primarily relateddue in part to GSE risk-sharing transactions receiving derivative accounting treatment was $15.7$20.3 million for 2017,2020, compared to $17.0$16.0 million for 2016 and $18.4 million for 2015.2019.

Losses and Loss Adjustment Expenses.
The table below shows the components of the mortgage segment’s loss ratio:
Year Ended December 31,Year Ended December 31,
2017 2016 201520202019
Current year21.7 % 17.5 % 24.5 %Current year39.2 %13.1 %
Prior period reserve development(9.0)% (7.4)% (5.7)%Prior period reserve development(1.4)%(9.2)%
Loss ratio12.7 % 10.1 % 18.8 %Loss ratio37.8 %3.9 %
Unlike property and casualty business for which we estimate ultimate losses on premiums earned, losses on mortgage insurance business are only recorded at the time a borrower is delinquent on their mortgage, in accordance with primary mortgage insurance industry practice. Because our primary mortgage insurance reserving process does not take into account the impact of future losses from loans that are not delinquent, mortgage insurance loss reserves are not an estimate of ultimate losses. In addition to establishing loss reserves for delinquent loans, under GAAP, we are required to establish a premium deficiency reserve for our mortgage insurance products if the amount of expected future losses and
maintenance costs exceeds expected future premiums, existing reserves and the anticipated investment income for such product. We evaluate whetherassess the need for a premium deficiency exists quarterly.reserve on a quarterly basis and perform a full analysis annually. No such reserve was established during 2017.2020 and 2019.
Current Year Loss Ratio.
The mortgage segment’s current year loss ratio was 4.226.1 points higher in 20172020 compared to 2016 and 7.0 points lower2019. The percentage of loans in 2016 compareddefault on U.S. primary mortgage insurance increased from 1.54% at December 31, 2019 to 2015. The current year loss ratio4.19% at December 31, 2020.
Incurred losses for 2017 reflects changesthe 2020 periods reflected elevated delinquency rates due, in part, to financial stress from the mix of businessCOVID-19 pandemic. Segregating estimated losses due to COVID-19 from the UGC acquisition when compared to 2016, andoverall mortgage segment estimated losses would require knowledge of the impactnumber of delinquencies emanatingspecifically attributable to COVID-19. As this exercise cannot be performed accurately, the Company is not reporting COVID-19 provisions separately from new notices from areas impacted by the 2017 third quarter hurricanes. The lower current yearits overall loss ratio for 2016 compared to 2015 also reflected changes in the mix of business and a decrease in delinquent loans and a lower claim rate on such loans.provisions.
We insure mortgages for homes in areas that have been impacted by catastrophic events, such as Hurricanes Harvey and Irma. We experienced an increase in delinquency notices on insured loans impacted by such events in the 2017 fourth quarter.events. Generally, mortgage insurance losses occur only when a credit event occurs and, following a physical damage event, when the home is restored to pre-storm condition. Our ultimate claims exposure will depend on the number of delinquency notices received and the ultimate claim rate related to such notices. In the event of natural disasters, cure rates are influenced by the

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adequacy of homeowners and flood insurance carried on a related property, and a borrower's access to aid from government entities and private organizations, in addition to other factors which generally impact cure rates in unaffected areas. Management anticipates that subsequent quarters may experience some loss activity from the impacted areas, but does not expect this to be material.
Prior Period Reserve Development.
The mortgage segment’s net favorable development was $95.0$19.0 million, or 9.01.4 points, for 2017,2020, compared to $21.2$125.2 million, or 7.49.2 points, for 2016, and $12.3 million, or 5.7 points, for 2015. The 2017 increase in net favorable development was primarily on the acquired UGC reserves.2019. See note 6,5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements in Item 8 for information about the mortgage segment’s prior year reserve development.
Underwriting Expenses.
2017 versus 2016:The underwriting expense ratio for the mortgage segment was 23.3%21.2% for 2017, compared to 41.3%2020, in line with 21.0% for 2016. The decrease in the underwriting expense ratio reflects the higher level of net premiums earned and expense savings from integration efforts following the acquisition of UGC.
2016 versus 2015: The underwriting expense ratio for the mortgage segment was 41.3% for 2016, compared to 50.9% for


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2015. The decrease in the underwriting expense ratio reflects the expansion of the mortgage segment’s insurance in force in 2016.2019.
Corporate (Non-Underwriting) Segment
The corporate (non-underwriting) segment results include net investment income, other income (loss), corporate expenses, transaction costs and other, amortization of intangible assets, interest expense, items related to our non-cumulative preferred shares, net realized gains or losses, net impairment losses included in earnings, equity in net income or loss of investment fundsinvestments accounted for using the equity method, net foreign exchange gains or losses UGC transaction costs and other, income taxes and items related to our non-cumulative preferred shares.taxes. Such amounts exclude the results of the ‘other’ segment.
Net Investment Income.
The components of net investment income were derived from the following sources:
Year Ended December 31,
20202019
Fixed maturities$358,804 $440,824 
Equity securities28,007 13,455 
Short-term investments6,573 14,642 
Other (1)77,951 86,440 
Gross investment income471,335 555,361 
Investment expenses (2)(69,427)(64,294)
Net investment income$401,908 $491,067 
 Year Ended December 31,
 2017 2016 2015
Fixed maturities$336,894
 $242,310
 $241,389
Equity securities12,703
 13,823
 14,339
Short-term investments9,343
 3,619
 574
Other (1)79,789
 66,300
 61,011
Gross investment income438,729
 326,052
 317,313
Investment expenses (2)(56,657) (48,859) (45,633)
Net investment income$382,072
 $277,193
 $271,680
(1)    Amounts include dividends and other distributions on investment funds, term loan investments, funds held balances, cash balances and other.
(1)Amounts include dividends and other distributions on investment funds, term loan investments, funds held balances, cash balances and other.
(2)Investment expenses were approximately 0.30% of average invested assets for 2017, compared to 0.34% for 2016 and 0.35% for 2015.

(2)    Investment expenses were approximately 0.31% of average invested assets for 2020, compared to 0.33% for 2019.

The pre-tax investment income yield was 2.06%1.78% for 2017,2020, compared to 1.92%2.52% for 2016 and 2.06% for 2015.2019. The comparabilitylower level of net investment income between the periods was influenced by the increase in investable assets resulting from the UGC acquisition, repurchase activity under our share repurchase program, as well as changesfor 2020 compared to 2019 reflected lower yields available in the pre-tax investment income yield, reflecting changes in investment allocations and the impact of prevailing interest rates.financial markets. The pre-tax
investment income yields were calculated based on amortized cost. Yields on future investment income may vary based on financial market conditions, investment allocation decisions and other factors.
Corporate Expenses.
Corporate expenses were $61.6$68.5 million for 2017,2020, compared to $49.4$65.7 million for 2016 and $49.7 million for 2015.2019. Such amounts primarily represent certain holding company costs necessary to support our worldwide insurance and reinsurance operations and costs associated with operating as a publicly traded company.
Transaction Costs and Other.
Transaction costs and other were $9.5 million for 2020, compared to $14.4 million for 2019. Amounts in both periods are primarily related to acquisition activity.
Amortization of Intangible Assets.
Amortization of intangible assets for 2020 was $69.0 million, compared to $82.1 million for 2019 . Amounts in 2020 and 2019 primarily related to amortization of finite-lived intangible assets related to our 2016 acquisition of United Guaranty Corporation.
Interest Expense.
Interest expense was $103.6$120.2 million for 2017,2020, compared to $53.5$93.7 million for 2016 and $41.5 million for 2015.2019. Interest expense primarily reflects amounts related to our outstanding senior notes, revolving credit agreement borrowings and other. We issued $950.0 millionnotes. The higher level of interest expense mainly resulted from the issuance of $1.0 billion of 3.635% senior notes in December 2016 in connection with the UGC acquisition and borrowed $400.0 million on our revolving credit agreement. During 2017, we repaid $125 million of such borrowings. As such, our borrowing costs were higher for 2017 than in the 2016 and 2015 periods.
Loss on Redemption of Preferred Shares.
In September 2017, we redeemed $230 million of 6.75% Series C preferred shares and, in accordance with GAAP, recorded a loss of $6.7 million to remove original issuance costs related to the redeemed shares from additional paid-in capital. Such adjustment had no impact on total shareholders’ equity or cash flows.June 2020.
Net Realized Gains (Losses).
We recorded net realized gains of $148.8$813.8 million for 2017,2020, compared to net realized gains of $69.6$348.0 million for 2016 and net realized losses of $99.1 million for 2015.2019. Currently, our portfolio is actively managed to maximize total return within certain guidelines. The effect of financial market movements on the investment portfolio will directly impact net realized gains and losses as the portfolio is adjusted and rebalanced. Net realized gains or losses from the sale of fixed maturities primarily results from our decisions to reduce credit exposure, to change duration targets, to rebalance our portfolios or due to relative value determinations.
Net realized gains or losses also includesinclude realized and unrealized contract gains and losses on our derivative instruments, changes in the fair value of assets and liabilities accounted for using the fair value option and in the fair value of equities, along with re-measurement of contingent consideration liability amounts.
Net Impairment Losses Recognizedchanges in Earnings.
For 2017, we recorded $7.1 million ofthe allowance for credit related impairments in earnings, compared to $30.4 million in 2016losses on financial assets and $20.1 million in 2015. Thenet impairment losses recordedrecognized in 2017 were primarily related to foreign currency and the liquidation of one portfolio, while the 2016 period included reductions on two asset backed securities based on information received from external investment managers and a review of cash flow projections in order to determine expected recovery values.earnings. See note 9, “Investment Information—Other-Than-Temporary Impairments,Net Realized Gains (Losses), to our consolidated financial statements for

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additional information. See note 9, “Investment Information—Allowance for Credit Losses,” to our consolidated financial statements for additional information.
Equity in Net Income (Loss) of Investments Accounted for Using the Equity Method.
We recorded $146.7 million of equity in net income related to investments accounted for using the equity method for 2020, compared to $123.7 million for 2019. Investments accounted for using the equity method totaled $2.0 billion at December 31, 2020, compared to $1.7 billion at December 31, 2019. See note 9, “Investment Information—Equity in Net Income (Loss) of Investments Accounted For Using the Equity Method,” to our consolidated financial statements in Item 8 for additional information.


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Equity in Net Income (Loss) of Investment Funds Accounted for Using the Equity Method.
We recorded $142.3 million of equity in net income related to investment funds accounted for using the equity method for 2017, compared to $48.5 million for 2016 and $25.5 million for 2015. The increase reflected strong returns on funds invested in global equities and other strategies. Investment funds accounted for using the equity method totaled $1.04 billion at December 31, 2017, compared to $811.3 million at December 31, 2016. See note 9, “Investments—Equity in Net Income (Loss) of Investment Funds Accounted For Using the Equity Method,” to our consolidated financial statements in Item 8 for additional information.
Net Foreign Exchange Gains or Losses.
Net foreign exchange losses for 20172020 were $113.3$80.2 million, compared to net foreign exchange gainslosses for 20162019 of $31.4 million and net foreign exchange gains for 2015 of $62.6$9.3 million. Amounts in such periods were primarily unrealized and resulted from the effects of revaluing our net insurance liabilities required to be settled in foreign currencies at each balance sheet date.
UGC Transaction Costs and Other.
UGC transaction costs and other were $22.2 million for 2017, compared to $41.7 million for 2016. For 2017, UGC transaction costs and other primarily related to severance and severance related costs related to the UGC acquisition. For 2016, UGC transaction costs and other included $32.3 million of non-recurring costs such as advisory, financing and legal.
Income Tax Expense.
Our income tax provision on income before income taxes resulted in an expense of 17.1%7.4% for 2017,2020, compared to an expense of 4.3%8.7% for 2016 and an expense of 7.0% for 2015.2019. Our effective tax rate fluctuates from year to year consistent with the relative mix of income or loss reported by jurisdiction and the varying tax rates in each jurisdiction. Income tax expense for 2017 included a net $8.1 million charge due to the revaluation of our net U.S. deferred tax asset resulting from the reduction in the U.S. corporate income tax rate from 35% to 21% effective January 1, 2018. We recorded a $21.5 million income tax expense outside of after-tax operating income available to Arch common shareholders, a non-GAAP measure, for the pure impact of the U.S. corporate tax rate reduction and a partially offsetting income tax benefit as part of after-tax operating income available to Arch common shareholders for actions taken by management, resulting in the net $8.1 million charge due to the revaluation of our net U.S. deferred tax asset resulting from the reduction in the U.S. corporate income tax rate.
See “General—Comment on Non-GAAP Financial Measures.”
See note 14,15, “Income Taxes,” to our consolidated financial statements in Item 8 for a reconciliation of the difference between the provision for income taxes and the expected tax provision at the weighted average statutory tax rate for 2017, 20162020 and 2015.2019.
Other Segment
The ‘other’ segment includes the results of Watford Re.Watford. Pursuant to generally accepted accounting principles (“GAAP”), Watford Re is considered a variable interest entity and we concluded that we are the primary beneficiary of Watford Re.Watford. As such, we consolidate the results of Watford Re in our consolidated financial statements, although we only own approximately 11%13% of Watford Re’sWatford’s common equity.equity as of December 31, 2020. See note 4,12, “Variable Interest Entity and Noncontrolling Interests,” and note 5,4, “Segment Information,” to our consolidated financial statements in Item 8 for additional information.
CRITICAL ACCOUNTING POLICIES, ESTIMATES AND RECENT ACCOUNTING PRONOUNCEMENTS
The preparation of consolidated financial statements in accordance with GAAP requires us to make many estimates and judgments that affect the reported amounts of assets, liabilities (including reserves), revenues and expenses, and related disclosures of contingent liabilities. On an ongoing basis, we evaluate our estimates, including those related to revenue recognition, insurance and other reserves, reinsurance recoverables, allowance for doubtful accounts,current expected credit losses, investment valuations, goodwill and intangible assets, bad debts, income taxes, contingencies and litigation. We base our estimates on historical experience, where possible, and on various other assumptions that we believe to be reasonable under the circumstances, which form the basis for our judgments about the carrying values of assets and liabilities that are not readily apparent from other sources. Estimates and judgments for a relatively new insurance and reinsurance company, like our company, are even more difficult to make than those made in a mature company since relatively limited historical information has been reported to us through December 31, 2017. Actual results will differ from these estimates and such differences may be material. We believe that the following critical accounting policies affect significant estimates used in the preparation of our consolidated financial statements.
Loss Reserves
We are required by applicable insurance laws and regulations and GAAP to establish reserves for losses and loss adjustment expenses, or Loss Reserves, that arise from the business we underwrite. Loss Reserves for our insurance, reinsurance and mortgage operations are balance sheet liabilities representing estimates of future amounts required to pay losses and loss adjustment expenses for insured or reinsured events which have occurred at or before the balance sheet date. Loss Reserves do not reflect contingency reserve allowances to account for future loss occurrences. Losses arising from future events will be estimated and recognized at the time the losses are incurred and could be substantial. See note 6, “Short Duration Contracts,” to our consolidated financial statements in Item 8 for additional information on our reserving process.

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At December 31, 2020 and 2019, our Loss Reserves, net of unpaid losses and loss adjustment expenses recoverable, by type and by operating segment were as follows:
December 31,
20202019
Insurance segment:
Case reserves$2,051,640 $1,601,627 
IBNR reserves3,889,8233,403,051
Total net reserves5,941,463 5,004,678 
Reinsurance segment:
Case reserves1,560,523 1,273,523 
Additional case reserves280,472166,251
IBNR reserves2,253,9531,835,993
Total net reserves4,094,948 3,275,767 
Mortgage segment:
Case reserves631,921 266,030 
IBNR reserves271,702157,712
Total net reserves903,623 423,742 
Other segment:
Case reserves566,587 478,036 
Additional case reserves32,321 29,059 
IBNR reserves660,132 597,910 
Total net reserves1,259,040 1,105,005 
Total:
Case reserves4,810,671 3,619,216 
Additional case reserves312,793195,310
IBNR reserves7,075,6105,994,666
Total net reserves$12,199,074 $9,809,192 
At December 31, 2020 and 2019, the insurance segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:
December 31,
20202019
Professional lines (1)$1,482,820 $1,322,969 
Construction and national accounts1,395,0671,248,750
Excess and surplus casualty (2)816,495564,254
Programs699,354571,926
Property, energy, marine and aviation517,692371,822
Travel, accident and health98,910109,613
Lenders products48,94628,233
Other (3)882,179787,111
Total net reserves$5,941,463 $5,004,678 
(1)    Includes professional liability, executive assurance and healthcare business.
(2)    Includes casualty and contract binding business.
(3)    Includes alternative markets, excess workers’ compensation and surety business.
At December 31, 2020 and 2019, the reinsurance segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:
December 31,
20202019
Casualty (1)$1,995,849 $1,796,073 
Other specialty (2)917,178649,309
Property excluding property catastrophe (3)594,033471,775
Marine and aviation204,205160,930
Property catastrophe268,858113,565
Other (4)114,82584,115
Total net reserves$4,094,948 $3,275,767 
(1)    Includes executive assurance, professional liability, workers’ compensation, excess motor, healthcare and other.
(2)    Includes non-excess motor, surety, accident and health, workers’ compensation catastrophe, agriculture, trade credit and other.
(3)    Includes property facultative business.
(4)    Includes life, casualty clash and other.
At December 31, 2020 and 2019, the mortgage segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:
December 31,
20202019
U.S. primary mortgage insurance (1)$649,748 $278,689 
Other253,875 145,053 
Total net reserves$903,623 $423,742 
(1)    At December 31, 2020, 27.7% of total net reserves represent policy years 2010 and prior and the remainder from later policy years. At December 31, 2019, 58.2% of total net reserves represent policy years 2010 and prior and the remainder from later policy years.
Potential Variability in Loss Reserves
The tables below summarize the effect of reasonably likely scenarios on the key actuarial assumptions used to estimate our Loss Reserves, net of unpaid losses and loss adjustment expenses recoverable, at December 31, 2020 by underwriting segment (excluding the ‘other’ segment). The scenarios shown in the tables summarize the effect of (i) changes to the expected loss ratio selections used at December 31, 2020, which represent loss ratio point increases or decreases to the expected loss ratios used, and (ii) changes to the loss development patterns used in our reserving process at December 31, 2020, which represent claims reporting that is either slower or faster than the reporting patterns used. We believe that the illustrated sensitivities are indicative of the potential variability inherent in the estimation process of those parameters. The results show the impact of varying each key actuarial assumption using the chosen sensitivity on our IBNR reserves, on a net basis and across all accident years.

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INSURANCE SEGMENTHigher Expected Loss RatiosSlower Loss Development Patterns
Reserving lines selected assumptions:
Property, energy, marine and aviation5 points3 months
Third party occurrence business106
Third party claims-made business106
Multi-line and other specialty106
Increase (decrease) in Loss Reserves:
Property, energy, marine and aviation$36,369 $51,268 
Third party occurrence business283,179 148,656 
Third party claims-made business120,367 135,996 
Multi-line and other specialty134,517 157,928 
INSURANCE SEGMENTLower Expected Loss RatiosFaster Loss Development Patterns
Reserving lines selected assumptions:
Property, energy, marine and aviation(5) points(3) months
Third party occurrence business(10)(6)
Third party claims-made business(10)(6)
Multi-line and other specialty(10)(6)
Increase (decrease) in Loss Reserves:
Property, energy, marine and aviation$(36,369)$(31,443)
Third party occurrence business(282,830)(130,607)
Third party claims-made business(119,319)(103,301)
Multi-line and other specialty(131,395)(114,712)
REINSURANCE SEGMENTHigher Expected Loss RatiosSlower Loss Development Patterns
Reserving lines selected assumptions:
Casualty10 points6 months
Other specialty53
Property excluding property catastrophe53
Property catastrophe53
Marine and aviation53
Other53
Increase (decrease) in Loss Reserves:
Casualty$141,847 $170,356 
Other specialty72,488 46,210 
Property excluding property catastrophe21,611 52,793 
Property catastrophe16,492 26,950 
Marine and aviation10,005 15,780 
Other6,844 5,357 
REINSURANCE SEGMENTLower Expected Loss RatiosFaster Loss Development Patterns
Reserving lines selected assumptions:
Casualty(10) points(6) months
Other specialty(5)(3)
Property excluding property catastrophe(5)(3)
Property catastrophe(5)(3)
Marine and aviation(5)(3)
Other(5)(3)
Increase (decrease) in Loss Reserves:
Casualty$(141,847)$(133,152)
Other specialty(72,488)(72,373)
Property excluding property catastrophe(21,611)(48,999)
Property catastrophe(16,492)(17,277)
Marine and aviation(10,043)(15,519)
Other(6,844)(5,005)
It is not necessarily appropriate to sum the total impact for a specific factor or the total impact for a specific business category as the business categories are not perfectly correlated. In addition, the potential variability shown in the tables above are reasonably likely scenarios of changes in our key assumptions at December 31, 2020 and are not meant to be a “best case” or “worst case” series of outcomes and, therefore, it is possible that future variations may be more or less than the amounts set forth above.
For our mortgage segment, we considered the sensitivity of loss reserve estimates at December 31, 2020 by assessing the potential changes resulting from a parallel shift in severity and default to claim rate. For example, assuming all other factors remain constant, for every one percentage point change in primary claim severity (which we estimate to be 29% of the unpaid principal balance at December 31, 2020), we estimated that our loss reserves would change by approximately $30.0 million at December 31, 2020. For every one percentage point change in our primary net default to claim rate (which we estimate to be approximately 20% at December 31, 2020), we estimated a $45.0 million change in our loss reserves at December 31, 2020.


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Simulation Results
In order to illustrate the potential volatility in our Loss Reserves, we used a Monte Carlo simulation approach to simulate a range of results based on various probabilities. Both the probabilities and related modeling are subject to inherent uncertainties. The simulation relies on a significant number of assumptions, such as the potential for multiple entities to react similarly to external events, and includes other statistical assumptions. The simulation results shown for each segment do not add to the total simulation results, as the individual segment simulation results do not reflect the diversification effects across our segments.
At December 31, 2020, our recorded Loss Reserves by underwriting segment, net of unpaid losses and loss adjustment expenses recoverable, and the results of the simulation were as follows:
Insurance SegmentReinsurance SegmentMortgage SegmentTotal
Loss
Reserves (1)
$5,941,463 $4,094,948 $903,623 $10,940,034 
Simulation results:
90th percentile (2)$7,181,065 $5,038,203 $1,081,713 $12,683,107 
10th percentile (3)$4,734,118 $3,251,451 $738,596 $9,246,934 
(1)    Net of reinsurance recoverables. Excludes amounts reflected in the ‘other’ segment.
(2)    Simulation results indicate that a 90% probability exists that the net reserves for losses and loss adjustment expenses will not exceed the indicated amount.
(3)    Simulation results indicate that a 10% probability exists that the net reserves for losses and loss adjustment expenses will be at or below the indicated amount.

For informational purposes, based on the total simulation results, a change in our Loss Reserves to the amount indicated at the 90th percentile would result in a decrease in income before income taxes of approximately $1.7 billion, or $4.25 per diluted share, while a change in our Loss Reserves to the amount indicated at the 10th percentile would result in an increase in income before income taxes of approximately $1.7 billion, or $4.13 per diluted share. The simulation results noted above are informational only, and no assurance can be given that our ultimate losses will not be significantly different than the simulation results shown above, and such differences could directly and significantly impact earnings favorably or unfavorably in the period they are determined. We do not have significant exposure to pre-2002 liabilities, such as asbestos-related illnesses and other long-tail liabilities. It is difficult to provide meaningful trend information for certain liability/casualty coverages for which the claim-tail may be especially long, as claims are often reported and ultimately paid or settled years, or even decades,
after the related loss events occur. Any estimates and assumptions made as part of the reserving process could prove to be inaccurate due to several factors, including the fact that for certain lines of business relatively limited historical information has been reported to us through December 31, 2020.
Mortgage Operations Supplemental Information
The mortgage segment’s insurance in force (“IIF”) and risk in force (“RIF”) were as follows at December 31, 2020 and 2019:
(U.S. Dollars in millions)December 31,
20202019
Amount%Amount%
Insurance In Force (IIF) (1):
U.S. primary mortgage insurance$280,579 66.2 $287,150 68.7 
Mortgage reinsurance31,220 7.4 26,768 6.4 
Other (2)111,740 26.4 104,346 24.9 
Total$423,539 100.0 $418,264 100.0 
Risk In Force (RIF) (3):
U.S. primary mortgage insurance$70,522 90.5 $73,388 91.9 
Mortgage reinsurance2,226 2.9 2,129 2.7 
Other (2)5,146 6.6 4,380 5.5 
Total$77,894 100.0 $79,897 100.0 
(1)    Represents the aggregate dollar amount of each insured mortgage loan’s current principal balance.
(2)    Includes participation in GSE credit risk-sharing transactions and international insurance business.
(3)    Represents the aggregate amount of each insured mortgage loan’s current principal balance multiplied by the insurance coverage percentage specified in the policy for insurance policies issued and after contract limits and/or loss ratio caps for credit risk-sharing or reinsurance transactions.

The insurance in force and risk in force for our U.S. primary mortgage insurance business by policy year were as follows at December 31, 2020:
(U.S. Dollars in millions)IIFRIFDelinquency
Amount%Amount%Rate (1)
Policy year:
2010 and prior$13,684 4.9 $3,088 4.4 11.78 %
2011904 0.3 239 0.3 3.97 %
20123,651 1.3 992 1.4 2.98 %
20137,546 2.7 2,107 3.0 3.30 %
20148,261 2.9 2,273 3.2 4.06 %
201515,032 5.4 4,048 5.7 3.72 %
201624,958 8.9 6,648 9.4 4.77 %
201724,748 8.8 6,413 9.1 5.52 %
201827,304 9.7 6,918 9.8 6.76 %
201948,304 17.2 12,001 17.0 4.61 %
2020106,187 37.8 25,795 36.6 0.76 %
Total$280,579 100.0 $70,522 100.0 4.19 %

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(1)Represents the ending percentage of loans in default.
The insurance in force and risk in force for our U.S. primary mortgage insurance business by policy year were as follows at December 31, 2019:
(U.S. Dollars in millions)IIFRIFDelinquency
Amount%Amount%Rate (1)
Policy year:
2010 and prior$17,251 6.0 $3,990 5.4 8.79 %
20111,678 0.6 464 0.6 1.59 %
20126,293 2.2 1,753 2.4 0.89 %
201312,276 4.3 3,433 4.7 0.99 %
201413,714 4.8 3,778 5.1 1.16 %
201525,788 9.0 6,880 9.4 0.87 %
201640,898 14.2 10,670 14.5 1.03 %
201743,896 15.3 11,262 15.3 1.00 %
201851,776 18.0 13,086 17.8 0.86 %
201973,580 25.6 18,072 24.6 0.14 %
Total$287,150 100.0 $73,388 100.0 1.54 %
(1)Represents the ending percentage of loans in default.
The following tables provide supplemental disclosures on risk in force for our U.S. primary mortgage insurance business at December 31, 2020 and 2019:
(U.S. Dollars in millions)December 31,
20202019
Amount%Amount%
Credit quality (FICO):
>=740$40,774 57.8 $42,301 57.6 
680-73924,498 34.7 25,240 34.4 
620-6794,837 6.9 5,444 7.4 
<620413 0.6 403 0.5 
Total$70,522 100.0 $73,388 100.0 
Weighted average FICO score743 743 
Loan-to-Value (LTV):
95.01% and above$8,643 12.3 $9,064 12.4 
90.01% to 95.00%37,877 53.7 40,136 54.7 
85.01% to 90.00%20,013 28.4 20,890 28.5 
85.00% and below3,989 5.7 3,298 4.5 
Total$70,522 100.0 $73,388 100.0 
Weighted average LTV92.8 %93.0 %
Total RIF, net of external reinsurance$56,658 $58,512 
(U.S. Dollars in millions)December 31,
20202019
Amount%Amount%
Total RIF by State:
Texas$5,636 8.0 $5,678 7.7 
California5,261 7.5 5,187 7.1 
Florida3,632 5.2 3,887 5.3 
Georgia2,959 4.2 2,753 3.8 
Illinois2,762 3.9 2,616 3.6 
North Carolina2,622 3.7 2,470 3.4 
Virginia2,526 3.6 2,881 3.9 
Minnesota2,520 3.6 2,514 3.4 
Massachusetts2,464 3.5 2,432 3.3 
Washington2,220 3.1 2,474 3.4 
Others37,920 53.8 40,496 55.2 
Total$70,522 100.0 $73,388 100.0 
The following table provides supplemental disclosures for our U.S. primary mortgage insurance business related to insured loans and loss metrics for the years ended December 31, 2020 and 2019:
(U.S. Dollars in thousands, except loan and claim count)Year Ended December 31,
20202019
Rollforward of insured loans in default:
Beginning delinquent number of loans20,163 20,665 
New notices102,324 39,017 
Cures(68,691)(36,601)
Paid claims(1,562)(2,918)
Ending delinquent number of loans (1)52,234 20,163 
Ending number of policies in force (1)1,245,771 1,307,884 
Delinquency rate (1)4.19 %1.54 %
Losses:
Number of claims paid1,562 2,918 
Total paid claims$64,903 $116,854 
Average per claim$41.6 $40.0 
Severity (2)92.4 %96.0 %
Average reserve per default (in thousands) (1)$12.6 $13.3 
(1)    Includes first lien primary and pool policies.
(2)    Represents total paid claims divided by RIF of loans for which claims were paid.

The risk-to-capital ratio, which represents total current (non-delinquent) risk in force, net of reinsurance, divided by total statutory capital, for Arch MI U.S. was approximately 9.3 to 1 at December 31, 2020, compared to 12.0 to 1 at December 31, 2019.


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Ceded Reinsurance
In the normal course of business, our insurance and mortgage insurance operations cede a portion of their premium on a quota share or excess of loss basis through treaty or facultative reinsurance agreements. Our reinsurance operations also obtain reinsurance whereby another reinsurer contractually agrees to indemnify it for all or a portion of the reinsurance risks underwritten by our reinsurance operations. Such arrangements, where one reinsurer provides reinsurance to another reinsurer, are usually referred to as “retrocessional reinsurance” arrangements. In addition, our reinsurance subsidiaries participate in “common account” retrocessional arrangements for certain pro rata treaties. Such arrangements reduce the effect of individual or aggregate losses to all companies participating on such treaties, including the reinsurers, such as our reinsurance operations, and the ceding company. Reinsurance recoverables are recorded as assets, predicated on the reinsurers’ ability to meet their obligations under the reinsurance agreements. If the reinsurers are unable to satisfy their obligations under the agreements, our insurance or reinsurance operations would be liable for such defaulted amounts.
The availability and cost of reinsurance and retrocessional protection is subject to market conditions, which are beyond our control. Although we believe that our insurance and reinsurance operations have been successful in obtaining adequate reinsurance and retrocessional protection, it is not certain that they will be able to continue to obtain adequate protection at cost effective levels. As a result of such market conditions and other factors, our insurance, reinsurance and mortgage operations may not be able to successfully mitigate risk through reinsurance and retrocessional arrangements and may lead to increased volatility in our results of operations in future periods. See “Risk Factors—Risks Relating to Our Industry, Business and Operations—The failure of any of the loss limitation methods we employ could have a material adverse effect on our financial condition or results of operations.”
Effective January 1, 2021, our insurance operations had in effect a reinsurance program which provided coverage for certain property-catastrophe related losses equal to $276 million in excess of various retentions per occurrence.
For purposes of managing risk, we reinsure a portion of our exposures, paying to reinsurers a part of the premiums received on the policies we write, and we may also use retrocessional protection. On a consolidated basis, ceded premiums written represented 26.3% of gross premiums written for 2020, compared to 25.8% for 2019. We monitor the financial condition of our reinsurers and attempt to place coverages only with substantial, financially sound carriers. If the financial condition of our reinsurers or retrocessionaires deteriorates, resulting in an impairment of their ability to
make payments, we will provide for probable losses resulting from our inability to collect amounts due from such parties, as appropriate. We evaluate the credit worthiness of all the reinsurers to which we cede business. We report reinsurance recoverables net of an allowance for expected credit loss. The allowance is based upon our ongoing review of amounts outstanding, the financial condition of our reinsurers, amounts and form of collateral obtained and other relevant factors. A ratings based probability-of-default and loss-given-default methodology is used to estimate the allowance for expected credit loss. See “Risk Factors—Risks Relating to Our Industry, Business and Operations—We are exposed to credit risk in certain of our business operations” and “Financial Condition, Liquidity and Capital Resources” for further details.
Premium Revenues and Related Expenses
Insurance premiums written are generally recorded at the policy inception and are primarily earned on a pro rata basis over the terms of the policies for all products, usually 12 months. Premiums written include estimates in our insurance operations’ programs, specialty lines, collateral protection business and for participation in involuntary pools. Such premium estimates are derived from multiple sources which include the historical experience of the underlying business, similar business and available industry information. Unearned premium reserves represent the portion of premiums written that relates to the unexpired terms of in-force insurance policies.
Reinsurance premiums written include amounts reported by brokers and ceding companies, supplemented by our own estimates of premiums where reports have not been received. The determination of premium estimates requires a review of our experience with the ceding companies, familiarity with each market, the timing of the reported information, an analysis and understanding of the characteristics of each line of business, and management’s judgment of the impact of various factors, including premium or loss trends, on the volume of business written and ceded to us. On an ongoing basis, our underwriters review the amounts reported by these third parties for reasonableness based on their experience and knowledge of the subject class of business, taking into account our historical experience with the brokers or ceding companies. In addition, reinsurance contracts under which we assume business generally contain specific provisions which allow us to perform audits of the ceding company to ensure compliance with the terms and conditions of the contract, including accurate and timely reporting of information. Based on a review of all available information, management establishes premium estimates where reports have not been received. Premium estimates are updated when new information is received and differences between such estimates and actual amounts are recorded in the period in which estimates are changed or the actual amounts are

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determined. Premiums written are recorded based on the type of contracts we write. Premiums on our excess of loss and pro rata reinsurance contracts are estimated when the business is underwritten. For excess of loss contracts, premiums are recorded as written based on the terms of the contract. Estimates of premiums written under pro rata contracts are recorded in the period in which the underlying risks incept and are based on information provided by the brokers and the ceding companies. For multi-year reinsurance treaties which are payable in annual installments, generally, only the initial annual installment is included as premiums written at policy inception due to the ability of the reinsured to commute or cancel coverage during the term of the policy. The remaining annual installments are included as premiums written at each successive anniversary date within the multi-year term.
Reinstatement premiums for our insurance and reinsurance operations are recognized at the time a loss event occurs, where coverage limits for the remaining life of the contract are reinstated under pre-defined contract terms. Reinstatement premiums, if obligatory, are fully earned when recognized. The accrual of reinstatement premiums is based on an estimate of losses and loss adjustment expenses, which reflects management’s judgment, as described above in “—Loss Reserves.”
The amount of reinsurance premium estimates included in premiums receivable and the amount of related acquisition expenses by type of business were as follows at December 31, 2020:
December 31, 2020
Gross AmountAcquisition ExpensesNet
Amount
Other specialty$285,738 $(82,226)$203,512 
Casualty125,675 (34,157)91,518 
Property excluding property catastrophe132,553 (42,272)90,281 
Marine and aviation84,648 (22,297)62,351 
Property catastrophe20,053 (3,286)16,767 
Other62,473 (5,858)56,615 
Total$711,140 $(190,096)$521,044 
Premium estimates are reviewed by management at least quarterly. Such review includes a comparison of actual reported premiums to expected ultimate premiums along with a review of the aging and collection of premium estimates. Based on management’s review, the appropriateness of the premium estimates is evaluated, and any adjustment to these estimates is recorded in the period in which it becomes known. Adjustments to premium estimates could be material and such adjustments could directly and significantly impact earnings favorably or unfavorably in the period they are determined because the estimated premium may be fully or substantially earned.
A significant portion of amounts included as premiums receivable, which represent estimated premiums written, net of commissions, are not currently due based on the terms of the underlying contracts. Based on currently available information, we report premiums receivable net of an allowance for expected credit loss. We monitor credit risk associated with premiums receivable through our ongoing review of amounts outstanding, aging of the receivable, historical data and counterparty financial strength measures.
Reinsurance premiums assumed, irrespective of the class of business, are generally earned on a pro rata basis over the terms of the underlying policies or reinsurance contracts. Contracts and policies written on a “losses occurring” basis cover claims that may occur during the term of the contract or policy, which is typically 12 months. Accordingly, the premium is earned evenly over the term. Contracts which are written on a “risks attaching” basis cover claims which attach to the underlying insurance policies written during the terms of such contracts. Premiums earned on such contracts usually extend beyond the original term of the reinsurance contract, typically resulting in recognition of premiums earned over a 24-month period.
Certain of our reinsurance contracts include provisions that adjust premiums or acquisition expenses based upon the experience under the contracts. Premiums written and earned, as well as related acquisition expenses, are recorded based upon the projected experience under such contracts.
Retroactive reinsurance reimburses a ceding company for liabilities incurred as a result of past insurable events covered by the underlying policies reinsured. In certain instances, reinsurance contracts cover losses both on a prospective basis and on a retroactive basis and, accordingly, we bifurcate the prospective and retrospective elements of these reinsurance contracts and accounts for each element separately where practical. Underwriting income generated in connection with retroactive reinsurance contracts is deferred and amortized into income over the settlement period while losses are charged to income immediately. Subsequent changes in estimated amount or timing of cash flows under such retroactive reinsurance contracts are accounted for by adjusting the previously deferred amount to the balance that would have existed had the revised estimate been available at the inception of the reinsurance transaction, with a corresponding charge or credit to income.
Mortgage guaranty insurance policies are contracts that are generally non-cancelable by the insurer, are renewable at a fixed price, and provide for payment of premiums on a monthly, annual or single basis. Upon renewal, we are not able to re-underwrite or re-price our policies. Consistent with industry accounting practices, premiums written on a monthly basis are earned as coverage is provided. Premiums written on an annual basis are amortized on a monthly pro

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rata basis over the year of coverage. Primary mortgage insurance premiums written on policies covering more than one year are referred to as single premiums. A portion of the revenue from single premiums is recognized in premiums earned in the current period, and the remaining portion is deferred as unearned premiums and earned over the estimated expiration of risk of the policy. If single premium policies related to insured loans are canceled for any reason and the policy is a non-refundable product, the remaining unearned premium related to each canceled policy is recognized as earned premium upon notification of the cancellation.
Unearned premiums represent the portion of premiums written that is applicable to the estimated unexpired risk of insured loans. A portion of premium payments may be refundable if the insured cancels coverage, which generally occurs when the loan is repaid, the loan amortizes to a sufficiently low amount to trigger a lender permitted or legally required cancellation, or the value of the property has increased sufficiently in accordance with the terms of the contract. Premium refunds reduce premiums earned in the consolidated statements of income. Generally, only unearned premiums are refundable.
Acquisition costs that are directly related and incremental to the successful acquisition or renewal of business are deferred and amortized based on the type of contract. For property and casualty insurance and reinsurance contracts, deferred acquisition costs are amortized over the period in which the related premiums are earned. Consistent with mortgage insurance industry accounting practice, amortization of acquisition costs related to the mortgage insurance contracts for each underwriting year’s book of business is recorded in proportion to estimated gross profits. Estimated gross profits are comprised of earned premiums and losses and loss adjustment expenses. For each underwriting year, we estimate the rate of amortization to reflect actual experience and any changes to persistency or loss development.
Acquisition expenses and other expenses related to our underwriting operations that vary with, and are directly related to, the successful acquisition or renewal of business are deferred and amortized based on the type of contract. Our insurance and reinsurance operations capitalize incremental direct external costs that result from acquiring a contract but do not capitalize salaries, benefits and other internal underwriting costs. For our mortgage insurance operations, which include a substantial direct sales force, both external and certain internal direct costs are deferred and amortized. Deferred acquisition costs are carried at their estimated realizable value and take into account anticipated losses and loss adjustment expenses, based on historical and current experience, and anticipated investment income.
A premium deficiency occurs if the sum of anticipated losses and loss adjustment expenses, unamortized acquisition costs
and maintenance costs and anticipated investment income exceed unearned premiums. A premium deficiency reserve (“PDR”) is recorded by charging any unamortized acquisition costs to expense to the extent required in order to eliminate the deficiency. If the premium deficiency exceeds unamortized acquisition costs then a liability is accrued for the excess deficiency.
To assess the need for a PDR on our mortgage exposures, we develop loss projections based on modeled loan defaults related to our current policies in force. This projection is based on recent trends in default experience, severity and rates of defaulted loans moving to claim, as well as recent trends in the rate at which loans are prepaid, and incorporates anticipated interest income. Evaluating the expected profitability of our existing mortgage insurance business and the need for a PDR for our mortgage business involves significant reliance upon assumptions and estimates with regard to the likelihood, magnitude and timing of potential losses and premium revenues. The models, assumptions and estimates we use to evaluate the need for a PDR may prove to be inaccurate, especially during an extended economic downturn or a period of extreme market volatility and uncertainty.
No premium deficiency charges were recorded by us during 2020 and 2019.
Fair Value Measurements
We review our securities measured at fair value and discuss the proper classification of such investments with investment advisors and others. See note 10, “Fair Value,” to our consolidated financial statements in Item 8 for a summary of our financial assets and liabilities measured at fair value at December 31, 2020 by valuation hierarchy.
Reclassifications
We have reclassified the presentation of certain prior year information to conform to the current presentation. Such reclassifications had no effect on our net income, shareholders’ equity or cash flows.
Significant Accounting Pronouncements
For all other significant accounting policies see note 3, “Significant Accounting Policies” and note 3-(r), “Recent Accounting Pronouncements” to our consolidated financial statements in Item 8 for disclosures concerning our companies significant accounting policies and recent accounting pronouncements.

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FINANCIAL CONDITION
Investable Assets
At December 31, 2020, total investable assets held by Arch were $26.9 billion, excluding the $2.7 billion included in the ‘other’ segment (i.e., attributable to Watford).
Investable Assets Held by Arch
The Finance, Investment and Risk Committee (“FIR”) of our board of directors establishes our investment policies and sets the parameters for creating guidelines for our investment managers. The FIR reviews the implementation of the investment strategy on a regular basis. Our current approach stresses preservation of capital, market liquidity and diversification of risk. While maintaining our emphasis on preservation of capital and liquidity, we expect our portfolio to become more diversified and, as a result, we may expand into areas which are not currently part of our investment strategy. Our Chief Investment Officer administers the investment portfolio, oversees our investment managers and formulates investment strategy in conjunction with the FIR.
The following table summarizes the fair value of investable assets held by Arch (i.e., excluding the ‘other’ segment):
Investable assets (1):Estimated
Fair Value
% of
Total
December 31, 2020
Fixed maturities (2)$18,771,296 69.9 
Short-term investments (2)2,063,240 7.7 
Cash694,997 2.6 
Equity securities (2)1,436,104 5.3 
Other investments1,480,347 5.5 
Other investable assets (3)500,000 1.9 
Investments accounted for using the equity method2,047,889 7.6 
Securities transactions entered into but not settled at the balance sheet date(137,578)(0.5)
Total investable assets held by Arch$26,856,295 100.0 
Average effective duration (in years)3.01 
Average S&P/Moody’s credit ratings (4)AA/Aa2
Embedded book yield (5)1.56 %
December 31, 2019
Fixed maturities (2)$16,894,021 75.8 
Short-term investments (2)1,004,257 4.5 
Cash623,793 2.8 
Equity securities (2)827,842 3.7 
Other investments1,336,920 6.0 
Investments accounted for using the equity method1,660,396 7.5 
Securities transactions entered into but not settled at the balance sheet date(61,553)(0.3)
Total investable assets held by Arch$22,285,676 100.0 
Average effective duration (in years)3.40 
Average S&P/Moody’s credit ratings (4)AA/Aa2
Embedded book yield (5)2.55 %
(1)In securities lending transactions, we receive collateral in excess of the fair value of the securities pledged. For purposes of this table, we have excluded the collateral received under securities lending, at fair value and included the securities pledged under securities lending, at fair value.
(2)Includes investments carried as available for sale, at fair value and at fair value under the fair value option.
(3)Participation interests in a receivable of a reverse repurchase agreement.
(4)Average credit ratings on our investment portfolio on securities with ratings by Standard & Poor’s Rating Services (“S&P”) and Moody’s Investors Service (“Moody’s”).
(5)Before investment expenses.
At December 31, 2020, approximately $19.2 billion, or 71%, of total investable assets held by Arch were internally managed, compared to $15.8 billion, or 71%, at December 31, 2019.


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The following table summarizes our fixed maturities and fixed maturities pledged under securities lending agreements (“Fixed Maturities”) by type:
Estimated
Fair Value
% of
Total
December 31, 2020 
Corporate bonds$8,039,745 42.8 
Mortgage backed securities616,619 3.3 
Municipal bonds492,734 2.6 
Commercial mortgage backed securities390,990 2.1 
U.S. government and government agencies5,354,863 28.5 
Non-U.S. government securities2,310,157 12.3 
Asset backed securities1,566,188 8.3 
Total$18,771,296 100.0 
December 31, 2019 
Corporate bonds$6,561,354 38.8 
Mortgage backed securities541,800 3.2 
Municipal bonds880,119 5.2 
Commercial mortgage backed securities734,244 4.3 
U.S. government and government agencies4,632,947 27.4 
Non-U.S. government securities1,995,813 11.8 
Asset backed securities1,547,744 9.2 
Total$16,894,021 100.0 
The following table provides the credit quality distribution of our Fixed Maturities. For individual fixed maturities, S&P ratings are used. In the absence of an S&P rating, ratings from Moody’s are used, followed by ratings from Fitch Ratings.
Estimated Fair Value% of
Total
December 31, 2020
U.S. government and gov’t agencies (1)$5,963,758 31.8 
AAA3,117,046 16.6 
AA2,063,738 11.0 
A3,760,280 20.0 
BBB2,699,201 14.4 
BB574,189 3.1 
B268,095 1.4 
Lower than B54,795 0.3 
Not rated270,194 1.4 
Total$18,771,296 100.0 
December 31, 2019
U.S. government and gov’t agencies (1)$5,215,489 30.9 
AAA3,392,341 20.1 
AA2,115,828 12.5 
A3,849,458 22.8 
BBB1,495,467 8.9 
BB355,803 2.1 
B216,663 1.3 
Lower than B56,865 0.3 
Not rated196,107 1.2 
Total$16,894,021 100.0 
(1)Includes U.S. government-sponsored agency mortgage backed securities and agency commercial mortgage backed securities.
The following table provides information on the severity of the unrealized loss position as a percentage of amortized cost for all Fixed Maturities which were in an unrealized loss position:
Severity of gross unrealized losses:Estimated Fair ValueGross
Unrealized
Losses
% of
Total Gross
Unrealized
Losses
December 31, 2020
0-10%$3,583,981 $(55,542)79.4 
10-20%95,495 (12,183)17.4 
20-30%1,061 (406)0.6 
Greater than 30%1,249 (1,785)2.6 
Total$3,681,786 $(69,916)100.0 
December 31, 2019
0-10%$4,136,798 $(49,072)95.3 
10-20%12,405 (1,796)3.5 
20-30%830 (273)0.5 
Greater than 30%315 (363)0.7 
Total$4,150,348 $(51,504)100.0 
The following table summarizes our top ten exposures to fixed income corporate issuers by fair value at December 31, 2020, excluding guaranteed amounts and covered bonds:
Estimated Fair ValueCredit
Rating (1)
Bank of America Corporation$323,808 A-/A2
JPMorgan Chase & Co.275,040 A-/A2
Wells Fargo & Company264,035 BBB+/A2
Nestlé S.A.213,454 AA-/Aa3
Citigroup Inc.187,920 BBB+/A3
Morgan Stanley178,906 BBB+/A2
Johnson & Johnson156,579 AAA/Aaa
Apple Inc.152,573 AA+/Aa1
The Goldman Sachs Group, Inc.129,030 BBB+/A3
Comcast Corporation115,407 A-/A3
Total$1,996,752 
(1)Average credit ratings as assigned by S&P and Moody’s, respectively.

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The following table provides information on our structured securities, which include residential mortgage-backed securities (RMBS), commercial mortgage-backed securities (CMBS) and asset backed securities (“ABS”):
AgenciesInvestment GradeBelow Investment GradeTotal
Dec. 31, 2020
RMBS$584,499 $4,102 $28,018 $616,619 
CMBS24,396 342,491 24,103 390,990 
ABS— 1,403,137 163,051 1,566,188 
Total$608,895 $1,749,730 $215,172 $2,573,797 
Dec. 31, 2019
RMBS$503,929 $7,770 $30,101 $541,800 
CMBS78,612 629,424 26,208 734,244 
ABS— 1,483,449 64,295 1,547,744 
Total$582,541 $2,120,643 $120,604 $2,823,788 
The following table summarizes our equity securities, which include investments in exchange traded funds:
December 31,
20202019
Equities (1)$676,437 $375,067 
Exchange traded funds
Fixed income (2)341,139 7,237 
Equity and other (3)418,528 445,538 
Total$1,436,104 $827,842 
(1)Primarily in consumer non-cyclical, consumer cyclical, technology, communications and industrial stocks at December 31, 2020.
(2)Primarily in corporate and MBS at December 31, 2020.
(3)Primarily in foreign equities, utilities, large and mid cap stocks at December 31, 2020.
The following table summarizes our other investments and other investable assets:
December 31,
20202019
Term loan investments380,193 264,083 
Lending572,636 602,841 
Credit related funds90,780 123,020 
Energy65,813 97,402 
Investment grade fixed income138,646 151,594 
Infrastructure165,516 61,786 
Private equity48,750 18,915 
Real estate18,013 17,279 
Total fair value option1,480,347 1,336,920 
Other investable assets500,000 — 
Total other investments$1,980,347 $1,336,920 
The following table summarizes our investments accounted for using the equity method, by strategy:

December 31,

20202019
Credit related funds$740,060 $428,437 
Equities343,058 293,686 
Real estate258,518 246,851 
Lending179,629 202,690 
Private equity235,289 144,983 
Infrastructure175,882 235,033 
Energy115,453 108,716 
Total$2,047,889 $1,660,396 
Our investment strategy allows for the use of derivative instruments. We utilize various derivative instruments such as futures contracts to enhance investment performance, replicate investment positions or manage market exposures and duration risk that would be allowed under our investment guidelines if implemented in other ways. See note 11, “Derivative Instruments,” to our consolidated financial statements in Item 8 for additional disclosures concerning derivatives.
Accounting guidance regarding fair value measurements addresses how companies should measure fair value when they are required to use a fair value measure for recognition or disclosure purposes under GAAP and provides a common definition of fair value to be used throughout GAAP. See note 10, “Fair Value,” to our consolidated financial statements in Item 8 for a summary of our financial assets and liabilities measured at fair value at December 31, 2020 and 2019 segregated by level in the fair value hierarchy.
Investable Assets in the ‘Other’ Segment
Investable assets in the ‘other’ segment are managed by Watford. The board of directors of Watford establishes their investment policies and guidelines.


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The following table summarizes investable assets in the ‘other’ segment:
December 31,
20202019
Investments accounted for using the fair value option:
Other investments$851,538 $1,092,396 
Fixed maturities455,163 416,592 
Short-term investments418,690 329,303 
Equity securities64,994 59,799 
Total1,790,385 1,898,090 
Fixed maturities available for sale, at fair value613,503 706,875 
Equity securities52,410 65,337 
Cash211,451 102,437 
Securities sold but not yet purchased(21,679)(66,257)
Securities transactions entered into but not settled at the balance sheet date11,542 (1,893)
Total investable assets included in ‘other’ segment$2,657,612 $2,704,589 
Reinsurance Recoverables
The following table details our reinsurance recoverables at December 31, 2020:
% of TotalA.M. Best
Rating (1)
Lloyd’s syndicates (2)5.5 A
Hannover Rück SE5.1 A+
Swiss Reinsurance America Corporation4.9 A+
Everest Reinsurance Company4.5 A+
Partner Reinsurance Company of the U.S.3.4 A+
XL Re3.3 A+
Liberty Mutual Insurance Company3.2 A
Munich Reinsurance America, Inc.3.1 A+
Berkley Insurance Company2.5 A+
Transatlantic Reinsurance Company2.5 A+
Odyssey Re1.9 A
All other -- “A-” or better24.0 
All other -- not rated (3)36.1 
Total100.0 
(1)    The financial strength ratings are as of February 11, 2021 and were assigned by A.M. Best based on its opinion of the insurer’s financial strength as of such date. An explanation of the ratings listed in the table follows: the rating of “A+” is designated “Superior”; and the “A” rating is designated “Excellent.”
(2)    The A.M. Best group rating of “A” (Excellent) has been applied to all Lloyd’s syndicates.
(3)    Over 94% of such amount is collateralized through reinsurance trusts, funds withheld arrangements, letters of credit or other.

See note 8, “Reinsurance,” to our consolidated financial statements in Item 8 for further details.

Simulation Results
In order to illustrate the potential volatility in our Loss Reserves, we used a Monte Carlo simulation approach to simulate a range of results based on various probabilities. Both the probabilities and related modeling are subject to inherent uncertainties. The simulation relies on a significant number of assumptions, such as the potential for Lossesmultiple entities to react similarly to external events, and includes other statistical assumptions. The simulation results shown for each segment do not add to the total simulation results, as the individual segment simulation results do not reflect the diversification effects across our segments.
At December 31, 2020, our recorded Loss Adjustment ExpensesReserves by underwriting segment, net of unpaid losses and loss adjustment expenses recoverable, and the results of the simulation were as follows:
We are required by applicable insurance laws and regulations and GAAP to establish
Insurance SegmentReinsurance SegmentMortgage SegmentTotal
Loss
Reserves (1)
$5,941,463 $4,094,948 $903,623 $10,940,034 
Simulation results:
90th percentile (2)$7,181,065 $5,038,203 $1,081,713 $12,683,107 
10th percentile (3)$4,734,118 $3,251,451 $738,596 $9,246,934 
(1)    Net of reinsurance recoverables. Excludes amounts reflected in the ‘other’ segment.
(2)    Simulation results indicate that a 90% probability exists that the net reserves for losses and loss adjustment expenses will not exceed the indicated amount.
(3)    Simulation results indicate that a 10% probability exists that the net reserves for losses and loss adjustment expenses will be at or below the indicated amount.

For informational purposes, based on the total simulation results, a change in our Loss Reserves to the amount indicated at the 90th percentile would result in a decrease in income before income taxes of approximately $1.7 billion, or $4.25 per diluted share, while a change in our Loss Reserves to the amount indicated at the 10th percentile would result in an increase in income before income taxes of approximately $1.7 billion, or $4.13 per diluted share. The simulation results noted above are informational only, and no assurance can be given that ariseour ultimate losses will not be significantly different than the simulation results shown above, and such differences could directly and significantly impact earnings favorably or unfavorably in the period they are determined. We do not have significant exposure to pre-2002 liabilities, such as asbestos-related illnesses and other long-tail liabilities. It is difficult to provide meaningful trend information for certain liability/casualty coverages for which the claim-tail may be especially long, as claims are often reported and ultimately paid or settled years, or even decades,
after the related loss events occur. Any estimates and assumptions made as part of the reserving process could prove to be inaccurate due to several factors, including the fact that for certain lines of business relatively limited historical information has been reported to us through December 31, 2020.
Mortgage Operations Supplemental Information
The mortgage segment’s insurance in force (“IIF”) and risk in force (“RIF”) were as follows at December 31, 2020 and 2019:
(U.S. Dollars in millions)December 31,
20202019
Amount%Amount%
Insurance In Force (IIF) (1):
U.S. primary mortgage insurance$280,579 66.2 $287,150 68.7 
Mortgage reinsurance31,220 7.4 26,768 6.4 
Other (2)111,740 26.4 104,346 24.9 
Total$423,539 100.0 $418,264 100.0 
Risk In Force (RIF) (3):
U.S. primary mortgage insurance$70,522 90.5 $73,388 91.9 
Mortgage reinsurance2,226 2.9 2,129 2.7 
Other (2)5,146 6.6 4,380 5.5 
Total$77,894 100.0 $79,897 100.0 
(1)    Represents the aggregate dollar amount of each insured mortgage loan’s current principal balance.
(2)    Includes participation in GSE credit risk-sharing transactions and international insurance business.
(3)    Represents the aggregate amount of each insured mortgage loan’s current principal balance multiplied by the insurance coverage percentage specified in the policy for insurance policies issued and after contract limits and/or loss ratio caps for credit risk-sharing or reinsurance transactions.

The insurance in force and risk in force for our U.S. primary mortgage insurance business by policy year were as follows at December 31, 2020:
(U.S. Dollars in millions)IIFRIFDelinquency
Amount%Amount%Rate (1)
Policy year:
2010 and prior$13,684 4.9 $3,088 4.4 11.78 %
2011904 0.3 239 0.3 3.97 %
20123,651 1.3 992 1.4 2.98 %
20137,546 2.7 2,107 3.0 3.30 %
20148,261 2.9 2,273 3.2 4.06 %
201515,032 5.4 4,048 5.7 3.72 %
201624,958 8.9 6,648 9.4 4.77 %
201724,748 8.8 6,413 9.1 5.52 %
201827,304 9.7 6,918 9.8 6.76 %
201948,304 17.2 12,001 17.0 4.61 %
2020106,187 37.8 25,795 36.6 0.76 %
Total$280,579 100.0 $70,522 100.0 4.19 %

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(1)Represents the ending percentage of loans in default.
The insurance in force and risk in force for our U.S. primary mortgage insurance business by policy year were as follows at December 31, 2019:
(U.S. Dollars in millions)IIFRIFDelinquency
Amount%Amount%Rate (1)
Policy year:
2010 and prior$17,251 6.0 $3,990 5.4 8.79 %
20111,678 0.6 464 0.6 1.59 %
20126,293 2.2 1,753 2.4 0.89 %
201312,276 4.3 3,433 4.7 0.99 %
201413,714 4.8 3,778 5.1 1.16 %
201525,788 9.0 6,880 9.4 0.87 %
201640,898 14.2 10,670 14.5 1.03 %
201743,896 15.3 11,262 15.3 1.00 %
201851,776 18.0 13,086 17.8 0.86 %
201973,580 25.6 18,072 24.6 0.14 %
Total$287,150 100.0 $73,388 100.0 1.54 %
(1)Represents the ending percentage of loans in default.
The following tables provide supplemental disclosures on risk in force for our U.S. primary mortgage insurance business at December 31, 2020 and 2019:
(U.S. Dollars in millions)December 31,
20202019
Amount%Amount%
Credit quality (FICO):
>=740$40,774 57.8 $42,301 57.6 
680-73924,498 34.7 25,240 34.4 
620-6794,837 6.9 5,444 7.4 
<620413 0.6 403 0.5 
Total$70,522 100.0 $73,388 100.0 
Weighted average FICO score743 743 
Loan-to-Value (LTV):
95.01% and above$8,643 12.3 $9,064 12.4 
90.01% to 95.00%37,877 53.7 40,136 54.7 
85.01% to 90.00%20,013 28.4 20,890 28.5 
85.00% and below3,989 5.7 3,298 4.5 
Total$70,522 100.0 $73,388 100.0 
Weighted average LTV92.8 %93.0 %
Total RIF, net of external reinsurance$56,658 $58,512 
(U.S. Dollars in millions)December 31,
20202019
Amount%Amount%
Total RIF by State:
Texas$5,636 8.0 $5,678 7.7 
California5,261 7.5 5,187 7.1 
Florida3,632 5.2 3,887 5.3 
Georgia2,959 4.2 2,753 3.8 
Illinois2,762 3.9 2,616 3.6 
North Carolina2,622 3.7 2,470 3.4 
Virginia2,526 3.6 2,881 3.9 
Minnesota2,520 3.6 2,514 3.4 
Massachusetts2,464 3.5 2,432 3.3 
Washington2,220 3.1 2,474 3.4 
Others37,920 53.8 40,496 55.2 
Total$70,522 100.0 $73,388 100.0 
The following table provides supplemental disclosures for our U.S. primary mortgage insurance business related to insured loans and loss metrics for the years ended December 31, 2020 and 2019:
(U.S. Dollars in thousands, except loan and claim count)Year Ended December 31,
20202019
Rollforward of insured loans in default:
Beginning delinquent number of loans20,163 20,665 
New notices102,324 39,017 
Cures(68,691)(36,601)
Paid claims(1,562)(2,918)
Ending delinquent number of loans (1)52,234 20,163 
Ending number of policies in force (1)1,245,771 1,307,884 
Delinquency rate (1)4.19 %1.54 %
Losses:
Number of claims paid1,562 2,918 
Total paid claims$64,903 $116,854 
Average per claim$41.6 $40.0 
Severity (2)92.4 %96.0 %
Average reserve per default (in thousands) (1)$12.6 $13.3 
(1)    Includes first lien primary and pool policies.
(2)    Represents total paid claims divided by RIF of loans for which claims were paid.

The risk-to-capital ratio, which represents total current (non-delinquent) risk in force, net of reinsurance, divided by total statutory capital, for Arch MI U.S. was approximately 9.3 to 1 at December 31, 2020, compared to 12.0 to 1 at December 31, 2019.


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Ceded Reinsurance
In the normal course of business, our insurance and mortgage insurance operations cede a portion of their premium on a quota share or excess of loss basis through treaty or facultative reinsurance agreements. Our reinsurance operations also obtain reinsurance whereby another reinsurer contractually agrees to indemnify it for all or a portion of the reinsurance risks underwritten by our reinsurance operations. Such arrangements, where one reinsurer provides reinsurance to another reinsurer, are usually referred to as “retrocessional reinsurance” arrangements. In addition, our reinsurance subsidiaries participate in “common account” retrocessional arrangements for certain pro rata treaties. Such arrangements reduce the effect of individual or aggregate losses to all companies participating on such treaties, including the reinsurers, such as our reinsurance operations, and the ceding company. Reinsurance recoverables are recorded as assets, predicated on the reinsurers’ ability to meet their obligations under the reinsurance agreements. If the reinsurers are unable to satisfy their obligations under the agreements, our insurance or reinsurance operations would be liable for such defaulted amounts.
The availability and cost of reinsurance and retrocessional protection is subject to market conditions, which are beyond our control. Although we believe that our insurance and reinsurance operations have been successful in obtaining adequate reinsurance and retrocessional protection, it is not certain that they will be able to continue to obtain adequate protection at cost effective levels. As a result of such market conditions and other factors, our insurance, reinsurance and mortgage operations may not be able to successfully mitigate risk through reinsurance and retrocessional arrangements and may lead to increased volatility in our results of operations in future periods. See “Risk Factors—Risks Relating to Our Industry, Business and Operations—The failure of any of the loss limitation methods we employ could have a material adverse effect on our financial condition or results of operations.”
Effective January 1, 2021, our insurance operations had in effect a reinsurance program which provided coverage for certain property-catastrophe related losses equal to $276 million in excess of various retentions per occurrence.
For purposes of managing risk, we reinsure a portion of our exposures, paying to reinsurers a part of the premiums received on the policies we write, and we may also use retrocessional protection. On a consolidated basis, ceded premiums written represented 26.3% of gross premiums written for 2020, compared to 25.8% for 2019. We monitor the financial condition of our reinsurers and attempt to place coverages only with substantial, financially sound carriers. If the financial condition of our reinsurers or retrocessionaires deteriorates, resulting in an impairment of their ability to
make payments, we will provide for probable losses resulting from our inability to collect amounts due from such parties, as appropriate. We evaluate the credit worthiness of all the reinsurers to which we cede business. We report reinsurance recoverables net of an allowance for expected credit loss. The allowance is based upon our ongoing review of amounts outstanding, the financial condition of our reinsurers, amounts and form of collateral obtained and other relevant factors. A ratings based probability-of-default and loss-given-default methodology is used to estimate the allowance for expected credit loss. See “Risk Factors—Risks Relating to Our Industry, Business and Operations—We are exposed to credit risk in certain of our business operations” and “Financial Condition, Liquidity and Capital Resources” for further details.
Premium Revenues and Related Expenses
Insurance premiums written are generally recorded at the policy inception and are primarily earned on a pro rata basis over the terms of the policies for all products, usually 12 months. Premiums written include estimates in our insurance operations’ programs, specialty lines, collateral protection business and for participation in involuntary pools. Such premium estimates are derived from multiple sources which include the historical experience of the underlying business, similar business and available industry information. Unearned premium reserves represent the portion of premiums written that relates to the unexpired terms of in-force insurance policies.
Reinsurance premiums written include amounts reported by brokers and ceding companies, supplemented by our own estimates of premiums where reports have not been received. The determination of premium estimates requires a review of our experience with the ceding companies, familiarity with each market, the timing of the reported information, an analysis and understanding of the characteristics of each line of business, and management’s judgment of the impact of various factors, including premium or loss trends, on the volume of business written and ceded to us. On an ongoing basis, our underwriters review the amounts reported by these third parties for reasonableness based on their experience and knowledge of the subject class of business, taking into account our historical experience with the brokers or ceding companies. In addition, reinsurance contracts under which we assume business generally contain specific provisions which allow us to perform audits of the ceding company to ensure compliance with the terms and conditions of the contract, including accurate and timely reporting of information. Based on a review of all available information, management establishes premium estimates where reports have not been received. Premium estimates are updated when new information is received and differences between such estimates and actual amounts are recorded in the period in which estimates are changed or the actual amounts are

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determined. Premiums written are recorded based on the type of contracts we write. Premiums on our excess of loss and pro rata reinsurance contracts are estimated when the business we underwrite. Loss Reservesis underwritten. For excess of loss contracts, premiums are recorded as written based on the terms of the contract. Estimates of premiums written under pro rata contracts are recorded in the period in which the underlying risks incept and are based on information provided by the brokers and the ceding companies. For multi-year reinsurance treaties which are payable in annual installments, generally, only the initial annual installment is included as premiums written at policy inception due to the ability of the reinsured to commute or cancel coverage during the term of the policy. The remaining annual installments are included as premiums written at each successive anniversary date within the multi-year term.
Reinstatement premiums for our insurance and reinsurance operations are balance sheet liabilities representing estimatesrecognized at the time a loss event occurs, where coverage limits for the remaining life of future amounts required to paythe contract are reinstated under pre-defined contract terms. Reinstatement premiums, if obligatory, are fully earned when recognized. The accrual of reinstatement premiums is based on an estimate of losses and loss adjustment expenses, which reflects management’s judgment, as described above in “—Loss Reserves.”
The amount of reinsurance premium estimates included in premiums receivable and the amount of related acquisition expenses by type of business were as follows at December 31, 2020:
December 31, 2020
Gross AmountAcquisition ExpensesNet
Amount
Other specialty$285,738 $(82,226)$203,512 
Casualty125,675 (34,157)91,518 
Property excluding property catastrophe132,553 (42,272)90,281 
Marine and aviation84,648 (22,297)62,351 
Property catastrophe20,053 (3,286)16,767 
Other62,473 (5,858)56,615 
Total$711,140 $(190,096)$521,044 
Premium estimates are reviewed by management at least quarterly. Such review includes a comparison of actual reported premiums to expected ultimate premiums along with a review of the aging and collection of premium estimates. Based on management’s review, the appropriateness of the premium estimates is evaluated, and any adjustment to these estimates is recorded in the period in which it becomes known. Adjustments to premium estimates could be material and such adjustments could directly and significantly impact earnings favorably or unfavorably in the period they are determined because the estimated premium may be fully or substantially earned.
A significant portion of amounts included as premiums receivable, which represent estimated premiums written, net of commissions, are not currently due based on the terms of the underlying contracts. Based on currently available information, we report premiums receivable net of an allowance for insuredexpected credit loss. We monitor credit risk associated with premiums receivable through our ongoing review of amounts outstanding, aging of the receivable, historical data and counterparty financial strength measures.
Reinsurance premiums assumed, irrespective of the class of business, are generally earned on a pro rata basis over the terms of the underlying policies or reinsuredreinsurance contracts. Contracts and policies written on a “losses occurring” basis cover claims that may occur during the term of the contract or policy, which is typically 12 months. Accordingly, the premium is earned evenly over the term. Contracts which are written on a “risks attaching” basis cover claims which attach to the underlying insurance policies written during the terms of such contracts. Premiums earned on such contracts usually extend beyond the original term of the reinsurance contract, typically resulting in recognition of premiums earned over a 24-month period.
Certain of our reinsurance contracts include provisions that adjust premiums or acquisition expenses based upon the experience under the contracts. Premiums written and earned, as well as related acquisition expenses, are recorded based upon the projected experience under such contracts.
Retroactive reinsurance reimburses a ceding company for liabilities incurred as a result of past insurable events whichcovered by the underlying policies reinsured. In certain instances, reinsurance contracts cover losses both on a prospective basis and on a retroactive basis and, accordingly, we bifurcate the prospective and retrospective elements of these reinsurance contracts and accounts for each element separately where practical. Underwriting income generated in connection with retroactive reinsurance contracts is deferred and amortized into income over the settlement period while losses are charged to income immediately. Subsequent changes in estimated amount or timing of cash flows under such retroactive reinsurance contracts are accounted for by adjusting the previously deferred amount to the balance that would have occurredexisted had the revised estimate been available at the inception of the reinsurance transaction, with a corresponding charge or credit to income.
Mortgage guaranty insurance policies are contracts that are generally non-cancelable by the insurer, are renewable at a fixed price, and provide for payment of premiums on a monthly, annual or single basis. Upon renewal, we are not able to re-underwrite or re-price our policies. Consistent with industry accounting practices, premiums written on a monthly basis are earned as coverage is provided. Premiums written on an annual basis are amortized on a monthly pro



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rata basis over the year of coverage. Primary mortgage insurance premiums written on policies covering more than one year are referred to as single premiums. A portion of the revenue from single premiums is recognized in premiums earned in the current period, and the remaining portion is deferred as unearned premiums and earned over the estimated expiration of risk of the policy. If single premium policies related to insured loans are canceled for any reason and the policy is a non-refundable product, the remaining unearned premium related to each canceled policy is recognized as earned premium upon notification of the cancellation.
Unearned premiums represent the portion of premiums written that is applicable to the estimated unexpired risk of insured loans. A portion of premium payments may be refundable if the insured cancels coverage, which generally occurs when the loan is repaid, the loan amortizes to a sufficiently low amount to trigger a lender permitted or legally required cancellation, or the value of the property has increased sufficiently in accordance with the terms of the contract. Premium refunds reduce premiums earned in the consolidated statements of income. Generally, only unearned premiums are refundable.
Acquisition costs that are directly related and incremental to the successful acquisition or renewal of business are deferred and amortized based on the type of contract. For property and casualty insurance and reinsurance contracts, deferred acquisition costs are amortized over the period in which the related premiums are earned. Consistent with mortgage insurance industry accounting practice, amortization of acquisition costs related to the mortgage insurance contracts for each underwriting year’s book of business is recorded in proportion to estimated gross profits. Estimated gross profits are comprised of earned premiums and losses and loss adjustment expenses. For each underwriting year, we estimate the rate of amortization to reflect actual experience and any changes to persistency or loss development.
Acquisition expenses and other expenses related to our underwriting operations that vary with, and are directly related to, the successful acquisition or renewal of business are deferred and amortized based on the type of contract. Our insurance and reinsurance operations capitalize incremental direct external costs that result from acquiring a contract but do not capitalize salaries, benefits and other internal underwriting costs. For our mortgage insurance operations, which include a substantial direct sales force, both external and certain internal direct costs are deferred and amortized. Deferred acquisition costs are carried at their estimated realizable value and take into account anticipated losses and loss adjustment expenses, based on historical and current experience, and anticipated investment income.
A premium deficiency occurs if the sum of anticipated losses and loss adjustment expenses, unamortized acquisition costs
and maintenance costs and anticipated investment income exceed unearned premiums. A premium deficiency reserve (“PDR”) is recorded by charging any unamortized acquisition costs to expense to the extent required in order to eliminate the deficiency. If the premium deficiency exceeds unamortized acquisition costs then a liability is accrued for the excess deficiency.
To assess the need for a PDR on our mortgage exposures, we develop loss projections based on modeled loan defaults related to our current policies in force. This projection is based on recent trends in default experience, severity and rates of defaulted loans moving to claim, as well as recent trends in the rate at which loans are prepaid, and incorporates anticipated interest income. Evaluating the expected profitability of our existing mortgage insurance business and the need for a PDR for our mortgage business involves significant reliance upon assumptions and estimates with regard to the likelihood, magnitude and timing of potential losses and premium revenues. The models, assumptions and estimates we use to evaluate the need for a PDR may prove to be inaccurate, especially during an extended economic downturn or a period of extreme market volatility and uncertainty.
No premium deficiency charges were recorded by us during 2020 and 2019.
Fair Value Measurements
We review our securities measured at fair value and discuss the proper classification of such investments with investment advisors and others. See note 10, “Fair Value,” to our consolidated financial statements in Item 8 for a summary of our financial assets and liabilities measured at fair value at December 31, 2020 by valuation hierarchy.
Reclassifications
We have reclassified the presentation of certain prior year information to conform to the current presentation. Such reclassifications had no effect on our net income, shareholders’ equity or cash flows.
Significant Accounting Pronouncements
For all other significant accounting policies see note 3, “Significant Accounting Policies” and note 3-(r), “Recent Accounting Pronouncements” to our consolidated financial statements in Item 8 for disclosures concerning our companies significant accounting policies and recent accounting pronouncements.

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FINANCIAL CONDITION
Investable Assets
At December 31, 2020, total investable assets held by Arch were $26.9 billion, excluding the $2.7 billion included in the ‘other’ segment (i.e., attributable to Watford).
Investable Assets Held by Arch
The Finance, Investment and Risk Committee (“FIR”) of our board of directors establishes our investment policies and sets the parameters for creating guidelines for our investment managers. The FIR reviews the implementation of the investment strategy on a regular basis. Our current approach stresses preservation of capital, market liquidity and diversification of risk. While maintaining our emphasis on preservation of capital and liquidity, we expect our portfolio to become more diversified and, as a result, we may expand into areas which are not currently part of our investment strategy. Our Chief Investment Officer administers the investment portfolio, oversees our investment managers and formulates investment strategy in conjunction with the FIR.
The following table summarizes the fair value of investable assets held by Arch (i.e., excluding the ‘other’ segment):
Investable assets (1):Estimated
Fair Value
% of
Total
December 31, 2020
Fixed maturities (2)$18,771,296 69.9 
Short-term investments (2)2,063,240 7.7 
Cash694,997 2.6 
Equity securities (2)1,436,104 5.3 
Other investments1,480,347 5.5 
Other investable assets (3)500,000 1.9 
Investments accounted for using the equity method2,047,889 7.6 
Securities transactions entered into but not settled at the balance sheet date(137,578)(0.5)
Total investable assets held by Arch$26,856,295 100.0 
Average effective duration (in years)3.01 
Average S&P/Moody’s credit ratings (4)AA/Aa2
Embedded book yield (5)1.56 %
December 31, 2019
Fixed maturities (2)$16,894,021 75.8 
Short-term investments (2)1,004,257 4.5 
Cash623,793 2.8 
Equity securities (2)827,842 3.7 
Other investments1,336,920 6.0 
Investments accounted for using the equity method1,660,396 7.5 
Securities transactions entered into but not settled at the balance sheet date(61,553)(0.3)
Total investable assets held by Arch$22,285,676 100.0 
Average effective duration (in years)3.40 
Average S&P/Moody’s credit ratings (4)AA/Aa2
Embedded book yield (5)2.55 %
(1)In securities lending transactions, we receive collateral in excess of the fair value of the securities pledged. For purposes of this table, we have excluded the collateral received under securities lending, at fair value and included the securities pledged under securities lending, at fair value.
(2)Includes investments carried as available for sale, at fair value and at fair value under the fair value option.
(3)Participation interests in a receivable of a reverse repurchase agreement.
(4)Average credit ratings on our investment portfolio on securities with ratings by Standard & Poor’s Rating Services (“S&P”) and Moody’s Investors Service (“Moody’s”).
(5)Before investment expenses.
At December 31, 2020, approximately $19.2 billion, or 71%, of total investable assets held by Arch were internally managed, compared to $15.8 billion, or 71%, at December 31, 2019.


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The following table summarizes our fixed maturities and fixed maturities pledged under securities lending agreements (“Fixed Maturities”) by type:
Estimated
Fair Value
% of
Total
December 31, 2020 
Corporate bonds$8,039,745 42.8 
Mortgage backed securities616,619 3.3 
Municipal bonds492,734 2.6 
Commercial mortgage backed securities390,990 2.1 
U.S. government and government agencies5,354,863 28.5 
Non-U.S. government securities2,310,157 12.3 
Asset backed securities1,566,188 8.3 
Total$18,771,296 100.0 
December 31, 2019 
Corporate bonds$6,561,354 38.8 
Mortgage backed securities541,800 3.2 
Municipal bonds880,119 5.2 
Commercial mortgage backed securities734,244 4.3 
U.S. government and government agencies4,632,947 27.4 
Non-U.S. government securities1,995,813 11.8 
Asset backed securities1,547,744 9.2 
Total$16,894,021 100.0 
The following table provides the credit quality distribution of our Fixed Maturities. For individual fixed maturities, S&P ratings are used. In the absence of an S&P rating, ratings from Moody’s are used, followed by ratings from Fitch Ratings.
Estimated Fair Value% of
Total
December 31, 2020
U.S. government and gov’t agencies (1)$5,963,758 31.8 
AAA3,117,046 16.6 
AA2,063,738 11.0 
A3,760,280 20.0 
BBB2,699,201 14.4 
BB574,189 3.1 
B268,095 1.4 
Lower than B54,795 0.3 
Not rated270,194 1.4 
Total$18,771,296 100.0 
December 31, 2019
U.S. government and gov’t agencies (1)$5,215,489 30.9 
AAA3,392,341 20.1 
AA2,115,828 12.5 
A3,849,458 22.8 
BBB1,495,467 8.9 
BB355,803 2.1 
B216,663 1.3 
Lower than B56,865 0.3 
Not rated196,107 1.2 
Total$16,894,021 100.0 
(1)Includes U.S. government-sponsored agency mortgage backed securities and agency commercial mortgage backed securities.
The following table provides information on the severity of the unrealized loss position as a percentage of amortized cost for all Fixed Maturities which were in an unrealized loss position:
Severity of gross unrealized losses:Estimated Fair ValueGross
Unrealized
Losses
% of
Total Gross
Unrealized
Losses
December 31, 2020
0-10%$3,583,981 $(55,542)79.4 
10-20%95,495 (12,183)17.4 
20-30%1,061 (406)0.6 
Greater than 30%1,249 (1,785)2.6 
Total$3,681,786 $(69,916)100.0 
December 31, 2019
0-10%$4,136,798 $(49,072)95.3 
10-20%12,405 (1,796)3.5 
20-30%830 (273)0.5 
Greater than 30%315 (363)0.7 
Total$4,150,348 $(51,504)100.0 
The following table summarizes our top ten exposures to fixed income corporate issuers by fair value at December 31, 2020, excluding guaranteed amounts and covered bonds:
Estimated Fair ValueCredit
Rating (1)
Bank of America Corporation$323,808 A-/A2
JPMorgan Chase & Co.275,040 A-/A2
Wells Fargo & Company264,035 BBB+/A2
Nestlé S.A.213,454 AA-/Aa3
Citigroup Inc.187,920 BBB+/A3
Morgan Stanley178,906 BBB+/A2
Johnson & Johnson156,579 AAA/Aaa
Apple Inc.152,573 AA+/Aa1
The Goldman Sachs Group, Inc.129,030 BBB+/A3
Comcast Corporation115,407 A-/A3
Total$1,996,752 
(1)Average credit ratings as assigned by S&P and Moody’s, respectively.

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The following table provides information on our structured securities, which include residential mortgage-backed securities (RMBS), commercial mortgage-backed securities (CMBS) and asset backed securities (“ABS”):
AgenciesInvestment GradeBelow Investment GradeTotal
Dec. 31, 2020
RMBS$584,499 $4,102 $28,018 $616,619 
CMBS24,396 342,491 24,103 390,990 
ABS— 1,403,137 163,051 1,566,188 
Total$608,895 $1,749,730 $215,172 $2,573,797 
Dec. 31, 2019
RMBS$503,929 $7,770 $30,101 $541,800 
CMBS78,612 629,424 26,208 734,244 
ABS— 1,483,449 64,295 1,547,744 
Total$582,541 $2,120,643 $120,604 $2,823,788 
The following table summarizes our equity securities, which include investments in exchange traded funds:
December 31,
20202019
Equities (1)$676,437 $375,067 
Exchange traded funds
Fixed income (2)341,139 7,237 
Equity and other (3)418,528 445,538 
Total$1,436,104 $827,842 
(1)Primarily in consumer non-cyclical, consumer cyclical, technology, communications and industrial stocks at December 31, 2020.
(2)Primarily in corporate and MBS at December 31, 2020.
(3)Primarily in foreign equities, utilities, large and mid cap stocks at December 31, 2020.
The following table summarizes our other investments and other investable assets:
December 31,
20202019
Term loan investments380,193 264,083 
Lending572,636 602,841 
Credit related funds90,780 123,020 
Energy65,813 97,402 
Investment grade fixed income138,646 151,594 
Infrastructure165,516 61,786 
Private equity48,750 18,915 
Real estate18,013 17,279 
Total fair value option1,480,347 1,336,920 
Other investable assets500,000 — 
Total other investments$1,980,347 $1,336,920 
The following table summarizes our investments accounted for using the equity method, by strategy:

December 31,

20202019
Credit related funds$740,060 $428,437 
Equities343,058 293,686 
Real estate258,518 246,851 
Lending179,629 202,690 
Private equity235,289 144,983 
Infrastructure175,882 235,033 
Energy115,453 108,716 
Total$2,047,889 $1,660,396 
Our investment strategy allows for the use of derivative instruments. We utilize various derivative instruments such as futures contracts to enhance investment performance, replicate investment positions or before the balance sheet date. Loss Reserves do not reflect contingency reserve allowances to account for future loss occurrences. Losses arising from future events willmanage market exposures and duration risk that would be estimated and recognized at the time the losses are incurred and could be substantial.
allowed under our investment guidelines if implemented in other ways. See note 7, “Short Duration Contracts,11, “Derivative Instruments, to our consolidated financial statements in Item 8 for additional information ondisclosures concerning derivatives.
Accounting guidance regarding fair value measurements addresses how companies should measure fair value when they are required to use a fair value measure for recognition or disclosure purposes under GAAP and provides a common definition of fair value to be used throughout GAAP. See note 10, “Fair Value,” to our reserving process.
Atconsolidated financial statements in Item 8 for a summary of our financial assets and liabilities measured at fair value at December 31, 20172020 and 2016, our Loss Reserves, net2019 segregated by level in the fair value hierarchy.
Investable Assets in the ‘Other’ Segment
Investable assets in the ‘other’ segment are managed by Watford. The board of unpaid lossesdirectors of Watford establishes their investment policies and loss adjustment expenses recoverable, by type and by operating segment were as follows:guidelines.


 December 31,
 2017 2016
Insurance segment:   
Case reserves$1,648,910
 $1,414,603
IBNR reserves3,272,351 3,187,451
Total net reserves4,921,261
 4,602,054
Reinsurance segment:   
Case reserves1,033,413
 762,730
Additional case reserves158,377 92,524
IBNR reserves1,499,962 1,517,983
Total net reserves2,691,752
 2,373,237
Mortgage segment:   
Case reserves443,069
 593,222
IBNR reserves104,169 59,791
Total net reserves (1)547,238
 653,013
Other segment:   
Case reserves260,876
 125,703
Additional case reserves32,587
 9,513
IBNR reserves465,168
 353,865
Total net reserves758,631
 489,081
Total:   
Case reserves3,386,268
 2,896,258
Additional case reserves190,964 102,037
IBNR reserves5,341,650 5,119,090
Total net reserves$8,918,882
 $8,117,385
(1)ARCH CAPITALAt December 31, 2017, total net reserves include $477.1 million from U.S. primary mortgage insurance business, of which 68.3% represents policy years 2007 and prior, 11.5% from 2008 and the remainder from later policy years. At December 31, 2016, total net reserves include $606.9 million from U.S. primary mortgage insurance business, of which 76.6% represents policy years 2007 and prior, 12.3% from 2008 and the remainder from later policy years.702020 FORM 10-K

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At
The following table summarizes investable assets in the ‘other’ segment:
December 31,
20202019
Investments accounted for using the fair value option:
Other investments$851,538 $1,092,396 
Fixed maturities455,163 416,592 
Short-term investments418,690 329,303 
Equity securities64,994 59,799 
Total1,790,385 1,898,090 
Fixed maturities available for sale, at fair value613,503 706,875 
Equity securities52,410 65,337 
Cash211,451 102,437 
Securities sold but not yet purchased(21,679)(66,257)
Securities transactions entered into but not settled at the balance sheet date11,542 (1,893)
Total investable assets included in ‘other’ segment$2,657,612 $2,704,589 
Reinsurance Recoverables
The following table details our reinsurance recoverables at December 31, 2017 and 2016, the insurance segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:2020:
 December 31,
 2017 2016
Professional lines (1)$1,308,261
 $1,293,667
Construction and national accounts1,094,300
 976,109
Excess and surplus casualty (2)672,903
 687,305
Programs644,340
 667,677
Property, energy, marine and aviation437,518
 302,057
Travel, accident and health86,122
 72,726
Lenders products53,912
 42,147
Other (3)623,905
 560,366
Total net reserves$4,921,261
 $4,602,054
(1)Includes professional liability, executive assurance and healthcare business.% of TotalA.M. Best
Rating (1)
Lloyd’s syndicates (2)5.5 A
(2)Hannover Rück SEIncludes casualty and contract binding business.5.1 
A+
(3)Swiss Reinsurance America CorporationIncludes alternative markets, excess workers’ compensation and surety business.4.9 A+
At December 31, 2017 and 2016, the reinsurance segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:
 December 31,
 2017 2016
Casualty$1,489,933
 $1,355,362
Other specialty523,321
 428,205
Property excluding property catastrophe376,020
 297,200
Marine and aviation135,484
 147,700
Property catastrophe98,622
 86,026
Other68,372
 58,744
Total net reserves$2,691,752
 $2,373,237
Potential Variability in Loss Reserves
The tables below summarize the effect of reasonably likely scenarios on the key actuarial assumptions used to estimate our Loss Reserves, net of unpaid losses and loss adjustment expenses recoverable, at December 31, 2017 by underwriting segment (excluding the ‘other’ segment). The scenarios shown in the tables summarize the effect of (i) changes to the expected loss ratio selections used at December 31, 2017, which represent loss ratio point increases or decreases to the expected loss ratios used, and (ii) changes to the loss development patterns used in our reserving process at December 31, 2017, which represent claims reporting that is either slower or faster than the reporting patterns used. We believe that the illustrated sensitivities are indicative of the potential variability inherent in the estimation process of those parameters. The results show the impact of varying each key actuarial assumption using the chosen sensitivity on our IBNR reserves, on a net basis and across all accident years.


Everest Reinsurance Company4.5 A+
Partner Reinsurance Company of the U.S.3.4 A+
XL Re3.3 A+
Liberty Mutual Insurance Company3.2 A
Munich Reinsurance America, Inc.3.1 A+
Berkley Insurance Company2.5 A+
Transatlantic Reinsurance Company2.5 A+
Odyssey Re1.9 A
ARCH CAPITALAll other -- “A-” or better6924.0 2017 FORM 10-K
All other -- not rated (3)36.1 
Total100.0 


Table(1)    The financial strength ratings are as of Contents

INSURANCE SEGMENTHigher Expected Loss Ratios Slower Loss Development Patterns
Reserving lines selected assumptions:   
Property, energy, marine and aviation5 points
 3 months
Third party occurrence business10
 6
Third party claims-made business10
 6
All other10
 6
    
Increase (decrease) in Loss Reserves:   
Property, energy, marine and aviation$25,425
 $50,468
Third party occurrence business109,501
 86,978
Third party claims-made business233,750
 161,112
All other120,361
 137,097
INSURANCE SEGMENTLower Expected Loss Ratios Faster Loss Development Patterns
Reserving lines selected assumptions:   
Property, energy, marine and aviation(5) points
 (3) months
Third party occurrence business(10)
 (6)
Third party claims-made business(10)
 (6)
Multi-line and other specialty(10)
 (6)
    
Increase (decrease) in Loss Reserves:   
Property, energy, marine and aviation$(25,425) $(26,077)
Third party occurrence business(107,948) (70,278)
Third party claims-made business(233,687) (136,850)
Multi-line and other specialty(117,257) (94,729)
REINSURANCE SEGMENTHigher Expected Loss Ratios Slower Loss Development Patterns
Reserving lines selected assumptions:   
Casualty10 points
 6 months
Other specialty5
 3
Property excluding property catastrophe5
 3
Property catastrophe5
 3
Marine and aviation5
 3
Other5
 3
    
Increase (decrease) in Loss Reserves:   
Casualty$108,249
 $124,560
Other specialty50,383
 26,952
Property excluding property catastrophe13,718
 34,757
Property catastrophe3,439
 5,966
Marine and aviation6,937
 10,685
Other4,440
 2,727
REINSURANCE SEGMENTLower Expected Loss Ratios Faster Loss Development Patterns
Reserving lines selected assumptions:   
Casualty(10) points
 (6) months
Other specialty(5)
 (3)
Property excluding property catastrophe(5)
 (3)
Property catastrophe(5)
 (3)
Marine and aviation(5)
 (3)
Other(5)
 (3)
    
Increase (decrease) in Loss Reserves:   
Casualty$(108,249) $(98,666)
Other specialty(50,383) (44,630)
Property excluding property catastrophe(13,717) (31,273)
Property catastrophe(3,437) (3,814)
Marine and aviation(6,939) (10,631)
Other(4,440) (2,571)
It is not necessarily appropriate to sumFebruary 11, 2021 and were assigned by A.M. Best based on its opinion of the total impact for a specific factor orinsurer’s financial strength as of such date. An explanation of the total impact for a specific business category as the business categories are not perfectly correlated. In addition, the potential variability shownratings listed in the tables above are reasonably likely scenariostable follows: the rating of changes“A+” is designated “Superior”; and the “A” rating is designated “Excellent.”
(2)    The A.M. Best group rating of “A” (Excellent) has been applied to all Lloyd’s syndicates.
(3)    Over 94% of such amount is collateralized through reinsurance trusts, funds withheld arrangements, letters of credit or other.

See note 8, “Reinsurance,” to our consolidated financial statements in our key assumptions at December 31, 2017 and are not meant to be a “best case” or “worst case” series of outcomes and, therefore, it is possible that future variations may be more or less than the amounts set forth above.Item 8 for further details.
For our mortgage segment, we considered the sensitivity of loss reserve estimates at December 31, 2017 by assessing the potential changes resulting from a parallel shift in severity and default to claim rate. For example, assuming all other factors remain constant, for every one percentage point change in primary claim severity (which we estimate to be 27% of the unpaid principal balance at December 31, 2017), we estimated that our loss reserves would change by approximately $20.8 million at December 31, 2017. For every one percentage point change in our primary net default to claim rate (which we estimate to be approximately 35% at December 31, 2017), we estimated a $16.0 million change in our loss reserves at December 31, 2017.
Simulation Results
In order to illustrate the potential volatility in our Loss Reserves, we used a Monte Carlo simulation approach to simulate a range of results based on various probabilities. Both the probabilities and related modeling are subject to inherent uncertainties. The simulation relies on a significant number of assumptions, such as the potential for multiple entities to react similarly to external events, and includes other statistical assumptions. The simulation results shown for each segment do not add to the total simulation results, as the individual segment simulation results do not reflect the diversification effects across our segments.


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At December 31, 2017,2020, our recorded Loss Reserves by underwriting segment, net of unpaid losses and loss adjustment expenses recoverable, and the results of the simulation were as follows:
Insurance SegmentReinsurance SegmentMortgage SegmentTotal
Loss
Reserves (1)
$5,941,463 $4,094,948 $903,623 $10,940,034 
Simulation results:
90th percentile (2)$7,181,065 $5,038,203 $1,081,713 $12,683,107 
10th percentile (3)$4,734,118 $3,251,451 $738,596 $9,246,934 
 Insurance Segment Reinsurance Segment Mortgage Segment Total
Loss
Reserves (1)

$4,921,261
 
$2,691,752
 
$547,238
 
$8,160,251
        
Simulation results:       
90th percentile (2)
$5,968,241
 
$3,384,491
 
$654,929
 
$9,570,321
10th percentile (3)
$3,976,173
 
$2,089,025
 
$446,850
 
$6,875,498
(1)    Net of reinsurance recoverables. Excludes amounts reflected in the ‘other’ segment.
(1)Net of reinsurance recoverables and deferred reinsurance charge asset. Excludes amounts reflected in the ‘other’ segment.
(2)Simulation results indicate that a 90% probability exists that the net reserves for losses and loss adjustment expenses will not exceed the indicated amount.
(3)Simulation results indicate that a 10% probability exists that the net reserves for losses and loss adjustment expenses will be at or below the indicated amount.

(2)    Simulation results indicate that a 90% probability exists that the net reserves for losses and loss adjustment expenses will not exceed the indicated amount.
(3)    Simulation results indicate that a 10% probability exists that the net reserves for losses and loss adjustment expenses will be at or below the indicated amount.

For informational purposes, based on the total simulation results, a change in our Loss Reserves to the amount indicated at the 90th percentile would result in a decrease in income before income taxes of approximately $1.41$1.7 billion, or $10.13$4.25 per diluted share, while a change in our Loss Reserves to the amount indicated at the 10th percentile would result in an increase in income before income taxes of approximately $1.28$1.7 billion, or $9.23$4.13 per diluted share. The simulation results noted above are informational only, and no assurance can be given that our ultimate losses will not be significantly different than the simulation results shown above, and such differences could directly and significantly impact earnings favorably or unfavorably in the period they are determined. We do not have significant exposure to pre-2002 liabilities, such as asbestos-related illnesses and other long-tail liabilities. It is difficult to provide meaningful trend information for certain liability/casualty coverages for which the claim-tail may be especially long, as claims are often reported and ultimately paid or settled years, or even decades,
after the related loss events occur. Any estimates and assumptions made as part of the reserving process could prove to be inaccurate due to several factors, including the fact that for certain lines of business relatively limited historical information has been reported to us through December 31, 2017.2020.
Mortgage Operations Supplemental Information
The mortgage segment’s insurance in force (“IIF”) and risk in force (“RIF”) were as follows at December 31, 20172020 and 2016:2019:
(U.S. Dollars in millions)December 31,
20202019
Amount%Amount%
Insurance In Force (IIF) (1):
U.S. primary mortgage insurance$280,579 66.2 $287,150 68.7 
Mortgage reinsurance31,220 7.4 26,768 6.4 
Other (2)111,740 26.4 104,346 24.9 
Total$423,539 100.0 $418,264 100.0 
Risk In Force (RIF) (3):
U.S. primary mortgage insurance$70,522 90.5 $73,388 91.9 
Mortgage reinsurance2,226 2.9 2,129 2.7 
Other (2)5,146 6.6 4,380 5.5 
Total$77,894 100.0 $79,897 100.0 
(U.S. Dollars in millions)December 31,
2017
2016
 Amount % Amount %
Insurance In Force (IIF) (1):       
U.S. mortgage insurance$253,914
 72.2
 $234,518
 74.3
Mortgage reinsurance28,017
 8.0
 24,315
 7.7
Other (2)69,905
 19.9
 56,776
 18.0
Total$351,836
 100.0
 $315,609
 100.0
Risk In Force (RIF) (3):       
U.S. mortgage insurance$64,904
 92.3
 $59,712
 92.7
Mortgage reinsurance2,473
 3.5
 2,489
 3.9
Other (2)2,921
 4.2
 2,242
 3.5
Total$70,298
 100.0
 $64,443
 100.0
(1)    Represents the aggregate dollar amount of each insured mortgage loan’s current principal balance.
(1)Represents the aggregate dollar amount of each insured mortgage loan’s current principal balance.
(2)Includes GSE credit risk-sharing transactions and international insurance business.
(3)Represents the aggregate amount of each insured mortgage loan’s current principal balance multiplied by the insurance coverage percentage specified in the policy for insurance policies issued and after contract limits and/or loss ratio caps for credit risk-sharing or reinsurance transactions.

(2)    Includes participation in GSE credit risk-sharing transactions and international insurance business.
(3)    Represents the aggregate amount of each insured mortgage loan’s current principal balance multiplied by the insurance coverage percentage specified in the policy for insurance policies issued and after contract limits and/or loss ratio caps for credit risk-sharing or reinsurance transactions.

The insurance in force and risk in force for our U.S. primary mortgage segment’sinsurance business by policy year were as follows at December 31, 2017:2020:
(U.S. Dollars in millions)IIFRIFDelinquency
Amount%Amount%Rate (1)
Policy year:
2010 and prior$13,684 4.9 $3,088 4.4 11.78 %
2011904 0.3 239 0.3 3.97 %
20123,651 1.3 992 1.4 2.98 %
20137,546 2.7 2,107 3.0 3.30 %
20148,261 2.9 2,273 3.2 4.06 %
201515,032 5.4 4,048 5.7 3.72 %
201624,958 8.9 6,648 9.4 4.77 %
201724,748 8.8 6,413 9.1 5.52 %
201827,304 9.7 6,918 9.8 6.76 %
201948,304 17.2 12,001 17.0 4.61 %
2020106,187 37.8 25,795 36.6 0.76 %
Total$280,579 100.0 $70,522 100.0 4.19 %

(U.S. Dollars in millions)IIF RIF Delinquency
Amount % Amount % Rate (1)
Policy year:         
2007 and prior$20,716
 8.2
 $4,665
 7.2
 11.05%
20085,424
 2.1
 1,338
 2.1
 6.21%
20091,072
 0.4
 253
 0.4
 2.94%
20101,089
 0.4
 295
 0.5
 2.31%
20113,828
 1.5
 1,046
 1.6
 1.37%
201213,247
 5.2
 3,629
 5.6
 0.75%
201321,840
 8.6
 5,996
 9.2
 0.95%
201422,884
 9.0
 6,112
 9.4
 1.10%
201541,991
 16.5
 10,828
 16.7
 0.77%
201662,020
 24.4
 15,643
 24.1
 0.80%
201759,803
 23.6
 15,099
 23.3
 0.35%
Total$253,914
 100.0
 $64,904
 100.0
 2.23%
(1)Represents the ending percentage of loans in default.


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(1)Represents the ending percentage of loans in default.
The insurance in force and risk in force for our U.S. primary mortgage segment’sinsurance business by policy year were as follows at December 31, 2016:2019:
(U.S. Dollars in millions)IIFRIFDelinquency
Amount%Amount%Rate (1)
Policy year:
2010 and prior$17,251 6.0 $3,990 5.4 8.79 %
20111,678 0.6 464 0.6 1.59 %
20126,293 2.2 1,753 2.4 0.89 %
201312,276 4.3 3,433 4.7 0.99 %
201413,714 4.8 3,778 5.1 1.16 %
201525,788 9.0 6,880 9.4 0.87 %
201640,898 14.2 10,670 14.5 1.03 %
201743,896 15.3 11,262 15.3 1.00 %
201851,776 18.0 13,086 17.8 0.86 %
201973,580 25.6 18,072 24.6 0.14 %
Total$287,150 100.0 $73,388 100.0 1.54 %
(U.S. Dollars in millions)IIF RIF Delinquency
Amount % Amount % Rate (1)
Policy year:         
2007 and prior$26,185
 11.2
 $6,042
 10.1
 12.01%
20086,245
 2.7
 1,536
 2.6
 7.01%
20091,773
 0.8
 419
 0.7
 2.42%
20101,890
 0.8
 508
 0.9
 1.75%
20115,488
 2.3
 1,494
 2.5
 1.15%
201218,475
 7.9
 4,993
 8.4
 0.66%
201327,698
 11.8
 7,450
 12.5
 0.74%
201429,491
 12.6
 7,767
 13.0
 0.65%
201550,400
 21.5
 12,793
 21.4
 0.29%
201666,873
 28.5
 16,710
 28.0
 0.08%
Total$234,518
 100.0
 $59,712
 100.0
 2.57%
(1)Represents the ending percentage of loans in default.
(1)Represents the ending percentage of loans in default.
The following tables provide supplemental disclosures on risk in force for our U.S. primary mortgage insurance business risk in force at December 31, 20172020 and 2016:2019:
(U.S. Dollars in millions)December 31,
20202019
Amount%Amount%
Credit quality (FICO):
>=740$40,774 57.8 $42,301 57.6 
680-73924,498 34.7 25,240 34.4 
620-6794,837 6.9 5,444 7.4 
<620413 0.6 403 0.5 
Total$70,522 100.0 $73,388 100.0 
Weighted average FICO score743 743 
Loan-to-Value (LTV):
95.01% and above$8,643 12.3 $9,064 12.4 
90.01% to 95.00%37,877 53.7 40,136 54.7 
85.01% to 90.00%20,013 28.4 20,890 28.5 
85.00% and below3,989 5.7 3,298 4.5 
Total$70,522 100.0 $73,388 100.0 
Weighted average LTV92.8 %93.0 %
Total RIF, net of external reinsurance$56,658 $58,512 
(U.S. Dollars in millions)December 31,
2017 2016
Amount % Amount %
Credit quality (FICO):       
>=740$37,794
 58.2
 $34,867
 58.4
680-73921,213
 32.7
 18,976
 31.8
620-6795,159
 7.9
 5,050
 8.5
<620738
 1.1
 819
 1.4
Total$64,904
 100.0
 $59,712
 100.0
Weighted average FICO score743
   743
  
        
Loan-to-Value (LTV):       
95.01% and above$6,337
 9.8
 $5,781
 9.7
90.01% to 95.00%36,174
 55.7
 32,986
 55.2
85.01% to 90.00%19,482
 30.0
 18,140
 30.4
85.00% and below2,911
 4.5
 2,805
 4.7
Total$64,904
 100.0
 $59,712
 100.0
Weighted average LTV92.9%   92.9%  
        
Total RIF, net of external reinsurance$49,100
   $42,183
  
(U.S. Dollars in millions)December 31,(U.S. Dollars in millions)December 31,
2017 201620202019
Amount % Amount %Amount%Amount%
Total RIF by State:       Total RIF by State:
Texas$5,151
 7.9
 $4,961
 8.3
Texas$5,636 8.0 $5,678 7.7 
California3,803
 5.9
 3,222
 5.4
California5,261 7.5 5,187 7.1 
Florida2,881
 4.4
 2,367
 4.0
Florida3,632 5.2 3,887 5.3 
GeorgiaGeorgia2,959 4.2 2,753 3.8 
IllinoisIllinois2,762 3.9 2,616 3.6 
North CarolinaNorth Carolina2,622 3.7 2,470 3.4 
Virginia2,773
 4.3
 2,586
 4.3
Virginia2,526 3.6 2,881 3.9 
North Carolina2,410
 3.7
 2,245
 3.8
Georgia2,331
 3.6
 2,111
 3.5
MinnesotaMinnesota2,520 3.6 2,514 3.4 
MassachusettsMassachusetts2,464 3.5 2,432 3.3 
Washington2,294
 3.5
 2,331
 3.9
Washington2,220 3.1 2,474 3.4 
Maryland2,234
 3.4
 2,080
 3.5
Illinois2,229
 3.4
 2,090
 3.5
Minnesota2,165
 3.3
 1,986
 3.3
Others36,633
 56.4
 33,733
 56.5
Others37,920 53.8 40,496 55.2 
Total$64,904
 100.0
 $59,712
 100.0
Total$70,522 100.0 $73,388 100.0 
The following table provides supplemental disclosures for our U.S. primary mortgage insurance operationsbusiness related to insured loans and loss metrics for the years ended December 31, 20172020 and 2016:2019:
(U.S. Dollars in thousands, except loan and claim count)Year Ended December 31,
20202019
Rollforward of insured loans in default:
Beginning delinquent number of loans20,163 20,665 
New notices102,324 39,017 
Cures(68,691)(36,601)
Paid claims(1,562)(2,918)
Ending delinquent number of loans (1)52,234 20,163 
Ending number of policies in force (1)1,245,771 1,307,884 
Delinquency rate (1)4.19 %1.54 %
Losses:
Number of claims paid1,562 2,918 
Total paid claims$64,903 $116,854 
Average per claim$41.6 $40.0 
Severity (2)92.4 %96.0 %
Average reserve per default (in thousands) (1)$12.6 $13.3 
(U.S. Dollars in thousands, except loan and claim count)Year Ended December 31,
2017 2016
Rollforward of insured loans in default:   
Beginning delinquent number of loans (1)29,691
 2,702
New notices (3)41,846
 4,493
Cures(38,413) (4,073)
Paid claims(6,056) (719)
Acquired delinquent loans (2)
 27,288
Ending delinquent number of loans (1)(3)27,068
 29,691
    
Ending number of policies in force (1)1,213,382
 1,153,630
    
Delinquency rate (1)(3)2.23% 2.57%
    
Losses:   
Number of claims paid6,056
 719
Total paid claims$265,924
 $28,505
Average per claim$43.9
 $39.6
Severity (4)103.4% 93.1%
    
Average reserve per default (in thousands) (1)(3)$16.5
 $20.5
(1)    Includes first lien primary and pool policies.
(1) 
Includes first lien primary and pool policies.
(2)Reflects the acquisition of UGC on December 31, 2016.
(3)2017 year includes approximately 3,700 new notices and 3,200 ending delinquent loans from areas impacted by the 2017 third quarter hurricanes.
(4) Represents total paid claims divided by RIF of loans for which claims were paid.

(2)    Represents total paid claims divided by RIF of loans for which claims were paid.

The risk-to-capital ratio, which represents total current (non-delinquent) risk in force, net of reinsurance, divided by total statutory capital, for Arch MI U.S. was approximately 10.89.3 to 1 at December 31, 2017,2020, compared to 12.412.0 to 1 at December 31, 2016.2019.


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Ceded Reinsurance
In the normal course of business, our insurance and mortgage insurance operations cede a portion of their premium on a quota


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share or excess of loss basis through treaty or facultative reinsurance agreements. Our reinsurance operations also obtain reinsurance whereby another reinsurer contractually agrees to indemnify it for all or a portion of the reinsurance risks underwritten by our reinsurance operations. Such arrangements, where one reinsurer provides reinsurance to another reinsurer, are usually referred to as “retrocessional reinsurance” arrangements. In addition, our reinsurance subsidiaries participate in “common account” retrocessional arrangements for certain pro rata treaties. Such arrangements reduce the effect of individual or aggregate losses to all companies participating on such treaties, including the reinsurers, such as our reinsurance operations, and the ceding company. Reinsurance recoverables are recorded as assets, predicated on the reinsurers’ ability to meet their obligations under the reinsurance agreements. If the reinsurers are unable to satisfy their obligations under the agreements, our insurance or reinsurance operations would be liable for such defaulted amounts.
The availability and cost of reinsurance and retrocessional protection is subject to market conditions, which are beyond our control. Although we believe that our insurance and reinsurance operations have been successful in obtaining adequate reinsurance and retrocessional protection, it is not certain that they will be able to continue to obtain adequate protection at cost effective levels. As a result of such market conditions and other factors, our insurance, reinsurance and mortgage operations may not be able to successfully mitigate risk through reinsurance and retrocessional arrangements and may lead to increased volatility in our results of operations in future periods. See “Risk Factors—Risks Relating to Our Industry—Industry, Business and Operations—The failure of any of the loss limitation methods we employ could have a material adverse effect on our financial condition or results of operations.”
OurEffective January 1, 2021, our insurance operations had in effect during 2017 a reinsurance program which provided coverage for certain property-catastrophe related losses equal to $200$276 million in excess of a $150 million retentionvarious retentions per occurrence, consistent with the program in place for 2016. In the 2018 first quarter, our insurance operations renewed its reinsurance program with the same limits.occurrence.
For purposes of managing risk, we reinsure a portion of our exposures, paying to reinsurers a part of the premiums received on the policies we write, and we may also use retrocessional protection. On a consolidated basis, ceded premiums written represented 22.1%26.3% of gross premiums written for 2017,2020, compared to 22.5%25.8% for 2016 and 20.4% for 2015.2019. We monitor the financial condition of our reinsurers and attempt to place coverages only with substantial, financially sound carriers. If the financial condition of our reinsurers or retrocessionaires deteriorates, resulting in an impairment of their ability to
make payments, we will provide for probable losses resulting from our inability to collect amounts due from such parties, as
appropriate. We evaluate the credit worthiness of all the reinsurers to which we cede business. IfWe report reinsurance recoverables net of an allowance for expected credit loss. The allowance is based upon our analysis indicates that there is significant uncertainty regardingongoing review of amounts outstanding, the financial condition of our ability to collectreinsurers, amounts due from reinsurers, managing general agents, brokersand form of collateral obtained and other clients, we will record a provisionrelevant factors. A ratings based probability-of-default and loss-given-default methodology is used to estimate the allowance for doubtful accounts.expected credit loss. See “Risk Factors—Risks Relating to Our Company—Industry, Business and Operations—We are exposed to credit risk in certain of our business operations” and “Financial Condition, Liquidity and Capital Resources—Financial Condition—Premiums Receivable and Reinsurance Recoverables”Resources” for further details.
Premium Revenues and Related Expenses
Insurance premiums written are generally recorded at the policy inception and are primarily earned on a pro rata basis over the terms of the policies for all products, usually 12 months. Premiums written include estimates in our insurance operations’ programs, specialty lines, collateral protection business and for participation in involuntary pools. The amount of such insurance premium estimates, included in premiums receivable and other assets, was $71.1 million at December 31, 2017, compared to $67.1 million at December 31, 2016. Such premium estimates are derived from multiple sources which include the historical experience of the underlying business, similar business and available industry information. Unearned premium reserves represent the portion of premiums written that relates to the unexpired terms of in-force insurance policies.
Reinsurance premiums written include amounts reported by brokers and ceding companies, supplemented by our own estimates of premiums where reports have not been received. The determination of premium estimates requires a review of our experience with the ceding companies, familiarity with each market, the timing of the reported information, an analysis and understanding of the characteristics of each line of business, and management’s judgment of the impact of various factors, including premium or loss trends, on the volume of business written and ceded to us. On an ongoing basis, our underwriters review the amounts reported by these third parties for reasonableness based on their experience and knowledge of the subject class of business, taking into account our historical experience with the brokers or ceding companies. In addition, reinsurance contracts under which we assume business generally contain specific provisions which allow us to perform audits of the ceding company to ensure compliance with the terms and conditions of the contract, including accurate and timely reporting of information. Based on a review of all available information, management establishes premium estimates where reports have not been received. Premium estimates are updated when new information is received and differences between such estimates and actual amounts are recorded in the period in which estimates are changed or the actual amounts are

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determined. Premiums written are recorded based on the type of contracts we write. Premiums on our excess of loss and pro rata reinsurance contracts are estimated when the business is underwritten. For excess of loss contracts,


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premiums are recorded as written based on the terms of the contract. Estimates of premiums written under pro rata contracts are recorded in the period in which the underlying risks incept and are based on information provided by the brokers and the ceding companies. For multi-year reinsurance treaties which are payable in annual installments, generally, only the initial annual installment is included as premiums written at policy inception due to the ability of the reinsured to commute or cancel coverage during the term of the policy. The remaining annual installments are included as premiums written at each successive anniversary date within the multi-year term.
Reinstatement premiums for our insurance and reinsurance operations are recognized at the time a loss event occurs, where coverage limits for the remaining life of the contract are reinstated under pre-defined contract terms. Reinstatement premiums, if obligatory, are fully earned when recognized. The accrual of reinstatement premiums is based on an estimate of losses and loss adjustment expenses, which reflects management’s judgment, as described above in “—Reserves for Losses and Loss Adjustment Expenses.Reserves.
The amount of reinsurance premium estimates included in premiums receivable and the amount of related acquisition expenses by type of business were as follows at December 31, 2017:2020:
December 31, 2017December 31, 2020
Gross Amount Acquisition Expenses Net
Amount
Gross AmountAcquisition ExpensesNet
Amount
Other specialty$191,305
 $(61,563) $129,742
Other specialty$285,738 $(82,226)$203,512 
Casualty170,675
 (55,903) 114,772
Casualty125,675 (34,157)91,518 
Property excluding property catastrophe55,970
 (18,562) 37,408
Property excluding property catastrophe132,553 (42,272)90,281 
Marine and aviation25,299
 (7,241) 18,058
Marine and aviation84,648 (22,297)62,351 
Property catastrophe1,832
 (164) 1,668
Property catastrophe20,053 (3,286)16,767 
Other52,275
 (11,286) 40,989
Other62,473 (5,858)56,615 
Total$497,356
 $(154,719) $342,637
Total$711,140 $(190,096)$521,044 
Premium estimates are reviewed by management at least quarterly. Such review includes a comparison of actual reported premiums to expected ultimate premiums along with a review of the aging and collection of premium estimates. Based on management’s review, the appropriateness of the premium estimates is evaluated, and any adjustment to these estimates is recorded in the period in which it becomes known. Adjustments to premium estimates could be material and such adjustments could directly and significantly impact earnings favorably or unfavorably in the period they are determined because the estimated premium may be fully or substantially earned.
A significant portion of amounts included as premiums receivable, which represent estimated premiums written, net of commissions, are not currently due based on the terms of the underlying contracts. Based on currently available information, management believes that the premium estimates included in
we report premiums receivable will be collectiblenet of an allowance for expected credit loss. We monitor credit risk associated with premiums receivable through our ongoing review of amounts outstanding, aging of the receivable, historical data and therefore, no provision for doubtful accounts has been recorded on the premium estimates at December 31, 2017.counterparty financial strength measures.
Reinsurance premiums assumed, irrespective of the class of business, are generally earned on a pro rata basis over the terms of the underlying policies or reinsurance contracts. Contracts and policies written on a “losses occurring” basis cover claims that may occur during the term of the contract or policy, which is typically 12 months. Accordingly, the premium is earned evenly over the term. Contracts which are written on a “risks attaching” basis cover claims which attach to the underlying insurance policies written during the terms of such contracts. Premiums earned on such contracts usually extend beyond the original term of the reinsurance contract, typically resulting in recognition of premiums earned over a 24-month period.
Certain of our reinsurance contracts include provisions that adjust premiums or acquisition expenses based upon the experience under the contracts. Premiums written and earned, as well as related acquisition expenses, are recorded based upon the projected experience under such contracts.
Retroactive reinsurance reimburses a ceding company for liabilities incurred as a result of past insurable events covered by the underlying policies reinsured. In certain instances, reinsurance contracts cover losses both on a prospective basis and on a retroactive basis and, accordingly, we bifurcate the prospective and retrospective elements of these reinsurance contracts and accounts for each element separately where practical. Underwriting income generated in connection with retroactive reinsurance contracts is deferred and amortized into income over the settlement period while losses are charged to income immediately. Subsequent changes in estimated amount or timing of cash flows under such retroactive reinsurance contracts are accounted for by adjusting the previously deferred amount to the balance that would have existed had the revised estimate been available at the inception of the reinsurance transaction, with a corresponding charge or credit to income.
Mortgage guaranty insurance policies are contracts that are generally non-cancelable by the insurer, are renewable at a fixed price, and provide for payment of premiums on a monthly, annual or single basis. Upon renewal, we are not able to re-underwrite or re-price our policies. Consistent with industry accounting practices, premiums written on a monthly basis are earned as coverage is provided. Premiums written on an annual basis are amortized on a monthly pro

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rata basis over the year of coverage. Primary mortgage insurance premiums written on policies covering more than one year are referred to as single premiums. A portion of the revenue from single premiums is recognized in premiums earned in the current period, and the remaining portion is deferred as unearned premiums and earned over the estimated expiration of risk of the policy. If single premium policies related to insured loans are canceled due to repayment by the borrowerfor any reason and the policy is a non-refundable


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product, the remaining unearned premium related to each canceled policy is recognized as earned premium upon notification of the cancellation.
Unearned premiums represent the portion of premiums written that is applicable to the estimated unexpired risk of insured loans. A portion of premium payments may be refundable if the insured cancels coverage, which generally occurs when the loan is repaid, the loan amortizes to a sufficiently low amount to trigger a lender permitted or legally required cancellation, or the value of the property has increased sufficiently in accordance with the terms of the contract. Premium refunds reduce premiums earned in the consolidated statements of income. Generally, only unearned premiums are refundable.
Acquisition costs that are directly related and incremental to the successful acquisition or renewal of business are deferred and amortized based on the type of contract. For property and casualty insurance and reinsurance contracts, deferred acquisition costs are amortized over the period in which the related premiums are earned. Consistent with mortgage insurance industry accounting practice, amortization of acquisition costs related to the mortgage insurance contracts for each underwriting year’s book of business is recorded in proportion to estimated gross profits. Estimated gross profits are comprised of earned premiums and losses and loss adjustment expenses. For each underwriting year, we estimate the rate of amortization to reflect actual experience and any changes to persistency or loss development.
Acquisition expenses and other expenses related to our underwriting operations that vary with, and are directly related to, the successful acquisition or renewal of business are deferred and amortized based on the type of contract. Our insurance and reinsurance operations capitalize incremental direct external costs that result from acquiring a contract but do not capitalize salaries, benefits and other internal underwriting costs. For our mortgage insurance operations, which include a substantial direct sales force, both external and certain internal direct costs are deferred and amortized. Deferred acquisition costs are carried at their estimated realizable value and take into account anticipated losses and loss adjustment expenses, based on historical and current experience, and anticipated investment income.
A premium deficiency occurs if the sum of anticipated losses and loss adjustment expenses, unamortized acquisition costs
and maintenance costs and anticipated investment income exceed unearned premiums. A premium deficiency reserve (“PDR”) is recorded by charging any unamortized acquisition costs to expense to the extent required in order to eliminate the deficiency. If the premium deficiency exceeds unamortized acquisition costs then a liability is accrued for the excess deficiency.
To assess the need for a PDR on our mortgage exposures, we develop loss projections based on modeled loan defaults related to our current policies in force. This projection is based on recent trends in default experience, severity and rates of defaulted loans moving to claim, as well as recent trends in the rate at which loans are prepaid, and incorporates anticipated interest income. Evaluating the expected profitability of our existing mortgage insurance business and the need for a PDR for our mortgage business involves significant reliance upon assumptions and estimates with regard to the likelihood, magnitude and timing of potential losses and premium revenues. The models, assumptions and estimates we use to evaluate the need for a PDR may prove to be inaccurate, especially during an extended economic downturn or a period of extreme market volatility and uncertainty.
No premium deficiency charges were recorded by us during 2017, 20162020 and 2015.2019.
Fair Value Measurements
Accounting guidance regarding fair value measurements addresses how companies should measure fair value when they are required to use a fair value measure for recognition or disclosure purposes under GAAP and provides a common definition of fair value to be used throughout GAAP. It defines fair value as the price that would be received to sell an asset or paid to transfer a liability in an orderly fashion between market participants at the measurement date. In addition, it establishes a three-level valuation hierarchy for the disclosure of fair value measurements. The valuation hierarchy is based upon the transparency of inputs to the valuation of an asset or liability as of the measurement date. The level in the hierarchy within which a given fair value measurement falls is determined based on the lowest level input that is significant to the measurement (Level 1 being the highest priority and Level 3 being the lowest priority).
We determine the existence of an active market based on our judgment as to whether transactions for the financial instrument occur in such market with sufficient frequency and volume to provide reliable pricing information. The independent pricing sources obtain market quotations and actual transaction prices for securities that have quoted prices in active markets. We use quoted values and other data provided by nationally recognized independent pricing sources as inputs into our process for determining fair values of our fixed maturity investments. To validate the techniques or models used by pricing sources, our review process includes, but is not limited to: quantitative analysis (e.g., comparing the quarterly return for each managed portfolio to their target benchmark, with significant differences identified and investigated); a review of the average number of prices obtained in the pricing process and the range of resulting fair values; initial and ongoing evaluation of methodologies used by outside parties to calculate fair value; comparing the fair value estimates to our knowledge of the current market; a


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comparison of the pricing services’ fair values to other pricing services’ fair values for the same investments; and back-testing, which includes randomly selecting purchased or sold securities and comparing the executed prices to the fair value estimates from the pricing service. Where multiple quotes or prices were obtained, a price source hierarchy was maintained in order to determine which price source would be used (i.e., a price obtained from a pricing service with more seniority in the hierarchy will be used from a less senior one in all cases). The hierarchy prioritizes pricing services based on availability and reliability and assigns the highest priority to index providers. Based on the above review, we will challenge any prices for a security or portfolio which are considered not to be representative of fair value.
The independent pricing sources obtain market quotations and actual transaction prices for securities that have quoted prices in active markets. Each source has its own proprietary method for determining the fair value of securities that are not actively traded. In general, these methods involve the use of “matrix pricing” in which the independent pricing source uses observable market inputs including, but not limited to, investment yields, credit risks and spreads, benchmarking of like securities, broker-dealer quotes, reported trades and sector groupings to determine a reasonable fair value. In addition, pricing vendors use model processes, such as an Option Adjusted Spread model, to develop prepayment and interest rate scenarios. The Option Adjusted Spread model is commonly used to estimate fair value for securities such as mortgage backed and asset backed securities. In certain circumstances, when fair values are unavailable from these independent pricing sources, quotes are obtained directly from broker-dealers who are active in the corresponding markets. Such quotes are subject to the validation procedures noted above.
We review our securities measured at fair value and discuss the proper classification of such investments with investment advisors and others. See note 10, “Fair Value,” to our consolidated financial statements in Item 8 for a summary of our financial assets and liabilities measured at fair value at December 31, 20172020 by valuation hierarchy.
Other-Than-Temporary Impairments
On a quarterly basis, we perform reviews of our investments to determine whether declines in fair value below the cost basis are considered other-than-temporary in accordance with applicable accounting guidance regarding the recognition and presentation of OTTI. The process of determining whether a security is other-than-temporarily impaired requires judgment and involves analyzing many factors. These factors include: an analysis of the liquidity, business prospects and overall financial condition of the issuer; the time period in which there was a significant decline in value; the significance of the decline; and the analysis of specific credit events.
We evaluate the unrealized losses of our equity securities by issuer and determine if we can forecast a reasonable period of time by which the fair value of the securities would increase and we would recover our cost. If we are unable to forecast a reasonable period of time in which to recover the cost of our equity securities, we record an OTTI equivalent to the entire unrealized loss. For debt securities, we separate an OTTI into two components when there are credit related losses associated with the impaired debt security for which we assert that we do not have the intent to sell the security, and it is more likely than not that we will not be required to sell the security before recovery of its cost basis. The amount of the OTTI related to a credit loss is recognized in earnings, and the amount of the OTTI related to other factors (e.g., interest rates, market conditions, etc.) is recorded as a component of other comprehensive income or loss. The amount of the credit loss of an impaired debt security is the difference between the amortized cost and the greater of (i) the present value of expected future cash flows and (ii) the fair value of the security. In instances where no credit loss exists but it is more likely than not that we will have to sell the debt security prior to the anticipated recovery, the decline in fair value below amortized cost is recognized as an OTTI in earnings. In periods after the recognition of an OTTI on debt securities, we account for such securities as if they had been purchased on the measurement date of the OTTI at an amortized cost basis equal to the previous amortized cost basis less the OTTI recognized in earnings. For debt securities for which OTTI were recognized in earnings, the difference between the new amortized cost basis and the cash flows expected to be collected will be accreted or amortized into net investment income.
For 2017, we recorded $7.1 million of credit related impairments in earnings, compared to $30.4 million in 2016 and $20.1 million in 2015. See note 9, “Investment Information—Other-Than-Temporary Impairments,” to our consolidated financial statements in Item 8 for additional information.
Reclassifications
We have reclassified the presentation of certain prior year information to conform to the current presentation. Such reclassifications had no effect on our net income, shareholders’ equity or cash flows.
RecentSignificant Accounting Pronouncements
See For all other significant accounting policies see note 3(q),3, “Significant Accounting Policies—RecentPolicies” and note 3-(r), “Recent Accounting Pronouncements,”Pronouncements” to our consolidated financial statements in Item 8 for disclosures concerning our companies significant accounting policies and recent accounting pronouncements.



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FINANCIAL CONDITION
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FINANCIAL CONDITION
Investable Assets
At December 31, 2017,2020, total investable assets held by Arch were $19.72$26.9 billion, excluding the $2.44$2.7 billion included in the ‘other’ segment (i.e., attributable to Watford Re)Watford).
Investable Assets Held by Arch
The Finance, Investment and Risk Committee (“FIR”) of our board of directors establishes our investment policies and sets the parameters for creating guidelines for our investment managers. The FIR Committee reviews the implementation of the investment strategy on a regular basis. Our current approach stresses preservation of capital, market liquidity and diversification of risk. While maintaining our emphasis on preservation of capital and liquidity, we expect our portfolio to become more diversified and, as a result, we may expand into areas which are not currently part of our investment strategy. Our Chief Investment Officer administers the investment portfolio, oversees our investment managers and formulates investment strategy in conjunction with the FIR Committee.FIR.
The following table summarizes the fair value of investable assets held by Arch (i.e., excluding the ‘other’ segment):
Investable assets (1):Estimated
Fair Value
% of
Total
December 31, 2020
Fixed maturities (2)$18,771,296 69.9 
Short-term investments (2)2,063,240 7.7 
Cash694,997 2.6 
Equity securities (2)1,436,104 5.3 
Other investments1,480,347 5.5 
Other investable assets (3)500,000 1.9 
Investments accounted for using the equity method2,047,889 7.6 
Securities transactions entered into but not settled at the balance sheet date(137,578)(0.5)
Total investable assets held by Arch$26,856,295 100.0 
Average effective duration (in years)3.01 
Average S&P/Moody’s credit ratings (4)AA/Aa2
Embedded book yield (5)1.56 %
December 31, 2019
Fixed maturities (2)$16,894,021 75.8 
Short-term investments (2)1,004,257 4.5 
Cash623,793 2.8 
Equity securities (2)827,842 3.7 
Other investments1,336,920 6.0 
Investments accounted for using the equity method1,660,396 7.5 
Securities transactions entered into but not settled at the balance sheet date(61,553)(0.3)
Total investable assets held by Arch$22,285,676 100.0 
Average effective duration (in years)3.40 
Average S&P/Moody’s credit ratings (4)AA/Aa2
Embedded book yield (5)2.55 %
Investable assets (1):
Estimated
Fair Value
 
% of
Total
December 31, 2017   
Fixed maturities (2)$14,798,213
 75.1
Short-term investments (2)1,509,713
 7.7
Cash551,696
 2.8
Equity securities (2)576,040
 2.9
Other investments (2)1,476,960
 7.5
Investments accounted for using the equity method1,041,322
 5.3
Securities transactions entered into but not settled at the balance sheet date(237,523) (1.2)
Total investable assets held by Arch$19,716,421
 100.0
    
December 31, 2016   
Fixed maturities (2)$14,521,774
 77.9
Short-term investments (2)676,547
 3.6
Cash768,049
 4.1
Equity securities (2)558,008
 3.0
Other investments (2)1,276,841
 6.9
Investments accounted for using the equity method811,273
 4.4
Securities transactions entered into but not settled at the balance sheet date23,697
 0.1
Total investable assets held by Arch$18,636,189
 100.0
(1)In securities lending transactions, we receive collateral in excess of the fair value of the securities pledged. For purposes of this table, we have excluded the collateral received under securities lending, at fair value and included the securities pledged under securities lending, at fair value.
(2)Includes investments carried as available for sale, at fair value and at fair value under the fair value option.
(1)In securities lending transactions, we receive collateral in excess of the fair value of the securities pledged. For purposes of this table, we have excluded the collateral received under securities lending, at fair value and included the securities pledged under securities lending, at fair value.
(2)Includes investments carried as available for sale, at fair value and at fair value under the fair value option.
(3)Participation interests in a receivable of a reverse repurchase agreement.
(4)Average credit ratings on our investment portfolio on securities with ratings by Standard & Poor’s Rating Services (“S&P”) and Moody’s Investors Service (“Moody’s”).
(5)Before investment expenses.
At December 31, 2017, our fixed income portfolio, which includes fixed maturity securities and short-term investments, had average credit quality ratings from S&P/Moody’s of “AA-/Aa2” and an average yield to maturity (embedded book yield), before investment expenses, of 2.32%. At December 31, 2016, our fixed income portfolio had average credit quality ratings from S&P/Moody’s of “AA-/Aa3” and an average yield to maturity of 2.03%. Our investment portfolio had an average effective duration of 2.83 years at December 31, 2017, compared to 3.64 years at December 31, 2016. At December 31, 2017,2020, approximately $13.73$19.2 billion, or 70%71%, of total investable assets held by Arch were internally managed, compared to $13.90$15.8 billion, or 75%71%, at December 31, 2016.2019.


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The following table summarizes our fixed maturities and fixed maturities pledged under securities lending agreements (“Fixed Maturities”) by type:
Estimated
Fair Value
% of
Total
Estimated
Fair Value
 
% of
Total
December 31, 2017 
  
December 31, 2020December 31, 2020 
Corporate bonds$4,787,272
 32.4
Corporate bonds$8,039,745 42.8 
Mortgage backed securities328,924
 2.2
Mortgage backed securities616,619 3.3 
Municipal bonds2,158,840
 14.6
Municipal bonds492,734 2.6 
Commercial mortgage backed securities545,817
 3.7
Commercial mortgage backed securities390,990 2.1 
U.S. government and government agencies3,484,257
 23.5
U.S. government and government agencies5,354,863 28.5 
Non-U.S. government securities1,704,337
 11.5
Non-U.S. government securities2,310,157 12.3 
Asset backed securities1,788,766
 12.1
Asset backed securities1,566,188 8.3 
Total$14,798,213
 100.0
Total$18,771,296 100.0 
   
December 31, 2016 
  
December 31, 2019December 31, 2019 
Corporate bonds$4,696,079
 32.3
Corporate bonds$6,561,354 38.8 
Mortgage backed securities504,677
 3.5
Mortgage backed securities541,800 3.2 
Municipal bonds3,713,434
 25.6
Municipal bonds880,119 5.2 
Commercial mortgage backed securities536,051
 3.7
Commercial mortgage backed securities734,244 4.3 
U.S. government and government agencies2,804,811
 19.3
U.S. government and government agencies4,632,947 27.4 
Non-U.S. government securities1,142,735
 7.9
Non-U.S. government securities1,995,813 11.8 
Asset backed securities1,123,987
 7.7
Asset backed securities1,547,744 9.2 
Total$14,521,774
 100.0
Total$16,894,021 100.0 


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The following table provides the credit quality distribution of our Fixed Maturities. For individual fixed maturities, S&P ratings are used. In the absence of an S&P rating, ratings from Moody’s are used, followed by ratings from Fitch Ratings.
Estimated Fair Value% of
Total
December 31, 2020
U.S. government and gov’t agencies (1)$5,963,758 31.8 
AAA3,117,046 16.6 
AA2,063,738 11.0 
A3,760,280 20.0 
BBB2,699,201 14.4 
BB574,189 3.1 
B268,095 1.4 
Lower than B54,795 0.3 
Not rated270,194 1.4 
Total$18,771,296 100.0 
December 31, 2019
U.S. government and gov’t agencies (1)$5,215,489 30.9 
AAA3,392,341 20.1 
AA2,115,828 12.5 
A3,849,458 22.8 
BBB1,495,467 8.9 
BB355,803 2.1 
B216,663 1.3 
Lower than B56,865 0.3 
Not rated196,107 1.2 
Total$16,894,021 100.0 
(1)Includes U.S. government-sponsored agency mortgage backed securities and agency commercial mortgage backed securities.
 Estimated Fair Value 
% of
Total
December 31, 2017   
U.S. government and gov’t agencies (1)$3,771,835
 25.5
AAA4,080,808
 27.6
AA2,440,864
 16.5
A2,470,936
 16.7
BBB1,157,136
 7.8
BB313,286
 2.1
B254,011
 1.7
Lower than B77,543
 0.5
Not rated231,794
 1.6
Total$14,798,213
 100.0
    
December 31, 2016   
U.S. government and gov’t agencies (1)$3,210,899
 22.1
AAA3,918,739
 27.0
AA3,148,226
 21.7
A2,338,834
 16.1
BBB1,203,942
 8.3
BB226,321
 1.6
B156,405
 1.1
Lower than B90,833
 0.6
Not rated227,574
 1.6
Total$14,521,774
 100.0
(1)Includes U.S. government-sponsored agency mortgage backed securities and agency commercial mortgage backed securities.
The following table provides information on the severity of the unrealized loss position as a percentage of amortized cost for all Fixed Maturities which were in an unrealized loss position:
Severity of gross unrealized losses:Estimated Fair Value 
Gross
Unrealized
Losses
 
% of
Total Gross
Unrealized
Losses
Severity of gross unrealized losses:Estimated Fair ValueGross
Unrealized
Losses
% of
Total Gross
Unrealized
Losses
December 31, 2017     
December 31, 2020December 31, 2020
0-10%$9,598,768
 $(93,057) 87.6
0-10%$3,583,981 $(55,542)79.4 
10-20%82,638
 (11,269) 10.6
10-20%95,495 (12,183)17.4 
20-30%2,108
 (671) 0.6
20-30%1,061 (406)0.6 
Greater than 30%1,881
 (1,184) 1.1
Greater than 30%1,249 (1,785)2.6 
Total$9,685,395
 $(106,181) 100.0
Total$3,681,786 $(69,916)100.0 
     
December 31, 2016     
December 31, 2019December 31, 2019
0-10%$7,078,582
 $(127,909) 71.6
0-10%$4,136,798 $(49,072)95.3 
10-20%155,403
 (24,219) 13.5
10-20%12,405 (1,796)3.5 
20-30%89,887
 (25,929) 14.5
20-30%830 (273)0.5 
Greater than 30%1,496
 (702) 0.4
Greater than 30%315 (363)0.7 
Total$7,325,368
 $(178,759) 100.0
Total$4,150,348 $(51,504)100.0 
The following table summarizes our top ten exposures to fixed income corporate issuers by fair value at December 31, 2017,2020, excluding guaranteed amounts and covered bonds:
 Estimated Fair Value 
Credit
Rating (1)
Apple Inc.$239,649
 AA+/Aa1
Citigroup Inc.129,196
 A/A2
Microsoft Corporation118,895
 AAA/Aaa
Philip Morris International Inc.118,647
 A/A2
JPMorgan Chase & Co.112,047
 A-/A3
Wells Fargo & Company104,159
 A/A1
Oracle Corporation98,753
 AA-/A1
The Bank of New York Mellon Corporation87,933
 A/A1
The Goldman Sachs Group, Inc.79,476
 BBB+/A3
American Express Company76,185
 BBB+/A3
Total$1,164,940
  
(1)Average credit ratings as assigned by S&P and Moody’s, respectively.Estimated Fair ValueCredit
Rating (1)
Bank of America Corporation$323,808 A-/A2
JPMorgan Chase & Co.275,040 A-/A2
Wells Fargo & Company264,035 BBB+/A2
Nestlé S.A.213,454 AA-/Aa3
Citigroup Inc.187,920 BBB+/A3
Morgan Stanley178,906 BBB+/A2
Johnson & Johnson156,579 AAA/Aaa
Apple Inc.152,573 AA+/Aa1
The Goldman Sachs Group, Inc.129,030 BBB+/A3
Comcast Corporation115,407 A-/A3
Total$1,996,752 
(1)Average credit ratings as assigned by S&P and Moody’s, respectively.

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The following table provides information on our structured securities, which include residential mortgage-backed securities (RMBS), commercial mortgage-backed securities (CMBS) and asset backed securities (“ABS”):
 Agencies Investment Grade Below Investment Grade Total
Dec. 31, 2017  

 

  
RMBS$284,466
 $14,581
 $29,877
 $328,924
CMBS3,112
 465,980
 76,725
 545,817
ABS
 1,691,232
 97,534
 1,788,766
Total$287,578
 $2,171,793
 $204,136
 $2,663,507
   

 

  
Dec. 31, 2016  

 

  
RMBS$393,188
 $60,600
 $50,889
 $504,677
CMBS12,900
 513,266
 9,885
 536,051
ABS
 1,077,614
 46,373
 1,123,987
Total$406,088
 $1,651,480
 $107,147
 $2,164,715
At December 31, 2017, our structured securities included $42.3 million par value in sub-prime securities with a fair value of $35.4 million and average credit quality ratings from S&P/Moody’s of “CCC/Caa3.” At December 31, 2016, our fixed income portfolio included $25.3 million par value in sub-prime securities with a fair value of $23.3 million and average credit quality ratings from S&P/Moody’s of “CCC/Caa3.”
At December 31, 2017, our investment portfolio included $576.0 million of equity securities, compared to $558.0 million at December 31, 2016. Our equity portfolio includes publicly traded common stocks in the natural resources, energy, consumer staples and other sectors.


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The following table provides information on the severity of the unrealized loss position as a percentage of cost for all equity securities classified as available for sale which were in an unrealized loss position:
Severity of gross unrealized losses:Estimated Fair Value 
Gross
Unrealized
Losses
 
% of
Total Gross
Unrealized
Losses
December 31, 2017     
0-10%$157,810
 $(3,592) 64.3
10-20%6,110
 (884) 15.8
20-30%1,482
 (402) 7.2
Greater than 30%1,160
 (705) 12.6
Total$166,562
 $(5,583) 100.0
      
December 31, 2016     
0-10%$214,364
 $(8,776) 50.1
10-20%52,034
 (7,100) 40.5
20-30%1,983
 (607) 3.5
Greater than 30%1,000
 (1,034) 5.9
Total$269,381
 $(17,517) 100.0
AgenciesInvestment GradeBelow Investment GradeTotal
Dec. 31, 2020
RMBS$584,499 $4,102 $28,018 $616,619 
CMBS24,396 342,491 24,103 390,990 
ABS— 1,403,137 163,051 1,566,188 
Total$608,895 $1,749,730 $215,172 $2,573,797 
Dec. 31, 2019
RMBS$503,929 $7,770 $30,101 $541,800 
CMBS78,612 629,424 26,208 734,244 
ABS— 1,483,449 64,295 1,547,744 
Total$582,541 $2,120,643 $120,604 $2,823,788 
The following table provides information on the fair value ofsummarizes our Eurozoneequity securities, which include investments in exchange traded funds:
December 31,
20202019
Equities (1)$676,437 $375,067 
Exchange traded funds
Fixed income (2)341,139 7,237 
Equity and other (3)418,528 445,538 
Total$1,436,104 $827,842 
(1)Primarily in consumer non-cyclical, consumer cyclical, technology, communications and industrial stocks at December 31, 2017:2020.
(2)Primarily in corporate and MBS at December 31, 2020.
(3)Primarily in foreign equities, utilities, large and mid cap stocks at December 31, 2020.
The following table summarizes our other investments and other investable assets:
December 31,
20202019
Term loan investments380,193 264,083 
Lending572,636 602,841 
Credit related funds90,780 123,020 
Energy65,813 97,402 
Investment grade fixed income138,646 151,594 
Infrastructure165,516 61,786 
Private equity48,750 18,915 
Real estate18,013 17,279 
Total fair value option1,480,347 1,336,920 
Other investable assets500,000 — 
Total other investments$1,980,347 $1,336,920 
Country (1)
Sovereign
(2)
 Corporate Bonds 
Other
(3)
 Total
Germany$151,138
 $3,069
 $48,015
 $202,222
Netherlands106,924
 59,007
 5,952
 171,883
Belgium67,845
 9,068
 1,206
 78,119
France
 12,656
 36,947
 49,603
Luxembourg
 16,065
 16,727
 32,792
Spain
 1,642
 18,417
 20,059
Austria18,503
 
 
 18,503
Ireland
 6,608
 1,425
 8,033
Greece2,356
 
 4,313
 6,669
Finland
 
 4,346
 4,346
Italy
 2,191
 457
 2,648
Portugal
 
 1,047
 1,047
Total$346,766
 $110,306
 $138,852
 $595,924
(1)The country allocations set forth in the table are based on various assumptions made by us in assessing the country in which the underlying credit risk resides, including a review of the jurisdiction of organization, business operations and other factors. Based on such analysis, we do not believe that we have any other Eurozone investments at December 31, 2017.
(2)Includes securities issued and/or guaranteed by Eurozone governments.
(3)Includes bank loans, equities and other.
The following table summarizes our other investments:investments accounted for using the equity method, by strategy:

December 31,

20202019
Credit related funds$740,060 $428,437 
Equities343,058 293,686 
Real estate258,518 246,851 
Lending179,629 202,690 
Private equity235,289 144,983 
Infrastructure175,882 235,033 
Energy115,453 108,716 
Total$2,047,889 $1,660,396 
 December 31,
 2017 2016
Available for sale:   
Asian and emerging markets$135,140
 $84,778
Investment grade fixed income53,878
 33,923
Credit related funds18,365
 7,469
Other57,606
 41,800
Total available for sale264,989
 167,970
Fair value option:   
Term loan investments326,085
 378,877
Mezzanine debt funds252,160
 127,943
Credit related funds175,422
 218,298
Investment grade fixed income102,347
 75,468
Asian and emerging markets208,928
 178,568
Other (1)147,029
 129,717
Total fair value option1,211,971
 1,108,871
Total$1,476,960
 $1,276,841
(1)Includes fund investments with strategies in mortgage servicing rights, transportation and infrastructure assets and other.
Our investment strategy allows for the use of derivative instruments. We utilize various derivative instruments such as futures contracts to enhance investment performance, replicate investment positions or manage market exposures and duration risk that would be allowed under our investment guidelines if implemented in other ways. See note 11, “Derivative Instruments,” to our consolidated financial statements in Item 8 for additional disclosures concerning derivatives.
Accounting guidance regarding fair value measurements addresses how companies should measure fair value when they are required to use a fair value measure for recognition or disclosure purposes under GAAP and provides a common definition of fair value to be used throughout GAAP. See note 10, “Fair Value,” to our consolidated financial statements in Item 8 for a summary of our financial assets and liabilities measured at fair value at December 31, 20172020 and December 31, 20162019 segregated by level in the fair value hierarchy.
Investable Assets in the ‘Other’ Segment
Investable assets in the ‘other’ segment are managed by Watford Re.Watford. The board of directors of Watford Re establishes their investment policies and guidelines. Watford Re’s investments are accounted for using the fair value option with changes in the carrying value of such investments recorded in net realized gains or losses.




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The following table summarizes investable assets in the ‘other’ segment:
December 31,
20202019
Investments accounted for using the fair value option:
Other investments$851,538 $1,092,396 
Fixed maturities455,163 416,592 
Short-term investments418,690 329,303 
Equity securities64,994 59,799 
Total1,790,385 1,898,090 
Fixed maturities available for sale, at fair value613,503 706,875 
Equity securities52,410 65,337 
Cash211,451 102,437 
Securities sold but not yet purchased(21,679)(66,257)
Securities transactions entered into but not settled at the balance sheet date11,542 (1,893)
Total investable assets included in ‘other’ segment$2,657,612 $2,704,589 
 December 31,
 2017 2016
Investments accounted for using the fair value option:   
Other investments$924,410
 $811,922
Fixed maturities1,177,033
 734,260
Short-term investments256,755
 309,127
Equity securities67,868
 2,314
Total2,426,066
 1,857,623
Cash54,503
 74,893
Securities sold but not yet purchased(34,375) (33,157)
Securities transactions entered into but not settled at the balance sheet date(6,127) (41,596)
Total investable assets included in ‘other’ segment$2,440,067
 $1,857,763
Premiums Receivable and Reinsurance Recoverables
At December 31, 2017, 78.2% of premiums receivable of $1.14 billion represented amounts not yet due, while amounts in excess of 90 days overdue were 4.0% of the total. At December 31, 2016, 81.0% of premiums receivable of $1.07 billion represented amounts not yet due, while amounts in excess of 90 days overdue were 5.2% of the total. At December 31, 2017 and 2016, our reserves for doubtful accounts were approximately $25.3 million and $21.0 million, respectively.
At December 31, 2017 and 2016, approximately 69.9% and 75.7% of reinsurance recoverables on paid and unpaid losses (not including ceded unearned premiums) of $2.54 billion and $2.11 billion, respectively, were due from carriers which had an A.M. Best rating of “A-” or better while 30.1% and 24.3%, respectively, were from companies not rated. For items not rated, over 90% of such amount was collateralized through reinsurance trusts or letters of credit at December 31, 2017 and 2016. The largest reinsurance recoverables from any one carrier was approximately 2.2% and 2.4%, respectively, of total shareholders’ equity available to Arch at December 31, 2017 and 2016.
Approximately 3.0% of the $75.2 million of paid losses and loss adjustment expenses recoverable were in excess of 90 days overdue at December 31, 2017, compared to 6.7% of the $30.6 million of paid losses and loss adjustment expenses recoverable at December 31, 2016. No collection issues were indicated on the amount in excess of 90 days overdue at December 31, 2017.
The following table details our reinsurance recoverables at December 31, 2017:
2020:
% of Total
A.M. Best

Rating (1)
Everest Reinsurance CompanyLloyd’s syndicates (2)7.95.5 
A+
Munich Reinsurance America, Inc.6.3
A+A
Hannover Rückversicherung AGck SE5.05.1 
A+
Swiss Reinsurance America Corporation4.9
A+
XL Catlin plc4.4
A
TransatlanticEverest Reinsurance Company4.34.5 
A+
Partner Reinsurance Company of the U.S.4.33.4 
AA+
Lloyd’s syndicates (2)XL Re3.3
A+
Liberty Mutual Insurance Company3.2 A
Munich Reinsurance America, Inc.3.1 A+
Berkley Insurance Company3.22.5 
A+
Liberty Mutual InsuranceTransatlantic Reinsurance Company3.02.5 
AA+
Odyssey America Reinsurance CorporationRe2.71.9 
A
All other -- “A-” or better20.624.0 
All other -- not rated (3)30.136.1 
Total100.0
(1)The financial strength ratings are as of February 12, 2018 and were assigned by A.M. Best based on its opinion of the insurer’s financial strength as of such date. An explanation of the ratings listed in the table follows: the rating of “A+” is designated “Superior”; and the “A” rating is designated “Excellent.”
(2)The A.M. Best group rating of “A” (Excellent) has been applied to all Lloyd’s syndicates.
(3)Over 90% of such amount is collateralized through reinsurance trusts or letters of credit.
(1)    The financial strength ratings are as of February 11, 2021 and were assigned by A.M. Best based on its opinion of the insurer’s financial strength as of such date. An explanation of the ratings listed in the table follows: the rating of “A+” is designated “Superior”; and the “A” rating is designated “Excellent.”
(2)    The A.M. Best group rating of “A” (Excellent) has been applied to all Lloyd’s syndicates.
(3)    Over 94% of such amount is collateralized through reinsurance trusts, funds withheld arrangements, letters of credit or other.

See note 8, “Reinsurance,” to our consolidated financial statements in Item 8 for further details.

Reserves for Losses and Loss Adjustment Expenses
We establish reserves for losses and LAE (Loss Reserves)(“Loss Reserves”) which represent estimates involving actuarial and statistical projections, at a given point in time, of our expectations of the ultimate settlement and administration costs of losses incurred. Estimating Loss Reserves is inherently difficult, which is exacerbated by the fact that we have relatively limited historical experience upon which to base such estimates.difficult. We utilize actuarial models as well as available historical insurance industry loss ratio experience and loss development patterns to assist in the establishment of Loss Reserves. Actual losses and loss adjustment expenses paid will deviate, perhaps substantially, from the reserve estimates reflected in our financial statements. See “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Critical Accounting Policies, Estimates and Recent Accounting Pronouncements—Reserves for LossesLoss Reserves” and Loss Adjustment Expenses” and “Business—see Item 1“Business—Reserves” for further details.
Shareholders’ Equity and Book Value per Share
Total shareholders’ equity available to Arch was $9.20$13.1 billion at December 31, 2017,2020, compared to $8.25$11.5 billion at December 31, 2016.2019. The increase in 2017 was2020 primarily attributable toreflected the impact of investment returns, partially offset by the impact of a higher level of catastrophic activity (including COVID-19) on underwriting and investment returns.


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The following table presents the calculation of book value per share:
(U.S. dollars in thousands, except share data)December 31,
20202019
Total shareholders’ equity available to Arch$13,105,886 $11,497,371 
Less preferred shareholders’ equity780,000 780,000 
Common shareholders’ equity available to Arch$12,325,886 $10,717,371 
Common shares and common share equivalents outstanding, net of treasury shares (1)406,720,642405,619,201
Book value per share$30.31 $26.42 
(1)    Excludes the effects of 17,839,333 and 18,853,018 stock options and 1,153,784 and 1,586,779 restricted stock and performance units outstanding at December 31, 2020 and 2019, respectively.

(U.S. dollars in thousands, except share data)December 31,
2017 2016
Total shareholders’ equity available to Arch$9,196,602
 $8,253,718
Less preferred shareholders’ equity872,555
 772,555
Common shareholders’ equity available to Arch$8,324,047
 $7,481,163
Common shares and common share equivalents outstanding, net of treasury shares (1)136,652,139 135,550,337
Book value per share$60.91
 $55.19
LIQUIDITY
(1)Excludes the effects of 6,590,058 and 6,872,494 stock options and 304,496 and 381,461 restricted stock units outstanding at December 31, 2017 and December 31, 2016, respectively.

LIQUIDITYOur liquidity and capital resources were not materially impacted by COVID-19 during the 2020 period. We raised an additional $1.0 billion of capital in the form of long-term senior notes at the end of June 2020. For further discussion of our risks related to our potential future impacts of COVID-19 on our liquidity and capital resources, see “ITEM 1A—Risk Factors”.

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This section does not include information specific to Watford Re.Watford. We do not guarantee or provide credit support for Watford, Re, and our financial exposure to Watford Re is limited to our investment in Watford Re’sWatford’s senior notes, common and preferred shares and counterparty credit risk (mitigated by collateral) arising from reinsurance transactions with Watford Re.Watford.
Liquidity is a measure of our ability to access sufficient cash flows to meet the short-term and long-term cash requirements of our business operations.
Arch Capital is a holding company whose assets primarily consist of the shares in its subsidiaries. Generally, Arch Capital depends on its available cash resources, liquid investments and dividends or other distributions from its subsidiaries to make payments, including the payment of debt service obligations and operating expenses it may incur and any dividends or liquidation amounts with respect to our preferred and common shares.
In 2017,2020, Arch Capital received dividends of $220.3$221.6 million from Arch Re Bermuda, our Bermuda-based reinsurer and insurer. Arch U.S. MI Holdings Inc., a subsidiary of Arch-U.S., received $387.0 million of dividends from subsidiaries of United Guaranty Corporation, including United Guaranty Residential Insurance Company, in 2017. Of such amount, $263.0 million was contributedinsurer which can pay approximately $3.8 billion to Arch Mortgage Insurance Company. In addition, Arch-U.S. received $50.0 million of dividends from Arch Re U.S., our U.S.-licensed reinsurer.
PursuantCapital in 2021 without providing an affidavit to our 2014 acquisition of the CMG Entities, we made a contingent consideration payment of $71.7 million in April 2017. The contingent consideration payments are based on the closing book value of the pre-closing portfolio of the CMG Entities as re-calculated over an earn-out period and payable at
the third, fifth and sixth anniversaries after closing (subject to a one time extension period of one to three years at the sellers’ discretion)Bermuda Monetary Authority (“BMA”). The maximum amount of remaining contingent consideration payments is $68.2 million over the earn-out period. We currently expect that the maximum amount will be paid over the remaining earn-out period. To the extent that the adjusted book value of the CMG Entities drops below the cumulative amount paid by us, no additional payments would be due.
Our insurance and reinsurance operations provide liquidity in that premiums are received in advance, sometimes substantially in advance, of the time losses are paid. The period of time from the occurrence of a claim through the settlement of the liability may extend many years into the future. Sources of liquidity include cash flows from operations, financing arrangements or routine sales of investments.


As part of our investment strategy, we seek to establish a level of cash and highly liquid short-term and intermediate-term securities which, combined with expected cash flow, is believed by us to be adequate to meet our foreseeable payment obligations. However, due to the nature of our operations, cash flows are affected by claim payments that may comprise large payments on a limited number of claims and which can fluctuate from year to year. We believe that our liquid investments and cash flow will provide us with sufficient liquidity in order to meet our claim payment obligations. However, the timing and amounts of actual claim payments related to recorded Loss Reserves vary based on many factors, including large individual losses, changes in the legal environment, as well as general market conditions. The ultimate amount of the claim payments could differ materially from our estimated amounts. Certain lines of business written by us, such as excess casualty, have loss experience characterized as low frequency and high severity. The foregoing may result in significant variability in loss payment patterns. The impact of this variability can be
exacerbated by the fact that the timing of the receipt of reinsurance recoverables owed to us may be slower than anticipated by us. Therefore, the irregular timing of claim payments can create significant variations in cash flows from operations between periods and may require us to utilize other sources of liquidity to make these payments, which may include the sale of investments or utilization of existing or new credit facilities or capital market transactions. If the source of liquidity is the sale of investments, we may be forced to sell such investments at a loss, which may be material.
We expect that our liquidity needs, including our anticipated insurance obligations and operating and capital expenditure needs, for the next twelve months, at a minimum, will be met by funds generated from underwriting activities and investment income, as well as by our balance of cash, short-term investments, proceeds on the sale or maturity of our investments, and our credit facilities.


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Dividend Restrictions
Arch Capital has no material restrictions on its ability to make distributions to shareholders, howevershareholders. However, the ability of our regulated insurance and reinsurance subsidiaries to pay dividends or make distributions or other payments to us is limited by the applicable local laws and relevant regulations of the various countries and states in which we operate. See note 23,25, “Statutory Information,” to our consolidated financial statements in Item 8 for additional information on dividend restrictions.
The payment of dividends from Arch Re Bermuda is, under certain circumstances, limited under Bermuda law, which requires our Bermuda operating subsidiary to maintain certain measures of solvency and liquidity.
Our U.S. insurance and reinsurance subsidiaries are subject to insurance laws and regulations in the jurisdictions in which they operate. The ability of our regulated insurance subsidiaries to pay dividends or make distributions is dependent on their ability to meet applicable regulatory standards. These regulations include restrictions that limit the amount of dividends or other distributions, such as loans or cash advances, available to shareholders without prior approval of the insurance regulatory authorities. Each state requires prior regulatory approval of any payment of extraordinary dividends.
We also have insurance subsidiaries that are the parent company for other insurance subsidiaries, which means that dividends and other distributions will be subject to multiple layers of regulations in order for our insurance subsidiaries to be able to dividend funds to Arch Capital. The inability of the subsidiaries of Arch Capital to pay dividends and other permitted distributions could have a material adverse effect

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on Arch Capital’s cash requirements and our ability to make principal, interest and dividend payments on the senior notes, preferred shares and common shares.
In addition to meeting applicable regulatory standards, the ability of our insurance and reinsurance subsidiaries to pay dividends is also constrained by our dependence on the financial strength ratings of our insurance and reinsurance subsidiaries from independent rating agencies. The ratings from these agencies depend to a large extent on the capitalization levels of our insurance and reinsurance subsidiaries. We believe that Arch Capital has sufficient cash resources and available dividend capacity to service its indebtedness and other current outstanding obligations.
Restricted Assets
Our insurance, reinsurance and mortgage insurance subsidiaries are required to maintain assets on deposit, which primarily consist of fixed maturities, with various regulatory authorities to support their operations. The assets on deposit are available to settle insurance and reinsurance liabilities to third
parties. Our insurance and reinsurance subsidiaries maintain assets in trust accounts as collateral for insurance and reinsurance transactions with affiliated companies and also have investments in segregated portfolios primarily to provide collateral or guarantees for letters of credit to third parties. At December 31, 20172020 and 2016,2019, such amounts approximated $6.01$7.7 billion and $5.48$6.8 billion, respectively, excluding amounts related to the ‘other’ segment.
Our investments in certain securities, including certain fixed income and structured securities, investments in funds accounted for using the equity method, other alternative investments and investments in ventures such as Watford Re and others may be illiquid due to contractual provisions or investment market conditions. If we require significant amounts of cash on short notice in excess of anticipated cash requirements, then we may have difficulty selling these investments in a timely manner or may be forced to sell or terminate them at unfavorable values. Our unfunded investment commitments totaled approximately $1.70$2.1 billion at December 31, 20172020 and are callable by our investment managers. The timing of the funding of investment commitments is uncertain and may require us to access cash on short notice.
Cash Flows
The following table summarizes our cash flows from operating, investing and financing activities, excluding amounts related to the ‘other’ segment:
Year Ended December 31,
20202019
Total cash provided by (used for):
Operating activities$2,705,054 $1,810,060 
Investing activities(3,301,816)(1,689,640)
Financing activities856,771 3,663 
Effects of exchange rate changes on foreign currency cash17,822 16,063 
Increase (decrease) in cash$277,831 $140,146 
 Year Ended December 31,
 2017 2016 2015
Total cash provided by (used for):     
Operating activities$827,319
 $1,109,913
 $705,128
Investing activities(888,341) (2,602,714) (357,038)
Financing activities(166,829) 1,830,042
 (367,529)
Effects of exchange rate changes on foreign currency cash11,502
 (13,967) (10,031)
Increase (decrease) in cash$(216,349) $323,274
 $(29,470)
Cash provided by operating activities for 20172020 was lowerhigher than in 2016,2019, primarily reflecting an increase in paid losses and purchases of tax and loss bonds. The 2016 period reflected a higher level of premiums collected than in the 2015 period, which reflected a higher level of outflows to reinsurers, including to Watford Re on affiliated transactions.2019 period.
Cash used for investing activities for 20172020 was lowerhigher than in 2016,2019, reflecting changes in cash collateral related toa higher level of securities lending. Activity for 2016 reflectedpurchased, and the investing of proceeds from our acquisitionissuance of UGC, which closed on December 31, 2016.senior notes.
Cash used forprovided by financing activities for 20172020 was higher than the cash provided in 2016, reflecting changes in cash collateral


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related to securities lending and a $125 million repayment of borrowing on our revolving credit agreement. Activity for 20162019, primarily reflected various capital raising activity, such as the issuance of $950.0 million$1.0 billion of senior notes, $400.0 million of borrowings under our revolving loan facility and $450.0 million of preferred shares in order to fund the cash consideration portion of the UGC acquisition. Activity for 2016notes. Cash flows also reflected $75.3$83.5 million of repurchases under our share repurchase program, compared to $365.4 million for 2015.program.
Investments
At December 31, 2017,2020, our investable assets were $19.72$26.9 billion, excluding the $2.44$2.7 billion of investable assets related to the ‘other’ segment. The primary goals of our asset liability management process are to satisfy the insurance liabilities, manage the interest rate risk embedded in those insurance liabilities and maintain sufficient liquidity to cover fluctuations in projected liability cash flows, including debt service obligations. Generally, the expected principal and interest payments produced by our fixed income portfolio adequately fund the estimated runoff of our insurance reserves. Although this is not an exact cash flow match in each period, the substantial degree by which the fair value of the fixed income portfolio exceeds the expected present value of the net insurance liabilities, as well as the positive cash flow from newly sold policies and the large amount of high quality liquid bonds, provide assurance of our ability to fund the payment of claims and to service our outstanding debt without having to sell securities at distressed prices or access credit facilities.
Changes in general economic conditions, including new or continued sovereign debt concerns in Eurozone countries or downgrades of U.S. securities by credit rating agencies, could have a material adverse effect on financial markets and economic conditions in the U.S. and throughout the world. In turn, this could have a material adverse effect on our business, financial condition and results of operations and, in particular, this could have a material adverse effect on the value and liquidity of securities in our investment portfolio. Our investment portfolio as of December 31, 2017 included $346.8 million of securities issued and/or guaranteed by Eurozone governments at fair value, $3.48 billion of obligations of the U.S. government and government agencies at fair value and $2.16 billion of municipal bonds at fair value. Please refer to Item 1A “Risk Factors”Risk Factors for a discussion of other risks relating to our business and investment portfolio.

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CAPITAL RESOURCES
This section does not include information specific to Watford Re.Watford. We do not guarantee or provide credit support for Watford, Re, and our financial exposure to Watford Re is limited to our investment in Watford Re’sWatford’s senior notes, common and preferred shares and counterparty credit risk (mitigated by collateral) arising from reinsurance transactions with Watford Re.
At December 31, 2017, total capital available to Arch of $11.30 billion consisted of $1.73 billion of senior notes, representing 15.3% of the total, $375.0 million of revolving credit agreement borrowings due in October 2021, representing 3.3% of the total, $872.6 million of preferred shares, representing 7.7% of the total, and common shareholders’ equity of $8.32 billion, representing 73.6% of the total. At December 31, 2016, total capital available to Arch of $10.49 billion consisted of $1.73 billion of senior notes, representing 16.5% of the total, $500.0 million of revolving credit agreement borrowings, representing 4.8% of the total, $772.6 million of preferred shares, representing 7.4% of the total, and common shareholders’ equity of $7.48 billion, representing 71.3% of the total.Watford.
The following table summarizesprovides an analysis of our capital structure:
(U.S. dollars in thousands, except 
share data)
December 31,
20202019
Senior notes$2,723,423 $1,734,209 
Shareholders’ equity available to Arch:
Series E non-cumulative preferred shares450,000 450,000 
Series F non-cumulative preferred shares330,000 330,000 
Common shareholders’ equity12,325,886 10,717,371 
Total$13,105,886 $11,497,371 
Total capital available to Arch$15,829,309 $13,231,580 
Debt to total capital (%)17.2 13.1 
Preferred to total capital (%)4.9 5.9 
Debt and preferred to total capital (%)22.1 19.0 
(U.S. dollars in thousands, except 
share data)
December 31,
2017 2016
Debt:   
Senior notes, due May 2034$297,053
 $296,957
Arch-U.S. senior notes, due Nov 2043 (1)494,621
 494,525
Arch Finance senior notes, due Dec 2026 (1)496,043
 495,689
Arch Finance senior notes, due Dec 2046 (1)445,167
 445,087
Revolving credit agreement borrowings due Oct 2021375,000
 500,000
Total$2,107,884
 $2,232,258
    
Shareholders’ equity available to Arch:   
Series C non-cumulative preferred shares (2)$92,555
 $322,555
Series E non-cumulative preferred shares450,000
 450,000
Series F non-cumulative preferred shares330,000
 
Common shareholders’ equity8,324,047
 7,481,163
Total$9,196,602
 $8,253,718
    
Total capital available to Arch$11,304,486
 $10,485,976
    
Debt to total capital (%)18.6
 21.3
Debt and preferred to total capital (%)26.4
 28.7
(1)Fully and unconditionally guaranteed by Arch Capital.
(2)Redeemed on January 2, 2018.
On June 30, 2020, Arch Capital and Arch-U.S. are each holding companies and, accordingly, they conduct substantially allissued $1.0 billion of their operations through their operating subsidiaries. Arch Capital Finance LLC (“Arch Finance”) is a wholly owned subsidiary30 year senior notes. The net proceeds of Arch U.S. MI Holdings Inc., a U.S. holding company. As a result, Arch Capital, Arch-U.S. and Arch Finance's cash flows and their ability to service their debt depends upon the earnings of their


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operating subsidiaries and on their ability to distribute the earnings, loans or other payments from such subsidiariesoffering were contributed to Arch Capital, Arch-U.S. and Arch Finance, respectively.
See note 17, “Senior Notes,”Re Bermuda to support our consolidated financial statements in Item 8 for additional disclosures concerning our senior notes and note 16, “Commitments and Contingencies—Letters of Credit and Revolving Credit Facilities,” to our consolidated financial statements in Item 8 for information on our revolving credit agreement borrowings. For additional information on our preferred shares, see note 19, “Shareholders’ Equity,” to our consolidated financial statements in Item 8.
During 2017, 2016 and 2015, we made interest payments of $103.7 million, $50.4 million and $49.6 million, respectively, related to our senior notes and other financing arrangements.underwriting operations.
In November 2017,2020, Arch Capital, Arch-U.S. and Arch Finance filed a universal shelf registration statement with the SEC. This registration statement allows for the possible future offer and sale by us of various types of securities, including unsecured debt securities, preference shares, common shares, warrants, share purchase contracts and units and depositary shares. The shelf registration statement enables us to efficiently access the public debt and/or equity capital markets in order to meet our future capital needs. The shelf registration statement also allows selling shareholders to resell common shares that they own in one or more offerings from time to time. We will not receive any proceeds from any shares offered by the selling shareholders.
Capital Adequacy
We monitor our capital adequacy on a regular basis and will seek to adjust our capital base (up or down) according to the needs of our business. The future capital requirements of our business will depend on many factors, including our ability to write new business successfully and to establish premium rates and reserves at levels sufficient to cover losses. Our
ability to underwrite is largely dependent upon the quality of our claims paying and financial strength ratings as evaluated by independent rating agencies. In particular, we require (1) sufficient capital to maintain our financial strength ratings, as issued by several ratings agencies, at a level considered necessary by management to enable our key operating subsidiaries to compete; (2) sufficient capital to enable our underwriting subsidiaries to meet the capital adequacy tests performed by statutory agencies in the U.S. and other key markets; and (3) our non-U.S. operating companies are required to post letters of credit and other forms of collateral that are necessary for them to operate as they are “non-admitted” under U.S. state insurance regulations.
In addition, Arch MI U.S. is required to maintain compliance with the GSEs requirements, known as the Private Mortgage Insurer Eligibility Requirements or “PMIERs.”PMIERs. The financial
requirements require an eligible mortgage insurer’s available assets, which generally include only the most liquid assets of an insurer, to meet or exceed “minimum required assets” as of each quarter end. Minimum required assets are calculated from PMIERs tables with several risk dimensions (including origination year, original loan-to-value and original credit score of performing loans, and the delinquency status of non-performing loans) and are subject to a minimum amount. Arch MI U.S. satisfied the PMIERs’ financial requirements as of December 31, 20172020 with a PMIER sufficiency ratio of 129%173%, compared to 116%161% at December 31, 2016.2019.
As part of our capital management program, we may seek to raise additional capital or may seek to return capital to our shareholders through share repurchases, cash dividends or other methods (or a combination of such methods). Any such determination will be at the discretion of our board of directors and will be dependent upon our profits, financial requirements and other factors, including legal restrictions, rating agency requirements and such other factors as our board of directors deems relevant.
To the extent that our existing capital is insufficient to fund our future operating requirements or maintain such ratings, we may need to raise additional funds through financings or limit our growth. We can provide no assurance that, if needed, we would be able to obtain additional funds through financing on satisfactory terms or at all. Any adverse developments in the financial markets, such as disruptions, uncertainty or volatility in the capital and credit markets, may result in realized and unrealized capital losses that could have a material adverse effect on our results of operations, financial position and our businesses, and may also limit our access to capital required to operate our business. In addition to common share capital, we depend on external sources of finance to support our underwriting activities, which can be in the form (or any combination) of debt securities, preference shares, common equity and bank credit facilities providing loans and/or letters of credit.

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Arch Capital, through its subsidiaries, provides financial support to certain of its insurance subsidiaries and affiliates, through certain reinsurance arrangements beneficial to the ratings of such subsidiaries. OurHistorically, our U.S.-based insurance, reinsurance and mortgage insurance subsidiaries have entered into separate reinsurance arrangements with Arch Re Bermuda covering individual lines of business. For the 2017 calendar year, the U.S. groups ceded quota share business to Arch Re Bermuda at an aggregate net cession rate (i.e., net of third party reinsurance) of approximately 45% (compared to 53% for 2016). All of the above factors have resulted in the non-U.S. group providing a higher contribution to our overall pre-tax income in the current period than the percentage of net premiums written would indicate. The reinsurance agreements between our U.S.-based property casualty insurance and reinsurance subsidiaries and Arch Re Bermuda were not renewedcanceled on a cutoff basis as of January 1, 2018.


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As such,a result, the level of subject business ceded to Arch Re Bermuda will bewas substantially lower beginning in 2018 than in prior periods. In 2019, certain reinsurance agreements between our insurance and reinsurance subsidiaries were reinstated.
Except as described in the above paragraph, or where express reinsurance, guarantee or other financial support contractual arrangements are in place, each of Arch Capital’s subsidiaries or affiliates is solely responsible for its own liabilities and commitments (and no other Arch Capital subsidiary or affiliate is so responsible). Any reinsurance arrangements, guarantees or other financial support contractual arrangements that are in place are solely for the benefit of the Arch Capital subsidiary or affiliate involved and third parties (creditors or insureds of such entity) are not express beneficiaries of such arrangements.
Share Repurchase Program

The board of directors of Arch Capital has authorized the investment in Arch Capital’s common shares through a share repurchase program. Since the inception of the share repurchase program through December 31, 2017,2020, Arch Capital has repurchased approximately 125.2389.2 million common shares for an aggregate purchase price of $3.68$4.1 billion. At December 31, 2017, approximately $446.52020, $916.5 million of share repurchases were available under the program. Repurchases under the program may be effected from time to time in open market or privately negotiated transactions through December 31, 2019.2021. The timing and amount of the repurchase transactions under this program will depend on a variety of factors, including market conditions, andthe development of the economy, corporate and regulatory considerations. We will continue to monitor our share price and, depending upon results of operations, market conditions and the development of the economy, as well as other factors, we will consider share repurchases on an opportunistic basis.
See note 27, “Subsequent Events”.


GUARANTOR INFORMATION
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The below table provides a description of our senior notes payable at December 31, 2020, excluding amounts attributable to the ‘other’ segment (i.e., Watford):
InterestPrincipalCarrying
Issuer/Due(Fixed)AmountAmount
Arch Capital:
May 1, 20347.350 %$300,000 $297,367 
June 30, 20503.635 %1,000,000988,500
Arch-U.S.:
Nov. 1, 2043 (1)5.144 %500,000494,944
Arch Finance:
Dec. 15, 2026 (1)4.011 %500,000497,211
Dec. 15, 2046 (1)5.031 %450,000445,402
Total$2,750,000 $2,723,424 
(1) Fully and unconditionally guaranteed by Arch Capital.
Our senior notes were issued by Arch Capital, Arch Capital Group (U.S.) Inc. (“Arch-U.S.”) and Arch Capital Finance LLC (“Arch Finance”). Arch-U.S. is a wholly-owned subsidiary of Arch Capital and Arch Finance is a wholly-owned finance subsidiary of Arch-U.S. Our 2034 senior notes and 2050 senior notes issued by Arch Capital are unsecured and unsubordinated obligations of Arch Capital and ranked equally with all of its existing and future unsecured and unsubordinated indebtedness. The 2043 senior notes issued by Arch-U.S. are unsecured and unsubordinated obligations of Arch-U.S. and Arch Capital and rank equally and ratably with the other unsecured and unsubordinated indebtedness of Arch-U.S. and Arch Capital. The 2026 senior notes and 2046 senior notes issued by Arch Finance are unsecured and unsubordinated obligations of Arch Finance and Arch Capital and rank equally and ratably with the other unsecured and unsubordinated indebtedness of Arch Finance and Arch Capital.
Arch Capital and Arch-U.S. are each holding companies and, accordingly, they conduct substantially all of their operations through their operating subsidiaries. Arch Finance is a wholly owned subsidiary of Arch U.S. MI Holdings Inc., a U.S. holding company. As a result, Arch Capital, Arch-U.S. and Arch Finance's cash flows and their ability to service their debt depends upon the earnings of their operating subsidiaries and on their ability to distribute the earnings, loans or other payments from such subsidiaries to Arch Capital, Arch-U.S. and Arch Finance, respectively.
See note 19, “Debt and Financing Arrangements,” to our consolidated financial statements in Item 8 for additional disclosures concerning our senior notes and revolving credit agreement borrowings. For additional information on our preferred shares, see note 21, “Shareholders’ Equity,” to our consolidated financial statements in Item 8.


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During 2020 and 2019, we made interest payments of $110.5 million and $98.7 million respectively, related to our senior notes and other financing arrangements.
The following tables present condensed financial information for Arch Capital (parent guarantor) and Arch-U.S. (subsidiary issuer):
December 31, 2020December 31, 2019
Arch CapitalArch-U.S.Arch CapitalArch-U.S.
Assets
Total investments$172 $396,547 $42 $692,606 
Cash18,932 11,368 18,113 54,518 
Investments in subsidiaries14,377,529 5,205,904 11,786,861 4,347,806 
Due from subsidiaries and affiliates— 201,515 17 200,635 
Other assets18,390 34,405 20,461 32,187 
Total assets$14,415,023 $5,849,739 $11,825,494 $5,327,752 
Liabilities
Senior notes1,285,867 494,944 297,254 494,831 
Due to subsidiaries and affiliates— 586,805 — 536,805 
Other liabilities23,270 41,876 30,869 33,267 
Total liabilities1,309,137 1,123,625 328,123 1,064,903 
Shareholders' Equity
Total shareholders' equity available to Arch13,105,886 4,726,114 11,497,371 4,262,849 
Total shareholders' equity13,105,886 4,726,114 11,497,371 4,262,849 
Total liabilities and shareholders' equity$14,415,023 $5,849,739 $11,825,494 $5,327,752 
Year EndedYear Ended
December 31, 2020December 31, 2019
Arch CapitalArch-U.S.Arch CapitalArch-U.S.
Revenues
Net investment income$53 $18,084 $212 $14,270 
Net realized gains (losses)(2,110)26,096 — 25,313 
Equity in net income (loss) of investments accounted for using the equity method— 2,507 — 779 
Other income (loss)(437)— (762)— 
Total revenues(2,494)46,687 (550)40,362 
Expenses
Corporate expenses65,566 7,227 62,701 7,221 
Interest expense40,445 47,566 22,154 47,951 
Net foreign exchange (gains) losses— — 
Total expenses106,014 54,793 84,856 55,172 
Income (loss) before income taxes(108,508)(8,106)(85,406)(14,810)
Income tax (expense) benefit— 2,689 — 3,696 
Income (loss) before equity in net income of subsidiaries(108,508)(5,417)(85,406)(11,114)
Equity in net income of subsidiaries1,514,029 330,589 1,721,725 564,657 
Net income available to Arch1,405,521 325,172 1,636,319 553,543 
Preferred dividends(41,612)— (41,612)— 
Net income available to Arch common shareholders$1,363,909 $325,172 $1,594,707 $553,543 

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CONTRACTUAL OBLIGATIONS AND COMMITMENTS
This section does not include information specific to Watford Re.Watford. We do not guarantee or provide credit support for Watford, Re, and our financial exposure to Watford Re is limited to our investment in Watford Re’sWatford’s senior notes, common and preferred shares and counterparty credit risk (mitigated by collateral) arising from reinsurance transactions with Watford Re.Watford.
Contractual Obligations
The following table provides an analysis of our contractual commitments at December 31, 2017:
2020:
Payment due by period
Total20212022 and 20232024 and 2025Thereafter
Operating activities
Estimated gross payments for losses and loss adjustment expenses (1)$14,994,345 $4,068,858 $4,785,334 $2,322,283 $3,817,870 
Deposit accounting liabilities (2)10,570 5,390 1,116 385 3,679 
Contractholder payables (3)1,995,562 634,430 685,990 277,803 397,339 
Operating lease obligations152,309 32,309 56,185 32,497 31,318 
Purchase obligations72,995 33,437 30,502 8,204 852 
Investing activities
Unfunded investment commitments (4)2,146,521 2,146,521 — — — 
Financing activities
Securities lending payable (5)301,089 301,089 — — — 
Senior notes (including interest payments)5,417,148 126,815 253,629 253,629 4,783,075 
Financing lease obligations2,016 2,016 — — — 
Total contractual obligations and commitments$25,092,555 $7,350,865 $5,812,756 $2,894,801 $9,034,133 
 Payment due by period
 Total 2018 2019 and 2020 2021 and 2022 Thereafter
Operating activities         
Estimated gross payments for losses and loss adjustment expenses (1)$10,585,530
 $2,763,000
 $3,153,090
 $1,661,268
 $3,008,172
Deposit accounting liabilities (2)22,319
 3,089
 2,989
 783
 15,458
Contractholder payables (3)1,978,414
 644,823
 695,979
 276,162
 361,450
Operating lease obligations167,995
 28,230
 55,638
 46,665
 37,462
Purchase obligations29,721
 19,665
 8,328
 1,728
 
Contingent consideration liabilities (4)68,215
 
 68,215
 
 
Investing activities
        
Unfunded investment commitments (5)1,699,994
 1,699,994
 
 
 
Financing activities         
Securities lending payable (6)476,605
 476,605
 
 
 
Senior notes (including interest payments)3,617,618
 90,465
 180,929
 180,929
 3,165,295
Capital lease obligations15,552
 9,655
 5,765
 132
 
Revolving credit agreement borrowings (7)375,000
 375,000
 
 
 
Total contractual obligations and commitments$19,036,963
 $6,110,526
 $4,170,933
 $2,167,667
 $6,587,837
(1)
The estimated expected contractual commitments related to the reserves for losses and loss adjustment expenses are presented on a gross basis (i.e., not reflecting any corresponding reinsurance recoverable amounts that would be due to us). It should be noted that until a claim has been presented to us, determined to be valid, quantified and settled, there is no known obligation on an individual transaction basis, and while estimable in the aggregate, the timing and amount contain significant uncertainty. Approximately 62% of our reserves for losses and loss adjustment expenses were incurred but not reported at December 31, 2017.
(2)The estimated expected contractual commitments related to deposit accounting liabilities have been estimated using projected cash flows from the underlying contracts. It should be noted that, due to the nature of such liabilities, the timing and amount contain significant uncertainty.
(3)Certain insurance policies written by our insurance operations feature large deductibles, primarily in construction and national accounts lines. Under such contracts, we are obligated to pay the claimant for the full amount of the claim and are subsequently reimbursed by the policyholder for the deductible amount. In the event we are unable to collect from the policyholder, we would be liable for such defaulted amounts.
(4)Pursuant to our 2014 acquisition of the CMG Entities, we are required to make remaining contingent consideration payments as re-calculated over an earn-out period. For purposes of this table, the maximum exposure has been shown using an estimated payout pattern.
(5)Unfunded investment commitments are callable by our investment managers. We have assumed that such investments will be funded in the next year but the funding may occur over a longer period of time, due to market conditions and other factors.
(6)As part of our securities lending program, we loan securities to third parties and receive collateral in the form of cash or securities. Such collateral is due back to the third parties at the close of the securities lending transactions, a majority of which is overnight and continuous by nature.
(7)Amounts outstanding under credit facilities represent borrowings by Arch U.S. MI Holdings Inc., a wholly owned subsidiary of Arch Capital. Due to the variable nature of the interest payments on these borrowings and the ability to repay such borrowings at will, no interest payments have been reflected.

(1)The estimated expected contractual commitments related to the reserves for losses and loss adjustment expenses are presented on a gross basis (i.e., not reflecting any corresponding reinsurance recoverable amounts that would be due to us). It should be noted that until a claim has been presented to us, determined to be valid, quantified and settled, there is no known obligation on an individual transaction basis, and while estimable in the aggregate, the timing and amount contain significant uncertainty.

(2)The estimated expected contractual commitments related to deposit accounting liabilities have been estimated using projected cash flows from the underlying contracts. It should be noted that, due to the nature of such liabilities, the timing and amount contain significant uncertainty.

(3)Certain insurance policies written by our insurance operations feature large deductibles, primarily in construction and national accounts lines. Under such contracts, we are obligated to pay the claimant for the full amount of the claim and are subsequently reimbursed by the policyholder for the deductible amount. In the event we are unable to collect from the policyholder, we would be liable for such defaulted amounts.
(4)Unfunded investment commitments are callable by our investment managers. We have assumed that such investments will be funded in the next year but the funding may occur over a longer period of time, due to market conditions and other factors.
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(5)As part of our securities lending program, we loan securities to third parties and receive collateral in the form of cash or securities. Such collateral is due back to the third parties at the close of the securities lending transactions, a majority of which is overnight and continuous by nature.


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Letter of Credit and Revolving Credit Facilities
AsIn the normal course of its operations, the Company enters into agreements with financial institutions to obtain secured and unsecured credit facilities.
On December 31, 2017,17, 2019 Arch Capital and certain of its subsidiaries hadentered into an $750.0 million five-year credit facility (the “Credit Facility”) with a $350.0syndication of lenders. The Credit Facility consists of a $250.0 million secured facility for letters of credit (the “Secured Facility”) and a $500.0 million unsecured facility for revolving loans and letters of credit (the “Credit Agreement”“Unsecured Facility”). Obligations of each borrower under the secured facilitySecured Facility for letters of credit are secured by cash and eligible securities of such borrower held in collateral accounts. Subject toCommitments under the receipt of commitments, the secured facilityCredit Facility may be increased by up to, but not exceeding, an aggregate of $350.0 million, and the unsecured facility may be increased to an amount not to exceed $750.0 million.$1.3 billion. Arch Capital has a one-time option
to convert any or all outstanding revolving loans of Arch Capital and/or Arch-U.S. to term loans with the same terms as the revolving loans except that any prepayments may not be reborrowed.re-borrowed. Arch-U.S. guarantees the obligations of Arch Capital, and Arch Capital guarantees the obligations of Arch-U.S. Borrowings of revolving loans may be made at a variable rate based on LIBOR or an alternative base rate at the option of Arch Capital. Arch Capital and its lenders may agree on a LIBOR successor rate at the appropriate time to address the replacement of LIBOR. Secured letters of credit are available for issuance on behalf of Arch Capital insurance and reinsurance subsidiaries. The Credit Agreement and related documents areFacility is structured such that each party that requests a letter of credit or borrowing does so only for itself and for only its own obligations.
The Credit AgreementFacility contains certain restrictive covenants customary representations, conditions to issuancefor facilities of lettersthis type, including restrictions on

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Table of credit and borrowings which include, among other things: (i) the maintenance of a debt to total capital ratio of not greater than 0.35 to 1; (ii)Contents
indebtedness, consolidated tangible net worth, in excess of $5.63 billion plus 25% of future aggregate net income (not including any future net losses) for each quarterly period ending after December 31, 2016 plus 25% of future aggregate net cash proceeds from the issuance of common or preferred equity (other than the proceeds of which are used to fund the repurchase or redemption of our preferred securities (“Refinanced Preferred Securities”)), minus 70% of up to $750.0 million of the aggregate book value of any preferred securities of Arch Capital which are repurchased or redeemed by Arch Capital or its subsidiaries (other than Refinanced Preferred Securities); and (iii) that Arch Capital’s principal insurance and reinsurance subsidiaries that are borrowers under the Credit Agreement maintain a financial strength rating of at least a “B++” from A.M. Best or “BBB+” from S&P. In addition, certain of Arch Capital’s subsidiaries which are party to the Credit Agreement are required to maintain minimum shareholders’ equity levels. Commitments under the Amended Credit Agreement will expire on October 26, 2021,levels and all loans then outstanding under the Amended Credit Agreement must be repaid. Letters of credit issued under the Amended Credit Agreement will not have an expiration date later than October 26, 2022.minimum financial strength ratings. Arch Capital and its subsidiaries which are party to the Credit Agreementagreement were in compliance with all covenants contained in the Credit Agreementtherein at December 31, 2017.
2020.
See note 19, “Debt and Financing Arrangements,” to our consolidated financial statements in Item 8 for additional disclosures concerning our senior notes and revolving credit agreement borrowings.
In addition, certain of Arch Capital’s subsidiaries had outstanding letters of credit of $160.1 million, which were issued on a limited basis and for limited purposes (together with the secured portion of the Credit Agreement and these letter of credit facilities, the “LOC Facilities”). The principal purpose of the LOC Facilities is to issue, as required, evergreen standby letters of credit in favor of primary insurance or reinsurance counterparties with which we have entered into reinsurance arrangements to ensure that such counterparties are permitted to take credit for reinsurance obtained from our reinsurance subsidiaries in United States jurisdictions where such subsidiaries are not licensed or otherwise admitted as an insurer, as required under insurance regulations in the United States, and to comply with requirements of Lloyd’s of London in connection with qualifying quota share and other arrangements. The amount of letters of credit issued is driven by, among other things, the timing and payment of catastrophe losses, loss development of existing reserves, the payment pattern of such reserves, the further expansion of our business and the loss experience of such business. When issued, these letters of credit are secured by a portion of our investment portfolio. In addition, the LOC Facilities also require the maintenance of certain covenants, which we were in compliance with at December 31, 2017. At such date, we had approximately $324.4 million in outstanding letters of credit under the LOC Facilities, which were secured by investments with a fair value of $388.0 million, and had $375.0 million of borrowings outstanding under the Credit Agreement. Under the $350.0 million secured letter of credit facility, we had $164.3 million of letters of credit outstanding and remaining capacity of $185.7 million at December 31, 2017.


RATINGS
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RATINGS
Our ability to underwrite business is affected by the quality of our claims paying ability and financial strength ratings as evaluated by independent agencies. Such ratings from third party internationally recognized statistical rating organizations or agencies are instrumental in establishing the financial security of companies in our industry. We believe that the primary users of such ratings include commercial and investment banks, policyholders, brokers, ceding companies and investors. Insurance ratings are also used by insurance and reinsurance intermediaries as an important means of assessing the financial strength and quality of insurers and reinsurers, and are often an important factor in the decision by an insured or intermediary of whether to place business with a particular insurance or reinsurance provider. Periodically, rating agencies evaluate us to confirm that we continue to meet their criteria for the ratings assigned to us by them. S&P, Moody’s, A.M. Best Company and Fitch Ratings are ratings agencies which have assigned financial strength ratings to one or more of Arch Capital’s subsidiaries.
If we are not able to obtain adequate capital, our business, results of operations and financial condition could be adversely affected, which could include, among other things, the following possible outcomes: (1) potential downgrades in the financial strength ratings assigned by ratings agencies to our operating subsidiaries, which could place those operating subsidiaries at a competitive disadvantage compared to higher-rated competitors; (2) reductions in the amount of business that our operating subsidiaries are able to write in order to meet capital adequacy-based tests enforced by statutory agencies; and (3) any resultant ratings downgrades could, among other things, affect our ability to write business and increase the cost of bank credit and letters of credit. In addition, under certain of the reinsurance agreements assumed by our reinsurance operations, upon the occurrence of a ratings downgrade or other specified triggering event with respect to our reinsurance operations, such as a reduction in surplus by specified amounts during specified periods, our ceding company clients may be provided with certain rights, including, among other things, the right to terminate the subject reinsurance agreement and/or to require that our reinsurance operations post additional collateral.
The ratings issued on our companies by these agencies are announced publicly and are available directly from the agencies. Our Internet site (www.ir.archcapgroup.comwww.archcapgroup.com, under Credit Ratings) contains information about our ratings, but such information on our website is not incorporated by reference into this report.
CATASTROPHIC EVENTS AND SEVERE ECONOMIC EVENTS
We have large aggregate exposures to natural and man-made catastrophic events, pandemic events like COVID-19 and severe economic events. CatastrophesNatural catastrophes can be caused by various events, including hurricanes, floods, windstorms, earthquakes, hailstorms, tornadoes, explosions, severe winter weather, fires, droughts and other natural disasters. Catastrophes can also cause losses in non-property business such as mortgage insurance, workers’ compensation or general liability. In addition to the nature of property business, we believe that economic and geographic trends affecting insured property, including inflation, property value appreciation and geographic concentration, tend to generally increase the size of losses from catastrophic events over time.
We have substantial exposure to unexpected, large losses resulting from future man-made catastrophic events, such as acts of war, acts of terrorism and political instability. These risks are inherently unpredictable. It is difficult to predict the timing of such events with statistical certainty or estimate the amount of loss any given occurrence will generate. It is not possible to completely eliminate our exposure to unforecasted or unpredictable events and, to the extent that losses from such risks occur, our financial condition and results of operations could be materially adversely affected. Therefore, claims for natural and man-made catastrophic events could expose us to large losses and cause substantial volatility in our results of operations, which could cause the value of our common shares to fluctuate widely. In certain instances, we specifically insure and reinsure risks resulting from terrorism. Even in cases where we attempt to exclude losses from terrorism and certain other similar risks from some coverages written by us, we may not be successful in doing so. Moreover, irrespective of the clarity and inclusiveness of policy language, there can be no assurance that a court or arbitration panel will limit enforceability of policy language or otherwise issue a ruling adverse to us.
We seek to limit our loss exposure by writing a number of our reinsurance contracts on an excess of loss basis, adhering to maximum limitations on reinsurance written in defined geographical zones, limiting program size for each client and prudent underwriting of each program written. In the case of proportional treaties, we may seek per occurrence limitations or loss ratio caps to limit the impact of losses from any one or series of events. In our insurance operations, we seek to limit

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our exposure through the purchase of reinsurance. We cannot be certain that any of these loss limitation methods will be effective. We also seek to limit our loss exposure by geographic diversification. Geographic zone limitations involve significant underwriting judgments, including the determination of the area of the zones and the inclusion of a particular policy within a particular zone's limits. There can be no assurance that various provisions of our policies, such as limitations or exclusions from coverage or choice of forum, will be enforceable in the


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manner we intend. Disputes relating to coverage and choice of legal forum may also arise. Underwriting is inherently a matter of judgment, involving important assumptions about matters that are inherently unpredictable and beyond our control, and for which historical experience and probability analysis may not provide sufficient guidance. One or more catastrophic or other events could result in claims that substantially exceed our expectations, which could have a material adverse effect on our financial condition or our results of operations, possibly to the extent of eliminating our shareholders' equity.
For our natural catastrophe exposed business, we seek to limit the amount of exposure we will assume from any one insured or reinsured and the amount of the exposure to catastrophe losses from a single event in any geographic zone. We monitor our exposure to catastrophic events, including earthquake and wind and periodically reevaluate the estimated probable maximum pre-tax loss for such exposures. Our estimated probable maximum pre-tax loss is determined through the use of modeling techniques, but such estimate does not represent our total potential loss for such exposures.
Our models employ both proprietary and vendor-based systems and include cross-line correlations for property, marine, offshore energy, aviation, workers compensation and personal accident. We seek to limit the probable maximum pre-tax loss to a specific level for severe catastrophic events. Currently, we seek to limit our 1-in-250 year return period net probable maximum loss from a severe catastrophic event in any geographic zone to approximately 25% of totaltangible shareholders’ equity available to Arch.Arch (total shareholders’ equity available to Arch less goodwill and intangible assets). We reserve the right to change this threshold at any time.
Based on in-force exposure estimated as of January 1, 2018,2021, our modeled peak zone catastrophe exposure is a windstorm affecting the Northeastern U.S.,Florida Tri-County, with a net probable maximum pre-tax loss of $496$860 million, followed by windstorms affecting Northeastern U.S. and the Gulf of Mexico and Florida Tri-County with net probable maximum pre-tax losses of $478$775 million and $406$689 million, respectively. Our exposures to other perils, such as U.S. earthquake and international events, were less than the exposures arising from U.S. windstorms and hurricanes in both periods. As of January 1, 2018,2021, our modeled peak zone earthquake exposure (San Francisco area
earthquake) represented approximately 67%65% of our peak zone catastrophe exposure, and our modeled peak zone international exposure (Japan earthquake)(U.K. windstorm) was substantially less than both our peak zone windstorm and earthquake exposures.
We also have significant exposure to losses due to mortgage defaults resulting from severe economic events in the future. For our U.S. mortgage insurance business, we have developed a proprietary risk model (“Realistic Disaster Scenario” or “RDS”) that simulates the maximum loss resulting from a severe economic downturn impacting the housing market. The RDS models the collective impact of adverse conditions for key
economic indicators, the most significant of which is a decline in home prices. The RDS model projects paths of future home prices, unemployment rates, income levels and interest rates and assumes correlation across states and geographic regions. The resulting future performance of our in-force portfolio is then estimated under the economic stress scenario, reflecting loan and borrower information. 
Currently, we seek to limit our modeled RDS loss from a severe economic event to approximately 25% of total tangible shareholders’ equity available to Arch (total shareholders’ equity available to Arch less goodwill and intangible assets).Arch. We reserve the right to change this threshold at any time. Based on in-force exposure estimated as of January 1, 2018,2021, our modeled RDS loss was less than 17%6% of tangible shareholders’ equity available to Arch.
Net probable maximum loss estimates are net of expected reinsurance recoveries, before income tax and before excess reinsurance reinstatement premiums. RDS loss estimates are net of expected reinsurance recoveries and afterbefore income tax. Catastrophe loss estimates are reflective of the zone indicated and not the entire portfolio. Since hurricanes and windstorms can affect more than one zone and make multiple landfalls, our catastrophe loss estimates include clash estimates from other zones. Our catastrophe loss estimates and RDS loss estimates do not represent our maximum exposures and it is highly likely that our actual incurred losses would vary materially from the modeled estimates. There can be no assurances that we will not suffer pre-tax losses greater than 25% of our total shareholders' equity or tangible shareholders’ equity from one or more catastrophic events or severe economic events due to several factors, including the inherent uncertainties in estimating the frequency and severity of such events and the margin of error in making such determinations resulting from potential inaccuracies and inadequacies in the data provided by clients and brokers, the modeling techniques and the application of such techniques or as a result of a decision to change the percentage of shareholders' equity exposed to a single catastrophic event or severe economic event. In addition, actual losses may increase if our reinsurers fail to meet their obligations to us or the reinsurance protections purchased by us are exhausted or are otherwise unavailable. See “Risk Risk

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Factors—Risks Relating to Our Industry. Industry, Business and Operations Depending on business opportunities and the mix of business that may comprise our insurance, reinsurance and mortgage portfolios, we may seek to adjust our self-imposed limitations on probable maximum pre-tax loss for catastrophe exposed business and mortgage default exposed business. See “—“—Critical Accounting Policies, Estimates and Recent Accounting Pronouncements—Ceded Reinsurance” for a discussion of our catastrophe reinsurance programs.


OFF-BALANCE SHEET ARRANGEMENTS
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OFF-BALANCE SHEET ARRANGEMENTS
Bellemeade Re I Ltd., Bellemeade Re II Ltd. and Bellemeade 2017-1 Ltd.loss reinsurance agreements with various special purpose reinsurance companies domiciled in Bermuda. These are special purpose variable interest entities that are not consolidated in our financial results because we do not have the unilateral power to direct those activities that are significant to its economic performance. As of December 31, 2017,2020, our estimated off-balance sheet maximum exposure to loss from such entities was $3.2$56.3 million. See note 4,12, “Variable Interest Entities—Bellemeade Re,Entity and Noncontrolling Interests, to our consolidated financial statements in Item 8 for additional information.
MARKET SENSITIVE INSTRUMENTS AND RISK MANAGEMENT
Our investment results are subject to a variety of risks, including risks related to changes in the business, financial condition or results of operations of the entities in which we invest, as well as changes in general economic conditions and overall market conditions. We are also exposed to potential loss from various market risks, including changes in equity prices, interest rates and foreign currency exchange rates.
In accordance with the SEC’s Financial Reporting Release No. 48, we performed a sensitivity analysis to determine the effects that market risk exposures could have on the future earnings, fair values or cash flows of our financial instruments as of December 31, 2017.2020. Market risk represents the risk of changes in the fair value of a financial instrument and consists of several components, including liquidity, basis and price risks.
The sensitivity analysis performed as of December 31, 20172020 presents hypothetical losses in cash flows, earnings and fair values of market sensitive instruments which were held by us on December 31, 20172020 and are sensitive to changes in interest rates and equity security prices. This risk management discussion and the estimated amounts generated from the following sensitivity analysis represent forward-looking statements of market risk assuming certain adverse market conditions occur. Actual results in the future may differ materially from these projected results due to actual
developments in the global financial markets. The analysis methods used by us to assess and mitigate risk should not be considered projections of future events of losses.
We have not included Watford Re in the following analyses as we do not guarantee or provide credit support for Watford, Re, and our financial exposure to Watford Re is limited to itsour investment in Watford Re’sWatford’s senior notes, common and preferred shares and counterparty credit risk (mitigated by collateral) arising from the reinsurance transactions.
The focus of the SEC’s market risk rules is on price risk. For purposes of specific risk analysis, we employ sensitivity
analysis to determine the effects that market risk exposures could have on the future earnings, fair values or cash flows of our financial instruments. The financial instruments included in the following sensitivity analysis consist of all of our investments and cash.
Investment Market Risk
Fixed Income Securities. We invest in interest rate sensitive securities, primarily debt securities. We consider the effect of interest rate movements on the marketfair value of our fixed maturities, fixed maturities pledged under securities lending agreements, short-term investments and certain of our other investments, equity securities and investment funds accounted for using the equity method which invest in fixed income securities (collectively, “Fixed Income Securities”) and the corresponding change in unrealized appreciation. As interest rates rise, the marketfair value of our interest rate sensitive securitiesFixed Income Securities falls, and the converse is also true. Based on historical observations, there is a low probability that all interest rate yield curves would shift in the same direction at the same time. Furthermore, at times interest rate movements in certain credit sectors exhibit a much lower correlation to changes in U.S. Treasury yields. Accordingly, the actual effect of interest rate movements may differ materially from the amounts set forth in the following tables.
The following table summarizes the effect that an immediate, parallel shift in the interest rate yield curve would have had on our investment portfolio at December 31, 20172020 and 2016:2019:
(U.S. dollars in billions)Interest Rate Shift in Basis Points
-100-50-+50+100
Dec. 31, 2020
Total fair value$25.82 $25.44 $25.07 $24.69 $24.31 
Change from base3.0 %1.5 %(1.5)%(3.0)%
Change in unrealized value$0.75 $0.38 $(0.38)$(0.75)
Dec. 31, 2019
Total fair value$21.54 $21.19 $20.83 $20.48 $20.13 
Change from base3.4 %1.7 %(1.7)%(3.4)%
Change in unrealized value$0.71 $0.35 $(0.35)$(0.71)

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(U.S. dollars in billions)Interest Rate Shift in Basis Points
-100 -50 - +50 +100
Dec. 31, 2017         
Total fair value$19.11
 $18.85
 $18.59
 $18.33
 $18.09
Change from base2.8% 1.4%   (1.4)% (2.7)%
Change in unrealized value$0.52
 $0.26
   $(0.26) $(0.50)
Dec. 31, 2016         
Total fair value$17.95
 $17.62
 $17.31
 $17.00
 $16.70
Change from base3.7% 1.8%   (1.8)% (3.5)%
Change in unrealized value$0.64
 $0.31
   $(0.31) $(0.61)
In addition, we consider the effect of credit spread movements on the market value of our fixed maturities, fixed maturities pledged under securities lending agreements, short-term investments and certain of our other investments and investment funds accounted for using the equity method which invest in fixed income securitiesFixed Income Securities and the corresponding change in unrealized appreciation.value. As credit spreads widen, the fair value of our fixed income securitiesFixed Income Securities falls, and the converse is also true. In periods where the spreads on our Fixed Income Securities are much higher than their historical average due to short-term market dislocations, a parallel shift in credit spread levels would result in a much more pronounced change in unrealized value.


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The following table summarizes the effect that an immediate, parallel shift in credit spreads in a static interest rate environment would have had on the portfolio at December 31, 20172020 and 2016:2019:
(U.S. dollars in billions)Credit Spread Shift in Percentage(U.S. dollars in billions)Credit Spread Shift in Percentage
-100 -50 - +50 +100-100-50-+50+100
Dec. 31, 2017         
Dec. 31, 2020Dec. 31, 2020
Total fair value$18.96
 $18.77
 $18.59
 $18.40
 $18.22
Total fair value$25.54 $25.32 $25.07 $24.82 $24.59 
Change from base2.0% 1.0%   (1.0)% (2.0)%Change from base1.9 %1.0 %(1.0)%(1.9)%
Change in unrealized value$0.37
 $0.19
   $(0.19) $(0.37)Change in unrealized value$0.48 $0.25 $(0.25)$(0.48)
Dec. 31, 2016         
Dec. 31, 2019Dec. 31, 2019
Total fair value$17.79
 $17.55
 $17.31
 $17.07
 $16.83
Total fair value$21.19 $21.02 $20.83 $20.65 $20.48 
Change from base2.8% 1.4%   (1.4)% (2.8)%Change from base1.7 %0.9 %(0.9)%(1.7)%
Change in unrealized value$0.48
 $0.24
   $(0.24) $(0.48)Change in unrealized value$0.35 $0.19 $(0.19)$(0.35)
Another method that attempts to measure portfolio risk is Value-at-Risk (“VaR”). VaR attempts to take into account a broad cross-section of risks facing a portfolio by utilizing relevant securities volatility data skewed towards the most recent months and quarters. VaR measures the amount of a portfolio at risk for outcomes 1.65 standard deviations from the mean based onworst expected loss under normal market conditions over a one yearspecific time horizon and is expressed asinterval at a percentage of the portfolio’s initial value. In other words,given confidence level. The 1-year 95th percentile parametric VaR reported herein estimates that 95% of the time, should the risks taken into account in the VaR model perform per their historical tendencies, the portfolio’sportfolio loss in any one year period is expected toa one-year horizon would be less than or equal to the calculated VaR,number, stated as a percentage of the measured portfolio’s initial value. The VaR is a variance-covariance based estimate, based on linear sensitivities of a portfolio to a broad set of systematic market risk factors and idiosyncratic risk factors mapped to the portfolio exposures. The relationships between the risk factors are estimated using historical data, and the most recent data points are generally given more weight. As of December 31, 2017,2020, our portfolio’s VaR was estimated to be 3.10%4.30%, compared to an estimated 3.75%3.19% at December 31, 2016.2019.
Equity Securities, Privately Held Securities and Other Investments. Our investment portfolio includes an allocation to equity securities, privately held securities and certain other investments. Securities. At December 31, 20172020 and 2016,2019, the fair value of our investments in equity securities privately held(excluding securities included in Fixed Income Securities above) totaled $1.1 billion and certain other investments totaled $576.0 million and $558.0$820.6 million, respectively. These securitiesinvestments are exposed to price risk, which is the potential loss arising from decreases in fair value. An immediate hypothetical 10% depreciationdecline in the value of each position would reduce the fair value of such investments by approximately $57.6$109.5 million and $55.8$82.1 million at December 31, 20172020 and 2016,
2019, respectively, and would have decreased book value per share by approximately $0.42$0.27 and $0.41,$0.20, respectively.An immediate hypothetical 10% increase in the value of each position would increase the fair value of such investments by approximately $109.5 million and $82.1 million at December 31, 2020 and 2019, respectively, and would have increased book value per share by approximately $0.27 and $0.20, respectively.
Investment-Related Derivatives. At December 31, 2017,2020, the notional value of all derivative instruments (excluding to-be-announced mortgage backed securities which are included in the fixed income securities analysis above and foreign currency forward contracts which are included in the foreign currency exchange risk analysis below) was $2.44$8.6 billion, compared to
$2.12 $8.0 billion at December 31, 2016.2019. If the underlying exposure of each investment-related derivative held at December 31, 20172020 depreciated by 100 basis points, it would have resulted in a reduction in net income of approximately $24.4$85.7 million, and a decrease in book value per share of $0.18,$0.21, compared to $21.2$80.4 million and $0.16,$0.20, respectively, on investment-related derivatives held at December 31, 2016.2019. If the underlying exposure of each investment-related derivative held at December 31, 20172020 appreciated by 100 basis points, it would have resulted in an increase in net income of approximately $24.4$85.7 million, and an increase in book value per share of $0.18,$0.21, compared to $21.2$80.4 million and $0.16,$0.20, respectively, on investment-related derivatives held at December 31, 2016.2019. See note 11, “Derivative Instruments,” to our consolidated financial statements in Item 8 for additional disclosures concerning derivatives.
For further discussion on investment activity, please refer to “—Financial Condition, Liquidity and Capital Resources—Financial Condition—Investable Assets.”
Foreign Currency Exchange Risk
Foreign currency rate risk is the potential change in value, income and cash flow arising from adverse changes in foreign currency exchange rates. Through our subsidiaries and branches located in various foreign countries, we conduct our insurance and reinsurance operations in a variety of local currencies other than the U.S. Dollar. We generally hold investments in foreign currencies which are intended to mitigate our exposure to foreign currency fluctuations in our net insurance liabilities. We may also utilize foreign currency forward contracts and currency options as part of our investment strategy. See note 11, “Derivative Instruments,” to our consolidated financial statements in Item 8 for additional information.



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The following table provides a summary of our net foreign currency exchange exposures, as well as foreign currency derivatives in place to manage these exposures:
(U.S. dollars in thousands, except 
per share data)
December 31,
2020
December 31,
2019
Net assets (liabilities), denominated in foreign currencies, excluding shareholders’ equity and derivatives$(309,968)$265,501 
Shareholders’ equity denominated in foreign currencies (1)695,355 744,690 
Net foreign currency forward contracts outstanding (2)1,108,161 81,731 
Net exposures denominated in foreign currencies$1,493,548 $1,091,922 
Pre-tax impact of a hypothetical 10% appreciation of the U.S. Dollar against foreign currencies:  
Shareholders’ equity$(149,355)$(109,192)
Book value per share$(0.37)$(0.27)
Pre-tax impact of a hypothetical 10% decline of the U.S. Dollar against foreign currencies:  
Shareholders’ equity$149,355 $109,192 
Book value per share$0.37 $0.27 
(1)    Represents capital contributions held in the foreign currencies of our operating units.
(2)    Represents the net notional value of outstanding foreign currency forward contracts.
(U.S. dollars in thousands, except 
per share data)
December 31,
2017
 December 31,
2016
Net assets (liabilities), denominated in foreign currencies, excluding shareholders’ equity and derivatives$401,966
 $(63,077)
Shareholders’ equity denominated in foreign currencies (1)345,743
 290,752
Net foreign currency forward contracts outstanding (2)(123,732) (250,263)
Net exposures denominated in foreign currencies$623,977
 $(22,588)
    
Pre-tax impact of a hypothetical 10% appreciation of the U.S. Dollar against foreign currencies: 
  
Shareholders’ equity$(62,398) $2,259
Book value per share$(0.46) $0.02
    
Pre-tax impact of a hypothetical 10% decline of the U.S. Dollar against foreign currencies: 
  
Shareholders’ equity$62,398
 $(2,259)
Book value per share$0.46
 $(0.02)
(1)Represents capital contributions held in the foreign currencies of our operating units.
(2)Represents the net notional value of outstanding foreign currency forward contracts.
Although the Company generally attempts to match the currency of its projected liabilities with investments in the same currencies, from time to time the Company may elect to over or underweight one or more currencies, which could increase the Company’s exposure to foreign currency fluctuations and increase the volatility of the Company’s shareholders’ equity. Historical observations indicate a low probability that all foreign currency exchange rates would shift against the U.S. Dollar in the same direction and at the same time and, accordingly, the actual effect of foreign currency rate movements may differ materially from the amounts set forth above. For further discussion on foreign exchange activity, please refer to “—Results of Operations.”
Effects of Inflation
We do not believe that inflation has had a material effect on our consolidated results of operations, except insofar as inflation may affect our reserves for losses and loss adjustment expenses and interest rates. The potential exists, after a catastrophe loss, for the development of inflationary pressures in a local economy. The anticipated effects of inflation on us are considered in our catastrophe loss models. The actual effects of inflation on our results cannot be accurately known until claims are ultimately settled.

ITEM 7A.
QUANTITATIVE AND QUALITATIVE DISCLOSURES ABOUT MARKET RISK
ITEM 7A.     QUANTITATIVE AND QUALITATIVE DISCLOSURES ABOUT MARKET RISK
Reference is made to the information appearing above under the subheading “Market Sensitive Instruments and Risk Management” under the caption “Management’s Discussion and Analysis of Financial Condition and Results of Operation,” which information is hereby incorporated by reference.



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ITEM 8.     FINANCIAL STATEMENTS AND SUPPLEMENTARY DATA
Index to Financial StatementsPage No.
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ITEM 8.
FINANCIAL STATEMENTS AND SUPPLEMENTARY DATA
Index to Financial StatementsPage No.
At December 31, 20172020 and December 31, 20162019
For the years ended December 31, 2017, 20162020, 2019 and 20152018
For the years ended December 31, 2017, 20162020, 2019 and 20152018
For the years ended December 31, 2017, 20162020, 2019 and 20152018
For the years ended December 31, 2017, 20162020, 2019 and 20152018
Notes to Consolidated Financial Statements




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Report of Independent Registered Public Accounting Firm

Tothe Board of Directors and Shareholders of Arch Capital Group Ltd.:


Opinions on the Financial Statements and Internal Control over Financial Reporting


We have audited the accompanying consolidated balance sheets of Arch Capital Group Ltd. (The Company) and its subsidiaries (the “Company”) as of December 31, 20172020 and December 31, 2016, 2019,and the related consolidated statements of income, statements of comprehensive income, statements of changes in shareholders’ equity, and statements of cash flows for each of the three years in the period ended December 31, 2017,2020, including the related notes and financial statement schedules listed in the index appearing under Item 15(a)(2)(collectively (collectively referred to as the “consolidated financial statements”).We also have audited the Company's internal control over financial reporting as of December 31, 2017,2020, based on criteria established in Internal Control - Integrated Framework(2013)issued by the Committee of Sponsoring Organizations of the Treadway Commission (COSO).

In our opinion, the consolidatedfinancial statements referred to above present fairly, in all material respects, the financial position of the Company as of December 31, 20172020 and December 31, 20162019, and the results of theiritsoperations and theiritscash flows for each of the three years in the period ended December 31, 20172020,in conformity with accounting principles generally accepted in the United States of America. Also in our opinion, the Company maintained, in all material respects, effective internal control over financial reporting as of December 31, 2017,2020, based on criteria established in Internal Control - Integrated Framework(2013)issued by the COSO.

Basis for Opinions

The Company's management is responsible for these consolidated financial statements, for maintaining effective internal control over financial reporting, and for its assessment of the effectiveness of internal control over financial reporting, included in the accompanying:Management's Annual Report on Internal Control overOver Financial Reporting.Reporting appearing under Item 9A. Our responsibility is to express opinions on the Company’sconsolidatedfinancial statements and on the Company's internal control over financial reporting based on our audits. We are a public accounting firm registered with the Public Company Accounting Oversight Board (United States) ("PCAOB")(PCAOB) and are required to be independent with respect to the Company in accordance with the U.S. federal securities laws and the applicable rules and regulations of the Securities and Exchange Commission and the PCAOB.

We conducted our audits in accordance with the standards of the PCAOB. Those standards require that we plan and perform the audits to obtain reasonable assurance about whether the consolidatedfinancial statements are free of material misstatement, whether due to error or fraud, and whether effective internal control over financial reporting was maintained in all material respects.

Our audits of the consolidatedfinancial statements included performing procedures to assess the risks of material misstatement of the consolidatedfinancial statements, whether due to error or fraud, and performing procedures that respond to those risks. Such procedures included examining, on a test basis, evidence regarding the amounts and disclosures in the consolidatedfinancial statements. Our audits also included evaluating the accounting principles used and significant estimates made by management, as well as evaluating the overall presentation of the consolidatedfinancial statements. Our audit of internal control over financial reporting included obtaining an understanding of internal control over financial reporting, assessing the risk that a material weakness exists, and testing and evaluating the design and operating effectiveness of internal control based on the assessed risk. Our audits also included performing such other procedures as we considered necessary in the circumstances. We believe that our audits provide a reasonable basis for our opinions.



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Definition and Limitations of Internal Control over Financial Reporting

A company’s internal control over financial reporting is a process designed to provide reasonable assurance regarding the reliability of financial reporting and the preparation of financial statements for external purposes in accordance with generally accepted accounting principles. A company’s internal control over financial reporting includes those policies and procedures that (i) pertain to the maintenance of records that, in reasonable detail, accurately and fairly reflect the transactions and dispositions of the assets of the company; (ii) provide reasonable assurance that transactions are recorded as necessary to permit preparation of financial statements in accordance with generally accepted accounting principles, and that receipts and expenditures of the company are being made only in accordance with authorizations of management and directors of the company; and (iii) provide reasonable assurance regarding prevention or timely detection of unauthorized acquisition, use, or disposition of the company’s assets that could have a material effect on the financial statements.


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Because of its inherent limitations, internal control over financial reporting may not prevent or detect misstatements. Also, projections of any evaluation of effectiveness to future periods are subject to the risk that controls may become inadequate because of changes in conditions, or that the degree of compliance with the policies or procedures may deteriorate.

Critical Audit Matters

The critical audit matter communicated below is a matter arising from the current period audit of the consolidated financial statements that was communicated or required to be communicated to the audit committee and that (i) relates to accounts or disclosures that are material to the consolidated financial statements and (ii) involved our especially challenging, subjective, or complex judgments. The communication of critical audit matters does not alter in any way our opinion on the consolidated financial statements, taken as a whole, and we are not, by communicating the critical audit matter below, providing a separate opinion on the critical audit matter or on the accounts or disclosures to which it relates.
Valuation of Reserve for Losses and Loss Adjustment Expenses
As described in Notes 3, 5 and 6 to the consolidated financial statements, the reserve for losses and loss adjustment expenses represents estimates of future amounts required to pay losses and loss adjustment expenses for insured or reinsured events which have occurred at or before the balance sheet date. As of December 31, 2020, the Company’s total reserve for losses and loss adjustment expenses was $16.5 billion. For the insurance and reinsurance segments, management estimates ultimate losses and loss adjustment expenses using various generally accepted actuarial methods applied to known losses and other relevant information. Ultimate losses and loss adjustment expenses are generally determined by extrapolation of claim emergence and settlement patterns observed in the past that can reasonably be expected to persist into the future. Management makes a number of key assumptions in their reserving process, including estimating loss development patterns and expected loss ratios. For the mortgage segment, the lead actuarial methodology used by management is a frequency-severity method based on the inventory of pending delinquencies. The assumptions of frequency and severity reflect judgments based on historical data and experience.
The principal considerations for our determination that performing procedures relating to the valuation of the reserve for losses and loss adjustment expenses is a critical audit matter are (i) the significant judgment by management when developing their estimate, which in turn led to a high degree of auditor subjectivity and judgment in performing procedures related to the valuation of the reserve for losses and loss adjustment expenses, (ii) the significant auditor effort and judgment in evaluating audit evidence related to the aforementioned key actuarial methods and key assumptions, and (iii) the audit effort included the involvement of professionals with specialized skill and knowledge to assist in performing these procedures and evaluating the audit evidence obtained.
Addressing the matter involved performing procedures and evaluating audit evidence in connection with forming our overall opinion on the consolidated financial statements. These procedures included testing the effectiveness of controls relating to the valuation of the reserve for losses and loss adjustment expenses, including controls over the selection of key actuarial methods and development of key assumptions. These procedures also included, among others, the involvement of professionals with specialized skill and knowledge to assist in performing one or a combination of procedures, including (i) developing an independent estimate, on a test basis, of the reserve for losses and loss adjustment expenses, and comparing the independent estimate to management’s actuarially determined reserve for losses and loss adjustment expenses to evaluate the reasonableness of the reserve for losses and loss adjustment expenses and (ii) evaluating the appropriateness of the actuarial methods and reasonableness of the assumptions, related to loss development patterns, expected loss ratios, frequency, and severity used by management to determine the Company’s reserve for losses and loss adjustment expenses. Developing the independent estimate and evaluating the appropriateness of the key methods and reasonableness of the key assumptions related to loss development patterns, expected loss ratios, frequency and severity, as applicable, involved testing the completeness and accuracy of historical data provided by management.




/s/ PricewaterhouseCoopers LLP
New York, New York
February 28, 201826, 2021


We have served as the Company’s or its predecessor’s auditor since 1995.





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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED BALANCE SHEETS
(U.S. dollars in thousands, except share data)
December 31,
20202019
Assets
Investments:
Fixed maturities available for sale, at fair value (amortized cost: $18,143,305 and $16,598,808; net of allowance for credit losses: $2,397 at December 31, 2020)$18,717,825 $16,894,526 
Short-term investments available for sale, at fair value (amortized cost: $1,924,292 and $957,283; net of allowance for credit losses: $0 at December 31, 2020)1,924,922 956,546 
Collateral received under securities lending, at fair value (amortized cost: $301,089 and $388,366)301,096 388,376 
Equity securities, at fair value1,444,830 838,925 
Other investments (portion measured at fair value: $3,824,796 and $3,663,477)4,324,796 3,663,477 
Investments accounted for using the equity method2,047,889 1,660,396 
Total investments28,761,358 24,402,246 
Cash906,448 726,230 
Accrued investment income103,299 117,937 
Securities pledged under securities lending, at fair value (amortized cost: $294,493 and $378,738)294,912 379,868 
Premiums receivable (net of allowance for credit losses: $37,781 and $21,003)2,064,586 1,778,717 
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses (net of allowance for credit losses: $11,636 and $1,364)4,500,802 4,346,816 
Contractholder receivables (net of allowance for credit losses: $8,638 and $0)1,986,924 2,119,460 
Ceded unearned premiums1,234,075 1,234,683 
Deferred acquisition costs790,708 633,400 
Receivable for securities sold92,743 24,133 
Goodwill and intangible assets692,863 738,083 
Other assets1,853,579 1,383,788 
Total assets$43,282,297 $37,885,361 
Liabilities
Reserve for losses and loss adjustment expenses$16,513,929 $13,891,842 
Unearned premiums4,838,965 4,339,549 
Reinsurance balances payable683,263 667,072 
Contractholder payables1,995,562 2,119,460 
Collateral held for insured obligations215,581 206,698 
Senior notes2,861,113 1,871,626 
Revolving credit agreement borrowings155,687 484,287 
Securities lending payable301,089 388,366 
Payable for securities purchased218,779 87,579 
Other liabilities1,510,888 1,513,330 
Total liabilities29,294,856 25,569,809 
Commitments and Contingencies00
Redeemable noncontrolling interests58,548 55,404 
Shareholders’ Equity
Non-cumulative preferred shares780,000 780,000 
Common shares ($0.0011 par, shares issued: 579,000,841 and 574,617,195)643 638 
Additional paid-in capital1,977,794 1,889,683 
Retained earnings12,362,463 11,021,006 
Accumulated other comprehensive income (loss), net of deferred income tax488,895 212,091 
Common shares held in treasury, at cost (shares: 172,280,199 and 168,997,994)(2,503,909)(2,406,047)
Total shareholders' equity available to Arch13,105,886 11,497,371 
Non-redeemable noncontrolling interests823,007 762,777 
Total shareholders' equity13,928,893 12,260,148 
Total liabilities, noncontrolling interests and shareholders' equity$43,282,297 $37,885,361 
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED BALANCE SHEETS
(U.S. dollars in thousands, except share data)
 December 31,
 2017 2016
Assets   
Investments:   
Fixed maturities available for sale, at fair value (amortized cost: $13,869,460 and $13,522,671)$13,876,003
 $13,426,577
Short-term investments available for sale, at fair value (amortized cost: $1,468,955 and $611,878)1,469,042
 612,005
Collateral received under securities lending, at fair value (amortized cost: $476,605 and $762,554)476,615
 762,565
Equity securities available for sale, at fair value (cost: $416,010 and $475,085)495,804
 518,041
Other investments available for sale, at fair value (cost: $198,163 and $149,077)264,989
 167,970
Investments accounted for using the fair value option4,216,237
 3,421,220
Investments accounted for using the equity method1,041,322
 811,273
Total investments21,840,012
 19,719,651
    
Cash606,199
 842,942
Accrued investment income113,133
 124,483
Securities pledged under securities lending, at fair value (amortized cost: $463,181 and $746,409)464,917
 744,980
Premiums receivable1,135,249
 1,072,435
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses2,540,143
 2,114,138
Contractholder receivables1,978,414
 1,717,436
Ceded unearned premiums926,611
 859,567
Deferred acquisition costs535,824
 447,560
Receivable for securities sold205,536
 58,284
Goodwill and intangible assets652,611
 781,553
Other assets1,053,009
 889,080
Total assets$32,051,658
 $29,372,109
    
Liabilities   
Reserve for losses and loss adjustment expenses$11,383,792
 $10,200,960
Unearned premiums3,622,314
 3,406,870
Reinsurance balances payable323,496
 300,407
Contractholder payables1,978,414
 1,717,436
Collateral held for insured obligations240,183
 301,406
Senior notes1,732,884
 1,732,258
Revolving credit agreement borrowings816,132
 756,650
Securities lending payable476,605
 762,554
Payable for securities purchased449,186
 76,183
Other liabilities782,717
 806,260
Total liabilities21,805,723
 20,060,984
    
Commitments and Contingencies
 
Redeemable noncontrolling interests205,922
 205,553
    
Shareholders’ Equity   
Non-cumulative preferred shares872,555
 772,555
Convertible non-voting common equivalent preferred shares489,627
 1,101,304
Common shares ($0.0033 par, shares issued: 183,290,742 and 174,644,101)611
 582
Additional paid-in capital1,230,617
 531,687
Retained earnings8,562,889
 7,996,701
Accumulated other comprehensive income (loss), net of deferred income tax118,044
 (114,541)
Common shares held in treasury, at cost (shares: 52,312,803 and 51,856,584)(2,077,741) (2,034,570)
Total shareholders' equity available to Arch9,196,602
 8,253,718
Non-redeemable noncontrolling interests843,411
 851,854
Total shareholders' equity10,040,013
 9,105,572
Total liabilities, noncontrolling interests and shareholders' equity$32,051,658
 $29,372,109



See Notes to Consolidated Financial Statements


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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF INCOME
(U.S. dollars in thousands, except share data)
Year Ended December 31,
202020192018
Revenues
Net premiums earned$6,991,935 $5,786,498 $5,231,975 
Net investment income519,608 627,738 563,633 
Net realized gains (losses)823,460 363,198 (408,173)
Other underwriting income26,784 24,861 15,073 
Equity in net income of investments accounted for using the equity method146,693 123,672 45,641 
Other income (loss)16,795 2,233 2,419 
Total revenues8,525,275 6,928,200 5,450,568 
Expenses
Losses and loss adjustment expenses4,689,599 3,133,452 2,890,106 
Acquisition expenses1,004,842 840,945 805,135 
Other operating expenses875,176 800,997 677,809 
Corporate expenses81,988 80,111 78,994 
Amortization of intangible assets69,031 82,104 105,670 
Interest expense143,456 120,872 120,484 
Net foreign exchange losses (gains)83,634 20,609 (69,402)
Total expenses6,947,726 5,079,090 4,608,796 
Income before income taxes1,577,549 1,849,110 841,772 
Income taxes:
Current tax expense (benefit)197,662 144,361 85,863 
Deferred tax expense (benefit)(85,824)11,449 28,088 
Income tax expense111,838 155,810 113,951 
Net income$1,465,711 $1,693,300 $727,821 
Net (income) loss attributable to noncontrolling interests(60,190)(56,981)30,150 
Net income available to Arch1,405,521 1,636,319 757,971 
Preferred dividends(41,612)(41,612)(41,645)
Loss on redemption of preferred shares(2,710)
Net income available to Arch common shareholders$1,363,909 $1,594,707 $713,616 
Net income per common share and common share equivalent
Basic$3.38 $3.97 $1.76 
Diluted$3.32 $3.87 $1.73 
Weighted average common shares and common share equivalents outstanding
Basic403,062,179401,802,815404,347,621
Diluted410,259,455411,609,478412,906,478

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF INCOME
(U.S. dollars in thousands, except share data)
 Year Ended December 31,
 2017 2016 2015
Revenues     
Net premiums written$4,961,373
 $4,031,391
 $3,817,531
Change in unearned premiums(116,841) (146,569) (83,626)
Net premiums earned4,844,532
 3,884,822
 3,733,905
Net investment income470,872
 366,742
 348,090
Net realized gains (losses)149,141
 137,586
 (185,842)
Other-than-temporary impairment losses(7,138) (30,794) (26,152)
Less investment impairments recognized in other comprehensive income, before taxes
 352
 6,036
Net impairment losses recognized in earnings(7,138) (30,442) (20,116)
      
Other underwriting income30,253
 57,173
 35,497
Equity in net income of investment funds accounted for using the equity method142,286
 48,475
 25,455
Other income (loss)(2,571) (800) (399)
Total revenues5,627,375
 4,463,556
 3,936,590
      
Expenses     
Losses and loss adjustment expenses2,967,446
 2,185,599
 2,050,903
Acquisition expenses775,458
 667,625
 662,778
Other operating expenses684,451
 624,090
 603,288
Corporate expenses83,752
 81,746
 49,745
Amortization of intangible assets125,778
 19,343
 22,926
Interest expense117,431
 66,252
 45,874
Net foreign exchange losses (gains)115,782
 (36,651) (66,118)
Total expenses4,870,098
 3,608,004
 3,369,396
      
Income before income taxes757,277
 855,552
 567,194
      
Income taxes:     
Current tax (benefit) expense(45,736) 50,745
 44,194
Deferred tax expense (benefit)173,304
 (19,371) (3,582)
Income tax expense127,568
 31,374
 40,612
      
Net income$629,709
 $824,178
 $526,582
Net (income) loss attributable to noncontrolling interests(10,431) (131,440) 11,156
Net income available to Arch619,278
 692,738
 537,738
Preferred dividends(46,041) (28,070) (21,938)
Loss on redemption of preferred shares(6,735) 
 
Net income available to Arch common shareholders$566,502
 $664,668
 $515,800
      
Net income per common share and common share equivalent     
Basic$4.21
 $5.50
 $4.24
Diluted$4.07
 $5.33
 $4.09
      
Weighted average common shares and common share equivalents outstanding     
Basic134,712,788
 120,792,114
 121,786,127
Diluted139,261,675
 124,717,493
 126,038,743

See Notes to Consolidated Financial Statements


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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF COMPREHENSIVE INCOME
(U.S. dollars in thousands)
Year Ended December 31,
202020192018
Comprehensive Income
Net income$1,465,711 $1,693,300 $727,821 
Other comprehensive income (loss), net of deferred income tax
Unrealized appreciation (decline) in value of available-for-sale investments:
Unrealized holding gains (losses) arising during year678,717 500,771 (270,057)
Reclassification of net realized (gains) losses, included in net income(426,187)(118,941)144,573 
Foreign currency translation adjustments33,336 18,110 (24,830)
Comprehensive income1,751,577 2,093,240 577,507 
Net (income) loss attributable to noncontrolling interests(60,190)(56,981)30,150 
Other comprehensive (income) loss attributable to noncontrolling interests(9,062)(9,130)3,346 
Comprehensive income available to Arch$1,682,325 $2,027,129 $611,003 

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF COMPREHENSIVE INCOME
(U.S. dollars in thousands)
 Year Ended December 31,
 2017 2016 2015
Comprehensive Income     
Net income$629,709
 $824,178
 $526,582
Other comprehensive income (loss), net of deferred income tax     
Unrealized appreciation (decline) in value of available-for-sale investments:     
Unrealized holding gains (losses) arising during year252,904
 (21,013) (77,244)
Portion of other-than-temporary impairment losses recognized in other comprehensive income, net of deferred income tax
 (352) (6,036)
Reclassification of net realized gains, net of income taxes, included in net income(67,863) (56,361) (28,233)
Foreign currency translation adjustments47,014
 (20,381) (34,111)
Comprehensive income861,764
 726,071
 380,958
Net (income) loss attributable to noncontrolling interests(10,431) (131,440) 11,156
Foreign currency translation adjustments attributable to noncontrolling interests530
 68
 265
Comprehensive income available to Arch$851,863
 $594,699
 $392,379






See Notes to Consolidated Financial Statements


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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF CHANGES IN SHAREHOLDERS' EQUITY
(U.S. dollars in thousands)
Year Ended December 31,
202020192018
Non-cumulative preferred shares
Balance at beginning of year$780,000 $780,000 $872,555 
Preferred shares issued
Preferred shares redeemed(92,555)
Balance at end of year780,000 780,000 780,000 
Convertible non-voting common equivalent preferred shares
Balance at beginning of year489,627 
Preferred shares converted to common shares(489,627)
Balance at end of year
Common shares
Balance at beginning of year638 634 611 
Common shares issued, net23 
Balance at end of year643 638 634 
Additional paid-in capital
Balance at beginning of year1,889,683 1,793,781 1,230,617 
Preferred shares converted to common shares489,608 
Amortization of share-based compensation70,535 64,152 55,920 
Other changes17,576 31,750 17,636 
Balance at end of year1,977,794 1,889,683 1,793,781 
Retained earnings
Balance at beginning of year11,021,006 9,426,299 8,562,889 
Cumulative effect of an accounting change(22,452)149,794 
Balance at beginning of year, as adjusted10,998,554 9,426,299 8,712,683 
Net income1,465,711 1,693,300 727,821 
Net (income) loss attributable to noncontrolling interests(60,190)(56,981)30,150 
Preferred share dividends(41,612)(41,612)(41,645)
Loss on redemption of preferred shares(2,710)
Balance at end of year12,362,463 11,021,006 9,426,299 
Accumulated other comprehensive income (loss)
Balance at beginning of year212,091 (178,720)118,044 
Unrealized appreciation (decline) in value of available-for-sale investments, net of deferred income tax:
Balance at beginning of year258,486 (114,178)157,400 
Cumulative effect of an accounting change(149,794)
Balance at beginning of year, as adjusted258,486 (114,178)7,606 
Unrealized holding gains (losses) during period, net of reclassification adjustment252,530 381,830 (125,484)
Unrealized holding gains (losses) during period attributable to noncontrolling interests(9,721)(9,166)3,700 
Balance at end of year501,295 258,486 (114,178)
Foreign currency translation adjustments, net of deferred income tax:
Balance at beginning of year(46,395)(64,542)(39,356)
Foreign currency translation adjustments33,336 18,110 (24,830)
Foreign currency translation adjustments attributable to noncontrolling interests659 37 (356)
Balance at end of year(12,400)(46,395)(64,542)
Balance at end of year488,895 212,091 (178,720)
Common shares held in treasury, at cost
Balance at beginning of year(2,406,047)(2,382,167)(2,077,741)
Shares repurchased for treasury(97,862)(23,880)(304,426)
Balance at end of year(2,503,909)(2,406,047)(2,382,167)
Total shareholders’ equity available to Arch13,105,886 11,497,371 9,439,827 
Non-redeemable noncontrolling interests823,007 762,777 791,560 
Total shareholders’ equity$13,928,893 $12,260,148 $10,231,387 

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF CHANGES IN SHAREHOLDERS' EQUITY
(U.S. dollars in thousands)
 Year Ended December 31,
 2017 2016 2015
Non-cumulative preferred shares     
Balance at beginning of year$772,555
 $325,000
 $325,000
Preferred shares issued330,000
 450,000
 
Preferred shares redeemed(230,000) (2,445) 
Balance at end of year872,555
 772,555
 325,000
      
Convertible non-voting common equivalent preferred shares     
Balance at beginning of year1,101,304
 
 
Series D preferred shares issued
 1,101,304
 
Preferred shares converted to common shares(611,677) 
 
Balance at end of year489,627
 1,101,304
 
      
Common shares     
Balance at beginning of year582
 577
 572
Common shares issued, net29
 5
 5
Balance at end of year611
 582
 577
      
Additional paid-in capital     
Balance at beginning of year531,687
 467,339
 383,073
Common shares issued, net18,732
 11,919
 10,576
Issue costs on preferred shares issued(10,306) (15,101) 
Reversal of issue costs on preferred shares redeemed6,735
 
 
Preferred shares converted to common shares611,653
 
 
Exercise of stock options4,432
 9,448
 15,926
Amortization of share-based compensation67,856
 56,581
 56,096
Other(172) 1,501
 1,668
Balance at end of year1,230,617
 531,687
 467,339
      
Retained earnings     
Balance at beginning of year7,996,701
 7,332,032
 6,816,232
Cumulative effect of an accounting change(314) 
 
Balance at beginning of year, as adjusted7,996,387
 7,332,032
 6,816,232
Net income629,709
 824,178
 526,582
Net (income) loss attributable to noncontrolling interests(10,431) (131,439) 11,156
Preferred share dividends(46,041) (28,070) (21,938)
Loss on redemption of preferred shares(6,735) 
 
Balance at end of year8,562,889
 7,996,701
 7,332,032
      
Accumulated other comprehensive income (loss)     
Balance at beginning of year(114,541) (16,502) 128,856
Unrealized appreciation (decline) in value of available-for-sale investments, net of deferred income tax:     
Balance at beginning of year(27,641) 50,085
 161,598
Unrealized holding gains (losses) arising during period, net of reclassification adjustment185,041
 (77,374) (105,477)
Portion of other-than-temporary impairment losses recognized in other comprehensive income, net of deferred income tax
 (352) (6,036)
Balance at end of year157,400
 (27,641) 50,085
Foreign currency translation adjustments, net of deferred income tax:     
Balance at beginning of year(86,900) (66,587) (32,742)
Foreign currency translation adjustments47,014
 (20,381) (34,111)
Foreign currency translation adjustments attributable to noncontrolling interests530
 68
 266
Balance at end of year(39,356) (86,900) (66,587)
Balance at end of year118,044
 (114,541) (16,502)
      
Common shares held in treasury, at cost     
Balance at beginning of year(2,034,570) (1,941,904) (1,562,019)
Shares repurchased for treasury(43,171) (92,666) (379,885)
Balance at end of year(2,077,741) (2,034,570) (1,941,904)
      
Total shareholders’ equity available to Arch9,196,602
 8,253,718
 6,166,542
Non-redeemable noncontrolling interests843,411
 851,854
 738,831
Total shareholders’ equity$10,040,013
 $9,105,572
 $6,905,373



See Notes to Consolidated Financial Statements


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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF CASH FLOWS
(U.S. dollars in thousands)
Year Ended December 31,
202020192018
Operating Activities
Net income$1,465,711 $1,693,300 $727,821 
Adjustments to reconcile net income to net cash provided by operating activities:
Net realized (gains) losses(844,625)(377,967)390,379 
Equity in net income or loss of investments accounted for using the
equity method and other income or loss
(47,951)(14,013)36,694 
Amortization of intangible assets69,031 82,104 105,670 
Share-based compensation71,262 66,417 55,776 
Changes in:
Reserve for losses and loss adjustment expenses, net of unpaid losses and loss adjustment expenses recoverable2,113,827 489,981 243,734 
Unearned premiums, net of ceded unearned premiums445,781 252,569 114,772 
Premiums receivable(318,643)(237,752)(211,296)
Deferred acquisition costs(143,948)(47,260)(37,847)
Reinsurance balances payable65,950 182,132 73,438 
Other items, net10,110 (41,052)60,181 
Net cash provided by operating activities2,886,505 2,048,459 1,559,322 
Investing Activities
Purchases of fixed maturity investments(39,765,277)(30,053,777)(33,327,660)
Purchases of equity securities(1,595,010)(811,967)(1,001,149)
Purchases of other investments(1,808,727)(1,470,545)(2,014,622)
Proceeds from sales of fixed maturity investments37,949,346 28,595,865 31,513,271 
Proceeds from sales of equity securities1,147,264 429,818 1,118,445 
Proceeds from sales, redemptions and maturities of other investments1,029,578 1,209,559 1,561,958 
Proceeds from redemptions and maturities of fixed maturity investments871,134 643,265 892,755 
Net settlements of derivative instruments179,006 59,982 44,699 
Net (purchases) sales of short-term investments(1,029,681)39,833 485,473 
Change in cash collateral related to securities lending81,210 (62,193)180,883 
Purchases of fixed assets(39,872)(37,837)(29,809)
Other(62,197)(348,486)21,736 
Net cash provided by (used for) investing activities(3,043,226)(1,806,483)(554,020)
Financing Activities
Redemption of preferred shares(92,555)
Purchases of common shares under share repurchase program(83,472)(2,871)(282,762)
Proceeds from common shares issued, net1,876 6,203 (7,608)
Proceeds from borrowings1,018,793 200,083 218,259 
Repayments of borrowings(359,000)(49,182)(576,401)
Change in cash collateral related to securities lending(81,210)62,193 (180,883)
Change in third party investment in non-redeemable noncontrolling interests(2,867)(75,056)
Change in third party investment in redeemable noncontrolling interests(161,882)
Dividends paid to redeemable noncontrolling interests(4,945)(12,515)(17,989)
Other73,715 (6,023)(7,226)
Preferred dividends paid(41,612)(41,612)(41,645)
Net cash provided by (used for) financing activities521,278 (80,662)(988,810)
Effects of exchange rate changes on foreign currency cash and restricted cash22,289 17,741 (19,133)
Increase (decrease) in cash and restricted cash386,846 179,055 (2,641)
Cash and restricted cash, beginning of year903,698 724,643 727,284 
Cash and restricted cash, end of year$1,290,544 $903,698 $724,643 
Income taxes paid (received)$202,940 $109,463 $(980)
Interest paid$133,491 $126,945 $119,775 

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF CASH FLOWS
(U.S. dollars in thousands)
 Year Ended December 31,
 2017 2016 2015
Operating Activities     
Net income$629,709
 $824,178
 $526,582
Adjustments to reconcile net income to net cash provided by operating activities:     
Net realized (gains) losses(174,517) (178,507) 149,961
Net impairment losses recognized in earnings7,138
 30,442
 20,116
Equity in net income or loss of investment funds accounted for using the
equity method and other income or loss
(79,540) 5,644
 3,857
Amortization of intangible assets125,778
 19,343
 22,926
Share-based compensation67,798
 56,581
 56,096
Changes in:     
Reserve for losses and loss adjustment expenses, net of unpaid losses and loss adjustment expenses recoverable614,534
 372,244
 181,658
Unearned premiums, net of ceded unearned premiums116,841
 146,569
 83,626
Premiums receivable(31,405) (71,613) (26,783)
Deferred acquisition costs(78,378) (38,597) (29,008)
Reinsurance balances payable8,529
 31,542
 (5,885)
Other items, net(93,870) 198,818
 14,760
Net Cash Provided By Operating Activities1,112,617
 1,396,644
 997,906
      
Investing Activities     
Purchases of fixed maturity investments(36,806,913) (35,532,810) (29,451,873)
Purchases of equity securities(1,021,016) (665,702) (515,413)
Purchases of other investments(2,020,624) (1,389,406) (1,749,525)
Proceeds from sales of fixed maturity investments35,686,779
 34,559,966
 28,094,047
Proceeds from sales of equity securities1,056,401
 751,728
 564,011
Proceeds from sales, redemptions and maturities of other investments1,528,617
 1,149,328
 1,250,883
Proceeds from redemptions and maturities of fixed maturity investments907,417
 755,007
 748,529
Net settlements of derivative instruments(28,563) (17,068) (5,056)
Proceeds from investment in joint venture
 
 40,000
Net (purchases) sales of short-term investments(734,554) (123,410) 169,095
Change in cash collateral related to securities lending12,540
 (155,248) (6,662)
Acquisitions, net of cash(27,709) (1,992,720) 818
Purchases of fixed assets(22,841) (15,303) (15,736)
Other110,470
 (45,905) (36,993)
Net Cash Used For Investing Activities(1,359,996) (2,721,543) (913,875)
      
Financing Activities     
Proceeds from issuance of preferred shares, net319,694
 434,899
 
Redemption of preferred shares(230,000) (2,445) 
Purchases of common shares under share repurchase program
 (75,256) (365,383)
Proceeds from common shares issued, net(21,048) (2,418) 4,861
Proceeds from borrowings253,415
 1,386,741
 431,362
Repayments of borrowings(197,000) (219,171) 
Change in cash collateral related to securities lending(12,540) 155,248
 6,662
Dividends paid to redeemable noncontrolling interests(17,989) (17,989) (18,307)
Other(51,896) 4,130
 (41,913)
Preferred dividends paid(46,041) (28,070) (21,938)
Net Cash Provided By (Used For) Financing Activities(3,405) 1,635,669
 (4,656)
      
Effects of exchange rate changes on foreign currency cash14,041
 (21,154) (11,751)
      
Increase (decrease) in cash(236,743) 289,616
 67,624
Cash beginning of year842,942
 553,326
 485,702
Cash end of year$606,199
 $842,942
 $553,326
      
Income taxes paid$51,781
 $50,621
 $40,273
Interest paid$117,374
 $63,288
 $52,728
Non-cash consideration paid in convertible non-voting common equivalent preferred shares$
 $1,101,304
 $

See Notes to Consolidated Financial Statements


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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS




1.    General
Arch Capital Group Ltd. (“Arch Capital”) is a publicly listed Bermuda public limited liabilityexempted company which provides insurance, reinsurance and mortgage insurance on a worldwide basis through its wholly owned subsidiaries.
As used herein, the “Company” means Arch Capital and its subsidiaries. Similarly, “Common Shares” means the common shares of Arch Capital. The Company’s consolidated financial statements include the results of Watford Holdings Ltd., and its wholly owned subsidiaries (“Watford Re”Watford”). See Note 4. note 12, “Variable Interest Entity and Noncontrolling Interests”.
The Company has reclassified the presentation of certain prior year information to conform to the current presentation. Such reclassifications had no effect on the Company’s net income, shareholders’ equity or cash flows. Tabular amounts are in U.S. Dollars in thousands, except share amounts, unless otherwise noted.
2.    Business Acquired
Arch MI Asia Limited
On July 1, 2017, the Company completed its previously announced acquisition of AIG United Guaranty Insurance (Asia) Limited (renamed “Arch MI Asia Limited”) following the payment of $40.0 million to AIG. Arch MI Asia Limited compliments the Company’s existing private mortgage insurance businesses, which have operations in the United States, Europe and Australia.
The purchase price was allocated to the acquired assets and liabilities of Arch MI Asia Limited based on estimated fair values on the acquisition date. The Company recognized other intangible assets of $2.3 million and goodwill of $0.8 million. The goodwill balance is primarily attributed to Arch MI Asia Limited’s assembled workforce and access to the mortgage insurance market. None of the goodwill recognized is expected to be deductible for income tax purposes.
United Guaranty Corporation
On December 31, 2016, the Company’s U.S.-based subsidiaries completed the acquisition of all of the issued and outstanding shares of capital stock of United Guaranty Corporation, a North Carolina corporation (“UGC”) pursuant to the Stock Purchase Agreement with American International Group, Inc. (“AIG”) entered into on August 15, 2016 (“Stock Purchase Agreement”). The acquisition under the Stock Purchase Agreement is referred to herein as the “UGC acquisition.”
The UGC acquisition expanded the scale of the Company’s existing mortgage insurance business by combining UGC’s position as the market leader in the U.S. private mortgage
insurance industry with the Company’s financial strength and history of innovation.
The aggregate purchase price paid by the Company was $3.26 billion, consisting of cash consideration of $2.16 billion and convertible non-voting common equivalent preferred shares of Arch Capital with a fair value of $1.1 billion. In connection with the UGC acquisition, the 50% quota share reinsurance agreement between United Guaranty Residential Insurance Company and three subsidiaries of AIG relating to policy years 2014, 2015 and 2016 was amended to terminate on a run-off basis as of 12:01 a.m. on January 1, 2017.
The following table summarizes the fair value of net assets acquired and allocation of purchase price, measured as of the acquisition date:

  Total Useful Life
Purchase price    
Cash paid $2,159,524
  
Convertible non-voting common equivalent preferred shares (1) 1,101,304
  
Total purchase price (a) $3,260,828
  
     
Assets acquired    
Cash $187,715
  
Investments, at fair value 3,404,267
  
Accrued investment income 33,770
  
Premiums receivable 34,545
  
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses 27,280
  
Ceded unearned premiums 302,090
  
Intangible asset -- acquired insurance contracts 350,000
 9 years
Intangible asset -- distribution relationships 115,000
 20 years
Intangible asset -- operating platform 15,000
 5 years
Intangible asset -- insurance licenses 27,000
 Indefinite
Other assets acquired 133,222
  
Total assets acquired 4,629,889
  
     
Liabilities acquired    
Reserves for losses and loss adjustment expenses $577,268
  
Unearned premiums 837,175
  
Reinsurance balances payable 49,295
  
Other liabilities acquired 94,081
  
Total liabilities acquired 1,557,819
  
Net assets acquired (b) $3,072,070
  
Goodwill (a)-(b) $188,758
  
(1) Based upon a formula set forth in the Stock Purchase Agreement, AIG received 1,276,282 of Arch Capital’s convertible non-voting common equivalent preferred shares, each of which is convertible into 10 shares of Arch Capital fully paid non-assessable common stock. The Company has determined that, based on a review of the terms, features and rights of the Company’s non-voting common equivalent preferred shares compared to the rights of the Company’s common shareholders, the underlying 12,762,820 common shares that the convertible securities converted to were common share equivalents at the time of their issuance. See Note 19 for further details.


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Barbican Group Holdings Limited

TableOn November 29, 2019, the Company closed the acquisition of Contents
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



Prior to our acquisition, UGC, which is based in Greensboro, North Carolina, operatedBarbican Group Holdings Limited and its U.S. business through its primary operating subsidiaries: United Guaranty Residential Insurance Company, which is licensed and operates in all 50 states, the District of Columbia and Puerto Rico; and United Guaranty Mortgage Indemnity Company (“UGMIC”subsidiaries (collectively, “Barbican”), which is licensed in 48 states and the District of Columbia..
The Company recognized goodwill of $188.8 million that is primarily attributed to UGC’s assembled workforce, access to the mortgage insurance market and additional synergies to be realized in the future. Under U.S. tax principles, the UGC acquisition was structured as a deemed asset acquisition under Internal Revenue Code Section 338(h)(10). As an asset acquisition, the tax bases in the acquired assets were adjusted to fair market value. Any remaining purchase price was allocated to intangible assets and goodwill, which are amortizable over 15 years. The Company estimated that $126.9 million of goodwill along with each of the identified intangible assets was expected to be deductible for tax purposes at December 31, 2016. The Company includes the operations of UGC in its mortgage segment (see Note 5).Ardonagh Group
Supplemental Pro Forma Information
The following table presents unaudited pro forma consolidated information for the years ended December 31, 2016 and 2015 and assumes the UGC acquisition occurred onOn January 1, 2015.2019, the Company’s U.K. insurance operations entered into a transaction with The pro forma financial information is presentedArdonagh Group to acquire renewal rights for informational purposes onlya U.K. commercial lines book of business, consisting of commercial property, casualty, motor, professional liability, personal accident and does not necessarily reflecttravel business.
McNeil
On December 6, 2018, the results that would have occurred hadCompany closed the acquisition taken place on January 1, 2015, nor is it necessarily indicative of future results. Significant adjustments used to determine the pro forma results below include amortization of intangible assetsMcNeil & Co. (“McNeil”), a nationwide leader in specialized risk management and financing adjustments related to the Company’s issuance of senior notes, revolving credit agreement borrowings and preferred shares, and the corresponding income tax effects. Non-recurring transaction costs have been includedinsurance programs headquartered in the unaudited pro forma results in the 2015 period.Cortland, New York.
 Unaudited Pro Forma
 Year Ended December 31,
 2016 2015
Total revenues$5,311,729
 $4,840,084
Net income available to Arch common shareholders$913,882
 $718,463
Net income per common share and common share equivalent   
Basic$6.84 $5.34
Diluted$6.65 $5.18
3.    Significant Accounting Policies
(a) Basis of Presentation
The consolidated financial statements have been prepared in conformity with accounting principles generally accepted in the United States of America (“GAAP”) and include the accounts of Arch Capital and its subsidiaries, including Arch Reinsurance Ltd. (“Arch Re Bermuda”), Arch Reinsurance Company (“Arch Re U.S.”), Arch Capital Group (U.S.) Inc.(“Arch-U.S.”), Arch Insurance Company, Arch Specialty Insurance Company, Arch ExcessProperty & SurplusCasualty Insurance Company (“Arch P&C”), Arch Indemnity Insurance Company, Arch Insurance Canada Ltd. (“Arch Insurance Canada”), Arch Reinsurance Europe Underwriting Designated Activity Company (“Arch Re Europe”), Arch Mortgage Insurance
Company (“AMIC”), Arch Mortgage Guaranty Company, United Guaranty Residential Insurance Company (“UGRIC”), Arch Mortgage Insurance (EU) Designated Activity Company (“Arch MI Europe”Insurance (EU)”), Arch Insurance Company (Europe)(UK) Limited (“Arch Insurance Company Europe”(U.K.)”), Lloyd’s of London syndicatesyndicate: Arch Syndicate 2012 and related companies (“Arch Syndicate 2012”), Gulf Reinsurance Limited and Watford Re.Arch Syndicate 1955 (“Arch Syndicate 1955”) and Watford. All significant intercompany transactions and balances have been eliminated in consolidation.
The preparation of financial statements in conformity with GAAP requires management to make estimates and assumptions that affect the reported amounts of assets and liabilities and disclosure of contingent assets and liabilities at the date of the financial statements and the reported amounts of revenues and expenses during the reporting period. Actual results could differ materially from those estimates and assumptions. The Company’s principal estimates include:
The reserve for losses and loss adjustment expenses;
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses, including the provision for uncollectible amounts;
Estimates of written and earned premiums;
The valuation of the investment portfolio and assessment of other-than-temporary impairments (“OTTI”);allowance for credit losses;
The valuation of purchased intangible assets;
The assessment of goodwill and intangible assets for impairment; and
theThe valuation of deferred tax assets.
The Company has reclassified the presentation of certain prior year information to conform to the current presentation. Such reclassifications had no effect on the Company’s net income, shareholders’ equity or cash flows.
(b) Premium Revenues and Related Expenses
Insurance.Insurance premiums written are generally recorded at the policy inception and are primarily earned on a pro rata basis over the terms of the policies for all products, usually 12 months. Premiums written include estimates in the Company’s programs, specialty lines, lenders products business and for participation in involuntary pools. Such premium estimatesthat are derived from multiple sources which include the historical


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experience of the underlying business, similar business and available industry information. Unearned premium reserves represent the portion of premiums written that relates to the unexpired terms of in-force insurance policies.
Reinsurance. Reinsurance premiums written include amounts reported by brokers and ceding companies, supplemented by the Company’s own estimates of premiums where reports have not been received. The determination of premium estimates requires a review of the Company’s experience with the ceding companies, familiarity with each market, the

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timing of the reported information, an analysis and understanding of the characteristics of each line of business, and management’s judgment of the impact of various factors, including premium or loss trends, on the volume of business written and ceded to the Company. On an ongoing basis, the Company’s underwriters review the amounts reported by these third parties for reasonableness based on their experience and knowledge of the subject class of business, taking into account the Company’s historical experience with the brokers or ceding companies. In addition, reinsurance contracts under which the Company assumes business generally contain specific provisions which allow the Company to perform audits of the ceding company to ensure compliance with the terms and conditions of the contract, including accurate and timely reporting of information. Based on a review of all available information, management establishes premium estimates where reports have not been received. Premium estimates are updated when new information is received and differences between such estimates and actual amounts are recorded in the period in which estimates are changed or the actual amounts are determined.
Reinsurance premiums written are recorded based on the type of contracts the Company writes. Premiums on the Company’s excess of loss and pro rata reinsurance contracts are estimated when the business is underwritten. For excess of loss contracts, premiums are recorded as written based on the terms of the contract. Estimates of premiums written under pro rata contracts are recorded in the period in which the underlying risks are expected to incept and are based on information provided by the brokers and the ceding companies. For multi-year reinsurance treaties which are payable in annual installments, generally, only the initial annual installment is included as premiums written at policy inception due to the ability of the reinsured to commute or cancel coverage during the term of the policy. The remaining annual installments are included as premiums written at each successive anniversary date within the multi-year term.
Reinstatement premiums for the Company’s insurance and reinsurance operations are recognized at the time a loss event occurs, where coverage limits for the remaining life of the contract are reinstated under pre-defined contract terms. Reinstatement premiums, if obligatory, are fully earned when recognized. The accrual of reinstatement premiums is based on
an estimate of losses and loss adjustment expenses, which reflects management’s judgment.
Premium estimates are reviewed by management at least quarterly. Such review includes a comparison of actual reported premiums to expected ultimate premiums along with a review of the aging and collection of premium estimates. Based on management’s review, the appropriateness of the premium estimates is evaluated, and any adjustment to these estimates is recorded in the period in which it becomes known. Adjustments to premium estimates could be material and such adjustments could directly and significantly impact earnings favorably or unfavorably in the period they are determined because the estimated premium may be fully or substantially earned. A significant portion of amounts included as premiums receivable, which represent estimated premiums written, net of commissions, are not currently due based on the terms of the underlying contracts.
Reinsurance premiums written, irrespective of the class of business, are generally earned on a pro rata basis over the terms of the underlying policies or reinsurance contracts. Contracts and policies written on a “losses occurring” basis cover claims that may occur during the term of the contract or policy, which is typically 12 months. Accordingly, the premium is earned evenly over the term. Contracts which are written on a “risks attaching” basis cover claims which attach to the underlying insurance policies written during the terms of such contracts. Premiums earned on such contracts usually extend beyond the original term of the reinsurance contract, typically resulting in recognition of premiums earned over a 24-month period. Certain of the Company’s reinsurance contracts include provisions that adjust premiums or acquisition expenses based upon the experience under the contracts. Premiums written and earned, as well as related
acquisition expenses, are recorded based upon the projected experience under such contracts.
The Company also writes certain reinsurance business that is intended to provide insurers with risk management solutions that complement traditional reinsurance. Under these contracts, the Company assumes a measured amount of insurance risk in exchange for an anticipated margin, which is typically lower than on traditional reinsurance contracts. The terms and conditions of these contracts may include additional or return premiums based on loss experience, loss corridors, sublimits and caps. Examples of such business include aggregate stop-loss coverages, financial quota share coverages and multi-year retrospectively rated excess of loss coverages. If these contracts are deemed to transfer risk, they are accounted for as reinsurance. Otherwise, such contracts are accounted for under the deposit method.
Mortgage. Mortgage guaranty insurance policies are contracts that are generally non-cancelable by the insurer, are renewable at a fixed price, and provide for payment of premiums on a monthly, annual or single basis. Upon renewal, the Company


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is not able to re-underwrite or re-price its policies. Consistent with industry accounting practices, premiums written on a monthly basis are earned as coverage is provided. Premiums written on an annual basis are amortized on a monthly pro rata basis over the year of coverage. Primary mortgage insurance premiums written on policies covering more than one year are referred to as single premiums. A portion of the revenue from single premiums is recognized in premiums earned in the current period, and the remaining portion is deferred as unearned premiums and earned over the estimated expiration of risk of the policy. If single premium policies related to insured loans are canceled due to repayment by the borrower and the policy is a non-refundable product, the remaining unearned premium related to each canceled policy is recognized as earned premium upon notification of the cancellation.
Reinstatement premiums for the Company’s insurance and reinsurance operations are recognized at the time a loss event occurs, where coverage limits for the remaining life of the contract are reinstated under pre-defined contract terms. Reinstatement premiums, if obligatory, are fully earned when recognized. The accrual of reinstatement premiums is based on an estimate of losses and loss adjustment expenses, which reflects management’s judgment.
Premium estimates are reviewed by management at least quarterly. Such review includes a comparison of actual reported premiums to expected ultimate premiums along with a review of the aging and collection of premium estimates. Based on management’s review, the appropriateness of the premium estimates is evaluated, and any adjustment to these estimates is recorded in the period in which it becomes known. Adjustments to premium estimates could be material

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and such adjustments could directly and significantly impact earnings favorably or unfavorably in the period they are determined because the estimated premium may be fully or substantially earned. A significant portion of amounts included as premiums receivable, which represent estimated premiums written, net of commissions, are not currently due based on the terms of the underlying contracts.
Unearned premiums represent the portion of premiums written that is applicable to the estimated unexpired risk of insured loans. A portion of premium payments may be refundable if the insured cancels coverage, which generally occurs when the loan is repaid, the loan amortizes to a sufficiently low amount to trigger a lender permitted or legally required cancellation, or the value of the property has increased sufficiently in accordance with the terms of the contract. Premium refunds reduce premiums earned in the consolidated statements of income. Generally, only unearned premiums are refundable.
Premiums receivable include amounts receivable from agents, brokers and insured that are both currently due and amounts not yet due on insurance, reinsurance and mortgage insurance policies. Premiums receivable balances are reported net of an allowance for expected credit losses. The Company monitors credit risk associated with premiums receivable through its ongoing review of amounts outstanding, aging of the receivable, historical loss data, and counterparty financial strength measures. The allowance also includes estimated uncollectible amounts related to dispute risk. In certain instances, credit risk may be reduced by the Company’s right to offset loss obligations or unearned premiums against premiums receivable. Any allowance for credit losses is charged to net realized gains (losses) in the period the receivable is recorded and revised in subsequent periods to reflect changes in the Company’s estimate of expected credit losses. See note 7, “Allowance for Expected Credit Losses for additional information.
Acquisition Costs.Acquisition costs that are directly related and incremental to the successful acquisition or renewal of business are deferred and amortized based on the type of contract. The Company’s insurance and reinsurance operations capitalize incremental direct external costs that result from acquiring a contract but do not capitalize salaries, benefits and other internal underwriting costs. For the Company’s mortgage insurance operations, which include a substantial direct sales force, both external and certain internal direct costs are deferred and amortized. For property and casualty insurance and reinsurance contracts, deferred acquisition costs are amortized over the period in which the related premiums are earned. Consistent with mortgage insurance industry accounting practice, amortization of acquisition costs related to the mortgage insurance contracts for each underwriting year’s book of business is recorded in proportion to estimated gross profits. Estimated gross profits
are comprised of earned premiums and losses and loss adjustment expenses. For each underwriting year, the Company estimates the rate of amortization to reflect actual experience and any changes to persistency or loss development.
Deferred acquisition costs are carried at their estimated realizable value and take into account anticipated losses and loss adjustment expenses, based on historical and current experience, and anticipated investment income.
A premium deficiency occurs if the sum of anticipated losses and loss adjustment expenses, unamortized acquisition costs
and maintenance costs exceed unearned premiums (including expected future premiums) and anticipated investment income. A premium deficiency reserve (“PDR”) is recorded by charging any unamortized acquisition costs to expense to the extent required in order to eliminate the deficiency. If the premium deficiency exceeds unamortized acquisition costs then a liability is accrued for the excess deficiency.
To assess the need for a PDR on mortgage exposures, the Company develops loss projections based on modeled loan defaults related to its current policies in force. This projection is based on recent trends in default experience, severity and rates of defaulted loans moving to claim, as well as recent trends in the rate at which loans are prepaid, and incorporates anticipated interest income. Evaluating the expected profitability of the Company’s existing mortgage insurance business and the need for a PDR for its mortgage business involves significant reliance upon assumptions and estimates with regard to the likelihood, magnitude and timing of potential losses and premium revenues.
No premium deficiency charges were recorded by the Company during 2017, 20162020, 2019 or 2015.2018.
(c) Deposit Accounting
Certain assumed reinsurance contracts that are deemed not to transfer insurance risk, are accounted for using the deposit method of accounting. However, it is possible that the Company could incur financial losses on such contracts. Management exercises significant judgment in the assumptions used in determining whether assumed contracts should be accounted for as reinsurance contracts or deposit contracts. For those contracts that contain only significant underwriting risk, the estimated profit margin is deferred and amortized over the contract period and such amount is included in the Company’s underwriting results. When the estimated profit margin is explicit, the margin is reflected as other underwriting income and any adverse financial results on such contracts are reflected as incurred losses. When the estimated profit margin is implicit, the margin is reflected as an offset to paid losses and any adverse financial results on such contracts are reflected as incurred losses. Additional

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judgments are required when applying the accounting guidance with respect to the revenue recognition criteria for contracts deemed to transfer only significant underwriting risk. For those contracts that contain only significant timing risk, an accretion rate is established at inception of the contract based on actuarial estimates whereby the deposit accounting liability is increased to the estimated amount payable over the contract term. The accretion on the deposit is based on the expected rate of return required to fund the expected future payment obligations. Periodically the Company reassesses the estimated ultimate liability and the related expected rate of return. The accretion of the deposit accounting liability as well as changes to the estimated ultimate liability and the accretion rate would be reflected as part of


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interest expense in the Company’s results of operations. Any negative accretion in a deposit accounting liability is shown in other underwriting income in the Company’s results of operations.
Under some of these contracts, the ceding company retains the related assets on a funds-held basis. Such amounts are included in “Other assets” on the Company’s balance sheet. Interest income produced by those assets are recorded as part of net investment income in the Company's results of operations.
(d) Retroactive AccountingReinsurance
Retroactive reinsurance reimburses a ceding company for liabilities incurred as a result of past insurable events covered by the underlying policies reinsured. In certain instances, reinsurance contracts cover losses both on a prospective basis and on a retroactive basis and, accordingly, the Company bifurcates the prospective and retrospective elements of these reinsurance contracts and accounts for each element separately where practical. Underwriting income generated in connection with retroactive reinsurance contracts is deferred and amortized into income over the settlement period while losses are charged to income immediately. Subsequent changes in estimated amount or timing of cash flows under such retroactive reinsurance contracts are accounted for by adjusting the previously deferred amount to the balance that would have existed had the revised estimate been available at the inception of the reinsurance transaction, with a corresponding charge or credit to income.
(e) Reinsurance Ceded
In the normal course of business, the Company purchases reinsurance to increase capacity and to limit the impact of individual losses and events on its underwriting results by reinsuring certain levels of risk with other insurance enterprises or reinsurers. The Company uses pro rata, excess of loss and facultative reinsurance contracts. Reinsurance ceding commissions that represent a recovery of acquisition costs are recognized as a reduction to acquisition costs while
the remaining portion is deferred. The accompanying consolidated statement of income reflects premiums and losses and loss adjustment expenses and acquisition costs, net of reinsurance ceded. See Notenote 8, “Reinsurance” for information on the Company's reinsurance usage. Reinsurance premiums ceded and unpaid losses and loss adjustment expenses recoverable are estimated in a manner consistent with that of the original policies issued and the terms of the reinsurance contracts. If the reinsurers are unable to satisfy their obligations under the agreements, the Company’s insurance or reinsurance subsidiaries would be liable for such defaulted amounts.
Reinsurance recoverables are recorded as assets, predicated on the reinsurers’ ability to meet their obligations under the reinsurance agreements. In certain instances, the Company obtains collateral, including letters of credit and trust accounts to further reduce the credit exposure on its reinsurance recoverables. The Company reports its reinsurance recoverables net of an allowance for expected credit loss. The allowance is based upon the Company’s ongoing review of amounts outstanding, the financial condition of its reinsurers, amounts and form of collateral obtained and other relevant factors. A ratings based probability-of-default and loss-given-default methodology is used to estimate the allowance for expected credit loss. Any allowance for credit losses is charged to net realized gains (losses) in the period the recoverable is recorded and revised in subsequent periods to reflect changes in the Company’s estimate of expected credit losses. See note 7, “Allowance for Expected Credit Losses” for additional information.
(f) Cash
Cash includes cash equivalents, which are investments with original maturities of three months or less thatwhich are not managedpart of the investment portfolio.
(g) Restricted Cash
Restricted cash represents amounts held for the benefit of third parties and is legally or contractually restricted as to withdrawal or usage by external or internal investment advisors.the Company. Such amounts are included in “Other assets” on the Company’s balance sheet.
(g)(h) Investments
The Company currently classifies substantially all of its fixed maturity investments equity securities and short-term investments as “available for sale” and, accordingly, they are carried at estimated fair value (also known as fair value) with the changes in fair value recorded as an unrealized gain or loss component of accumulated other comprehensive income in shareholders’ equity. The fair value of fixed maturity securities and equity securities is generally determined from quotations received from nationally recognized pricing

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services, or when such prices are not available, by reference to broker or underwriter bid indications. Short-term investments comprise securities due to mature within one year of the date of issue. Short-term investments include certain cash equivalents which are part of investment portfolios under the management of external and internal investment managers.
The Company enters into securities lending agreements with financial institutions to enhance investment income whereby it loans certain of its securities to third parties, primarily major brokerage firms, for short periods of time through a lending agent. Such securities have been reclassified as “Securities pledged under securities lending, at fair value.” The Company maintains legal control over the securities it lends, retains the earnings and cash flows associated with the loaned securities and receives a fee from the borrower for the temporary use of the securities. Collateral received is required at a rate of 102% or greater of the fair value of the loaned securities including accrued investment income and is monitored and maintained by the lending agent. Such collateral is reflected as “Collateral received under securities lending, at fair value.”
The Company’s investment portfolio includes certain funds that, due to their ownership structure, are accounted for by the Company using the equity method. In applying the equity method, these investments are initially recorded at cost and are subsequently adjusted based on the Company’s proportionate share of the net income or loss of the funds (which include changes in the fair value of the underlying securities in the funds). Such investments are generally recorded on a one to three month lag based on the availability of reports from the investment funds. Changes in the carrying value of such investments are recorded in net income as “Equity in net income (loss) of investment fundsinvestments accounted for using the equity method.” As such, fluctuations in the carrying value of the investment fundsinvestments accounted for using the equity method may increase the volatility of the Company’s reported results of operations.


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Other investments include funds and separately managed accounts with holdings in Asian and emerging markets, fixed maturities, term loans and otherThe Company’s investment strategies. The fair value for certain of the Company’s other investments are determined using net asset values (“NAVs”) as advised by external fund managers. The NAV is based on the fund manager’s valuation of the underlying holdings in accordance with the fund’s governing documents. Certain of the fundsportfolio includes equity securities that are accounted for as available for saleat fair value. Such holdings primarily include publicly traded common stocks. Dividend income on equities is reflected in net investment income. Changes in fair value on equity securities regardlessare included in “Net realized gains (losses)” in the consolidated statement of the nature of the investments held within the fund.income.
The Company elected to carry certain fixed maturity securities, equity securities and other investments at fair value under the fair value option afforded by accounting guidance regarding the fair value option for financial assets and liabilities. The fair value for certain of the Company’s other investments are determined using net asset values (“NAVs”) as advised by external fund managers. The NAV
is based on the fund manager’s valuation of the underlying holdings in accordance with the fund’s governing documents.
Changes in fair value of investments accounted for using the fair value option are included in “Net realized gains (losses).” The primary reasons for electing the fair value option were to address simplification and cost-benefit considerations.
The Company invests in reverse repurchase agreements that are generally treated as collateralized receivables. Receivables for reverse repurchase agreements are reflected in “Other investments” in the Company's consolidated balance sheet and may be short or long-term investments depending on their terms. These agreements are recorded at their contracted resale amount plus accrued interest, other than those that are accounted for at fair value. In reverse repurchase transactions, the Company obtains an interest in the purchased assets that are received as collateral.
The Company invests in limited partner interests and shares of limited liability companies. Such amounts are included in investments accounted for using the equity method and other investments available for sale and investments accounted for using the fair value option.investments. These investments can often have characteristics of a variable interest entity (“VIE”). A VIE refers to entities that have characteristics such as (i) insufficient equity at risk to allow the entity to finance its activities without additional financial support or (ii) instances where the equity investors, as a group, do not have the characteristic of a controlling financial interest. If the Company is determined to be the primary beneficiary, it is required to consolidate the VIE. The primary beneficiary is defined as the variable interest holder that is determined to have the controlling financial interest as a result of having both (i) the power to direct the activities of a VIE that most significantly impact the economic performance of the VIE and (ii) the obligation to absorb losses or right to receive benefits from the VIE that could potentially be significant to the VIE. At inception of the VIE as well as on an ongoing basis, the Company determines whether it is the primary beneficiary based on an analysis of the Company’s level of involvement in the VIE, the contractual terms, and the overall structure of the VIE. The Company's maximum exposure to loss with respect to these investments is limited to the investment carrying amounts reported in the Company's consolidated balance sheet and any unfunded commitment.
The Company performsconducts a periodic review to identify and evaluate credit based impairments related to the Company’s available for sale investments. The Company derives estimated credit losses by comparing expected future cash flows to be collected to the amortized cost of the security. Estimates of expected future cash flows consider among other things, macroeconomic conditions as well as the financial condition, near-term and long-term prospects for the issuer, and the likelihood of the recoverability of principal and interest. Effective January 1, 2020, credit losses are

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recognized through an allowance account subject to reversal, rather than a reduction in amortized cost. Declines in value attributable to factors other than credit are reported in other comprehensive income while the allowance for credit loss is charged to net realized gains (losses).
For available for sale investments that the Company intends to sell or for which it is more likely than not that the Company would be required to sell before an anticipated recovery in value, the full amount of the impairment is included in net realized gains (losses). The new cost basis of the investment is the previous amortized cost basis reduced by the impairment recognized in net realized gains (losses). The new cost basis is not adjusted for any subsequent recoveries in fair value.
The Company reports accrued investment income separately from investment balances and has elected not to measure an allowance for credit losses for accrued investment income. Any uncollectible accrued interest income is written off in the period it is deemed uncollectible.
Prior to January 1, 2020, the Company performed quarterly reviews of its investments to determine whether declines in fair value below the cost basis arewere considered other-than-temporary in accordance with applicable accounting guidance regarding the recognition and presentation of OTTI. The process of determining whether a security iswas other-than-temporarily impaired requiresrequired judgment and involvesinvolved analyzing many factors. These factors includeincluded (i) an analysis of the liquidity, business prospects and overall financial condition of the issuer, (ii) the time period in which
there was a significant decline in value, (iii) the significance of the decline and (iv) the analysis of specific credit events. The Company evaluates the unrealized losses of its equity securities by issuer and forecasts a reasonable period of time by which the fair value of the securities would increase and the Company would recover its cost. If the Company is unable to forecast a reasonable period of time in which to recover the cost of its equity securities, a net impairment loss in earnings equivalent to the entire unrealized loss is recognized.
When there arewere credit-related losses associated with debt securities for which the Company doesdid not have an intent to sell and it iswas more likely than not that it willwould not be required to sell the security before recovery of its cost basis, the amount of the OTTI related to a credit loss iswas recognized in earnings and the amount of the OTTI related to other factors (e.g., interest rates, market conditions, etc.) iswas recorded as a component of other comprehensive income (loss). The amount of the credit loss of an impaired debt security iswas the difference between the amortized cost and the greater of (i) the present value of expected future cash flows and (ii) the fair value of the security. In instances where no credit loss existsexisted but it iswas more likely than not that the Company willwould have to sell the debt security prior to the anticipated recovery, the decline in fair value below amortized cost iswas recognized as an OTTI in earnings. In periods after the recognition of an OTTI on debt securities, the Company accountsaccounted for such securities as if they had been purchased on the measurement date of the OTTI at an amortized cost basis equal to the previous amortized cost basis less the OTTI recognized in earnings. For debt securities for which OTTI were recognized in earnings, the
difference between the new amortized cost basis and the cash flows expected to be collected willwould be accreted or amortized into net investment income. See Notenote 9, “Investment Information” for additional information.
Net investment income includes interest and dividend income together with amortization of market premiums and discounts and is net of investment management and custody fees. Anticipated prepayments and expected maturities are used in applying the interest method for certain investments such as mortgage and other asset-backed securities. When actual prepayments differ significantly from anticipated prepayments, the effective yield is recalculated to reflect actual payments to date and anticipated future payments. The net investment in such securities is adjusted to the amount that would have existed had the new effective yield been applied since the acquisition of the security. Such adjustments, if any, are included in net investment income when determined.
Investment gains or losses realized on the sale of investments, except for certain fund investments, are determined on a first-in, first-out basis and are reflected in net income. Investment gains or losses realized on the sale of certain fund investments are determined on an average cost basis. Unrealized appreciation or decline in the value of available for sale securities, which are carried at fair value, is excluded from net


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income and recorded as a separate component of accumulated other comprehensive income, net of applicable deferred income tax.
(h)(i) Derivative Instruments
The Company recognizes all derivative instruments, including embedded derivative instruments, at fair value in its consolidated balance sheets. The Company employs the use of derivative instruments within its operations to mitigate risks arising from assets and liabilities held in foreign currencies as well as part of its overall investment strategy. For such instruments, changes in assets and liabilities measured at fair value are recorded as “Net realized gains” in the consolidated statements of income. In addition, the Company’s derivative instruments include amounts related to underwriting activities where an insurance or reinsurance contract meets the accounting definition of a derivative instrument. For such contracts, changes in fair value are reflected in “Other underwriting income” in the consolidated statements of income as the underlying contract originates from the Company’s underwriting operations. For the periods ended 2017, 2016,2020, 2019, and 2015,2018, the Company did not designate any derivative instruments as hedges under the relevant accounting guidance. See Notenote 11, “Derivative Instruments” for additional information.
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(j) Reserves for Losses and Loss Adjustment Expenses
Insurance and Reinsurance. The reserve for losses and loss adjustment expenses consists of estimates of unpaid reported losses and loss adjustment expenses and estimates for losses incurred but not reported. The reserve for unpaid reported losses and loss adjustment expenses, established by management based on reports from ceding companies and claims from insureds, excludes estimates of amounts related to losses under high deductible policies, and represents the estimated ultimate cost of events or conditions that have been reported to or specifically identified by the Company. Such reserves are supplemented by management’s estimates of reserves for losses incurred for which reports or claims have not been received. The Company’s reserves are based on a combination of reserving methods, incorporating both Company and industry loss development patterns. The Company selects the initial expected loss and loss adjustment expense ratios based on information derived by its underwriters and actuaries during the initial pricing of the business, supplemented by industry data where appropriate. Such ratios consider, among other things, rate changes and changes in terms and conditions that have been observed in the market. These estimates are reviewed regularly and, as experience develops and new information becomes known, the reserves are adjusted as necessary. Such adjustments, if any, are reflected in income in the period in which they are determined. As actual loss information has been reported, the Company has developed its own loss experience and its reserving methods include other actuarial techniques. Over time, such techniques have been given further weight in
its reserving process based on the continuing maturation of the Company’s reserves. Inherent in the estimates of ultimate losses and loss adjustment expenses are expected trends in claims severity and frequency and other factors which may vary significantly as claims are settled. Accordingly, ultimate losses and loss adjustment expenses may differ materially from the amounts recorded in the accompanying consolidated financial statements. Losses and loss adjustment expenses are recorded on an undiscounted basis, except for excess workers’ compensation and employers’ liability business written by the Company’s insurance operations.
Mortgage. The reserves for mortgage guaranty insurance losses and loss adjustment expenses are the estimated claim settlement costs on notices of delinquency that have been received by the Company, as well as loan delinquencies that have been incurred but have not been reported by the lenders. Consistent with primary mortgage insurance industry accounting practice, the Company does not establish loss reserves for future claims on insured loans that are not currently delinquent (defined as two consecutive missed payments)or more payments in arrears). The Company establishes loss reserves on a case-by-case basis when insured loans are reported delinquent using estimated claim rates and average claim sizes for each cohort, net of any salvage recoverable. The Company also reserves
for delinquencies that have occurred but have not yet been reported to the Company prior to the close of an accounting period. To determine this reserve, the Company estimates the number of delinquencies not yet reported using historical information regarding late reported delinquencies and applies estimated claim rates and claim sizes for the estimated delinquencies not yet reported.
The establishment of reserves across the Company’s segments is an inherently uncertain process, are necessarily based on estimates, and the ultimate net cost may vary from such estimates. The methods for making such estimates and for establishing the resulting liability are reviewed and updated using the most current information available. Any resulting adjustments, which may be material, are reflected in current operations.
(j)(k) Contractholder Receivables and Payables and Collateral Held for Insured Obligations
Certain insurance policies written by the Company’s U.S. insurance operations feature large deductibles, primarily in its construction and national accounts linesline of business. Under such contracts, the Company is obligated to pay the claimant for the full amount of the claim. The Company is subsequently reimbursed by the policyholderpolicy holder for the deductible amount. These amounts are included on a gross basis in the consolidated balance sheet inas contractholder payables and contractholder receivables, respectively.receivables. In the event that the Company is unable to collect from the policyholder, the Company would be liable for such defaulted amounts. Collateral, primarily in the form of letters of credit, cash and trusts, is obtained from the


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policyholder to mitigate the Company’s credit risk. In the instances where the Company receives collateral in the form of cash, the Company reflects it in “Collateral held for insured obligations.”
(k)Contractholder receivables are reported net of an allowance for expected credit losses. The allowance is based upon the Company’s ongoing review of amounts outstanding, changes in policyholder credit standing, amounts and form of collateral obtained, and other relevant factors. A ratings based probability-of-default and loss-given-default methodology is used to estimate the allowance for expected credit losses. Any allowance for credit losses is charged to net realized gains (losses) in the period the receivable is recorded and revised in subsequent periods to reflect changes in the Company’s estimate of expected credit losses. See note 7, “Allowance for Expected Credit Losses” for additional information.
(l) Foreign Exchange
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expenses of such foreign operations are translated at average exchange rates during the year. The net effect of the translation adjustments for foreign operations is included in accumulated other comprehensive income, net of applicable deferred income tax. Monetary assets and liabilities, such as premiums receivable and the reserve for losses and loss adjustment expenses, denominated in foreign currencies are revalued at the exchange rate in effect at the balance sheet date with the resulting foreign exchange gains and losses included in net income. Accounts that are classified as non-monetary, such as deferred acquisition costs and the unearned premium reserves, are not revalued. In the case of foreign currency denominated fixed maturity securities which are classified as “available for sale,” the change in exchange rates between the local currency in which the investments are denominated and the Company’s functional currency at each balance sheet date is included in unrealized appreciation or decline in value of securities, a component of accumulated other comprehensive income, net of applicable deferred income tax.
(l)(m) Income Taxes
Deferred income taxes reflect the expected future tax consequences of temporary differences between the carrying amounts of assets and liabilities for financial reporting purposes and amounts used for income tax purposes. A valuation allowance is recorded if it is more likely than not that some or all of a deferred tax asset may not be realized. The Company considers future taxable income and feasible tax planning strategies in assessing the need for a valuation allowance. In the event the Company determines that it will not be able to realize all or part of its deferred income tax assets in the future, an adjustment to the deferred income tax assets would be charged to income in the period in which such determination is made. In addition, if the Company subsequently assesses that the valuation allowance is no longer needed, a benefit would be recorded to income in the period in which such determination is made. See Note 14note 15, “Income Taxes” for additional information.
The Company recognizes a tax benefit where it concludes that it is more likely than not that the tax benefit will be sustained on audit by the taxing authority based solely on the technical merits of the associated tax position. If the recognition threshold is met, the Company recognizes a tax benefit measured at the largest amount of the tax benefit that, in the Company’s judgment, is greater than 50% likely to be realized. The
Company records interest and penalties related to unrecognized tax benefits in the provision for income taxes.
(m)(n) Share-Based Payment Arrangements
The Company applies a fair value based measurement method in accounting for its share-based payment
arrangements with eligible employees and directors. Compensation expense is estimated based on the fair value of the award at the grant date and is recognized in net income over the requisite service period with a corresponding increase in shareholders’ equity. No value is attributed to awards that employees forfeit because they fail to satisfy vesting conditions. The Company’s share-based payment arrangements(i) time-based awards generally vest over a three year period with one-third vesting on the first, second and third anniversaries of the grant date.date and (ii) performance-based awards cliff vest after each three year performance period based on achievement of the specified performance criteria. The share-based compensation expense associated with such awards that have graded vesting features and vest based on service conditions only is calculated on a straight-line basis over the requisite service period for the entire award. Compensation expense recognized in connection with performance awards is based on the achievement of the specified performance and service conditions. The final measure of compensation expense recognized over the requisite service period reflects the final performance outcome. During the recognition period compensation expense is accrued based on the performance condition that is probable of achievement. For awards granted to retirement-eligible employees where no service is required for the employee to retain the award, the grant date fair value is immediately recognized as compensation expense at the grant date because the employee is able to retain the award without continuing to provide service. For employees near retirement eligibility, attribution of compensation cost is over the period from the grant date to the retirement eligibility date. In November 2012, the Company issued off-cycle share-based awards, which cliff vested on the fifth anniversary of the grant date. The expense for such grant was amortized on a straight-line basis over the five-year requisite service period. These charges had no impact on the Company’s cash flows or total shareholders’ equity. See Note 3(q) and Note 20note 22, “Share-Based Compensation” for information relating to the Company’s share-based payment awards.
(n)(o) Guaranty Fund and Other Related Assessments
Liabilities for guaranty fund and other related assessments in the Company’s insurance and reinsurance operations are accrued when the Company receives notice that an amount is payable, or earlier if a reasonable estimate of the assessment can be made.
(o)(p) Treasury Shares
Treasury shares are common shares purchased by the Company and not subsequently canceled. These shares are recorded at cost and result in a reduction of the Company’s shareholders’ equity in its Consolidated Balance Sheets.
(p)(q) Goodwill and Intangible Assets
Goodwill represents the excess of the purchase price of an acquisition over the fair value of the net assets acquired and is assigned to the applicable reporting unit at acquisition. Goodwill is evaluated for impairment on an annual basis. Impairment tests may be performed more frequently if the facts



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Impairment tests may be performed more frequently if the facts and circumstances indicate a possible impairment. In performing impairment tests, the Company may first assess qualitative factors to determine whether it is more likely than not (that is, more than a 50% probability) that the fair value of a reporting unit exceeds its carrying amount as a basis for determining whether it is necessary to perform the two-step goodwill impairment test described in the accounting guidance.
Indefinite-lived intangible assets, such as insurance licenses are evaluated for impairment similar to goodwill. Finite-lived intangible assets and liabilities include the value of acquired insurance and reinsurance contracts, which are estimated based on the present value of future expected cash flows and amortized in proportion to the estimated profits expected to be realized. Other finite-lived intangible assets, or liabilities, including favorable or unfavorable contracts,customer lists, trade name and IT platforms, are amortized over their useful lives. Finite-lived intangible assets and liabilities are periodically reviewed for indicators of impairment. An impairment is recognized when the carrying amount is not recoverable from its undiscounted cash flows and is measured as the difference between the carrying amount and fair value.
If goodwill or intangible assets are impaired, such assets are written down to their fair values with the related expense recorded in the Company’s results of operations. See Note 18 for information relating to the Company’s goodwill and intangible assets.
(q)(r) Recent Accounting Pronouncements
Recently Issued Accounting Standards Adopted
The Company adopted Financial Accounting Standards Board (“FASB”) Accounting Standard Update (“ASU”) 2016-09, “Compensation - Stock Compensation (Topic 718) - Improvements to Employee Share-Based Payment Accounting,” effective January 1, 2017. This ASU was issued in the 2016 first quarter to improve and simplify the accounting for employee share-based payment transactions. This ASU provides simplifications with respect to income tax consequences, classification of awards as either equity or liabilities, and classification on the statement of cash flows for these types of transactions. With respect to the forfeiture accounting policy election, the Company has elected to account for forfeitures as they occur, which did not result in a material cumulative effect adjustment. With respect to the change in presentation in the statement of cash flows related to excess tax benefits, the Company has applied the guidance prospectively and prior periods have not been adjusted.
The Company adopted ASU 2017-04, “Intangibles2018-13, “Fair Value Measurement (Topic 820): Disclosure Framework - Goodwill and Other (Topic 350): SimplifyingChanges to the TestDisclosure Requirements for Goodwill Impairment,Fair Value Measurement. prospectively effective October 1, 2017. The ASU provides updated guidance that eliminatesmodifies the requirement to calculate the implieddisclosure requirements on fair value measurement as part of goodwill (i.e., stepthe disclosure framework project with the objective to improve the effectiveness of disclosures in the notes to the financial statements. The amendments in this update allow for removal of (1) the amount and reasons for transfer between Level 1 and Level 2 of the current goodwill impairment test) to measure a
goodwill impairment charge. Instead, entities will record an impairment charge by comparing a reporting unit's fair value with its carrying amounthierarchy; (2) the policy for transfers between levels; and recognizing an impairment charge(3) the valuation processes for the excess of the carrying amount over estimatedLevel 3 fair value (i.e., step 1 of the current goodwill impairment test).measurements. The adoption of this ASUguidance did not have a material effect on the Company's results of operations,Company’s consolidated financial position or liquidity.statements.
Recently Issued Accounting Standards Not Yet Adopted
The Company adopted ASU 2014-09, “Revenue from Contracts with Customers (Topic 606),” was issued in the 2014 second quarter2018-15, “Intangibles - Goodwill and updated through various ASUs in 2016.Other - Internal Use Software (Subtopic 350-40).” This ASU (and as updatedaligns the requirements for capitalizing certain implementation costs incurred in 2016) creates a new comprehensive revenue recognition standardcloud computing arrangement that will serve asis a single source of revenueservice contract with the requirements for capitalizing implementation costs incurred to develop or obtain internal-use software. The guidance provides flexibility in adoption, allowing for either retrospective adjustment or prospective adjustment for all companies in all industries. The guidance applies to all companies that either enter into contracts with customers to transfer goods or services or enter into contracts for the transfer of non-financial assets, unless those contracts are within the scope of other standards, such as insurance contracts or financial instruments. The ASU also requires enhanced disclosures about revenue. The ASU is effective in the 2018 first quarter and the Company intends on adopting the ASU using the modified retrospective method, whereby the cumulative effect of adoption will be recognized as an adjustment to retained earnings atimplementation
costs incurred after the date of initial application.adoption. The Company does not expect that the cumulative effect adjustment as a result of the adoption ofadopted this ASU will be material, mostly because the accounting for insurance contracts is outside of the scope of ASU 2014-09.
ASU 2016-01, “Financial Instruments - Overall (Subtopic 825-10) - Recognition and Measurement of Financial Assetsand Financial Liabilities,” was issued in the 2016 first quarter to enhance the reporting model for financial instruments and to provide improved financial information to readers of the financial statements. Among other provisions focused on improving the recognition and measurement of financial instruments, the ASU significantly changes the income statement impact of equity instruments and the recognition of changes in fair value of financial liabilities attributable to an entity's own credit risk when the fair value option is elected. The ASU requires equity instruments that do not result in consolidation and are not accounted for under the equity method to be measured at fair value with any changes in fair value recognized in net income rather than other comprehensive income. The ASU is effective in the 2018 first quarter. Upon adoption of this ASU, the Company expects to record a cumulative effect adjustment of $149.8 million in retained earnings and an offsetting decrease in accumulated other comprehensive income.guidance prospectively. The adoption of this ASU isguidance did not expected to have a material impacteffect on the Company'sCompany’s consolidated financial position, cash flows,statements.
The Company adopted ASU 2020-09, “Debt (Topic 470): Amendments to SEC Paragraphs Pursuant to SEC Release No. 33-10762.” This ASU aligns the SEC release issued in March 2020 amending Rule 3-10 of Regulation S-X regarding financial disclosure requirements for registered debt offerings involving subsidiaries as either issuers or total comprehensive income, but will increase volatilityguarantors and affiliates whose securities are pledged as collateral. This new guidance narrows the circumstances that require separate financial statements of subsidiary issuers and guarantors and streamlines the alternative disclosures required in lieu of those statements. The amendment is effective on January 4, 2021 with early adoption permitted. The Company elected to apply the amended requirements for the quarter ended March 31, 2020, and is no longer providing condensed consolidating financial information that resulted from the registered debt obligations of its subsidiaries, Arch Capital Group (U.S.) Inc. and Arch Capital Finance LLC., that were disclosed in Note 26 of the financial statements in the Company's results of operations.
Company’s 2019 Form 10-K.


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ASU 2016-16, “Income Taxes - Intra-Entity Transfers of Assets Other than Inventory (Topic 740),” was issued in the 2016 fourth quarter. This ASU requires entities to recognize current and deferred income tax resulting from an intra-entity asset transfer when the transfer occurs. Previously, recognition of income tax consequences under GAAP was not allowed until the asset had been sold to a third party. The ASU is effective in the 2018 first quarter. The Company does not expect that the cumulative effect adjustment as a result of the adoption of this ASU will be material.
ASU 2016-02, “Leases,” was issued in the 2016 first quarter pertaining to the accounting for leases by a lessee. The ASU requires that the lessee recognize an asset and a liability for leases with a lease term greater than 12 months regardless of whether the lease is classified as operating or financing. Under current accounting, operating leases are not reflected in the balance sheet. The ASU is effective for the 2019 first quarter, though early application is permitted, and should be applied on a modified retrospective basis. The Company is currently assessing the impact the implementation of this ASU will have on its consolidated financial statements. The Company's lease obligations under various non-cancelable operating lease agreements amounted to $169.0 million at December 31, 2017.
adopted ASU 2016-13, “Financial Instruments - Credit Losses (Topic 326),. was issued in the 2016 second quarter. The ASU changes how entities will measureapplies a new credit lossesloss model (current expected credit losses) for mostdetermining credit related impairments for financial assets and certain other instruments that aren’t measured at fair value through net income. The ASUamortized cost, including reinsurance recoverable, contractholder receivables, and premiums receivable, and requires an entity to estimate its lifetime “expected credit loss” and record an allowance that, when deducted from the amortized cost basis of the financial asset, presents the net amount expected to be collected on the financial asset. The ASU is effective for the 2020 first quarter, though early application is permitted in the 2019 first quarter,estimate of expected credit losses should consider historical information, current information, as well as reasonable and should be applied on a modified retrospective basis for the majoritysupportable forecasts, including estimates of the provisions. The Company is currently assessing the impact the implementation of this ASU will have on its consolidated financial statements.prepayments.
ASU 2016-15, “Statement of Cash Flows - Classification of Certain Cash Receipts and Cash Payments (Topic 230),” was issued in the 2016 third quarter. The ASU addresses several clarifications on the presentation and classification of certain cash receipts and cash payments in the statement of cash flows. Among several other cash flow issues, the ASU specifically addresses the classification of debt prepayment or debt issuance costs, contingent consideration payments made after a business combination and distributions received from equity method investees. The ASU also providesamends the previous other-than-temporary impairment model for available-for-sale debt securities by requiring the recognition of impairments relating to credit losses through an allowance account and limits the amount of credit loss to the difference between a broader principle on identifyingsecurity’s amortized cost basis and its fair value. In addition, the typelength of activity of the cash flow item by focusing on the cash flow item’s nature and the predominant source or use of that item. The ASU is effectivetime a security has been in the 2018 first quarter and should be applied retrospectively. Early adoption is permitted. The Company is assessing the impact the
implementation of this ASU will have on the classification and presentation of its statements of cash flows.
ASU 2016-18, "Statement of Cash Flows (Topic 230) - Restricted Cash" requires that restricted cash and restricted cash equivalents be included with cash and cash equivalents in the reconciliation of beginning and ending cash on the statements of cash flows. As a result, transfers between cash and cash equivalents and restricted cash and restricted cash equivalentsan unrealized loss position will no longer be presented onimpact the statementdetermination of cash flows. The ASU is effective, with retrospective adoption, for interim and annual periods beginning after December 15, 2017, with early adoption permitted. whether a credit loss exists.
The Company is currently assessingadopted the impactASU for the implementationquarter ending March 31, 2020 by recognizing an after-tax cumulative effect adjustment of this ASU will have on its consolidated financial statements.$22.5 million to the opening balance of retained earnings as of January 1, 2020. The adoption of this ASU is not expected to have a materialcumulative effect onadjustment decreased retained earnings and increased the Company’s results of operations, financial position, comprehensive income or net cash provided from operating activities.
ASU 2018-02 “Income Statement-Reporting Comprehensive Income (Topic 220) - Reclassification of Certain Tax Effects from Accumulated Other Comprehensive Income,” was issued in February 2018 to allow the reclassification of the stranded tax effects in accumulated other comprehensive income (“AOCI”) resulting from the Tax Cuts and Jobs Act of 2017 (“Tax Cuts Act”). Current guidance requires the effect of a change in tax laws or rates on deferred tax balances to be reported in income from continuing operations in the accounting period that includes the period of enactment, even if the related income tax effects were originally charged or credited directly to AOCI. The amount of the reclassification would include the effect of the change in the U.S. federal corporate income tax rate on the gross deferred tax amounts and related valuation allowances, if any, at the date of the enactment of the Tax Cuts Act related to items in AOCI. The updated guidance is effectiveallowance for reporting periods beginning after December 15, 2018 and is to be applied retrospectively to each period in which the effect of the Tax Cuts Act related to items remaining in AOCI are recognized or at the beginning of the period of adoption. Early adoption is permitted. The adoption of this ASU is not expected to have a material effect on the Company’s results of operations, financial position or liquidity.credit losses.



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Recently Issued Accounting Standards Not Yet Adopted
4. Variable Interest Entity and Noncontrolling Interests

Variable interest entity
A VIE refers to an entityASU 2019-12, “Simplifying the Accounting for Income Taxes,” was issued in December 2019. This ASU eliminates certain exceptions for recognizing deferred taxes for investments, performing intraperiod tax allocation and calculating income taxes in interim periods. The ASU also clarifies the accounting for transactions that has characteristics such as (i) insufficient equity at risk to allowresult in a step-up in the entity to finance its activities without additional financial support or (ii) instances wheretax basis of goodwill. The ASU is effective for fiscal years beginning after December 15, 2020 and interim periods within those fiscal years with early adoption permitted. The Company is currently evaluating the equity investors, as a group, do not have characteristics of a controlling financial interest. The primary beneficiary of a VIE is defined as the variable interest holder that is determined to have the controlling financial interest as a result of having both (i) the power to direct the activities of a VIE that most significantly impact the economic performance of the VIE and (ii) the obligation to absorb losses or right to receive benefits from the VIE that could potentially be significant to the VIE. If a company is determined to be the primary beneficiary, it is required to consolidate the VIE in its financial statements.
Watford Holdings Ltd.
In March 2014, Watford Re raised approximately $1.1 billion of capital consisting of $907.3 million in common equity ($895.6 million net of issuance costs) and $226.6 million in preference equity ($219.2 million net of issuance costs and discount). The Company invested $100.0 million and acquired approximately 11% of Watford Holdings Ltd.’s common equity and a warrant to purchase additional common equity. Subsidiaries of the Company act as Watford Re’s reinsurance and insurance underwriting managers. HPS Investment Partners, LLC (formerly Highbridge Principal Strategies, LLC) (“HPS”) manages Watford Re’s non-investment grade credit portfolios, and the Company manages Watford Re’s investment grade portfolios, each under separate long term services agreements. In connection with the capital raise at Watford Re, warrants to purchase a total of 1.7 million common shares were issued to the Company and HPS. The warrants are only exercisable if Watford Re has consummated an initial public offering of its common shares or otherwise effected a listing of its common sharesnew guidance on a U.S. national securities exchange and certain targeted returns are achieved for existing common shareholders. The warrants expire on March 25, 2020. John Rathgeber, previously Vice Chairman of Arch Worldwide Reinsurance Group, is CEO of Watford Re. In addition, Marc Grandisson and Nicolas Papadopoulo, both officers of the Company, serve on the board of directors of Watford Re.
The Company concluded that Watford Re is a VIE due to both the reinsurance underwriting management services agreements with the Company and the investment management agreements with HPS and the Company. These agreements provide for services for an extended period of time with limited termination rights by Watford Re. In addition, these agreements allow for both the Company and HPS to participate in the favorable
results of Watford Re in the form of performance fees. To determine if the Company is the primary beneficiary of Watford Re, the Company concluded that the most significant activity of Watford Re pertains to the insurance activities arising from the reinsurance underwriting management services agreement. As such, the Company concluded that it is the primary beneficiary of Watford Re and includes the results of Watford Re in its consolidated financial statements and does not expect this guidance to have a material effect on the Company’s consolidated financial statements.
ASU 2020-04, “Facilitation of the Effects of Reference Rate Reform on Financial Reporting,” was issued in March 2020. This ASU provides optional expedients and exceptions for applying GAAP to investments, derivatives, or other transactions that reference the London Interbank Offered Rate (LIBOR) or another reference rate expected to be discontinued because of reference rate reform. Along with the optional expedients, the amendments include a general principle that permits an entity to consider contract modifications due to reference reform to be an event that does not require contract re-measurement at the modification date or reassessment of a previous accounting determination. This standard may be elected over time through December 31, 2022 as reference rate reform activities occur. The Company concluded that Watford Re should be reflected inis currently evaluating the impact of the new guidance on its consolidated financial statements and does not expect this guidance to have a separate operating segment (‘other’) and providesmaterial effect on the income statement and total investable assets, total assets and total liabilities of Watford Re within Note 5.Company’s consolidated financial statements.
Because Watford Re is an independent company, the assets of Watford Re can be used only to settle obligations of Watford Re and Watford Re is solely responsible for its own liabilities and commitments. The Company’s financial exposure to Watford Re is limited to its investment in Watford Re’s common shares and counterparty credit risk (mitigated by collateral) arising from the reinsurance transactions.
The following table provides the carrying amount and balance sheet caption in which the assets and liabilities of Watford Re are reported:
 December 31,
 2017
2016
Assets   
Investments accounted for using the fair value option$2,426,066
 $1,857,623
Cash54,503
 74,893
Accrued investment income18,261
 17,017
Premiums receivable177,492
 189,911
Reinsurance recoverable on unpaid and paid losses and LAE42,777
 24,420
Ceded unearned premiums24,762
 12,145
Deferred acquisition costs, net85,961
 86,379
Receivable for securities sold36,374
 1,326
Goodwill and intangible assets7,650
 7,650
Other assets140,808
 111,386
Total assets of consolidated VIE$3,014,654
 $2,382,750
    
Liabilities   
Reserves for losses and loss adjustment expenses$798,262
 $510,809
Unearned premiums330,644
 293,480
Reinsurance balances payable18,424
 12,289
Revolving credit agreement borrowings441,132
 256,650
Payable for securities purchased42,501
 42,922
Other liabilities215,186
 88,976
Total liabilities of consolidated VIE$1,846,149
 $1,205,126
    
Redeemable noncontrolling interests$220,622
 $220,253


4.    Segment Information
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The following table summarizes Watford Re’s cash flow from operating, investing and financing activities.
 Year Ended December 31,
 2017 2016 2015
Total cash provided by (used for):     
Operating activities286,558
 288,006
 293,736
Investing activities(471,640) (118,829) (556,837)
Financing activities162,152
 (195,647) 361,917
Non-redeemable noncontrolling interests
The Company accounts for the portion of Watford Re’s common equity attributable to third party investors in the shareholders’ equity section of its consolidated balance sheets. The noncontrolling ownership in Watford Re’s common shares was approximately 89% at December 31, 2017. The portion of Watford Re’s income or loss attributable to third party investors is recorded in the consolidated statements of income in ‘net (income) loss attributable to noncontrolling interests.’
The following table sets forth activity in the non-redeemable noncontrolling interests:
 December 31,
 2017
2016
Balance, beginning of year$851,854
 $738,831
Amounts attributable to noncontrolling interests(7,913) 113,091
Foreign currency translation adjustments(530) (68)
Balance, end of year$843,411
 $851,854
Redeemable noncontrolling interests
The Company accounts for redeemable noncontrolling interests in the mezzanine section of its consolidated balance sheet. Such redeemable noncontrolling interests relate to the 9,065,200 cumulative redeemable preference shares (“Watford Preference Shares”) issued in late March 2014 with a par value of $0.01 per share and a liquidation preference of $25.00 per share. The Watford Preference Shares were issued at a discounted amount of $24.50 per share. Holders of the Watford Preference Shares will be entitled to receive, if declared by Watford Re’s board, quarterly cash dividends on the last day of March, June, September, and December. Dividends will accrue from the closing date to June 30, 2019 at a fixed rate of 8.5% per annum. From June 30, 2019 and subsequent, dividends will accrue based on a floating rate equal to the 3 month U.S. dollar LIBOR (with a 1% floor) plus a margin based on the difference between the fixed rate and the 5 year mid swap rate to the floating rate as set out on the Bloomberg Screen IRSB 18. The Watford Preference Shares may be redeemed by Watford Re on or after June 30, 2019 or at the option of the preferred shareholders at any time on or after June 30, 2034. Because the redemption features are not solely within the control of Watford Re, the
Company accounts for the redeemable noncontrolling interests in the Watford Preference Shares in the mezzanine section of its consolidated balance sheets. Preferred dividends on the Watford Preference Shares, including the accretion of the discount and issuance costs, was $19.6 million for 2017, 2016 and 2015. Preferred dividends, including the accretion of the discount and issuance costs, are included in ‘amounts attributable to noncontrolling interests’ in the Company’s consolidated statements of income.
The following table sets forth activity in the redeemable non-controlling interests:
 December 31,
 2017
2016 2015
Balance, beginning of year$205,553
 $205,182
 $219,512
Shares acquired by the Company (1)
 
 (14,700)
Accretion of preference share issuance costs369
 371
 370
Balance, end of year$205,922
 $205,553
 $205,182
(1) During the 2015 second quarter, the Company acquired Gulf Re, which owns 600,000 Watford Preference Shares. Such shares, net of a discount, along with related dividends and accretion of the discount, are eliminated in consolidation.

The portion of Watford Re’s income or loss attributable to third party investors is recorded in the consolidated statements of income in ‘net (income) loss attributable to noncontrolling interests’ as summarized in the table below:
 December 31,
 2017 2016 2015
Amounts attributable to non-redeemable noncontrolling interests$7,913
 $(113,091) $29,984
Dividends attributable to redeemable noncontrolling interests(18,344) (18,349) (18,828)
Net (income) loss attributable to noncontrolling interests$(10,431) $(131,440) $11,156
Bellemeade Re
UGC entered into an aggregate excess of loss reinsurance agreement with Bellemeade Re I Ltd. in July 2015, with Bellemeade Re II Ltd. in May 2016 and the Company entered into an aggregate excess of loss reinsurance agreement with Bellemeade 2017-1 Ltd. in October 2017 (the “Bellemeade Agreements”), special purpose reinsurance companies domiciled in Bermuda. Bellemeade Re I Ltd. and Bellemeade Re II Ltd. each provided for up to approximately $300 million of aggregate excess of loss reinsurance coverage at inception for new delinquencies on portfolios of in-force policies issued while Bellemeade 2017-1 Ltd. provided for up to approximately $368.1 million of aggregate excess of loss reinsurance coverage at inception for new delinquencies on portfolios of in-force policies issued between January 1, 2017 and June 30, 2017. See Note 8 for further details. At the time the Bellemeade Agreements were entered into, the applicability of the


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accounting guidance was that addresses VIEs was evaluated. As a result of the evaluation of the Bellemeade Agreements, we concluded that Bellemeade Re I Ltd., Bellemeade Re II Ltd. and Bellemeade 2017-1 Ltd. are VIEs. However, given that the ceding insurers do not have the unilateral power to direct those activities that are significant to the economic performance of Bellemeade Re I Ltd., Bellemeade Re II Ltd. and Bellemeade 2017-1 Ltd., the Company does not consolidate such companies in its consolidated financial statements.
The following table presents total assets of Bellemeade Re I Ltd., Bellemeade Re II Ltd. and Bellemeade 2017-1 Ltd. as well as the Company’s maximum exposure to loss associated with these VIEs:
   Maximum Exposure to Loss
 Total VIE Assets On-Balance Sheet Off-Balance Sheet Total
Bellemeade Re I Ltd.$92,390
 $471
 $832
 $1,303
Bellemeade Re II Ltd.135,201
 20
 527
 547
Bellemeade 2017-1 Ltd.347,139
 391
 1,867
 2,258
Total$574,730
 $882
 $3,226
 $4,108
5.    Segment Information
The Company classifies its businesses into three3 underwriting segments — insurance, reinsurance and mortgage — and two2 other operating segments — ‘other’ and corporate (non-underwriting). The Company determined its reportable segments using the management approach described in accounting guidance regarding disclosures about segments of an enterprise and related information. The accounting policies of the segments are the same as those used for the preparation of the Company’s consolidated financial statements. Intersegment business is allocated to the segment accountable for the underwriting results.
The Company’s insurance, reinsurance and mortgage segments each have managers who are responsible for the overall profitability of their respective segments and who are directly accountable to the Company’s chief operating decision makers, the Chairman and Chief Executive Officer of Arch Capital, the PresidentChief Financial Officer and Chief Operating OfficerTreasurer of Arch Capital and the
President and Chief FinancialUnderwriting Officer of Arch Capital. The chief operating decision makers do not assess performance, measure return on equity or make resource allocation decisions on a line of business basis. Management measures segment performance for its three underwriting segments based on underwriting income or loss. The Company does not manage its assets by underwriting segment, with the exception of goodwill and intangible assets, and, accordingly, investment income is not allocated to each underwriting segment.
The insurance segment consists of the Company’s insurance underwriting units which offer specialty product lines on a worldwide basis. Product lines include:
•    Construction and national accounts: primary and excess casualty coverages to middle and large accounts in the construction industry and a wide range of products for middle and large national accounts, specializing in loss sensitive primary casualty insurance programs (including large deductible, self-insured retention and retrospectively rated programs).
•    Excess and surplus casualty: primary and excess casualty insurance coverages, including middle market energy business, and contract binding, which primarily provides casualty coverage through a network of appointed agents to small and medium risks.
•    Lenders products: collateral protection, debt cancellation and service contract reimbursement products to banks, credit unions, automotive dealerships and original equipment manufacturers and other specialty programs that pertain to automotive lending and leasing.
•    Professional lines: directors’ and officers’ liability, errors and omissions liability, employment practices liability, fiduciary liability, crime, professional indemnity and other financial related coverages for corporate, private equity, venture capital, real estate investment trust, limited partnership, financial institution and not-for-profit clients of all sizes and medical professional and general liability insurance coverages for the healthcare industry. The business is predominately written on a claims-made basis.
•    Programs: primarily package policies, underwriting workers’ compensation and umbrella liability business in support of desirable package programs, targeting program managers with unique expertise and niche products offering general liability, commercial automobile, inland marine and property business with minimal catastrophe exposure.
•    Property, energy, marine and aviation: primary and excess general property insurance coverages, including catastrophe-exposed property coverage, for commercial

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clients. Coverages for marine include hull, war, specie and liability. Aviation and stand-alone terrorism are also offered.
•    Travel, accident and health: specialty travel and accident and related insurance products for individual, group travelers, travel agents and suppliers, as well as accident and health, which provides accident, disability and medical plan insurance coverages for employer groups, medical plan members, students and other participant groups.
•    Other: includes alternative market risks (including captive insurance programs), excess workers’


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compensation and employer’s liability insurance coverages for qualified self-insured groups, associations and trusts, and contract and commercial surety coverages, including contract bonds (payment and performance bonds) primarily for medium and large contractors and commercial surety bonds for Fortune 1000 companies and smaller transaction business programs.
The reinsurance segment consists of the Company’s reinsurance underwriting units which offer specialty product lines on a worldwide basis. Product lines include:
Casualty: provides coverage to ceding company clients on third party liability and workers’ compensation exposures from ceding company clients, primarily on a treaty basis. Exposures include, among others, executive assurance, professional liability, workers’ compensation, excess and umbrella liability, excess motor and healthcare business.
Marine and aviation: provides coverage for energy, hull, cargo, specie, liability and transit, and aviation business, including airline and general aviation risks. Business written may also include space business, which includes coverages for satellite assembly, launch and operation for commercial space programs.
Other specialty: provides coverage to ceding company clients for proportional motor and other lines including surety, accident and health, workers’ compensation catastrophe, agriculture, trade credit and political risk.
Property catastrophe: provides protection for most catastrophic losses that are covered in the underlying policies written by reinsureds, including hurricane, earthquake, flood, tornado, hail and fire, and coverage for other perils on a case-by-case basis. Property catastrophe reinsurance provides coverage on an excess
of loss basis when aggregate losses and loss adjustment expense from a single occurrence of a covered peril exceed the retention specified in the contract.
Property excluding property catastrophe: provides coverage for both personal lines and commercial property exposures and principally covers buildings, structures,
equipment and contents. The primary perils in this business include fire, explosion, collapse, riot, vandalism, wind, tornado, flood and earthquake. Business is assumed on both a proportional and excess of loss basis. In addition, facultative business is written which focuses on commercial property risks on an excess of loss basis.
Other. includes life reinsurance business on both a proportional and non-proportional basis, casualty clash business and, in limited instances, non-traditional business which is intended to provide insurers with risk management solutions that complement traditional reinsurance.
The mortgage segment includes the results of AMIC, UGRICCompany’s U.S. and UGMIC, leading providers ofinternational mortgage insurance products and services to thereinsurance operations as well as government sponsored enterprise (“GSE”) credit-risk sharing transactions. AMIC and UGRIC (components of “Arch MI U.S. market, and and Arch MI Europe, a leading provider of mortgage insurance products and services to the European market. AMIC, UGRIC and UGMIC”) are approved as eligible mortgage insurers by Federal National Mortgage Association (“Fannie Mae”) and Federal Home Loan Mortgage Corporation (“Freddie Mac”), each a government sponsored enterprise, or “GSE.” The mortgage segment. Arch MI U.S. also includes GSE credit risk-sharing transactions and mortgage reinsurance for the U.S. and Australian markets.Arch Mortgage Guaranty Company, which is not a GSE-approved entity.
The corporate (non-underwriting) segment results include net investment income, other income (loss), other expenses incurred by the Company, interest expense, net realized gains or losses, net impairment losses included in earnings, equity in net income or loss of investment fundsinvestments accounted for using the equity method, net foreign exchange gains or losses, UGC transaction costs and other, income taxes and items related to the Company’s non-cumulative preferred shares. Such amounts exclude the results of the ‘other’ segment.
The ‘other’ segment includes the results of Watford Re (see Note 4)note 12, “Variable Interest Entity and Noncontrolling Interests”). Watford Re has its own management and board of directors that is responsible for the overall profitability of the ‘other’ segment. For the ‘other’ segment, performance is measured based on net income or loss.





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The following tables summarize the Company’s underwriting income or loss by segment, together with a reconciliation of underwriting income or loss to net income available to Arch common shareholders, summary information regarding net premiums written and earned by major line of business and net premiums written by location:
Year Ended December 31, 2020
InsuranceReinsuranceMortgageSub-TotalOtherTotal
Gross premiums written (1)$4,688,562 $3,472,086 $1,473,999 $9,632,691 $728,546 $10,088,068 
Premiums ceded(1,525,655)(1,014,716)(194,149)(2,732,564)(190,957)(2,650,352)
Net premiums written3,162,907 2,457,370 1,279,850 6,900,127 537,589 7,437,716 
Change in unearned premiums(291,487)(295,141)118,085 (468,543)22,762 (445,781)
Net premiums earned2,871,420 2,162,229 1,397,935 6,431,584 560,351 6,991,935 
Other underwriting income (loss)(31)4,454 20,316 24,739 2,045 26,784 
Losses and loss adjustment expenses(2,092,453)(1,628,320)(528,344)(4,249,117)(440,482)(4,689,599)
Acquisition expenses(418,483)(354,048)(134,240)(906,771)(98,071)(1,004,842)
Other operating expenses(489,153)(168,011)(162,202)(819,366)(55,810)(875,176)
Underwriting income (loss)$(128,700)$16,304 $593,465 481,069 (31,967)449,102 
Net investment income401,908 117,700 519,608 
Net realized gains (losses)813,781 9,679 823,460 
Equity in net income (loss) of investments accounted for using the equity method146,693 146,693 
Other income (loss)16,795 16,795 
Corporate expenses(68,492)(68,492)
Transaction costs and other(9,456)(4,040)(13,496)
Amortization of intangible assets(69,031)(69,031)
Interest expense(120,214)(23,242)(143,456)
Net foreign exchange gains (losses)(80,161)(3,473)(83,634)
Income (loss) before income taxes1,512,892 64,657 1,577,549 
Income tax expense(111,812)(26)(111,838)
Net income (loss)1,401,080 64,631 1,465,711 
Amounts attributable to redeemable noncontrolling interests(2,997)(4,117)(7,114)
Amounts attributable to nonredeemable noncontrolling interests(53,076)(53,076)
Net income (loss) available to Arch1,398,083 7,438 1,405,521 
Preferred dividends(41,612)(41,612)
Net income (loss) available to Arch common shareholders$1,356,471 $7,438 $1,363,909 
Underwriting Ratios
Loss ratio72.9 %75.3 %37.8 %66.1 %78.6 %67.1 %
Acquisition expense ratio14.6 %16.4 %9.6 %14.1 %17.5 %14.4 %
Other operating expense ratio17.0 %7.8 %11.6 %12.7 %10.0 %12.5 %
Combined ratio104.5 %99.5 %59.0 %92.9 %106.1 %94.0 %
Goodwill and intangible assets$280,978 $18,963 $385,272 $685,213 $7,650 $692,863 
Total investable assets$26,856,295 $2,657,612 $29,513,907 
Total assets39,791,983 3,490,314 43,282,297 
Total liabilities26,789,149 2,505,707 29,294,856 
 Year Ended December 31, 2017
 Insurance Reinsurance Mortgage Sub-Total Other Total
Gross premiums written (1)$3,081,086
 $1,640,399
 $1,368,138
 $6,088,254
 $600,304
 $6,368,425
Premiums ceded(958,646) (465,925) (256,796) (1,679,998) (47,187) (1,407,052)
Net premiums written2,122,440
 1,174,474
 1,111,342
 4,408,256
 553,117
 4,961,373
Change in unearned premiums(9,422) (31,853) (54,176) (95,451) (21,390) (116,841)
Net premiums earned2,113,018
 1,142,621
 1,057,166
 4,312,805
 531,727
 4,844,532
Other underwriting income
 11,336
 15,737
 27,073
 3,180
 30,253
Losses and loss adjustment expenses(1,622,444) (773,923) (134,677) (2,531,044) (436,402) (2,967,446)
Acquisition expenses(323,639) (221,250) (100,598) (645,487) (129,971) (775,458)
Other operating expenses(359,524) (146,663) (146,336) (652,523) (31,928) (684,451)
Underwriting income (loss)$(192,589) $12,121
 $691,292
 510,824
 (63,394) 447,430
            
Net investment income      382,072
 88,800
 470,872
Net realized gains (losses)      148,798
 343
 149,141
Net impairment losses recognized in earnings      (7,138) 
 (7,138)
Equity in net income (loss) of investment funds accounted for using the equity method      142,286
 
 142,286
Other income (loss)      (2,571) 
 (2,571)
Corporate expenses (2)      (61,602) 
 (61,602)
UGC transaction costs and other (2)      (22,150) 
 (22,150)
Amortization of intangible assets      (125,778) 
 (125,778)
Interest expense      (103,592) (13,839) (117,431)
Net foreign exchange gains (losses)      (113,345) (2,437) (115,782)
Income before income taxes      747,804
 9,473
 757,277
Income tax expense      (127,547) (21) (127,568)
Net income      620,257
 9,452
 629,709
Dividends attributable to redeemable noncontrolling interests      
 (18,344) (18,344)
Amounts attributable to nonredeemable noncontrolling interests      
 7,913
 7,913
Net income (loss) available to Arch      620,257
 (979) 619,278
Preferred dividends      (46,041) 
 (46,041)
Loss on redemption of preferred shares      (6,735) 
 (6,735)
Net income (loss) available to Arch common shareholders      $567,481
 $(979) $566,502
            
Underwriting Ratios           
Loss ratio76.8% 67.7% 12.7% 58.7% 82.1% 61.3%
Acquisition expense ratio15.3% 19.4% 9.5% 15.0% 24.4% 16.0%
Other operating expense ratio17.0% 12.8% 13.8% 15.1% 6.0% 14.1%
Combined ratio109.1% 99.9% 36.0% 88.8% 112.5% 91.4%
            
Goodwill and intangible assets$22,310
 $211
 $622,440
 $644,961
 $7,650
 $652,611
            
Total investable assets      $19,716,421
 $2,440,067
 $22,156,488
Total assets      29,037,004
 3,014,654
 32,051,658
Total liabilities      19,959,574
 1,846,149
 21,805,723
(1)    Certain amounts included in the gross premiums written of each segment are related to intersegment transactions. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.

(1)Certain amounts included in the gross premiums written of each segment are related to intersegment transactions. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.
(2)Certain expenses have been excluded from ‘corporate expenses’ and reflected in ‘UGC transaction costs and other.’ See ‘Comments on Regulation G’ for a further discussion of the presentation of such items.



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Table of Contents
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS




Year Ended December 31, 2019
InsuranceReinsuranceMortgageSub-TotalOtherTotal
Gross premiums written (1)$3,907,993 $2,323,223 $1,466,265 $7,695,645 $754,881 $8,138,960 
Premiums ceded(1,266,267)(720,500)(204,509)(2,189,440)(222,019)(2,099,893)
Net premiums written2,641,726 1,602,723 1,261,756 5,506,205 532,862 6,039,067 
Change in unearned premiums(244,646)(136,334)104,584 (276,396)23,827 (252,569)
Net premiums earned2,397,080 1,466,389 1,366,340 5,229,809 556,689 5,786,498 
Other underwriting income6,444 16,005 22,449 2,412 24,861 
Losses and loss adjustment expenses(1,615,475)(1,011,329)(53,513)(2,680,317)(453,135)(3,133,452)
Acquisition expenses, net(361,614)(239,032)(134,319)(734,965)(105,980)(840,945)
Other operating expenses(454,770)(141,484)(153,092)(749,346)(51,651)(800,997)
Underwriting income (loss)$(34,779)$80,988 $1,041,421 1,087,630 (51,665)1,035,965 
Net investment income491,067 136,671 627,738 
Net realized gains (losses)348,037 15,161 363,198 
Equity in net income (loss) of investments accounted for using the equity method123,672 123,672 
Other income (loss)2,233 2,233 
Corporate expenses(65,667)(65,667)
Transaction costs and other(14,444)(14,444)
Amortization of intangible assets(82,104)(82,104)
Interest expense(93,735)(27,137)(120,872)
Net foreign exchange gains (losses)(9,252)(11,357)(20,609)
Income (loss) before income taxes1,787,437 61,673 1,849,110 
Income tax (expense) benefit(155,790)(20)(155,810)
Net income (loss)1,631,647 61,653 1,693,300 
Amounts attributable to redeemable noncontrolling interests(16,909)(16,909)
Amounts attributable to nonredeemable noncontrolling interests(40,072)(40,072)
Net income (loss) available to Arch1,631,647 4,672 1,636,319 
Preferred dividends(41,612)(41,612)
Net income (loss) available to Arch common shareholders$1,590,035 $4,672 $1,594,707 
Underwriting Ratios
Loss ratio67.4 %69.0 %3.9 %51.3 %81.4 %54.2 %
Acquisition expense ratio15.1 %16.3 %9.8 %14.1 %19.0 %14.5 %
Other operating expense ratio19.0 %9.6 %11.2 %14.3 %9.3 %13.8 %
Combined ratio101.5 %94.9 %24.9 %79.7 %109.7 %82.5 %
Goodwill and intangible assets$289,021 $2,516 $438,896 $730,433 $7,650 $738,083 
Total investable assets$22,285,676 $2,704,589 $24,990,265 
Total assets34,374,468 3,510,893 37,885,361 
Total liabilities22,977,636 2,592,173 25,569,809 
(1)    Certain amounts included in the gross premiums written of each segment are related to intersegment transactions. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.


 Year Ended December 31, 2016
 Insurance Reinsurance Mortgage Sub-Total Other Total
Gross premiums written (1)$3,027,049
 $1,494,397
 $499,725
 $5,019,363
 $535,094
 $5,202,134
Premiums ceded(954,768) (440,541) (108,259) (1,501,760) (21,306) (1,170,743)
Net premiums written2,072,281
 1,053,856
 391,466
 3,517,603
 513,788
 4,031,391
Change in unearned premiums1,623
 2,376
 (104,750) (100,751) (45,818) (146,569)
Net premiums earned2,073,904
 1,056,232
 286,716
 3,416,852
 467,970
 3,884,822
Other underwriting income
 36,403
 17,024
 53,427
 3,746
 57,173
Losses and loss adjustment expenses(1,359,313) (475,762) (28,943) (1,864,018) (321,581) (2,185,599)
Acquisition expenses, net(304,050) (212,258) (21,790) (538,098) (129,527) (667,625)
Other operating expenses (2)(350,260) (142,616) (96,672) (589,548) (25,163) (614,711)
Underwriting income (loss)$60,281
 $261,999
 $156,335
 478,615
 (4,555) 474,060
            
Net investment income      277,193
 89,549
 366,742
Net realized gains (losses)      69,586
 68,000
 137,586
Net impairment losses recognized in earnings      (30,442) 
 (30,442)
Equity in net income (loss) of investment funds accounted for using the equity method      48,475
 
 48,475
Other income (loss)      (800) 
 (800)
Corporate expenses (2)      (49,396) 
 (49,396)
UGC transaction costs and other (2)      (41,729) 
 (41,729)
Amortization of intangible assets      (19,343) 
 (19,343)
Interest expense      (53,464) (12,788) (66,252)
Net foreign exchange gains (losses)      31,409
 5,242
 36,651
Income before income taxes      710,104
 145,448
 855,552
Income tax (expense) benefit      (31,375) 1
 (31,374)
Net income      678,729
 145,449
 824,178
Dividends attributable to redeemable noncontrolling interests      
 (18,349) (18,349)
Amounts attributable to nonredeemable noncontrolling interests      
 (113,091) (113,091)
Net income available to Arch      678,729
 14,009
 692,738
Preferred dividends      (28,070) 
 (28,070)
Net income available to Arch common shareholders      $650,659
 $14,009
 $664,668
            
Underwriting Ratios           
Loss ratio65.5% 45.0% 10.1% 54.6% 68.7% 56.3%
Acquisition expense ratio14.7% 20.1% 7.6% 15.7% 27.7% 17.2%
Other operating expense ratio16.9% 13.5% 33.7% 17.3% 5.4% 15.8%
Combined ratio97.1% 78.6% 51.4% 87.6% 101.8% 89.3%
            
Goodwill and intangible assets$25,206
 $956
 $747,741
 $773,903
 $7,650
 $781,553
            
Total investable assets      $18,636,189
 $1,857,763
 $20,493,952
Total assets      26,989,359
 2,382,750
 29,372,109
Total liabilities      18,855,858
 1,205,126
 20,060,984
(1)Certain amounts included in the gross premiums written of each segment are related to intersegment transactions. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.
(2)Certain expenses have been excluded from ‘corporate expenses’ and ‘other operating expenses’ and reflected in ‘UGC transaction costs and other.’ See ‘Comments on Regulation G’ for a further discussion of the presentation of such items.




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Table of Contents
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS




Year Ended December 31, 2018
InsuranceReinsuranceMortgageSub-TotalOtherTotal
Gross premiums written (1)$3,262,332 $1,912,522 $1,360,708 $6,534,423 $735,015 $6,961,004 
Premiums ceded(1,050,207)(539,950)(202,833)(1,791,851)(130,840)(1,614,257)
Net premiums written2,212,125 1,372,572 1,157,875 4,742,572 604,175 5,346,747 
Change in unearned premiums(6,464)(111,356)28,361 (89,459)(25,313)(114,772)
Net premiums earned2,205,661 1,261,216 1,186,236 4,653,113 578,862 5,231,975 
Other underwriting income(682)13,033 12,351 2,722 15,073 
Losses and loss adjustment expenses(1,520,680)(846,882)(81,289)(2,448,851)(441,255)(2,890,106)
Acquisition expenses, net(349,702)(211,280)(118,595)(679,577)(125,558)(805,135)
Other operating expenses(364,138)(133,350)(142,432)(639,920)(37,889)(677,809)
Underwriting income (loss)$(28,859)$69,022 $856,953 897,116 (23,118)873,998 
Net investment income437,958 125,675 563,633 
Net realized gains (losses)(287,258)(120,915)(408,173)
Equity in net income (loss) of investments accounted for using the equity method45,641 45,641 
Other income (loss)2,419 2,419 
Corporate expenses(58,608)(58,608)
Transaction costs and other(11,386)(9,000)(20,386)
Amortization of intangible assets(105,670)(105,670)
Interest expense(101,019)(19,465)(120,484)
Net foreign exchange gains (losses)58,711 10,691 69,402 
Income (loss) before income taxes877,904 (36,132)841,772 
Income tax benefit(113,924)(27)(113,951)
Net income763,980 (36,159)727,821 
Amounts attributable to redeemable noncontrolling interests(18,357)(18,357)
Amounts attributable to nonredeemable noncontrolling interests48,507 48,507 
Net income (loss) available to Arch763,980 (6,009)757,971 
Preferred dividends(41,645)(41,645)
Loss on redemption of preferred shares(2,710)(2,710)
Net income (loss) available to Arch common shareholders$719,625 $(6,009)$713,616 
Underwriting Ratios
Loss ratio68.9 %67.1 %6.9 %52.6 %76.2 %55.2 %
Acquisition expense ratio15.9 %16.8 %10.0 %14.6 %21.7 %15.4 %
Other operating expense ratio16.5 %10.6 %12.0 %13.8 %6.5 %13.0 %
Combined ratio101.3 %94.5 %28.9 %81.0 %104.4 %83.6 %
Goodwill and intangible assets$114,012 $$513,258 $627,270 $7,650 $634,920 
Total investable assets$19,566,861 $2,757,663 $22,324,524 
Total assets28,845,473 3,372,856 32,218,329 
Total liabilities19,518,395 2,262,255 21,780,650 
(1)    Certain amounts included in the gross premiums written of each segment are related to intersegment transactions. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.

 Year Ended December 31, 2015
 Insurance Reinsurance Mortgage Sub-Total Other Total
Gross premiums written (1)$2,944,018
 $1,419,022
 $295,557
 $4,656,723
 $488,899
 $4,797,163
Premiums ceded(898,347) (380,614) (28,064) (1,305,151) (22,940) (979,632)
Net premiums written2,045,671
 1,038,408
 267,493
 3,351,572
 465,959
 3,817,531
Change in unearned premiums(863) 38,727
 (53,383) (15,519) (68,107) (83,626)
Net premiums earned2,044,808
 1,077,135
 214,110
 3,336,053
 397,852
 3,733,905
Other underwriting income1,993
 10,606
 18,430
 31,029
 4,468
 35,497
Losses and loss adjustment expenses(1,292,647) (440,350) (40,247) (1,773,244) (277,659) (2,050,903)
Acquisition expenses, net(296,040) (222,470) (30,817) (549,327) (113,451) (662,778)
Other operating expenses(354,416) (155,811) (78,142) (588,369) (14,919) (603,288)
Underwriting income (loss)$103,698
 $269,110
 $83,334
 456,142
 (3,709) 452,433
            
Net investment income      271,680
 76,410
 348,090
Net realized gains (losses)      (99,133) (86,709) (185,842)
Net impairment losses recognized in earnings      (20,116) 
 (20,116)
Equity in net income (loss) of investment funds accounted for using the equity method      25,455
 
 25,455
Other income (loss)      (399) 
 (399)
Corporate expenses      (49,745) 
 (49,745)
Amortization of intangible assets      (22,926) 
 (22,926)
Interest expense      (41,518) (4,356) (45,874)
Net foreign exchange gains (losses)      62,624
 3,494
 66,118
Income (loss) before income taxes      582,064
 (14,870) 567,194
Income tax benefit      (40,612) 
 (40,612)
Net income (loss)      541,452
 (14,870) 526,582
Dividends attributable to redeemable noncontrolling interests      
 (18,828) (18,828)
Amounts attributable to nonredeemable noncontrolling interests      
 29,984
 29,984
Net income (loss) available to Arch      541,452
 (3,714) 537,738
Preferred dividends      (21,938) 
 (21,938)
Net income (loss) available to Arch common shareholders      $519,514
 $(3,714) $515,800
            
Underwriting Ratios           
Loss ratio63.2% 40.9% 18.8% 53.2% 69.8% 54.9%
Acquisition expense ratio14.5% 20.7% 14.4% 16.5% 28.5% 17.8%
Other operating expense ratio17.3% 14.5% 36.5% 17.6% 3.7% 16.2%
Combined ratio95.0% 76.1% 69.7% 87.3% 102.0% 88.9%
            
Goodwill and intangible assets$28,810
 $1,875
 $66,846
 $97,531
 $
 $97,531
            
Total investable assets      $14,644,831
 $1,696,107
 $16,340,938
Total assets      21,016,599
 2,122,332
 23,138,931
Total liabilities      14,956,274
 1,072,102
 16,028,376
(1)Certain amounts included in the gross premiums written of each segment are related to intersegment transactions. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.





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Table of Contents
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS




The following tables provide summary information regarding net premiums written and earned by major line of business and net premiums written by underwriting location:
INSURANCE SEGMENTYear Ended December 31,
202020192018
Net premiums earned (1)
Property, energy, marine and aviation$517,247 $298,966 $205,069 
Professional Lines (2)655,872499,224458,425
Programs432,854414,103389,186
Construction and national accounts387,934325,687322,440
Excess and surplus casualty (3)270,620200,615172,424
Travel, accident and health190,944305,085297,147
Lenders products114,68766,07994,248
Other (4)301,262287,321266,722
Total$2,871,420 $2,397,080 $2,205,661 
Net premiums written by underwriting location (1)
United States$2,158,415 $1,983,476 $1,736,651 
Europe856,572559,214401,974
Other147,920 99,036 73,500 
Total$3,162,907 $2,641,726 $2,212,125 
INSURANCE SEGMENTYear Ended December 31,
2017 2016 2015
Net premiums written (1)     
Professional lines (2)$452,748
 $440,149
 $434,024
Programs386,618
 330,322
 423,157
Construction and national accounts
327,648
 328,997
 299,463
Travel, accident and health247,738
 224,380
 160,132
Excess and surplus casualty (3)
179,511
 214,863
 204,856
Property, energy, marine and aviation172,240
 175,376
 203,186
Lenders products96,867
 105,650
 106,916
Other (4)259,070
 252,544
 213,937
Total$2,122,440
 $2,072,281
 $2,045,671
      
Net premiums earned (1)     
Professional lines (2)$444,137
 $431,391
 $424,968
Programs364,639
 357,715
 446,512
Construction and national accounts
324,517
 322,072
 296,828
Travel, accident and health257,358
 219,169
 153,578
Excess and surplus casualty (3)
195,154
 219,046
 208,091
Property, energy, marine and aviation173,779
 188,938
 216,127
Lenders products97,043
 98,517
 90,906
Other (4)256,391
 237,056
 207,798
Total$2,113,018
 $2,073,904
 $2,044,808
      
Net premiums written by client location (1)     
United States$1,744,560
 $1,718,415
 $1,710,918
Europe185,365
 173,423
 187,020
Asia and Pacific100,062
 93,752
 64,638
Other92,453
 86,691
 83,095
Total$2,122,440
 $2,072,281
 $2,045,671
      
Net premiums written by underwriting location (1)     
United States$1,715,467
 $1,690,208
 $1,673,867
Europe344,836
 327,034
 317,998
Other62,137
 55,039
 53,806
Total$2,122,440
 $2,072,281
 $2,045,671
(1)(1)    Insurance segment results include premiums written and earned assumed through intersegment transactions and exclude premiums written and earned ceded through intersegment transactions.
(2)Includes professional liability, executive assurance and healthcare business.
(3)Includes casualty and contract binding business.
(4)Includes alternative markets, excess workers' compensation and surety business.


(2)     Includes professional liability, executive assurance and healthcare business.
(3)    Includes casualty and contract binding business.
ARCH CAPITAL1182017 FORM 10-K
(4)    Includes alternative markets, excess workers' compensation and surety business.


Table of Contents
REINSURANCE SEGMENTYear Ended December 31,
202020192018
Net premiums earned (1)
Property excluding property catastrophe$562,208 $362,841 $287,788 
Property catastrophe237,73690,93475,249
Other Specialty (2)626,409478,517474,568
Casualty (3)549,056429,288347,034
Marine and aviation109,62448,27439,238
Other (4)77,19656,53537,339
Total$2,162,229 $1,466,389 $1,261,216 
Net premiums written by underwriting location (1)
United States$687,622 $529,943 $413,550 
Bermuda1,001,990578,618487,523 
Europe and other767,758494,162471,499 
Total$2,457,370 $1,602,723 $1,372,572 
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES(1)    Reinsurance segment results include premiums assumed through intersegment transactions and exclude premiums ceded through intersegment transactions.
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



REINSURANCE SEGMENTYear Ended December 31,
2017
2016
2015
Net premiums written (1)     
Other specialty (2)$459,213
 $348,852
 $298,794
Casualty (3)340,429
 305,252
 303,093
Property excluding property catastrophe (4)243,693
 267,548
 280,511
Property catastrophe70,155
 75,789
 91,620
Marine and aviation32,759
 37,790
 50,834
Other (5)28,225
 18,625
 13,556
Total$1,174,474
 $1,053,856
 $1,038,408
      
Net premiums earned (1)     
Other specialty (2)$408,566
 $329,994
 $311,307
Casualty (3)341,122
 300,160
 310,249
Property excluding property catastrophe (4)255,453
 282,018
 295,487
Property catastrophe73,300
 73,803
 96,865
Marine and aviation36,214
 52,579
 50,808
Other (5)27,966
 17,678
 12,419
Total$1,142,621
 $1,056,232
 $1,077,135
      
Net premiums written (1)     
Pro rata$708,694
 $558,671
 $537,556
Excess of loss465,780
 495,185
 500,852
Total$1,174,474
 $1,053,856
 $1,038,408
      
Net premiums earned (1)     
Pro rata$657,490
 $561,986
 $563,585
Excess of loss485,131
 494,246
 513,550
Total$1,142,621
 $1,056,232
 $1,077,135
      
Net premiums written by client location (1)     
United States$439,229
 $448,763
 $470,484
Europe466,750
 337,168
 307,165
Bermuda89,004
 74,347
 80,888
Asia and Pacific86,133
 111,821
 94,609
Other93,358
 81,757
 85,262
Total$1,174,474
 $1,053,856
 $1,038,408
      
Net premiums written by underwriting location (1)     
United States$399,379
 $432,683
 $439,190
Bermuda350,681
 277,625
 281,985
Europe and other424,414
 343,548
 317,233
Total$1,174,474
 $1,053,856
 $1,038,408
(1)Reinsurance segment results include premiums written and earned assumed through intersegment transactions and exclude premiums written and earned ceded through intersegment transactions.
(2)    Includes proportional motor, surety, accident and health, workers’ compensation catastrophe, agriculture, trade credit and other.
(3)    Includes executive assurance, professional liability, workers’ compensation, excess motor, healthcare and other.
(4)    Includes life, casualty clash and other.


(3)Includes executive assurance, professional liability, workers’ compensation, excess motor, healthcare and other.
(4)Includes facultative business.
(5)Includes life, casualty clash and other.



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MORTGAGE SEGMENTYear Ended December 31,
202020192018
Net premiums earned by underwriting location
United States$1,158,563 $1,134,849 $1,009,765 
Other239,372 231,491 176,471 
Total$1,397,935 $1,366,340 $1,186,236 
Net premiums written by underwriting location
United States$1,021,950 $1,032,868 $948,323 
Other257,900 228,888 209,552 
Total$1,279,850 $1,261,756 $1,157,875 

OTHER SEGMENTYear Ended December 31,
202020192018
Net premiums earned (1)
Casualty (2)$245,272 $246,894 $277,589 
Other specialty (3)186,717 185,547 204,485 
Property catastrophe23,037 13,399 10,998 
Property excluding property catastrophe1,130 3,503 2,802 
Marine and aviation429 
Other (4)103,766 107,346 82,988 
Total$560,351 $556,689 $578,862 
Net premiums written by underwriting location (1)
United States$115,471 $127,176 $49,800 
Europe97,753 52,065 91,635 
Bermuda324,365 353,621 462,740 
Total$537,589 $532,862 $604,175 
(1)    Other segment results include premiums assumed through intersegment transactions and exclude premiums ceded through intersegment transactions.
(2)    Includes professional liability, excess motor, programs and other.
(3)    Includes proportional motor and other.
(4)    Includes mortgage, US programs and other.

 Year Ended December 31,
MORTGAGE SEGMENT2017 2016 2015
Net premiums written by client location     
United States$1,005,437
 $280,509
 $193,617
Other105,905
 110,957
 73,876
Total$1,111,342
 $391,466
 $267,493
      
Net premiums written by underwriting location     
United States$903,329
 $186,826
 $125,317
Other208,013
 204,640
 142,176
Total$1,111,342
 $391,466
 $267,493
      
Net premiums earned by client location     
United States$1,014,439
 $265,527
 $202,930
Other42,727
 21,189
 11,180
Total$1,057,166
 $286,716
 $214,110
      
Net premiums earned by underwriting location     
United States$901,858
 $155,929
 $113,062
Other155,308
 130,787
 101,048
Total$1,057,166
 $286,716
 $214,110


OTHER SEGMENTYear Ended December 31,
2017 2016 2015
Net premiums written (1)     
Casualty (2)$311,742
 $329,149
 $333,679
Other specialty (3)166,848
 106,086
 99,606
Property catastrophe12,455
 11,462
 12,441
Property excluding property catastrophe1,976
 701
 2,892
Marine and aviation1,139
 1,709
 1,256
Other (4)58,957
 64,681
 16,085
Total$553,117
 $513,788
 $465,959
      
Net premiums earned (1)     
Casualty (2)$333,275
 $320,767
 $285,067
Other specialty (3)135,855
 101,768
 92,229
Property catastrophe12,690
 11,421
 12,540
Property excluding property catastrophe1,392
 1,436
 1,340
Marine and aviation1,024
 1,811
 1,585
Other (4)47,491
 30,767
 5,091
Total$531,727
 $467,970
 $397,852
      
Net premiums written by client location (1)     
United States$283,314
 $344,445
 $350,228
Europe178,110
 97,459
 67,279
Bermuda83,594
 68,945
 39,414
Other8,099
 2,939
 9,038
Total$553,117
 $513,788
 $465,959
(1)Other segment results include premiums written and earned assumed through intersegment transactions and exclude premiums written and earned ceded through intersegment transactions.
(2)Includes professional liability, excess motor, programs and other.
(3)Includes proportional motor and other.
(4)Includes mortgage and other.



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6.5.    Reserve for Losses and Loss Adjustment Expenses


The following table represents an analysis of losses and loss adjustment expenses and a reconciliation of the beginning and ending reserve for losses and loss adjustment expenses:
Year Ended December 31,
202020192018
Reserve for losses and loss adjustment expenses at beginning of year$13,891,842 $11,853,297 $11,383,792 
Unpaid losses and loss adjustment expenses recoverable4,082,650 2,814,291 2,464,910 
Net reserve for losses and loss adjustment expenses at beginning of year9,809,192 9,039,006 8,918,882 
Net incurred losses and loss adjustment expenses relating to losses occurring in:
Current year4,851,051 3,297,037 3,162,818 
Prior years(161,452)(163,585)(272,712)
Total net incurred losses and loss adjustment expenses4,689,599 3,133,452 2,890,106 
Net losses and loss adjustment expense reserves of acquired business (1)209,486 
Retroactive reinsurance transactions182,210 (225,500)(420,404)
Foreign exchange (gains) losses and other179,190 36,003 (143,414)
Net paid losses and loss adjustment expenses relating to losses occurring in:
Current year(661,529)(621,202)(524,048)
Prior years(1,999,588)(1,762,053)(1,682,116)
Total net paid losses and loss adjustment expenses(2,661,117)(2,383,255)(2,206,164)
Net reserve for losses and loss adjustment expenses at end of year12,199,074 9,809,192 9,039,006 
Unpaid losses and loss adjustment expenses recoverable4,314,855 4,082,650 2,814,291 
Reserve for losses and loss adjustment expenses at end of year$16,513,929 $13,891,842 $11,853,297 
 Year Ended December 31,
 2017 2016 2015
Reserve for losses and loss adjustment expenses at beginning of year$10,200,960
 $9,125,250
 $9,036,448
Unpaid losses and loss adjustment expenses recoverable2,083,575
 1,828,837
 1,778,303
Net reserve for losses and loss adjustment expenses at beginning of year8,117,385
 7,296,413
 7,258,145
      
Net incurred losses and loss adjustment expenses relating to losses occurring in:     
Current year3,205,428
 2,455,563
 2,336,026
Prior years(237,982) (269,964) (285,123)
Total net incurred losses and loss adjustment expenses2,967,446
 2,185,599
 2,050,903
      
Net losses and loss adjustment expense reserves of acquired business (1)
 551,096
 262
      
Foreign exchange (gains) losses186,963
 (102,367) (143,653)
      
Net paid losses and loss adjustment expenses relating to losses occurring in:     
Current year(505,424) (445,700) (454,179)
Prior years(1,847,488) (1,367,656) (1,415,065)
Total net paid losses and loss adjustment expenses(2,352,912) (1,813,356) (1,869,244)
      
Net reserve for losses and loss adjustment expenses at end of year8,918,882
 8,117,385
 7,296,413
Unpaid losses and loss adjustment expenses recoverable2,464,910
 2,083,575
 1,828,837
Reserve for losses and loss adjustment expenses at end of year$11,383,792
 $10,200,960
 $9,125,250
(1)    Primarily related to the acquisition of Barbican. See Note 2.
(1)The 2016 amount related to the acquisition of UGC.


2017Development on Prior Year Reserve DevelopmentLoss Reserves
Year Ended December 31, 2020
During 2017,2020, the Company recorded estimated net favorable development on prior year loss reserves of $238.0$161.5 million, which consisted of $165.4net favorable development of $7.8 million from the insurance segment, $134.0 million from the reinsurance segment, $8.6 million from the insurance segment and $95.0$19.0 million from the mortgage segment, less adverse development of $31.0and $0.7 million from the ‘other’ segment.
The insurance segment’s net favorable development of $7.8 million, or 0.3 points of net earned premium, consisted of $83.0 million of net favorable development in short-tailed and long-tailed lines partially offset by $75.2 million of net adverse development from medium-tailed lines. Net favorable development of $33.6 million in short-tailed lines reflected $21.6 million of favorable development from property (excluding marine), primarily from the 2015 to 2018 accident years, (i.e., the year in which a loss occurred) and $8.4 million of favorable development on travel and accident, primarily from the 2019 accident year. Net favorable development of $49.4 million in long-tailed lines included $38.8 million of favorable development related to other
business, including alternative markets and excess workers’ compensation, across all accident years, and $9.3 million of favorable development related to construction business. Net adverse development in medium-tailed lines reflected $37.9 million of adverse development in surety business, primarily from the 2019 accident year, $23.1 million in contract binding business, primarily from the 2016 to 2019 accident years, and $16.0 million in program business, primarily from the 2016 to 2019 accident years.
The reinsurance segment’s net favorable development of $165.4$134.0 million, or 14.56.2 points of net earned premium, consisted of $101.0 million from short-tailed lines and $64.4$155.9 million of net favorable development from short-tailed and medium-tailed andlines, partially offset by $21.9 million of net adverse development from long-tailed lines. FavorableNet favorable development of $144.0 million in short-tailed lines included $82.6reflected $87.7 million fromrelated to property catastrophe and property other than property catastrophe reserves,business, primarily from the 20092015 to 20162019 underwriting years (i.e.(i.e., losses attributable to contracts having an inception or renewal date within the given twelve-month period)., and $53.6 million from other specialty lines, across most underwriting years. The net reduction of loss estimates for

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the reinsurance segment’s short-tailed lines primarily resulted from varying levels of reported and paid claims activity than previously anticipated which led to decreases in certain loss ratio selections during 2020. Adverse development in long-tailed lines reflected an increase in casualty reserves, primarily from the 2012 to 2015 underwriting years.
The mortgage segment’s net favorable development of $19.0 million, or 1.4 points of net earned premium, included $16.2 million of favorable development on U.S. primary mortgage insurance business. Such development was primarily driven by subrogation recoveries on second lien business and student loan business.
Year Ended December 31, 2019
During 2019, the Company recorded estimated net favorable development on prior year loss reserves of $163.6 million, which consisted of net favorable development of $15.8 million from the insurance segment, $46.4 million from the reinsurance segment and $125.2 million from the mortgage segment, partially offset by $23.8 million of net adverse development from the ‘other’ segment.
The insurance segment’s net favorable development of $15.8 million, or 0.7 points of net earned premium, consisted of $54.9 million of net favorable development from short-tailed lines and $39.1 million of net adverse development from medium-tailed and long-tailed lines. Net favorable development in short-tailed lines primarily resulted from lenders products and property (including special risk other than marine) reserves across all accident years, partially offset by net adverse development in travel business, primarily from the 2018 accident year. Net adverse development in medium-tailed and long-tailed lines of $39.1 million was primarily due to net adverse development of $33.6 million in contract binding business, primarily from the 2013 to 2017 accident years, and $30.1 million in programs, primarily from the 2014 and 2018 accident years. Such amounts were partially offset by net favorable development of $19.3 million in professional liability business, primarily from the 2013 to 2016 accident years, and $15.8 million in surety business, primarily from the 2014 to 2016 accident years.
The reinsurance segment’s net favorable development of $46.4 million, or 3.2 points of net earned premium, consisted of $70.5 million of net favorable development from short-tailed lines and $16.0 million of net favorable development from medium-tailed lines, partially offset by $40.1 million of net adverse development from long-tailed lines. Favorable development in short-tailed lines included $33.7 million from property catastrophe and property other than property catastrophe reserves, primarily from the 2017 and 2018 underwriting years and $40.8 million in other specialty, primarily from 2016 to 2018 underwriting years. The net
reduction of loss estimates for the reinsurance segment’s short-tailed lines primarily resulted from varying levels of reported and paid claims activity than previously anticipated which led to decreases in certain loss ratio selections during 2017.2019. Net favorable development of $64.4$16.0 million in medium-tailed and long-tailed lines included reductions in casualty reserves of $43.7 million, primarily from the 2002 to
2013 underwriting years, and in marine and aviation reserves, primarily from the 2011 to 2017 underwriting years. Net adverse development in long-tailed lines of $19.6$40.1 million spread across mostwas primarily due to net adverse development of $44.5 million in casualty business, primarily from the 2013 to 2018 underwriting years.
The mortgage segment’s net favorable development of $125.2 million, or 9.2 points of net earned premium, included $117.1 million of favorable development on U.S. primary mortgage insurance business. Such development was primarily driven by lower than expected claim rates on first lien business and subrogation recoveries on second lien business.
Year Ended December 31, 2018
During 2018, the Company recorded estimated net favorable development on prior year loss reserves of $272.7 million, which consisted of $24.4 million from the insurance segment, $138.5 million from the reinsurance segment, $107.6 million from the mortgage segment and $2.2 million from the ‘other’ segment.
The insurance segment’s net favorable development of $8.6$24.4 million, or 4.01.1 points of net earned premium, consisted of $14.9$48.4 million of net favorable development from short-tailed lines and $11.8$26.3 million of net favorable development from long-tailed lines, partially offset by $18.1$50.3 million of net adverse development from medium-tailed lines. Favorable development in short-tailed lines predominantly consisted of $22.8$50.1 million of net favorable development in property lines, primarily from the 20112010 to 20162017 accident years, (i.e., the year in which a loss occurred), partially offset by $11.8$5.0 million of adverse development on travel, accident and health business from the 20142013 to 20162017 accident years. Net favorable development in long-tailed lines of $11.8$26.3 million included $10.0$19.7 million of net favorable development on executive assurance business, primarily from the 20132015 accident year, and $8.3$1.4 million of net favorable development in casualty business, primarily from the 20072009 to 20132015 accident years. Net adverse development in medium-tailedmedium tailed lines of $18.1$50.3 million included $56.3 million ofwas primarily due to net adverse development in programcontract binding business primarily from thefor accident years 2013 to 2015 accident years2017.
The reinsurance segment’s net favorable development of $138.5 million, or 11.0 points of net earned premium, consisted of $110.4 million from short-tailed lines and primarily driven by a few inactive programs that were non-renewed$28.1 million from medium-tailed and long-tailed lines. Favorable development in 2015short-tailed lines included $80.8 million from property catastrophe and early in 2016, partially offset by $36.2 million of netproperty other than property



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favorable development in professional liability business, primarily from the 2010 to 2016 accident years.
The mortgage segment’s net favorable development of $95.0 million, or 9.0 points of net earned premium, for 2017, included $89.3 million of favorable development on U.S. primary mortgage business. Such development was primarily driven by lower than expected claim emergence across most origination years and also reflected $33.8 million related to second lien and other portfolios, primarily due to subrogation recoveries.
2016 Prior Year Reserve Development
During 2016, the Company recorded estimated net favorable development on prior year loss reserves of $270.0 million, which consisted of $218.8 million from the reinsurance segment, $33.1 million from the insurance segment, $21.2 million from the mortgage segment less adverse development of $3.1 million from the ‘other’ segment.
The reinsurance segment’s net favorable development of $218.8 million, or 20.7 points of net earned premium, consisted of $133.8 million from short-tailed lines and $85.0 million of net favorable development from medium-tailed and long-tailed lines. Favorable development in short-tailed lines included $113.6 million from property catastrophe and property other than property catastrophe reserves, primarily from the 20092008 to 20152017 underwriting years. The net reduction of loss estimates for the reinsurance segment’s short-tailed lines primarily resulted from varying levels of reported and paid claims activity than previously anticipated which led to decreases in certain loss ratio selections during 2016.2018. Net favorable development of $85.0$28.1 million in medium-tailed and long-tailed lines included reductions in casualty reserves of $86.1$12.5 million, primarily from the 2002 to 20132010 underwriting years, and in marine and aviation reserves of $15.6 million, spread across most underwriting years.
The insurance segment’s net favorable development of $33.1 million, or 1.6 points of net earned premium, consisted of $8.7 million of net favorable development from short-tailed lines and $24.4 million of net favorable development from medium-tailed and long-tailed lines. Favorable development in short-tailed lines predominantly consisted of $17.2 million of net favorable development in property lines, primarily from the 2008 to 2014 accident years, partially offset by $11.1 million of adverse development on travel, accident and health business from the 2012 to 2015 accident years. Net favorable development in medium-tailed and long-tailed lines of $24.4 million included $53.8 million of net favorable development on professional lines, primarily from the 2008 to 2012 accident years, partially offset by $33.1 million of net adverse development in program business, primarily from the 2013 to 2015 accident years. The adverse development in program business was primarily driven by a few inactive programs that were non-renewed in 2015 and early in 2016.
The mortgage segment’s net favorable development of $21.2$107.6 million, or 7.49.1 points of net earned premium, for 2016, included $18.5$103.4 million of favorable development on U.S. primary mortgage business, reflecting a decrease in the number of delinquent loans and a lower claim rate on such loans.insurance business. Such development was primarily from the 2004 to 2008driven by lower than expected claim rates on first lien business and 2014 origination years. The mortgage segment also experienced net favorable development of $2.7 millionsubrogation recoveries on U.S. mortgage reinsurancesecond lien business.
2015 Prior Year Reserve DevelopmentRetroactive Reinsurance Transactions
During 2015,In 2020, the Company recorded estimated net favorable development onentered into a reinsurance-to-close agreement related to a third party arrangement covering the 2017 and prior year loss reservesyears of $285.1 million,account for certain London syndicate business. In 2019, the Company entered into a retroactive reinsurance transaction with third party reinsurer to reinsure run-off liabilities associated with certain U.S. insurance exposures, which consisted of $224.8 million fromwas commuted in 2020. In 2018, the Company entered into a retroactive reinsurance segment, $47.2 million from thetransaction with third party reinsurers to reinsure run-off liabilities associated with certain U.S. insurance segment, $12.3 million from the mortgage segment and $0.8 million from the ‘other’ segment.exposures.
The reinsurance segment’s net favorable development of $224.8 million, or 20.9 points of net earned premium, consisted of $107.6 million from short-tailed lines and $117.2 million of net favorable development from medium-tailed and long-tailed lines. Favorable development in short-tailed lines included $80.9 million from property catastrophe and property other than property catastrophe reserves, primarily from the 2011 to 2014 underwriting years. The net reduction of loss estimates for the reinsurance segment’s short-tailed lines primarily resulted from varying levels of reported and paid claims activity than previously anticipated which led to decreases in certain loss ratio selections during 2015. Net favorable development of $117.2 million in medium-tailed and long-tailed lines included reductions in casualty reserves of $99.7 million, primarily from the 2003 to 2006 underwriting years and the 2008 and 2009 underwriting years, and marine and aviation reserves of $11.7 million, primarily from the 2008 to 2012 underwriting years. The balance of net favorable development was spread across various lines and underwriting years.
The insurance segment’s net favorable development of $47.2 million, or 2.3 points of net earned premium, consisted of $27.3 million of net favorable development from short-tailed lines and $19.9 million of net favorable development from medium-tailed and long-tailed lines. Favorable development in short-tailed lines predominantly consisted of $32.4 million of net favorable development in property lines, primarily from the 2011 to 2014 accident years. Net favorable development in medium-tailed and long-tailed lines of $19.9 million included $29.7 million of net favorable development on professional lines, primarily from the 2005 to 2010 accident years, partially offset by $15.0 million of net adverse development in program business, primarily from the 2013 and 2014 accident years.
The mortgage segment’s net favorable development of $12.3 million, or 5.7 points of net earned premium, included $11.1 million of favorable development on U.S. primary mortgage


6.    Short Duration Contracts
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business, reflecting a decrease in the number of delinquent loans and a lower claim rate on such loans. Such development was primarily from the 2003 to 2008 origination years. The mortgage segment also experienced net favorable development of $1.2 million on U.S. mortgage reinsurance business.
7.    Short Duration Contracts

The Company’s reserves for losses and loss adjustment expenses primarily relate to short-duration contracts with various characteristics (e.g., type of coverage, geography, claims duration). The Company considered such information in determining the level of disaggregation for disclosures related to its short-duration contracts, as detailed in the table below:
Reportable segmentLevel of disaggregationIncluded lines of business
InsuranceProperty energy, marine and aviationProperty energy, marine and aviation
Third party occurrence business
Excess and surplus casualty (excluding contract binding); construction and national accounts; and other (including alternative market risks, excess workers’ compensation and employer’s liability insurance coverages)
Third party claims-made businessProfessional lines
Multi-line and other specialty
Programs; contract binding (part of excess and surplus casualty); travel, accident and health; lenders products; and other (contract and commercial surety coverages)
ReinsuranceCasualtyCasualty
Property catastropheProperty catastrophe
Property excluding property catastropheProperty excluding property catastrophe
Marine and aviationMarine and aviation
Other specialtyOther specialty
MortgageDirect mortgage insurance in the U.S.Mortgage insurance on U.S. primary exposures
The Company determined the following to be insignificant for disclosure purposes: (i) amounts included in the ‘other’ segment (i.e., Watford Re)) as described in Note 4;note 12, “Variable Interest Entity and Noncontrolling Interests”; (ii) certain mortgage business, including non-U.S. primary business, second lien and student loan exposures, global mortgage reinsurance and participation in various GSE credit risk-sharing products; andproducts, (iii) certain reinsurance business, including casualty clash and non-traditional lines.lines and (iv) amounts associated with Barbican’s reserves for underwriting years 2018 and prior. Such amounts are included as reconciling items.
The Company is required to establish reserves for losses and loss adjustment expenses (“Loss Reserves”) that arise from the business the Company underwrites. Loss Reserves for the
insurance, reinsurance and mortgage segments represent estimates of future amounts required to pay losses and loss adjustment expenses for insured or reinsured events which have occurred at or before the balance sheet date. Loss Reserves do not reflect contingency reserve allowances to account for future loss occurrences. Losses arising from future events will be estimated and recognized at the time the losses are incurred and could be substantial.
Insurance Segment
Loss Reserves for the insurance segment are comprised of (1) estimated amounts for (1) reported losses (“case reserves”) and (2) incurred but not reported losses (“IBNR reserves”). Generally, claims personnel determine whether to establish a

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case reserve for the estimated amount of the ultimate settlement of individual claims. The estimate reflects the judgment of claims personnel based on general corporate reserving practices, the experience and knowledge of such personnel regarding the nature and value of the specific type of claim and, where appropriate, advice of counsel. The Company also contracts with a number of outside third party administrators in the claims process who, in certain cases, have limited authority to establish case reserves. The work of such administrators is reviewed and monitored by our claims personnel. Loss Reserves are also established to provide for loss adjustment expenses and represent the estimated expense of settling claims, including legal and other fees and the general expenses of administering the claims adjustment process. Periodically, adjustments to the case reserves may be made as additional information is reported or payments are made. IBNR reserves are established to provide for incurred claims which have not yet been reported at the balance sheet date as well as to adjust for any projected variance in case reserving. Actuaries estimate ultimate losses and loss adjustment expenses using various generally accepted actuarial methods applied to known losses and other relevant information. Like case reserves, IBNR reserves are adjusted as additional information becomes known or payments are made. The process of estimating reserves involves a considerable degree of judgment by management and, as of any given date, is inherently uncertain.
Ultimate losses and loss adjustment expenses are generally determined by extrapolation of claim emergence and settlement patterns observed in the past that can reasonably be expected to persist into the future. In forecasting ultimate losses and loss adjustment expenses with respect to any line of business, past experience with respect to that line of business is the primary resource, developed through both industry and company experience, but cannot be relied upon in isolation. Uncertainties in estimating ultimate losses and loss adjustment expenses are magnified by the length of the time lag between when a claim actually occurs and when it is reported and settled. This time lag is sometimes referred to as the “claim-tail.” During this period additional facts regarding coverages written in prior accident years, as well as about actual claims and trends, may


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become known and, as a result, may lead to adjustments of the related Loss Reserves. If the Company determines that an adjustment is appropriate, the adjustment is recorded in the accounting period in which such determination is made. Accordingly, should Loss Reserves need to be increased or decreased in the future from amounts currently established, future results of operations would be negatively or positively impacted respectively. The Company authorizes managing general agents, general agents and other producers to write program business on the Company’s behalf within prescribed underwriting authorities. This delegated authority process introduces additional complexity to the actuarial determination of unpaid future
losses and loss adjustment expenses. In order to monitor adherence to the underwriting guidelines given to such parties, the Company periodically performs underwriting and claims due diligence reviews.
In determining ultimate losses and loss adjustment expenses, the cost to indemnify claimants, provide needed legal defense and other services for insureds and administer the investigation and adjustment of claims are considered. These claim costs are influenced by many factors that change over time, such as expanded coverage definitions as a result of new court decisions, inflation in costs to repair or replace damaged property, inflation in the cost of medical services and legislated changes in statutory benefits, as well as by the particular, unique facts that pertain to each claim. As a result, the rate at which claims arose in the past and the costs to settle them may not always be representative of what will occur in the future. The factors influencing changes in claim costs are often difficult to isolate or quantify and developments in paid and incurred losses from historical trends are frequently subject to multiple and conflicting interpretations. Changes in coverage terms or claims handling practices may also cause future experience and/or development patterns to vary from the past. A key objective of actuaries in developing estimates of ultimate losses and loss adjustment expenses, and resulting IBNR reserves, is to identify aberrations and systemic changes occurring within historical experience and adjust for them so that the future can be projected more reliably. Because of the factors previously discussed, this process requires the substantial use of informed judgment and is inherently uncertain.
Although Loss Reserves are initially determined based on underwriting and pricing analyses, the Company’s insurance segment applies several generally accepted actuarial methods, as discussed below, on a quarterly basis to evaluate the Loss Reserves, in addition to the expected loss method, in particular for Loss Reserves from more mature accident years (the year in which a loss occurred). Each quarter, as part of the reserving process, the segments’ actuaries reaffirm that the assumptions used in the reserving process continue to form a sound basis for the projection of liabilities. If actual loss activity differs substantially from expectations based on historical information, an adjustment to Loss Reserves may be supported. The Company places more or less reliance on a particular actuarial
method based on the facts and circumstances at the time the estimates of Loss Reserves are made.
These methods generally fall into one of the following categories or are hybrids of one or more of the following categories:
Expected loss methods - these methods are based on the assumption that ultimate losses vary proportionately with premiums. Expected loss and loss adjustment expense

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ratios are typically developed based upon the information derived by underwriters and actuaries during the initial pricing of the business, supplemented by industry data available from organizations, such as statistical bureaus and consulting firms, where appropriate. These ratios consider, among other things, rate increases and changes in terms and conditions that have been observed in the market. Expected loss methods are useful for estimating ultimate losses and loss adjustment expenses in the early years of long-tailed lines of business, when little or no paid or incurred loss information is available, and is commonly applied when limited loss experience exists for a company.
Historical incurred loss development methods - these methods assume that the ratio of losses in one period to losses in an earlier period will remain constant in the future. These methods use incurred losses (i.e., the sum of cumulative historical loss payments plus outstanding case reserves) over discrete periods of time to estimate future losses. Historical incurred loss development methods may be preferable to historical paid loss development methods because they explicitly take into account open cases and the claims adjusters’ evaluations of the cost to settle all known claims. However, historical incurred loss development methods necessarily assume that case reserving practices are consistently applied over time. Therefore, when there have been significant changes in how case reserves are established, using incurred loss data to project ultimate losses may be less reliable than other methods.
Historical paid loss development methods - these methods, like historical incurred loss development methods, assume that the ratio of losses in one period to losses in an earlier period will remain constant. These methods use historical loss payments over discrete periods of time to estimate future losses and necessarily assume that factors that have affected paid losses in the past, such as inflation or the effects of litigation, will remain constant in the future. Because historical paid loss development methods do not use incurred losses to estimate ultimate losses, they may be more reliable than the other methods that use incurred losses in situations where there are significant changes in how incurred losses are established by a company’s claims adjusters. However, historical paid loss development methods are more leveraged (meaning that small changes


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in payments have a larger impact on estimates of ultimate losses) than actuarial methods that use incurred losses because cumulative loss payments take much longer to equal the expected ultimate losses than cumulative incurred amounts. In addition, and for similar reasons, historical paid loss development methods are often slow to react to situations when new or different factors arise than those that have affected paid losses in the past.
Adjusted historical paid and incurred loss development methods - these methods take traditional historical paid and incurred loss development methods and adjust them for the estimated impact of changes from the past in factors such as inflation, the speed of claim payments or the adequacy of case reserves. Adjusted historical paid and incurred loss development methods are often more reliable methods of predicting ultimate losses in periods of significant change, provided the actuaries can develop methods to reasonably quantify the impact of changes. As such, these methods utilize more judgment than historical paid and incurred loss development methods.
Bornhuetter-Ferguson (“B-F”) paid and incurred loss methods - these methods utilize actual paid and incurred losses and expected patterns of paid and incurred losses, taking the initial expected ultimate losses into account to determine an estimate of expected ultimate losses. The B-F paid and incurred loss methods are useful when there are few reported claims and a relatively less stable pattern of reported losses.
Frequency-Severity methods - These methods utilize actual paid and incurred claim experience, but break the data down into its component pieces: claim counts, often expressed as a ratio to exposure or premium (frequency), and average claim size (severity). The component pieces are projected to an ultimate level and multiplied together to result in an estimate of ultimate loss. These methods are especially useful when the severity of claims can be confined to a relatively stable range of estimated ultimate average claim value.
Additional analyses - other methodologies are often used in the reserving process for specific types of claims or events, such as catastrophic or other specific major events. These include vendor catastrophe models, which are typically used in the estimation of Loss Reserves at the early stage of known catastrophic events before information has been reported to an insurer or reinsurer.
In the initial reserving process for short-tail insurance lines (consisting of property, energy, marine and aviation and other exposures including travel, accident and health and lenders products), the Company relies on a combination of the reserving methods discussed above. For catastrophe-exposed business, the reserving process also includes the usage of catastrophe models for known events and a heavy reliance on analysis of
individual catastrophic events and management judgment. The development of losses on short-tail business can be unstable, especially for policies characterized by high severity, low frequency losses. As time passes, for a given accident year, additional weight is given to the paid and incurred B-F loss development methods and eventually to the historical paid and incurred loss development methods in the reserving process. The Company

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makes a number of key assumptions in their reserving process, including that historical paid and reported development patterns are stable, catastrophe models provide useful information about our exposure to catastrophic events that have occurred and underwriters’ judgment as to potential loss exposures can be relied on. The expected loss ratios used in the initial reserving process for short-tail business have varied over time due to changes in pricing, reinsurance structure, estimates of catastrophe losses, policy changes (such as attachment points, class and limits) and geographical distribution. As losses in short-tail lines are reported relatively quickly, expected loss ratios are selected for the current accident year based upon actual attritional loss ratios for earlier accident years, adjusted for rate changes, inflation, changes in reinsurance programs and expected attritional losses based on modeling. Furthermore, ultimate losses for short-tail business are known in a reasonably short period of time.
In the initial reserving process for medium-tail and long-tail insurance lines (consisting ofthird party occurrence business, third party claims made business, and other exposures including surety, programs and contract binding exposures), the Company primarily relies on the expected loss method. The development of the Company’s medium-tail and long-tail business may be unstable, especially if there are high severity major events, as a portion of the Company’s casualty business is in high excess layers. As time passes, for a given accident year, additional weight is given to the paid and incurred B-F loss development methods and historical paid and incurred loss development methods in the reserving process. The Company makes a number of key assumptions in reserving for medium-tail and long-tail lines, including that the pricing loss ratio is the best estimate of the ultimate loss ratio at the time the policy is entered into, that the loss
development patterns, which are based on a combination of company and industry loss development patterns and adjusted to reflect differences in the insurance segment’s mix of business, are reasonable and that claims personnel and underwriters analyses of our exposure to major events are assumed to be the best estimate of exposure to the known claims on those events. The expected loss ratios used in the initial reserving process for medium-tail and long-tail business for recent accident years have varied over time, in some cases significantly, from earlier accident years. As the credibility of historical experience for earlier accident years increases, the experience from these accident years will be given a greater weighting in the actuarial analysis to determine future accident year expected loss ratios, adjusted for changes in pricing, loss trends, terms and conditions and reinsurance structure.
In 2018, the Company entered into a loss portfolio transfer and adverse development cover reinsurance agreement accounted for as retroactive reinsurance. The agreement transfers Loss Reserves and future favorable or adverse development on certain runoff programs, within multi-line and other specialty business, and certain third party occurrence business (the “Covered Lines”). As incurred losses and allocated loss adjustment expenses for the Covered Lines are ceded to the reinsurer, the Company is not exposed to changes in the amount, timing and uncertainty of cash flows arising from the Covered Lines. To avoid distortion, the incurred losses and allocated loss adjustment expenses and cumulative paid losses and loss adjustment expenses for the Covered Lines are excluded entirely from the tables below. Reinsurance recoverables at December 31, 2020 included $153.1 million related to this reinsurance agreement.



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The following tables present information on the insurance segment’s short-duration insurance contracts:
Property, energy, marine and aviation ($000’s except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2020
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2011
unaudited
2012
unaudited
2013
unaudited
2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
2011$269,739 $272,897 $231,841 $220,231 $210,926 $207,814 $200,918 $201,198 $197,833 $196,436 $689 4,219 
2012232,500 231,742 205,098 198,837 196,405 192,406 190,192 178,039 177,673 931 4,269 
2013158,718 156,344 148,800 143,046 134,620 133,544 128,301 126,968 809 4,278 
2014148,185 145,765 147,315 136,096 132,209 134,234 134,937 4,206 3,930 
2015112,333 109,799 103,944 102,469 97,809 91,788 5,249 4,618 
2016104,139 100,986 105,330 100,147 96,127 882 6,389 
2017280,695 246,272 235,932 230,421 9,327 6,752 
2018180,981 186,030 173,693 14,784 5,347 
2019179,056 178,564 20,553 6,051 
2020359,394 168,463 16,980 
Total$1,766,001 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2011$34,478 $99,724 $142,231 $167,867 $200,473 $202,347 $197,720 $198,626 $195,245 $195,347 
201220,522 92,855 138,431 161,255 166,965 179,371 180,734 172,611 173,460 
201332,239 84,759 110,548 119,791 121,922 125,156 123,036 124,369 
201425,859 53,669 77,804 84,103 87,721 98,463 115,293 
201523,567 64,916 76,299 86,214 87,887 86,207 
201624,728 83,321 98,420 97,218 94,703 
201730,219 139,854 195,518 211,694 
201830,026 102,285 134,858 
201926,130 105,380 
202055,619 
Total1,296,930 
All outstanding liabilities before 2011, net of reinsurance23,517 
Liabilities for losses and loss adjustment expenses, net of reinsurance$492,588 
Third party occurrence business ($000’s except claim count)Third party occurrence business ($000’s except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2020
Property, energy, marine and aviation ($000’s except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsurance December 31, 2017
   Total of IBNR liabilities plus expected development on reported claims 
Cumulative
number of reported claims
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
 Year ended December 31, Year ended December 31,
Accident year 2008
unaudited
 2009 unaudited 2010
unaudited
 2011 unaudited 2012
unaudited
 2013
unaudited
 2014
unaudited
 2015
unaudited
 2016
unaudited
 2017 Accident year2011
unaudited
2012
unaudited
2013
unaudited
2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
2008 $342,098
 $333,686
 $314,637
 $300,508
 $299,861
 $290,993
 $285,126
 $281,811
 $285,067
 $287,032
 $1,973
 4,381
2009   256,250
 259,982
 231,557
 220,486
 206,060
 199,705
 197,824
 192,701
 191,662
 1,562
 3,616
2010     198,659
 188,515
 152,886
 140,554
 129,278
 129,624
 128,199
 126,563
 1,300
 3,656
2011       268,853
 272,041
 231,308
 219,908
 210,468
 210,445
 205,792
 1,351
 4,193
2011$234,068 $240,669 $254,181 $258,784 $252,615 $253,976 $247,052 $239,676 $234,782 $235,073 $35,138 70,924 
2012         232,056
 231,903
 204,993
 198,706
 197,277
 193,321
 5,663
 4,230
2012241,062 262,718 268,365 271,035 257,418 252,822 242,930 243,484 241,378 50,208 65,495 
2013           158,989
 156,460
 148,557
 142,493
 135,975
 4,828
 4,224
2013282,968 296,839 306,751 301,789 281,786 274,391 272,528 269,437 60,720 66,685 
2014             148,814
 145,829
 149,054
 138,940
 21,416
 3,845
2014329,809 335,720 338,623 342,868 339,495 343,995 342,731 77,547 74,964 
2015               112,419
 110,507
 105,525
 17,473
 4,443
2015358,858 391,666 398,670 391,904 391,231 382,518 107,083 77,257 
2016                 105,111
 102,473
 10,023
 5,848
2016389,623 394,281 405,889 399,394 374,728 142,000 76,765 
2017                   283,457
 115,840
 4,999
2017417,183 417,748 422,441 412,318 195,684 82,267 
20182018430,216 452,975 450,736 248,271 74,789 
20192019456,059 487,224 318,622 80,934 
20202020606,827 524,473 67,541 
                 Total $1,770,740
    Total$3,802,970 
                        
Cumulative paid losses and allocated loss adjustment expenses, net of reinsuranceCumulative paid losses and allocated loss adjustment expenses, net of reinsurance    Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2008 $50,328
 $129,186
 $200,305
 $225,227
 $256,437
 $261,696
 $263,747
 $263,050
 $263,329
 $264,060
    
2009   38,452
 116,418
 143,390
 159,997
 169,290
 173,725
 177,793
 178,152
 178,770
    
2010     28,509
 66,229
 88,019
 106,365
 111,465
 118,513
 120,608
 120,006
    
2011       34,319
 99,454
 141,402
 167,127
 199,986
 204,924
 202,538
    2011$7,020 $25,276 $43,479 $73,448 $113,502 $134,622 $152,756 $160,609 $172,940 $181,505 
2012         20,502
 92,663
 138,099
 161,070
 167,692
 180,202
    20126,966 30,824 58,444 83,328 108,252 129,572 143,177 154,282 162,202 
2013           32,041
 84,306
 110,166
 118,910
 122,972
    20136,845 29,230 71,370 101,196 122,120 149,098 164,187 174,700 
2014             25,748
 53,495
 78,600
 85,659
    20149,209 40,263 71,519 112,591 161,993 191,168 211,503 
2015               23,468
 65,157
 77,241
    201511,119 44,542 88,443 139,403 181,566 211,573 
2016                 24,919
 84,581
    201611,689 41,938 87,565 136,793 164,573 
2017                   30,635
    201713,396 52,323 99,827 135,025 
2018201817,002 63,798 115,076 
2019201918,392 73,120 
2020202024,439 
         Total  1,346,664
    Total1,453,716 
         All outstanding liabilities before 2008, net of reinsurance  5,898
    All outstanding liabilities before 2011, net of reinsurance209,031 
       Liabilities for losses and loss adjustment expenses, net of reinsurance  $429,974
    Liabilities for losses and loss adjustment expenses, net of reinsurance$2,558,285 
Third party occurrence business ($000’s except claim count)
  Incurred losses and allocated loss adjustment expenses, net of reinsurance December 31, 2017
    Total of IBNR liabilities plus expected development on reported claims 
Cumulative
number of reported claims
  Year ended December 31,  
Accident year 2008
unaudited
 2009 unaudited 2010
unaudited
 2011 unaudited 2012
unaudited
 2013
unaudited
 2014
unaudited
 2015
unaudited
 2016
unaudited
 2017  
2008 $278,283
 $282,364
 $281,294
 $279,642
 $298,194
 $303,315
 $306,439
 $302,951
 $300,907
 $309,202
 $34,070
 36,315
2009   273,205
 268,831
 270,615
 271,924
 275,531
 276,737
 267,700
 263,175
 261,663
 43,633
 51,319
2010     248,528
 266,875
 262,303
 261,937
 264,774
 262,961
 260,346
 251,452
 48,387
 63,402
2011       261,257
 268,249
 283,774
 288,999
 282,716
 286,277
 280,762
 61,506
 71,823
2012         265,476
 288,301
 292,560
 294,291
 280,531
 275,881
 93,816
 66,360
2013           293,920
 309,790
 318,836
 316,113
 298,195
 118,746
 67,103
2014             331,802
 338,081
 342,384
 346,244
 168,257
 75,314
2015               360,217
 395,234
 401,768
 228,728
 76,796
2016                 390,892
 397,778
 291,483
 74,522
2017                   418,036
 380,920
 61,461
                  Total $3,240,981
    
     
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance    
2008 $6,233
 $21,705
 $50,097
 $85,737
 $119,496
 $165,098
 $190,562
 $204,324
 $218,691
 $234,190
    
2009   5,678
 21,625
 47,108
 82,685
 122,643
 153,248
 171,268
 183,719
 192,239
    
2010     6,848
 27,000
 50,500
 81,261
 117,939
 137,677
 158,050
 171,928
    
2011       7,085
 26,867
 48,183
 81,927
 126,169
 151,558
 177,379
    
2012         7,079
 31,827
 62,392
 89,182
 117,305
 141,642
    
2013           7,098
 30,362
 73,512
 105,358
 130,875
    
2014             9,476
 40,863
 72,525
 113,952
    
2015               11,237
 45,615
 89,832
    
2016                 11,702
 44,207
    
2017                   13,406
    
          Total  1,309,650
    
          All outstanding liabilities before 2008, net of reinsurance  98,833
    
        Liabilities for losses and loss adjustment expenses, net of reinsurance  $2,030,164
    



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Third party claims-made business ($000’s except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2020
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2011
unaudited
2012
unaudited
2013
unaudited
2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
2011$287,607 $330,898 $322,274 $317,074 $322,934 $301,240 $288,038 $289,974 $291,477 $290,124 $4,594 11,762 
2012317,360 319,961 318,161 313,622 291,010 275,388 277,388 284,875 285,236 13,772 14,760 
2013301,715 320,387 324,167 320,284 294,465 290,961 281,751 271,262 15,306 14,543 
2014264,354 279,544 298,715 278,706 281,513 297,485 291,729 29,279 13,935 
2015258,817 277,437 276,328 259,902 255,276 252,329 29,255 13,817 
2016275,119 291,377 308,195 314,515 321,850 61,156 15,734 
2017270,523 285,993 311,980 308,401 82,537 15,923 
2018272,844 314,412 319,956 123,386 14,988 
2019289,463 317,668 186,452 18,871 
2020383,914 327,587 21,538 
Total$3,042,469 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2011$13,740 $72,365 $130,424 $175,139 $208,665 $228,450 $240,267 $254,300 $269,579 $276,887 
201217,709 69,020 121,112 164,605 190,200 209,097 227,179 251,078 255,098 
201319,015 87,408 137,890 179,302 197,907 217,030 238,798 245,504 
201413,815 63,296 129,502 172,835 207,640 229,512 243,338 
20159,061 52,019 100,048 126,452 174,108 193,130 
201610,547 68,178 127,229 158,159 205,514 
20179,289 67,572 113,047 143,149 
201812,255 68,300 118,184 
201912,387 65,345 
202017,098 
Total1,763,247 
All outstanding liabilities before 2011, net of reinsurance97,957 
Liabilities for losses and loss adjustment expenses, net of reinsurance$1,377,179 
Multi-line and other specialty ($000’s except claim count) (1)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2020
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2011
unaudited
2012
unaudited
2013
unaudited
2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
2011$183,081 $188,766 $182,979 $176,545 $172,649 $172,403 $168,888 $170,350 $170,091 $166,577 $1,790 44,989 
2012253,525 264,217 258,467 256,106 255,277 247,050 247,279 244,191 244,246 2,551 55,512 
2013274,361 283,112 274,483 281,697 271,687 275,386 273,177 270,853 4,661 72,323 
2014349,754 373,978 370,442 387,082 398,240 410,366 418,512 12,232 111,727 
2015398,755 418,761 420,642 443,258 456,329 471,865 18,596 151,598 
2016482,653 504,586 514,650 516,239 537,591 28,282 177,931 
2017551,688 579,217 578,341 615,833 45,947 221,643 
2018570,069 621,534 629,299 74,894 247,622 
2019613,638 667,415 134,996 234,383 
2020654,302 403,044 117,814 
Total$4,676,493 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2011$51,312 $103,372 $117,927 $136,686 $148,049 $151,710 $157,199 $159,526 $162,460 $162,995 
201278,337 165,836 190,064 209,124 222,929 231,776 232,987 236,282 239,244 
201386,791 152,773 185,611 222,086 237,898 251,698 257,744 260,374 
2014109,236 206,444 255,332 306,411 341,580 367,026 380,041 
2015142,009 250,360 304,197 350,781 380,818 409,455 
2016181,415 323,681 382,805 425,642 464,774 
2017187,606 363,275 419,454 480,336 
2018214,475 399,852 464,970 
2019213,950 397,104 
2020174,862 
Total3,434,155 
All outstanding liabilities before 2011, net of reinsurance31,453 
Liabilities for losses and loss adjustment expenses, net of reinsurance$1,273,791 
(1) In 2019, the Company entered into a loss portfolio transfer agreement, which transferred reserves associated with certain multi-line business for accident years 2017 and prior to a third party. This loss portfolio transfer agreement was commuted in 2020, therefore the complete history of the subject business is now included in the multi-line triangles above.
Third party claims-made business ($000’s except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsurance December 31, 2017
    Total of IBNR liabilities plus expected development on reported claims 
Cumulative
number of reported claims
  Year ended December 31,  
Accident year 2008
unaudited
 2009 unaudited 2010
unaudited
 2011 unaudited 2012
unaudited
 2013
unaudited
 2014
unaudited
 2015
unaudited
 2016
unaudited
 2017  
2008 $326,344
 $380,158
 $391,971
 $397,864
 $383,508
 $394,166
 $397,483
 $385,827
 $373,924
 $365,413
 $8,263
 9,140
2009   288,072
 323,359
 313,043
 311,581
 306,875
 306,889
 309,987
 306,203
 304,159
 9,205
 10,910
2010     289,396
 315,244
 336,798
 342,670
 335,768
 318,926
 302,938
 291,327
 19,771
 12,335
2011       284,961
 327,623
 319,230
 313,824
 319,354
 300,172
 292,332
 34,161
 11,712
2012         314,017
 316,819
 314,818
 309,949
 288,426
 279,911
 42,710
 14,544
2013           299,609
 317,560
 321,195
 319,418
 299,194
 75,577
 13,994
2014             262,969
 277,812
 299,922
 282,886
 79,059
 13,219
2015               257,183
 279,590
 281,031
 132,145
 13,323
2016                 277,541
 295,844
 160,040
 15,300
2017                   274,527
 224,115
 12,371
                  Total $2,966,624
    
                         
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance    
2008 $18,826
 $74,174
 $132,721
 $175,437
 $210,488
 $235,920
 $248,340
 $286,493
 $291,913
 $292,598
    
2009   11,418
 55,701
 108,805
 150,949
 188,347
 203,205
 237,204
 246,875
 251,702
    
2010     13,971
 71,297
 128,921
 164,107
 199,653
 216,353
 231,200
 241,035
    
2011       13,639
 71,797
 129,221
 173,497
 206,608
 226,667
 243,228
    
2012         17,531
 68,125
 119,653
 162,636
 186,520
 212,019
    
2013           18,777
 86,512
 136,262
 177,048
 200,876
    
2014             13,702
 62,817
 129,095
 174,852
    
2015               8,957
 52,176
 101,643
    
2016                 10,644
 68,904
    
2017                   9,397
    
          Total  1,796,254
    
          All outstanding liabilities before 2008, net of reinsurance  94,246
    
        Liabilities for losses and loss adjustment expenses, net of reinsurance  $1,264,616
    
Multi-line and other specialty ($000’s except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsurance December 31, 2017
    Total of IBNR liabilities plus expected development on reported claims 
Cumulative
number of reported claims
  Year ended December 31,  
Accident year 2008
unaudited
 2009 unaudited 2010
unaudited
 2011 unaudited 2012
unaudited
 2013
unaudited
 2014
unaudited
 2015
unaudited
 2016
unaudited
 2017  
2008 $228,750
 $246,842
 $240,896
 $237,743
 $237,782
 $232,710
 $231,985
 $228,847
 $227,998
 $226,269
 $4,583
 39,947
2009   287,455
 297,410
 292,302
 286,205
 277,500
 278,581
 273,199
 270,529
 262,856
 4,718
 40,158
2010     257,953
 263,470
 252,313
 256,766
 248,777
 244,157
 243,183
 242,440
 7,597
 44,325
2011       272,539
 285,840
 284,566
 285,771
 286,014
 284,299
 280,741
 10,045
 54,533
2012         381,207
 395,058
 396,245
 396,090
 396,844
 389,279
 16,298
 68,049
2013           400,828
 416,785
 412,528
 435,766
 448,309
 24,100
 85,508
2014             495,095
 529,670
 535,028
 571,128
 48,415
 124,746
2015               526,703
 545,738
 555,746
 80,967
 139,767
2016                 540,699
 566,047
 143,653
 175,566
2017                   574,401
 296,812
 156,337
                  Total $4,117,216
    
                         
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance    
2008 $62,274
 $119,634
 $135,970
 $165,075
 $185,746
 $194,954
 $205,046
 $209,195
 $212,041
 $215,400
    
2009   75,808
 140,605
 184,199
 207,502
 220,646
 243,587
 249,349
 253,226
 252,680
    
2010     62,874
 118,378
 151,587
 186,890
 207,073
 215,542
 221,494
 227,939
    
2011       70,742
 146,999
 180,843
 218,510
 242,123
 252,116
 261,470
    
2012         98,509
 220,377
 282,856
 319,491
 343,797
 361,402
    
2013           106,585
 208,103
 268,829
 327,952
 372,287
    
2014             137,388
 274,923
��356,986
 445,002
    
2015               168,341
 305,372
 390,423
    
2016                 197,384
 354,907
    
2017                   195,435
    
          Total  3,076,945
    
          All outstanding liabilities before 2008, net of reinsurance  41,039
    
        Liabilities for losses and loss adjustment expenses, net of reinsurance  $1,081,310
    



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The following table presents the average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance, as of December 31, 2017:2020:
 Average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsuranceAverage annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance
 Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Year 7 Year 8 Year 9 Year 10Year 1Year 2Year 3Year 4Year 5Year 6Year 7Year 8Year 9Year 10
Property, energy, marine and aviation 18.7% 35.9% 18.6% 9.7% 7.0% 3.7% 0.8% (0.2)% 0.2% 0.3%Property, energy, marine and aviation18.6 %41.7 %19.6 %7.8 %3.9 %3.3 %2.3 %(1.0)%(0.6)%0.1 %
Third party occurrence business 2.6% 7.6% 10.2% 11.7% 12.5% 10.4% 8.1% 4.9 % 4.0% 5.0%Third party occurrence business3.2 %9.2 %11.3 %11.6 %11.3 %8.8 %6.2 %3.9 %4.3 %3.6 %
Third party claims-made business 4.6% 18.0% 18.6% 14.0% 10.3% 6.7% 6.3% 5.7 % 1.5% 0.2%Third party claims-made business4.5 %18.7 %18.4 %12.9 %12.2 %7.1 %5.8 %5.2 %3.3 %2.5 %
Multi-line and other specialty 28.0% 25.6% 13.6% 12.5% 7.8% 4.9% 3.1% 2.0 % 0.5% 1.5%Multi-line and other specialty30.8 %27.7 %10.5 %10.4 %6.7 %4.6 %2.3 %1.2 %1.5 %0.3 %
Reinsurance Segment
Loss Reserves for the Company’s reinsurance segment are comprised of (1) case reserves, (2) additional case reserves (“ACRs”) and (3) IBNR reserves. The Company receives reports of claims notices from ceding companies and records case reserves based upon the amount of reserves recommended by the ceding company. Case reserves may be supplemented by ACRs, which are oftenmay be estimated by the Company’s claims personnel ahead of official notification from the ceding company, or when judgment regarding the size or severity of the known event differs from the ceding company. In certain instances, the Company establishes ACRs even when the ceding company does not report any liability on a known event. In addition, specific claim information reported by ceding companies or obtained through claim audits can alert the Company to emerging trends such as changing legal interpretations of coverage and liability, claims from unexpected sources or classes of business, and significant changes in the frequency or severity of individual claims. Such information is often used in the process of estimating IBNR reserves. IBNR reserves are established to provide for incurred claims which have not yet been reported at the balance sheet date as well as to adjust for any projected variance in case reserving. Actuaries estimate ultimate losses and loss adjustment expenses using various generally accepted actuarial methods applied to known losses and other relevant information. Like case reserves, IBNR reserves are adjusted as additional information becomes known or payments are made. The process of estimating Loss Reserves involves a considerable degree of judgment by management and, as of any given date, is inherently uncertain.
The estimation of Loss Reserves for the reinsurance segment is subject to the same risk factors as the estimation of Loss Reserves for the insurance segment. In addition, the inherent uncertainties of estimating such reserves are even greater for reinsurers, due primarily to the following factors: (1) the claim-tail for reinsurers is generally longer because claims are first reported to the ceding company and then to the reinsurer through one or more intermediaries, (2) the reliance on premium estimates, where reports have not been received from the ceding company, in the reserving process, (3) the potential for writing a number of reinsurance contracts with different ceding companies with the same exposure to a single loss event, (4) the diversity of loss development
patterns among different types of reinsurance contracts, (5) the necessary reliance on the
ceding companies for information regarding reported claims and (6) the differing reserving practices among ceding companies.
AsUltimate losses and loss adjustment expenses are generally determined by extrapolation of claim emergence and settlement patterns observed in the past that can reasonably be expected to persist into the future.As with the insurance segment, the process of estimating Loss Reserves for the reinsurance segment involves a considerable degree of judgment by management and, as of any given date, is inherently uncertain. As discussed above, such uncertainty is greater for reinsurers compared to insurers. As a result, our reinsurance operations obtain information from numerous sources to assist in the process. Pricing actuaries from the reinsurance segment devote considerable effort to understanding and analyzing a ceding company’s operations and loss history during the underwriting of the business, using a combination of ceding company and industry statistics. Such statistics normally include historical premium and loss data by class of business, individual claim information for larger claims, distributions of insurance limits provided, loss reporting and payment patterns, and rate change history. This analysis is used to project expected loss ratios for each treaty during the upcoming contract period.
As mentioned above, there can be a considerable time lag from the time a claim is reported to a ceding company to the time it is reported to the reinsurer. The lag can be several years in some cases and may be attributed to a number of reasons, including the time it takes to investigate a claim, delays associated with the litigation process, the deterioration in a claimant’s physical condition many years after an accident occurs, the case reserving approach of the ceding company, etc. In the reserving process, the Company assumes that such lags are predictable, on average, over time and therefore the lags are contemplated in the loss reporting patterns used in their actuarial methods. This means that the reinsurance segment must rely on estimates for a longer period of time than does an insurance company. Backlogs in the recording of assumed reinsurance can also complicate the accuracy of loss reserve estimation. As of December 31, 20172020 there were no significant backlogs related to the processing of assumed reinsurance information at our reinsurance operations.

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The reinsurance segment relies heavily on information reported by ceding companies, as discussed above. In order to determine the accuracy and completeness of such information, underwriters, actuaries, and claims personnel often perform audits of ceding companies and regularly review information received from ceding companies for unusual or unexpected


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results. Material findings are usually discussed with the ceding companies. The Company sometimes encounters situations where they determine that a claim presentation from a ceding company is not in accordance with contract terms. In these situations, the Company attempts to resolve the dispute with the ceding company. Most situations are resolved amicably and without the need for litigation or arbitration. However, in the infrequent situations where a resolution is not possible, the Company will vigorously defend its position in such disputes.
Although Loss Reserves are initially determined based on underwriting and pricing analysis, the Company applies several generally accepted actuarial methods, as discussed above, on a quarterly basis to evaluate its Loss Reserves in addition to the expected loss method, in particular for reserves from more mature underwriting years (the year in which business is underwritten). Each quarter, as part of the reserving process, the Company’s actuaries reaffirm that the assumptions used in the reserving process continue to form a sound basis for projection of liabilities. If actual loss activity differs substantially from expectations based on historical information, an adjustment to Loss Reserves may be supported. Estimated Loss Reserves for more mature underwriting years are now based more on actual loss activity and historical patterns than on the initial assumptions based on pricing indications. More recent underwriting years rely more heavily on internal pricing assumptions. The Company places more or less reliance on a particular actuarial method based on the facts and circumstances at the time the estimates of Loss Reserves are made.
In the initial reserving process for short-tail reinsurance lines (consisting of property excluding property catastrophe and property catastrophe exposures), the Company relies on a combination of the reserving methods discussed above. For known catastrophic events, the reserving process also includes the usage of catastrophe models and a heavy reliance on analysis which includes ceding company inquiries and management judgment. The development of property losses may be unstable, especially where there is high catastrophic exposure, may be characterized by high severity, low frequency losses for excess and catastrophe-exposed business and may be highly correlated across contracts. As time passes, for a given underwriting year, additional weight is given to the paid and incurred B-F loss development methods and historical paid and incurred loss development
methods in the reserving process. The Company makes a number of key assumptions in reserving for short-tail lines, including that historical paid and reported development
patterns are stable, catastrophe models provide useful information about our exposure to catastrophic events that have occurred and our underwriters’ judgment and guidance received from ceding companies as to potential loss exposures may be relied on. The expected loss ratios used in the initial reserving process for property exposures have varied over time due to changes in pricing, reinsurance structure, estimates of catastrophe losses, terms and conditions and geographical distribution. As losses in property lines are reported relatively quickly, expected loss ratios are selected for the current underwriting year incorporating the experience for earlier underwriting years, adjusted for rate changes, inflation, changes in reinsurance programs, expectations about present and future market conditions and expected attritional losses based on modeling. Due to the short-tail nature of property business, reported loss experience emerges quickly and ultimate losses are known in a reasonably short period of time.
In the initial reserving process for medium-tail and long-tail reinsurance lines (consisting of casualty, other specialty, marine and aviation and other exposures), the Company primarily relies on the expected loss method. The development of medium-tail and long-tail business may be unstable, especially if there are high severity major events, with business written on an excess of loss basis typically having a longer tail than business written on a pro rata basis. As time passes, for a given underwriting year, additional weight is given to the paid and incurred B-F loss development methods and eventually to the historical paid and incurred loss development methods in the reserving process. Our reinsurance operations make a number of key assumptions in reserving for medium-tail and long-tail lines, including that the pricing loss ratio is the best estimate of the ultimate loss ratio at the time the contract is entered into, historical paid and reported development patterns are stable and claims personnel and underwritersunderwriters’ analyses of our exposure to major events are assumed to be our best estimate of our exposure to the known claims on those events. The expected loss ratios used in our reinsurance operations’ initial reserving process for medium-tail and long-tail contracts have varied over time due to changes in pricing, terms and conditions and reinsurance structure. As the credibility of historical experience for earlier underwriting years increases, the experience from these underwriting years will beis used in the actuarial analysis to determine future underwriting year expected loss ratios, adjusted for changes in pricing, loss trends, terms and conditions and reinsurance structure.



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The following tables present information on the reinsurance segment’s short-duration insurance contracts:
Casualty ($000’s)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2020
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2011
unaudited
2012
unaudited
2013
unaudited
2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
2011$152,359 $155,796 $149,799 $145,259 $141,023 $138,257 $132,142 $129,307 $130,769 $126,543 $16,905 N/A
2012145,770 143,950 139,762 127,563 117,551 111,938 120,655 123,884 122,312 28,208 N/A
2013168,738 161,993 157,804 151,340 139,221 137,591 133,857 137,978 37,566 N/A
2014219,506 224,801 222,220 236,505 233,033 242,792 243,067 48,039 N/A
2015225,908 224,525 233,644 240,886 244,861 251,747 63,133 N/A
2016217,499 229,862 254,032 268,880 275,966 65,394 N/A
2017268,353 253,959 269,434 297,998 79,858 N/A
2018282,010 296,507 286,944 81,666 N/A
2019338,581 347,126 178,981 N/A
2020393,328 333,679 N/A
Total$2,483,009 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2011$2,353 $11,509 $21,684 $38,998 $55,027 $64,486 $71,457 $76,722 $82,728 $87,463 
20121,371 8,637 14,875 25,738 36,809 48,109 59,877 70,308 76,287 
20132,549 10,050 23,209 43,263 54,797 63,415 71,150 77,089 
20143,962 16,160 40,949 63,636 91,366 114,798 135,101 
20154,490 20,340 47,381 71,231 97,007 120,889 
20165,763 25,720 51,822 86,989 114,096 
20176,441 29,414 59,377 108,591 
20187,588 31,118 106,454 
201915,824 57,682 
202017,822 
Total901,474 
All outstanding liabilities before 2011, net of reinsurance303,572 
Liabilities for losses and loss adjustment expenses, net of reinsurance$1,885,107 
Casualty ($000’s)
Incurred losses and allocated loss adjustment expenses, net of reinsurance December 31, 2017
    Total of IBNR liabilities plus expected development on reported claims 
Cumulative
number of reported claims
  Year ended December 31,  
Accident year 2008
unaudited
 2009 unaudited 2010
unaudited
 2011 unaudited 2012
unaudited
 2013
unaudited
 2014
unaudited
 2015
unaudited
 2016
unaudited
 2017  
2008 $284,807
 $291,045
 $290,375
 $284,525
 $276,674
 $274,953
 $276,071
 $272,057
 $268,307
 $266,449
 $29,569
 N/A
2009   267,280
 287,553
 305,904
 285,865
 280,815
 270,122
 253,577
 239,120
 235,781
 33,749
 N/A
2010     197,835
 198,624
 201,815
 193,171
 182,433
 171,232
 165,316
 161,187
 40,306
 N/A
2011       154,704
 158,216
 152,135
 147,428
 143,138
 140,183
 134,058
 32,068
 N/A
2012         148,782
 146,714
 142,572
 130,527
 120,206
 114,412
 42,802
 N/A
2013           170,464
 163,691
 159,723
 153,317
 141,024
 58,572
 N/A
2014             219,789
 225,116
 222,518
 236,671
 88,374
 N/A
2015               225,118
 223,789
 232,755
 103,595
 N/A
2016                 216,583
 228,972
 96,985
 N/A
2017                   267,312
 180,407
 N/A
                  Total $2,018,621
    
                         
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance    
2008 $3,588
 $22,929
 $47,551
 $73,955
 $94,295
 $132,406
 $161,446
 $183,398
 $195,919
 $207,737
    
2009   3,308
 19,575
 47,349
 74,204
 106,140
 135,759
 150,023
 160,520
 170,106
    
2010     2,231
 21,547
 39,251
 54,476
 72,794
 83,458
 94,554
 102,576
    
2011       2,343
 12,005
 22,736
 40,372
 56,663
 66,391
 73,578
    
2012         1,373
 8,929
 15,733
 27,176
 38,676
 50,266
    
2013           2,573
 10,233
 23,837
 44,473
 56,270
    
2014             3,992
 16,242
 41,257
 64,223
    
2015               4,486
 20,338
 47,362
    
2016                 5,721
 25,707
    
2017                   6,437
    
          Total  804,262
    
          All outstanding liabilities before 2008, net of reinsurance  265,408
    
        Liabilities for losses and loss adjustment expenses, net of reinsurance  $1,479,767
    


Property catastrophe ($000’s)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2020
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2011
unaudited
2012
unaudited
2013
unaudited
2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
2011$215,493 $195,232 $176,170 $162,993 $159,174 $158,465 $156,150 $152,082 $150,971 $150,459 $N/A
2012150,570 123,288 108,787 102,254 99,998 99,178 97,143 97,252 96,637 132 N/A
201369,044 49,507 37,714 33,143 30,567 29,848 28,910 29,060 (132)N/A
201446,774 32,188 26,438 23,491 21,671 20,957 20,845 (10)N/A
201534,895 19,282 12,724 6,643 4,746 4,102 67 N/A
201626,671 19,556 15,313 11,487 9,027 1,302 N/A
201782,521 49,340 46,354 32,747 87 N/A
201875,309 63,106 44,448 5,855 N/A
201951,202 35,789 9,545 N/A
2020273,069 50,368 N/A
Total$696,183 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2011$63,175 $89,042 $122,060 $137,400 $143,141 $145,774 $147,929 $148,338 $148,929 $148,403 
201225,850 70,843 83,929 90,834 92,993 94,122 94,732 95,419 95,521 
201312,283 19,701 24,911 26,953 28,859 29,117 29,119 29,846 
201413,702 20,635 19,293 20,170 19,786 19,993 20,146 
2015(3,161)(1,825)2,660 2,959 2,537 2,630 
2016(6,752)2,646 3,057 4,515 3,803 
201730,173 30,224 34,534 24,209 
201825,505 14,232 26,189 
20193,878 17,393 
202053,495 
Total421,635 
All outstanding liabilities before 2011, net of reinsurance1,624 
Liabilities for losses and loss adjustment expenses, net of reinsurance$276,172 
Property catastrophe ($000’s)
Incurred losses and allocated loss adjustment expenses, net of reinsurance December 31, 2017
    Total of IBNR liabilities plus expected development on reported claims 
Cumulative
number of reported claims
  Year ended December 31,  
Accident year 2008
unaudited
 2009 unaudited 2010
unaudited
 2011 unaudited 2012
unaudited
 2013
unaudited
 2014
unaudited
 2015
unaudited
 2016
unaudited
 2017  
2008 $148,631
 $106,096
 $121,101
 $120,270
 $120,667
 $116,249
 $114,856
 $114,481
 $114,295
 $113,798
 $231
 N/A
2009   75,227
 33,007
 20,101
 18,610
 17,460
 17,205
 16,202
 15,849
 13,739
 (158) N/A
2010     97,686
 50,159
 41,827
 41,840
 46,192
 46,592
 46,400
 46,656
 
 N/A
2011       213,931
 193,757
 174,820
 161,563
 157,745
 157,038
 154,731
 
 N/A
2012         150,630
 123,381
 108,710
 102,178
 99,931
 99,113
 165
 N/A
2013           68,712
 48,992
 37,279
 32,725
 30,149
 55
 N/A
2014             46,408
 31,865
 26,147
 23,222
 701
 N/A
2015               33,912
 18,538
 12,054
 1,895
 N/A
2016                 24,918
 18,217
 2,427
 N/A
2017                   79,714
 6,086
 N/A
                  Total $591,393
    
                         
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance    
2008 $52,629
 $79,836
 $89,405
 $98,147
 $108,720
 $112,398
 $113,113
 $113,280
 $113,338
 $113,467
    
2009   10,132
 13,647
 13,526
 15,105
 15,370
 15,374
 15,400
 15,417
 13,634
    
2010     8,868
 24,322
 32,694
 39,465
 41,601
 43,477
 44,990
 45,066
    
2011       62,695
 87,958
 120,806
 136,072
 141,788
 144,417
 146,563
    
2012         25,850
 70,849
 83,863
 90,768
 92,927
 94,056
    
2013           12,320
 19,497
 24,597
 26,570
 28,427
    
2014             13,694
 20,402
 19,027
 19,889
    
2015               (3,705) (2,495) 1,989
    
2016                 (7,176) 1,796
    
2017                   28,864
    
          Total  493,751
    
          All outstanding liabilities before 2008, net of reinsurance  870
    
        Liabilities for losses and loss adjustment expenses, net of reinsurance  $98,512
    



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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS




Property excluding property catastrophe ($000’s)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2020
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2011
unaudited
2012
unaudited
2013
unaudited
2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
2011$208,318 $180,624 $168,122 $164,414 $160,264 $158,952 $156,647 $155,606 $154,261 $152,753 $801 N/A
2012156,980 122,552 124,408 119,838 115,425 113,201 111,722 109,122 103,596 251 N/A
2013116,130 77,474 71,100 66,669 64,950 64,162 62,949 63,769 770 N/A
2014144,299 118,056 99,891 91,272 88,994 84,679 82,899 2,063 N/A
2015215,856 189,735 185,288 189,702 188,992 177,928 12,275 N/A
2016178,103 147,154 139,032 138,008 141,789 15,986 N/A
2017262,387 245,333 231,062 223,442 17,528 N/A
2018223,917 241,754 238,162 18,520 N/A
2019219,130 209,696 32,266 N/A
2020387,907 167,596 N/A
Total$1,781,941 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2011$47,949 $122,137 $142,081 $146,626 $148,684 $149,788 $150,028 $150,302 $151,322 $150,417 
201226,158 78,416 93,752 102,445 103,452 104,091 103,274 103,216 103,076 
201326,068 43,068 50,208 53,389 54,202 56,090 61,601 62,591 
201423,641 63,144 72,133 77,098 78,753 79,146 79,009 
201575,725 119,578 150,207 161,447 166,632 160,271 
201633,418 96,174 99,954 105,486 113,336 
201725,807 118,658 148,638 156,523 
201829,724 108,263 153,599 
201943,809 125,698 
2020102,474 
Total1,206,994 
All outstanding liabilities before 2011, net of reinsurance6,125 
Liabilities for losses and loss adjustment expenses, net of reinsurance$581,072 

Marine and aviation ($000’s)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2020
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2011
unaudited
2012
unaudited
2013
unaudited
2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
2011$39,359 $32,956 $35,889 $32,436 $28,811 $27,213 $27,264 $24,871 $23,792 $23,517 $1,317 N/A
201259,117 58,956 55,172 52,428 51,223 49,865 46,183 43,165 41,316 2,228 N/A
201339,538 38,509 37,545 36,101 35,993 35,248 34,806 31,087 5,039 N/A
201431,333 29,576 27,763 26,059 24,050 23,695 22,347 5,044 N/A
201534,066 37,875 31,953 31,910 30,964 28,618 4,738 N/A
201627,409 22,804 23,622 19,344 17,029 8,230 N/A
201728,868 26,407 23,878 20,853 6,783 N/A
201828,355 26,395 24,957 7,490 N/A
201949,466 55,921 17,208 N/A
202084,238 58,896 N/A
Total$349,883 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2011$4,421 $12,122 $16,530 $19,235 $15,959 $16,634 $21,988 $21,911 $21,973 $21,979 
20122,664 11,480 27,623 33,428 35,174 36,379 37,871 38,164 38,257 
20135,109 14,330 19,075 22,111 23,135 24,427 24,804 24,520 
20144,373 8,221 11,872 12,748 14,939 15,376 16,253 
201511 13,476 19,120 20,971 22,773 22,456 
2016(7,300)(1,655)552 3,292 5,900 
20171,659 6,546 9,372 11,037 
20182,006 7,087 11,384 
201911,015 21,930 
20209,339 
Total183,055 
All outstanding liabilities before 2011, net of reinsurance16,534 
Liabilities for losses and loss adjustment expenses, net of reinsurance$183,362 
Property excluding property catastrophe ($000’s)
Incurred losses and allocated loss adjustment expenses, net of reinsurance December 31, 2017
    Total of IBNR liabilities plus expected development on reported claims 
Cumulative
number of reported claims
  Year ended December 31,  
Accident year 2008
unaudited
 2009 unaudited 2010
unaudited
 2011 unaudited 2012
unaudited
 2013
unaudited
 2014
unaudited
 2015
unaudited
 2016
unaudited
 2017  
2008 $212,864
 $187,495
 $190,891
 $196,239
 $191,461
 $188,574
 $186,573
 $186,114
 $180,188
 $178,940
 $1,198
 N/A
2009   216,844
 193,877
 171,389
 164,633
 163,873
 161,800
 158,856
 149,305
 148,511
 1,092
 N/A
2010     143,002
 128,702
 118,475
 112,741
 110,802
 108,671
 104,875
 101,693
 2,004
 N/A
2011       206,719
 179,368
 166,857
 163,226
 159,084
 157,774
 155,510
 4,243
 N/A
2012         156,362
 122,033
 124,129
 119,572
 115,159
 112,936
 4,234
 N/A
2013           115,913
 77,266
 70,923
 66,552
 64,834
 5,034
 N/A
2014             144,093
 117,947
 99,784
 91,079
 8,288
 N/A
2015               214,620
 189,004
 184,637
 18,164
 N/A
2016                 177,002
 146,338
 28,121
 N/A
2017                   260,425
 80,297
 N/A
                  Total $1,444,903
    
                         
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance    
2008 $56,096
 $125,684
 $146,850
 $161,523
 $167,161
 $173,245
 $174,276
 $174,095
 $175,016
 $176,443
    
2009   66,401
 117,101
 134,441
 138,824
 140,664
 143,183
 144,290
 145,099
 146,209
    
2010     37,942
 76,757
 88,591
 93,782
 96,011
 97,169
 97,814
 98,248
    
2011       47,595
 121,216
 141,080
 145,591
 147,648
 148,751
 148,996
    
2012         26,093
 78,296
 93,524
 102,211
 103,210
 103,850
    
2013           26,066
 42,994
 50,106
 53,290
 54,097
    
2014             23,585
 63,045
 71,983
 76,939
    
2015               75,404
 119,122
 149,655
    
2016                 33,347
 95,680
    
2017                   25,242
    
          Total  1,075,359
    
          All outstanding liabilities before 2008, net of reinsurance  4,472
    
        Liabilities for losses and loss adjustment expenses, net of reinsurance  $374,016
    

Marine and aviation ($000’s)
Incurred losses and allocated loss adjustment expenses, net of reinsurance December 31, 2017
    Total of IBNR liabilities plus expected development on reported claims 
Cumulative
number of reported claims
  Year ended December 31,  
Accident year 2008
unaudited
 2009 unaudited 2010
unaudited
 2011 unaudited 2012
unaudited
 2013
unaudited
 2014
unaudited
 2015
unaudited
 2016
unaudited
 2017  
2008 $132,706
 $158,928
 $165,593
 $159,588
 $155,884
 $154,475
 $152,625
 $152,602
 $150,668
 $148,445
 $719
 N/A
2009   50,165
 41,601
 35,803
 34,107
 31,268
 30,026
 28,598
 28,355
 27,391
 1,728
 N/A
2010     40,978
 42,314
 38,537
 35,445
 33,544
 31,928
 31,177
 30,336
 678
 N/A
2011       39,350
 32,945
 35,879
 32,429
 28,804
 27,207
 27,261
 4,316
 N/A
2012         59,050
 58,926
 55,131
 52,375
 51,169
 49,815
 7,966
 N/A
2013           39,147
 38,019
 37,049
 35,641
 35,541
 9,967
 N/A
2014             31,179
 29,418
 27,630
 25,929
 8,391
 N/A
2015               33,740
 37,618
 31,828
 7,911
 N/A
2016                 27,368
 22,766
 14,599
 N/A
2017                   28,817
 18,451
 N/A
                  Total $428,129
    
                         
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance    
2008 $11,284
 $50,877
 $83,413
 $112,852
 $128,381
 $140,907
 $143,208
 $145,105
 $145,538
 $145,545
    
2009   6,921
 16,313
 19,457
 22,594
 22,698
 23,041
 23,648
 24,151
 24,251
    
2010     8,523
 13,402
 16,753
 18,479
 20,222
 26,540
 27,186
 27,548
    
2011       4,421
 12,122
 16,530
 19,234
 15,957
 16,631
 21,985
    
2012         2,662
 11,459
 27,588
 33,386
 35,129
 36,333
    
2013           5,043
 13,980
 18,713
 21,709
 22,724
    
2014             4,314
 8,159
 11,796
 12,677
    
2015               9
 13,431
 19,043
    
2016                 (7,326) (1,680)    
2017                   1,661
    
          Total  310,087
    
          All outstanding liabilities before 2008, net of reinsurance  17,414
    
        Liabilities for losses and loss adjustment expenses, net of reinsurance  $135,456
    



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Other specialty ($000’s)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2020
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2011
unaudited
2012
unaudited
2013
unaudited
2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
2011$115,554 $100,395 $96,117 $94,512 $92,703 $91,334 $90,727 $88,820 $89,163 $87,648 $1,058 N/A
2012231,531 219,627 209,355 203,114 200,945 203,898 202,085 196,309 187,908 4,635 N/A
2013259,594 232,427 222,046 218,354 219,314 216,861 216,579 210,455 10,351 N/A
2014283,138 263,653 265,417 258,595 253,373 255,341 250,825 15,127 N/A
2015217,666 208,927 207,220 204,179 204,458 201,046 19,996 N/A
2016231,160 228,501 222,788 217,054 223,777 18,179 N/A
2017282,024 271,084 260,051 259,041 40,904 N/A
2018338,298 334,567 326,027 53,316 N/A
2019378,545 358,997 80,438 N/A
2020551,374 259,496 N/A
Total$2,657,098 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2011$29,717 $59,715 $72,298 $77,018 $80,642 $82,468 $84,815 $85,960 $85,643 $85,854 
201247,484 126,138 149,753 161,073 169,096 173,202 177,742 179,614 179,943 
201358,962 122,813 149,617 166,100 175,892 181,279 188,746 189,147 
201471,006 151,115 187,560 201,189 207,965 219,234 221,978 
201556,438 118,770 143,690 150,969 160,243 168,314 
201667,730 143,624 168,425 180,542 192,947 
201776,847 171,632 201,378 209,005 
201875,395 211,954 243,257 
201984,416 167,055 
2020101,559 
Total1,759,059 
All outstanding liabilities before 2011, net of reinsurance8,956 
Liabilities for losses and loss adjustment expenses, net of reinsurance$906,995 
Other specialty ($000’s)
Incurred losses and allocated loss adjustment expenses, net of reinsurance December 31, 2017
    Total of IBNR liabilities plus expected development on reported claims 
Cumulative
number of reported claims
  Year ended December 31,  
Accident year 2008
unaudited
 2009 unaudited 2010
unaudited
 2011 unaudited 2012
unaudited
 2013
unaudited
 2014
unaudited
 2015
unaudited
 2016
unaudited
 2017  
2008 $43,813
 $37,434
 $34,099
 $30,237
 $28,288
 $30,217
 $28,783
 $28,669
 $27,691
 $27,418
 $2,185
 N/A
2009   61,515
 50,560
 45,378
 39,257
 37,133
 35,141
 36,397
 36,874
 37,888
 2,734
 N/A
2010     44,243
 33,744
 26,696
 24,401
 23,402
 23,077
 22,845
 22,587
 1,713
 N/A
2011       114,407
 99,156
 94,970
 93,396
 91,617
 90,215
 89,611
 3,001
 N/A
2012         230,125
 218,333
 208,036
 202,055
 200,025
 203,304
 21,566
 N/A
2013           259,466
 232,696
 222,481
 218,827
 220,073
 28,371
 N/A
2014             283,337
 264,072
 266,007
 258,880
 35,422
 N/A
2015               218,258
 209,337
 207,514
 39,024
 N/A
2016                 233,315
 230,646
 59,666
 N/A
2017                   294,469
 131,878
 N/A
                  Total $1,592,390
    
                         
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance    
2008 $5,324
 $14,998
 $21,037
 $22,318
 $22,985
 $24,840
 $24,207
 $24,814
 $24,867
 $24,789
    
2009   9,440
 27,981
 30,885
 30,764
 30,756
 30,652
 31,172
 31,977
 32,113
    
2010     4,193
 13,786
 17,018
 18,060
 18,861
 19,480
 19,712
 20,334
    
2011       29,027
 58,746
 71,240
 75,942
 79,549
 81,396
 83,732
    
2012         47,063
 125,181
 148,565
 159,908
 167,996
 172,326
    
2013           58,851
 122,477
 149,149
 165,824
 175,813
    
2014             71,180
 151,264
 187,952
 201,529
    
2015               57,095
 119,284
 144,104
    
2016                 68,307
 145,348
    
2017                   80,549
    
          Total  1,080,637
    
          All outstanding liabilities before 2008, net of reinsurance  9,012
    
        Liabilities for losses and loss adjustment expenses, net of reinsurance  $520,765
    
The following table presents the average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance, as of December 31, 2017:2020:
 Average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsuranceAverage annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance
 Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Year 7 Year 8 Year 9 Year 10Year 1Year 2Year 3Year 4Year 5Year 6Year 7Year 8Year 9Year 10
Casualty 1.7% 7.3% 9.7% 11.2% 10.5% 10.2% 7.3% 5.9% 4.4 % 4.4 %Casualty2.4 %7.2 %11.2 %12.2 %10.3 %8.4 %7.3 %5.7 %4.8 %3.7 %
Property catastrophe 27.2% 28.5% 13.5% 8.7% 4.6% 2.0% 1.4% 0.1% (6.5)% 0.1 %Property catastrophe20.5 %30.2 %25.1 %2.9 %(1.2)%1.4 %0.7 %1.2 %0.2 %(0.3)%
Property excluding property catastrophe 30.6% 37.8% 12.3% 5.3% 1.7% 1.5% 0.5% 0.3% 0.6 % 0.8 %Property excluding property catastrophe26.4 %39.5 %12.8 %5.2 %2.3 %0.2 %2.0 %0.6 %0.3 %(0.6)%
Marine and aviation 8.7% 25.5% 17.2% 10.1% 1.8% 7.1% 6.4% 1.4% 0.3 %  %Marine and aviation6.5 %27.2 %19.1 %10.0 %4.2 %2.2 %7.9 %(0.2)%0.2 %%
Other specialty 25.7% 35.7% 13.5% 4.7% 3.1% 2.7% 0.7% 2.4% 0.3 % (0.3)%Other specialty26.9 %33.9 %12.3 %5.2 %4.3 %3.1 %2.4 %0.8 %(0.1)%0.2 %
Mortgage Segment
The Company’s mortgage segment includes (1) direct mortgage insurance in the U.S., (2) direct mortgage insurance in Europe, (3) global mortgage reinsurance and (4) participation in various GSE credit risk-sharing products, with theproducts. The latter three categories along with second lien and student loan exposures are excluded on the basis of insignificance for the purposes of presenting disclosures related to short duration contracts.
For direct mortgage insurance business, the Company establishes case reserves for loans that have been reported as delinquent by loan servicers as well as those that are delinquent but not reported (IBNR reserves). The Company’s U.S. mortgage insurance operations also reserve for the expenses of adjusting claims related to these delinquencies. The trigger that creates a case reserve estimate is that an insured loan is reported to us as being two payments in arrears. The actuarial reviews and documentation created in the reserving process are completed in accordance with
generally accepted actuarial
standards. The selected assumptions reflect the actuary’sactuarial judgment based on the analysis of historical data and experience combined with information concerning current underwriting, economic, judicial, regulatory and other influences on ultimate claim settlements.
Because the reserving process requires the Company to forecast future conditions, it is inherently uncertain and requires significant judgment and estimation. The use of different estimates would result in the establishment of different reserve levels. Additionally, changes in accounting estimates are likely to occur from period to period as economic conditions change, and the ultimate liability may vary significantly from the estimates used. Major risk factors include (but are not limited to) changes in home prices and borrower equity, which can limit the borrower’s ability to sell the property and satisfy the outstanding loan balance, and changes in unemployment, which can affect the borrower’s income and ability to make mortgage payments. The unique nature of the COVID-19 pandemic, with no historical



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precedent, adds further uncertainty to current reserve estimates.
The lead actuarial methodology used by the Company is a frequency-severity method based on the inventory of pending delinquencies. Each month the loan servicers report the delinquency status of each insured loan. Using the frequency-severity method allows the Company to take advantage of its knowledge of the number of delinquent loans and the coverage provided (“risk size”) on those loans by directly relating the reserves to these amounts. The delinquencies are grouped into homogeneous cohorts for analysis, reflecting product type and age of delinquency. A claim rate is then developed for each cohort which represents the frequency with which the delinquencies become claims. The claim frequency rates are based on an analysis of the patterns of emerging cure counts and claim counts, the foreclosure status of the pending delinquencies, the product and geographical mix of the delinquencies and our view of future economic and claim conditions, which include trends in home prices and unemployment. Claim rates can vary materially by age of delinquency, depending on the mix of delinquencies and economic conditions.
Claim size severity estimates are determined by examining the risk sizes on the delinquent loans and estimating the portion of risk that will be paid, as well as any expenses. This is done based on a review of historical development patterns, an assessment of economic conditions and the level of equity the borrowers may have in their homes, as well as considering economic conditions and loss mitigation opportunities. Mortgage insurance is generally not subject to large claim sizes, as with some other
lines of insurance. A claim size over $250,000 is rare, and this helps reduce the volatility of claim size estimates.
The claim rate and claim size assumptions generate case reserves for the population of reported delinquencies. The reserve for unreported delinquencies (included in IBNR reserves) is estimated by looking at historical patterns of reporting. Claim rates and claim sizes can then be assigned to estimated unreported delinquencies using assumptions made in the establishment of case reserves.
Mortgage insurance Loss Reserves are short-tail, in the sense that the vast majority of delinquencies are resolved within two years of being reported. Due to the forbearances and foreclosure moratoriums associated with COVID-19, settlement timelines may be extended. While reserves are initially analyzed by reserve cohort, as described above, they are also rolled up by underwriting year to ensure that reserve assumptions are consistent with the performance of the underwriting year. The accuracy of prior reserve assumptions is also checked in hindsight to determine if adjustments to the assumptions are needed.
Loss Reserves for the Company’s mortgage reinsurance business and GSE credit-risk sharing transactions are comprised of case reserves and IBNR reserves. The Company’s mortgage reinsurance operations receive reports of delinquent loans and claims notices from ceding companies and record case reserves based upon the amount of reserves recommended by the ceding company. In addition, specific claim and delinquency information reported by ceding companies is used in the process of estimating IBNR reserves.
The tables below include the acquired business of UGC across all periods presented. Due to the length of time for which claims incurred typically remain outstanding prior to payment and the Company’s formation of the mortgage segment in 2014, the Company determined that six accident years was sufficient for its current disclosures. The following table presents information on the mortgage segment’s short-duration insurance contracts:
Direct mortgage insurance business in the U.S. ($000’s except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsurance December 31, 2017
      Total of IBNR liabilities plus expected development on reported claims 
Cumulative
number of paid claims
  Year ended December 31,  
Accident year 2012
unaudited
 2013
unaudited
 2014
unaudited
 2015
unaudited
 2016
unaudited
 2017  
2012 520,835
 480,592
 475,317
 469,238
 467,296
 459,467
 538
 14,929
2013   469,311
 419,668
 411,793
 405,809
 395,693
 639
 9,249
2014     316,095
 297,151
 279,434
 266,027
 969
 5,932
2015       222,790
 197,238
 198,001
 2,014
 3,910
2016         183,556
 170,532
 3,915
 2,004
2017           179,376
 27,163
 227
          Total $1,669,096
    
                 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance    
2012 (106,065) 186,605
 327,605
 395,695
 426,024
 441,577
    
2013   41,447
 203,957
 308,956
 353,189
 373,909
    
2014     20,099
 129,159
 201,925
 233,879
    
2015       16,159
 92,431
 151,222
    
2016         11,462
 72,201
    
2017           8,622
    
      1,281,410
    
    All outstanding liabilities before 2012, net of reinsurance 56,299
    
      $443,985
    



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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS




The tables below include the acquired business of United Guaranty Corporation (“UGC”) (including UGRIC), across all periods presented. Consistent with prior practice, the Company provides accident years 2012 and forward in the disclosures below. The following table presents information on the mortgage segment’s short-duration insurance contracts:
Direct mortgage insurance business in the U.S. ($000’s except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2020
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of paid claims
Year ended December 31,
Accident year2012
unaudited
2013
unaudited
2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
2012$520,835 $480,592 $475,317 $469,238 $467,296 $459,467 $458,065 $456,286 $456,331 15,083 
2013469,311 419,668 411,793 405,809 395,693 393,149 390,987 391,062 9,471 
2014316,095 297,151 279,434 266,027 265,992 261,091 262,682 6,290 
2015222,790 197,238 198,001 194,677 189,235 190,913 4,543 
2016183,556 170,532 148,715 140,608 142,392 3,411 
2017179,376 132,220 107,255 108,181 630 2,429 
2018132,318 96,357 89,120 1,281 1,512 
2019108,424 119,253 2,921 566 
2020420,003 15,879 32 
Total$2,179,937 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2012(106,065)186,605 327,605 395,695 426,024 441,577 448,151 452,348 453,587 
201341,447 203,957 308,956 353,189 373,909 382,200 386,853 387,894 
201420,099 129,159 201,925 233,879 247,038 254,175 256,285 
201516,159 92,431 151,222 171,337 180,321 183,472 
201611,462 72,201 113,357 127,286 131,161 
20178,622 48,112 78,650 87,317 
20183,966 31,478 50,135 
20192,899 20,105 
20201,040 
1,570,996 
All outstanding liabilities before 2012, net of reinsurance14,504 
Liabilities for losses and loss adjustment expenses, net of reinsurance$623,445 
The following table presents the average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance, as of December 31, 2017:2020:
Average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsuranceAverage annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsuranceAverage annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance
 Year 1 Year 2 Year 3 Year 4 Year 5 Year 6Year 1Year 2Year 3Year 4Year 5Year 6Year 7Year 8Year 9
U.S. Primary 2.4% 44.0% 28.6% 12.7% 5.9% 3.4%U.S. Primary3.0 %39.0 %27.8 %11.1 %4.9 %2.5 %1.1 %0.6 %0.3 %
Other Segment
Loss Reserves for the ‘other’ segment (i.e., Watford Re)Watford) are comprised of case reserves, ACRs and IBNR reserves. For all business assumed by Watford, Re, the Company acts as reinsurance underwriting manager, provides actuarial and risk management services and recommends a level of Loss Reserves to Watford Re.Watford. The Company does not guarantee or provide credit support for Watford, Re, and the Company’s financial exposure to Watford Re is limited to its investment in Watford Re’sWatford’s common and preferred shares and counterparty credit risk (mitigated by collateral) arising from the reinsurance transactions. The estimation of Loss Reserves for Watford Re is subject to the same risk factors as the estimation of Loss Reserves for the Company’s insurance, reinsurance
and mortgage segments as described earlier. Watford Re performs its own reserve reviews and sets its reserves independently. As noted previously, the Company determined that amounts in the ‘other’ segment are insignificant for the purposes of these footnote disclosures.
For the year ended December 31, 2017,2020, the Company did not make any significant changes in its methodologies or assumptions as described above (a) to determine the presented amounts of IBNR reserves, (b) for expected development on case reserves.
The Company measures claim frequency information on an individual claim count basis. Claim counts are provided for the insurance and mortgage segments, where reliable

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

information is available. For insurance business, any claim which is reported to the Company is included in the count, even if it is subsequently settled without liability to the Company. The Company does not include claim count information for losses from U.S. insurance pool business where individual loss information is unavailable and impracticable to obtain. For mortgage business, only delinquencies which subsequently become claims are included in the claim count. For reinsurance business, claim counts are not provided. A significant amount of the Company’s reinsurance business is written on a proportional basis, for which individual loss information is typically unavailable and impracticable to obtain.
For the year ended December 31, 2017,2020, the Company did not make any significant changes in its methodologies or assumptions as described above to calculate the cumulative claim frequency.
The following table represents a reconciliation of the disclosures of net incurred and paid loss development tables to the reserve for losses and loss adjustment expenses at December 31, 2017:
 December 31, 2017
Net outstanding liabilities 
Insurance 
Property, energy, marine and aviation$429,974
Third party occurrence business2,030,164
Third party claims-made business1,264,616
Multi-line and other specialty1,081,310
Reinsurance 
Casualty1,479,767
Property catastrophe98,512
Property excluding property catastrophe374,016
Marine and aviation135,456
Other specialty520,765
Mortgage 
U.S. primary443,985
Other short duration lines not included in disclosures887,624
Total for short duration lines8,746,189
  
Unpaid losses and loss adjustment expenses recoverable 
Insurance 
Property, energy, marine and aviation345,188
Third party occurrence business980,850
Third party claims-made business681,664
Multi-line and other specialty138,586
Reinsurance 
Casualty433,139
Property catastrophe208,417
Property excluding property catastrophe54,473
Marine and aviation25,506
Other specialty76,962
Mortgage 
U.S. primary27,448
Other short duration lines not included in disclosures26,605
Intercompany eliminations(539,519)
Total for short duration lines2,459,319
  
Lines other than short duration26,744
Discounting(20,016)
Unallocated claims adjustment expenses171,556
 178,284
  
Total gross reserves for losses and loss adjustment expenses$11,383,792


2020:
ARCH CAPITAL134December 31, 2020
Net outstanding liabilities2017 FORM 10-K
Insurance
Property, energy, marine and aviation$492,588 
Third party occurrence business2,558,285 
Third party claims-made business1,377,179 
Multi-line and other specialty1,273,791 
Reinsurance
Casualty1,885,107 
Property catastrophe276,172 
Property excluding property catastrophe581,072 
Marine and aviation183,362 
Other specialty906,995 
Mortgage
U.S. primary623,445 
Other short duration lines not included in disclosures (1)1,765,397 
Total for short duration lines11,923,393
Unpaid losses and loss adjustment expenses recoverable
Insurance
Property, energy, marine and aviation331,817 
Third party occurrence business1,272,034 
Third party claims-made business808,238 
Multi-line and other specialty246,915 
Reinsurance
Casualty536,809 
Property catastrophe266,946 
Property excluding property catastrophe70,108 
Marine and aviation63,781 
Other specialty317,011 
Mortgage
U.S. primary52,016 
Other short duration lines not included in disclosures (2)1,090,486 
Intercompany eliminations(718,507)
Total for short duration lines4,337,654
Lines other than short duration75,369 
Discounting(23,326)
Unallocated claims adjustment expenses200,839 
252,882
Total gross reserves for losses and loss adjustment expenses$16,513,929

(1)    Includes net outstanding liabilities of $1.2 billion for the ‘other’ segment.
(2)    Includes unpaid loss and loss adjustment expenses recoverable of $153.1 million related to the loss portfolio transfer reinsurance agreement.


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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS




7.    Allowance for Expected Credit Losses
Premiums Receivable
The following table provides a roll forward of the allowance for expected credit losses of the Company’s premium receivables:
December 31, 2020
Premium Receivables, Net of AllowanceAllowance for Expected Credit Losses
Balance at beginning of period$1,778,717 $21,003 
Cumulative effect of accounting change (1)6,539 
Change for provision of expected credit losses (2)10,239 
Balance at end of period$2,064,586 $37,781 
(1) Adoption of ASU 2016-13, “Financial Instruments - Credit Losses (Topic 326)” See note 3.
(2) Amounts deemed uncollectible are written-off in operating expenses. For the 2020 period, amounts written off totaled $2.8 million.
Reinsurance Recoverables
The Company monitors the financial condition of its reinsurers and attempts to place coverages only with substantial, financially sound carriers. Although the Company has not experienced any material credit losses to date, an inability of its reinsurers or retrocessionaires to meet their obligations to it over the relevant exposure periods for any reason could have a material adverse effect on its financial condition and results of operations.
The following table provides a roll forward of the allowance for expected credit losses of the Company’s reinsurance recoverables:
December 31, 2020
Reinsurance Recoverables, Net of AllowanceAllowance for Expected Credit Losses
Balance at beginning of period$4,346,816 $1,364 
Cumulative effect of accounting change (1)12,010 
Change for provision of expected credit losses(1,738)
Balance at end of period$4,500,802 $11,636 
(1) Adoption of ASU 2016-13, “Financial Instruments - Credit Losses (Topic 326)” See note 3.


The following table summarizes the Company’s reinsurance recoverables on paid and unpaid losses (not including ceded unearned premiums) at December 31, 2020 and 2019:
December 31,
20202019
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses$4,500,802$4,346,816
% due from carriers with A.M. Best rating of “A-” or better63.9 %61.2 %
% due from all other carriers with no A.M. Best rating (1)36.1 %38.8 %
Largest balance due from any one carrier as % of total shareholders’ equity1.8 %1.7 %
(1)    Over 94% of such amount is collateralized through reinsurance trusts, funds withheld arrangements, letters of credit or other.
Contractholder Receivables
The following table provides a roll forward of the allowance for expected credit losses of the Company’s contractholder receivables:
December 31, 2020
Contractholder Receivables, Net of AllowanceAllowance for Expected Credit Losses
Balance at beginning of period$2,119,460 $
Cumulative effect of accounting change (1)6,663 
Change for provision of expected credit losses1,975 
Balance at end of period$1,986,924 $8,638 
(1) Adoption of ASU 2016-13, “Financial Instruments - Credit Losses (Topic 326)” See note 3.
8.    Reinsurance
In the normal course of business, the Company’s insurance subsidiaries cede a portion of their premium through pro rata and excess of loss reinsurance agreements on a treaty or facultative basis. The Company’s reinsurance subsidiaries participate in “common account” retrocessional arrangements for certain pro rata treaties. Such arrangements reduce the effect of individual or aggregate losses to all companies participating on such treaties, including the reinsurers, such as the Company’s reinsurance subsidiaries, and the ceding company. In addition, the Company’s reinsurance subsidiaries may purchase retrocessional coverage as part of their risk management program. The Company’s mortgage subsidiaries cede a portion of their premium through quota share arrangements and enter into various aggregate excess of loss mortgage reinsurance agreements with various special purpose reinsurance companies. Reinsurance recoverables are recorded as assets, predicated on the reinsurers’ ability to meet their obligations under the reinsurance agreements. If the reinsurers are unable to satisfy their obligations under the

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agreements, the Company’s insurance or reinsurance subsidiaries would be liable for such defaulted amounts.
The effects of reinsurance on the Company’s written and earned premiums and losses and loss adjustment expenses with unaffiliated reinsurers were as follows:
Year Ended December 31,
202020192018
Premiums Written
Direct$6,553,910 $5,681,523 $4,838,902 
Assumed3,534,158 2,457,437 2,122,102 
Ceded(2,650,352)(2,099,893)(1,614,257)
Net$7,437,716 $6,039,067 $5,346,747 
Premiums Earned
Direct$6,361,451 $5,447,829 $4,799,842 
Assumed3,213,873 2,337,950 1,988,038 
Ceded(2,583,389)(1,999,281)(1,555,905)
Net$6,991,935 $5,786,498 $5,231,975 
Losses and Loss Adjustment Expenses
Direct$4,392,392 $2,953,072 $2,472,133 
Assumed2,204,323 1,602,528 1,307,317 
Ceded(1,907,116)(1,422,148)(889,344)
Net$4,689,599 $3,133,452 $2,890,106 
 Year Ended December 31,
 2017 2016 2015
Premiums Written     
Direct$4,447,457
 $3,337,690
 $3,086,919
Assumed1,920,968
 1,864,444
 1,710,244
Ceded(1,407,052) (1,170,743) (979,632)
Net$4,961,373
 $4,031,391
 $3,817,531
      
Premiums Earned     
Direct$4,379,131
 $3,192,653
 $3,002,508
Assumed1,856,573
 1,730,884
 1,659,456
Ceded(1,391,172) (1,038,715) (928,059)
Net$4,844,532
 $3,884,822
 $3,733,905
      
Losses and Loss Adjustment Expenses     
Direct$2,568,327
 $1,976,853
 $1,830,785
Assumed1,442,077
 847,038
 752,304
Ceded(1,042,958) (638,292) (532,186)
Net$2,967,446
 $2,185,599
 $2,050,903

Bellemeade Re
The Company monitors the financial condition of its reinsurers and attempts to place coverages only with substantial, financially sound carriers. At December 31, 2017, approximately 69.9% of the Company’s reinsurance recoverables on paid and unpaid losses (not including ceded unearned premiums) of $2.54 billion were due from carriers which had an A.M. Best rating of “A-” or better while 30.1% were from companies not rated, a substantial portion of which was collateralized through reinsurance trusts or letters of credit. The largest reinsurance recoverables from any one carrier was approximately 2.2% of the Company’s total shareholders’ equity at December 31, 2017. At December 31, 2016,
approximately 75.7% of the Company’s reinsurance recoverables on paid and unpaid losses (not including ceded unearned premiums) of $2.11 billion were due from carriers which had an A.M. Best rating of “A-” or better while 24.2% were from companies not rated, a substantial portion of which was collateralized through reinsurance trusts or letters of credit. The largest reinsurance recoverables from any one carrier was approximately 2.4% of the Company’s total shareholders’ equity at December 31, 2016. Although the Company has not experienced any material credit losses to date, an inability of its reinsurers or retrocessionaires to meet their obligations to it over the relevant exposure periods for any reason could have a material adverse effect on its financial condition and results of operations.
On July 29, 2015, UGC entered into anvarious aggregate excess of loss mortgage reinsurance agreementagreements with Bellemeade Re, avarious special purpose reinsurance companycompanies domiciled in Bermuda at inception for new delinquencies on a portfolio of in-force policies issued between January 1, 2009 and March 31, 2013 through a mortgage insurance-linked notes offering by Bellemeade Re I Ltd.
On May 9, 2016, UGC entered into an aggregate excess of loss reinsurance agreement with Bellemeade Re at inception for new delinquencies on a portfolio of in-force policies issued in 2008 and prior years through a mortgage insurance-linked notes offering by Bellemeade Re II Ltd.
On October 25, 2017, the Company entered into an aggregate excess of loss reinsurance agreement with Bellemeade Re at inception for new delinquencies on a portfolio of in-force policies issued between January 1, 2017 and June 30, 2017 through a mortgage insurance-linked notes offering by Bellemeade 2017-1 Ltd.
The following table summarizes the respective coverages and retentions at December 31, 2017:
 Initial Coverage at Issuance Coverage at December 31, 2017 First Layer Retention
Bellemeade Re I$300,000
 $92,390
 $129,900
Bellemeade Re II300,000
 135,201
 646,900
Bellemeade 2017-1368,100
 347,139
 165,700
(the “Bellemeade Agreements”). For the respective coverage periods, the ceding insurersCompany will retain the first layer of the respective aggregate losses and the special purpose reinsurance companies will provide second layer coverage up to the outstanding coverage amount. The ceding insurersCompany will then retain losses in excess of the outstanding coverage limit. The aggregate excess of loss reinsurance coverage decreases over a ten-year period as the underlying covered mortgages amortize.

The following table summarizes the respective coverages and retentions at December 31, 2020:
December 31, 2020
Initial Coverage at IssuanceCurrent
Coverage
Remaining Retention, Net
Bellemeade 2017-1 Ltd. (1)368,114 145,573 125,953 
Bellemeade 2018-1 Ltd. (2)374,460 250,095 123,690 
Bellemeade 2018-2 Ltd. (3)653,278 108,395 305,606 
Bellemeade 2018-3 Ltd. (4)506,110 302,563 129,874 
Bellemeade 2019-1 Ltd. (5)341,790 219,256 116,530 
Bellemeade 2019-2 Ltd. (6)621,022 398,316 162,457 
Bellemeade 2019-3 Ltd. (7)700,920 528,084 181,036 
Bellemeade 2019-4 Ltd. (8)577,267 468,737 118,102 
Bellemeade 2020-1 Ltd. (9)528,540 308,458 754,782 
Bellemeade 2020-2 Ltd. (10)449,167 449,167 239,278 
Bellemeade 2020-3 Ltd. (11)451,816 451,816 171,580 
Bellemeade 2020-4 Ltd. (12)337,013 337,013 147,466 
Total$5,909,497 $3,967,473 $2,576,354 
(1)    Issued in October 2017, covering in-force policies issued between January 1, 2017 and June 30, 2017.
(2)    Issued in April 2018, covering in-force policies issued between July 1, 2017 and December 31, 2017.
(3)    Issued in August 2018, covering in-force policies issued between April 1, 2013 and December 31, 2015.
(4)    Issued in October 2018, covering in-force policies issued between January 1, 2018 and June 30, 2018.
(5)    Issued in March 2019, covering in-force policies primarily issued between 2005 to 2008 under United Guaranty Residential Insurance Company (“UGRIC”); as well as policies issued through 2015 under both UGRIC and Arch Mortgage Insurance Company.
(6)    Issued in April 2019, covering in-force policies issued between July 1, 2018 and December 31, 2018.
(7)    Issued in July 2019, covering in-force policies issued in 2016.
(8)    Issued in October 2019, covering in-force policies issued between January 1, 2019 and June 30, 2019.
(9)     Issued in June 2020, covering in-force policies issued between July 1, 2019 and December 31, 2019. $450 million was directly funded by Bellemeade 2020-1 Ltd. with an additional $79 million of capacity provided directly to Arch MI U.S. by a separate panel of reinsurers.
(10)    Issued in September 2020, covering in-force policies issued between January 1, 2020 and May 31, 2020. $423 million was directly funded by Bellemeade 2020-2 Ltd. with an additional $26 million of capacity provided directly to Arch MI U.S. by a separate panel of reinsurers.
(11)    Issued in November 2020, covering in-force policies issued between June 1, 2020 and August 31, 2020. $418 million was directly funded by Bellemeade 2020-3 Ltd. with an additional $34 million of capacity provided directly to Arch MI U.S. by a separate panel of reinsurers.
(12)    Issued in December 2020, covering in-force policies issued between July 1, 2019 and December 31, 2019. $321 million was directly funded by Bellemeade 2020-4 Ltd. with an additional $16 million of capacity provided directly to Arch MI U.S. by a separate panel of reinsurers.




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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS




9.    Investment Information
At December 31, 2017,2020, total investable assets of $22.16$29.5 billion included $19.72$26.9 billion held by the Company and $2.44$2.7 billion attributable to Watford Re.Watford.
Available For Sale Investments
The following table summarizes the fair value and cost or amortized cost of the Company’s securities classified as available for sale:
Estimated
Fair
Value
Gross Unrealized GainsGross Unrealized LossesAllowance for Expected Credit Losses (2)Cost or
Amortized
Cost
December 31, 2020
Fixed maturities (1):
Corporate bonds$7,856,571 $414,247 $(34,388)$(896)$7,477,608 
Mortgage backed securities630,001 8,939 (5,028)(278)626,368 
Municipal bonds494,522 27,291 (3,835)(11)471,077 
Commercial mortgage backed securities389,900 8,722 (2,954)(122)384,254 
U.S. government and government agencies5,557,077 22,612 (12,611)5,547,076 
Non-U.S. government securities2,433,733 153,891 (8,060)2,287,902 
Asset backed securities1,634,804 19,225 (10,715)(1,090)1,627,384 
Total18,996,608 654,927 (77,591)(2,397)18,421,669 
Short-term investments1,924,922 2,693 (2,063)1,924,292 
Total$20,921,530 $657,620 $(79,654)$(2,397)$20,345,961 
December 31, 2019
Fixed maturities (1):
Corporate bonds$6,406,591 $191,889 $(12,793)$6,227,495 
Mortgage backed securities562,309 9,669 (931)553,571 
Municipal bonds881,926 24,628 (2,213)859,511 
Commercial mortgage backed securities733,108 14,951 (2,330)720,487 
U.S. government and government agencies4,916,592 36,600 (10,134)4,890,126 
Non-U.S. government securities2,078,757 48,549 (20,330)2,050,538 
Asset backed securities1,683,753 24,017 (4,724)1,664,460 
Total17,263,036 350,303 (53,455)16,966,188 
Short-term investments956,546 811 (1,548)957,283 
Total$18,219,582 $351,114 $(55,003)$17,923,471 
 Estimated Gross Gross Cost or OTTI
 Fair Unrealized Unrealized Amortized Unrealized
 Value Gains Losses Cost Losses (2)
December 31, 2017         
Fixed maturities (1):         
Corporate bonds$4,434,439
 $30,943
 $(32,340) $4,435,836
 $(73)
Mortgage backed securities316,141
 1,640
 (2,561) 317,062
 (15)
Municipal bonds2,158,840
 20,285
 (12,308) 2,150,863
 
Commercial mortgage backed securities545,817
 2,131
 (4,268) 547,954
 
U.S. government and government agencies3,484,257
 2,188
 (28,769) 3,510,838
 
Non-U.S. government securities1,612,754
 48,764
 (17,321) 1,581,311
 
Asset backed securities1,780,143
 5,147
 (8,614) 1,783,610
 
Total14,332,391
 111,098
 (106,181) 14,327,474
 (88)
Equity securities504,333
 88,739
 (5,583) 421,177
 
Other investments264,989
 66,946
 (120) 198,163
 
Short-term investments1,469,042
 650
 (563) 1,468,955
 
Total$16,570,755
 $267,433
 $(112,447) $16,415,769
 $(88)
          
December 31, 2016         
Fixed maturities (1):         
Corporate bonds$4,392,373
 $27,606
 $(46,905) $4,411,672
 $(2,285)
Mortgage backed securities490,093
 4,794
 (8,357) 493,656
 (3,323)
Municipal bonds3,713,434
 8,554
 (29,154) 3,734,034
 (201)
Commercial mortgage backed securities536,051
 2,876
 (6,508) 539,683
 
U.S. government and government agencies2,804,540
 9,319
 (24,437) 2,819,658
 
Non-U.S. government securities1,096,440
 19,036
 (56,872) 1,134,276
 
Asset backed securities1,123,987
 6,897
 (6,526) 1,123,616
 (22)
Total14,156,918
 79,082
 (178,759) 14,256,595
 (5,831)
Equity securities532,680
 62,627
 (17,517) 487,570
 
Other investments167,970
 21,358
 (2,465) 149,077
 
Short-term investments612,005
 272
 (145) 611,878
 
Total$15,469,573
 $163,339
 $(198,886) $15,505,120
 $(5,831)
(1)    In securities lending transactions, the Company receives collateral in excess of the fair value of the fixed maturities pledged. For purposes of this table, the Company has excluded the collateral received under securities lending, at fair value and included the securities pledged under securities lending, at fair value. See “—Securities Lending Agreements.”
(2) Effective January 1, 2020, the Company adopted ASU 2016-13 and as a result any credit impairment losses on the Company’s available-for-sale investments are recorded as an allowance, subject to reversal. See note 3.



(1)In securities lending transactions, the Company receives collateral in excess of the fair value of the fixed maturities pledged. For purposes of this table, the Company has excluded the collateral received under securities lending, at fair value and included the securities pledged under securities lending, at fair value. See “—Securities Lending Agreements.”
(2)Represents the total OTTI recognized in accumulated other comprehensive income (“AOCI”). It does not include the change in fair value subsequent to the impairment measurement date. At December 31, 2017, the net unrealized gain related to securities for which a non-credit OTTI was recognized in AOCI was $0.3 million, compared to a net unrealized loss of $2.8 million at December 31, 2016.



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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS




The following table summarizes, for all available for sale securities in an unrealized loss position, the fair value and gross unrealized loss by length of time the security has been in a continual unrealized loss position:
Less than 12 Months12 Months or MoreTotal
Estimated Fair
Value
Gross Unrealized LossesEstimated Fair
Value
Gross Unrealized LossesEstimated Fair
Value
Gross Unrealized Losses
December 31, 2020
Fixed maturities (1):
Corporate bonds$747,442 $(33,086)$3,934 $(1,302)$751,376 $(34,388)
Mortgage backed securities284,619 (4,788)3,637 (240)288,256 (5,028)
Municipal bonds67,937 (3,835)67,937 (3,835)
Commercial mortgage backed securities126,624 (2,916)2,655 (38)129,279 (2,954)
U.S. government and government agencies1,285,907 (12,611)1,285,907 (12,611)
Non-U.S. government securities543,844 (7,658)2,441 (402)546,285 (8,060)
Asset backed securities634,470 (9,110)57,737 (1,605)692,207 (10,715)
Total3,690,843 (74,004)70,404 (3,587)3,761,247 (77,591)
Short-term investments97,920 (2,063)97,920 (2,063)
Total$3,788,763 $(76,067)$70,404 $(3,587)$3,859,167 $(79,654)
December 31, 2019
Fixed maturities (1):
Corporate bonds$675,131 $(12,350)$37,671 $(443)$712,802 $(12,793)
Mortgage backed securities102,887 (927)203 (4)103,090 (931)
Municipal bonds220,296 (2,213)220,296 (2,213)
Commercial mortgage backed securities147,290 (2,302)2,683 (28)149,973 (2,330)
U.S. government and government agencies1,373,127 (10,089)32,058 (45)1,405,185 (10,134)
Non-U.S. government securities1,224,243 (20,163)37,610 (167)1,261,853 (20,330)
Asset backed securities441,522 (3,334)48,313 (1,390)489,835 (4,724)
Total4,184,496 (51,378)158,538 (2,077)4,343,034 (53,455)
Short-term investments95,777 (1,548)95,777 (1,548)
Total$4,280,273 $(52,926)$158,538 $(2,077)$4,438,811 $(55,003)
 Less than 12 Months 12 Months or More Total
 Estimated Gross Estimated Gross Estimated Gross
 Fair Unrealized Fair Unrealized Fair Unrealized
 Value Losses Value Losses Value Losses
December 31, 2017           
Fixed maturities (1):           
Corporate bonds$2,320,716
 $(25,411) $279,082
 $(6,929) $2,599,798
 $(32,340)
Mortgage backed securities221,113
 (1,715) 28,380
 (846) 249,493
 (2,561)
Municipal bonds1,030,389
 (8,438) 132,469
 (3,870) 1,162,858
 (12,308)
Commercial mortgage backed securities225,164
 (1,899) 57,291
 (2,369) 282,455
 (4,268)
U.S. government and government agencies2,646,415
 (26,501) 111,879
 (2,268) 2,758,294
 (28,769)
Non-U.S. government securities1,218,514
 (15,546) 93,530
 (1,775) 1,312,044
 (17,321)
Asset backed securities1,111,246
 (5,915) 209,207
 (2,699) 1,320,453
 (8,614)
Total8,773,557
 (85,425) 911,838
 (20,756) 9,685,395
 (106,181)
Equity securities166,562
 (5,583) 
 
 166,562
 (5,583)
Other investments15,025
 (120) 
 
 15,025
 (120)
Short-term investments109,528
 (563) 
 
 109,528
 (563)
Total$9,064,672
 $(91,691) $911,838
 $(20,756) $9,976,510
 $(112,447)
            
December 31, 2016           
Fixed maturities (1):           
Corporate bonds$1,700,813
 $(43,011) $46,902
 $(3,894) $1,747,715
 $(46,905)
Mortgage backed securities402,699
 (8,134) 6,105
 (223) 408,804
 (8,357)
Municipal bonds1,513,308
 (28,504) 29,636
 (650) 1,542,944
 (29,154)
Commercial mortgage backed securities231,374
 (6,331) 5,635
 (177) 237,009
 (6,508)
U.S. government and government agencies1,888,018
 (24,437) 
 
 1,888,018
 (24,437)
Non-U.S. government securities807,598
 (56,872) 
 
 807,598
 (56,872)
Asset backed securities627,557
 (5,465) 65,723
 (1,061) 693,280
 (6,526)
Total7,171,367
 (172,754) 154,001
 (6,005) 7,325,368
 (178,759)
Equity securities269,381
 (17,517) 
 
 269,381
 (17,517)
Other investments39,299
 (2,465) 
 
 39,299
 (2,465)
Short-term investments29,146
 (145) 
 
 29,146
 (145)
Total$7,509,193
 $(192,881) $154,001
 $(6,005) $7,663,194
 $(198,886)
(1)    In securities lending transactions, the Company receives collateral in excess of the fair value of the fixed maturities pledged. For purposes of this table, the Company has excluded the collateral received and reinvested and included the fixed maturities pledged. See “—Securities Lending Agreements.”
(1)In securities lending transactions, the Company receives collateral in excess of the fair value of the fixed maturities pledged. For purposes of this table, the Company has excluded the collateral received and reinvested and included the fixed maturities pledged. See “—Securities Lending Agreements.”

At December 31, 2017,2020, on a lot level basis, approximately 3,8302,320 security lots out of a total of approximately 7,45011,180 security lots were in an unrealized loss position and the largest single unrealized loss from a single lot in the Company’s fixed maturity portfolio was $1.3$0.9 million. The Company believes that such securities were temporarily impaired at December 31, 2017.2020. At December 31, 2016,2019, on a lot level basis, approximately 3,5402,230 security lots out of a total of approximately 7,2409,590 security lots were in an unrealized loss position and the largest single unrealized loss from a single lot in the Company’s fixed maturity portfolio was $4.6$0.9 million.




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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS




The contractual maturities of the Company’s fixed maturities and fixed maturities pledged under securities lending agreements are shown in the following table. Expected maturities, which are management’s best estimates, will differ from contractual maturities because borrowers may have the right to call or prepay obligations with or without call or prepayment penalties.
December 31, 2020December 31, 2019
MaturityEstimated Fair ValueAmortized CostEstimated Fair ValueAmortized Cost
Due in one year or less$348,200 $339,951 $428,659 $423,617 
Due after one year through five years10,629,959 10,340,819 10,126,403 9,996,206 
Due after five years through 10 years4,881,564 4,654,754 3,317,535 3,219,567 
Due after 10 years482,180 448,139 411,269 388,280 
16,341,903 15,783,663 14,283,866 14,027,670 
Mortgage backed securities630,001 626,368 562,309 553,571 
Commercial mortgage backed securities389,900 384,254 733,108 720,487 
Asset backed securities1,634,804 1,627,384 1,683,753 1,664,460 
Total (1)$18,996,608 $18,421,669 $17,263,036 $16,966,188 
  December 31, 2017 December 31, 2016
Maturity Estimated Fair Value Amortized Cost Estimated Fair Value Amortized Cost
Due in one year or less $550,711
 $548,771
 $560,830
 $557,675
Due after one year through five years 7,436,153
 7,434,801
 6,158,148
 6,211,099
Due after five years through 10 years 3,369,635
 3,369,750
 4,676,847
 4,710,017
Due after 10 years 333,791
 325,526
 610,962
 620,849
  11,690,290
 11,678,848
 12,006,787
 12,099,640
Mortgage backed securities 316,141
 317,062
 490,093
 493,656
Commercial mortgage backed securities 545,817
 547,954
 536,051
 539,683
Asset backed securities 1,780,143
 1,783,610
 1,123,987
 1,123,616
Total $14,332,391
 $14,327,474
 $14,156,918
 $14,256,595
(1)    In securities lending transactions, the Company receives collateral in excess of the fair value of the fixed maturities pledged. For purposes of this table, the Company has excluded the collateral received and reinvested and included the fixed maturities pledged. See “—Securities Lending Agreements.”
Securities Lending Agreements
The Company enters into securities lending agreements with financial institutions to enhance investment income whereby it loans certain of its securities to third parties, primarily major brokerage firms, for short periods of time through a lending agent. The Company maintains legal control over the securities it lends (shown as ‘Securities pledged under securities lending, at fair value’ on the Company’s balance sheet), retains the earnings and cash flows associated with the loaned securities and receives a fee from the borrower for the temporary use of the securities. An indemnification agreement with the lending agent protects the Company in the event a borrower becomes insolvent or fails to return any of the securities on loan to the Company.
The Company receives collateral (shown as ‘Collateral received under securities lending, at fair value’ on the Company’s balance sheet) in the form of cash or U.S. government and government agency securities. Cash collateral primarily consists of short-term investments. At December 31, 2017,2020, the fair value of the cash collateral received on securities lending was $199.9 millionNaN and the fair value of security collateral received was $276.7$301.1 million. At December 31, 2016,2019, the fair value of the cash collateral received on securities lending was $212.4$81.2 million and the fair value of security collateral received was $550.1$307.2 million. 
The Company’s securities lending transactions were accounted for as secured borrowings with significant investment categories as follows:
Remaining Contractual Maturity of the Agreements
Overnight and ContinuousLess than 30 Days30-90 Days90 Days or MoreTotal
December 31, 2020
U.S. government and government agencies$142,317 $$139,290 $$281,607 
Corporate bonds3,021 3,021 
Equity securities16,461 16,461 
Total$161,799 $$139,290 $$301,089 
Gross amount of recognized liabilities for securities lending in offsetting disclosure in Note 11
Amounts related to securities lending not included in offsetting disclosure in Note 11$301,089 
December 31, 2019
U.S. government and government agencies$240,332 $$115,973 $$356,305 
Corporate bonds2,570 2,570 
Equity securities29,491 29,491 
Total$272,393 $$115,973 $$388,366 
Gross amount of recognized liabilities for securities lending in offsetting disclosure in Note 11
Amounts related to securities lending not included in offsetting disclosure in Note 11$388,366 

  Remaining Contractual Maturity of the Agreements
  Overnight and Continuous Less than 30 Days 30-90 Days 90 Days or More Total
December 31, 2017          
U.S. government and government agencies $343,425
 $20,309
 $76,086
 $
 $439,820
Corporate bonds 28,003
 
 
 
 28,003
Equity securities 8,782
 
 
 
 8,782
Total $380,210
 $20,309
 $76,086
 $
 $476,605
Gross amount of recognized liabilities for securities lending in offsetting disclosure in Note 11 $
Amounts related to securities lending not included in offsetting disclosure in Note 11 $476,605
           
December 31, 2016          
U.S. government and government agencies $556,015
 $31,244
 $126,093
 $5,140
 $718,492
Corporate bonds 29,078
 
 
 
 29,078
Equity securities 14,984
 
 
 
 14,984
Total $600,077
 $31,244
 $126,093
 $5,140
 $762,554
Gross amount of recognized liabilities for securities lending in offsetting disclosure in Note 11 $
Amounts related to securities lending not included in offsetting disclosure in Note 11 $762,554




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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS




Equity Securities, at Fair Value
At December 31, 2020, the Company held $1.4 billion of equity securities, at fair value, compared to $838.9 million at December 31, 2019. Pursuant to applicable accounting guidance, changes in fair value on equity securities are recorded through net income effective January 1, 2018.
Other Investments
The following table summarizes the Company’s other investments including availableand other investable assets:
December 31,
20202019
Fixed maturities$843,354 $754,452 
Other investments2,331,885 2,429,316 
Short-term investments557,008 377,014 
Equity securities92,549 102,695 
Investments accounted for using the fair value option3,824,796 3,663,477 
Other investable assets (1)500,000 
Total other investments$4,324,796 $3,663,477 
(1) Participation interests in a receivable of a reverse repurchase agreement.
The following table summarizes the Company’s other investments, as detailed in the previous table, by strategy:

December 31,

2020

2019
Term loan investments1,231,731 1,326,018 
Lending572,636 602,841 
Credit related funds90,780 123,020 
Energy65,813 97,402 
Investment grade fixed income138,646 151,594 
Infrastructure165,516 61,786 
Private equity48,750 49,376 
Real estate18,013 17,279 
Total$2,331,885 $2,429,316 
Investments Accounted For Using the Equity Method
The following table summarizes the Company’s investments accounted for saleusing the equity method, by strategy:

December 31,

20202019
Credit related funds$740,060 $428,437 
Equities343,058 293,686 
Real estate258,518 246,851 
Lending179,629 202,690 
Private equity235,289 144,983 
Infrastructure175,882 235,033 
Energy115,453 108,716 
Total$2,047,889 $1,660,396 
In applying the equity method, investments are initially recorded at cost and are subsequently adjusted based on the Company’s proportionate share of the net income or loss of the funds (which include changes in the fair value option components:of the underlying securities in the funds). Such investments are generally recorded on a one to three month lag based on the availability of reports from the investment funds.
A summary of financial information for the Company’s investment funds accounted for using the equity method is as follows:
 December 31,
 2017 2016
Available for sale securities:   
Asian and emerging markets$135,140
 $84,778
Investment grade fixed income53,878
 33,923
Credit related funds18,365
 7,469
Other57,606
 41,800
Total available for sale264,989
 167,970
Fair value option:   
Term loan investments (par value: $1,223,453 and $1,208,537)1,200,882
 1,190,799
Mezzanine debt funds252,160
 127,943
Credit related funds175,422
 218,298
Investment grade fixed income102,347
 75,468
Asian and emerging markets258,541
 178,568
Other (1)147,029
 129,717
Total fair value option2,136,381
 1,920,793
Total$2,401,370
 $2,088,763
December 31,
20202019
Invested assets$44,131,377 $26,383,370 
Total assets49,078,464 28,039,181 
Total liabilities6,054,189 3,595,695 
Net assets$43,024,275 $24,443,486 
(1)Includes fund investments with strategies in mortgage servicing rights, transportation and infrastructure assets and other.
Year Ended December 31,
202020192018
Total revenues$5,762,098 $164,669 $4,565,354 
Total expenses1,656,029 528,762 1,135,602 
Net income (loss)$4,106,069 $(364,093)$3,429,752 
Certain of the Company’s other investments and investments accounted for using the equity method are in investment funds for which the Company has the option to redeem at agreed upon values as described in each investment fund’s subscription agreement. Depending on the terms of the various subscription agreements, investments in investment funds may be redeemed daily, monthly, quarterly or on other terms. Two common redemption restrictions which may impact the Company’s ability to redeem these investment funds are gates and lockups. A gate is a suspension of redemptions which may be implemented by the general partner or investment manager of the fund in order to defer, in whole or in part, the redemption request in the event the aggregate amount of redemption requests exceeds a predetermined percentage of the investment fund's net assets which may otherwise hinder the general partner or investment manager's ability to liquidate holdings in an orderly fashion in order to generate the cash necessary to fund extraordinarily large redemption payouts. A lockup period is the initial amount of time an investor is contractually required to hold the security before having the ability to redeem. If the investment funds are eligible to be redeemed, the time to redeem such fund can take weeks or months following the notification.
Fair Value Option
The following table summarizes the Company’s assets and liabilities which are accounted for using the fair value option:
 December 31,
 2017 2016
Fixed maturities$1,642,855
 $1,099,116
Other investments2,136,381
 1,920,793
Short-term investments297,426
 373,669
Equity securities139,575
 27,642
Investments accounted for using the fair value option$4,216,237
 $3,421,220
Limited Partnership Interests
In the normal course of its activities, the Company invests in limited partnerships as part of its overall investment strategy. Such amounts are included in ‘investments accounted for using the equity method’ and ‘investments accounted for using the fair value option.’ Based on the new accounting guidance for consolidation, theThe Company determined that

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

these limited partnership interests represented variable interests in the funds because the general partner did not have a significant interest in the funds. The Company’s maximum exposure to loss with respect to these investments is limited to the investment carrying amounts reported in the Company’s consolidated balance sheet and any unfunded commitment.
The following table summarizes investments in limited partnership interests where the Company has a variable interest by balance sheet item:
December 31,
20202019
Investments accounted for using the equity method (1)$2,047,889 $1,660,396 
Investments accounted for using the fair value option (2)184,720 188,283 
Total$2,232,609 $1,848,679 
 December 31,
 2017 2016
Investments accounted for using the equity method (1)$1,041,321
 $800,970
Investments accounted for using the fair value option (2)130,471
 90,804
Total$1,171,792
 $891,774
(1)Aggregate unfunded commitments were $1,020.1 million at December 31, 2017, compared to $776.6 million at December 31, 2016.
(2)Aggregate unfunded commitments were $100.4 million at December 31, 2017, compared to $16.7 million at December 31, 2016.
(1)     Aggregate unfunded commitments were $1.8 billion at December 31, 2020, compared to $1.4 billion at December 31, 2019.

(2)    Aggregate unfunded commitments were $35.6 million at December 31, 2020, compared to $41.7 million at December 31, 2019.

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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



Net Investment Income

The components of net investment income were derived from the following sources:
Year Ended December 31,
202020192018
Fixed maturities$412,481 $505,399 $470,912 
Term loans84,149 98,949 87,926 
Equity securities28,958 15,857 13,154 
Short-term investments10,840 15,820 18,793 
Other (1)72,395 80,618 64,942 
Gross investment income608,823 716,643 655,727 
Investment expenses(89,215)(88,905)(92,094)
Net investment income$519,608 $627,738 $563,633 
(1)    Includes income distributions from investment funds and other items.

 Year Ended December 31,
 2017 2016 2015
Fixed maturities$385,919
 $295,502
 $283,998
Equity securities11,752
 12,536
 13,534
Short-term investments10,964
 6,071
 669
Other (1)154,266
 132,815
 112,927
Gross investment income562,901
 446,924
 411,128
Investment expenses(92,029) (80,182) (63,038)
Net investment income$470,872
 $366,742
 $348,090
(1)Includes dividends and other distributions from investment funds, term loan investments, funds held balances, cash balances and other.

Net Realized Gains (Losses)

Net realized gains (losses) were as follows, excludingfollows:

Year Ended December 31,
202020192018
Available for sale securities:
Gross gains on investment sales$595,941 $235,655 $69,299 
Gross losses on investment sales(117,282)(104,612)(223,123)
Change in fair value of assets and liabilities accounted for using the fair value option:
Fixed maturities15,881 41,910 (90,898)
Other investments13,656 (35,734)(90,778)
Equity securities14,629 15,869 (5,984)
Short-term investments2,279 3,801 (461)
Equity securities, at fair value (1):
Net realized gains (losses) on securities sold26,849 11,313 (40,117)
Net unrealized gains (losses) on equity securities still held at reporting date102,394 97,768 (22,828)
Allowance for credit losses:(3)
Investments related(3,597)
Underwriting related(10,007)
Net impairment losses(533)(3,165)(2,829)
Derivative instruments (2)179,675 119,741 15,636 
Other3,575 (19,348)(16,090)
Net realized gains (losses)$823,460 $363,198 $(408,173)
(1)    Effective January 1, 2018, changes in fair value on equity securities are recorded through net income.
(2)    See Note 11 for information on the other-than-temporary impairment provisions:Company’s derivative instruments.
(3)    Adoption of ASU 2016-13, “Financial Instruments - Credit Losses (Topic 326)” See note 3.
 Year Ended December 31,
 2017 2016 2015
Available for sale securities:     
Gross gains on investment sales$286,415
 $309,896
 $281,786
Gross losses on investment sales(203,873) (214,447) (218,970)
Change in fair value of assets and liabilities accounted for using the fair value option:     
Fixed maturities29,451
 47,890
 (84,620)
Other investments51,124
 58,687
 (122,171)
Equity securities18,707
 366
 (85)
Short-term investments272
 93
 1,462
Derivative instruments (1)(7,356) (22,612) (7,114)
Other (2)(25,599) (42,287) (36,130)
Net realized gains (losses)$149,141
 $137,586
 $(185,842)
(1)See Note 11 for information on the Company’s derivative instruments.
(2)Includes the re-measurement of contingent consideration liability amounts.


Equity in Net Income (Loss) of Investment FundsInvestments Accounted For Using the Equity Method
The Company recorded equity in net income related to investment fundsinvestments accounted for using the equity method of $142.3$146.7 million for 2017,2020, compared to $48.5$123.7 million for 20162019 and $25.5$45.6 million for 2015.2018. In applying the equity method, investments are initially recorded at cost and are subsequently adjusted based on the Company’s proportionate share of the net income or loss of the funds (which include changes in the fairmarket value of the underlying securities in the funds). Such
investments are generally recorded on a one to three month lag based on the availability of reports from the investment funds.
A summary of financial information for the Company’s investments accounted for using the equity method is as follows:
 December 31,
 2017 2016
Invested assets$22,351,894
 $16,414,190
Total assets23,932,507
 17,988,367
Total liabilities2,734,662
 1,499,160
Net assets$21,197,845
 $16,489,207
 Year Ended December 31,
 2017 2016 2015
Total revenues$3,867,874
 $2,279,737
 $1,429,007
Total expenses782,773
 656,940
 521,555
Net income (loss)$3,085,101
 $1,622,797
 $907,452
Other-Than-Temporary Impairments
The Company performs quarterly reviews of its available for sale investments in order to determine whether declines in fair value below the amortized cost basis were considered other-than-temporary in accordance with applicable guidance.
The following table details the net impairment losses recognized in earnings by asset class:
 Year Ended December 31,
 2017 2016 2015
Fixed maturities:     
Mortgage backed securities$(1,488) $(964) $(1,794)
Corporate bonds(2,884) (5,674) (10,841)
Non-U.S. government securities(376) (823) 
Asset backed securities
 (14,736) 
U.S. government and government agencies(426) 
 
Municipal bonds(375) (726) 
Total(5,549) (22,923) (12,635)
Short-term investments
 
 (2,341)
Equity securities(1,422) (3,990) (4,206)
Other investments(167) (3,529) (934)
Net impairment losses recognized in earnings$(7,138) $(30,442) $(20,116)
A description of the methodology and significant inputs used to measure the amount of net impairment losses recognized in earnings in 2017 is as follows:
Corporate bonds – the Company reviewed the business prospects, credit ratings, estimated loss given default factors, foreign currency impacts and information received from asset managers and rating agencies for certain



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corporate bonds. Impairment losses were primarily from foreign currency impacts;
Mortgage backed securities – the Company utilized underlying data provided by asset managers, cash flow projections and additional information from credit agencies in order to determine an expected recovery valueAllowance for each security. Impairment losses primarily reflected the Company’s decision to liquidate a portfolio of mortgage backed securities in April 2017. The Company recorded impairment losses on securities in such portfolio that were in an unrealized loss position at March 31, 2017;
Equity securities – the Company utilized information received from asset managers on common stocks, including the business prospects, recent events, industry and market data and other factors. Impairment losses were primarily on equities which were in an unrealized loss position for a significant length of time.
The Company believes that the OTTI included in accumulated other comprehensive income at December 31, 2017 on the securities which were considered by the Company to be impaired was due to market and sector-related factors (i.e., not credit losses). At December 31, 2017, the Company did not intend to sell these securities, or any other securities which were in an unrealized loss position, and determined that it is more likely than not that the Company will not be required to sell such securities before recovery of their cost basis.Expected Credit Losses
The following table provides a roll forward of the amount related toallowance for expected credit losses recognized in earningsof the Company’s securities classified as available for which a portionsale:
Year Ended December 31, 2020
Structured Securities (1)Municipal
Bonds
Corporate
Bonds
Total
Balance at beginning of period$$$$
Cumulative effect of accounting change (2)517 117 634 
Additions for current-period provision for expected credit losses2,942 67 7,644 10,653 
Additions (reductions) for previously recognized expected credit losses(1,398)(5,638)(7,030)
Reductions due to disposals(571)(62)(1,227)(1,860)
Write-offs charged against the allowance
Balance at end of period$1,490 $11 $896 $2,397 
(1)    Includes asset backed securities, mortgage backed securities and commercial mortgage backed securities.
(2)    Adoption of an OTTI was recognized in accumulated other comprehensive income:ASU 2016-13, “Financial Instruments - Credit Losses (Topic 326)” See note 3.

 Year Ended December 31,
 2017 2016 2015
Balance at start of year$13,138
 $26,875
 $20,196
Credit loss impairments recognized on securities not previously impaired31
 2,186
 12,777
Credit loss impairments recognized on securities previously impaired210
 582
 1,673
Reductions for increases in cash flows expected to be collected that are recognized over the remaining life of the security
 
 
Reductions for securities sold during the period(12,612) (16,505) (7,771)
Balance at end of year$767
 $13,138
 $26,875
Restricted Assets
The Company is required to maintain assets on deposit, which primarily consist of fixed maturities, with various regulatory authorities to support its insurance and reinsuranceunderwriting operations.
The Company’s insurance and reinsurance subsidiaries maintain assets in trust accounts as collateral for insurance and reinsurance transactions with affiliated companies and also have investments in segregated portfolios primarily to provide collateral or guarantees for letters of credit to third parties. See Note 16 for further details.parties
The following table details the value of the Company’s restricted assets:
December 31,
20202019
Assets used for collateral or guarantees:
Affiliated transactions$4,643,334 $4,526,761 
Third party agreements3,083,324 2,278,248 
Deposits with U.S. regulatory authorities827,552 797,371 
Deposits with non-U.S. regulatory authorities179,099 119,238 
Total restricted assets$8,733,309 $7,721,618 
In addition, Watford maintains a secured credit facility to provide borrowing capacity for investment purposes and a total return swap agreement and maintains assets pledged as collateral for such purposes. The Company does not guarantee or provide credit support for Watford, and the Company’s financial exposure to Watford is limited to its investment in Watford’s senior notes, common and preferred shares and counterparty credit risk (mitigated by collateral) arising from reinsurance transactions. As of December 31, 2020 and December 31, 2019, Watford held $954.6 million and $1.0 billion, respectively, in pledged assets to collateralize the credit facility mentioned above.
 December 31,
 2017 2016
Assets used for collateral or guarantees:   
Affiliated transactions$4,323,726
 $3,871,971
Third party agreements1,674,304
 1,513,079
Deposits with U.S. regulatory authorities616,987
 472,890
Deposits with non-U.S. regulatory authorities55,895
 44,399
Total restricted assets$6,670,912
 $5,902,339
Reconciliation of Cash and Restricted Cash
The following table details reconciliation of cash and restricted cash within the Consolidated Balance Sheets:
December 31,
202020192018
Cash$906,448 $726,230 $646,556 
Restricted cash (included in ‘other assets’)384,096 177,468 78,087 
Cash and restricted cash$1,290,544 $903,698 $724,643 
10.    Fair Value
Accounting guidance regarding fair value measurements addresses how companies should measure fair value when they are required to use a fair value measure for recognition or disclosure purposes under GAAP and provides a common definition of fair value to be used throughout GAAP. It defines fair value as the price that would be received to sell an asset or paid to transfer a liability in an orderly fashion between market participants at the measurement date. In addition, it establishes a three-level valuation hierarchy for the disclosure of fair value measurements. The valuation hierarchy is based upon the transparency of inputs to the valuation of an asset or liability as of the measurement date. The level in the hierarchy within which a given fair value measurement falls is determined based on the lowest level input that is significant to the measurement (Level 1 being the highest priority and Level 3 being the lowest priority).
The levels in the hierarchy are defined as follows:

Level 1:
Inputs to the valuation methodology are observable inputs that reflect quoted prices (unadjusted) for identical assets or liabilities in active markets
Level 2:Inputs to the valuation methodology include quoted prices for similar assets and liabilities in active markets, and inputs that are observable for the asset or liability, either directly or indirectly, for substantially the full term of the financial instrument
Level 3:Inputs to the valuation methodology are unobservable and significant to the fair value measurement


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The levels in the hierarchy are defined as follows:
Level 1:    Inputs to the valuation methodology are observable inputs that reflect quoted prices (unadjusted) for identical assets or liabilities in active markets
Level 2:    Inputs to the valuation methodology include quoted prices for similar assets and liabilities in active markets, and inputs that are observable for the asset or liability, either directly or indirectly, for substantially the full term of the financial instrument
Level 3:    Inputs to the valuation methodology are unobservable and significant to the fair value measurement
Following is a description of the valuation methodologies used for securities measured at fair value, as well as the general classification of such securities pursuant to the valuation hierarchy. The Company reviews its securities measured at fair value and discusses the proper classification of such investments with investment advisers and others.
The Company determines the existence of an active market based on its judgment as to whether transactions for the financial instrument occur in such market with sufficient frequency and volume to provide reliable pricing information. The independent pricing sources obtain market quotations and actual transaction prices for securities that have quoted prices in active markets. The Company uses quoted values and other data provided by nationally recognized independent pricing sources as inputs into its process for determining fair values of its fixed maturity investments. To validate the techniques or models used by pricing sources, the Company's review process includes, but is not limited to: (i) quantitative analysis (e.g.(e.g., comparing the quarterly return for each managed portfolio to its target benchmark, with significant differences identified and investigated); (ii) a review of the prices obtained in the pricing process and the range of resulting fair values; (iii) initial and ongoing evaluation of methodologies used by outside parties to calculate fair value; (iv) a comparison of the fair value estimates to the Company’s knowledge of the current market; (v) a comparison of the pricing services' fair values to other pricing services' fair values for the same investments; and (vi) periodic back-testing, which includes randomly selecting purchased or sold securities and comparing the executed prices to the fair value estimates from the pricing service. A price source hierarchy was maintained in order to determine which price source would be used (i.e., a price obtained from a pricing service with more seniority in the hierarchy will be used over a less senior one in all cases). The hierarchy prioritizes pricing services based on availability and reliability and assigns the highest priority to index providers. Based on the above review, the
Company will challenge any prices for a security or portfolio which are considered not to be representative of fair value.
In certain circumstances, when fair values are unavailable from these independent pricing sources, quotes are obtained directly from broker-dealers who are active in the corresponding markets. Such quotes are subject to the validation procedures noted above. Of the $20.9$26.5 billion of financial assets and liabilities measured at fair value at December 31, 2017,2020, approximately $181.5$150.1 million, or 0.9%0.6%, were priced using non-binding broker-dealer quotes. Of the $19.1$22.9 billion of financial assets and liabilities measured at fair value at December 31, 2016,2019, approximately $234.0$179.6 million, or 1.2%0.8%, were priced using non-binding broker-dealer quotes.
Fixed maturities
The Company uses the market approach valuation technique to estimate the fair value of its fixed maturity securities, when
possible. The market approach includes obtaining prices from independent pricing services, such as index providers and pricing vendors, as well as to a lesser extent quotes from broker-dealers. The independent pricing sources obtain market quotations and actual transaction prices for securities that have quoted prices in active markets. Each source has its own proprietary method for determining the fair value of securities that are not actively traded. In general, these methods involve the use of “matrix pricing” in which the independent pricing source uses observable market inputs including, but not limited to, investment yields, credit risks and spreads, benchmarking of like securities, broker-dealer quotes, reported trades and sector groupings to determine a reasonable fair value. The following describes the significant inputs generally used to determine the fair value of the Company’s fixed maturity securities by asset class:
U.S. government and government agencies — valuations provided by independent pricing services, with all prices provided through index providers and pricing vendors. The Company determined that all U.S. Treasuries would be classified as Level 1 securities due to observed levels of trading activity, the high number of strongly correlated pricing quotes received on U.S. Treasuries and other factors. The fair values of U.S. government agency securities are generally determined using the spread above the risk-free yield curve. As the yields for the risk-free yield curve and the spreads for these securities are observable market inputs, the fair values of U.S. government agency securities are classified within Level 2.
Corporate bonds — valuations provided by independent pricing services, substantially all through index providers and pricing vendors with a small amount through broker-dealers. The fair values of these securities are generally determined using the spread above the risk-free

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yield curve. These spreads are generally obtained from the new issue market, secondary trading and from broker-dealers who trade in the relevant security market. As the significant inputs used in the pricing process for corporate bonds are observable market inputs, the fair value of these securities are classified within Level 2. One security is included in Level 3 due to a low level of transparency on the inputs used in the pricing process.
Mortgage-backed securities — valuations provided by independent pricing services, substantially all through pricing vendors and index providers with a small amount through broker-dealers. The fair values of these securities are generally determined through the use of pricing models (including Option Adjusted Spread) which use spreads to determine the expected average life of the securities. These spreads are generally obtained from the new issue market, secondary trading and from broker-dealers who trade in the relevant security market. The pricing services also review prepayment speeds and other indicators, when applicable. As the significant inputs used in the pricing process for mortgage-backed securities are observable market inputs, the fair value of these securities are classified within Level 2.


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Municipal bonds — valuations provided by independent pricing services, with all prices provided through index providers and pricing vendors. The fair values of these securities are generally determined using spreads obtained from broker-dealers who trade in the relevant security market, trade prices and the new issue market. As the significant inputs used in the pricing process for municipal bonds are observable market inputs, the fair value of these securities are classified within Level 2.
Commercial mortgage-backed securities — valuations provided by independent pricing services, substantially all through index providers and pricing vendors with a small amount through broker-dealers. The fair values of these securities are generally determined through the use of pricing models which use spreads to determine the appropriate average life of the securities. These spreads are generally obtained from the new issue market, secondary trading and from broker-dealers who trade in the relevant security market. As the significant inputs used in the pricing process for commercial mortgage-backed securities are observable market inputs, the fair value of these securities are classified within Level 2.
Non-U.S. government securities — valuations provided by independent pricing services, with all prices provided through index providers and pricing vendors. The fair values of these securities are generally based on international indices or valuation models which include daily observed yield curves, cross-currency basis index spreads and country credit spreads. As the significant inputs used in the pricing process for non-U.S. government securities are observable market inputs, the fair value of these securities are classified within Level 2.
Asset-backed securities — valuations provided by independent pricing services, substantially all through index providers and pricing vendors with a small amount through broker-dealers. The fair values of these securities are generally determined through the use of pricing models (including Option Adjusted Spread) which use spreads to determine the appropriate average life of the securities. These spreads are generally obtained from the new issue market, secondary trading and from broker-dealers who trade in the relevant security market. As the significant inputs used in the pricing process for asset-backed securities are observable market inputs, the fair value of these securities are classified within Level 2. A small number of securities are included in Level 3 due to a low level of transparency on the inputs used in the pricing process.
During 2017, the Company transferred $17.6 million of fixed maturities from Level 2 to Level 3 based on a review of the pricing of such securities, as described above.
Equity securities
The Company determined that exchange-traded equity securities would be included in Level 1 as their fair values are
based on quoted market prices in active markets. Other equity securities are included in Level 2 of the valuation hierarchy. A small number of securities are included in Level 3 due to the lack of an available independent price source for such securities. As the significant inputs used to price these securities are unobservable, the fair value of such securities are classified as Level 3.
Other investments
The Company determined that exchange-traded investments would be included in Level 1 as their fair values are based on quoted market prices in active markets. Other investments also include term loan investments for which fair values are estimated by using quoted prices of term loan investments with similar characteristics, pricing models or matrix pricing. Such investments are generally classified within Level 2. A small number of securities are included in Level 3 due to a low levelthe lack of transparency on the inputs used in the pricing process. The fair valuesan available independent price source for certain of the Company’s other investments are determined using net asset values as advised by external fund managers, based on the fund manager’s valuation of the underlying holdings in accordance with the fund’s governing documents. Certain investments that are measured at fair value using the net asset value per share (or its equivalent) practical expedient have not been classified in the fair value hierarchy. During 2017, the Company transferred $33.7 million of other investments from Level 2 to Level 3 based on a review of the pricing of such securities, as described above.securities.
Derivative instruments
The Company’s futures contracts, foreign currency forward contracts, interest rate swaps and other derivatives trade in the over-the-counter derivative market. The Company uses the market approach valuation technique to estimate the fair value for these derivatives based on significant observable market inputs from third party pricing vendors, non-binding broker-dealer quotes and/or recent trading activity. As the significant inputs used in the pricing process for these derivative instruments are observable market inputs, the fair value of these securities are classified within Level 2.

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Short-term investments
The Company determined that certain of its short-term investments held in highly liquid money market-type funds, Treasury bills and commercial paper would be included in Level 1 as their fair values are based on quoted market prices in active markets. The fair values of other short-term investments are generally determined using the spread above the risk-free yield curve and are classified within Level 2.


Contingent consideration liabilities
Contingent consideration liabilities (included in ‘other liabilities’ in the consolidated balance sheets) include amounts related to the Company’s 2014 acquisition of CMG Mortgage Insurance Company and its affiliated mortgage insurance companies (the “CMG Entities”) and other acquisitions. Such amounts are remeasured at fair value at each balance sheet date with changes in fair value recognized in ‘net realized gains


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(losses).’ To determine the fair value of contingent consideration liabilities, the Company estimates future payments using an income approach based on modeled inputs
which include a weighted average cost of capital. The Company determined that contingent consideration liabilities would be included within Level 3.



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The following table presents the Company’s financial assets and liabilities measured at fair value by level at December 31, 2017:2020:
Fair Value Measurement Using:
Estimated
Fair Value
Quoted Prices in Active Markets for Identical Assets
(Level 1)
Significant Other Observable Inputs
(Level 2)
Significant Unobservable Inputs
(Level 3)
Assets measured at fair value (1):
Available for sale securities:
Fixed maturities:
Corporate bonds$7,856,571 $$7,856,558 $13 
Mortgage backed securities630,001 630,001 
Municipal bonds494,522 494,522 
Commercial mortgage backed securities389,900 389,900 
U.S. government and government agencies5,557,077 5,463,356 93,721 
Non-U.S. government securities2,433,733 2,433,733 
Asset backed securities1,634,804 1,631,378 3,426 
Total18,996,608 5,463,356 13,529,813 3,439 
Short-term investments1,924,922 1,920,565 4,357 
Equity securities, at fair value1,460,959 1,401,653 17,291 42,015 
Derivative instruments (4)177,383 177,383 
Fair value option:
Corporate bonds651,294 650,309 985 
Non-U.S. government bonds35,263 35,263 
Mortgage backed securities3,282 3,282 
Commercial mortgage backed securities1,090 1,090 
Asset backed securities152,151 152,151 
U.S. government and government agencies274 164 110 
Short-term investments557,008 420,131 136,877 
Equity securities92,549 23,373 188 68,988 
Other investments1,134,229 51,149 1,015,977 67,103 
Other investments measured at net asset value (2)1,197,656 
Total3,824,796 494,817 1,995,247 137,076 
Total assets measured at fair value$26,384,668 $9,280,391 $15,724,091 $182,530 
Liabilities measured at fair value:
Contingent consideration liabilities$(461)$$$(461)
Securities sold but not yet purchased (3)(21,679)(21,679)
Derivative instruments (4)(108,705)(108,705)
Total liabilities measured at fair value$(130,845)$$(130,384)$(461)
(1)    In securities lending transactions, the Company receives collateral in excess of the fair value of the securities pledged. For purposes of this table, the Company has excluded the collateral received under securities lending, at fair value and included the securities pledged under securities lending, at fair value. See Note 9.
(2)    In accordance with applicable accounting guidance, certain investments that are measured at fair value using the net asset value per share (or its equivalent) practical expedient have not been classified in the fair value hierarchy. The fair value amounts presented in this table are intended to permit reconciliation of the fair value hierarchy to the amounts presented in the consolidated balance sheets.
(3)    Represents the Company’s obligations to deliver securities that it did not own at the time of sale. Such amounts are included in “other liabilities” on the Company’s consolidated balance sheets.
(4)    See Note 11.

   Fair Value Measurement Using:
 
Estimated
Fair Value
 
Quoted Prices in Active Markets for Identical Assets
(Level 1)
 
Significant Other Observable Inputs
(Level 2)
 
Significant Unobservable Inputs
(Level 3)
Assets measured at fair value:       
Available for sale securities:       
Fixed maturities (1):       
Corporate bonds$4,434,439
 $
 $4,424,979
 $9,460
Mortgage backed securities316,141
 
 315,754
 387
Municipal bonds2,158,840
 
 2,158,840
 
Commercial mortgage backed securities545,817
 
 545,277
 540
U.S. government and government agencies3,484,257
 3,408,902
 75,355
 
Non-U.S. government securities1,612,754
 
 1,612,754
 
Asset backed securities1,780,143
 
 1,775,143
 5,000
Total14,332,391
 3,408,902
 10,908,102
 15,387
        
Equity securities504,333
 498,182
 6,151
 
        
Short-term investments1,469,042
 1,420,732
 48,310
 
        
Other investments76,427
 74,611
 1,816
 
Other investments measured at net asset value (2)188,562
      
Total other investments264,989
 74,611
 1,816
 
        
Derivative instruments (4)15,747
 
 15,747
 
        
Fair value option:       
Corporate bonds1,068,725
 
 1,056,508
 12,217
Non-U.S. government bonds195,788
 
 195,788
 
Mortgage backed securities20,491
 
 20,491
 
Municipal bonds15,210
 
 15,210
 
Commercial mortgage backed securities11,997
 
 11,997
 
Asset backed securities99,354
 
 99,354
 
U.S. government and government agencies231,290
 231,019
 271
 
Short-term investments297,426
 40,166
 257,260
 
Equity securities139,576
 67,440
 72,136
 
Other investments1,128,094
 82,291
 986,636
 59,167
Other investments measured at net asset value (2)1,008,287
      
Total4,216,238
 420,916
 2,715,651
 71,384
        
Total assets measured at fair value$20,802,740
 $5,823,343
 $13,695,777
 $86,771
        
Liabilities measured at fair value:       
Contingent consideration liabilities$(60,996) $
 $
 $(60,996)
Securities sold but not yet purchased (3)(34,375) 
 (34,375) 
Derivative instruments (4)(20,464) 
 (20,464) 
Total liabilities measured at fair value$(115,835) $
 $(54,839) $(60,996)
(1)In securities lending transactions, the Company receives collateral in excess of the fair value of the securities pledged. For purposes of this table, the Company has excluded the collateral received under securities lending, at fair value and included the securities pledged under securities lending, at fair value. See Note 9, “Investment Information—Securities Lending Agreements.”
(2)In accordance with applicable accounting guidance, certain investments that are measured at fair value using the net asset value per share (or its equivalent) practical expedient have not been classified in the fair value hierarchy. The fair value amounts presented in this table are intended to permit reconciliation of the fair value hierarchy to the amounts presented in the consolidated balance sheets.
(3)Represents the Company’s obligations to deliver securities that it did not own at the time of sale. Such amounts are included in “other liabilities” on the Company’s consolidated balance sheets.
(4)See Note 11, “Derivative Instruments.”


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The following table presents the Company’s financial assets and liabilities measured at fair value by level at December 31, 2016:2019:
Fair Value Measurement Using:
Estimated
Fair Value
Quoted Prices in Active Markets for Identical Assets
(Level 1)
Significant Other Observable Inputs
(Level 2)
Significant Unobservable Inputs
(Level 3)
Assets measured at fair value (1):
Available for sale securities:
Fixed maturities:
Corporate bonds$6,406,591 $$6,397,740 $8,851 
Mortgage backed securities562,309 562,055 254 
Municipal bonds881,926 881,926 
Commercial mortgage backed securities733,108 733,108 
U.S. government and government agencies4,916,592 4,805,581 111,011 
Non-U.S. government securities2,078,757 2,078,757 
Asset backed securities1,683,753 1,678,791 4,962 
Total17,263,036 4,805,581 12,443,388 14,067 
Equity securities, at fair value850,283 789,596 4,798 55,889 
Short-term investments956,546 904,804 51,742 
Derivative instruments (4)48,946 48,946 
Fair value option:
Corporate bonds488,402 487,470 932 
Non-U.S. government bonds50,465 50,465 
Mortgage backed securities11,947 11,947 
Municipal bonds377 377 
Commercial mortgage backed securities1,134 1,134 
Asset backed securities200,163 200,163 
U.S. government and government agencies1,962 1,852 110 
Short-term investments377,014 333,320 43,694 
Equity securities102,697 43,962 641 58,094 
Other investments1,418,273 53,287 1,296,169 68,817 
Other investments measured at net asset value (2)1,011,043 
Total3,663,477 432,421 2,092,170 127,843 
Total assets measured at fair value$22,782,288 $6,932,402 $14,641,044 $197,799 
Liabilities measured at fair value:
Contingent consideration liabilities$(7,998)$$$(7,998)
Securities sold but not yet purchased (3)(66,257)(66,257)
Derivative instruments (4)(39,750)(39,750)
Total liabilities measured at fair value$(114,005)$$(106,007)$(7,998)
(1)    In securities lending transactions, the Company receives collateral in excess of the fair value of the securities pledged. For purposes of this table, the Company has excluded the collateral received under securities lending, at fair value and included the securities pledged under securities lending, at fair value. See Note 9.
(2)    In accordance with applicable accounting guidance, certain investments that are measured at fair value using the net asset value per share (or its equivalent) practical expedient have not been classified in the fair value hierarchy. The fair value amounts presented in this table are intended to permit reconciliation of the fair value hierarchy to the amounts presented in the consolidated balance sheets.
(3)    Represents the Company’s obligations to deliver securities that it did not own at the time of sale. Such amounts are included in “other liabilities” on the Company’s consolidated balance sheets.
(4)    See Note 11.


   Fair Value Measurement Using:
 
Estimated
Fair Value
 
Quoted Prices in Active Markets for Identical Assets
(Level 1)
 
Significant Other Observable Inputs
(Level 2)
 
Significant Unobservable Inputs
(Level 3)
Assets measured at fair value:       
Available for sale securities:       
Fixed maturities (1):       
Corporate bonds$4,392,373
 $
 $4,374,029
 $18,344
Mortgage backed securities490,093
 
 490,093
 
Municipal bonds3,713,434
 
 3,713,434
 
Commercial mortgage backed securities536,051
 
 536,051
 
U.S. government and government agencies2,804,540
 2,691,575
 112,965
 
Non-U.S. government securities1,096,440
 
 1,096,440
 
Asset backed securities1,123,987
 
 1,112,698
 11,289
Total14,156,918
 2,691,575
 11,435,710
 29,633
        
Equity securities532,680
 529,695
 2,985
 
        
Short-term investments612,005
 608,862
 3,143
 
        
Other investments112,313
 112,313
 
 
Other investments measured at net asset value (2)55,657
      
Total other investments167,970
 112,313
 
 
        
Derivative instruments (4)28,410
 
 28,410
 
        
Fair value option:       
Corporate bonds790,935
 
 790,935
 
Non-U.S. government bonds61,747
 
 61,747
 
Mortgage backed securities18,624
 
 18,624
 
Asset backed securities30,324
 
 30,324
 
U.S. government and government agencies197,486
 197,486
 
 
Short-term investments373,669
 309,127
 64,542
 
Equity securities27,642
 25,328
 2,314
 
Other investments1,226,242
 80,706
 1,120,536
 25,000
Other investments measured at net asset value (2)694,551
      
Total3,421,220
 612,647
 2,089,022
 25,000
        
Total assets measured at fair value$18,919,203
 $4,555,092
 $13,559,270
 $54,633
        
Liabilities measured at fair value:       
Contingent consideration liabilities$(122,350) $
 $
 $(122,350)
Securities sold but not yet purchased (3)(33,157) 
 (33,157) 
Derivative instruments (4)(26,049) 
 (26,049) 
Total liabilities measured at fair value$(181,556) $
 $(59,206) $(122,350)
(1)In securities lending transactions, the Company receives collateral in excess of the fair value of the securities pledged. For purposes of this table, the Company has excluded the collateral received under securities lending, at fair value and included the securities pledged under securities lending, at fair value. See Note 9, “Investment Information—Securities Lending Agreements.”
(2)In accordance with applicable accounting guidance, certain investments that are measured at fair value using the net asset value per share (or its equivalent) practical expedient have not been classified in the fair value hierarchy. The fair value amounts presented in this table are intended to permit reconciliation of the fair value hierarchy to the amounts presented in the consolidated balance sheets.
(3)Represents the Company’s obligations to deliver securities that it did not own at the time of sale. Such amounts are included in “other liabilities” on the Company’s consolidated balance sheets.
(4)See Note 11, “Derivative Instruments.”



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The following table presents a reconciliation of the beginning and ending balances for all financial assets and liabilities measured at fair value on a recurring basis using Level 3 inputs for 20172020 and 2016:2019:
AssetsLiabilities
Available For SaleFair Value OptionFair Value
Structured Securities (1)Corporate BondsCorporate BondsOther InvestmentsEquity SecuritiesEquity SecuritiesContingent
Consideration
Liabilities
Year Ended December 31, 2020
Balance at beginning of year$5,216 $8,851 $932 $68,817 $58,094 $55,889 $(7,998)
Total gains or (losses) (realized/unrealized)
Included in earnings (2)(5,865)(13)(314)10,894 8,214 (72)
Included in other comprehensive income(169)397 
Purchases, issuances, sales and settlements
Purchases66 52,449 4,030 
Issuances
Sales(56,833)(26,118)
Settlements(1,413)(1,462)7,609 
Transfers in and/or out of Level 3(208)(1,908)2,984 
Balance at end of year$3,426 $13 $985 $67,103 $68,988 $42,015 $(461)
Year Ended December 31, 2019
Balance at beginning of year$313 $8,141 $5,758 $62,705 $$$(66,665)
Total gains or (losses) (realized/unrealized)
Included in earnings (2)1,760 (162)(8,119)1,949 (3,418)(1,478)
Included in other comprehensive income(267)
Purchases, issuances, sales and settlements
Purchases881 3,746 36,077 
Issuances(548)
Sales(1,757)(28,583)(20,495)(27,982)
Settlements(552)(1,766)(600)60,693 
Transfers in and/or out of Level 35,449 1,860 23,919 31,580 56,145 51,212 
Balance at end of year$5,216 $8,851 $932 $68,817 $58,094 $55,889 $(7,998)
   Assets Liabilities
 Available For Sale Fair Value Option    
 Structured Securities (1) Corporate Bonds Corporate Bonds Other Investments Total 
Contingent
Consideration
Liabilities
Year Ended December 31, 2017           
Balance at beginning of year$11,289
 $18,344
 $
 $25,000
 $54,633
 $(122,350)
Total gains or (losses) (realized/unrealized)           
Included in earnings (2)3,779
 688
 1,021
 4
 5,492
 (10,837)
Included in other comprehensive income7
 713
 
 
 720
 
Purchases, issuances, sales and settlements           
Purchases
 4,935
 
 1,348
 6,283
 
Issuances
 
 
 
 
 
Sales(13,640) (14,897) 
 
 (28,537) 
Settlements(1,457) (455) (275) (901) (3,088) 72,191
Transfers in and/or out of Level 35,949
 132
 11,471
 33,716
 51,268
 
Balance at end of year$5,927
 $9,460
 $12,217
 $59,167
 $86,771
 $(60,996)
            
Year Ended December 31, 2016           
Balance at beginning of year$57,500
 $16,368
 $
 $
 $73,868
 $(96,048)
Total gains or (losses) (realized/unrealized)           
Included in earnings (2)(14,730) 1,200
 
 
 (13,530) (26,912)
Included in other comprehensive income
 
 
 
 
 74
Purchases, issuances, sales and settlements           
Purchases
 776
 
 
 776
 
Issuances
 
 
 
 
 
Sales
 
 
 
 
 
Settlements(31,481) 
 
 
 (31,481) 536
Transfers in and/or out of Level 3
 
 
 25,000
 25,000
 
Balance at end of year$11,289
 $18,344
 $
 $25,000
 $54,633
 $(122,350)
(1)(1)    Includes asset backed securities, mortgage backed securities and commercial mortgage backed securities.
(2)Gains or losses on asset backed securities were included in net impairment losses recognized in earnings while gains or losses on corporate bonds and contingent consideration liabilities were included in net realized gains (losses).


(2)    Gains or losses were included in net realized gains (losses).

Financial Instruments Disclosed, But Not Carried, At Fair Value
The Company uses various financial instruments in the normal course of its business. The carrying values of cash, accrued investment income, receivable for securities sold, certain other assets, payable for securities purchased and certain other liabilities approximated their fair values at December 31, 2017,2020, due to their respective short maturities. As these financial instruments are not actively traded, their respective fair values are classified within Level 2.
At December 31, 2017,2020, the Company’s senior notes were carried at their cost, net of debt issuance costs, of $1.73$2.9 billion and had a fair value of $2.04$3.7 billion. At December 31, 2016,2019, the Company’s senior notes were carried at their cost, net of debt issuance costs, of $1.73$1.9 billion and had a fair value of $1.90$2.3 billion. The fair values of the senior notes were obtained from a third party pricing service and are based on observable
market inputs. As such, the fair value of the senior notes is classified within Level 2.
Fair Value Measurements on a Non-Recurring Basis
The Company measures the fair value of certain assets on a non-recurring basis, generally quarterly, annually, or when events or changes in circumstances indicate that the carrying amount of the assets may not be recoverable. These assets include investment fundsinvestments accounted for using the equity method, certain other investments, goodwill and intangible assets, and long-lived assets. The Company uses a variety of techniques to measure the fair value of these assets when appropriate, as described below:
Investments accounted for using the equity method. When the Company determines that the carrying value of these assets may not be recoverable, the Company records the assets at fair value with the loss recognized in income. In such cases,

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the Company measures the fair value of these assets using the techniques discussed above in “—Fair Value Measurements on a Recurring Basis.”


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Goodwill and Intangible Assets. The Company tests goodwill and intangible assets for impairment whenever events or changes in circumstances indicate the carrying amount may not be recoverable. When the Company determines goodwill and intangible assets may be impaired, the Company uses techniques including discounted expected future cash flows, to measure fair value.
Long-Lived Assets. The Company tests its long-lived assets for impairment whenever events or changes in circumstances indicate the carrying amount of a long-lived asset may not be recoverable.
11.    Derivative Instruments
The Company’s investment strategy allows for the use of derivative instruments. The Company’s derivative instruments are recorded on its consolidated balance sheets at fair value. The Company utilizes exchange traded U.S. Treasury note, Eurodollar and other futures contracts and commodity futures to manage portfolio duration or replicate investment positions in its portfolios and the Company routinely utilizes foreign currency forward contracts, currency options, index futures contracts and other derivatives as part of its total return objective. In addition, certain of the Company’s investments are managed in portfolios which incorporate the use of foreign currency forward contracts which are intended to provide an economic hedge against foreign currency movements.
In addition, the Company purchases to-be-announced mortgage backed securities (“TBAs”) as part of its investment strategy. TBAs represent commitments to purchase a future issuance of agency mortgage backed securities. For the period between purchase of a TBA and issuance of the underlying security, the Company’s position is accounted for as a derivative. The Company purchases TBAs in both long and short positions to enhance investment performance and as part of its overall investment strategy.
The following table summarizes information on the fair values and notional values of the Company’s derivative instruments:
Estimated Fair Value
 Asset
Derivatives
Liability DerivativesNotional
Value (1)
December 31, 2020   
Futures contracts (2)$11,046 $(4,496)$3,099,796 
Foreign currency forward contracts (2)52,716 (6,202)1,656,729 
TBAs (3)
Other (2)113,621 (98,007)5,763,919 
Total$177,383 $(108,705)
December 31, 2019   
Futures contracts (2)$10,065 $(13,722)$4,104,559 
Foreign currency forward contracts (2)5,352 (5,327)686,878 
TBAs (3)55,010 53,229 
Other (2)33,529 (20,701)4,356,300 
Total$103,956 $(39,750)
 Estimated Fair Value  
 Asset
Derivatives
 Liability Derivatives 
Notional
Value (1)
December 31, 2017 
  
  
Futures contracts (2)$3,371
 $(1,542) $1,452,497
Foreign currency forward contracts (2)4,478
 (4,381) 686,941
TBAs (3)27,184
 
 27,066
Other (2)7,898
 (14,541) 1,457,345
Total$42,931
 $(20,464)  
      
December 31, 2016 
  
  
Futures contracts (2)$360
 $(9,398) $1,655,530
Foreign currency forward contracts (2)9,354
 (12,941) 1,186,386
TBAs (3)
 
 
Other (2)20,287
 (3,710) 1,014,863
Total$30,001
 $(26,049)  
(1)    Represents the absolute notional value of all outstanding contracts, consisting of long and short positions.
(1)Represents the absolute notional value of all outstanding contracts, consisting of long and short positions.
(2)The fair value of asset derivatives are included in ‘other assets’ and the fair value of liability derivatives are included in ‘other liabilities.’ Such amounts include risk in force on GSE credit-risk sharing transactions that are accounted for as derivatives.
(3)The fair value of TBAs are included in ‘fixed maturities available for sale, at fair value.’
(2)    The fair value of asset derivatives are included in ‘other assets’ and the fair value of liability derivatives are included in ‘other liabilities.’
(3)    The fair value of TBAs are included in ‘fixed maturities available for sale, at fair value.’
The Company did not hold any derivatives which were designated as hedging instruments at December 31, 20172020 or 2016.2019.
The Company’s derivative instruments can be traded under master netting agreements, which establish terms that apply to all derivative transactions with a counterparty. In the event of a bankruptcy or other stipulated event of default, such agreements provide that the non-defaulting party may elect to terminate all outstanding derivative transactions, in which case all individual derivative positions (loss or gain) with a counterparty are closed out and netted and replaced with a single amount, usually referred to as the termination amount, which is expressed in a single currency. The resulting single net amount, where positive, is payable to the party “in-the-money” regardless of whether or not it is the defaulting party, unless the parties have agreed that only the non-defaulting party is entitled to receive a termination payment where the net amount is positive and is in its favor. Effectively, contractual close-out netting reduces the derivatives credit exposure from a gross to a net exposure.
At December 31, 2017, $40.62020, $138.8 million and $19.6$93.0 million, respectively, of asset derivatives and liability derivatives were subject to a master netting agreement compared to $28.4$97.8 million and $26.0$37.8 million, respectively, at December 31, 2016.2019. The remaining derivatives included in the table above were not subject to a master netting agreement.



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included in the table above were not subject to a master netting agreement.
All realizedRealized and unrealized contract gains and losses on the Company’s derivative instruments are reflected in net realized gains (losses) in the consolidated statements of income, as summarized in the following table:
Derivatives not designated as hedging instrumentsYear Ended December 31,
202020192018
Net realized gains (losses):
Futures contracts$114,987 $114,123 $48,443 
Foreign currency forward contracts49,974 (9,499)(21,770)
TBAs1,129 463 (133)
Other13,585 14,654 (10,904)
Total$179,675 $119,741 $15,636 
Derivatives not designated as hedging instruments Year Ended December 31,
 2017 2016 2015
Net realized gains (losses):      
Futures contracts $9,318
 $(5,474) $(21,533)
Foreign currency forward contracts (14,495) (9,588) 16,045
TBAs 9
 577
 1,452
Other (2,188) (8,127) (3,078)
Total $(7,356) $(22,612) $(7,114)
12. Variable Interest Entity and Noncontrolling Interests
Watford Holdings Ltd.
In March 2014, Watford raised approximately $1.1 billion of capital consisting of $907.3 million in common equity ($895.6 million net of issuance costs) and $226.6 million in preference equity ($219.2 million net of issuance costs and discount). The Company invested $100.0 million and acquired 2,500,000 common shares. Watford’s common shares are listed on the Nasdaq Select Global Market under the ticker symbol “WTRE”. As of December 31, 2020, the Company owned approximately 13% of Watford’s outstanding common equity and, as of February 16, 2021, Arch Re Bermuda owned approximately 10.3% of Watford’s common equity.
Subsidiaries of the Company act as Watford’s reinsurance and insurance underwriting managers. HPS Investment Partners, LLC (“HPS”) manages Watford’s non-investment grade credit portfolios, and the Company manages Watford’s investment grade portfolios, each under separate long term services agreements. Maamoun Rajeh and Nicolas Papadopoulo, both officers of the Company, serve on the board of directors of Watford.
The Company concluded that Watford is a VIE and that the Company is the primary beneficiary. The Company includes the results of Watford in its consolidated financial statements. The Company concluded that Watford should be reflected in a separate operating segment (‘other’) and provides the income statement and total investable assets, total assets and total liabilities of Watford within Note 4.
Because Watford is an independent company, the assets of Watford can be used only to settle obligations of Watford and Watford is solely responsible for its own liabilities and commitments. The Company’s financial exposure to Watford is limited to its investment in Watford’s senior notes, common shares and preferred shares and counterparty credit
risk (mitigated by collateral) arising from the reinsurance transactions.
In the 2020 fourth quarter, Arch Capital, Watford Holdings Ltd. and Greysbridge Ltd., a wholly-owned subsidiary of Arch Capital, entered into an Agreement and Plan of Merger (as amended, the “Merger Agreement”) pursuant to which, among other things, Arch Capital agreed to acquire all of the common shares of Watford Holdings Ltd. not owned by Arch for a cash purchase price of $35.00 per common share. Arch Capital has assigned its rights under the Merger Agreement to Greysbridge Holdings Ltd., a wholly-owned subsidiary of Arch Capital (“Greysbridge”). The transaction is expected to close in the first half of 2021 and remains subject to customary closing conditions, including regulatory and shareholder approvals. Upon closing of the transaction, Watford will be wholly owned by Greysbridge and Greysbridge will be owned 40% by Arch Re Bermuda, 30% by certain investment funds managed by Kelso & Company and 30% by certain investment funds managed by Warburg Pincus LLC.

12.
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The following table provides the carrying amount and balance sheet caption in which the assets and liabilities of Watford are reported:
December 31,
20202019
Assets
Investments accounted for using the fair value option (1)$1,790,385 $1,898,091 
Fixed maturities available for sale, at fair value655,249 745,708 
Equity securities, at fair value52,410 65,338 
Cash211,451 102,437 
Accrued investment income14,679 14,025 
Premiums receivable224,377 273,657 
Reinsurance recoverable on unpaid and paid losses and LAE286,590 170,973 
Ceded unearned premiums122,339 132,577 
Deferred acquisition costs, net53,705 64,044 
Receivable for securities sold37,423 16,287 
Goodwill and intangible assets7,650 7,650 
Other assets75,801 60,070 
Total assets of consolidated VIE$3,532,059 $3,550,857 
Liabilities
Reserves for losses and loss adjustment expenses$1,519,583 $1,263,628 
Unearned premiums407,714 438,907 
Reinsurance balances payable63,269 77,066 
Revolving credit agreement borrowings155,687 484,287 
Senior notes172,689 172,418 
Payable for securities purchased25,881 18,180 
Other liabilities193,494 171,714 
Total liabilities of consolidated VIE$2,538,317 $2,626,200 
Redeemable noncontrolling interests$52,398 $52,305 
(1) Included in “other investments” on the Company’s balance sheet.
The following table summarizes Watford’s cash flow from operating, investing and financing activities.
Year Ended December 31,
202020192018
Total cash provided by (used for):
Operating activities181,736 239,284 229,315 
Investing activities258,589 (140,620)(285,281)
Financing activities(335,776)(61,433)(2,406)
Non-redeemable noncontrolling interests
The Company accounts for the portion of Watford’s common equity attributable to third party investors in the shareholders’ equity section of its consolidated balance sheets. The noncontrolling ownership in Watford’s common shares was approximately 87% at December 31, 2020. The portion of Watford’s income or loss attributable to third party investors
is recorded in the consolidated statements of income in ‘net (income) loss attributable to noncontrolling interests.’
The following table sets forth activity in the non-redeemable noncontrolling interests:
December 31,
 2020

2019
Balance, beginning of year$762,777 $791,560 
Additional paid in capital attributable to noncontrolling interests1,334 (2,929)
Repurchases attributable to non-redeemable noncontrolling interests (1)
(2,867)(75,056)
Amounts attributable to noncontrolling interests53,076 40,072 
Other amounts attributable to noncontrolling interests(375)
Other comprehensive (income) loss attributable to noncontrolling interests9,062 9,130 
Balance, end of year$823,007 $762,777 
(1) During 2020 and 2019, Watford’s board of directors authorized the investment in Watford’s common shares through a share repurchase program.
Redeemable noncontrolling interests
The Company accounts for redeemable noncontrolling interests in the mezzanine section of its consolidated balance sheets in accordance with applicable accounting guidance. Such redeemable noncontrolling interests primarily relate to the Watford Preference Shares issued in late March 2014 with a par value of $0.01 per share and a liquidation preference of $25.00 per share. The Watford Preference Shares were issued at a discounted amount of $24.50 per share. Holders of the Watford Preference Shares will be entitled to receive, if declared by Watford’s board, quarterly cash dividends on the last day of March, June, September, and December. Dividends accrued from the closing date to June 30, 2019 at a fixed rate of 8.5% per annum. From June 30, 2019 and subsequent, dividends will accrue based on a floating rate equal to the 3 month U.S. dollar LIBOR (with a 1% floor) plus a margin based on the difference between the fixed rate and the 5 year mid swap rate to the floating rate. Preferred dividends, including the accretion of the discount and issuance costs, are included in ‘net (income) loss attributable to noncontrolling interests’ in the Company’s consolidated statements of income. Because the redemption features are not solely within the control of Watford, the Company accounts for the redeemable noncontrolling interests in the Watford Preference Shares in the mezzanine section of its consolidated balance sheets.
On August 1, 2019, Watford redeemed 6,919,998 of its 9,065,200 issued and outstanding preference shares (“Watford Preference Shares”) at a total redemption price of $25.19748 per share, inclusive of all declared and unpaid dividends. The Company received $11.5 million pursuant to the redemption of Watford Preference Shares.

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Preferred dividends on the Watford Preference Shares, including the accretion of the discount and issuance costs, was $4.4 million for 2020, compared to $17.8 million for 2019 and $19.6 million for 2018.
The following table sets forth activity in the redeemable noncontrolling interests:
December 31,
 2020

20192018
Balance, beginning of year$55,404 $206,292 $205,922 
Redemption of noncontrolling interests(157,709)
Accretion of preference share issuance costs93 244 370 
Other3,051 6,577 
Balance, end of year$58,548 $55,404 $206,292 
The portion of income or loss attributable to third party investors is recorded in the consolidated statements of income in ‘net (income) loss attributable to noncontrolling interests’ as summarized in the table below:
December 31,
 202020192018
Amounts attributable to non-redeemable noncontrolling interests$(53,076)$(40,072)$48,507 
Amounts attributable to redeemable noncontrolling interests(7,114)(16,909)(18,357)
Net (income) loss attributable to noncontrolling interests$(60,190)$(56,981)$30,150 
Bellemeade Re

The Company has entered into various aggregate excess of loss mortgage reinsurance agreements with various special purpose reinsurance companies domiciled in Bermuda (the Bellemeade Agreements). At the time the Bellemeade Agreements were entered into, the applicability of the accounting guidance that addresses VIEs was evaluated. As a result of the evaluation of the Bellemeade Agreements, the Company concluded that these entities are VIEs. However, given that the ceding insurers do not have the unilateral power to direct those activities that are significant to their economic performance, the Company does not consolidate such entities in its consolidated financial statements.
The following table presents the total assets of the Bellemeade entities, as well as the Company’s maximum exposure to loss associated with these VIEs, calculated as the maximum historical observable spread between the one month LIBOR, the basis for the contractual payments to bond holders, and short term invested trust asset yields.
Maximum Exposure to Loss
Bellemeade Entities (Issue Date)Total VIE AssetsOn-Balance Sheet (Asset) LiabilityOff-Balance SheetTotal
Dec 31, 2020
Bellemeade 2017-1 Ltd. (Oct-17)$145,573 $(245)$844 $599 
Bellemeade 2018-1 Ltd. (Apr-18)250,095 (903)2,245 1,342 
Bellemeade 2018-2 Ltd. (Aug-18)108,395 (138)280 142 
Bellemeade 2018-3 Ltd. (Oct-18)302,563 (1,320)3,262 1,942 
Bellemeade 2019-1 Ltd. (Mar-19)219,256 (1,361)8,461 7,100 
Bellemeade 2019-2 Ltd. (Apr-19)398,316 (730)5,201 4,471 
Bellemeade 2019-3 Ltd. (Jul-19)528,084 (861)5,079 4,218 
Bellemeade 2019-4 Ltd. (Oct-19)468,737 (890)6,676 5,786 
Bellemeade 2020-1 Ltd. (Jun-20) (1)275,068 (178)1,012 834 
Bellemeade 2020-2 Ltd. (Sep-20) (2)423,420 (556)6,839 6,283 
Bellemeade 2020-3 Ltd. (Nov-20) (3)418,158 (631)9,605 8,974 
Bellemeade 2020-4 Ltd. (Dec-20) (4)321,393 (156)6,816 6,660 
Total$3,859,058 $(7,969)$56,320 $48,351 
Dec 31, 2019
Bellemeade 2017-1 Ltd. (Oct-17)$216,429 $(442)$2,794 $2,352 
Bellemeade 2018-1 Ltd. (Apr-18)328,482 (1,574)5,757 4,183 
Bellemeade 2018-2 Ltd. (Aug-18)437,009 (877)2,524 1,647 
Bellemeade 2018-3 Ltd. (Oct-18)426,806 (1,113)3,937 2,824 
Bellemeade 2019-1 Ltd. (Mar-19)257,358 (226)3,027 2,801 
Bellemeade 2019-2 Ltd. (Apr-19)525,959 (78)2,579 2,501 
Bellemeade 2019-3 Ltd. (Jul-19)656,523 (585)9,273 8,688 
Bellemeade 2019-4 Ltd. (Oct-19)577,267 (302)12,193 11,891 
Total$3,425,833 $(5,197)$42,084 $36,887 

(1)  An additional $79 million capacity was provided directly to Arch MI U.S. by a separate panel of reinsurers and is not reflected in this table.
(2)  An additional $26 million capacity was provided directly to Arch MI U.S. by a separate panel of reinsurers and is not reflected in this table.
(3) An additional $34 million capacity was provided directly to Arch MI U.S. by a separate panel of reinsurers and is not reflected in this table.
(4) An additional $16 million capacity was provided directly to Arch MI U.S. by a separate panel of reinsurers and is not reflected in this table.

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13.     Other Comprehensive Income (Loss)


The following table presents the changes in each component of AOCI, net of noncontrolling interests:
 Unrealized Appreciation on Available-For-Sale Investments Foreign Currency Translation Adjustments Total
Year Ended December 31, 2017     
Beginning balance$(27,641) $(86,900) $(114,541)
Other comprehensive income (loss) before reclassifications252,904
 47,544
 300,448
Amounts reclassified from accumulated other comprehensive income(67,863) 
 (67,863)
Net current period other comprehensive income (loss)185,041
 47,544
 232,585
Ending balance$157,400
 $(39,356) $118,044
      
Year Ended December 31, 2016     
Beginning balance$50,085
 $(66,587) $(16,502)
Other comprehensive income (loss) before reclassifications(21,365) (20,313) (41,678)
Amounts reclassified from accumulated other comprehensive income(56,361) 
 (56,361)
Net current period other comprehensive income (loss)(77,726) (20,313) (98,039)
Ending balance$(27,641) $(86,900) $(114,541)
      
Year Ended December 31, 2015     
Beginning balance$161,598
 $(32,742) $128,856
Other comprehensive income (loss) before reclassifications(83,280) (33,845) (117,125)
Amounts reclassified from accumulated other comprehensive income(28,233) 
 (28,233)
Net current period other comprehensive income (loss)(111,513) (33,845) (145,358)
Ending balance$50,085
 $(66,587) $(16,502)


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Unrealized Appreciation on Available-For-Sale InvestmentsForeign Currency Translation AdjustmentsTotal
Year Ended December 31, 2020
Beginning balance$258,486 $(46,395)$212,091 
Other comprehensive income (loss) before reclassifications668,996 33,995 702,991 
Amounts reclassified from accumulated other comprehensive income(426,187)(426,187)
Net current period other comprehensive income (loss)242,809 33,995 276,804 
Ending balance$501,295 $(12,400)$488,895 
Year Ended December 31, 2019
Beginning balance$(114,178)$(64,542)$(178,720)
Other comprehensive income (loss) before reclassifications491,605 18,147 509,752 
Amounts reclassified from accumulated other comprehensive income(118,941)(118,941)
Net current period other comprehensive income (loss)372,664 18,147 390,811 
Ending balance$258,486 $(46,395)$212,091 
Year Ended December 31, 2018
Beginning balance$157,400 $(39,356)$118,044 
Cumulative effect of an accounting change(149,794)(149,794)
Other comprehensive income (loss) before reclassifications(266,357)(25,186)(291,543)
Amounts reclassified from accumulated other comprehensive income144,573 144,573 
Net current period other comprehensive income (loss)(121,784)(25,186)(146,970)
Ending balance$(114,178)$(64,542)$(178,720)
The following tables present details about amounts reclassified from accumulated other comprehensive income and the tax effects allocated to each component of other comprehensive income (loss):
Consolidated Statement of IncomeAmounts Reclassified from AOCI
Details AboutLine Item That IncludesYear Ended December 31,
 AOCI ComponentsReclassification202020192018
Unrealized appreciation on available-for-sale investments
Net realized gains (losses)$478,659 $131,043 $(153,822)
Provision for credit losses(3,597)
Other-than-temporary impairment losses(533)(3,165)(2,829)
Total before tax474,529 127,878 (156,651)
Income tax (expense) benefit(48,342)(8,937)12,078 
Net of tax$426,187 $118,941 $(144,573)

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  Consolidated Statement of Income Amounts Reclassified from AOCI
Details About Line Item That Includes Year Ended December 31,
 AOCI Components Reclassification 2017 2016 2015
Unrealized appreciation on available-for-sale investments      
  Net realized gains $82,542
 $95,448
 $62,817
  Other-than-temporary impairment losses (7,138) (30,794) (26,152)
  Total before tax 75,404
 64,654
 36,665
  Income tax (expense) benefit (7,541) (8,293) (8,432)
  Net of tax $67,863
 $56,361
 $28,233
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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

Following are the related tax effects allocated to each component of other comprehensive income (loss):
Before TaxTax ExpenseNet of Tax
Amount(Benefit)Amount
Year Ended December 31, 2020
Unrealized appreciation (decline) in value of investments:
Unrealized holding gains (losses) arising during period$754,572 $75,855 $678,717 
Less reclassification of net realized gains (losses) included in net income474,529 48,342 426,187 
Foreign currency translation adjustments33,706 370 33,336 
Other comprehensive income (loss)$313,749 $27,883 $285,866 
Year Ended December 31, 2019
Unrealized appreciation (decline) in value of investments:
Unrealized holding gains (losses) arising during period$562,576 $61,805 $500,771 
Less reclassification of net realized gains (losses) included in net income127,878 8,937 118,941 
Foreign currency translation adjustments18,463 353 18,110 
Other comprehensive income (loss)$453,161 $53,221 $399,940 
Year Ended December 31, 2018
Unrealized appreciation (decline) in value of investments:
Unrealized holding gains (losses) arising during period$(294,267)$(24,210)$(270,057)
Less reclassification of net realized gains (losses) included in net income(156,651)(12,078)(144,573)
Foreign currency translation adjustments(25,006)(176)(24,830)
Other comprehensive income (loss)$(162,622)$(12,308)$(150,314)
 Before Tax Tax Expense Net of Tax
 Amount (Benefit) Amount
Year Ended December 31, 2017     
Unrealized appreciation (decline) in value of investments:     
Unrealized holding gains (losses) arising during period$266,559
 $13,655
 $252,904
Portion of other-than-temporary impairment losses recognized in other comprehensive income (loss)
 
 
Less reclassification of net realized gains (losses) included in net income75,404
 7,541
 67,863
Foreign currency translation adjustments47,549
 535
 47,014
Other comprehensive income (loss)$238,704
 $6,649
 $232,055
      
Year Ended December 31, 2016     
Unrealized appreciation (decline) in value of investments:     
Unrealized holding gains (losses) arising during period$(26,159) $(5,146) $(21,013)
Portion of other-than-temporary impairment losses recognized in other comprehensive income (loss)(352) 
 (352)
Less reclassification of net realized gains (losses) included in net income64,654
 8,293
 56,361
Foreign currency translation adjustments(20,120) 261
 (20,381)
Other comprehensive income (loss)$(111,285) $(13,178) $(98,107)
      
Year Ended December 31, 2015     
Unrealized appreciation (decline) in value of investments:     
Unrealized holding gains (losses) arising during period$(77,311) $(67) $(77,244)
Portion of other-than-temporary impairment losses recognized in other comprehensive income (loss)(6,036) 
 (6,036)
Less reclassification of net realized gains (losses) included in net income36,665
 8,432
 28,233
Foreign currency translation adjustments(35,679) (1,568) (34,111)
Other comprehensive income (loss)$(155,691) $(10,067) $(145,624)





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13.14.    Earnings Per Common Share
The calculation of basic earnings per common share is computed by dividing income available to Arch common shareholders by the weighted average number of Common Shares and common share equivalents outstanding. The following table sets forth the computation of basic and diluted earnings per common share:
Year Ended December 31,
202020192018
Numerator:
Net income$1,465,711 $1,693,300 $727,821 
Amounts attributable to noncontrolling interests(60,190)(56,981)30,150 
Net income available to Arch1,405,521 1,636,319 757,971 
Preferred dividends(41,612)(41,612)(41,645)
Loss on redemption of preferred shares(2,710)
Net income available to Arch common shareholders$1,363,909 $1,594,707 $713,616 
Denominator:
Weighted average common shares outstanding403,062,179 401,802,815 401,036,376 
Series D preferred securities (1)3,311,245 
Weighted average common shares outstanding – basic403,062,179 401,802,815 404,347,621 
Effect of dilutive common share equivalents:
Nonvested restricted shares1,682,309 1,673,770 1,474,207 
Stock options (2)5,514,967 8,132,893 7,084,650 
Weighted average common shares and common share equivalents outstanding – diluted410,259,455 411,609,478 412,906,478 
Earnings per common share:
Basic$3.38 $3.97 $1.76 
Diluted$3.32 $3.87 $1.73 
(1)     The company has determined that, based on a review of the terms, features and rights of the Company’s non-voting common equivalent preferred shares compared to the rights of the Company’s common shareholders, the underlying common shares that the convertible securities convert to were common share equivalents at the time of their issuance.
(2)    Certain stock options were not included in the computation of diluted earnings per share where the exercise price of the stock options exceeded the average market price and would have been anti-dilutive or where, when applying the treasury stock method to in-the-money options, the sum of the proceeds, including unrecognized compensation, exceeded the average market price and would have been anti-dilutive. For 2020, 2019 and 2018, the number of stock options excluded were 2,249,821, 1,302,017 and 5,673,821, respectively.
 Year Ended December 31,
 2017 2016 2015
Numerator:     
Net income$629,709
 $824,178
 $526,582
Amounts attributable to noncontrolling interests(10,431) (131,440) 11,156
Net income available to Arch619,278
 692,738
 537,738
Preferred dividends(46,041) (28,070) (21,938)
Loss on redemption of preferred shares(6,735) 
 
Net income available to Arch common shareholders$566,502
 $664,668
 $515,800
      
Denominator:     
Weighted average common shares outstanding125,843,876
 120,757,243
 121,786,127
Series D preferred securities (1)8,868,912
 34,871
 
Weighted average common shares outstanding – basic134,712,788
 120,792,114
 121,786,127
Effect of dilutive common share equivalents:     
Nonvested restricted shares1,312,198
 1,292,359
 1,253,938
Stock options (2)3,236,689
 2,633,020
 2,998,678
Weighted average common shares and common share equivalents outstanding – diluted139,261,675
 124,717,493
 126,038,743
      
Earnings per common share:     
Basic$4.21
 $5.50
 $4.24
Diluted$4.07
 $5.33
 $4.09
15.     Income Taxes
(1)The company has determined that, based on a review of the terms, features and rights of the Company’s non-voting common equivalent preferred shares compared to the rights of the Company’s common shareholders, the underlying common shares that the convertible securities convert to were common share equivalents at the time of their issuance.
(2)Certain stock options were not included in the computation of diluted earnings per share where the exercise price of the stock options exceeded the average market price and would have been anti-dilutive or where, when applying the treasury stock method to in-the-money options, the sum of the proceeds, including unrecognized compensation, exceeded the average market price and would have been anti-dilutive. For 2017, 2016 and 2015, the number of stock options excluded were 867,817, 722,729 and 799,535, respectively.
14.     Income Taxes
Arch Capital is incorporated under the laws of Bermuda and, under current Bermuda law, is not obligated to pay any taxes in Bermuda based upon income or capital gains. The Company has received a written undertaking from the Minister of Finance in Bermuda under the Exempted Undertakings Tax Protection Act 1966 that, in the event that any legislation is enacted in Bermuda imposing any tax computed on profits, income, gain or appreciation on any capital asset, or any tax in the nature of estate duty or inheritance tax, such tax will not be applicable to Arch Capital or any of its operations until March 31, 2035. This undertaking does not, however, prevent the imposition of taxes on any person ordinarily resident in Bermuda or any company in respect of its ownership of real property or leasehold interests in Bermuda.
Arch Capital and its non-U.S. subsidiaries will be subject to U.S. federal income tax only to the extent that they derive U.S.
source income that is subject to U.S. withholding tax or income that is effectively connected with the conduct of a trade or business within the U.S. and is not exempt from U.S. tax under an applicable income tax treaty with the U.S. Arch Capital and its non-U.S. subsidiaries will be subject to a withholding tax on dividends from U.S. investments and interest from certain U.S. payors (subject to reduction by any applicable income tax treaty). Arch Capital and its non-U.S. subsidiaries intend to conduct their operations in a manner that will not cause them to be treated as engaged in a trade or business in the United States and, therefore, will not be required to pay U.S. federal income taxes (other than U.S. excise taxes on insurance and reinsurance premium and withholding taxes on dividends and certain other U.S. source investment income). However, because there is uncertainty as to the activities which constitute being engaged in a trade or business within the United States, there can be no assurances that the U.S. Internal Revenue Service will not contend

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successfully that Arch Capital or its non-U.S. subsidiaries are engaged in a trade or business in the United States. If Arch Capital or any of its non-U.S. subsidiaries


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were subject to U.S. income tax, Arch Capital’s shareholders’ equity and earnings could be materially adversely affected. Arch Capital has subsidiaries and branches that operate in various jurisdictions around the world that are subject to tax in the jurisdictions in which they operate. The significant jurisdictions in which Arch Capital’s subsidiaries and branches are subject to tax are the United States, United Kingdom, Ireland, Canada, Switzerland, Australia and Denmark.
The components of income taxes attributable to operations were as follows:
Year Ended December 31,Year Ended December 31,
2017 2016 2015202020192018
Current expense (benefit):     Current expense (benefit):
United States$(51,705) $40,300
 $37,186
United States$181,571 $139,407 $73,078 
Non-U.S.5,969
 10,445
 7,008
Non-U.S.16,091 4,954 12,785 
(45,736) 50,745
 44,194
197,662 144,361 85,863 
Deferred expense (benefit):     Deferred expense (benefit):
United States169,093
 (14,641) (4,893)United States(89,170)11,849 19,544 
Non-U.S.4,211
 (4,730) 1,311
Non-U.S.3,346 (400)8,544 
173,304
 (19,371) (3,582)(85,824)11,449 28,088 
Income tax expense$127,568
 $31,374
 $40,612
Income tax expense$111,838 $155,810 $113,951 
The Company’s income or loss before income taxes was earned in the following jurisdictions:
Year Ended December 31,
Year Ended December 31,202020192018
2017 2016 2015
Income Before Income Taxes:     
Income (Loss) Before Income Taxes:Income (Loss) Before Income Taxes:
Bermuda$406,054
 $801,155
 $508,561
Bermuda$1,114,117 $1,122,952 $388,492 
United States381,157
 51,577
 57,527
United States409,893 701,480 440,823 
Other(29,934) 2,820
 1,106
Other53,539 24,678 12,457 
Total$757,277
 $855,552
 $567,194
Total$1,577,549 $1,849,110 $841,772 
The expected tax provision computed on pre-tax income or loss at the weighted average tax rate has been calculated as the sum of the pre-tax income in each jurisdiction multiplied by that jurisdiction’s applicable statutory tax rate. The 2020 applicable statutory tax rates by jurisdiction were as follows: Bermuda (0.0%), United States (35.0%)(21.0 %), United Kingdom (19.25%)(19.0 %), Ireland (12.5%)(12.5 %), Denmark (22.0%)(22.0 %), Canada (26.5%)(26.5 %), Gibraltar (10.0%)(10.0 %), Australia (30.0%)(30.0 %), Hong Kong (16.5%)(16.5 %) and the Netherlands (20.0%)(16.5 %).
A reconciliation of the difference between the provision for income taxes and the expected tax provision at the weighted average tax rate follows:
Year Ended December 31,Year Ended December 31,
2017 2016 2015202020192018
Expected income tax expense (benefit) computed on pre-tax income
at weighted average income tax rate
$126,262
 $17,365
 $20,058
Expected income tax expense (benefit) computed on pre-tax income at weighted average income tax rate$111,947 $149,799 $91,529 
Addition (reduction) in income tax expense (benefit) resulting from:     Addition (reduction) in income tax expense (benefit) resulting from:
Tax-exempt investment income(13,330) (8,830) (9,588)Tax-exempt investment income(1,824)(3,091)(4,790)
Meals and entertainment1,063
 954
 897
Meals and entertainment547 1,134 1,060 
State taxes, net of U.S. federal tax benefit732
 1,073
 858
State taxes, net of U.S. federal tax benefit5,027 3,314 2,086 
Foreign branch taxes5,752
 5,496
 1,456
Foreign branch taxes2,094 1,231 5,428 
Prior year adjustment(559) (4,756) 2,510
Prior year adjustment3,983 632 (2,522)
Foreign exchange gains & losses(572) 223
 670
Foreign exchange gains & losses(1,736)436 1,293 
Changes in applicable tax rate7,745
 1,209
 40
Changes in applicable tax rate(128)
Dividend withholding taxes232
 3,319
 6,323
Dividend withholding taxes7,105 6,510 6,594 
Change in valuation allowance14,798
 4,730
 2,917
Change in valuation allowance13,190 1,628 18,396 
Contingent consideration3,785
 9,353
 11,548
Contingent consideration190 740 
Share based compensation(18,733) 
 
Share based compensation(2,533)(6,592)(5,356)
Uncertain tax position
 
 2,008
Intercompany loan write-offIntercompany loan write-off(22,083)
Other393
 1,238
 915
Other(3,888)619 (379)
Income tax expense (benefit)$127,568
 $31,374
 $40,612
Income tax expense (benefit)$111,838 $155,810 $113,951 
The effect of a change in tax laws or rates on deferred taxes assets and liabilities is recognized in income in the period in which such change is enacted. On December 22, 2017, the Tax Cuts Act was signed into law by the President of the United States which significantly changes the U.S. tax law in many way including a reduction of the U.S. federal income tax rate from 35% to 21% effective January 1, 2018. As a result of the Tax Cuts Act, the Company remeasured certain of its U.S. net deferred tax assets and liabilities.
On December 22, 2017, Staff Accounting Bulletin No. 118 (“SAB 118”) was issued to address the application of GAAP in situations when a registrant does not have the necessary information available, prepared or analyzed in reasonable detail to complete the accounting for certain income tax effects of the Tax Cuts Act. Pursuant to the guidance within SAB 118, the Company’s remeasurement of its deferred taxes included certain provisional effects associated with enactment of the Tax Cuts Act for which measurement could be reasonably estimated. Provisional amounts may be adjusted in 2018 during the measurement period in accordance with SAB 118 when additional information is obtained. Additional information that may affect the provisional amounts would include, completion of the Company’s U.S. subsidiaries’ 2017 tax return filings, and


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potential future guidance from the IRS with respect to the transitional adjustment pertaining to loss reserve discounting as well as the utilization of alternative minimum tax (“AMT”) credits.
Deferred income tax assets and liabilities reflect temporary differences based on enacted tax rates between the carrying amounts of assets and liabilities for financial reporting and income tax purposes.

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Significant components of the Company’s deferred income tax assets and liabilities were as follows:
December 31,December 31,
2017 201620202019
Deferred income tax assets:   Deferred income tax assets:
Net operating loss$33,723
 $13,061
Net operating loss$67,142 $30,836 
Uncrystallized lossesUncrystallized losses2,926 1,565 
AMT credit carryforward12,327
 5,350
AMT credit carryforward1,323 
Discounting of net loss reserves33,659
 64,220
Discounting of net loss reserves74,247 52,582 
Deferred ceding commission6,934
 15,505
Net unearned premium reserve47,682
 71,760
Net unearned premium reserve66,368 64,269 
Compensation liabilities20,234
 37,757
Compensation liabilities27,351 21,693 
Foreign tax credit carryforward6,610
 6,421
Foreign tax credit carryforward19,160 9,521 
Interest expense3,815
 2,678
Interest expense622 
Goodwill and intangible assets3,688
 9,269
Goodwill and intangible assets14,450 11,644 
Bad debt reserves5,073
 6,961
Bad debt reserves1,864 5,983 
Lease liabilityLease liability23,604 26,438 
Net unrealized foreign exchange gains464
 1,308
Net unrealized foreign exchange gains165 598 
Net unrealized decline of investments1,602
 7,384
Other, net10,760
 12,123
Other, net1,725 206 
Deferred tax assets before valuation allowance186,571
 253,797
Deferred tax assets before valuation allowance299,624 226,658 
Valuation allowance(30,591) (17,028)Valuation allowance(88,255)(48,219)
Deferred tax assets net of valuation allowance155,980
 236,769
Deferred tax assets net of valuation allowance211,369 178,439 
Deferred income tax liabilities:   Deferred income tax liabilities:
Depreciation and amortization(2,333) (7,038)Depreciation and amortization(495)(1,215)
Deposit accounting liability(2,392) (4,078)Deposit accounting liability(1,751)(2,169)
Contingency reserve(110,632) (19,400)Contingency reserve(64,593)(132,831)
Deferred policy acquisition costsDeferred policy acquisition costs(42,045)(29,847)
Net unrealized appreciation of investmentsNet unrealized appreciation of investments(66,681)(38,764)
Right-of-use assetRight-of-use asset(19,239)(23,416)
Other, net(1,061) (1,228)Other, net(843)(3,680)
Total deferred tax liabilities(116,418) (31,744)Total deferred tax liabilities(195,647)(231,922)
Net deferred income tax assets$39,562
 $205,025
Net deferred income tax assets (liabilities)Net deferred income tax assets (liabilities)$15,722 $(53,483)
The Company provides a valuation allowance to reduce certain deferred tax assets to an amount which management expects to more likely than not be realized. As of December 31, 2017,2020, the Company’s valuation allowance was $30.6$88.3 million, compared to $17.0$48.2 million at December 31, 2016.2019. The valuation allowance in both periods was primarily attributable to: (1) a fullto valuation allowance on the Company’s U.K. Canadian and Australian operations; (2) unutilized foreign tax credits;operations and (3) certain other deferred tax assets relating to loss carryforwards that have a limited use.
At December 31, 2017,2020, the Company has net operating loss carryforwards in its U.K. operating subsidiaries of approximately $46.4 million. Additionally, the Company’s U.K. operations have a foreign tax credit carryforward of $6.3 million at December 31, 2017. These operating losses and foreign tax credits can be carried forward without expiration.
Due to uncertainty surrounding their future utilization, a valuation allowance of $14.8 million is in place. Beginning in 2017, the U.K. losses are subject to usage restrictions that will limit the amount of carried forward losses which may be utilized in a given year. Such restrictions are not expected to limit the utilization of the Company’s existing U.K. loss carryforwards that have been recognized in the financial statements.
At December 31, 2017, net operating loss carryforwards in Ireland were approximately $15.3 million. Although these losses may be carried forward indefinitely, an offsetting valuation allowance of $1.2 million exists given management’s expectation that certain losses, which are specific to an individual Irish entity, will not be utilized in the future.
At December 31, 2017, net operating loss carryforwards in Australia were approximately $19.6 million. Although these losses may be carried forward indefinitely, subject to certain business and ownership continuity requirements, the associated net deferred tax asset of $5.9 million is fully offset by a valuation allowance of $5.9 million.
At December 31, 2017, net operating loss carryforwards in Hong Kong were approximately $9.5 million. Although these losses may be carried forward indefinitely the associated net deferred tax asset is offset by a valuation allowance of $1.5 million.
At December 31, 2017, net operating loss carryforwards in the U.S. were approximately $76.9 million. This includes $4.6 million net operating loss carryforwards from Watford Re. Watford Re’s $1.0 million deferred tax asset is fully offset by a valuation allowance. The Company’s net operating loss carryforwards are currently available to offset future taxable income of the Company’s U.S. subsidiaries. Under applicable law, the U.S. net operating loss carryforwards expire between 2029-2037.and tax credits were as follows:
Year Ended December 31,
2020Expiration
Operating Loss Carryforwards
United Kingdom$237,277 No expiration
Ireland11,336 No expiration
Australia37,995 No expiration
Hong Kong21,094 No expiration
Denmark23 No expiration
United States (1)27,425 2029 - 2038
Tax Credits
U.K. foreign tax credits19,160 No expiration
U.S. refundable AMT creditsNo expiration
(1) On January 30, 2014, the Company’s U.S. mortgage operations underwent an ownership change for U.S. federal income tax purposes as a result of the Company’s acquisition of the CMG Entities. As a result of this ownership change, a limitation has been imposed upon the utilization of approximately $10.8$8.3 million of the Company’s existing U.S. net operating loss carryforwards. Utilization is limited to approximately $0.6 million per year in accordance with Section 382 of the Internal Revenue Code of 1986 as amended (“the Code”). Additionally, the Company has an AMT credit carryforward in the amount of $12.3 million which, beginning in 2018, and pursuant to the Tax Cuts Act, will either be available to offset the Company’s regular tax liability or refundable.
The Company’s U.S. mortgage operations are eligible for a tax deduction, subject to certain limitations, under Section 832(e) of the Code for amounts required by state law or regulation to be set aside in statutory contingency reserves. The deduction is


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allowed only to the extent that the Company purchases non-interest bearing U.S. Mortgage Guaranty Tax and Loss Bonds (“T&L Bonds”) issued by the U.S. Treasury Department in an amount equal to the tax benefit derived from deducting any portion of the statutory contingency reserves. T&L Bonds are reflected in ‘other assets’ on the Company’s balance sheet and totaled approximately $177.2$88.1 million at December 31, 2017,2020, compared to $16.2$207.0 million at December 31, 2016.2019.
Deferred income tax liabilities have not been accrued with respect to the undistributed earnings of the Company's U.S., U.K. and Ireland subsidiaries as it is the Company’s intention that all such earnings will be indefinitely reinvested. If the earnings were to be distributed, as dividends or otherwise, such amounts may be subject to withholding tax in the jurisdiction of the paying entity. The Company no longer intends to indefinitely reinvest earnings from the Company's Canada subsidiary, however, no income or withholding taxes have been accrued as the Canada subsidiary does not have positive cumulative earnings and profits and therefore a distribution from this particular subsidiary would not be subject to income taxes or withholding taxes. Potential tax implications of repatriation from the Company’s unremitted earnings that are indefinitely reinvested are driven by facts at the time of distribution. Therefore it is not practicable to estimate the income tax liabilities that might be incurred if

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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

such earnings were remitted. Distributions from the U.K. or Ireland would not be subject to withholding tax and no deferred income tax liability would need to be accrued.
The Company recognizes interest and penalties relating to unrecognized tax benefits in the provision for income taxes. As of December 31, 2017,2020, the Company’s total unrecognized tax benefits, including interest and penalties, were $2.0 million. If recognized, the full amount of the unrecognized tax benefit would generally decreaseimpact the current year annualconsolidated effective tax rate. A reconciliation of the beginning and ending amount of unrecognized tax benefits is as follows:
December 31,
2017 2016December 31,
   20202019
Balance at beginning of year$2,008
 $2,008
Balance at beginning of year$2,008 $2,008 
Additions based on tax positions related to the current year
 
Additions based on tax positions related to the current year
Additions for tax positions of prior years
 
Additions for tax positions of prior years
Reductions for tax positions of prior years
 
Reductions for tax positions of prior years
Settlements
 
Settlements
Balance at end of year$2,008
 $2,008
Balance at end of year$2,008 $2,008 
The Company or its subsidiaries or branches files income tax returns in the U.S. federal jurisdiction and various state, local and foreign jurisdictions. The Company’s examination by the tax authorities in the U.S. for the 2009 through 2011 tax years closed with no change. The following table details open tax years that are potentially subject to examination by local tax
authorities, in the following major jurisdictions:
JurisdictionTax Years
United States2015-2020
United Kingdom2019-2020
Ireland2016-2020
Canada2016-2020
Switzerland2017-2020
Denmark2016-2020
Australia2016-2020
JurisdictionTax Years
United States2014-2017
United Kingdom2012-2017
Ireland2013-2017
Canada2013-2017
Switzerland2011-2017
Denmark2014-2017
As of December 31, 2017,2020, the Company’s current income tax recoverablepayable (included in “Other assets”liabilities”) was $104.8$9.2 million.
15.
16.    Transactions with Related Parties
Kewsong Lee,In 2017, the Company acquired approximately 25% of Premia Holdings Ltd. Premia Holdings Ltd. is the parent of Premia Reinsurance Ltd., a directormulti-line Bermuda reinsurance company (together with Premia Holdings Ltd., “Premia”). Premia’s strategy is to reinsure or acquire companies or reserve portfolios in the non-life property and casualty insurance and reinsurance run-off market. Arch Re Bermuda and certain Arch co-investors invested $100.0 million and acquired approximately 25% of Premia as well as warrants to purchase additional common equity. Arch has appointed two directors to serve on the seven person board of directors of Premia. Arch Re Bermuda is providing a 25% quota share reinsurance treaty on certain business written by Premia.
In the 2019 fourth quarter, Barbican entered into certain reinsurance and related transactions with Premia pursuant to which Premia assumed a transfer of liability for the 2018 and prior years of account of Barbican as of July 1, 2019. Barbicanrecorded reinsurance recoverable on unpaid and paid losses and funds held liability of $199.8 million and $149.6 million, respectively at December 31, 2020, compared to $177.7 million and $180.0 million, respectively, at December 31, 2019.
In the 2020 fourth quarter, Arch Capital until November 2, 2017, resigned fromand Arch Capital’s Board of Directors becauseRe Bermuda entered into agreements pursuant to which Arch Re Bermuda, together with certain co-investors, expect to acquire all of the expansioncommon shares of his duties at The Carlyle Group (“Carlyle”) following his promotionWatford Holdings Ltd, subject to co-CEO effective January 1, 2018. As part of its investment philosophy, the Company invests a portion of its investment portfolio in alternative investment funds. As of December 31, 2017, the total value of the Company’s investments in funds or other investments managed by Carlyle was approximately $293.0 million,customary closing conditions including regulatory and the Company had aggregate unfunded commitments to funds managed by Carlyle of $468.8 million. The Company may make additional commitments to funds managed by Carlyle from time to time. During 2017, 2016shareholder approval. See note 12, “Variable Interest Entity and 2015, the Company made aggregate capital contributions to funds managed by Carlyle of $131.8 million, $62.1 million and $116.5 million, respectively. During 2017, 2016 and 2015, the Company received aggregate cash distributions from funds managed by Carlyle of $55.6 million, $21.5 million and $44.6 million, respectively.Noncontrolling Interests.

Certain directors and executive officers of the Company own common and preference shares of Watford Re.Watford. See note 4,12, “Variable Interest Entity and Noncontrolling Interests,” for information about Watford Re.Watford.

16.
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17.    Leases
In the ordinary course of business, the Company renews and enters into new leases for office property and equipment. At the lease inception date, the Company determines whether a contract contains a lease and its classification as a finance or operating lease. Primarily all of the Company’s leases are classified as operating leases. The Company’s operating leases have remaining lease terms of up to 10 years, some of which include options to extend the lease term. The Company considers these options when determining the lease term and measuring its lease liability and right-of-use asset. In addition, the Company’s lease agreements do not contain any material residual value guarantees or material restrictive covenants.
Short-term operating leases with an initial term of twelve months or less were excluded on the Company's consolidated balance sheet and represent an inconsequential amount of operating lease expense.

As most leases do not provide an implicit rate, the Company uses its incremental borrowing rate based on the information available at the lease commencement date in determining the present value of lease payments.

Additional information regarding the Company’s operating leases is as follows:
December 31,
20202019
Operating lease costs$31,826 $30,478 
Cash payments included in the measurement of lease liabilities reported in operating cash flows$30,365 $27,521 
Right-of-use assets obtained in exchange for new lease liabilities$12,060 $7,445 
Right-of-use assets (1)$115,911 $131,661 
Operating lease liability (1)$136,015 $150,519 
Weighted average discount rate3.9 %3.9 %
Weighted average remaining lease term5.8 years6.4 years
(1)    The right-of-use assets are included in ‘other assets’ while the operating lease liability is included in ‘other liabilities.’

The following table presents the contractual maturities of the Company's operating lease liabilities at December 31, 2020:
Years Ending December 31,
2021$32,309 
202230,357 
202325,828 
202419,480 
202513,017 
2026 and thereafter31,318 
Total undiscounted lease liability152,309 
Less: present value adjustment(16,294)
Operating lease liability136,015 

All of these leases are for the rental of office space, with expiration terms that range from 2021 to 2030. Rental expense was approximately $31.8 million, $30.5 million and $27.6 million for 2020, 2019 and 2018, respectively.

At December 31, 2020, the Company has entered into certain financing lease agreements. The future lease payments for the Company’s financing leases are expected to be $2.1 million for 2021.
18.    Commitments and Contingencies
Concentrations of Credit Risk
The creditworthiness of a counterparty is evaluated by the Company, taking into account credit ratings assigned by independent agencies. The credit approval process involves an assessment of factors, including, among others, the counterparty, country and industry credit exposure limits. Collateral may be required, at the discretion of the Company, on certain transactions based on the creditworthiness of the counterparty.
The areas where significant concentrations of credit risk may exist include unpaid losses and loss adjustment expenses recoverable, contractholder receivables, ceded unearned


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premiums, paid losses and loss adjustment expenses recoverable net of reinsurance balances payable, investments and cash and cash equivalent balances. A credit exposure exists with respect to reinsurance recoverables as they may become uncollectible. The Company manages its credit risk in its reinsurance relationships by transacting with reinsurers that it considers financially sound and, if necessary, the Company may hold collateral in the form of funds, trust accounts and/or irrevocable letters of credit. This collateral can be drawn on for amounts that remain unpaid beyond specified time periods on an individual reinsurer basis. In addition, certain insurance policies written by the Company’s insurance operations feature large deductibles, primarily in its construction and national accounts lines of business. Under such contracts, the Company is obligated to pay the claimant for the full amount of the claim. The Company is

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subsequently reimbursed by the policyholder for the deductible amount. These amounts are included on a gross basis in the consolidated balance sheet in contractholder payables and contractholder receivables, respectively. In the event that the Company is unable to collect from the policyholder, the Company would be liable for such defaulted amounts. Collateral, primarily in the form of letters of credit, cash and trusts, is obtained from the policyholder to mitigate the Company’s credit risk. In the instances where the company receives collateral in the form of cash, the Company records a related liability in “Collateral held for insured obligations.”
In addition, the Company underwrites a significant amount of its business through brokers and a credit risk exists should any of these brokers be unable to fulfill their contractual obligations with respect to the payments of insurance and reinsurance balances owed to the Company. The following table summarizes the percentage of the Company’s gross premiums written generated from or placed by the largest brokers:
Broker Year Ended December 31,Broker

Year Ended December 31,
2017 2016 2015

202020192018
Marsh & McLennan Companies and its subsidiariesMarsh & McLennan Companies and its subsidiaries13.3 %9.6 %9.3 %
Aon Corporation and its subsidiaries 11.3% 14.4% 13.1%Aon Corporation and its subsidiaries12.0 %12.2 %11.4 %
Marsh & McLennan Companies and its subsidiaries 10.7% 13.5% 15.3%
No other broker and no one insured or reinsured accounted for more than 10% of gross premiums written for 2017, 20162020, 2019 and 2015.2018.
The Company’s available for sale investment portfolio is managed in accordance with guidelines that have been tailored to meet specific investment strategies, including standards of diversification, which limit the allowable holdings of any single issue. There were no investments in any entity in excess of 10% of the Company’s shareholders’ equity at December 31, 20172020 other than investments issued or guaranteed by the United States government or its agencies.
Investment Commitments
The Company’s investment commitments, which are primarily related to agreements entered into by the Company to invest in funds and separately managed accounts when called upon, were approximately $1.70$2.1 billion and $1.29$1.7 billion at December 31, 20172020 and 2016,2019, respectively.
Letter of Credit and Revolving Credit Facilities
As of December 31, 2017, Arch Capital and certain of its subsidiaries had a $350.0 million secured facility for letters of credit and $500.0 million unsecured facility for revolving loans and letters of credit (the “Credit Agreement”). Obligations of each borrower under the secured facility for letters of credit are secured by cash and eligible securities of such borrower held in collateral accounts. Subject to the receipt of commitments, the secured facility may be increased by up to an aggregate of $350.0 million, and the unsecured facility may be increased to an amount not to exceed $750.0 million. Arch Capital has a one-time option to convert any or all outstanding revolving loans of Arch Capital and/or Arch-U.S. to term loans with the same terms as the revolving loans except that any prepayments may not be reborrowed. Arch-U.S. guarantees the obligations of Arch Capital, and Arch Capital guarantees the obligations of Arch-U.S. Borrowings of revolving loans may be made at a variable rate based on LIBOR or an alternative base rate at the option of Arch Capital. Secured letters of credit are available for issuance on behalf of Arch Capital insurance and reinsurance subsidiaries. The Credit Agreement and related documents are structured such that each party that requests a letter of credit or borrowing does so only for itself and for only its own obligations.
The Credit Agreement contains customary representations, conditions to issuance of letters of credit and borrowings which include, among other things: (i) the maintenance of a debt to total capital ratio of not greater than 0.35 to 1; (ii) consolidated tangible net worth in excess of and consolidated tangible net worth in excess of $5.63 billion plus 25% of future aggregate net income (not including any future net losses) for each quarterly period ending after December 31, 2016 plus 25% of future aggregate net cash proceeds from the issuance of common or preferred equity (other than the proceeds of which are used to fund the repurchase or redemption of our preferred securities (“Refinanced Preferred Securities”)), minus 70% of up to $750.0 million of the aggregate book value of any preferred securities of Arch Capital which are repurchased or redeemed by Arch Capital or its subsidiaries (other than Refinanced Preferred Securities); and (iii) that Arch Capital’s principal insurance and reinsurance subsidiaries that are borrowers under the Credit Agreement maintain a financial strength rating of at least a “B++” from A.M. Best or “BBB+” from S&P. In addition, certain of Arch Capital’s subsidiaries which are party to the Credit Agreement are required to maintain minimum shareholders’ equity levels. Commitments under the


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Amended Credit Agreement will expire on October 26, 2021, and all loans then outstanding under the Amended Credit Agreement must be repaid. Letters of credit issued under the Amended Credit Agreement will not have an expiration date later than October 26, 2022. Arch Capital and its subsidiaries which are party to the Credit Agreement were in compliance with all covenants contained in the Credit Agreement at December 31, 2017.
In addition, certain of Arch Capital’s subsidiaries had outstanding letters of credit of $160.1 million, which were issued on a limited basis and for limited purposes (together with the secured portion of the Credit Agreement and these letter of credit facilities, the “LOC Facilities”). The principal purpose of the LOC Facilities is to issue, as required, evergreen standby letters of credit in favor of primary insurance or reinsurance counterparties with which certain of Arch Capital’s subsidiaries has entered into reinsurance arrangements. This is required to ensure that such counterparties are permitted to take credit for reinsurance obtained in United States jurisdictions where such subsidiaries are not licensed or otherwise admitted as an insurer, as required under insurance regulations in the United States, and to comply with requirements of Lloyd’s of London in connection with qualifying quota share and other arrangements. The amount of letters of credit issued is driven by, among other things, the timing and payment of catastrophe losses, loss development of existing reserves, the payment pattern of such reserves, the further expansion of business and the loss experience of such business. When issued, these letters of credit are secured by a portion of the investment portfolio. Arch Capital and its’ subsidiaries which are party to the LOC Facilities were in compliance with all covenants contained in the LOC Facilities at December 31, 2017. At such date, approximately $324.4 million of letters of credit under the LOC Facilities were outstanding, which were secured by investments with a fair value of $388.0 million, and $375.0 million of borrowings were outstanding under the Credit Agreement. Under the $350.0 million secured letter of credit facility, Arch Capital’s subsidiaries had $164.3 million of letters of credit outstanding and remaining capacity of $185.7 million at December 31, 2017.
Watford Re has access to a $100 million letter of credit facility expiring on May 19, 2018 and an $800 million secured credit facility expiring on June 4, 2018, that provides for borrowings and the issuance of letters of credit not to exceed $400 million. Borrowings of revolving loans may be made by Watford Re at a variable rate based on LIBOR or an alternative base rate at the option of Watford Re. At December 31, 2017, Watford Re had $109.5 million in outstanding letters of credit under the two facilities and $441.1 million of borrowings outstanding under the secured credit facility, backed by Watford Re’s investment portfolio. Watford Re was in compliance with all covenants contained in both of its credit facilities at December 31, 2017. The Company does not guarantee or provide credit support for Watford Re, and the Company’s financial exposure to Watford
Re is limited to its investment in Watford Re’s common and preferred shares and counterparty credit risk (mitigated by collateral) arising from the reinsurance transactions.
Contingent Consideration Liability
Pursuant to the Company’s 2014 acquisition of the CMG Entities, the Company made a contingent consideration payment of $71.7 million in April 2017. The maximum remaining amount of contingent consideration payments is $68.2 million over the remaining earn-out period. To the extent that the adjusted book value of the CMG Entities drops below the cumulative amount paid by the Company, no additional payments would be due.
Leases and Purchase Obligations
At December 31, 2017, the future minimum rental commitments, exclusive of escalation clauses and maintenance costs and net of rental income, for all of the Company’s operating leases are as follows:
2018$28,553
201928,562
202027,721
202125,031
202221,634
2023 and thereafter37,463
Total$168,964
All of these leases are for the rental of office space, with expiration terms that range from 2018 to 2026. Rental expense, net of income from subleases, was approximately $31.1 million, $24.2 million and $23.8 million for 2017, 2016 and 2015, respectively.
At December 31, 2017, the Company has entered into capital lease agreements. The future lease payments for the Company’s capital leases are expected to be $9.7 million, $5.6 million and $0.2 million for 2018, 2019 and 2020, respectively.
The Company has also entered into certain agreements which commit the Company to purchase goods or services, primarily related to software and computerized systems. Such purchase obligations were approximately $29.7$73.0 million and $24.8$55.6 million at December 31, 20172020 and 2016,2019, respectively.
Employment and Other Arrangements
At December 31, 2017,2020, the Company has entered into employment agreements with certain of its executive officers. Such employment arrangements provide for compensation in the form of base salary, annual bonus, share-based awards, participation in the Company’s employee benefit programs and the reimbursements of expenses.


19.    Debt and Financing Arrangements
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17.    Senior Notes
The Company’s senior notes payable at December 31, 20172020 and 20162019 were as follows:
     Carrying Amount atCarrying Amount at
 Interest Principal December 31,InterestPrincipalDecember 31,
 (Fixed) Amount 2017 2016(Fixed)Amount20202019
2034 notes (1) 7.350% 300,000
 297,053
 296,957
2034 notes (1)7.350 %300,000 297,367 297,254 
2043 notes (2) 5.144% 500,000
 494,621
 494,525
2043 notes (2)5.144 %500,000 494,944 494,831 
2026 notes (3) 4.011% 500,000
 496,043
 495,689
2026 notes (3)4.011 %500,000 497,211 496,806 
2046 notes (4) 5.031% 450,000
 445,167
 445,087
2046 notes (4)5.031 %450,000 445,402 445,317 
2050 notes (5)2050 notes (5)3.635 %1,000,000 988,500 
Watford notes (6)Watford notes (6)6.500 %140,000 137,689 137,418 
   $1,750,000
 $1,732,884
 $1,732,258
$2,890,000 $2,861,113 $1,871,626 
(1) Senior notes of Arch Capital issued on May 4, 2004 and due May 1, 2034 (“2034 notes”).
(2) Senior notes of Arch-U.S., a wholly-owned subsidiary of Arch Capital, issued on December 13, 2013 and due November 1, 2043 (“2043 notes”), fully and unconditionally guaranteed by Arch Capital.
(3) Senior notes of Arch Capital Finance LLC (“Arch Finance”), a wholly-owned finance subsidiary of Arch Capital, issued on December 8, 2016 and due December 15, 2026 (“2026 notes”), fully and unconditionally guaranteed by Arch Capital.
(4) Senior notes of Arch Finance issued on December 8, 2016 and due December 15, 2046 (“2046 notes”), fully and unconditionally guaranteed by Arch Capital
(5) Senior notes of Arch Capital issued on June 30, 2020 and due June 30, 2050.
(6) Senior notes of Watford issued on July 2, 2019 and due July 2, 2029, reflecting the elimination of amounts owned by Arch-U.S.
The 2034 notes are Arch Capital’s senior unsecured obligations and rank equally with all of its existing and future senior unsecured indebtedness. Interest payments on the 2034 notes are due on May 1st and November 1st of each year. Arch Capital may redeem the 2034 notes at any time and from time to time, in whole or in part, at a “make-whole” redemption price.
(2) Senior notes of Arch-U.S., a wholly-owned subsidiary of Arch Capital, issued on December 13, 2013 and due November 1, 2043 (“2043 notes”), fully and unconditionally guaranteed by Arch Capital. The 2043 notes are unsecured and unsubordinated obligations of Arch-U.S. and Arch Capital, respectively, and rank equally and ratably with the other unsecured and unsubordinated indebtedness of Arch-U.S. and Arch Capital, respectively. Interest payments on the 2043 notes are due on May 1st and November 1st of each year. Arch-U.S. may redeem the 2043 notes at any time and from time to time, in whole or in part, at a “make-whole” redemption price.
(3) Senior notes

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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

The 2026 notes are unsecured and unsubordinated obligations of Arch Finance and Arch Capital, respectively, and rank equally and ratably with the other unsecured and unsubordinated indebtedness of Arch Finance and Arch Capital, respectively. Interest payments on the 2026 notes are due on June 15th and December 15th of each year. Arch Finance may redeem the 2026 notes at any time and from time to time, in whole or in part, at a “make-whole” redemption price.
(4) Senior notes of Arch Finance issued on December 8, 2016 and due December 15, 2046 (“2046 notes”), fully and unconditionally guaranteed by Arch Capital. The 2046 notes are unsecured and unsubordinated obligations of Arch Finance and Arch Capital, respectively, and rank equally and ratably with the other unsecured and unsubordinated indebtedness of Arch Finance and Arch Capital, respectively. Interest payments on the 2046 notes are due on June 15th and December 15th of each year. Arch Finance may redeem the 2046 notes at any time and from time to time, in whole or in part, at a “make-whole” redemption price.
On June 30, 2020, Arch Capital completed a public offering of $1.0 billion aggregate principal amount of its 3.635% senior notes with a scheduled maturity of June 30, 2050 (the “2050 notes”). The 2050 notes are Arch Capital’s senior unsecured obligations and rank equally with all of its existing and future senior unsecured indebtedness. Interest payments on the 2050 notes are due semi-annually in arrears on June 30 and December 30, beginning on December 30, 2020, to holders of record on the preceding June 15 or December 15, as the case may be. Interest will be calculated on the basis of a 360-day year of twelve 30-day months. Subject to conditions of redemption, Arch Capital may redeem the 2050 notes at any time and from time to time prior to December 30, 2049, in whole or in part, at a redemption price equal to the “make-whole” redemption price, plus accrued and unpaid interest thereon to, but excluding, the redemption date.
On July 2, 2019, Watford completed an offering of $175.0 million in aggregate principal amount of its 6.5% senior notes, due July 2, 2029 (“Watford Senior Notes”). Interest on the Watford Senior Notes will be paid semi-annually in arrears on each January 2 and July 2, commencing January 2, 2020. The $172.3 million net proceeds from the offering were used to redeem a portion of Watford Preference Shares. The Company purchased $35.0 million in aggregate principal amount of the Watford Senior Notes.
Letter of Credit and Revolving Credit Facilities
In the normal course of its operations, the Company enters into agreements with financial institutions to obtain secured and unsecured credit facilities.
On December 17, 2019, Arch Capital and certain of its subsidiaries entered into a $750.0 million five-year credit facility (the “Credit Facility”) with a syndication of lenders.
18.    GoodwillThe Credit Facility consists of a $250.0 million secured facility for letters of credit (the “Secured Facility”) and Intangible Assets
a $500.0 million unsecured facility for revolving loans and letters of credit (the “Unsecured Facility”). Obligations of each borrower under the Secured Facility for letters of credit are secured by cash and eligible securities of such borrower held in collateral accounts. Commitments under the Credit Facility may be increased up to, but not exceeding, an aggregate of $1.3 billion. Arch Capital has a one-time option to convert any or all outstanding revolving loans of Arch Capital and/or Arch-U.S. to term loans with the same terms as the revolving loans except that any prepayments may not be re-borrowed. Arch-U.S. guarantees the obligations of Arch Capital, and Arch Capital guarantees the obligations of Arch-U.S. Borrowings of revolving loans may be made at a variable rate based on LIBOR or an alternative base rate at the option of Arch Capital. Arch Capital and its lenders may agree on a LIBOR successor rate at the appropriate time to address the replacement of LIBOR. Secured letters of credit are available for issuance on behalf of certain Arch Capital subsidiaries. The Credit Facility is structured such that each party that requests a letter of credit or borrowing does so only for itself and its own obligations.
The following table showsCredit Facility contains certain restrictive covenants customary for facilities of this type, including restrictions on indebtedness, consolidated tangible net worth, minimum shareholders’ equity levels and minimum financial strength ratings. Arch Capital and its subsidiaries which are party to the agreement were in compliance with all covenants contained therein at December 31, 2020.
Commitments under the Credit Facility will expire on December 17, 2024, and all loans then outstanding must be repaid. Letters of credit issued under the Unsecured Facility will not have an analysisexpiration date later than December 17, 2025.
Under the $250.0 million secured letter of goodwillcredit facility, Arch Capital’s subsidiaries had $218.4 million of letters of credit outstanding and intangible assets:remaining capacity of $31.6 million at December 31, 2020. In addition, certain of Arch Capital’s subsidiaries had outstanding secured and unsecured letters of credit of $250.0 million and $26.2 million respectively, which were issued in the normal course of business.
When issued, all secured letters of credit are secured by a portion of the investment portfolio. At December 31, 2020, these letters of credit were secured by investments with a fair value of $262.4 million.
 Goodwill Intangible assets (indefinite life) Intangible assets (finite life) Total
Net balance at Dec. 31, 2015$15,536
 $33,524
 $48,471
 $97,531
Acquisitions188,758
 34,650
 481,049
 704,457
Amortization
 
 (19,343) (19,343)
Foreign currency movements and other adjustments(272) 
 (820) (1,092)
Net balance at Dec. 31, 2016204,022
 68,174
 509,357
 781,553
Acquisitions806
 
 2,300
 3,106
Amortization
 
 (125,778) (125,778)
Foreign currency movements and other adjustments
(6,592) 
 322
 (6,270)
Net balance at Dec. 31, 2017$198,236
 $68,174
 $386,201
 $652,611
        
Gross balance at Dec. 31, 2017$205,192
 $68,174
 $619,101
 $892,467
Accumulated amortization
 
 (231,520) (231,520)
Foreign currency movements and other adjustments
(6,956) 
 (1,380) (8,336)
Net balance at Dec. 31, 2017$198,236
 $68,174
 $386,201
 $652,611
Watford has access to a $100 million secured letter of credit facility expiring on May 16, 2021, a $50 million unsecured letter of credit facility which auto extends on September 17, 2021 and a $440 million secured credit facility expiring on November 30, 2021 that provides for borrowings and the



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issuance of letters of credit not to exceed $220 million. Borrowings of revolving loans may be made by Watford at a variable rate based on LIBOR or an alternative base rate at the option of Watford. At December 31, 2020, Watford had $126.0 million in outstanding letters of credit under the facilities and $155.7 million of borrowings outstanding under the secured credit facility, backed by Watford’s investment portfolio. Watford was in compliance with all covenants contained in these credit facilities at December 31, 2020. The Company does not guarantee or provide credit support for Watford, and the Company’s financial exposure to Watford is limited to its investment in Watford’s senior notes, common and preferred shares and counterparty credit risk (mitigated by collateral) arising from the reinsurance transactions.
The Company’s outstanding revolving credit agreement borrowings were as follows:
Year Ended December 31,
20202019
Arch Capital$$
Watford155,687 484,287 
Total$155,687 $484,287 
20.    Goodwill and Intangible Assets
The following table shows an analysis of goodwill and intangible assets:
GoodwillIntangible assets (indefinite life)Intangible assets (finite life)Total
Net balance at Dec. 31, 2018$249,620 $61,874 $323,426 $634,920 
Acquisitions74,780 24,431 82,482 181,693 
Amortization— — (82,104)(82,104)
Impairment (1)(1,000)(1,000)
Foreign currency movements and other adjustments2,151 606 1,817 4,574 
Net balance at Dec. 31, 2019326,551 85,911 325,621 738,083 
Acquisitions (2)39,178 39,178 
Amortization— — (69,031)(69,031)
Impairment
Foreign currency movements and other adjustments(11,922)(6,692)3,247 (15,367)
Net balance at Dec. 31, 2020$314,629 $79,219 $299,015 $692,863 
Gross balance at Dec. 31, 2020$318,043 $77,896 $784,921 $1,180,860 
Accumulated amortization— — (489,828)(489,828)
Foreign currency movements and other adjustments(3,414)1,323 3,922 1,831 
Net balance at Dec. 31, 2020$314,629 $79,219 $299,015 $692,863 
(1)    The impairment to the indefinite-lived intangible assets during the year ended December 31, 2019 of $1.0 million related to insurance licenses from the acquisition of UGC.
(2)    Certain amounts for the Company’s 2020 acquisitions are considered provisional.


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The following table presents the components of goodwill and intangible assets:
Gross BalanceAccumulated
Amortization
Foreign Currency Translation Adjustment and OtherNet
Balance
Gross Balance Accumulated
Amortization
 Foreign Currency Translation Adjustment and Other 
Net
Balance
Dec. 31, 2017       
Dec. 31, 2020Dec. 31, 2020
Acquired insurance contracts$435,067
 $(182,947) $(150) $251,970
Acquired insurance contracts$451,505 $(381,349)$284 $70,440 
Operating platform44,900
 (26,422) 
 18,478
Operating platform52,674 (44,347)60 8,387 
Distribution relationships147,611
 (28,321) (1,230) 118,060
Distribution relationships285,141 (71,383)3,450 217,208 
Goodwill205,192
 
 (6,956) 198,236
Goodwill318,043 — (3,414)314,629 
Insurance licenses68,174
 
 
 68,174
Insurance licenses55,981 — 55,981 
Syndicate capacitySyndicate capacity21,915 — 1,324 23,239 
Unfavorable service contract(9,533) 6,997
 
 (2,536)Unfavorable service contract(9,533)9,147 (386)
Other1,056
 (827) 
 229
Other5,134 (1,896)127 3,365 
Total$892,467
 $(231,520) $(8,336) $652,611
Total$1,180,860 $(489,828)$1,831 $692,863 
       
Dec. 31, 2016       
Dec. 31, 2019Dec. 31, 2019
Acquired insurance contracts$435,067
 $(72,771) $(150) $362,146
Acquired insurance contracts$452,470 $(336,559)$310 $116,221 
Operating platform44,900
 (17,442) 
 27,458
Operating platform52,674 (39,571)(259)12,844 
Distribution relationships145,311
 (20,675) (1,552) 123,084
Distribution relationships243,838 (50,542)212 193,508 
Goodwill204,386
 
 (364) 204,022
Goodwill331,448 — (4,897)326,551 
Insurance licenses68,174
 
 
 68,174
Insurance licenses63,390 — 63,390 
Syndicate capacitySyndicate capacity21,915 — 605 22,520 
Unfavorable service contract(9,533) 5,762
 
 (3,771)Unfavorable service contract(9,533)8,657 (876)
Other1,056
 (616) 
 440
Other5,134 (1,279)70 3,925 
Total$889,361
 $(105,742) $(2,066) $781,553
Total$1,161,336 $(419,294)$(3,959)$738,083 
The estimated remaining amortization expense for the Company’s intangible assets with finite lives is as follows:
2021$56,269 
202242,211 
202340,014 
202434,985 
202519,919 
2026 and thereafter105,617 
Total$299,015 
2018$106,075
201974,324
202046,485
202129,839
202223,945
2023 and thereafter105,533
Total$386,201
The estimated remaining useful lives of these assets range from one to nineteensixteen years at December 31, 2017.2020.
TheOther than the impairments described above, the Company’s annual impairment reviews for goodwill and intangible assets
did not result in the recognition of impairment losses for 2017, 20162020 and 2015.
2019.
19.21.    Shareholders’ Equity
Authorized and Issued
The authorized share capital of Arch Capital consists of 600 million1.8 billion Common Shares, par value of $0.0033$0.0011 per share, and 50 million Preferred Shares, par value of $0.01 per share.
Common Shares
The following table presents a roll-forward of changes in Arch Capital’s issued and outstanding Common Shares:
Year Ended December 31,
202020192018
Common Shares:
Shares issued and outstanding, beginning of year574,617,195 570,737,283 549,872,226 
Shares issued (1)2,646,164 2,835,994 2,757,506 
Conversion of Series D preferred shares (2)17,022,600 
Restricted shares issued, net of cancellations1,737,482 1,043,918 1,084,951 
Shares issued and outstanding, end of year579,000,841 574,617,195 570,737,283 
Common shares in treasury, end of year(172,280,199)(168,997,994)(168,282,449)
Shares issued and outstanding, end of year406,720,642 405,619,201 402,454,834 
(1)    Includes shares issued from the exercise of stock options and stock appreciation rights, the vesting of restricted share units and shares issued from the employee share purchase plan.
(2)    Such shares represent common shares that were issued upon conversion of the non-voting common equivalent preference shares issued in connection with the AIG acquisition.
Three-For-One Common Share Split
In May 2018, shareholders approved a proposal to amend the memorandum of association by sub-dividing the authorized common shares of Arch Capital to effect a 3-for-one split of Arch Capital’s common shares. The share split changed the Company’s authorized common shares to 1.8 billion common shares (600 million previously), with a par value of $.0011 per share ($.0033 previously). Information pertaining to the composition of the Company’s shareholders’ equity accounts, shares and earnings per share has been retroactively restated in the accompanying financial statements and notes to the consolidated financial statements to reflect the share split.
 Year Ended December 31,
 2017 2016 2015
Common Shares:     
Shares issued and outstanding, beginning of year174,644,101
 173,107,849
 171,672,408
Shares issued (1)1,129,448
 1,149,112
 1,001,667
Conversion of Series D preferred shares (2)7,088,620
 
 
Restricted shares issued, net of cancellations428,573
 387,140
 433,774
Shares issued and outstanding, end of year183,290,742
 174,644,101
 173,107,849
Common shares in treasury, end of year(52,312,803) (51,856,584) (50,480,066)
Shares issued and outstanding, end of year130,977,939
 122,787,517
 122,627,783

(1)ARCH CAPITALIncludes shares issued from the exercise of stock options and stock appreciation rights, and shares issued from the employee share purchase plan.1512020 FORM 10-K
(2)Such shares represent common shares that were issued upon conversion of the non-voting common equivalent preference shares issued in connection with the AIG acquisition.


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Share Repurchase Program
The board of directors of Arch Capital has authorized the investment in Arch Capital’s common shares through a share repurchase program. At December 31, 2017, approximately $446.52020, $916.5 million of share repurchases were available under the program. Repurchases under the program may be effected from time to time in open market or privately negotiated transactions through December 31, 2019.2021. The timing and amount of the repurchase transactions under this program will depend on a variety of factors, including market conditions and corporate and regulatory considerations.
See note 27,Subsequent Events.


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The Company’s repurchases under the share repurchase program were as follows:
 Year Ended December 31,
 2017 2016 2015
Aggregate cost of shares repurchased$
 $75,256
 $365,383
Shares repurchased
 1,140,137
 5,949,625
Average price per share repurchased$
 $66.01
 $61.41
Since the inception of the share repurchase program through December 31, 2017, Arch Capital has repurchased approximately 125.2 million common shares for an aggregate purchase price of $3.68 billion.
Treasury Shares
In May 2010, Arch Capital’s shareholders approved amendments to the bye-laws to permit Arch Capital to hold its own acquired shares as treasury shares in lieu of cancellation, as determined by Arch Capital’s board of directors. From May 5, 2010 to December 31, 2017, all repurchasesRepurchases of Arch Capital’s common shares in connection with the share repurchase plan noted above and other share-based transactions were held in the treasury under the cost method, and the cost of the common shares acquired is included in ‘Common shares held in treasury, at cost.’ At December 31, 2017,2020, Arch Capital held 52.3172.3 million shares for an aggregate cost of $2.08$2.5 billion in treasury, at cost.
The Company’s repurchases under the share repurchase program were as follows:
Year Ended December 31,
202020192018
Aggregate cost of shares repurchased$83,472 $2,871 $282,762 
Shares repurchased2,850,102 110,598 10,559,850 
Average price per share repurchased$29.29 $25.96 $26.78 
Since the inception of the share repurchase program through December 31, 2020, Arch Capital has repurchased approximately 389.2 million common shares for an aggregate purchase price of $4.1 billion.
Convertible Non-Voting Common Equivalent Preferred Shares
On December 31, 2016, the Company completed the acquisition of all of the outstanding shares of capital stock of UGC. Based upon a formula set forth in the Stock Purchase Agreement, AIG received 1,276,282 of Arch Capital’s Series D convertible non-voting common equivalent preferred shares (“Series D Preferred Shares”). Each Series D Preferred Share converts to 10 shares of Arch Capital fully paid non-assessable common stock.
The Company has determined, that based on a review of the terms features and rights of the seriesSeries D preferred shares compared to the rights of the Company’s common shareholders, the underlying 12,762,82038,288,460 common shares that the convertible securities convert to were common share equivalents at the time of their issuance.
On June 8, 2017, Arch Capital and AIG entered into Amendment No. 1 (the “Amendment”) to the Investor Rights Agreement (the “Investor Rights Agreement”) dated as of December 31, 2016 to amend the restrictions on transfers of the Series D Preferred Shares owned by AIG. Pursuant to the Amendment, Arch Capital permitted AIG to transfer: (i) 638,141 Series D Preferred Shares from and after June 8, 2017, and up to an additional 95,721 of the Series D Preferred Shares
to the extent that the several underwriters exercise the option to purchase additional securities expected to be granted pursuant to an underwritten secondary offering of Arch Capital common shares issuable upon conversion of the Series D Preferred Shares by AIG and (ii) any and all of the Series D Preferred Shares from and after January 15, 2018, subject to certain exceptions, and in each case subject to the terms and conditions of the Investor Rights Agreement. All other terms of the Investor Rights Agreement remain in effect.
In June 2017, Arch Capital completed an underwritten public secondary offering of 7,088,62021,265,860 common shares by AIG following transfer of 708,862 Series D Preferred Shares. In March 2018, Arch Capital completed an underwritten public secondary offering of 17,022,600 common shares by AIG following transfer of 567,420 Series D Preferred Shares. Proceeds from the sale of common shares pursuant to the public offering were received by AIG. At December 31, 2017, 567,4202020 and 2018, 0 Series D Preferred Shares were outstanding, representing 5,674,200 common share equivalents.outstanding.
Series F Preferred Shares
In August 2017 and November 2017, Arch Capital completed combined $330 million of underwritten public offerings ($230 million in August 2017 and $100 million in November 2017) of 13.2 million depositary shares (the “Series F Depositary Shares”), each of which represents a 1/1,000th interest in a share of its 5.45% Non-Cumulative Preferred Shares, Series F, havewith a $0.01 par value and $25,000 liquidation preference per share (equivalent to $25 liquidation preference per Series F Depositary Share) (the “Series F Preferred Shares”). Each Series F Depositary Share, evidenced by a depositary receipt, entitles the holder, through the depositary, to a proportional fractional interest in all rights and preferences of the Series F Preferred Shares represented thereby (including any dividend, liquidation, redemption and voting rights).
Holders of Series F Preferred Shares will be entitled to receive dividend payments only when, as and if declared by our board of directors or a duly authorized committee of the board. Any such dividends will be payable from, and including, the date of original issue on a noncumulative basis, quarterly in arrears on the last day of March, June, September and December of each year, at an annual rate of 5.45%. Dividends on the Series F Preferred Shares are not cumulative. The Company will be restricted from paying dividends on or repurchasing its common shares unless certain dividend payments are made on the Series F Preferred Shares.
Except in specified circumstances relating to certain tax or corporate events, the Series F Preferred Shares are not redeemable prior to August 17, 2022 (the fifth anniversary of the issue date). On and after that date, the Series F Preferred Shares will be redeemable at the Company’s option, in whole or in part, at a redemption price of $25,000 per share of the Series F Preferred Shares (equivalent to $25 per depositary share), plus any declared and unpaid dividends, without accumulation of any undeclared dividends to, but excluding, the redemption date. The Series F Depositary Shares will be


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redeemed if and to the extent the related Series F Preferred Shares are redeemed by the Company. Neither the Series F Depositary Shares nor the Series F Preferred Shares have a stated maturity, nor will they be subject to any sinking fund or mandatory redemption. The Series F Preferred Shares are

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not convertible into any other securities. The Series F Preferred Shares will not have voting rights, except under limited circumstances. The net proceeds from the Series F Preferred Share offerings were used to redeem the Company’s outstanding 6.75% Series C Non-Cumulative Preferred Shares, as described below.Shares.
Series E Preferred Shares
On September 29, 2016, Arch Capital completed a $450 million underwritten public offering of 18.0 million depositary shares (the “Series E Depositary Shares”), each of which represents a 1/1,000th interest in a share of its 5.25% Non-Cumulative Preferred Shares, Series E, havewith a $0.01 par value and $25,000 liquidation preference per share (equivalent to $25 liquidation preference per Series E Depositary Share) (the “Series E Preferred Shares”). Each Series E Depositary Share, evidenced by a depositary receipt, entitles the holder, through the depositary, to a proportional fractional interest in all rights and preferences of the Series E Preferred Shares represented thereby (including any dividend, liquidation, redemption and voting rights).
Holders of Series E Preferred Shares will be entitled to receive dividend payments only when, as and if declared by our board of directors or a duly authorized committee of the board. Any such dividends will be payable from, and including, the date of original issue on a non-cumulative basis, quarterly in arrears on the last day of March, June, September and December of each year, at an annual rate of 5.25%. Dividends on the Series E Preferred Shares are not cumulative. The Company will be restricted from paying dividends on or repurchasing its common shares unless certain dividend payments are made on the Series E preferred shares.
Except in specified circumstances relating to certain tax or corporate events, the Series E Preferred Shares are not redeemable prior to September 29, 2021 (the fifth anniversary of the issue date). On and after that date, the Series E Preferred Shares will be redeemable at the Company’s option, in whole or in part, at a redemption price of $25,000 per share of the Series E Preferred Shares (equivalent to $25 per Series E Depositary Share), plus any declared and unpaid dividends, without accumulation of any undeclared dividends to, but excluding, the redemption date. The Series E Depositary Shares will be redeemed if and to the extent the related Series E Preferred Shares are redeemed by the Company. Neither the Series E Depositary Shares nor the Series E Preferred Shares have a stated maturity, nor will they be subject to any sinking fund or mandatory redemption. The Series E Preferred Shares are not convertible into any other securities. The Series E
Preferred Shares will not have voting rights, except under limited circumstances.
Series C Preferred Shares
On AprilJanuary 2, 2012,2018, Arch Capital completed the underwritten public offering of $325.0 million of itsredeemed all outstanding 6.75% Series C non-cumulative preferred shares (“Series C Preferred Shares”). In the 2016 fourth quarter, Arch Capital repurchased 97,807 Series C preferred shares at a weighted average price of $25.48 per share ($2.5 million aggregate cost). In September 2017, the Company used the net proceeds from the August 2017 Series F Preferred Shares offering to redeem 9.2 million Series C Preferred Shares at $25 per share ($230 million aggregate cost).shares. The preferred shares were redeemed at a redemption price equal to $25 per share, plus all declared and unpaid dividends to (but excluding) the redemption date. In accordance with GAAP, following the redemption, original issuance costs related to such shares have been removed from additional paid-in capital and recorded as a “loss on redemption of preferred shares.” Such adjustment had no impact on total shareholders’ equity or cash flows. On January 2, 2018, the net proceeds from the November 2017 Series F Preferred Shares offering were used to redeem the Company’s remaining outstanding Series C Preferred Shares.
20.22.    Share-Based Compensation
Long Term Incentive and Share Award Plans
The Company utilizes share-based compensation plans for officers, other employees and directors of Arch Capital and its subsidiaries to provide competitive compensation opportunities, to encourage long-term service, to recognize individual contributions and reward achievement of performance goals and to promote the creation of long-term value for shareholders by aligning the interests of such persons with those of shareholders.
The 2018 Long-Term Incentive and Share Award Plan (the “2018 Plan”) became effective as of May 9, 2018 following approval by shareholders of the Company. The 2018 Plan provides for the issuance of restricted stock units, performance units, restricted shares, performance shares, stock options and stock appreciation rights and other equity-based awards to our employees and directors. The 2018 Plan authorizes the issuance of 34,500,000 common shares and will terminate as to future awards on February 28, 2028. At December 31, 2020, 17,284,108 shares are available for future issuance.
The 2015 Long Term Incentive and Share Award Plan (the (“2015 Plan”) authorizes the issuance of 12,900,000 common shares and became effective as of May 7, 2015 following approval by shareholders of the Company. Officers, otherThe 2015 Plan provides for the issuance of share-based awards to our employees and directors of Arch Capital and its subsidiaries will be eligible for grants of awards under the 2015 Plan. The 2015 Plan will terminate as to future awards on February 26, 2025.
The number of common shares reserved for grants of awards under the 2015 Plan, subject to anti-dilution adjustments in the event of certain changes in the Company’s capital structure is 4,300,000. In addition, no more than 50% of such common shares may be issued in connection with full value awards (i.e., awards other than stock options or SARs) and no more than 2,000,000 common shares may be issued as incentive stock options under Section 422 of the Code. At December 31, 2017, 1,312,8992020, 555,759 shares are available for future issuance.


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The 2012 Long Term Incentive and Share Award Plan (the “2012 Plan”) became effective as of May 9, 2012 (the “Effective Date”) following approval by shareholders of the Company. The 2012 Plan provides forauthorizes the grant to eligible employees and directors stock options, stock appreciation rights (“SARs”), restricted shares, restricted share units payable inissuance of 22,301,772 common shares or cash, share awards in lieu of cash awards, dividend equivalents and other share-based awards. The 2012 Plan also provides the Company’s non-employee directors with the opportunity to receive the annual retainer fee for Board service in common shares. The 2012 Plan will terminate as to future awards on February 28, 2022.
The number of common shares reserved for grants of awards under the 2012 Plan, subject to anti-dilution adjustments in the event of certain changes in the Company’s capital structure is 7,433,924 which is the sum of (i) 4,280,000 and (ii) 3,153,924 shares remaining available for grants under the 2007 Plan. In addition, no more than 50% of such common shares may be issued in connection with full value awards (i.e., awards other than stock options or SARs) and no more than 2,000,000 common shares may be issued as incentive stock options under Section 422 of the Code. At December 31, 2017, 475,5462020, 502,994 shares are available for grant under the 2012 Plan.
Upon shareholder approval on May 6, 2016, the Amended and Restated Arch Capital Group Ltd. 2007 Employee Share

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Purchase Plan (the “ESPP”) became effective. After the amendmenteffective and restatement, a total of 1,563,2594,689,777 common shares were reserved for issuance. The purpose of the ESPP is to give employees of Arch Capital and its subsidiaries an opportunity to purchase common shares through payroll deductions, thereby encouraging employees to share in the economic growth and success of Arch Capital and its subsidiaries. The ESPP is designed to qualify as an “employee share purchase plan” under Section 423 of the Code. At December 31, 2017, approximately 1,209,8762020, 2,267,676 shares remain available for issuance.
The ESPP provides for consecutive six-month offering periods (or other periods of not more than 27 months as determined by the compensation committee) under which participating employees can elect to have up to 20% of their total compensation withheld and applied to the purchase of common shares of the Company at the end of the period. Unless otherwise determined by the compensation committee before an offering period commences, (1) the purchase price will be 85% of the fair market value of the common shares at the beginning of the offering period; and (2) the maximum number of common shares that may be purchased by an employee in any offering period is 3,000 shares. In addition, applicable Code limitations specify, in general, that a participant’s right to purchase stock under the ESPP cannot accumulate at a rate in excess of $25,000 (based on the value at the beginning of the applicable offering periods) per calendar year.
Stock Options and Stock Appreciation Rights
The Company generally issues stock options and SARs to eligible employees, with exercise prices equal to the fair market values of the Company’s Common Shares on the grant dates. Such grants generally vest over a three year period with one-third vesting on the first, second and third anniversaries of the grant date. In addition, in November 2012 the Company issued off-cycle stock options and SARs to certain employees, which vested on the fifth anniversary of the
The grant date. Option awards and SARs have a 10 year contractual life. Refer to Note 3(m) for details related to the Company’s accounting for stock options and SARs.
For purposes of determining estimateddate fair value the Company has computed the estimated fair values of share-based compensation related to stock options and SARsis determined using the Black-Scholes option valuation model and has applied the assumptions set forth in the following table. As described above, stock options and SARs generally vest over a three year period with one-third vesting on the first, second and third anniversaries of the grant date.model. The expected life assumption (i.e., the estimated period of time between the date an option or SAR is granted and the date the option or SAR is exercised) was based on an expected term analysis, which incorporatedincorporates the Company’s historical exercise experience. The CompanyExpected volatility is based its estimate of expected volatility for stock options and SARs granted during 2017 on the Company’s daily historical trading data of its common shares from September 20, 2002, the date marking the completion of the Company’s transition as a worldwide insurance and reinsurance company. For stock options and SARs granted during 2016 and 2015, the Company based its volatility estimate under the same method used for 2017, using the period from September 20, 2002 through the last day of the applicable period.
 Year Ended December 31,
 2017
2016
2015
Dividend yield0.0% 0.0% 0.0%
Expected volatility21.3% 21.7% 22.1%
Risk free interest rate2.0% 1.4% 1.8%
Expected option life6.0 years
 6.0 years
 6.0 years
shares. The Black-Scholes option pricing model requires the input of highly subjective assumptions. Because the Company’s employee stock options and SARs have characteristics significantly different from those of traded options, and because changes in the subjective input assumptions can materially affect the fair value estimate, in management’s opinion, the existing models may not provide a reliable single measure of the fair value of its employee stock options and SARs. In addition, management will continue to assesstable below summarizes the assumptions and methodologies used to calculate estimated fair value of share-based compensation. Circumstances may change and additional data may become available over time, which could result in changes to these assumptions and methodologies, and
used.


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which could materially impact the Company’s fair value determination.
Year Ended December 31,
202020192018
Dividend yield%%%
Expected volatility16.6 %18.1 %21.3 %
Risk free interest rate1.2 %2.5 %2.8 %
Expected option life6.0 years6.0 years6.0 years
A summary of stock option and SAR activity under the Company’s Long Term Incentive and Share Award Plans during 20172020 is presented below:
Year Ended December 31, 2020
Number of
Options / SARs
Weighted Average Exercise PriceWeighted Average Contractual TermAggregate Intrinsic Value
Outstanding, beginning of year18,853,018 $20.94 
Granted1,121,833 $42.34 
Exercised(1,981,216)$10.92 
Forfeited or expired(154,302)$30.13 
Outstanding, end of year17,839,333 $23.32 4.74$234,659 
Exercisable, end of year15,132,810 $21.30 4.10$223,908 
 Year Ended December 31, 2017
 
Number of
Options / SARs
 Weighted Average Exercise Price Weighted Average Contractual Term Aggregate Intrinsic Value
Outstanding, beginning of year6,872,494
 $43.74
    
Granted843,690
 $95.60
    
Exercised(1,073,311) $34.45
    
Forfeited or expired(52,815) $70.92
    
Outstanding, end of year6,590,058
 $51.67
 5.37 $261,674
Exercisable, end of year5,583,343
 $45.83
 4.75 $251,918
The aggregate intrinsic value of stock options and SARs exercised represents the difference between the exercise price of the stock options and SARs and the closing market price of the Company’s common shares on the exercise dates. During 2017,2020, the Company received proceeds of $4.4$5.0 million from the exercise of stock options and recognized a tax benefit of $7.6$3.0 million from the exercise of stock options and SARs.
 Year Ended December 31,
 2017 2016 2015
Weighted average grant date fair value$24.46
 $17.12
 $15.90
Aggregate intrinsic value of Options/SARs exercised$64,173
 $59,617
 $38,616
Year Ended December 31,
202020192018
Weighted average grant date fair value$8.14 $7.90 $7.50 
Aggregate intrinsic value of Options/SARs exercised$59,723 $51,350 $43,468 
Restricted Common Shares and Restricted Units
The Company also issues restricted share and unit awards to eligible employees and directors, for which the fair value is equal to the fair market values of the Company’s Common Shares on the grant dates. Restricted share and unit awards generally vest over a three year period with one-third vesting on the first, second and third anniversaries of the grant date. In addition, in November 2012 the Company issued off-cycle restricted share and unit awards to certain employees, which vested on the fifth anniversary of the grant date. Refer to Note 3(m) for details related to the Company’s accounting for restricted share and unit awards.
A summary of restricted share and restricted unit activity under the Company’s Long Term Incentive and Share Award Plans for 20172020 is presented below:
Restricted
Common
Shares
Restricted
Unit
Awards
Unvested Shares:
Unvested balance, beginning of year1,045,921 1,563,012 
Granted1,328,033 207,297 
Vested(697,090)(620,905)
Forfeited(41,019)(27,685)
Unvested balance, end of year1,635,845 1,121,719 
Weighted Average Grant Date Fair Value:
Unvested balance, beginning of year$31.02 $30.07 
Granted$37.58 $37.32 
Vested$30.86 $29.99 
Forfeited$33.91 $30.76 
Unvested balance, end of year$36.34 $31.43 
 
Restricted
Common
Shares
 
Restricted
Unit
Awards
Unvested Shares:   
Unvested balance, beginning of year1,646,324
 223,486
Granted476,483
 105,909
Vested(1,235,894) (170,494)
Forfeited(47,910) (6,742)
Unvested balance, end of year839,003
 152,159
    
Weighted Average Grant Date Fair Value:   
Unvested balance, beginning of year$54.96
 $54.84
Granted$96.03
 $96.10
Vested$50.94
 $51.23
Forfeited$71.12
 $72.46
Unvested balance, end of year$83.29
 $86.82

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The following table presents the weighted average grant date fair value of restricted shares and restricted unit awards granted and the aggregate fair value of restricted shares and unit awards vesting in each year.
Year Ended December 31,Year Ended December 31,
2017 2016 2015202020192018
Restricted shares and restricted unit awards granted582,392
 480,980
 571,978
Restricted shares and restricted unit awards granted1,535,330 1,195,741 1,563,287 
Weighted average grant date fair value$96.05
 $71.73
 $62.69
Weighted average grant date fair value$37.55 $32.89 $26.86 
Aggregate fair value of vested restricted shares and units awards$133,848
 $45,206
 $43,800
Aggregate fair value of vested restricted share and unit awardsAggregate fair value of vested restricted share and unit awards$39,703 $46,262 $39,898 
The aggregate intrinsic value of restricted units outstanding at December 31, 20172020 was $27.6 million,$40.5 million.
Performance Awards
The Company also issues performance share and unit awards (“performance awards”) to eligible employees, which are earned based on the aggregate intrinsicachievement of pre-established threshold, target and maximum goals over three-year performance periods. Final payouts depend on the level of achievement along with each employees continued service through the vest date. The grant date fair value of restrictedthe performance awards is measured using a Monte Carlo simulation model, which incorporated the assumptions summarized in the table below. Expected volatility is based on the Company’s daily historical trading data of its common shares. The cumulative compensation expense recognized and unrecognized as of any reporting period date represents the adjusted estimate of performance shares and units vested and deferred was $13.8 million.that will ultimately be awarded, valued at their original grant date fair values.
Year Ended December 31,
202020192018
Expected volatility18.1 %17.1 %16.2 %
Risk free interest rate1.1 %2.5 %2.6 %
Performance
Shares
Performance
Units
Unvested Shares:
Unvested balance, beginning of year1,400,914 23,767 
Granted548,906 8,298 
Vested
Forfeited(98,438)
Unvested balance, end of year1,851,382 32,065 
Weighted Average Grant Date Fair Value:
Unvested balance, beginning of year$30.29 $29.75 
Granted$44.17 $44.17 
Vested$$
Forfeited$30.01 $
Unvested balance, end of year$34.42 $33.48 
The following table presents the weighted average grant date fair values of performance awards granted.
Year Ended December 31,
202020192018
Performance awards557,204 696,360 743,513 
Weighted average grant date fair value$44.17 $36.05 $24.77 
The issuance of share-based awards and amortization thereon has no effect on the Company’s consolidated shareholders’ equity.


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Share-Based Compensation Expense
The following tables present pre-tax and after-tax share-based compensation expense recognized as well as the unrecognized compensation cost associated with unvested awards and the weighted average period over which it is expected to be recognized.
Year Ended December 31,
202020192018
Pre-Tax
Stock options and SARs$11,744 $12,866 $16,272 
Restricted share and unit awards41,284 38,988 34,025 
Performance awards14,729 8,949 4,414 
ESPP2,135 3,045 1,224 
Total$69,892 $63,848 $55,935 
After-Tax
Stock options and SARs$10,388 $11,450 $14,894 
Restricted share and unit awards34,599 32,999 29,044 
Performance awards13,380 8,295 4,127 
ESPP1,978 2,758 1,114 
Total$60,345 $55,502 $49,179 
December 31, 2020
Stock Options and SARsRestricted Common
Shares and Units
Performance Common Shares and Units
Unrecognized compensation cost related to unvested awards$9,333 $52,726 $9,450 
Weighted average recognition period (years)1.021.480.66
 Year Ended December 31,
 2017 2016 2015
Pre-Tax     
Stock options and SARs$18,536
 $14,095
 $12,715
Restricted share and unit awards46,884
 40,398
 41,481
ESPP2,443
 2,089
 1,893
Total$67,863
 $56,582
 $56,089
      
After-Tax     
Stock options and SARs$16,219
 $11,885
 $10,504
Restricted share and unit awards37,708
 31,660
 32,889
ESPP2,171
 1,861
 1,694
Total$56,098
 $45,406
 $45,087
 December 31, 2017
 Stock Options and SARs 
Restricted Common
Shares and Units
Unrecognized compensation cost related to unvested awards$10,357
 $40,942
Weighted average recognition period (years)1.08
 1.11
21.23.    Retirement Plans
For purposes of providing employees with retirement benefits, the Company maintains defined contribution retirement plans. Contributions are based on the participants’ eligible compensation. For 2017, 20162020, 2019 and 2015,2018, the Company expensed $40.7$52.0 million, $30.6$44.8 million and $29.7$40.8 million, respectively, related to these retirement plans.
22.

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24.    Legal Proceedings
The Company, in common with the insurance industry in general, is subject to litigation and arbitration in the normal course of its business. As of December 31, 2017,2020, the Company was not a party to any litigation or arbitration which is expected by management to have a material adverse effect on the Company’s results of operations and financial condition and liquidity.
23.25.    Statutory Information
The Company’s insurance and reinsurance subsidiaries are subject to insurance and/or reinsurance laws and regulations in the jurisdictions in which they operate. These regulations include certain restrictions on the amount of dividends or other distributions available to shareholders without prior approval of the insurance regulatory authorities.
The actual and required statutory capital and surplus for the Company’s principal operating subsidiaries at December 31, 20172020 and 2016:2019:
December 31,
20202019
Actual capital and surplus (1):
Bermuda$16,193,415 $13,511,729 
Ireland883,337 721,439 
United States4,904,840 4,440,848 
United Kingdom967,440 748,276 
Canada64,286 61,351 
Required capital and surplus:
Bermuda$6,431,413 $5,492,968 
Ireland701,161 542,703 
United States1,644,324 1,697,640 
United Kingdom601,662 349,328 
Canada37,441 32,763 
 December 31,
 2017 2016
Actual capital and surplus (1):   
Bermuda$9,841,225
 $8,960,248
Ireland543,929
 607,410
United States4,850,148
 4,660,855
United Kingdom320,857
 340,300
Canada63,390
 71,247
    
Required capital and surplus:   
Bermuda$3,761,939
 $3,077,684
Ireland383,966
 283,544
United States1,816,919
 1,811,938
United Kingdom270,242
 276,928
Canada35,846
 35,858
(1)Such amounts include ownership interests in affiliated insurance and reinsurance subsidiaries.
(1)Such amounts include ownership interests in affiliated insurance and reinsurance subsidiaries.
There were no state-prescribed or permitted regulatory accounting practices for any of the Company’s insurance or reinsurance entities that resulted in reported statutory surplus that differed from that which would have been reported under the prescribed practices of the respective regulatory authorities, including the National Association of Insurance Commissioners. The differences between statutory financial statements and statements prepared in accordance with GAAP vary by jurisdiction, however, with the primary differences being that statutory financial statements may not reflect deferred acquisition costs, certain net deferred tax assets, goodwill and intangible assets, unrealized appreciation or depreciation on debt securities and certain unauthorized reinsurance recoverables and include contingency reserves.


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The statutory net income (loss) for the Company’s principal operating subsidiaries for 2017, 20162020, 2019 and 20152018 was as follows:
Year Ended December 31,Year Ended December 31,
2017 2016 2015202020192018
Statutory net income (loss):     Statutory net income (loss):
Bermuda$881,665
 $886,492
 $514,151
Bermuda$1,665,261 $1,876,416 $919,554 
Ireland(14,438) 26,935
 29,041
Ireland18,397 26,367 29,223 
United States500,412
 67,826
 76,604
United States143,271 481,188 292,831 
United Kingdom(33,257) (7,512) (6,924)United Kingdom4,078 (17,423)(18,467)
Canada158
 621
 (1,098)Canada(1,049)(1,023)2,525 
Bermuda
The Company has two Bermuda based subsidiaries: Arch Re Bermuda, a Class 4 general business insurer and Class C long-term insurer, and Watford, Re, a Class 4 general business insurer. Under the Bermuda Insurance Act 1978 (the “Insurance Act”), these subsidiaries are required to maintain minimum statutory capital and surplus equal to the greater of a minimum solvency margin and the enhanced capital requirement as determined by the Bermuda Monetary Authority (“BMA”). The enhanced capital requirement is calculated based on the Bermuda Solvency Capital Requirement model, a risk-based model that takes into account the risk characteristics of different aspects of the company’s business. At December 31, 20172020 and 2016,2019, all such requirements were met.


The ability of these subsidiaries to pay dividends is limited under Bermuda law and regulations. Under the Insurance Act, Arch Re Bermuda is restricted with respect to the payment of dividends. Arch Re Bermuda is prohibited from declaring or paying in any financial year dividends of more than 25% of its total statutory capital and surplus (as shown on its previous financial year’s statutory balance sheet) unless it files, at least seven days before payment of such dividends, with the Bermuda Monetary AuthorityBMA an affidavit stating that it will continue to meet the required margins following the declaration of those dividends. Accordingly, Arch Re Bermuda can pay approximately $2.17$3.8 billion to Arch Capital during 20182021 without providing an affidavit to the BMA.
Ireland
The Company has two3 Irish subsidiaries: Arch Re Europe, an authorized life and non-life reinsurer, and Arch MI Europe,Insurance (EU), an authorized non-life insurer.insurer and Arch Underwriting Europe, a registered insurance and reinsurance intermediary. Irish authorized reinsurers and insurers, such as Arch Re Europe, Arch Insurance (EU) and Irish intermediaries, such as Arch MIUnderwriters Europe, are also subject to the general body of Irish laws and regulations including the provisions of the Companies Act 2014. As part of the Company’s Brexit
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plan, Arch Insurance (EU) received approval from the Central Bank of Ireland (“CBOI”) to expand the nature of its business in 2019 commenced writing insurance lines in the European Economic Area in 2020, and the Part VII Transfer was completed at the end of December 2020. Arch Re Europe, Arch Insurance (EU) and Arch MIUnderwriters Europe are subject to the supervision of the Central Bank of Ireland (“CBOI”)CBOI and must comply with Irish insurance acts and regulations as well as with directions and guidance issued by the CBOI. These subsidiariesArch Re Europe and Arch Insurance (EU) are
required to maintain a minimum level of capital. At December 31, 20172020 and 2016,2019, these requirements were met.


The amount of dividends these subsidiaries are permitted to declare is limited to accumulated, realized profits, so far as not previously utilized by distribution or capitalization, less its accumulated, realized losses, so far as not previously written off in a reduction or reorganization of capital duly made. The solvency and capital requirements must still be met following any distribution. Dividends or distributions, if any, made by Arch Re Europe would result in an increase in available capital at Arch Re Bermuda.


United States
The Company’s U.S. insurance and reinsurance subsidiaries are subject to insurance laws and regulations in the jurisdictions in which they operate. The ability of the Company’s regulated insurance subsidiaries to pay dividends or make distributions is dependent on their ability to meet applicable regulatory standards. These regulations include restrictions that limit the amount of dividends or other distributions, such as loans or cash advances, available to shareholders without prior approval of the insurance regulatory authorities.


Dividends or distributions, if any, made by Arch Re U.S. would result in an increase in available capital at Arch-U.S., the Company’s U.S. holding company. Arch Re U.S. can declare a maximum of approximately $128.8$147.6 million of dividends during 20182021 subject to the approval of the Commissioner of the Delaware Department of Insurance.
Arch Mortgage Insurance CompanyAMIC and United Guaranty Residential Insurance CompanyUGRIC have each been approved as an eligible mortgage insurer by Fannie Mae and Freddie Mac, subject to maintaining certain ongoing requirements (“eligible mortgage insurers”). In April 2015, the GSEs published comprehensive, revised requirements, known as the Private Mortgage Insurer Eligibility Requirements or “PMIERs.” As clarified and revised by the Guidance Letters issued by the GSEs in December 2016 and March 2017, the PMIERs apply to the Company’s eligible mortgage insurers, but do not apply to Arch Mortgage Guaranty Company, which is not GSE-approved.
The amount of assets required to satisfy the revised financial requirements of the PMIERs at any point in time will be affected by many factors, including macro-economic conditions, the size and composition of our eligible mortgage insurers’ mortgage insurance portfolio at the point in time, and the amount of risk ceded to reinsurers that may be deducted in our calculation of “minimum required assets.” The Company’s eligible mortgage insurers satisfied the PMIERs’ financial requirements as of December 31, 2017.
The Company’s U.S. mortgage insurance subsidiaries are subject to detailed regulation by their domiciliary and primary


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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



regulators, the Wisconsin Office of the Commissioner of Insurance (“Wisconsin OCI”) for Arch Mortgage Insurance Company and Arch Mortgage Guaranty Company, the North Carolina Department of Insurance (“NC DOI”) for United Guaranty Residential Insurance Company, and by state insurance departments in each state in which they are licensed. As mandated by state insurance laws, mortgage insurers are generally mono-line companies restricted to writing a single type of insurance business, such as mortgage insurance business. Each company is subject to either Wisconsin or North Carolina statutory requirements as to payment of dividends. Generally, both Wisconsin and North Carolina law precludes any dividend before giving at least 30 days’ notice to the Wisconsin OCI or NC DOI, as applicable, and prohibits paying any dividend unless it is fair and reasonable to do so. In addition, the state regulators and the GSEs limit or restrict our eligible mortgage insurers’ ability to pay stockholder dividends or otherwise return capital to shareholders. Under North Carolinarespective states law, United Guaranty Residential Insurance Companyour U.S. mortgage subsidiaries can declare a maximum of approximately $302.7$143.1 million of ordinary dividends during 2018 subject toin 2021, however, dividend capacity is limited by the approval of the NC DOI.respective companies unassigned surplus amounts. In certain instances, approval by the GSEs would be required for dividends or other forms of return of capital to shareholders due to the requirements under PMIERs, including the minimum required assets imposed on our eligible mortgage insurers by the GSEs. Such dividend would result in an increase in available capital at Arch U.S. MI Holdings Inc., a subsidiary of Arch-U.S. The ability of the Company’s U.S. mortgage insurance subsidiaries to pay dividends is subject to prior notifications and approval through June 30, 2021, pursuant the GSEs’ PMIERs guidance related to COVID-19.
Mortgage insurance companies licensed in Wisconsin or North Carolina are required to establish contingency loss reserves for purposes of statutory accounting in an amount equal to at least 50% of net earned premiums. These amounts generally cannot be withdrawn for a period of 10 years and are separate liabilities for statutory accounting purposes, which affects the ability to pay dividends. However, with prior regulatory approval, a mortgage insurance company may make early withdrawals from the contingency reserve when incurred losses exceed 35% of net premiums earned in a calendar year.

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Under Wisconsin and North Carolina law, as well as that of 14 other states, a mortgage insurer must maintain a minimum amount of statutory capital relative to its risk in force in order for the mortgage insurer to continue to write new business. While formulations of minimum capital vary in certain jurisdictions, the most common measure applied allows for a maximum risk-to-capital ratio of 25 to 1. Wisconsin and North Carolina both require a mortgage insurer to maintain a “minimum policyholder position” calculated in accordance with their respective regulations. Policyholders' position consists primarily of statutory policyholders' surplus plus the statutory contingency reserve, less ceded reinsurance. While the statutory contingency reserve is reported as a liability on the statutory balance sheet, for risk-to-capital ratio calculations, it is included as capital for purposes of statutory capital.
United Kingdom
The Prudential Regulation Authority (“PRA”) and the Financial Conduct Authority (“FCA”) regulate insurance and reinsurance companies and the FCA regulates firms carrying on insurance mediation activities operating in the U.K., both under the Financial Services and Markets Act 2000. The Company’s EuropeanU.K. insurance operations are conducted on two platforms:through Arch Insurance Company Europe(U.K.), Lloyds syndicates: Arch Syndicate 2012 and Arch Syndicate 2012.1955. Arch Managing Agency Limited (“AMAL”) is the managing agent of Arch Syndicate 2012 has one member,and Arch Syndicate Investments Ltd. (“ASIL”)1955. Arch Syndicate 2012 and is managed by Arch Underwriting atSyndicate 1955 provide access to Lloyd’s Ltd (“AUAL”).extensive distribution network and worldwide licenses. AMAL also acts as managing agent for third party members of Arch Syndicate 1955. All U.K. companies are also subject to a range of statutory provisions, including the laws and regulations of the Companies Acts 2006 (as amended) (the “U.K. Companies Acts”).
Arch Insurance Company Europe(U.K.) and AUAL (on behalf of itself, Arch Syndicate 2012 and ASIL)AMAL must maintain a margin of solvency at all times under the Solvency II Directive from the European Insurance and Occupational Pensions Authority. The regulations stipulate that insurers are required to maintain the minimum capital requirement and solvency capital requirement at all times. The capital requirements are calculated by reference to standard formulae defined in Solvency II. At December 31, 20172020 and 2016,2019, our subsidiaries were in compliance with these requirements.

As a corporate membermembers of Lloyd’s, ASIL isAMAL (as managing agent of Arch Syndicate 2012 and Arch Syndicate 1955) and each syndicate’s respective corporate members are subject to the oversight of the Council of Lloyd’s. The capital required to support a Syndicate’s underwriting capacity, or funds at Lloyd’s, is assessed annually and is determined by Lloyd’s in accordance with the capital adequacy rules established by the PRA. The Company has provided capital to support the underwriting of Arch Syndicate 2012 and Arch Syndicate
1955 in the form of pledged assets provided by Arch Re Bermuda. The amount which the Company provides as funds at Lloyd’s is not available for distribution to the Company for the payment of dividends. Lloyd’s is supervised by the PRA and required to implement certain rules prescribed by the PRA under the Lloyd’s Act of 1982 regarding the operation of the Lloyd’s market. With respect to managing agents and corporate members, Lloyd’s prescribes certain minimum standards relating to management and control, solvency and other requirements and monitors managing agents’ compliance with such standards.
Under U.K. law, all U.K. companies are restricted from declaring a dividend to their shareholders unless they have “profits available for distribution.” The calculation as to whether a company has sufficient profits is based on its accumulated realized profits minus its accumulated realized losses. U.K. insurance regulatory laws do not prohibit the payment of dividends, but the PRA or FCA, as applicable, requires that insurance companies and insurance intermediaries maintain certain solvency margins and may restrict the payment of a dividend by Arch Insurance Company Europe, AUAL(U.K.) and ASIL.AMAL.


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Canada
Arch Insurance Canada and the Canadian branch of Arch Re U.S. (“Arch Re Canada”) are subject to federal, as well as provincial and territorial, regulation in Canada. The Office of the Superintendent of Financial Institutions (“OSFI”) is the federal regulatory body that, under the Insurance Companies Act (Canada), regulates federal Canadian and non-Canadian insurance companies operating in Canada. Arch Insurance Canada and Arch Re Canada are subject to regulation in the provinces and territories in which they underwrite insurance/reinsurance, and the primary goal of insurance/reinsurance regulation at the provincial and territorial levels is to govern the market conduct of insurance/reinsurance companies. Arch Insurance Canada is licensed to carry on insurance business by OSFI and in each province and territory. Arch Re Canada is
licensed to carry-on reinsurance business by OSFI and in the provinces of Ontario and Quebec.
Under the Insurance Companies Act (Canada), Arch Insurance Canada is required to maintain an adequate amount of capital in Canada, calculated in accordance with a test promulgated by OSFI called the Minimum Capital Test (“MCT”), and Arch Re Canada is required to maintain an adequate margin of assets over liabilities in Canada, calculated in accordance with a test promulgated by OSFI called the Branch Adequacy of Assets Test. Dividends or distributions, if any, made by Arch Insurance Canada would result in an increase in available capital at Arch Insurance Company (see “—United States” section).

24.    Unaudited Condensed Quarterly Financial Information
The following table summarizes the 2017 and 2016 unaudited condensed quarterly financial information:
 
Fourth
Quarter
 
Third
Quarter
 
Second
Quarter
 
First
Quarter
Year Ended December 31, 2017       
Net premiums written$1,111,015
 $1,325,403
 $1,248,695
 $1,276,260
Net premiums earned1,224,755
 1,261,886
 1,240,874
 1,117,017
Net investment income125,415
 116,459
 111,124
 117,874
Net realized gains (losses)26,978
 66,275
 21,735
 34,153
Net impairment losses recognized in earnings(1,723) (1,878) (1,730) (1,807)
Underwriting income (loss)182,111
 (142,172) 195,419
 212,072
Net income (loss) attributable to Arch214,640
 (33,656) 185,167
 253,127
Preferred dividends(11,105) (12,369) (11,349) (11,218)
Net income (loss) available to Arch common shareholders203,535
 (52,760) 173,818
 241,909
Net income (loss) per common share -- basic$1.50
 $(0.39) $1.29
 $1.80
Net income (loss) per common share -- diluted$1.46
 $(0.39) $1.25
 $1.74
        
Year Ended December 31, 2016       
Net premiums written$872,315
 $1,014,278
 $1,023,563
 $1,121,235
Net premiums earned968,855
 958,403
 1,005,985
 951,579
Net investment income91,051
 93,618
 88,338
 93,735
Net realized gains (losses)(93,061) 125,105
 68,218
 37,324
Net impairment losses recognized in earnings(13,593) (3,867) (5,343) (7,639)
Underwriting income114,096
 127,647
 116,626
 115,691
Net income attributable to Arch74,013
 252,872
 211,055
 154,798
Preferred dividends(11,617) (5,484) (5,485) (5,484)
Net income available to Arch common shareholders62,396
 247,388
 205,570
 149,314
Net income per common share -- basic$0.51
 $2.05
 $1.70
 $1.24
Net income per common share -- diluted$0.50
 $1.98
 $1.65
 $1.20



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25.    Guarantor26.    Unaudited Condensed Quarterly Financial Information
The following tables present condensed consolidating balance sheets at December 31, 2017 and 2016 and condensed consolidating statements of income, comprehensive income and cash flows for 2017, 2016 and 2015 for Arch Capital, Arch-U.S., a 100% owned subsidiary of Arch Capital, and Arch Capital's other subsidiaries.
 December 31, 2017
Condensed Consolidating Balance SheetArch Capital (Parent Guarantor) Arch-U.S. (Subsidiary Issuer) Other Arch Capital Subsidiaries Consolidating Adjustments and Eliminations Arch Capital Consolidated
Assets         
Total investments$96,540
 $46,281
 $21,711,891
 $(14,700) $21,840,012
Cash9,997
 30,380
 565,822
 
 606,199
Investments in subsidiaries9,396,621
 4,097,765
 
 (13,494,386) 
Due from subsidiaries and affiliates394
 
 1,828,864
 (1,829,258) 
Premiums receivable
 
 2,967,701
 (1,832,452) 1,135,249
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses
 
 8,442,192
 (5,902,049) 2,540,143
Contractholder receivables
 
 1,978,414
 
 1,978,414
Ceded unearned premiums
 
 2,165,789
 (1,239,178) 926,611
Deferred acquisition costs
 
 693,053
 (157,229) 535,824
Goodwill and intangible assets
 
 652,611
 
 652,611
Other assets13,176
 49,585
 1,860,505
 (86,671) 1,836,595
Total assets$9,516,728
 $4,224,011
 $42,866,842
 $(24,555,923) $32,051,658
          
Liabilities         
Reserve for losses and loss adjustment expenses$
 $
 $17,236,401
 $(5,852,609) $11,383,792
Unearned premiums
 
 4,861,491
 (1,239,177) 3,622,314
Reinsurance balances payable
 
 2,155,947
 (1,832,451) 323,496
Contractholder payables
 
 1,978,414
 
 1,978,414
Collateral held for insured obligations
 
 240,183
 
 240,183
Deposit accounting liabilities
 
 
 
 
Senior notes297,053
 494,621
 941,210
 
 1,732,884
Revolving credit agreement borrowings
 
 816,132
 
 816,132
Due to subsidiaries and affiliates235
 536,919
 1,292,104
 (1,829,258) 
Other liabilities22,838
 29,317
 1,949,696
 (293,343) 1,708,508
Total liabilities320,126
 1,060,857
 31,471,578
 (11,046,838) 21,805,723
          
Redeemable noncontrolling interests
 
 220,622
 (14,700) 205,922
          
Shareholders' Equity         
Total shareholders' equity available to Arch9,196,602
 3,163,154
 10,331,231
 (13,494,385) 9,196,602
Non-redeemable noncontrolling interests
 
 843,411
 
 843,411
Total shareholders' equity9,196,602
 3,163,154
 11,174,642
 (13,494,385) 10,040,013
          
Total liabilities, noncontrolling interests and shareholders' equity$9,516,728
 $4,224,011
 $42,866,842
 $(24,555,923) $32,051,658



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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
Fourth
Quarter
Third
Quarter
Second
Quarter
First
Quarter
Year Ended December 31, 2020
Net premiums written$1,758,015 $1,874,144 $1,668,311 $2,137,246 
Net premiums earned1,811,045 1,771,092 1,665,354 1,744,444 
Net investment income114,458 128,512 131,485 145,153 
Net realized gains (losses)353,333 280,499 556,588 (366,960)
Underwriting income (loss)220,987 96,604 (22,539)154,050 
Net income (loss) attributable to Arch543,544 419,039 298,821 144,117 
Preferred dividends(10,403)(10,403)(10,403)(10,403)
Net income (loss) available to Arch common shareholders533,141 408,636 288,418 133,714 
Net income (loss) per common share -- basic$1.32 $1.01 $0.72 $0.33 
Net income (loss) per common share -- diluted$1.30 $1.00 $0.71 $0.32 
Year Ended December 31, 2019
Net premiums written$1,455,453 $1,613,457 $1,444,898 $1,525,259 
Net premiums earned1,515,882 1,438,023 1,463,727 1,368,866 
Net investment income154,263 161,488 155,038 156,949 
Net realized gains (losses)40,830 61,355 120,757 140,256 
Underwriting income (loss)251,421 231,262 293,134 260,148 
Net income (loss) attributable to Arch326,384 392,453 468,954 448,528 
Preferred dividends(10,403)(10,403)(10,403)(10,403)
Net income (loss) available to Arch common shareholders315,981 382,050 458,551 438,125 
Net income (loss) per common share -- basic$0.78 $0.95 $1.14 $1.09 
Net income (loss) per common share -- diluted$0.76 $0.92 $1.12 $1.07 
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



 December 31, 2016
Condensed Consolidating Balance SheetArch Capital (Parent Guarantor) Arch-U.S. (Subsidiary Issuer) Other Arch Capital Subsidiaries Consolidating Adjustments and Eliminations Arch Capital Consolidated
Assets         
Total investments$2,612
 $41,672
 $19,690,067
 $(14,700) $19,719,651
Cash1,687
 71,955
 769,300
 
 842,942
Investments in subsidiaries8,660,586
 3,716,681
 
 (12,377,267) 
Due from subsidiaries and affiliates14,297
 51,298
 1,866,681
 (1,932,276) 
Premiums receivable
 
 1,579,865
 (507,430) 1,072,435
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses
 
 6,114,518
 (4,000,380) 2,114,138
Contractholder receivables
 
 1,717,436
 
 1,717,436
Ceded unearned premiums
 
 1,985,311
 (1,125,744) 859,567
Deferred acquisition costs
 
 577,461
 (129,901) 447,560
Goodwill and intangible assets
 
 781,553
 
 781,553
Other assets15,725
 49,244
 1,901,786
 (149,928) 1,816,827
Total assets$8,694,907
 $3,930,850
 $36,983,978
 $(20,237,626) $29,372,109
          
Liabilities         
Reserve for losses and loss adjustment expenses$
 $
 $14,164,191
 $(3,963,231) $10,200,960
Unearned premiums
 
 4,532,614
 (1,125,744) 3,406,870
Reinsurance balances payable
 
 807,837
 (507,430) 300,407
Contractholder payables
 
 1,717,436
 
 1,717,436
Collateral held for insured obligations
 
 301,406
 
 301,406
Deposit accounting liabilities
 
 22,150
 
 22,150
Senior notes296,957
 494,525
 940,776
 
 1,732,258
Revolving credit agreement borrowings100,000
 
 656,650
 
 756,650
Due to subsidiaries and affiliates26,270
 535,584
 1,370,422
 (1,932,276) 
Other liabilities17,962
 54,823
 1,867,040
 (316,978) 1,622,847
Total liabilities441,189
 1,084,932
 26,380,522
 (7,845,659) 20,060,984
          
Redeemable noncontrolling interests
 
 220,253
 (14,700) 205,553
          
Shareholders' Equity         
Total shareholders' equity available to Arch8,253,718
 2,845,918
 9,531,349
 (12,377,267) 8,253,718
Non-redeemable noncontrolling interests
 
 851,854
 
 851,854
Total shareholders' equity8,253,718
 2,845,918
 10,383,203
 (12,377,267) 9,105,572
          
Total liabilities, noncontrolling interests and shareholders' equity$8,694,907
 $3,930,850
 $36,983,978
 $(20,237,626) $29,372,109



27.    Subsequent Events
ARCH CAPITAL1672017 FORM 10-K

Coface

TableOn February 10, 2021, the Company announced that it had completed the share purchase agreement with Natixis to purchase a 29.5% stake in Coface, a France-based leader in the global trade credit insurance market. The consideration paid was €9.95 per share, or an aggregate €453 million including related fees. In connection with our minority stake in Coface, the Company has four representatives on the Coface Board of ContentsDirectors.
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIESShare Repurchases
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS


From January 1 to February 24, 2021, the Company repurchased approximately 4.6 million common shares for an aggregate purchase price of $154.9 million. At February 24, 2021 approximately $761.6 million of repurchases were available under the share repurchase program.

Reinsurance to Close
As part of the Company’s acquisition of Barbican, on February 18, 2021, the Company entered into an agreement with Premia Managing Agency Limited for the Reinsurance to Close (“RITC”) of Syndicate 1955’s 2018 underwriting year of account into Premia Syndicate 1884’s 2021 underwriting year of account. The RITC covers legacy business underwritten by Syndicate 1955 on the underwriting 2018 and prior years of account and under the agreement, approximately $380 million of net liabilities transferred to Syndicate 1884, with an effective date of January 1, 2021.
Texas Winter Storm
In February 2021, a winter storm struck Texas and other parts of the southern U.S., resulting in significant insured losses. It is too early to reasonably estimate losses for this recent event given the significant unknowns, the early stage of the damage assessment process and the unusual nature of the event.
 Year Ended December 31, 2017
Condensed Consolidating Statement of Income and Comprehensive IncomeArch Capital (Parent Guarantor) Arch-U.S. (Subsidiary Issuer) Other Arch Capital Subsidiaries Consolidating Adjustments and Eliminations Arch Capital Consolidated
Revenues         
Net premiums earned$
 $
 $4,844,532
 $
 $4,844,532
Net investment income243
 1,420
 559,963
 (90,754) 470,872
Net realized gains (losses)
 
 149,141
 
 149,141
Net impairment losses recognized in earnings
 
 (7,138) 
 (7,138)
Other underwriting income
 
 30,253
 
 30,253
Equity in net income (loss) of investment funds accounted for using the equity method
 
 142,286
 
 142,286
Other income (loss)(482) 
 (2,089) 
 (2,571)
Total revenues(239) 1,420
 5,716,948
 (90,754) 5,627,375
          
Expenses         
Losses and loss adjustment expenses
 
 2,967,446
 
 2,967,446
Acquisition expenses
 
 775,458
 
 775,458
Other operating expenses
 
 684,451
 
 684,451
Corporate expenses67,450
 4,152
 12,150
 
 83,752
Amortization of intangible assets���
 
 125,778
 
 125,778
Interest expense23,560
 47,993
 135,342
 (89,464) 117,431
Net foreign exchange (gains) losses2
 
 68,900
 46,880
 115,782
Total expenses91,012
 52,145
 4,769,525
 (42,584) 4,870,098
          
Income (loss) before income taxes(91,251) (50,725) 947,423
 (48,170) 757,277
Income tax (expense) benefit
 10,333
 (137,901) 
 (127,568)
Income (loss) before equity in net income of subsidiaries(91,251) (40,392) 809,522
 (48,170) 629,709
Equity in net income of subsidiaries710,529
 303,991
 
 (1,014,520) 
Net income619,278
 263,599
 809,522
 (1,062,690) 629,709
Net (income) loss attributable to noncontrolling interests
 
 (11,721) 1,290
 (10,431)
Net income available to Arch619,278
 263,599
 797,801
 (1,061,400) 619,278
Preferred dividends(46,041) 
 
 
 (46,041)
Loss on redemption of preferred shares

(6,735) 
 
 
 (6,735)
Net income available to Arch common shareholders$566,502
 $263,599
 $797,801
 $(1,061,400) $566,502
          
Comprehensive income (loss) available to Arch$851,863
 $288,752
 $983,475
 $(1,272,227) $851,863



ARCH CAPITAL1592020 FORM 10-K

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ARCH CAPITAL1682017 FORM 10-K


Table of Contents
ARCH CAPITAL GROUP LTD.ITEM 9. CHANGES IN AND SUBSIDIARIES
NOTES TO CONSOLIDATEDDISAGREEMENTS WITH ACCOUNTANTS ON ACCOUNTING AND FINANCIAL STATEMENTS



 Year Ended December 31, 2016
Condensed Consolidating Statement of Income and Comprehensive IncomeArch Capital (Parent Guarantor) Arch-U.S. (Subsidiary Issuer) Other Arch Capital Subsidiaries Consolidating Adjustments and Eliminations Arch Capital Consolidated
Revenues         
Net premiums earned$
 $
 $3,884,822
 $
 $3,884,822
Net investment income694
 3,162
 393,114
 (30,228) 366,742
Net realized gains (losses)12
 5
 137,569
 
 137,586
Net impairment losses recognized in earnings
 
 (30,442) 
 (30,442)
Other underwriting income
 
 73,671
 (16,498) 57,173
Equity in net income (loss) of investment funds accounted for using the equity method
 
 48,475
 
 48,475
Other income (loss)180
 
 (980) 
 (800)
Total revenues886
 3,167
 4,506,229
 (46,726) 4,463,556
          
Expenses         
Losses and loss adjustment expenses
 
 2,185,599
 
 2,185,599
Acquisition expenses
 
 667,625
 
 667,625
Other operating expenses
 
 624,090
 
 624,090
Corporate expenses49,540
 1,940
 30,266
 
 81,746
Amortization of intangible assets
 
 19,343
 
 19,343
Interest expense23,769
 27,165
 60,757
 (45,439) 66,252
Net foreign exchange (gains) losses
 
 (17,217) (19,434) (36,651)
Total expenses73,309
 29,105
 3,570,463
 (64,873) 3,608,004
          
Income (loss) before income taxes(72,423) (25,938) 935,766
 18,147
 855,552
Income tax (expense) benefit
 8,676
 (40,050) 
 (31,374)
Income (loss) before equity in net income of subsidiaries(72,423) (17,262) 895,716
 18,147
 824,178
Equity in net income of subsidiaries765,161
 54,497
 
 (819,658) 
Net income692,738
 37,235
 895,716
 (801,511) 824,178
Net (income) loss attributable to noncontrolling interests
 
 (132,727) 1,287
 (131,440)
Net income available to Arch692,738
 37,235
 762,989
 (800,224) 692,738
Preferred dividends(28,070) 
 
 
 (28,070)
Net income available to Arch common shareholders$664,668
 $37,235
 $762,989
 $(800,224) $664,668
          
Comprehensive income (loss) available to Arch$594,699
 $13,444
 $684,447
 $(697,891) $594,699


DISCLOSURE
ARCH CAPITAL1692017 FORM 10-K


Table of ContentsNone.
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



 Year Ended December 31, 2015
Condensed Consolidating Statement of Income and Comprehensive IncomeArch Capital (Parent Guarantor) Arch-U.S. (Subsidiary Issuer) Other Arch Capital Subsidiaries Consolidating Adjustments and Eliminations Arch Capital Consolidated
Revenues         
Net premiums earned$
 $
 $3,733,905
 $
 $3,733,905
Net investment income1
 2,342
 368,413
 (22,666) 348,090
Net realized gains (losses)
 1
 (185,843) 
 (185,842)
Net impairment losses recognized in earnings
 
 (20,116) 
 (20,116)
Other underwriting income
 
 35,739
 (242) 35,497
Equity in net income (loss) of investment funds accounted for using the equity method
 
 25,455
 
 25,455
Other income (loss)
 
 (399) 
 (399)
Total revenues1
 2,343
 3,957,154
 (22,908) 3,936,590
          
Expenses         
Losses and loss adjustment expenses
 
 2,050,903
 
 2,050,903
Acquisition expenses
 
 662,778
 
 662,778
Other operating expenses
 
 603,288
 
 603,288
Corporate expenses48,107
 3,689
 (2,051) 
 49,745
Amortization of intangible assets
 
 22,926
 
 22,926
Interest expense23,450
 26,502
 18,024
 (22,102) 45,874
Net foreign exchange (gains) losses
 
 (41,622) (24,496) (66,118)
Total expenses71,557
 30,191
 3,314,246
 (46,598) 3,369,396
          
Income (loss) before income taxes(71,556) (27,848) 642,908
 23,690
 567,194
Income tax (expense) benefit
 9,732
 (50,344) 
 (40,612)
Income (loss) before equity in net income of subsidiaries(71,556) (18,116) 592,564
 23,690
 526,582
Equity in net income of subsidiaries609,294
 50,156
 
 (659,450) 
Net income537,738
 32,040
 592,564
 (635,760) 526,582
Net (income) loss attributable to noncontrolling interests
 
 10,351
 805
 11,156
Net income available to Arch537,738
 32,040
 602,915
 (634,955) 537,738
Preferred dividends(21,938) 
 
 
 (21,938)
Net income available to Arch common shareholders$515,800
 $32,040
 $602,915
 $(634,955) $515,800
          
Comprehensive income (loss) available to Arch$392,379
 $838
 $482,047
 $(482,885) $392,379


ARCH CAPITAL1702017 FORM 10-K


Table of Contents
ARCH CAPITAL GROUP LTD.ITEM 9A. CONTROLS AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



 Year Ended December 31, 2017
Condensed Consolidating Statement
of Cash Flows
Arch Capital (Parent Guarantor) Arch-U.S. (Subsidiary Issuer) Other Arch Capital Subsidiaries Consolidating Adjustments and Eliminations Arch Capital Consolidated
Operating Activities         
Net Cash Provided By (Used For)
Operating Activities
$159,130
 $(10,289) $1,667,490
 $(703,714) $1,112,617
Investing Activities         
Purchases of fixed maturity investments
 
 (36,806,913) 
 (36,806,913)
Purchases of equity securities
 
 (1,021,016) 
 (1,021,016)
Purchases of other investments
 
 (2,020,624) 
 (2,020,624)
Proceeds from the sales of fixed maturity investments
 
 35,686,779
 
 35,686,779
Proceeds from the sales of equity securities
 
 1,056,401
 
 1,056,401
Proceeds from the sales, redemptions and maturities of other investments
 
 1,528,617
 
 1,528,617
Proceeds from redemptions and maturities of fixed maturity investments
 
 907,417
 
 907,417
Net settlements of derivative instruments
 
 (28,563) 
 (28,563)
Net (purchases) sales of short-term investments(93,864) (4,586) (636,104) 
 (734,554)
Change in cash collateral related to securities lending
 
 12,540
 
 12,540
Contributions to subsidiaries20,457
 (73,700) (423,998) 477,241
 
Issuance of intercompany loans
 
 (47,000) 47,000
 
Repayments of intercompany loans
 47,000
 80,840
 (127,840) 
Acquisitions, net of cash
 
 (27,709) 
 (27,709)
Purchases of fixed assets(18) 
 (22,823) 
 (22,841)
Other
 
 131,111
 (20,641) 110,470
Net Cash Provided By (Used For)
Investing Activities
(73,425) (31,286) (1,631,045) 375,760
 (1,359,996)
Financing Activities         
Proceeds from issuance of preferred shares, net319,694
 
 
 
 319,694
Redemption of preferred shares(230,000) 
 
 
 (230,000)
Proceeds from common shares issued, net(21,048) 
 477,244
 (477,244) (21,048)
Proceeds from intercompany borrowings
 
 47,000
 (47,000) 
Proceeds from borrowings
 
 253,415
 
 253,415
Repayments of intercompany loans
 
 (127,840) 127,840
 
Repayments of borrowings(100,000) 
 (97,000) 
 (197,000)
Change in cash collateral related to securities lending
 
 (12,540) 
 (12,540)
Dividends paid to redeemable noncontrolling interests
 
 (19,264) 1,275
 (17,989)
Dividends paid to parent (1)
 
 (702,442) 702,442
 
Other
 
 (72,537) 20,641
 (51,896)
Preferred dividends paid(46,041) 
 
 
 (46,041)
Net Cash Provided By (Used For)
Financing Activities
(77,395) 
 (253,964) 327,954
 (3,405)
Effects of exchange rates changes on foreign currency cash
 
 14,041
 
 14,041
Increase (decrease) in cash8,310
 (41,575) (203,478) 
 (236,743)
Cash beginning of year1,687
 71,955
 769,300
 
 842,942
Cash end of year$9,997
 $30,380
 $565,822
 $
 $606,199
PROCEDURES
(1)Included in net cash provided by (used for) operating activities in the Arch Capital (Parent Guarantor) and/or Arch-U.S. (Subsidiary Issuer) columns.


ARCH CAPITAL1712017 FORM 10-K


Table of Contents
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



 Year Ended December 31, 2016
Condensed Consolidating Statement
of Cash Flows
Arch Capital (Parent Guarantor) Arch-U.S. (Subsidiary Issuer) Other Arch Capital Subsidiaries Consolidating Adjustments and Eliminations Arch Capital Consolidated
Operating Activities         
Net Cash Provided By (Used For)
Operating Activities
$148,211
 $6,395
 $1,465,166
 $(223,128) $1,396,644
Investing Activities         
Purchases of fixed maturity investments
 
 (35,532,810) 
 (35,532,810)
Purchases of equity securities
 
 (665,702) 
 (665,702)
Purchases of other investments
 
 (1,389,406) 
 (1,389,406)
Proceeds from the sales of fixed maturity investments
 
 34,559,966
 
 34,559,966
Proceeds from the sales of equity securities
 
 751,728
 
 751,728
Proceeds from the sales, redemptions and maturities of other investments
 
 1,149,328
 
 1,149,328
Proceeds from redemptions and maturities of fixed maturity investments
 41,500
 713,507
 
 755,007
Net settlements of derivative instruments
 
 (17,068) 
 (17,068)
Net (purchases) sales of short-term investments(2,075) (40,963) (80,372) 
 (123,410)
Change in cash collateral related to securities lending
 
 (155,248) 
 (155,248)
Contributions to subsidiaries(479,912) (887,650) (546,269) 1,913,831
 
Issuance of intercompany loans
 
 (1,460,000) 1,460,000
 
Acquisitions, net of cash
 
 (1,992,720) 
 (1,992,720)
Purchases of fixed assets(8) 
 (15,295) 
 (15,303)
Other2,000
 
 (47,905) 
 (45,905)
Net Cash Provided By (Used For)
Investing Activities
(479,995) (887,113) (4,728,266) 3,373,831
 (2,721,543)
Financing Activities         
Proceeds from issuance of preferred shares, net434,899
 
 
 
 434,899
Redemption of preferred shares(2,445) 
 
 
 (2,445)
Purchases of common shares under share repurchase program(75,256) 
 
 
 (75,256)
Proceeds from common shares issued, net(2,418) 435,450
 1,478,381
 (1,913,831) (2,418)
Proceeds from intercompany borrowings
 500,000
 960,000
 (1,460,000) 
Proceeds from borrowings
 
 1,386,741
 
 1,386,741
Repayments of borrowings
 
 (219,171) 
 (219,171)
Change in cash collateral related to securities lending
 
 155,248
 
 155,248
Dividends paid to redeemable noncontrolling interests
 
 (19,264) 1,275
 (17,989)
Dividends paid to parent (1)
 
 (221,853) 221,853
 
Other(48) 200
 3,978
 
 4,130
Preferred dividends paid(28,070) 
 
 
 (28,070)
Net Cash Provided By (Used For)
Financing Activities
326,662
 935,650
 3,524,060
 (3,150,703) 1,635,669
Effects of exchange rates changes on foreign currency cash
 
 (21,154) 
 (21,154)
Increase (decrease) in cash(5,122) 54,932
 239,806
 
 289,616
Cash beginning of year6,809
 17,023
 529,494
 
 553,326
Cash end of year$1,687
 $71,955
 $769,300
 $
 $842,942
(1)Included in net cash provided by (used for) operating activities in the Arch Capital (Parent Guarantor) and/or Arch-U.S. (Subsidiary Issuer) columns.


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Table of Contents
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



 Year Ended December 31, 2015
Condensed Consolidating Statement
of Cash Flows
Arch Capital (Parent Guarantor) Arch-U.S. (Subsidiary Issuer) Other Arch Capital Subsidiaries Consolidating Adjustments and Eliminations Arch Capital Consolidated
Operating Activities         
Net Cash Provided By (Used For)
Operating Activities
$404,144
 $5,505
 $1,074,021
 $(485,764) $997,906
Investing Activities         
Purchases of fixed maturity investments
 (3,505) (29,448,368) 
 (29,451,873)
Purchases of equity securities(8,070) 
 (507,343) 
 (515,413)
Purchases of other investments
 
 (1,749,525) 
 (1,749,525)
Proceeds from the sales of fixed maturity investments
 24,507
 28,069,540
 
 28,094,047
Proceeds from the sales of equity securities
 
 564,011
 
 564,011
Proceeds from the sales, redemptions and maturities of other investments
 
 1,250,883
 
 1,250,883
Proceeds from redemptions and maturities of fixed maturity investments
 
 748,529
 
 748,529
Net settlements of derivative instruments
 
 (5,056) 
 (5,056)
Proceeds from investment in joint venture
 
 40,000
 
 40,000
Net (purchases) sales of short-term investments57
 (338) 169,376
 
 169,095
Change in cash collateral related to securities lending
 
 (6,662) 
 (6,662)
Contributions to subsidiaries(10,000) 
 (49,348) 59,348
 
Issuance of intercompany loans
 (39,500) (27,500) 67,000
 
Acquisitions, net of cash
 
 818
 
 818
Purchases of fixed assets(80) 
 (15,656) 
 (15,736)
Other
 
 (36,993) 
 (36,993)
Net Cash Provided By (Used For)
Investing Activities
(18,093) (18,836) (1,003,294) 126,348
 (913,875)
Financing Activities         
Purchases of common shares under share repurchase program(365,383) 
 
 
 (365,383)
Proceeds from common shares issued, net4,861
 
 59,348
 (59,348) 4,861
Proceeds from intercompany borrowings
 27,500
 39,500
 (67,000) 
Proceeds from borrowings
 
 431,362
 
 431,362
Change in cash collateral relating to securities lending
 
 6,662
 
 6,662
Dividends paid to redeemable noncontrolling
 
 (19,263) 956
 (18,307)
Dividends paid to parent (1)
 
 (484,808) 484,808
 
Other
 67
 (41,980) 
 (41,913)
Preferred dividends paid(21,938) 
 
 
 (21,938)
Net Cash Provided By (Used For)
Financing Activities
(382,460) 27,567
 (9,179) 359,416
 (4,656)
Effects of exchange rates changes on foreign currency cash
 
 (11,751) 
 (11,751)
Increase (decrease) in cash3,591
 14,236
 49,797
 
 67,624
Cash beginning of year3,218
 2,787
 479,697
 
 485,702
Cash end of year$6,809
 $17,023
 $529,494
 $
 $553,326
(1)Included in net cash provided by (used for) operating activities in the Arch Capital (Parent Guarantor) and/or Arch-U.S. (Subsidiary Issuer) columns.


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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



26.    Subsequent Event
On January 2, 2018, the Company redeemed all remaining outstanding Series C Preferred Shares at $25 per share ($92.6 million aggregate cost), plus all declared and unpaid dividends to (but excluding) the redemption date. In accordance with GAAP, following the redemption, original issuance costs related to such shares will be removed from additional paid-in capital and the Company will record a $2.7 million loss on redemption of preferred shares. Such adjustment will have no impact on total shareholders’ equity or cash flows.





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ITEM 9.
CHANGES IN AND DISAGREEMENTS WITH ACCOUNTANTS ON ACCOUNTING AND FINANCIAL DISCLOSURE
None.

ITEM 9A.
CONTROLS AND PROCEDURES
Evaluation of Disclosure Controls and Procedures
In connection with the filing of this Form 10-K, our management, including the Chief Executive Officer and Chief Financial Officer, conducted an evaluation, as of December 31, 2017,2020, for the purposes set forth in the applicable rules under the Securities and Exchange Act of 1934, as amended (the “Exchange Act”). Based on that evaluation, the Chief Executive Officer and Chief Financial Officer concluded that the disclosure controls and procedures are effective.
We continue to enhance our operating procedures and internal controls (including information technology initiatives and controls over financial reporting) to effectively support our business and our regulatory and reporting requirements. Our management does not expect that our disclosure controls or our internal controls will prevent all errors and all fraud. A control system, no matter how well conceived and operated, can provide only reasonable, not absolute, assurance that the objectives of the control system are met. Further, the design of a control system must reflect the fact that there are resource constraints, and the benefits of controls must be considered relative to their costs. As a result of the inherent limitations in all control systems, no evaluation of controls can provide absolute assurance that all control issues and instances of fraud, if any, within the company have been detected. These inherent limitations include the realities that judgments in decision making can be faulty, and that breakdowns can occur because of simple error or mistake. Additionally, controls can be circumvented by the individual acts of some persons or by collusion of two or more people.
The design of any system of controls also is based in part upon certain assumptions about the likelihood of future events, and there can be no assurance that any design will succeed in achieving its stated goals under all potential future conditions; over time, controls may become inadequate because of changes in conditions, or the degree of
compliance with the policies or procedures may deteriorate. As a result of the inherent limitations in a cost-effective control system, misstatement due to error or fraud may occur and not be detected. Accordingly, our disclosure controls and procedures are designed to provide reasonable, not absolute, assurance that the disclosure controls and procedures are met.
Management’s Annual Report on Internal Control Over Financial Reporting

Our management is responsible for establishing and maintaining adequate internal control over financial reporting, as defined in Rules 13a-15(f) and 15d-15(f) under the Exchange Act. Our management assessed the effectiveness of our internal control over financial reporting as of December 31, 2017.2020. In making this assessment, management used the criteria set forth by the Committee of Sponsoring Organizations (COSO) of the Treadway Commission in Internal Control-Integrated Framework (2013).
On December 31, 2016, we acquired all of the issued and outstanding capital stock of UGC. As allowed under SEC guidance, management’s assessment of and conclusion regarding the design and effectiveness of internal control over financial reporting excluded the internal control over financial reporting of UGC until the 2017 fourth quarter. The financial reporting systems of UGC have been fully integrated into our financial reporting systems and we have performed an assessment of UGC’s internal control over financial reporting for this current year-end.
Based on our assessment, management determined that, as of December 31, 2017,2020, our internal control over financial reporting was effective. The effectiveness of our internal control over financial reporting as of December 31, 20172020 has been audited by PricewaterhouseCoopers LLP, an independent registered public accounting firm, as stated in their report included in Item 8.
Changes in Internal Control Over Financial Reporting

There have been no changes in internal control over financial reporting that occurred in connection with our evaluation required pursuant to Rules 13a-15 and 15d-15 under the Exchange Act during the fiscal quarter ended December 31, 2017, other than the inclusion of UGC noted above,2020 that have materially affected, or are reasonably likely to materially affect, internal control over financial reporting.


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ITEM 9B. OTHER INFORMATION
ITEM 9B.
OTHER INFORMATION
None.
Disclosure of Certain Activities Under Section 13(r) of the Securities Exchange Act of 1934
Section 13(r) of the Securities Exchange Act of 1934, as amended, requires an issuer to disclose in its annual or quarterly reports whether it or an affiliate knowingly engaged in certain activities described in that section, including certain activities related to Iran during the period covered by the report.
Effective January 16, 2016, the Office of Foreign Assets Control of the U.S. Department of the Treasury adopted General License H which authorizes non-U.S. entities that are owned or controlled by a U.S. person to engage in certain activities with Iran so long as they comply with certain specific requirements set forth therein.
As and when allowed by the applicable law and regulations, certain of our non-U.S. subsidiaries provide global marine and
energy policies and global marine reinsurance which may have some exposure to Iran. The global marine policies and reinsurance provide coverage for vessels navigating into and out of ports worldwide. In light of European Union and U.S. modifications to Iran sanctions, including the issuance of General License H, and consistent with General License H, we have been notified by our intermediaries for this business that certain of our policyholders have begun to, or will begin to, ship cargo to and from Iran, and that such cargo may include transporting crude oil from Iran to another country. We are unable to attribute gross revenues or net profits from these policies to activities relating to Iran. To the extent permitted by applicable law, we currently intend for our non-U.S. subsidiaries to continue to provide such coverage.
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PART III

ITEM 10.
DIRECTORS, EXECUTIVE OFFICERS AND CORPORATE GOVERNANCE
ITEM 10. DIRECTORS, EXECUTIVE OFFICERS AND CORPORATE GOVERNANCE
The information required by this item is incorporated by reference from the information to be included in our definitive proxy statement (“Proxy Statement”) for our annual meeting of shareholders to be held in 2018,2021, which we intend to file with the SEC pursuant to Regulation 14A before May 1, 2018.no later than 120 days after the end of the Company’s fiscal year which ended on December 31, 2020. Copies of our code of ethics applicable to our chief executive officer, chief financial officer and principal accounting officer or controller are available free of charge to investors upon written request addressed to the attention of Arch Capital’s corporate secretary, Waterloo House, 100 Pitts Bay Road, Pembroke HM 08, Bermuda. In addition, our code of ethics and
certain other basic corporate documents, including the charters of our audit committee, compensation committee and nominating committee are posted on our website.
If any substantive amendments are made to the code of ethics or if there is a grant of a waiver, including any implicit waiver, we will disclose the nature of such amendment or waiver on our website or in a report on Form 8-K, to the extent required by applicable law or the rules and regulations of any exchange applicable to us. Our website address is intended to be an inactive, textual reference only and none of the material on our website is incorporated by reference into this report.

ITEM 11.
EXECUTIVE COMPENSATION
ITEM 11. EXECUTIVE COMPENSATION
The information required by this item is incorporated by reference from the information to be included in the Proxy Statement which we intend to file pursuant to Regulation 14A
with the SEC before May 1, 2018,no later than 120 days after the end of the Company’s fiscal year ended on December 31, 2020, which Proxy Statement is incorporated by reference.


ITEM 12.ARCH CAPITAL
SECURITY OWNERSHIP OF CERTAIN BENEFICIAL OWNERS AND MANAGEMENT AND RELATED STOCKHOLDER MATTERS
161
2020 FORM 10-K

Table of Contents
ITEM 12. SECURITY OWNERSHIP OF CERTAIN BENEFICIAL OWNERS AND MANAGEMENT AND RELATED STOCKHOLDER MATTERS
Other than the information set forth below, the information required by this item is incorporated by reference from the information to be included in the Proxy Statement which we intend to file pursuant to Regulation 14A with the SEC no later than 120 days after the end of the Company’s fiscal year ended on December 31, 2020, which Proxy Statement is incorporated by reference.
The following information is as of December 31, 2020:
Column AColumn BColumn C
Plan CategoryNumber of Securities to be Issued Upon Exercise of Outstanding Stock Options(1), Warrants and RightsWeighted-Average Exercise Price of Outstanding
Stock Options(1), Warrants and Rights ($)
Number of Securities Remaining Available for Future Issuance Under Equity Compensation Plans (Excluding Securities Reflected in Column A)
Equity compensation plans approved by security holders18,993,117  $23.32  20,610,537  
Equity compensation plans not approved by security holders—  —  —  
Total18,993,117  $23.32  20,610,537 (2)
________________________
(1)    Includes all vested and unvested stock options outstanding of 17,839,333 and restricted stock and performance units outstanding of 1,153,784. The weighted average exercise price does not take into account restricted stock units. In addition, the weighted average remaining contractual life of the Company's outstanding exercisable stock options and SARs at December 31, 2020 was 4.7 years.
(2)    Includes 2,267,676 common shares remaining available for future issuance under our Employee Share Purchase Plan and 18,342,861 common shares remaining available for future issuance under our equity compensation plans. Shares available for future issuance under our equity compensation plans may be issued in the form of stock options, SARs, restricted shares, restricted share units payable in common shares or cash, share awards in lieu of cash awards, dividend equivalents, performance shares and performance units and other share-based awards. In addition, 5,381,100 common shares, or 26.1% of the 20,610,537 common shares remaining available for future issuance may be issued in connection with full value awards (i.e., awards other than stock options or SARs).
ITEM 13. CERTAIN RELATIONSHIPS AND RELATED TRANSACTIONS, AND DIRECTOR INDEPENDENCE
The information required by this item is incorporated by reference from the information to be included in the Proxy Statement which we intend to file pursuant to Regulation 14A
with the SEC before May 1, 2018,no later than 120 days after the end of the Company’s fiscal year ended on December 31, 2020, which Proxy Statement is incorporated by reference.


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ITEM 14. PRINCIPAL ACCOUNTANT FEES AND SERVICES
ITEM 13.
CERTAIN RELATIONSHIPS AND RELATED TRANSACTIONS, AND DIRECTOR INDEPENDENCE
The information required by this item is incorporated by reference from the information to be included in the Proxy Statement which we intend to file pursuant to Regulation 14A
with the SEC before May 1, 2018, which Proxy Statement is incorporated by reference.

ITEM 14.
PRINCIPAL ACCOUNTANT FEES AND SERVICES
The information required by this item is incorporated by reference from the information to be included in our Proxy Statement which we intend to file pursuant to Regulation 14A
with the SEC before May 1, 2018,no later than 120 days after the end of the Company’s fiscal year ended on December 31, 2020, which Proxy Statement is incorporated by reference.



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PART IV
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PART IV

ITEM 15. EXHIBITS AND FINANCIAL STATEMENT SCHEDULES
ITEM 15.
EXHIBITS AND FINANCIAL STATEMENT SCHEDULES

(a) Financial Statements, Financial Statement Schedules and Exhibits.
1.Financial Statements
1.Financial Statements
Included in Part II – see Item 8 of this report.
2.Financial2.Financial Statement Schedules
Page No.
Page No.
As of December 31, 2020 and 2019, and for the years ended December 31, 2020, 2019 and 2018
For the years ended December 31, 2017, 20162020, 2019 and 20152018
For the years ended December 31, 2017, 20162020, 2019 and 20152018
For the years ended December 31, 2017, 20162020, 2019 and 20152018
Schedules other than those listed above are omitted for the reason that they are not applicable or the information is provided in Item 8 of this report.



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3.    Exhibits
    Incorporated by Reference  
Exhibit Number Exhibit Description Form Original Number Date Filed Filed Herewith
3.1  S-4 3.1 September 8, 2000  
3.2  10-Q 3 August 5, 2016  
3.3  10-K 3.3 February 28, 2011  
4.1.1  10-K 4.1.2 March 1, 2017  
4.1.2  8-K 4.1 September 29, 2016  
4.1.3  8-K 4.1 August 17, 2017  
4.2.1  10-K405 4.1 April 2, 2001  
4.2.2  8-K 4.2 September 29, 2016  
4.2.3  8-K 4.2 August 17, 2017  
4.3.1  8-K 99.2 May 7, 2004  
4.3.2  8-K 99.3 May 7, 2004  
4.3.3  8-K 4.1 December 13, 2013  
4.3.4  8-K 4.2 December 13, 2013  
4.4.1  8-K 4.3 September 29, 2016  
4.4.2  8-K 4.3 August 17, 2017  
4.5.1  8-K 4.4 September 29, 2016  
4.5.2  8-K 4.4 August 17, 2017  
4.6.1  8-K 4.1 December 9, 2016  
4.6.2  8-K 4.2 December 9, 2016  
4.7.1  10-K 4.7 March 1, 2017  
4.7.2  8-K 10.1 June 8, 2017  
10.1.1  10-Q 10.1 August 14, 2002  
10.1.2  10-Q 10.4 November 12, 2003  
10.1.3  10-K 10.6 March 2, 2009  
10.2.1  10-Q 10.7 August 5, 2016  
10.2.2  10-Q 10.1 May 5, 2017  
10.3.1  DEF 14A   April 3, 2007  
10.3.2  DEF 14A   March 27, 2012  
10.3.3  DEF 14A   March 26, 2015  
10.3.4  DEF 14A   March 23, 2016  
10.4.1 

 10-K 10.7.15 March 10, 2004  
10.4.2  10-K 10.10.9 March 2, 2009  
10.4.3  10-Q 10.1 November 9, 2009  
10.4.4  10-Q 10.3 November 10, 2008  
10.4.5  10-K 10.10.11 February 26, 2010  

Incorporated by Reference
Exhibit NumberExhibit DescriptionFormOriginal NumberDate FiledFiled Herewith
1.18-K1.1June 24, 2020
2.18-K2.1October 14, 2020
2.28-K2.1November 2, 2020
3.1S-43.1September 8, 2000
3.210-Q3August 5, 2016
3.310-K3.3February 28, 2011
4.1.18-K4.1September 29, 2016
4.1.28-K4.1August 17, 2017
4.2.110-K4054.1April 2, 2001
4.2.28-K4.2September 29, 2016
4.2.38-K4.2August 17, 2017
4.3.18-K4.1June 30, 2020
4.3.28-K99.3May 7, 2004
4.3.38-K4.2June 30, 2020
4.4.18-K4.1December 13, 2013
4.4.28-K4.2December 13, 2013
4.4.3

8-K4.1May 15, 2018
4.5.18-K4.3September 29, 2016
4.5.28-K4.3August 17, 2017
4.6.18-K4.4September 29, 2016
4.6.28-K4.4August 17, 2017
4.7.18-K4.1December 9, 2016
4.7.28-K4.2December 9, 2016
4.810-K4.7February 28, 2020
10.2.110-Q10.7August 5, 2016
10.2.210-Q10.1May 5, 2017
10.3.1DEF 14AApril 3, 2007
10.3.2DEF 14AMarch 27, 2012
10.3.3DEF 14AMarch 26, 2015
10.3.4DEF 14AMarch 28, 2018
10.3.5DEF 14AMarch 23, 2016
10.4.110-Q10.2August 7, 2015


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10.4.210-Q10.2August 5, 2016
10.4.310-Q10.3August 4, 2017
10.4.410-Q10.4August 4, 2017
10.4.510-K10.4.13February 28, 2018
10.4.610-Q10.3August 8, 2018
10.4.710-Q10.6August 8, 2018
10.510-Q10.5August 8, 2018
10.6.110-Q10.3August 7, 2015
10.6.210-Q10.3August 5, 2016
10.6.310-Q10.5August 4, 2017
10.6.410-K10.5.6February 28, 2018
10.6.510-K10.5.7February 28, 2018
10.6.610-Q10.4August 8, 2018
10.6.710-Q10.5May 9, 2018
10.7.110-Q10.1November 10, 2008
10.7.210-K10.12.4February 26, 2010
10.7.310-Q10.4November 8, 2010
10.7.410-Q10.7November 8, 2011
10.7.510-Q10.9November 8, 2011
10.7.610-Q10.12November 8, 2011
10.7.710-Q10.1November 3, 2017
10.7.810-Q10.2November 3, 2017
10.7.910-Q10.3November 9, 2012
10.7.1010-Q10.4November 3, 2017
10.7.1110-Q10.3August 9, 2013
10.7.1210-Q10.2November 8, 2013
10.7.1310-Q10.3August 8, 2014
10.7.1410-Q10.15November 3, 2017
10.4.6  10-Q 10.1 November 8, 2010  
10.4.7  10-Q 10.6 November 8, 2011  
10.4.8  10-Q 10.2 November 9, 2012  
10.4.9  10-Q 10.2 August 7, 2015  
10.4.10  10-Q 10.2 August 5, 2016  
10.4.11  10-Q 10.3 August 4, 2017  
10.4.12  10-Q 10.4 August 4, 2017  
10.4.13        X
10.5.1  10-Q 10.3 August 7, 2015  
10.5.2  10-Q 10.6 August 5, 2016  
10.5.3  10-Q 10.3 August 5, 2016  
10.5.4  10-Q 10.22 November 3, 2017  
10.5.5  10-Q 10.5 August 4, 2017  
10.5.6        X
10.5.7        X
10.6.1  10-Q 10.1 November 10, 2008  
10.6.2  10-K 10.12.4 February 26, 2010  
10.6.3  10-Q 10.4 November 9, 2012  
10.6.4  10-Q 10.4 November 8, 2010  
10.6.5  10-Q 10.7 November 8, 2011  
10.6.6  10-Q 10.9 November 8, 2011  
10.6.7  10-Q 10.10 November 8, 2011  
10.6.8  10-Q 10.12 November 8, 2011  
10.6.9  10-Q 10.1 November 3, 2017  
10.6.10  10-Q 10.5 November 9, 2012  
10.6.11  10-Q 10.3 November 3, 2017  



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10.7.1510-Q10.2May 8, 2015
10.8.18-K10.1October 28, 2008
10.8.210-Q10.1May 8, 2015
10.8.310-Q10.1May 9, 2018
10.910-Q10.2August 8, 2018
10.1010-KX
10.1110-Q10.26November 3, 2017
10.1210-Q10.27November 3, 2017
10.138-K/A10.1July 26, 2018
10.148-K/A10.1April 11, 2018
10.1510-K10.16February 28, 2019
10.1610-K10.16February 28, 2020
10.1710-K10.24March 2, 2009
10.188-K10.1December 18, 2019
10.198-K10.1October 14, 2020
21X
23X
24X
31.1X
31.2X
32.1X
32.2X
101The following financial information from ACGL’s Annual Report on Form 10-K for the year ended December 31, 2020 formatted in Inline XBRL: (i) Consolidated Balance Sheets at December 31, 2020 and 2019; (ii) Consolidated Statements of Income for the years ended December 31, 2020, 2019 and 2018; (iii) Consolidated Statements of Comprehensive Income for the years ended December 31, 2020, 2019 and 2018; (iv) Consolidated Statements of Changes in Shareholders’ Equity for the years ended December 31, 2020, 2019 and 2018; (v) Consolidated Statements of Cash Flows for the years ended December 31, 2020, 2019 and 2018; and (vi) Notes to Consolidated Financial StatementsX
104Cove Page Interactive Data File (embedded within the Inline XBRL document)
10.6.12  10-Q 10.2 November 3, 2017  
10.6.13  10-Q 10.3 November 9, 2012  
10.6.14  10-Q 10.4 November 3, 2017  
10.6.15  10-Q 10.6 August 9, 2013  
10.6.16  10-Q 10.9 November 3, 2017  
10.6.17  10-Q 10.3 August 9, 2013  
10.6.18  10-Q 10.11 November 3, 2017  
10.6.19  10-Q 10.2 November 8, 2013  
10.6.20  10-Q 10.12 November 3, 2017  
10.6.21  10-Q 10.6 August 8, 2014  
10.6.22  10-Q 10.5 August 8, 2014  
10.6.23  10-Q 10.14 November 3, 2017  
10.6.24  10-Q 10.3 August 8, 2014  
10.6.25  10-Q 10.15 November 3, 2017  
10.6.26  10-Q 10.2 May 8, 2015  
10.6.27  10-Q 10.5 August 5, 2016  
10.7.1  8-K 10.7 September 8, 2000  
10.7.2  10-K 10.13 March 2, 2009  
10.8.1  8-K 10.14 January 4, 2002  
10.8.2  10-K 10.15.16 March 13, 2006  
10.8.3  10-K 10.14 March 2, 2009  
10.9.1  8-K 10.1 October 28, 2008  
10.9.2  10-Q 10.1 May 8, 2015  
10.10.1  8-K 10.1 June 9, 2005  
10.10.2  10-Q 10.2 August 8, 2008  
10.11.1  8-K 10.1 October 6, 2014  
10.11.2  8-K 10.1 September 22, 2017  
10.12  8-K 10.1 July 30, 2012  
10.13  10-Q 10.25 November 3, 2017  
10.14  10-Q 10.26 November 3, 2017  


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10.15  10-Q 10.27 November 3, 2017  
10.16  10-Q 10.28 November 3, 2017  
10.17  10-K405 10.8.5 April 2, 2001  
10.18  10-K 10.24 March 2, 2009  
10.19.1  8-K 2.1 August 16, 2016  
10.19.2  10-Q 10.1 August 4, 2017  
10.19.3  10-Q 10.2 August 4, 2017  
10.20  8-K 1.01 June 12, 2017  
10.21  8-K 1.01 August 16, 2017  
10.22  8-K 1.1 December 1, 2017  
10.23  8-K 10.1 October 26, 2016  
12        X
21        X
23        X
24        X
25  8-K 25.3 December 12, 2013  
31.1        X
31.2        X
32.1        X
32.2        X
101 The following financial information from ACGL’s Annual Report on Form 10-K for the year ended December 31, 2017 formatted in XBRL: (i) Consolidated Balance Sheets at December 31, 2017 and 2016; (ii) Consolidated Statements of Income for the years ended December 31, 2017, 2016 and 2015; (iii) Consolidated Statements of Comprehensive Income for the years ended December 31, 2017, 2016 and 2015; (iv) Consolidated Statements of Changes in Shareholders’ Equity for the years ended December 31, 2017, 2016 and 2015; (v) Consolidated Statements of Cash Flows for the years ended December 31, 2017, 2016 and 2015; and (vi) Notes to Consolidated Financial Statements       X
Management contract or compensatory plan or arrangement.




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Contents


SIGNATURES
Pursuant to the requirements of Section 13 or 15(d) of the Securities Exchange Act of 1934, the Registrant has duly caused this report to be signed on its behalf by the undersigned, thereunto duly authorized.
ARCH CAPITAL GROUP LTD.
(Registrant)
By:/s/ Constantine IordanouMarc Grandisson
Name:Constantine IordanouMarc Grandisson
Title:
Chairman of the Board of Directors and
Chief Executive Officer (Principal Executive Officer)

February 28, 201826, 2021
Pursuant to the requirements of the Securities Exchange Act of 1934, this report has been signed below by the following persons on behalf of the Registrant and in the capacities and on the dates indicated.
NameTitleDate
Name/s/ Marc GrandissonTitleDate
Marc Grandisson
/s/ Constantine Iordanou
Constantine IordanouChairman of the Board of Directors and Chief Executive Officer (Principal Executive Officer)
February 28, 2018
/s/ Mark D. Lyons
Mark D. LyonsExecutive Vice President, Chief Financial Officer and Treasurer (Principal Financial and Principal Accounting Officer)February 28, 2018
*
John L. Bunce. Jr.DirectorFebruary 28, 2018
*
Eric W. DoppstadtDirectorFebruary 28, 2018
*
Yiorgos LillikasDirectorFebruary 28, 2018


26, 2021
ARCH CAPITAL/s/ François Morin1832017 FORM 10-K


Table of Contents

François MorinExecutive Vice President and Chief Financial Officer (Principal Financial Officer and Principal Accounting Officer) and TreasurerFebruary 26, 2021
NameTitleDate
*
Louis J. PagliaDirectorFebruary 28, 2018
*
John M. PasquesiDirectorFebruary 28, 2018
*
Brian S. PosnerDirectorFebruary 28, 2018
*
Eugene S. SunshineDirectorFebruary 28, 2018
*
John D. VollaroDirectorFebruary 28, 2018
___________________
*John M. PasquesiBy Mark D. Lyons, as attorney-in-fact and agent, pursuant to a powerChairman of attorney, a copy of which has been filed with the Securities and Exchange Commission as Exhibit 24 to this report.
Board
/s/ Mark D. Lyons
Name:
Mark D. Lyons
Attorney-in-Fact



February 26, 2021
ARCH CAPITAL*1842017 FORM 10-K
John L. Bunce, Jr.DirectorFebruary 26, 2021
*
Eric W. DoppstadtDirectorFebruary 26, 2021
*
Laurie S. GoodmanDirectorFebruary 26, 2021


ARCH CAPITAL1672020 FORM 10-K



NameTitleDate
*
Moira KilcoyneDirectorFebruary 26, 2021
*
Louis J. PagliaDirectorFebruary 26, 2021
*
Brian S. PosnerDirectorFebruary 26, 2021
*
Eugene S. SunshineDirectorFebruary 26, 2021
*
John D. VollaroDirectorFebruary 26, 2021
*
Thomas R. WatjenDirectorFebruary 26, 2021

___________________
*    By François Morin, as attorney-in-fact and agent, pursuant to a power of attorney, a copy of which has been filed with the Securities and Exchange Commission as Exhibit 24 to this report.
/s/ François Morin
Name:
François Morin
Attorney-in-Fact

ARCH CAPITAL1682020 FORM 10-K




SCHEDULE II


ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONDENSED FINANCIAL INFORMATION OF REGISTRANT
(U.S. dollars in thousands)

Balance Sheet
(Parent Company Only)


December 31,
20202019
Assets
Total investments$172 $42 
Cash18,932 18,113 
Investments in subsidiaries14,377,529 11,786,861 
Due from subsidiaries and affiliates17 
Other assets18,390 20,461 
Total assets$14,415,023 $11,825,494 
Liabilities
Senior notes$1,285,867 $297,254 
Due to subsidiaries and affiliates
Other liabilities23,270 30,869 
Total liabilities1,309,137 328,123 
Shareholders' Equity
Non-cumulative preferred shares780,000 780,000 
Common shares ($0.0011 par, shares issued: 579,000,841 and 574,617,195)643 638 
Additional paid-in capital1,977,794 1,889,683 
Retained earnings12,362,463 11,021,006 
Accumulated other comprehensive income (loss), net of deferred income tax488,895 212,091 
Common shares held in treasury, at cost (shares: 172,280,199 and 168,997,994)(2,503,909)(2,406,047)
Total shareholders' equity$13,105,886 $11,497,371 
Total liabilities and shareholders' equity$14,415,023 $11,825,494 


The financial information for the parent company (Arch Capital Group Ltd.) should be read in conjunction with the Consolidated Financial Statements and Notes thereto.







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SCHEDULE II
(continued)

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONDENSED FINANCIAL INFORMATION OF REGISTRANT
(U.S. dollars in thousands)

Statement of Income
(Parent Company Only)



Year Ended
December 31,
202020192018
Revenues
Net investment income$53 $212 $49 
Net realized gains (losses)(2,110)29 
Other income (loss)(437)(762)1,918 
Total revenues(2,494)(550)1,996 
Expenses
Corporate expenses65,566 62,701 64,279 
Interest expense40,445 22,154 22,147 
Net foreign exchange (gains) losses30 
Total expenses106,014 84,856 86,456 
Income (loss) before income taxes(108,508)(85,406)(84,460)
Income tax (expense) benefit
Income (loss) before equity in net income of subsidiaries(108,508)(85,406)(84,460)
Equity in net income of subsidiaries1,514,029 1,721,725 842,431 
Net income available to Arch1,405,521 1,636,319 757,971 
Preferred dividends(41,612)(41,612)(41,645)
Loss on redemption of preferred shares(2,710)
Net income available to Arch common shareholders$1,363,909 $1,594,707 $713,616 


The financial information for the parent company (Arch Capital Group Ltd.) should be read in conjunction with the Consolidated Financial Statements and Notes thereto.


ARCH CAPITAL1702020 FORM 10-K





SCHEDULE II
(continued)


ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONDENSED FINANCIAL INFORMATION OF REGISTRANT
(U.S. dollars in thousands)

Statement of Cash Flows
(Parent Company Only)



Year Ended
December 31,
202020192018
Operating Activities:
Net Cash Provided By Operating Activities$124,751 $52,487 $324,319 
Investing Activities:
Net (purchases) sales of short-term investments(130)61 96,476 
Capital contributed to subsidiaries(988,975)(2,121)
Purchase of fixed assets(15)(162)(110)
Other(4)
Net Cash Used For Investing Activities(989,120)(2,222)96,362 
Financing Activities:
Purchases of common shares under share repurchase program(83,472)(2,871)(282,762)
Proceeds from common shares issued, net1,876 6,203 (7,608)
Redemption of preferred shares(92,555)
Proceeds from borrowings988,393 
Preferred dividends paid(41,612)(41,612)(41,645)
Net Cash Used For Financing Activities865,185 (38,280)(424,570)
Increase (decrease) in cash and restricted cash816 11,985 (3,889)
Cash and restricted cash, beginning of year18,144 6,159 10,048 
Cash and restricted cash, end of period$18,960 $18,144 $6,159 


The financial information for the parent company (Arch Capital Group Ltd.) should be read in conjunction with the Consolidated Financial Statements and Notes thereto.

ARCH CAPITAL1712020 FORM 10-K

SCHEDULE III


ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
SUPPLEMENTARY INSURANCE INFORMATION
(U.S. dollars in thousands)
Deferred Acquisition CostsReserves for Losses and Loss Adjustment ExpensesUnearned PremiumsNet Premiums EarnedNet Investment Income (1)Net Losses and Loss Adjustment Expenses IncurredAmortization of Deferred Acquisition CostsOther Operating Expenses (2)Net Premiums Written
December 31, 2020
Insurance$254,833 $8,989,930 $2,334,225 $2,871,420 NM$2,092,453 $418,483 $489,153 $3,162,907 
Reinsurance278,422 5,027,742 1,356,983 2,162,229 NM1,628,320 354,048 168,011 2,457,370 
Mortgage203,748 976,673 740,043 1,397,935 NM528,344 134,240 162,202 1,279,850 
Other53,705 1,519,583 407,714 560,351 NM440,482 98,071 55,810 537,589 
Total$790,708 $16,513,928 $4,838,965 $6,991,935 NM$4,689,599 $1,004,842 $875,176 $7,437,716 
December 31, 2019
Insurance$188,684 $7,900,328 $1,991,496 $2,397,080 NM$1,615,475 $361,614 $454,770 $2,641,726 
Reinsurance197,856 4,270,013 971,776 1,466,389 NM1,011,329 239,032 141,484 1,602,723 
Mortgage182,816 457,872 937,370 1,366,340 NM53,513 134,319 153,092 1,261,756 
Other64,044 1,263,629 438,907 556,689 NM453,135 105,980 51,651 532,862 
Total$633,400 $13,891,842 $4,339,549 $5,786,498 NM$3,133,452 $840,945 $800,997 $6,039,067 
December 31, 2018
Insurance$152,360 $7,093,018 $1,549,183 $2,205,661 NM$1,520,680 $349,702 $364,138 $2,212,125 
Reinsurance166,276 3,215,909 710,774 1,261,216 NM846,882 211,280 133,350 1,372,572 
Mortgage170,080 511,610 1,103,565 1,186,236 NM81,289 118,595 142,432 1,157,875 
Other80,858 1,032,760 390,114 578,862 NM441,255 125,558 37,889 604,175 
Total$569,574 $11,853,297 $3,753,636 $5,231,975 NM$2,890,106 $805,135 $677,809 $5,346,747 
 Deferred Acquisition CostsReserves for Losses and Loss Adjustment ExpensesUnearned PremiumsNet Premiums EarnedNet Investment Income (1)Net Losses and Loss Adjustment Expenses IncurredAmortization of Deferred Acquisition CostsOther Operating Expenses (2)Net Premiums Written
December 31, 2017         
Insurance
$159,224

$6,952,676

$1,451,390

$2,113,018
NM
$1,622,444

$323,639

$359,524

$2,122,440
Reinsurance150,582
3,053,694
633,810
1,142,621
NM773,923
221,250
146,663
1,174,474
Mortgage140,057
579,160
1,206,470
1,057,166
NM134,677
100,598
146,336
1,111,342
Other85,961
798,262
330,644
531,727
NM436,402
129,971
31,928
553,117
Total
$535,824

$11,383,792

$3,622,314

$4,844,532
NM
$2,967,446

$775,458

$684,451

$4,961,373
December 31, 2016         
Insurance
$152,983

$6,502,745

$1,403,822

$2,073,904
NM
$1,359,313

$304,050

$353,782

$2,072,281
Reinsurance121,806
2,506,239
532,759
1,056,232
NM475,762
212,258
143,408
1,053,856
Mortgage86,392
681,167
1,176,809
286,716
NM28,943
21,790
101,293
391,466
Other86,379
510,809
293,480
467,970
NM321,581
129,527
25,163
513,788
Total
$447,560

$10,200,960

$3,406,870

$3,884,822
NM
$2,185,599

$667,625

$623,646

$4,031,391
December 31, 2015         
Insurance
$131,081

$6,217,777

$1,364,000

$2,044,808
NM
$1,292,647

$296,040

$354,416

$2,045,671
Reinsurance123,226
2,506,441
531,385
1,077,135
NM440,350
222,470
155,811
1,038,408
Mortgage53,079
110,035
188,567
214,110
NM40,247
30,817
78,142
267,493
Other75,443
290,997
249,980
397,852
NM277,659
113,451
14,919
465,959
Total
$382,829

$9,125,250

$2,333,932

$3,733,905
NM
$2,050,903

$662,778

$603,288

$3,817,531
(1)    The Company does not manage its assets by segment and, accordingly, net investment income is not allocated to each underwriting segment. See note 4, “Segment Information,” to our consolidated financial statements in Item 8 for information related to the ‘other’ segment.
(2)    Certain other operating expenses relate to the Company’s corporate segment (non-underwriting). Such amounts are not reflected in the table above. See note 4, “Segment Information,” to our consolidated financial statements in Item 8 for information related to the corporate segment.




(1)
The Company does not manage its assets by segment and, accordingly, net investment income is not allocated to each underwriting segment. See note 5, “Segment Information,” to our consolidated financial statements in Item 8 for information related to the ‘other’ segment.
(2)
Certain other operating expenses relate to the Company’s corporate segment (non-underwriting). Such amounts are not reflected in the table above. note 5, “Segment Information,” to our consolidated financial statements in Item 8 for information related to the corporate segment.





ARCH CAPITAL18517220172020 FORM 10-K


SCHEDULE IV
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
REINSURANCE
(U.S. dollars in thousands)
Gross AmountCeded to Other Companies (1)Assumed From Other Companies (1)Net
Amount
Percentage of Amount Assumed to Net
Year Ended December 31, 2020
Premiums Written:
Insurance$4,659,416 $(1,525,655)$29,146 $3,162,907 0.9 %
Reinsurance305,435 (1,014,716)3,166,651 2,457,370 128.9 %
Mortgage1,192,316 (194,149)281,683 1,279,850 22.0 %
Other396,743 (190,957)331,803 537,589 61.7 %
Total$6,553,910 $(2,650,352)$3,534,158 $7,437,716 47.5 %
Year Ended December 31, 2019
Premiums Written:
Insurance$3,879,752 $(1,266,267)$28,241 $2,641,726 1.1 %
Reinsurance238,229 (720,500)2,084,994 1,602,723 130.1 %
Mortgage1,224,373 (204,509)241,892 1,261,756 19.2 %
Other339,169 (222,019)415,712 532,862 78.0 %
Total$5,681,523 $(2,099,893)$2,457,437 $6,039,067 40.7 %
Year Ended December 31, 2018
Premiums Written:
Insurance$3,232,234 $(1,050,207)$30,098 $2,212,125 1.4 %
Reinsurance213,809 (539,950)1,698,713 1,372,572 123.8 %
Mortgage1,139,099 (202,833)221,609 1,157,875 19.1 %
Other253,760 (130,840)481,255 604,175 79.7 %
Total$4,838,902 $(1,614,257)$2,122,102 $5,346,747 39.7 %
 Gross Amount Ceded to Other Companies (1) Assumed From Other Companies (1) Net
Amount
 Percentage of Amount Assumed to Net
Year Ended December 31, 2017         
Premiums Written:         
Insurance$3,050,876
 $(958,646) $30,210
 $2,122,440
 1.4%
Reinsurance152,404
 (465,925) 1,487,995
 1,174,474
 126.7%
Mortgage1,110,319
 (256,796) 257,819
 1,111,342
 23.2%
Other133,858
 (47,187) 466,446
 553,117
 84.3%
       Total$4,447,457
 $(1,407,052) $1,920,968
 $4,961,373
 38.7%
Year Ended December 31, 2016         
Premiums Written:         
Insurance$2,999,106
 $(954,768) $27,943
 $2,072,281
 1.3%
Reinsurance62,427
 (440,541) 1,431,970
 1,053,856
 135.9%
Mortgage209,351
 (108,259) 290,374
 391,466
 74.2%
Other66,806
 (21,306) 468,288
 513,788
 91.1%
       Total$3,337,690
 $(1,170,743) $1,864,444
 $4,031,391
 46.2%
Year Ended December 31, 2015         
Premiums Written:         
Insurance$2,908,906
 $(898,347) $35,112
 $2,045,671
 1.7%
Reinsurance28,510
 (380,614) 1,390,512
 1,038,408
 133.9%
Mortgage137,338
 (28,064) 158,219
 267,493
 59.1%
Other12,165
 (22,940) 476,734
 465,959
 102.3%
       Total$3,086,919
 $(979,632) $1,710,244
 $3,817,531
 44.8%
(1)    Certain amounts included in the gross premiums written of each segment are related to intersegment transactions and are included in the gross premiums written of each segment. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.


(1)Certain amounts included in the gross premiums written of each segment are related to intersegment transactions and are included in the gross premiums written of each segment. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.



ARCH CAPITAL18617320172020 FORM 10-K


SCHEDULE VI
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
SUPPLEMENTARY INFORMATION FOR PROPERTY AND CASUALTY INSURANCE UNDERWRITERS
(U.S. dollars in thousands)
Column AColumn BColumn CColumn DColumn EColumn FColumn GColumn HColumn IColumn JColumn K
Affiliation with RegistrantDeferred Acquisition CostsReserves for Losses and Loss Adjustment ExpensesDiscount, if any, deducted in Column CUnearned PremiumsNet
Premiums Earned
Net Investment IncomeNet Losses and Loss Adjustment Expenses Incurred Related toAmortization
of Deferred Acquisition Costs
Net Paid Losses and Loss Adjustment ExpensesNet
Premiums Written
(a) Current Year(b)
Prior Years
Consolidated Subsidiaries
2020$790,708 $16,513,929 $23,326 $4,838,965 $6,991,935 $519,608 $4,851,051 $(161,452)$1,004,842 $2,661,117 $7,437,716 
2019633,400 13,891,842 22,012 4,339,549 5,786,498 627,738 3,297,037 (163,585)840,945 2,383,255 6,039,067 
2018569,574 11,853,297 21,145 3,753,636 5,231,975 563,633 3,162,818 (272,712)805,135 2,206,164 5,346,747 
Column AColumn BColumn CColumn DColumn EColumn FColumn GColumn HColumn IColumn JColumn K
Affiliation with RegistrantDeferred Acquisition CostsReserves for Losses and Loss Adjustment ExpensesDiscount, if any, deducted in Column CUnearned PremiumsNet
Premiums Earned
Net Investment IncomeNet Losses and Loss Adjustment Expenses Incurred Related toAmortization
of Deferred Acquisition Costs
Net Paid Losses and Loss Adjustment ExpensesNet
Premiums Written
(a) Current Year
(b)
Prior Years
Consolidated Subsidiaries           
2017$535,824
$11,383,792
$20,016
$3,622,314
$4,844,532
$470,872
$3,205,428
$(237,982)$775,458
$2,352,912
$4,961,373
2016447,560
10,200,960
18,246
3,406,870
3,884,822
366,742
2,455,563
(269,964)667,625
1,813,356
4,031,391
2015382,829
9,125,250
17,161
2,333,932
3,733,905
348,090
2,336,026
(285,123)662,778
1,869,244
3,817,531





ARCH CAPITAL1872017 FORM 10-K

ITEM 16.     FORM 10-K SUMMARY
Not applicable.


ARCH CAPITAL1742020 FORM 10-K