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UNITED STATES
SECURITIES AND EXCHANGE COMMISSION
WASHINGTON, D.C.  20549
 
FORM 10-Q
xQUARTERLY REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934
  
For the quarterly period ended March 31, 20182019
 
Or
  
oTRANSITION REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934

Commission file number:  001-16209

 archlogorgbsolida36.jpg
ARCH CAPITAL GROUP LTD.
(Exact name of registrant as specified in its charter)

BermudaNot applicable
(State or other jurisdiction of incorporation or organization)(I.R.S. Employer Identification No.)
  
Waterloo House, Ground Floor 
100 Pitts Bay Road, Pembroke HM 08, Bermuda(441) 278-9250
(Address of principal executive offices)(Registrant’s telephone number, including area code)

Indicate by check mark whether the registrant (1) has filed all reports required to be filed by Section 13 or 15(d) of the Securities Exchange Act of 1934 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 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,” “smaller reporting company,” and “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 o Emerging growth company o
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 is a shell company (as defined in Rule 12b-2 of the Exchange Act). Yes o   No þ
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, $0.0011 par value per shareACGLNASDAQ Stock Market
Depositary shares, each representing a 1/100th interest in a 5.25% Series E preferred share
ACGLPNASDAQ Stock Market
Depositary shares, each representing a 1/100th interest in a 5.45% Series F preferred share
ACGLONASDAQ Stock Market

As of May 4, 2018,1, 2019, there were 135,775,651403,803,412 common shares, $0.0033$0.0011 par value per share, of the registrant outstanding.



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ARCH CAPITAL GROUP LTD.
 
INDEX TO FORM 10-Q
 
   Page No.
 PART I  
  
 2
Item 1. 
 4
Item 2. 
Item 3. 
Item 4. 
    
 PART II  
  
Item 1. 
Item 1A. 
Item 2. 
Item 5. 
Item 6. 
  

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PART I.  FINANCIAL INFORMATION
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 (the “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;
the integration of United Guaranty Corporation and any other businesses 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) 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;
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 March 31, 2018;2019;
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;
severity and/or frequency of losses;
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 the Company’s 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;
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;

ARCH CAPITAL 220182019 FIRST QUARTER FORM 10-Q

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our investment performance, including legislative or regulatory developments that may adversely affect the fair value of our investments;
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;
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 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 our Annual Report on Form 10-K for the year ended December 31, 2017,2018, as well as the other factors set forth in our 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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ITEM 1. CONSOLIDATED FINANCIAL STATEMENTS
  Page No.
   
 
   
  
March 31, 20182019 (unaudited) and December 31, 20172018 
   
  
For the three month periods ended March 31, 20182019 and 20172018 (unaudited) 
   
  
For the three month periods ended March 31, 20182019 and 20172018 (unaudited) 
   
  
For the three month periods ended March 31, 20182019 and 20172018 (unaudited) 
   
  
For the three month periods ended March 31, 20182019 and 20172018 (unaudited) 
   
Notes to Consolidated Financial Statements (unaudited)  
 
11 
 
 
 
 
 
 
 
 
 
 
 
 
 


ARCH CAPITAL 420182019 FIRST QUARTER FORM 10-Q

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Report of Independent Registered Public Accounting Firm
 
To the Board of Directors and Shareholders of Arch Capital Group Ltd.:

Results of Review of Financial Statements

We have reviewed the accompanying consolidated balance sheet of Arch Capital Group Ltd. and its subsidiaries (the “Company”) as of March 31, 2018, and2019, the related consolidated statements of income, comprehensive income, changes in shareholders’ equity and cash flows for the three-month periods ended March 31, 20182019 and March 31, 20172018, including the related notes (collectively referred to as the “interim financial statements”). Based on our reviews, we are not aware of any material modifications that should be made to the accompanying interim financial statements for them to be in conformity with accounting principles generally accepted in the United States of America.
 
We have previously audited, in accordance with the standards of the Public Company Accounting Oversight Board (United States), the consolidated balance sheet of the Company as of December 31, 2017,2018, and the related consolidated statements of income, comprehensive income, changes in shareholders’ equity, and cash flows for the year then ended (not presented herein), and in our report dated February 28, 2018,2019, we expressed an unqualified opinion on those consolidated financial statements. In our opinion, the information set forth in the accompanying consolidated balance sheet as of December 31, 2017,2018, is fairly stated, in all material respects, in relation to the consolidated balance sheet from which it has been derived.

Basis for Review Results

These interim financial statements are the responsibility of the Company’s management. We are a public accounting firm registered with the Public Company Accounting Oversight Board (United States) (“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 review in accordance with the standards of the PCAOB. A review of interim financial information consists principally of applying analytical procedures and making inquiries of persons responsible for financial and accounting matters. It is substantially less in scope than an audit conducted in accordance with the standards of the PCAOB, the objective of which is the expression of an opinion regarding the financial statements taken as a whole. Accordingly, we do not express such an opinion.


/s/ PricewaterhouseCoopers LLP

PricewaterhouseCoopers LLP
New York, NY
May 9, 20187, 2019

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED BALANCE SHEETS
(U.S. dollars in thousands, except share data)
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED BALANCE SHEETS
(U.S. dollars in thousands, except share data)
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED BALANCE SHEETS
(U.S. dollars in thousands, except share data)
(Unaudited)  (Unaudited)  
March 31,
2018
 December 31,
2017
March 31,
2019
 December 31,
2018
Assets 
  
 
  
Investments: 
  
 
  
Fixed maturities available for sale, at fair value (amortized cost: $14,469,013 and $13,869,460)$14,348,941
 $13,876,003
Short-term investments available for sale, at fair value (amortized cost: $966,722 and $1,468,955)967,389
 1,469,042
Collateral received under securities lending, at fair value (amortized cost: $367,034 and $476,605)367,043
 476,615
Fixed maturities available for sale, at fair value (amortized cost: $15,063,594 and $14,829,902)$15,177,312
 $14,699,010
Short-term investments available for sale, at fair value (amortized cost: $705,954 and $956,238)706,214
 955,880
Collateral received under securities lending, at fair value (amortized cost: $415,048 and $274,125)415,056
 274,133
Equity securities, at fair value543,650
 495,804
495,895
 338,899
Other investments available for sale, at fair value (cost: $0 and $198,163)
 264,989
Investments accounted for using the fair value option4,119,139
 4,216,237
3,969,623
 3,983,571
Investments accounted for using the equity method1,394,548
 1,041,322
1,563,779
 1,493,791
Total investments21,740,710
 21,840,012
22,327,879
 21,745,284
      
Cash680,891
 606,199
633,100
 646,556
Accrued investment income106,114
 113,133
112,935
 114,641
Securities pledged under securities lending, at fair value (amortized cost: $356,518 and $463,181)358,152
 464,917
Securities pledged under securities lending, at fair value (amortized cost: $400,948 and $266,786)404,262
 268,395
Premiums receivable1,375,080
 1,135,249
1,584,682
 1,299,150
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses2,510,119
 2,540,143
3,099,823
 2,919,372
Contractholder receivables2,002,469
 1,978,414
2,087,720
 2,079,111
Ceded unearned premiums996,772
 926,611
1,099,581
 975,469
Deferred acquisition costs596,264
 535,824
597,526
 569,574
Receivable for securities sold217,224
 205,536
334,982
 36,246
Goodwill and intangible assets626,004
 652,611
659,215
 634,920
Other assets922,156
 1,053,009
1,035,332
 929,611
Total assets$32,131,955
 $32,051,658
$33,977,037
 $32,218,329
      
Liabilities      
Reserve for losses and loss adjustment expenses$11,496,205
 $11,383,792
$12,010,041
 $11,853,297
Unearned premiums3,885,297
 3,622,314
4,036,119
 3,753,636
Reinsurance balances payable379,728
 323,496
453,058
 393,107
Contractholder payables2,002,469
 1,978,414
2,087,720
 2,079,111
Collateral held for insured obligations253,709
 240,183
232,411
 236,630
Senior notes1,733,043
 1,732,884
1,733,694
 1,733,528
Revolving credit agreement borrowings755,294
 816,132
488,612
 455,682
Securities lending payable367,034
 476,605
415,048
 274,125
Payable for securities purchased282,731
 449,186
376,332
 90,034
Other liabilities765,948
 782,717
984,942
 911,500
Total liabilities21,921,458
 21,805,723
22,817,977
 21,780,650
      
Commitments and Contingencies

 



 

Redeemable noncontrolling interests206,013
 205,922
206,383
 206,292
      
Shareholders' Equity      
Non-cumulative preferred shares780,000
 872,555
780,000
 780,000
Convertible non-voting common equivalent preferred shares
 489,627
Common shares ($0.0033 par, shares issued: 189,070,234 and 183,290,742)630
 611
Common shares ($0.0011 par, shares issued: 572,238,363 and 570,737,283)636
 634
Additional paid-in capital1,737,978
 1,230,617
1,819,605
 1,793,781
Retained earnings8,849,959
 8,562,889
9,864,424
 9,426,299
Accumulated other comprehensive income (loss), net of deferred income tax(134,009) 118,044
38,323
 (178,720)
Common shares held in treasury, at cost (shares: 52,387,812 and 52,312,803)(2,084,186) (2,077,741)
Common shares held in treasury, at cost (shares: 168,499,599 and 168,282,449)(2,388,392) (2,382,167)
Total shareholders' equity available to Arch9,150,372
 9,196,602
10,114,596
 9,439,827
Non-redeemable noncontrolling interests854,112
 843,411
838,081
 791,560
Total shareholders' equity10,004,484
 10,040,013
10,952,677
 10,231,387
Total liabilities, noncontrolling interests and shareholders' equity$32,131,955
 $32,051,658
$33,977,037
 $32,218,329

See Notes to Consolidated Financial Statements

ARCH CAPITAL620182019 FIRST QUARTER FORM 10-Q

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF INCOME
(U.S. dollars in thousands, except share data)
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF INCOME
(U.S. dollars in thousands, except share data)
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF INCOME
(U.S. dollars in thousands, except share data)
(Unaudited)(Unaudited)
Three Months EndedThree Months Ended
March 31,March 31,
2018 20172019 2018
Revenues 
  
 
  
Net premiums written$1,412,544
 $1,276,260
$1,525,259
 $1,412,544
Change in unearned premiums(177,645) (159,243)(156,393) (177,645)
Net premiums earned1,234,899
 1,117,017
1,368,866
 1,234,899
Net investment income126,724
 117,874
156,949
 126,724
Net realized gains (losses)(110,998) 34,153
141,565
 (110,998)
   
Other-than-temporary impairment losses(162) (1,807)(1,309) (162)
Less investment impairments recognized in other comprehensive income, before taxes
 

 
Net impairment losses recognized in earnings(162) (1,807)(1,309) (162)
      
Other underwriting income5,349
 4,633
8,825
 5,349
Equity in net income (loss) of investment funds accounted for using the equity method28,069
 48,088
Other income (loss)74
 (782)
Equity in net income of investment funds accounted for using the equity method46,867
 28,069
Other income1,083
 74
Total revenues1,283,955
 1,319,176
1,722,846
 1,283,955
      
Expenses      
Losses and loss adjustment expenses636,860
 552,570
718,532
 636,860
Acquisition expenses191,376
 182,289
197,848
 191,376
Other operating expenses175,015
 174,719
201,163
 175,015
Corporate expenses15,312
 27,792
17,962
 15,312
Amortization of intangible assets26,736
 31,294
20,417
 26,736
Interest expense30,636
 28,676
29,065
 30,636
Net foreign exchange losses (gains)19,721
 19,404
Net foreign exchange (gains) losses(3,525) 19,721
Total expenses1,095,656
 1,016,744
1,181,462
 1,095,656
      
Income before income taxes188,299
 302,432
541,384
 188,299
Income tax expense(21,915) (28,397)(45,886) (21,915)
Net income$166,384
 $274,035
$495,498
 $166,384
Net (income) loss attributable to noncontrolling interests(15,961) (20,908)(46,970) (15,961)
Net income available to Arch150,423
 253,127
448,528
 150,423
Preferred dividends(10,437) (11,218)(10,403) (10,437)
Loss on redemption of preferred shares(2,710) 

 (2,710)
Net income available to Arch common shareholders$137,276
 $241,909
$438,125
 $137,276
      
Net income per common share and common share equivalent 
  
 
  
Basic$1.01
 $1.80
$1.09
 $0.34
Diluted$0.99
 $1.74
$1.07
 $0.33
      
Weighted average common shares and common share equivalents outstanding      
Basic135,846,576
 134,034,927
400,184,404
 407,539,728
Diluted139,297,934
 139,047,672
408,971,029
 417,893,802




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)
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF COMPREHENSIVE INCOME
(U.S. dollars in thousands)
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF COMPREHENSIVE INCOME
(U.S. dollars in thousands)
(Unaudited)(Unaudited)
Three Months EndedThree Months Ended
March 31,March 31,
2018 20172019 2018
Comprehensive Income      
Net income$166,384
 $274,035
$495,498
 $166,384
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 period(166,677) 100,792
225,887
 (166,677)
Reclassification of net realized (gains) losses, net of income taxes, included in net income62,461
 (5,044)
Reclassification of net realized (gains) losses, net of income taxes, included in net income (loss)(10,221) 62,461
Foreign currency translation adjustments1,282
 3,124
5,516
 1,282
Comprehensive income63,450
 372,907
716,680
 63,450
Net (income) loss attributable to noncontrolling interests(15,961) (20,908)(46,970) (15,961)
Foreign currency translation adjustments attributable to noncontrolling interests673
 (8)
Other comprehensive (income) loss attributable to noncontrolling interests(4,139) 673
Comprehensive income available to Arch$48,162
 $351,991
$665,571
 $48,162




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)
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF CHANGES IN SHAREHOLDERS’ EQUITY
(U.S. dollars in thousands)
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF CHANGES IN SHAREHOLDERS’ EQUITY
(U.S. dollars in thousands)
(Unaudited)(Unaudited)
Three Months EndedThree Months Ended
March 31,March 31,
2018 20172019 2018
Non-cumulative preferred shares 
  
   
Balance at beginning of year$872,555
 $772,555
Balance at beginning of period$780,000
 $872,555
Preferred shares redeemed(92,555) 

 (92,555)
Balance at end of period780,000
 772,555
780,000
 780,000
      
Convertible non-voting common equivalent preferred shares      
Balance at beginning of year489,627
 1,101,304
Balance at beginning of period
 489,627
Preferred shares converted to common shares(489,627) 

 (489,627)
Balance at end of period
 1,101,304

 
      
Common shares      
Balance at beginning of year611
 582
Balance at beginning of period634
 611
Common shares issued, net19
 1
2
 19
Balance at end of period630
 583
636
 630
      
Additional paid-in capital 
  
   
Balance at beginning of year1,230,617
 531,687
Balance at beginning of period1,793,781
 1,230,617
Preferred shares converted to common shares489,608
 

 489,608
Reversal of issue costs on preferred shares redeemed2,710
 
All other15,043
 16,366
Other changes25,824

17,753
Balance at end of period1,737,978
 548,053
1,819,605
 1,737,978
      
Retained earnings 
  
   
Balance at beginning of year8,562,889
 7,996,701
Cumulative effect of an accounting change (see Note 2)149,794
 (314)
Balance at beginning of year, as adjusted8,712,683
 7,996,387
Balance at beginning of period9,426,299
 8,562,889
Cumulative effect of an accounting change
 149,794
Balance at beginning of period, as adjusted9,426,299
 8,712,683
Net income166,384
 274,035
495,498
 166,384
Net (income) loss attributable to noncontrolling interests(15,961) (20,908)(46,970) (15,961)
Preferred share dividends(10,437) (11,218)(10,403) (10,437)
Loss on redemption of preferred shares(2,710) 

 (2,710)
Balance at end of period8,849,959
 8,238,296
9,864,424
 8,849,959
      
Accumulated other comprehensive income (loss), net of deferred income tax      
Balance at beginning of year118,044
 (114,541)
Balance at beginning of period(178,720) 118,044
Unrealized appreciation (decline) in value of available-for-sale investments, net of deferred income tax:      
Balance at beginning of year157,400
 (27,641)
Cumulative effect of an accounting change (see Note 2)(149,794) 
Balance at beginning of year, as adjusted7,606
 (27,641)
Unrealized holding gains (losses) arising during period, net of reclassification adjustment(104,216) 95,748
Unrealized holding gains (losses) arising during period attributable to noncontrolling interests372
 
Balance at beginning of period(114,178) 157,400
Cumulative effect of an accounting change
 (149,794)
Balance at beginning of period, as adjusted(114,178) 7,606
Unrealized holding gains (losses) during period, net of reclassification adjustment215,666
 (104,216)
Unrealized holding gains (losses) during period attributable to noncontrolling interests(4,286) 372
Balance at end of period(96,238) 68,107
97,202
 (96,238)
Foreign currency translation adjustments, net of deferred income tax:      
Balance at beginning of year(39,356) (86,900)
Balance at beginning of period(64,542) (39,356)
Foreign currency translation adjustments1,282
 3,124
5,516
 1,282
Foreign currency translation adjustments attributable to noncontrolling interests303
 (8)147
 303
Balance at end of period(37,771) (83,784)(58,879) (37,771)
Balance at end of period(134,009) (15,677)38,323
 (134,009)
      
Common shares held in treasury, at cost      
Balance at beginning of year(2,077,741) (2,034,570)
Balance at beginning of period(2,382,167) (2,077,741)
Shares repurchased for treasury(6,445) (4,700)(6,225) (6,445)
Balance at end of period(2,084,186) (2,039,270)(2,388,392) (2,084,186)
      
Total shareholders’ equity available to Arch9,150,372
 8,605,844
10,114,596
 9,150,372
Non-redeemable noncontrolling interests854,112
 868,186
838,081
 854,112
Total shareholders’ equity$10,004,484
 $9,474,030
$10,952,677
 $10,004,484


See Notes to Consolidated Financial Statements

ARCH CAPITAL920182019 FIRST QUARTER FORM 10-Q

Table of Contents

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF CASH FLOWS
(U.S. dollars in thousands)
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF CASH FLOWS
(U.S. dollars in thousands)
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF CASH FLOWS
(U.S. dollars in thousands)
(Unaudited)(Unaudited)
Three Months EndedThree Months Ended
March 31,March 31,
2018 20172019 2018
Operating Activities 
  
 
  
Net income$166,384
 $274,035
$495,498
 $166,384
Adjustments to reconcile net income to net cash provided by operating activities:      
Net realized (gains) losses101,995
 (40,855)(145,400) 101,995
Net impairment losses recognized in earnings162
 1,807
1,309
 162
Equity in net income or loss of investment funds accounted for using the equity method and other income or loss(19,383) (36,141)(29,752) (19,383)
Amortization of intangible assets26,736
 31,294
20,417
 26,736
Share-based compensation14,664
 15,657
25,891
 14,664
Changes in:      
Reserve for losses and loss adjustment expenses, net of unpaid losses and loss adjustment expenses recoverable86,319
 53,027
(6,005) 86,319
Unearned premiums, net of ceded unearned premiums177,645
 159,243
156,393
 177,645
Premiums receivable(233,772) (176,350)(285,137) (233,772)
Deferred acquisition costs(30,347) (41,728)(23,168) (30,347)
Reinsurance balances payable53,634
 20,114
62,605
 53,634
Other items, net56,143
 (76,445)(37,253) 56,143
Net cash provided by operating activities400,180
 183,658
235,398
 400,180
Investing Activities 
  
 
  
Purchases of fixed maturity investments(9,681,267) (10,476,918)(7,444,470) (9,681,267)
Purchases of equity securities(377,000) (143,833)(203,810) (377,000)
Purchases of other investments(522,454) (427,039)(324,593) (522,454)
Proceeds from sales of fixed maturity investments8,679,147
 10,386,746
7,076,590
 8,679,147
Proceeds from sales of equity securities291,311
 253,347
95,017
 291,311
Proceeds from sales, redemptions and maturities of other investments436,566
 317,518
216,483
 436,566
Proceeds from redemptions and maturities of fixed maturity investments287,031
 174,718
100,424
 287,031
Net settlements of derivative instruments36,070
 (3,921)29,737
 36,070
Net (purchases) sales of short-term investments595,318
 (397,851)
Net sales of short-term investments292,601
 595,318
Change in cash collateral related to securities lending161,567
 180,946
(29,618) 161,567
Purchases of fixed assets(4,240) (5,194)(9,423) (4,240)
Other40,037
 23,068
(93,731) 40,037
Net cash provided by (used for) investing activities(57,914) (118,413)
Net cash used for investing activities(294,793) (57,914)
Financing Activities 
  
 
  
Redemption of preferred shares(92,555) 

 (92,555)
Purchases of common shares under share repurchase program(3,299) 
(2,871) (3,299)
Proceeds from common shares issued, net(2,779) (3,990)(1,901) (2,779)
Proceeds from borrowings39,585
 
59,000
 39,585
Repayments of borrowings(101,000) (22,000)(26,038) (101,000)
Change in cash collateral related to securities lending(161,567) (180,946)29,618
 (161,567)
Dividends paid to redeemable noncontrolling interests(4,497) (4,497)(4,497) (4,497)
Other(2,356) (5,018)(1,389) (2,356)
Preferred dividends paid(10,437) (11,218)(10,403) (10,437)
Net cash provided by (used for) financing activities(338,905) (227,669)41,519
 (338,905)
      
Effects of exchange rate changes on foreign currency cash and restricted cash1,611
 2,618
3,449
 1,611
      
Increase (decrease) in cash and restricted cash4,972
 (159,806)(14,427) 4,972
Cash and restricted cash, beginning of year727,284
 969,569
724,643
 727,284
Cash and restricted cash, end of period$732,256
 $809,763
$710,216
 $732,256
   
Reconciliation of cash and restricted cash within the Consolidated Balance Sheets:March 31,
2018
 December 31,
2017
Cash$680,891
 $606,199
Restricted cash (included in ‘other assets’)$51,365
 $121,085
Cash and restricted cash$732,256
 $727,284


See Notes to Consolidated Financial Statements

ARCH CAPITAL1020182019 FIRST QUARTER FORM 10-Q

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

 
1.    GeneralBasis of Presentation and Recent Accounting Pronouncements

Basis of Presentation
Arch Capital Group Ltd. (“Arch Capital”) is a Bermuda public limited liability 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. The Company’s consolidated financial statements include the results of Watford Holdings Ltd. and its wholly owned subsidiaries. See Note 3.note 11.
On January 1, 2019, the Company’s U.K. insurance operations entered into a transaction with The Ardonagh Group to acquire renewal rights for a U.K. commercial lines book of business, consisting of commercial property, casualty, motor, professional liability, personal accident and travel business.
The interim consolidated financial statements have been prepared in conformity with accounting principles generally accepted in the United States of America (“GAAP”). 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. In the opinion of management, the accompanying unaudited interim consolidated financial statements reflect all adjustments (consisting of normally recurring accruals) necessary for a fair statement of results on an interim basis. The results of any interim period are not necessarily indicative of the results for a full year or any future periods.
Certain information and footnote disclosures normally included in financial statements prepared in accordance with GAAP have been condensed or omitted; however, management believes that the disclosures are adequate to make the information presented not misleading. This report should be read in conjunction with the Company’s Annual Report on Form 10-K for the year ended December 31, 20172018 (“20172018 Form 10-K”), including the Company’s audited consolidated financial statements and related notes.
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, comprehensive income, shareholders’ equity or cash flows. Tabular amounts are in U.S. Dollars in thousands, except share amounts, unless otherwise noted.
2.    
Recent Accounting Pronouncements

Recently Issued Accounting Standards Adopted
The Company adopted ASU 2016-01, “Financial Instruments - Overall (Subtopic 825-10) - Recognition and Measurement of Financial Assets and Financial Liabilities,2016-02, “Leases (Topic 842), which enhances the
reportingprovides a new comprehensive model for financial instrumentslease accounting. Topic 842 requires a lessee to recognize a liability to make lease payments (the lease liability) and provides improved financial informationa right-of-use asset representing its right to readersuse the underlying asset for the lease term. The Company adopted the modified retrospective approach 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 andthis standard, that resulted in the recognition of changesa right-of-use asset of  $147.9 million as part of other assets and a lease liability of $163.6 million as part of other liabilities in fair valuethe consolidated balance sheet as of financial liabilities attributable to an entity's own credit risk whenJanuary 1, 2019. The Company de-recognizing the fair value option is elected. The ASU requires equity instrumentsliability for deferred rent that do not result in consolidation and are not accounted forwas required under the equityprevious guidance.
In addition, the Company adopted ASU 2018-11, “Leases: Targeted Improvements (Topic 842),” which provides an additional (optional) transition method to adopt the new lease standard. The Company adopted the alternative transition method and elected to utilize a cumulative-effect adjustment to the opening balance of the retained earnings for the year of adoption. As such, the Company’s reporting for the comparative periods prior to the adoption continue to be measured at fair valuepresented in the financial statements in accordance with any changes in fair value recognized in net income rather than other comprehensive income. Upon adoption of this ASU,previous lease accounting guidance. The Company also adopted the practical expedients as a package which allows the Company recordedto not reassess (1) whether any expired or existing contracts are or contain leases (2) the lease classification for any expired or existing leases (3) initial direct costs for any existing leases and (4) to account for the lease and non lease components as a single lease component. In addition to electing the practical expedients as a package, the Company elected to include hindsight to determine the lease term of existing leases, and made an accounting policy election to not apply the recognition requirements to short-term leases (lease term of less than twelve months). The cumulative effect adjustment to the opening balance of $149.8 million in retained earnings and an offsetting decrease in accumulated other comprehensive income.was zero. The adoption of this ASUthe updated guidance did not have a material impact on the Company's financial position, cash flows, or total comprehensive income, but may increase volatility in the Company's results of operations in future periods.
The Company adopted Financial Accounting Standards Board (“FASB”) Accounting Standard Update (“ASU”) 2014-09, “Revenue from Contracts with Customers (Topic 606),” which creates a new comprehensive revenue recognition standard that serves as a single source of revenue guidance 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 Company adopted the ASU using the modified retrospective method, whereby the cumulative effect of adoption was recognized as an adjustment to retained earnings at the date of initial application. The impact of the adoption of this ASU was not material, mostly because the accounting for insurance contracts is outside of the scope of ASU 2014-09.
The Company adopted ASU 2016-18, “Statement of Cash Flows (Topic 230) - Restricted Cash,” which 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 equivalents will no longer be presented on the statement of cash flows. The revised presentation required in this ASU is reflected in the Company’s consolidated statements of cash flows for both periods presented. The adoption of this ASU did not have any effect on the Company’s results of operations or liquidity.
The Company adopted ASU 2018-07 “Improvements to Nonemployee Share-Based Payment Accounting,” which was issued in June 2018 to simplify the accounting for share-based payments granted to nonemployees for goods and services. Under this ASU, most of the guidance on such payments to nonemployees would be aligned with the requirements for share-based payments granted to employees. The ASU is effective for reporting periods beginning after December 15, 2018. This guidance and the adoption of this provision did not have a material effect on the Company's financial position, results of operations or comprehensive income.cash flows.
Recently Issued Accounting Standards Not Yet Adopted
For information regarding accounting standards that the Company has not yet adopted, see note 3(q), “SignificantASU 2018-02 “Income Statement-Reporting Comprehensive Income (Topic 220) - Reclassification of Certain Tax Effects

ARCH CAPITAL 1120182019 FIRST QUARTER FORM 10-Q

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

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 effective 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. The adoption of this ASU did not have a material effect on the Company’s results of operations, financial position or liquidity.

Recently Issued Accounting Standards Not Yet Adopted
For information regarding additional accounting standards that the Company has not yet adopted, see note 3(q), “Significant Accounting Policies—Recent Accounting Pronouncements,” of the notes to consolidated financial statements in the Company’s 20172018 Form 10-K.
2.    Share Transactions

Share-Based Compensation
Annual long-term incentive awards have historically been made in the second quarter of each year. However, beginning in 2019, the awards were made in the first quarter.

3.Variable Interest Entities and Noncontrolling Interests

A variable interest entityDuring the 2019 first quarter, the Company granted 1,182,264 stock options, 672,768 performance share awards (“VIE”PSAs”) refersand units (“PSUs”) and 1,099,125 restricted shares and units to an entity that has characteristics such as (i) insufficient equitycertain employees. The stock options were valued at risk to allow the entity to finance its activities without additional financial support or (ii) instances wheregrant date using the equity investors, as a group, do not have characteristics of a controlling financial interest.Black-Scholes option pricing model. 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 performanceweighted average grant-date fair value of the VIEstock options, PSAs/PSUs and (ii)restricted shares and units granted during the obligation to absorb losses or right to receive benefits from2019 first quarter were approximately $7.90, $35.83 and $32.64 per share, respectively. Such values are being amortized over the VIE that could potentially be significant torespective substantive vesting period.

During 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 2014,2018 second quarter, the Company invested $100.0 millionmade a stock grant of 2,199,656 stock options, 705,345 PSAs/PSUs and acquired approximately 11% of Watford Holdings Ltd.’s common equity and a warrant to purchase additional common equity. Watford Holdings Ltd. is the parent of Watford Re Ltd., a multi-line Bermuda reinsurance company (together with Watford Holdings Ltd., “Watford Re”). Watford Re is considered a VIE and the Company concluded that it is the primary beneficiary of Watford Re. As such, the results of Watford Re are included in the Company’s consolidated financial statements.
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 preferred1,264,931 restricted shares and counterparty credit risk (mitigated by collateral) arising from reinsurance transactions.units to certain employees and directors. The stock options were valued at the grant date using the Black-Scholes option pricing model. The weighted average grant-date fair value of the stock options, PSAs/PSUs and
 
restricted shares and units granted during the 2018 second quarter were approximately $7.43, $24.65 and $26.56 per share, respectively. Such values are being amortized over the respective substantive vesting period.
Share Repurchases
The following table providesboard of directors of Arch Capital has authorized the carrying amount and balance sheet captioninvestment in whichArch Capital’s common shares through a share repurchase program. Since the assets and liabilitiesinception of Watford Re are reported:
 March 31, December 31,
 2018 2017
Assets   
Investments accounted for using the fair value option$2,331,393
 $2,426,066
Fixed maturities available for sale, at fair value203,176
 
Cash54,053
 54,503
Accrued investment income16,831
 18,261
Premiums receivable242,116
 177,492
Reinsurance recoverable on unpaid and paid losses and LAE47,289
 42,777
Ceded unearned premiums45,111
 24,762
Deferred acquisition costs92,699
 85,961
Receivable for securities sold47,568
 36,374
Goodwill and intangible assets7,650
 7,650
Other assets63,143
 140,808
Total assets of consolidated VIE$3,151,029
 $3,014,654
    
Liabilities   
Reserves for losses and loss adjustment expenses$852,828
 $798,262
Unearned premiums395,605
 330,644
Reinsurance balances payable26,340
 18,424
Revolving credit agreement borrowings380,294
 441,132
Payable for securities purchased79,786
 42,501
Other liabilities235,554
 215,186
Total liabilities of consolidated VIE$1,970,407
 $1,846,149
    
Redeemable noncontrolling interests$220,713
 $220,622
the share repurchase program, Arch Capital has repurchased 386.3 million common shares for an aggregate purchase price of $3.97 billion. For the three months ended March 31, 2018, Watford Re generated $30.22019, Arch Capital repurchased 0.1 million shares under the share repurchase program with an aggregate purchase price of cash provided by operating activities, $35.4$2.9 million. Arch Capital repurchased 0.1 million shares under the share repurchase program with an aggregate purchase price of cash used for investing activities and $66.2$3.3 million of cash used for financing activities, compared to $62.2 million of cash provided by operating activities, $58.8 million of cash used for investing activities and $29.0 million of cash used for financing activities forduring the three months ended March 31, 2017.2018. At March 31, 2019, $160.9 million of share repurchases were available under the program, which may be effected from time to time in open market or privately negotiated transactions through December 31, 2019. 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.
Non-redeemable noncontrolling interestsConversion of Convertible Non-Voting Common Equivalent Preferred Shares
In March 2018, Arch Capital completed an underwritten public secondary offering of 17.0 million common shares (split adjusted) by American International Group, Inc. (“AIG”) following transfer of 0.6 million Series D convertible non-voting common equivalent preferred shares (“Series D Preferred Shares”). Proceeds from the sale of common shares pursuant to the public offering were received by AIG. At March 31, 2019, no Series D Preferred Shares were outstanding.
Series C Preferred Shares
On January 2, 2018, Arch Capital redeemed all outstanding 6.75% Series C non-cumulative preferred shares. The Company accounts forpreferred shares were redeemed at a redemption price equal to $25 per share, plus all declared and unpaid dividends to (but excluding) the portionredemption date. In accordance with GAAP, following the redemption, original issuance costs related to such shares were removed from additional paid-in capital and recorded as a “loss on redemption of Watford Re’s common equity attributable to third party investors in thepreferred shares.” Such adjustment had no impact on total shareholders’ equity section of its consolidated balance sheets. The noncontrolling ownership in Watford Re’s common shares was approximately 89% at March 31, 2018. 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.’cash flows.

ARCH CAPITAL 122018 FIRST QUARTER FORM 10-Q

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

The following table sets forth activity in the non-redeemable noncontrolling interests:
 March 31,
 2018 2017
Three Months Ended   
Balance, beginning of period$843,411
 $851,854
Amounts attributable to noncontrolling interests11,376
 16,324
Foreign currency translation adjustments(675) 8
Balance, end of period$854,112
 $868,186
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 relate to the 9,065,200 cumulative redeemable preference shares (“Watford Preference Shares”) issued in March 2014 with a par value of $0.01 per share and a liquidation preference of $25.00 per share. 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.
The following table sets forth activity in the redeemable non-controlling interests:
 March 31,
 2018 2017
Three Months Ended   
Balance, beginning of period$205,922
 $205,553
Accretion of preference share issuance costs91
 91
Balance, end of period$206,013
 $205,644
The portion of Watford Re’s income or loss attributable to third party investors, recorded in the Company’s consolidated statements of income in ‘net (income) loss attributable to noncontrolling interests,’ are summarized in the table below:
 March 31,
 2018 2017
Three Months Ended   
Amounts attributable to non-redeemable noncontrolling interests$(11,376) $(16,324)
Dividends attributable to redeemable noncontrolling interests(4,585) (4,584)
Net (income) loss attributable to noncontrolling interests$(15,961) $(20,908)
Bellemeade Re
The Company has entered into various aggregate excess of loss reinsurance agreements with Bellemeade Re I Ltd. (July 2015), with Bellemeade Re II Ltd. (May 2016) and with Bellemeade 2017-1 Ltd. (October 2017) (the “Bellemeade Agreements”),
special purpose reinsurance companies domiciled in Bermuda. 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 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 as of March 31, 2018 and December 31, 2017:
   Maximum Exposure to Loss
 Total VIE Assets On-Balance Sheet Off-Balance Sheet Total
March 31, 2018       
Bellemeade Re I Ltd.$79,372
 $360
 $610
 $970
Bellemeade Re II Ltd.100,871
 72
 278
 350
Bellemeade 2017-1 Ltd.336,343
 519
 1,979
 2,498
Total$516,586
 $951
 $2,867
 $3,818
December 31, 2017       
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
See note 16, “Subsequent Events.”

ARCH CAPITAL 1320182019 FIRST QUARTER FORM 10-Q

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

4.3.    Earnings Per Common Share

The following table sets forth the computation of basic and diluted earnings per common share:
Three Months EndedThree Months Ended
March 31,March 31,
2018 20172019 2018
Numerator:      
Net income$166,384
 $274,035
$495,498
 $166,384
Amounts attributable to noncontrolling interests(15,961) (20,908)(46,970) (15,961)
Net income available to Arch150,423
 253,127
448,528
 150,423
Preferred dividends(10,437) (11,218)(10,403) (10,437)
Loss on redemption of preferred shares(2,710) 

 (2,710)
Net income available to Arch common shareholders$137,276
 $241,909
$438,125
 $137,276
      
Denominator:      
Weighted average common shares outstanding131,370,263
 121,272,107
400,184,404
 394,110,789
Series D preferred shares (1)4,476,313
 12,762,820

 13,428,939
Weighted average common shares and common share equivalents outstanding — basic135,846,576
 134,034,927
400,184,404
 407,539,728
Effect of dilutive common share equivalents:      
Nonvested restricted shares719,859
 1,646,555
1,807,488
 2,159,577
Stock options (2)2,731,499
 3,366,190
6,979,137
 8,194,497
Weighted average common shares and common share equivalents outstanding — diluted139,297,934
 139,047,672
408,971,029
 417,893,802
      
Earnings per common share:      
Basic$1.01
 $1.80
$1.09
 $0.34
Diluted$0.99
 $1.74
$1.07
 $0.33
(1)
Such shares are convertible non-voting common equivalent preferred shares issued in connection with the UGC acquisition. See Note 11.note 2.
(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 the 20182019 first quarter and 20172018 first quarter, the number of stock options excluded were 1,056,2625,577,724 and 263,475,3,168,786, respectively.

ARCH CAPITAL 141320182019 FIRST QUARTER FORM 10-Q

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

5.4.    Segment Information

The Company classifies its businesses into three underwriting segments — insurance, reinsurance and mortgage — and two 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 President and Chief Executive Officer of Arch Capital, and the Chief Financial 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; excess and surplus casualty; lenders products; professional lines; programs; property, energy, marine and aviation; travel, accident and health; and other (consisting of alternative markets, excess workers' compensation and surety business).
The reinsurance segment consists of the Company’s reinsurance underwriting units which offer specialty product lines on a worldwide basis. Product lines include: casualty; marine and aviation; other specialty; property catastrophe; property excluding property catastrophe (losses on a single risk, both excess of loss and pro rata); and other (consisting of life reinsurance, casualty clash and other).
The mortgage segment includes the Company’s U.S. and international mortgage insurance and reinsurance operations as well as government sponsored enterprise (“GSE”) credit-risk sharing transactions. Arch Mortgage Insurance Company and United Guaranty Residential Insurance Company (combined “Arch MI U.S.”) are approved as eligible mortgage insurers by Federal National Mortgage Association (“Fannie Mae”) and Federal Home Loan Mortgage Corporation (“Freddie Mac”), each a GSE.
The corporate (non-underwriting) segment results include net investment income, other income (loss), corporate expenses, UGC transaction costs and other, interest expense, items related to the Company’s non-cumulative preferred shares, 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 and income taxes. Such amounts exclude the results of the ‘other’ segment.
The ‘other’ segment includes the results 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”) (see Note 3)note 11). 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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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

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:
Three Months EndedThree Months Ended
March 31, 2018March 31, 2019
Insurance Reinsurance Mortgage Sub-Total Other TotalInsurance Reinsurance Mortgage Sub-Total Other Total
                      
Gross premiums written (1)$823,378
 $577,483
 $321,178
 $1,721,605
 $213,870
 $1,838,214
$941,954
 $682,855
 $356,050
 $1,980,453
 $186,689
 $2,077,879
Premiums ceded(247,180) (195,730) (46,137) (488,613) (34,318) (425,670)(320,622) (231,567) (48,798) (600,581) (41,302) (552,620)
Net premiums written576,198
 381,753
 275,041
 1,232,992
 179,552
 1,412,544
621,332
 451,288
 307,252
 1,379,872
 145,387
 1,525,259
Change in unearned premiums(37,461) (102,581) 5,201
 (134,841) (42,804) (177,645)(67,827) (104,923) 15,650
 (157,100) 707
 (156,393)
Net premiums earned538,737
 279,172
 280,242
 1,098,151
 136,748
 1,234,899
553,505
 346,365
 322,902
 1,222,772
 146,094
 1,368,866
Other underwriting income (loss)
 1,232
 3,416
 4,648
 701
 5,349

 4,377
 3,856
 8,233
 592
 8,825
Losses and loss adjustment expenses(353,730) (141,675) (43,466) (538,871) (97,989) (636,860)(356,723) (239,810) (11,149) (607,682) (110,850) (718,532)
Acquisition expenses(85,169) (48,319) (26,567) (160,055) (31,321) (191,376)(82,824) (54,326) (31,672) (168,822) (29,026) (197,848)
Other operating expenses(91,974) (35,571) (38,771) (166,316) (8,699) (175,015)(113,396) (35,704) (39,875) (188,975) (12,188) (201,163)
Underwriting income (loss)$7,864
 $54,839
 $174,854
 237,557
 (560) 236,997
$562
 $20,902
 $244,062
 265,526
 (5,378) 260,148
                      
Net investment income      100,243
 26,481
 126,724
      121,249
 35,700
 156,949
Net realized gains (losses)      (111,859) 861
 (110,998)      112,433
 29,132
 141,565
Net impairment losses recognized in earnings      (162) 
 (162)      (1,309) 
 (1,309)
Equity in net income (loss) of investment funds accounted for using the equity method      28,069
 
 28,069
      46,867
 
 46,867
Other income (loss)      74
 
 74
      1,083
 
 1,083
Corporate expenses (2)      (14,482) 
 (14,482)      (16,772) 
 (16,772)
UGC transaction costs and other (2)      (830) 
 (830)
Transaction costs and other (2)      (1,190) 
 (1,190)
Amortization of intangible assets      (26,736) 
 (26,736)      (20,417) 
 (20,417)
Interest expense      (25,907) (4,729) (30,636)      (23,482) (5,583) (29,065)
Net foreign exchange gains (losses)      (15,039) (4,682) (19,721)      5,175
 (1,650) 3,525
Income before income taxes      170,928
 17,371
 188,299
      489,163
 52,221
 541,384
Income tax expense      (21,912) (3) (21,915)      (45,886) 
 (45,886)
Net income      149,016
 17,368
 166,384
      443,277
 52,221
 495,498
Dividends attributable to redeemable noncontrolling interests      
 (4,585) (4,585)      
 (4,588) (4,588)
Amounts attributable to nonredeemable noncontrolling interests      
 (11,376) (11,376)      
 (42,382) (42,382)
Net income available to Arch      149,016
 1,407
 150,423
      443,277
 5,251
 448,528
Preferred dividends      (10,437) 
 (10,437)      (10,403) 
 (10,403)
Loss on redemption of preferred shares      (2,710) 
 (2,710)
Net income available to Arch common shareholders      $135,869
 $1,407
 $137,276
      $432,874
 $5,251
 $438,125
                      
Underwriting Ratios 
  
  
    
  
 
  
  
    
  
Loss ratio65.7% 50.7% 15.5% 49.1% 71.7% 51.6%64.4% 69.2% 3.5% 49.7% 75.9% 52.5%
Acquisition expense ratio15.8% 17.3% 9.5% 14.6% 22.9% 15.5%15.0% 15.7% 9.8% 13.8% 19.9% 14.5%
Other operating expense ratio17.1% 12.7% 13.8% 15.1% 6.4% 14.2%20.5% 10.3% 12.3% 15.5% 8.3% 14.7%
Combined ratio98.6% 80.7% 38.8% 78.8% 101.0% 81.3%99.9% 95.2% 25.6% 79.0% 104.1% 81.7%
                      
Goodwill and intangible assets$21,664
 $
 $596,690
 $618,354
 $7,650
 $626,004
$156,735
 $
 $494,830
 $651,565
 $7,650
 $659,215
(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‘transaction costs and other.’ See ‘Comments on Regulation G’ for a further discussion of the presentation of such items.


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

Three Months EndedThree Months Ended
March 31, 2017March 31, 2018
Insurance Reinsurance Mortgage Sub-Total Other TotalInsurance Reinsurance Mortgage Sub-Total Other Total
                      
Gross premiums written (1)$782,281
 $475,782
 $348,623
 $1,606,686
 $154,120
 $1,657,990
$823,378
 $577,483
 $321,178
 $1,721,605
 $213,870
 $1,838,214
Premiums ceded(234,095) (166,092) (73,925) (474,112) (10,434) (381,730)(247,180) (195,730) (46,137) (488,613) (34,318) (425,670)
Net premiums written548,186
 309,690
 274,698
 1,132,574
 143,686
 1,276,260
576,198
 381,753
 275,041
 1,232,992
 179,552
 1,412,544
Change in unearned premiums(42,540) (64,839) (30,175) (137,554) (21,689) (159,243)(37,461) (102,581) 5,201
 (134,841) (42,804) (177,645)
Net premiums earned505,646
 244,851
 244,523
 995,020
 121,997
 1,117,017
538,737
 279,172
 280,242
 1,098,151
 136,748
 1,234,899
Other underwriting income (loss)
 (306) 4,123
 3,817
 816
 4,633

 1,232
 3,416
 4,648
 701
 5,349
Losses and loss adjustment expenses(332,641) (105,454) (29,065) (467,160) (85,410) (552,570)(353,730) (141,675) (43,466) (538,871) (97,989) (636,860)
Acquisition expenses(74,868) (46,147) (28,766) (149,781) (32,508) (182,289)(85,169) (48,319) (26,567) (160,055) (31,321) (191,376)
Other operating expenses(88,126) (37,533) (41,870) (167,529) (7,190) (174,719)(91,974) (35,571) (38,771) (166,316) (8,699) (175,015)
Underwriting income (loss)$10,011
 $55,411
 $148,945
 214,367
 (2,295) 212,072
$7,864
 $54,839
 $174,854
 237,557
 (560) 236,997
                      
Net investment income      95,812
 22,062
 117,874
      100,243
 26,481
 126,724
Net realized gains (losses)      28,512
 5,641
 34,153
      (111,859) 861
 (110,998)
Net impairment losses recognized in earnings      (1,807) 
 (1,807)      (162) 
��(162)
Equity in net income (loss) of investment funds accounted for using the equity method      48,088
 
 48,088
      28,069
 
 28,069
Other income (loss)      (782) 
 (782)      74
 
 74
Corporate expenses (2)      (12,208) 
 (12,208)      (14,482) 
 (14,482)
UGC transaction costs and other (2)      (15,584) 
 (15,584)
Transaction costs and other (2)      (830) 
 (830)
Amortization of intangible assets      (31,294) 
 (31,294)      (26,736) 
 (26,736)
Interest expense      (25,756) (2,920) (28,676)      (25,907) (4,729) (30,636)
Net foreign exchange gains (losses)      (19,845) 441
 (19,404)      (15,039) (4,682) (19,721)
Income before income taxes      279,503
 22,929
 302,432
      170,928
 17,371
 188,299
Income tax (expense) benefit      (28,397) 
 (28,397)
Income tax expense      (21,912) (3) (21,915)
Net income      251,106
 22,929
 274,035
      149,016
 17,368
 166,384
Dividends attributable to redeemable noncontrolling interests      
 (4,584) (4,584)      
 (4,585) (4,585)
Amounts attributable to nonredeemable noncontrolling interests      
 (16,324) (16,324)      
 (11,376) (11,376)
Net income available to Arch      251,106
 2,021
 253,127
      149,016
 1,407
 150,423
Preferred dividends      (11,218) 
 (11,218)      (10,437) 
 (10,437)
Loss on redemption of preferred shares      (2,710) 
 (2,710)
Net income available to Arch common shareholders      $239,888
 $2,021
 $241,909
      $135,869
 $1,407
 $137,276
                      
Underwriting Ratios 
  
  
    
  
 
  
  
    
  
Loss ratio65.8% 43.1% 11.9% 46.9% 70.0% 49.5%65.7% 50.7% 15.5% 49.1% 71.7% 51.6%
Acquisition expense ratio14.8% 18.8% 11.8% 15.1% 26.6% 16.3%15.8% 17.3% 9.5% 14.6% 22.9% 15.5%
Other operating expense ratio17.4% 15.3% 17.1% 16.8% 5.9% 15.6%17.1% 12.7% 13.8% 15.1% 6.4% 14.2%
Combined ratio98.0% 77.2% 40.8% 78.8% 102.5% 81.4%98.6% 80.7% 38.8% 78.8% 101.0% 81.3%
                      
Goodwill and intangible assets$24,371
 $773
 $717,521
 $742,665
 $7,650
 $750,315
$21,664
 $
 $596,690
 $618,354
 $7,650
 $626,004

(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‘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 (UNAUDITED)

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:
Three Months EndedThree Months Ended
March 31,March 31,
2018 20172019 2018
Reserve for losses and loss adjustment expenses at beginning of year$11,383,792
 $10,200,960
Reserve for losses and loss adjustment expenses at beginning of period$11,853,297
 $11,383,792
Unpaid losses and loss adjustment expenses recoverable2,464,910
 2,083,575
2,814,291
 2,464,910
Net reserve for losses and loss adjustment expenses at beginning of year8,918,882
 8,117,385
Net reserve for losses and loss adjustment expenses at beginning of period9,039,006
 8,918,882
      
Net incurred losses and loss adjustment expenses relating to losses occurring in:      
Current year687,885
 635,776
757,964
 687,885
Prior years(51,025) (83,206)(39,432) (51,025)
Total net incurred losses and loss adjustment expenses636,860
 552,570
718,532
 636,860
      
Net foreign exchange losses44,014
 31,279
Retroactive reinsurance transaction (1)(225,500) 
   
Net foreign exchange (gains) losses(504) 44,014
      
Net paid losses and loss adjustment expenses relating to losses occurring in:      
Current year(36,000) (35,003)(64,340) (36,000)
Prior years(514,541) (464,540)(427,312) (514,541)
Total net paid losses and loss adjustment expenses(550,541) (499,543)(491,652) (550,541)
      
Net reserve for losses and loss adjustment expenses at end of period9,049,215
 8,201,691
9,039,882
 9,049,215
Unpaid losses and loss adjustment expenses recoverable2,446,990
 2,095,130
2,970,159
 2,446,990
Reserve for losses and loss adjustment expenses at end of period$11,496,205
 $10,296,821
$12,010,041
 $11,496,205
(1)During the 2019 first quarter, a subsidiary of the Company entered into a retroactive reinsurance transaction with a third party reinsurer to reinsure liabilities associated with certain U.S. insurance exposures.

Development on Prior Year Loss Reserves

2019 First Quarter

During the 2019 first quarter, the Company recorded net favorable development on prior year loss reserves of $39.4 million, which consisted of $4.4 million of favorable development from the insurance segment, $36.6 million from the mortgage segment and $0.1 million from the ‘other’ segment, partially offset by $1.7 million of adverse development from the reinsurance segment.
The insurance segment’s net favorable development of $4.4 million, or 0.8 loss ratio points, for the 2019 first quarter consisted of $9.7 million of net favorable development in short-tailed lines, $6.9 million of net adverse development in medium-tailed lines and $1.6 million of net favorable development in long-tailed lines. Net favorable development in short-tailed lines primarily resulted from property (including special risk other than marine) reserves from the 2017 accident year (i.e., the year in which a loss occurred). Net adverse development in medium-tailed lines primarily resulted from $7.7 million of adverse development on program business and $6.0 million of adverse development on contract binding
business. Such amounts were partially offset by $6.8 million of net favorable development in other medium-tailed lines, including professional liability and surety business, across most accident years.
The reinsurance segment’s net adverse development of $1.7 million, or 0.5 loss ratio points, for the 2019 first quarter consisted of $6.2 million of net adverse development from short-tailed lines, partially offset by $4.5 million of net favorable development from long-tailed and medium-tailed lines. Net adverse development in short-tailed lines included $13.8 million from property catastrophe and property other than property catastrophe reserves, primarily due to an increase in reserves on Typhoon Jebi of $16.0 million, or 4.6 points, based on receipt of updated information from cedents and additional updated industry data. Such amounts were partially offset by net favorable development of $9.6 million from other specialty reserves, primarily from the 2016 and 2018 underwriting years (i.e., all premiums and losses attributable to contracts having an inception or renewal date within the given twelve-month period). Favorable development in long-tailed and medium-tailed lines reflected reductions in casualty and marine reserves from most underwriting years.

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

The mortgage segment’s net favorable development was $36.6 million, or 11.3 loss ratio points, for the 2019 first quarter. The 2019 first quarter development was primarily driven by continued favorable claim rates on first lien business and subrogation recoveries on second lien business at Arch MI U.S.
2018 First Quarter

During the 2018 first quarter, the Company recorded net favorable development on prior year loss reserves of $51.0 million, which consisted of $36.5 million from the reinsurance segment, $2.1 million from the insurance segment, $13.0 million from the mortgage segment and adverse development of $0.6 million from the ‘other’ segment.
The insurance segment’s net favorable development of $2.1 million, or 0.4 loss ratio points, for the 2018 first quarter consisted of $8.7 million of net favorable development in short-tailed lines and $3.0 million of net favorable development in long-tailed lines, partially offset by $9.6 million of net adverse development in medium-tailed lines. Net favorable development in short-tailed lines primarily resulted from property (including special risk other than marine) reserves from the 2017 accident year (i.e., the year in which a loss occurred) while net favorable development in long-tailed lines primarily resulted from reductions in casualty reserves of $3.9 million, primarily from the 2012 to 2014 accident years. Net adverse development in medium-tailed lines reflected $10.2 million of adverse development in program business, primarily driven by a few inactive programs that were non-renewed in 2015 and early in 2016.
The reinsurance segment’s net favorable development of $36.5 million, or 13.1 loss ratio points, for the 2018 first quarter consisted of $28.9 million from short-tailed lines and $7.6 million from long-tailed and medium-tailed lines. Favorable development in short-tailed lines included $21.1 million from property catastrophe and property other than property catastrophe reserves, across most underwriting years (i.e.,, all premiums and losses attributable to contracts having an inception or renewal date within the given twelve-month period), reflecting lower levels of reported and paid claims activity than previously anticipated which led to decreases in certain loss ratio selections during the period. Favorable development in long-tailed and medium-tailed lines reflected reductions in marine reserves of $6.2 million, primarily from the 2011 accident year, and in casualty reserves of $1.1 million based on varying levels of reported and paid claims activity, primarily from the 2002 to 2009 underwriting years.
The insurance segment’s net favorable development of $2.1 million, or 0.4 points, for the 2018 first quarter consisted of $8.7 million of net favorable development in short-tailed lines and $3.0 million of net favorable development in long-tailed lines, partially offset by $9.6 million of net adverse development in medium-tailed lines. Net favorable development in short-tailed lines primarily resulted from property (including special risk other than marine) reserves from the 2017 accident year (i.e., the year in which a loss occurred) while net favorable development in long-tailed lines primarily resulted from reductions in casualty reserves of $3.9 million, primarily from the 2012 to 2014 accident years. Net adverse development in medium-tailed lines reflected $10.2 million of adverse development in program business, primarily driven by a few inactive programs that were non-renewed in 2015 and early in 2016.
The mortgage segment’s net favorable development was $13.0 million, or 4.6 loss ratio points, for the 2018 first quarter. The 2018 first quarter development was primarily driven by continued lower than expected claim rates on first lien business and subrogation recoveries on second lien business.business at Arch MI U.S.


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

2017 First Quarter
During the 2017 first quarter, the Company recorded net favorable development on prior year loss reserves of $83.2 million, which consisted of $57.2 million from the reinsurance segment, $2.1 million from the insurance segment, $23.6 million from the mortgage segment and $0.3 million from the ‘other’ segment.
The reinsurance segment’s net favorable development of $57.2 million, or 23.4 points, for the 2017 first quarter consisted of $40.8 million from short-tailed lines and $16.4 million from long-tailed and medium-tailed lines. Favorable development in short-tailed lines included $34.0 million from property catastrophe and property other than property catastrophe reserves, across most underwriting years, reflecting lower levels of reported and paid claims activity than previously anticipated which led to decreases in certain loss ratio selections during the period. Favorable development in long-tailed and medium-tailed lines reflected reductions in casualty reserves of $5.5 million based on varying levels of reported and paid claims activity, primarily from the 2003 to 2013 underwriting years, and favorable development in marine reserves of $9.9 million across most underwriting years.
The insurance segment’s net favorable development of $2.1 million, or 0.4 points, for the 2017 first quarter consisted of $7.0 million of net favorable development in long-tailed lines and $1.9 million of net favorable development in short-tailed lines, partially offset by $6.8 million of net adverse development in medium-tailed lines. Net favorable development in long-tailed lines reflected net reductions in executive assurance reserves from the 2008 to 2014 accident years. Net favorable development in short-tailed lines primarily resulted from property (including special risk other than marine) reserves from the 2011 to 2016 accident years. Net adverse development in medium-tailed lines primarily resulted from an increase in programs, partially offset by favorable development of $7.5 million in other medium-tailed lines, primarily in professional liability and surety.
The mortgage segment’s net favorable development was $23.6 million, or 9.6 points, for the 2017 first quarter. The 2017 first quarter development was primarily driven by lower than expected claim rates on first lien business and subrogation recoveries on second lien business.


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

7.6.    Investment Information


At March 31, 2018,2019, total investable assets of $22.28$22.88 billion included $19.79$20.06 billion held by the Company and $2.49$2.82 billion attributable to Watford Re.
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
Gains
 
Gross
Unrealized
Losses
 
Cost or
Amortized
Cost
 
OTTI
Unrealized
Losses (2)
Estimated
Fair
Value
 
Gross
Unrealized
Gains
 
Gross
Unrealized
Losses
 
Cost or
Amortized
Cost
 
OTTI
Unrealized
Losses (2)
March 31, 2018         
March 31, 2019         
Fixed maturities (1):                  
Corporate bonds$5,405,695
 $12,379
 $(95,220) $5,488,536
 $(73)$5,816,885
 $81,520
 $(31,276) $5,766,641
 $(69)
Mortgage backed securities339,662
 1,751
 (5,054) 342,965
 (15)499,962
 5,825
 (1,576) 495,713
 (6)
Municipal bonds1,553,616
 7,906
 (24,106) 1,569,816
 
715,893
 14,725
 (1,773) 702,941
 
Commercial mortgage backed securities561,543
 1,106
 (11,078) 571,515
 
610,754
 7,336
 (1,854) 605,272
 
U.S. government and government agencies3,060,805
 5,622
 (20,734) 3,075,917
 
4,579,711
 40,584
 (4,127) 4,543,254
 
Non-U.S. government securities1,656,859
 44,821
 (21,910) 1,633,948
 
1,797,484
 33,435
 (34,093) 1,798,142
 
Asset backed securities2,121,126
 3,891
 (17,812) 2,135,047
 
1,545,355
 15,115
 (6,809) 1,537,049
 
Total14,699,306
 77,476
 (195,914) 14,817,744
 (88)15,566,044
 198,540
 (81,508) 15,449,012
 (75)
Equity securities (3)         
Other investments
 
 
 
 
Short-term investments967,389
 1,851
 (1,184) 966,722
 
706,214
 352
 (92) 705,954
 
Total$15,666,695
 $79,327
 $(197,098) $15,784,466
 $(88)$16,272,258
 $198,892
 $(81,600) $16,154,966
 $(75)
                  
December 31, 2017         
December 31, 2018         
Fixed maturities (1):                  
Corporate bonds$4,434,439
 $30,943
 $(32,340) $4,435,836
 $(73)$5,537,548
 $14,476
 $(105,428) $5,628,500
 $(69)
Mortgage backed securities316,141
 1,640
 (2,561) 317,062
 (15)541,193
 3,991
 (3,216) 540,418
 (6)
Municipal bonds2,158,840
 20,285
 (12,308) 2,150,863
 
1,013,395
 5,380
 (11,891) 1,019,906
 
Commercial mortgage backed securities545,817
 2,131
 (4,268) 547,954
 
729,442
 2,650
 (10,751) 737,543
 
U.S. government and government agencies3,484,257
 2,188
 (28,769) 3,510,838
 
3,758,698
 27,189
 (8,474) 3,739,983
 
Non-U.S. government securities1,612,754
 48,764
 (17,321) 1,581,311
 
1,771,338
 14,477
 (50,948) 1,807,809
 
Asset backed securities1,780,143
 5,147
 (8,614) 1,783,610
 
1,600,896
 8,060
 (14,798) 1,607,634
 
Total14,332,391
 111,098
 (106,181) 14,327,474
 (88)14,952,510
 76,223
 (205,506) 15,081,793
 (75)
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
 
955,880
 36
 (394) 956,238
 
Total$16,570,755
 $267,433
 $(112,447) $16,415,769
 $(88)$15,908,390
 $76,259
 $(205,900) $16,038,031
 $(75)
(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 other-than-temporary impairments (“OTTI”) recognized in accumulated other comprehensive income (“AOCI”). It does not include the change in fair value subsequent to the impairment measurement date. At March 31, 2019 and December 31, 2018, the net unrealized gainloss related to securities for which a non-credit OTTI was recognized in AOCI was $0.3 million, compared to a net unrealized gain of $0.3 million at December 31, 2017.nil.
(3)Effective January 1, 2018, the Company adopted new accounting guidance for financial instruments (see Note 2). As a result, equity securities are no longer accounted for as available for sale and are excluded from this table.




ARCH CAPITAL 201920182019 FIRST QUARTER FORM 10-Q

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

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 Months 12 Months or More TotalLess than 12 Months 12 Months or More Total
Estimated
Fair
Value
 
Gross
Unrealized
Losses
 Estimated
Fair
Value
 
Gross
Unrealized
Losses
 Estimated
Fair
Value
 
Gross
Unrealized
Losses
Estimated
Fair
Value
 
Gross
Unrealized
Losses
 Estimated
Fair
Value
 
Gross
Unrealized
Losses
 Estimated
Fair
Value
 
Gross
Unrealized
Losses
March 31, 2018           
March 31, 2019           
Fixed maturities (1):                      
Corporate bonds$4,504,553
 $(85,531) $262,846
 $(9,689) $4,767,399
 $(95,220)$450,609
 $(14,755) $1,376,117
 $(16,521) $1,826,726
 $(31,276)
Mortgage backed securities233,380
 (5,025) 722
 (29) 234,102
 (5,054)41,253
 (272) 106,136
 (1,304) 147,389
 (1,576)
Municipal bonds952,179
 (18,804) 116,001
 (5,302) 1,068,180
 (24,106)12,604
 (36) 177,113
 (1,737) 189,717
 (1,773)
Commercial mortgage backed securities375,841
 (7,416) 57,015
 (3,662) 432,856
 (11,078)69,792
 (347) 91,338
 (1,507) 161,130
 (1,854)
U.S. government and government agencies2,110,130
 (19,330) 59,567
 (1,404) 2,169,697
 (20,734)696,039
 (656) 378,351
 (3,471) 1,074,390
 (4,127)
Non-U.S. government securities1,351,254
 (20,544) 87,172
 (1,366) 1,438,426
 (21,910)1,062,659
 (31,117) 257,300
 (2,976) 1,319,959
 (34,093)
Asset backed securities1,457,917
 (14,124) 165,038
 (3,688) 1,622,955
 (17,812)324,034
 (4,143) 299,844
 (2,666) 623,878
 (6,809)
Total10,985,254
 (170,774) 748,361
 (25,140) 11,733,615
 (195,914)2,656,990
 (51,326) 2,686,199
 (30,182) 5,343,189
 (81,508)
Equity securities (2)           
Other investments
 
 
 
 
 
Short-term investments218,597
 (1,184) 
 
 218,597
 (1,184)67,807
 (92) 
 
 67,807
 (92)
Total$11,203,851
 $(171,958) $748,361
 $(25,140) $11,952,212
 $(197,098)$2,724,797
 $(51,418) $2,686,199
 $(30,182) $5,410,996
 $(81,600)
                      
December 31, 2017           
December 31, 2018           
Fixed maturities (1):                      
Corporate bonds$2,320,716
 $(25,411) $279,082
 $(6,929) $2,599,798
 $(32,340)$2,983,195
 $(68,910) $1,234,865
 $(36,518) $4,218,060
 $(105,428)
Mortgage backed securities221,113
 (1,715) 28,380
 (846) 249,493
 (2,561)84,296
 (695) 109,009
 (2,521) 193,305
 (3,216)
Municipal bonds1,030,389
 (8,438) 132,469
 (3,870) 1,162,858
 (12,308)233,081
 (2,074) 408,155
 (9,817) 641,236
 (11,891)
Commercial mortgage backed securities225,164
 (1,899) 57,291
 (2,369) 282,455
 (4,268)223,341
 (2,831) 193,956
 (7,920) 417,297
 (10,751)
U.S. government and government agencies2,646,415
 (26,501) 111,879
 (2,268) 2,758,294
 (28,769)635,049
 (1,354) 391,102
 (7,120) 1,026,151
 (8,474)
Non-U.S. government securities1,218,514
 (15,546) 93,530
 (1,775) 1,312,044
 (17,321)1,028,340
 (35,524) 389,671
 (15,424) 1,418,011
 (50,948)
Asset backed securities1,111,246
 (5,915) 209,207
 (2,699) 1,320,453
 (8,614)533,592
 (8,832) 368,095
 (5,966) 901,687
 (14,798)
Total8,773,557
 (85,425) 911,838
 (20,756) 9,685,395
 (106,181)5,720,894
 (120,220) 3,094,853
 (85,286) 8,815,747
 (205,506)
Equity securities166,562
 (5,583) 
 
 166,562
 (5,583)
Other investments15,025
 (120) 
 
 15,025
 (120)
Short-term investments109,528
 (563) 
 
 109,528
 (563)122,878
 (394) 
 
 122,878
 (394)
Total$9,064,672
 $(91,691) $911,838
 $(20,756) $9,976,510
 $(112,447)$5,843,772
 $(120,614) $3,094,853
 $(85,286) $8,938,625
 $(205,900)
(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, 2018, the Company adopted new accounting guidance for financial instruments (see Note 2). As a result, equity securities are no longer accounted for as available for sale and are excluded from this table.

At March 31, 2018,2019, on a lot level basis, approximately 5,4502,940 security lots out of a total of approximately 7,5009,250 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 $1.1$2.5 million. At December 31, 2017,2018, on a lot level basis, approximately 3,8305,870 security lots out of a total of approximately 7,4508,450 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$2.6 million.

ARCH CAPITAL 212020182019 FIRST QUARTER FORM 10-Q

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

The contractual maturities of the Company’s fixed maturities 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.
 March 31, 2018 December 31, 2017 March 31, 2019 December 31, 2018
Maturity 
Estimated
Fair
Value
 
Amortized
Cost
 Estimated
Fair
Value
 
Amortized
Cost
 
Estimated
Fair
Value
 
Amortized
Cost
 Estimated
Fair
Value
 
Amortized
Cost
Due in one year or less $569,345
 $567,333
 $550,711
 $548,771
 $436,875
 $438,023
 $276,682
 $279,135
Due after one year through five years 8,016,509
 8,063,846
 7,436,153
 7,434,801
 9,359,874
 9,315,567
 8,666,297
 8,738,944
Due after five years through 10 years 2,817,417
 2,865,124
 3,369,635
 3,369,750
 2,939,707
 2,884,260
 2,919,232
 2,951,582
Due after 10 years 273,704
 271,914
 333,791
 325,526
 173,517
 173,128
 218,768
 226,537
 11,676,975
 11,768,217
 11,690,290
 11,678,848
 12,909,973
 12,810,978
 12,080,979
 12,196,198
Mortgage backed securities 339,662
 342,965
 316,141
 317,062
 499,962
 495,713
 541,193
 540,418
Commercial mortgage backed securities 561,543
 571,515
 545,817
 547,954
 610,754
 605,272
 729,442
 737,543
Asset backed securities 2,121,126
 2,135,047
 1,780,143
 1,783,610
 1,545,355
 1,537,049
 1,600,896
 1,607,634
Total (1) $14,699,306
 $14,817,744
 $14,332,391
 $14,327,474
 $15,566,044
 $15,449,012
 $14,952,510
 $15,081,793
(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 “—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, 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 from the Company.
The Company receives collateral in the form of cash or securities. Cash collateral primarily consists of short term investments. At March 31, 2019, the fair value of the cash collateral received on securities lending was $48.6 million and the fair value of security collateral received was $366.4 million. At December 31, 2018, the fair value of the cash collateral received on securities lending was $38.3$19.0 million, and the fair value of security collateral received was $328.7 million. At December 31, 2017, the fair value of the cash collateral received on securities lending was $199.9 million, and the fair value of security collateral received was $276.7$255.1 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 Remaining Contractual Maturity of the Agreements
 Overnight and Continuous Less than 30 Days 30-90 Days 90 Days or More Total Overnight and Continuous Less than 30 Days 30-90 Days 90 Days or More Total
March 31, 2018          
March 31, 2019          
U.S. government and government agencies $213,300
 $2,710
 $105,349
 $
 $321,359
 $339,404
 $7,424
 $48,903
 $
 $395,731
Corporate bonds 37,828
 
 
 
 37,828
 3,625
 
 
 
 3,625
Equity securities 7,847
 
 
 
 7,847
 15,692
 
 
 
 15,692
Total $258,975
 $2,710
 $105,349
 $
 $367,034
 $358,721
 $7,424
 $48,903
 $
 $415,048
Gross amount of recognized liabilities for securities lending in offsetting disclosure in Note 9 $
Amounts related to securities lending not included in offsetting disclosure in Note 9 $367,034
Gross amount of recognized liabilities for securities lending in offsetting disclosure in note 8Gross amount of recognized liabilities for securities lending in offsetting disclosure in note 8 $
Amounts related to securities lending not included in offsetting disclosure in note 8Amounts related to securities lending not included in offsetting disclosure in note 8 $415,048
                    
December 31, 2017          
December 31, 2018          
U.S. government and government agencies $343,425
 $20,309
 $76,086
 $
 $439,820
 $219,276
 $
 $32,583
 $
 $251,859
Corporate bonds 28,003
 
 
 
 28,003
 7,129
 
 
 
 7,129
Equity securities 8,782
 
 
 
 8,782
 15,137
 
 
 
 15,137
Total $380,210
 $20,309
 $76,086
 $
 $476,605
 $241,542
 $
 $32,583
 $
 $274,125
Gross amount of recognized liabilities for securities lending in offsetting disclosure in Note 9 $
Amounts related to securities lending not included in offsetting disclosure in Note 9 $476,605
Gross amount of recognized liabilities for securities lending in offsetting disclosure in note 8
Gross amount of recognized liabilities for securities lending in offsetting disclosure in note 8
 $
Amounts related to securities lending not included in offsetting disclosure in note 8
Amounts related to securities lending not included in offsetting disclosure in note 8
 $274,125

ARCH CAPITAL 222120182019 FIRST QUARTER FORM 10-Q

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

Equity Securities, at Fair Value
At March 31, 2019, the Company held $495.9 million of equity securities, at fair value, compared to $338.9 million at December 31, 2018. Such holdings include publicly traded common stocks in the natural resources, energy, consumer staples and other sectors.
Other Investments
The following table summarizes the Company’s other investments including availablewhich are included in investments accounted for sale andusing the fair value option, components:by strategy:
 March 31,
2018
 December 31,
2017
Available for sale securities:   
Asian and emerging markets$
 $135,140
Investment grade fixed income
 53,878
Credit related funds
 18,365
Other
 57,606
Total available for sale (1)
 264,989
Fair value option:   
Term loan investments (par value: $1,178,470 and $1,223,453)$1,160,675
 $1,200,882
Mezzanine debt funds234,078
 252,160
Credit related funds205,303
 175,422
Investment grade fixed income106,744
 102,347
Asian and emerging markets340,507
 258,541
Other (2)132,402
 147,029
Total fair value option2,179,709
 2,136,381
Total$2,179,709
 $2,401,370
 March 31,
2019
 December 31,
2018
Term loan investments (par value: $1,375,936 and $1,369,216)$1,297,025
 $1,282,287
Lending545,569
 524,112
Credit related funds225,876
 202,123
Energy126,612
 117,509
Investment grade fixed income97,676
 101,902
Infrastructure54,421
 45,371
Private equity24,501
 24,383
Real estate15,930
 14,252
Total$2,387,610
 $2,311,939
(1)The Company reviewed the accounting treatment for three limited partnership investments which were accounted for as available for sale at December 31, 2017 and determined, based on reconsideration during the period of the Company’s percentage ownership, that the equity method of accounting was appropriate for such investments at March 31, 2018.
(2)Includes fund investments with strategies in mortgage servicing rights, transportation, infrastructure assets and other.

Investments Accounted For Using the Equity Method
The following table summarizes the Company’s investments accounted for using the equity method, by strategy:
 March 31,
2019
 December 31,
2018
Credit related funds$438,208
 $429,402
Equities350,315
 375,273
Real estate248,739
 232,647
Lending192,346
 125,041
Private equity111,454
 114,019
Infrastructure126,706
 113,748
Energy96,011
 103,661
Total$1,563,779
 $1,493,791
Certain of the Company’s other investments 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:
March 31,
2018
 December 31,
2017
March 31,
2019
 December 31,
2018
Fixed maturities$1,553,870
 $1,642,855
$1,192,486
 $1,245,562
Other investments2,179,709
 2,136,381
2,387,610
 2,311,939
Short-term investments207,095
 297,426
282,139
 322,177
Equity securities178,465
 139,575
107,388
 103,893
Investments accounted for using the fair value option$4,119,139
 $4,216,237
$3,969,623
 $3,983,571
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.’ The Company has determined that it is not required to consolidate these investments because it is not the primary beneficiary of 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 line item:
March 31,
2018
 December 31,
2017
March 31,
2019
 December 31,
2018
Investments accounted for using the equity method (1)$1,210,325
 $1,041,321
1,563,779
 1,493,791
Investments accounted for using the fair value option (2)157,556
 130,471
178,572
 162,398
Total$1,367,881
 $1,171,792
$1,742,351
 $1,656,189
(1)Aggregate unfunded commitments were $957.8 million$1.34 billion at March 31, 2018,2019, compared to $1.02$1.22 billion at December 31, 2017.2018.
(2)Aggregate unfunded commitments were $107.2$177.0 million at March 31, 2018,2019, compared to $100.4$117.5 million at December 31, 2017.2018.

ARCH CAPITAL 232220182019 FIRST QUARTER FORM 10-Q

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

Net Investment Income
The components of net investment income were derived from the following sources:
March 31,March 31,
2018 20172019 2018
Three Months Ended      
Fixed maturities$107,887
 $94,393
$129,799
 $107,887
Term loans24,616
 19,764
Equity securities2,568
 2,643
2,988
 2,568
Short-term investments4,860
 1,759
4,179
 4,860
Other (1)37,374
 39,580
21,196
 17,610
Gross investment income152,689
 138,375
182,778
 152,689
Investment expenses(25,965) (20,501)(25,829) (25,965)
Net investment income$126,724
 $117,874
$156,949
 $126,724
(1)Includes income distributions from investment funds term loan investments and other items.
Net Realized Gains (Losses)
Net realized gains (losses) were as follows, excluding other than-temporarynet impairment provision.losses recognized in earnings:
March 31,March 31,
2018 20172019 2018
Three Months Ended      
Available for sale securities: 
  
 
  
Gross gains on investment sales$14,965
 $69,175
$43,365
 $14,965
Gross losses on investment sales(82,551) (61,362)(31,656) (82,551)
Change in fair value of assets and liabilities accounted for using the fair value option:      
Fixed maturities(17,551) 20,541
31,148
 (17,551)
Other investments(6,374) 17,248
18,195
 (6,374)
Equity securities6,668
 3,545
4,266
 6,668
Short-term investments(151) 4
720
 (151)
Equity securities (1)(12,951) 
Derivative instruments (2)(3,963) (9,181)
Other (3)(9,090) (5,817)
Equity securities, at fair value:   
Net realized gains (losses) on sales during the period10,930
 (5,368)
Net unrealized gains (losses) on equity securities still held at reporting date37,136
 (7,583)
Derivative instruments (1)35,871
 (3,963)
Other (2)(8,410) (9,090)
Net realized gains (losses)$(110,998) $34,153
$141,565
 $(110,998)
(1)Pursuant to new accounting guidance (see Note 2), changes in fair value
See note 8 for information on equity securities are recorded through net income effective for the 2018 first quarter. Such amount included $7.6 million of net unrealized losses on equity instruments still held as of March 31, 2018.Company’s derivative instruments.
(2)See Note 9 for information on the Company’s derivative instruments.
(3)Includes the re-measurement of contingent consideration liability amounts.

Equity in Net Income (Loss) of Investment Funds Accounted for Using the Equity Method
The Company recorded $28.1$46.9 million of equity in net income related to investment funds accounted for using the equity method in the 20182019 first quarter, compared to $48.1$28.1 million for the 20172018 first quarter. 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 market 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.
Other-Than-Temporary ImpairmentsNet Impairment Losses Recognized in Earnings
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:
March 31,March 31,
2018 20172019 2018
Three Months Ended      
Fixed maturities: 
  
 
  
Mortgage backed securities$(42) $(1,319)$(531) $(42)
Corporate bonds(120) (1)(565) (120)
Non-U.S. government securities
 (198)
Asset backed securities(213) 
Total(162) (1,518)(1,309) (162)
Equity securities
 (186)
Other investments
 (103)
Net impairment losses recognized in earnings$(162) $(1,807)$(1,309) $(162)
 
Net impairment losses recognized in earnings in the 20182019 first quarter were primarily related toreflected foreign currency fluctuationsimpacts and other impairments on one corporate bond.bonds and other securities.
The Company believes that the $0.1 million of OTTI included in accumulated other comprehensive income at March 31, 20182019 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 March 31, 2018,2019, 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.
The following table provides a roll forward of the amount related to credit losses recognized in earnings for which a portion of an OTTI was recognized in accumulated other comprehensive income:
March 31,March 31,
2018 20172019 2018
Three Months Ended      
Balance at start of period$767
 $13,138
$637
 $767
Credit loss impairments recognized on securities not previously impaired
 

 
Credit loss impairments recognized on securities previously impaired
 23

 
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
 (624)(291) 
Balance at end of period$767
 $12,537
$346
 $767

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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 reinsurance 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, “Commitments and Contingencies,” of the notes to consolidated financial statements in the Company’s 20172018 Form 10-K.
The following table details the value of the Company’s restricted assets:
March 31,
2018
 December 31,
2017
March 31,
2019
 December 31,
2018
Assets used for collateral or guarantees: 
  
 
  
Affiliated transactions$4,717,146
 $4,323,726
$4,796,096
 $4,623,483
Third party agreements1,517,580
 1,674,304
2,403,392
 2,181,682
Deposits with U.S. regulatory authorities706,316
 616,987
780,916
 689,114
Deposits with non-U.S. regulatory authorities56,171
 55,895
59,680
 59,624
Total restricted assets$6,997,213
 $6,670,912
$8,040,084
 $7,553,903
Reconciliation of Cash and Restricted Cash
The following table details reconciliation of cash and restricted cash within the Consolidated Balance Sheets:
 March 31,
2019
 December 31,
2018
Cash$633,100
 $646,556
Restricted cash (included in ‘other assets’)$77,116
 $78,087
Cash and restricted cash$710,216
 $724,643

8.7.    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
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 average number of 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

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representative of fair value. The Company did not adjust any of the prices obtained from the independent pricing sources at March 31, 2018.2019.
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 $20.50$20.88 billion of financial assets and

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liabilities measured at fair value at March 31, 2018,2019, approximately $207.9$221.0 million, or 1.0%1.1%, were priced using non-binding broker-dealer quotes. Of the $20.92$20.41 billion of financial assets and liabilities measured at fair value at December 31, 2017,2018, approximately $181.5$217.9 million, or 0.9%1.1%, 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 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. 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.
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. 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.
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. The pricing services also review prepayment speeds and other indicators, when applicable. 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. 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.
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.non-

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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

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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. The pricing services also review prepayment speeds and other indicators, when applicable. 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.
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.
Other investments
The Company determined that exchange-traded investments in mutual funds 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. The fair values for certain of the Company’s other investments are determined using net asset values as advised by external fund managers. The net asset value is based on the fund manager’s valuation of the underlying holdings in accordance with the fund’s governing documents. 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. A small number of securities are included in Level 3 due to the lack of an available independent price source for such 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.
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 acquisition of CMG Mortgage Insurance Company and its affiliated mortgage insurance companies 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 (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 March 31, 2018:2019:
  Estimated Fair Value Measurements Using:  Estimated Fair Value Measurements 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)
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$5,405,695
 $
 $5,396,543
 $9,152
$5,816,885
 $
 $5,809,318
 $7,567
Mortgage backed securities339,662
 
 339,294
 368
499,962
 
 499,660
 302
Municipal bonds1,553,616
 
 1,553,616
 
715,893
 
 715,893
 
Commercial mortgage backed securities561,543
 
 561,498
 45
610,754
 
 610,754
 
U.S. government and government agencies3,060,805
 2,999,218
 61,587
 
4,579,711
 4,439,888
 139,823
 
Non-U.S. government securities1,656,859
 
 1,656,859
 
1,797,484
 
 1,797,484
 
Asset backed securities2,121,126
 
 2,116,126
 5,000
1,545,355
 
 1,545,355
 
Total14,699,306
 2,999,218
 11,685,523
 14,565
15,566,044
 4,439,888
 11,118,287
 7,869
              
Short-term investments967,389
 866,985
 100,404
 
706,214
 682,778
 23,436
 
              
Equity securities, at fair value551,437
 548,279
 3,158
 
511,425
 433,317
 78,108
 
              
Derivative instruments (4)14,649
 
 14,649
 
13,966
 
 13,966
 
              
Fair value option:              
Corporate bonds1,058,042
 
 1,046,170
 11,872
786,476
 
 784,243
 2,233
Non-U.S. government bonds174,954
 
 174,954
 
82,982
 
 82,982
 
Mortgage backed securities18,373
 
 18,373
 
16,328
 
 16,328
 
Municipal bonds13,355
 
 13,355
 
6,587
 
 6,587
 
Commercial mortgage backed securities1,435
 
 1,435
 

 
 
 
Asset backed securities152,905
 
 152,905
 
190,448
 
 190,448
 
U.S. government and government agencies134,806
 134,536
 270
 
109,665
 109,557
 108
 
Short-term investments207,095
 17,742
 189,353
 
282,139
 272,904
 9,235
 
Equity securities178,465
 81,706
 96,759
 
107,388
 51,113
 56,275
 
Other investments1,158,368
 65,857
 1,034,059
 58,452
1,286,645
 46,661
 1,177,655
 62,329
Other investments measured at net asset value (2)1,021,341
      1,100,965
      
Total4,119,139
 299,841
 2,727,633
 70,324
3,969,623
 480,235
 2,323,861
 64,562
              
Total assets measured at fair value$20,351,920
 $4,714,323
 $14,531,367
 $84,889
$20,767,272
 $6,036,218
 $13,557,658
 $72,431
              
Liabilities measured at fair value: 
  
  
  
 
  
  
  
Contingent consideration liabilities$(62,449) $
 $
 $(62,449)$(68,121) $
 $
 $(68,121)
Securities sold but not yet purchased (3)(63,110) 
 (63,110) 
(28,737) 
 (28,737) 
Derivative instruments (4)(26,726) 
 (26,726) 
(11,547) 
 (11,547) 
Total liabilities measured at fair value$(152,285) $
 $(89,836) $(62,449)$(108,405) $
 $(40,284) $(68,121)

(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 7, “Investment Information—note 6, “—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 9, “Derivative Instruments.”note 8.

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The following table presents the Company’s financial assets and liabilities measured at fair value by level at December 31, 2017:2018:
  Estimated Fair Value Measurements Using:  Estimated Fair Value Measurements 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)
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$4,434,439
 $
 $4,424,979
 $9,460
$5,537,548
 $
 $5,529,407
 $8,141
Mortgage backed securities316,141
 
 315,754
 387
541,193
 
 540,884
 309
Municipal bonds2,158,840
 
 2,158,840
 
1,013,395
 
 1,013,395
 
Commercial mortgage backed securities545,817
 
 545,277
 540
729,442
 
 729,438
 4
U.S. government and government agencies3,484,257
 3,408,902
 75,355
 
3,758,698
 3,657,181
 101,517
 
Non-U.S. government securities1,612,754
 
 1,612,754
 
1,771,338
 
 1,771,338
 
Asset backed securities1,780,143
 
 1,775,143
 5,000
1,600,896
 
 1,600,896
 
Total14,332,391
 3,408,902
 10,908,102
 15,387
14,952,510
 3,657,181
 11,286,875
 8,454
              
Equity securities504,333
 498,182
 6,151
 
353,794
 321,927
 31,867
 
              
Short-term investments1,469,042
 1,420,732
 48,310
 
955,880
 875,881
 79,999
 
       
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
 
73,893
 
 73,893
 
              
Fair value option:              
Corporate bonds1,068,725
 
 1,056,508
 12,217
852,585
 
 846,827
 5,758
Non-U.S. government bonds195,788
 
 195,788
 
79,066
 
 79,066
 
Mortgage backed securities20,491
 
 20,491
 
16,731
 
 16,731
 
Municipal bonds15,210
 
 15,210
 
7,144
 
 7,144
 
Commercial mortgage backed securities11,997
 
 11,997
 

 
 
 
Asset backed securities99,354
 
 99,354
 
178,790
 
 178,790
 
U.S. government and government agencies231,290
 231,019
 271
 
111,246
 111,138
 108
 
Short-term investments297,426
 40,166
 257,260
 
322,177
 278,579
 43,598
 
Equity securities139,575
 67,440
 72,135
 
103,893
 48,827
 55,066
 
Other investments1,128,094
 82,291
 986,636
 59,167
1,254,220
 39,107
 1,152,408
 62,705
Other investments measured at net asset value (2)1,008,287
      1,057,719
      
Total4,216,237
 420,916
 2,715,650
 71,384
3,983,571
 477,651
 2,379,738
 68,463
              
Total assets measured at fair value$20,802,739
 $5,823,343
 $13,695,776
 $86,771
$20,319,648
 $5,332,640
 $13,852,372
 $76,917
              
Liabilities measured at fair value: 
  
  
  
 
  
  
  
Contingent consideration liabilities$(60,996) $
 $
 $(60,996)$(66,665) $
 $
 $(66,665)
Securities sold but not yet purchased (3)(34,375) 
 (34,375) 
(7,790) 
 (7,790) 
Derivative instruments (4)(20,464) 
 (20,464) 
(20,664) 
 (20,664) 
Total liabilities measured at fair value$(115,835) $
 $(54,839) $(60,996)$(95,119) $
 $(28,454) $(66,665)

(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 7, “Investment Information—note 6, “—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 9, “Derivative Instruments.”note 8.


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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:
Assets LiabilitiesAssets Liabilities
sAvailable For Sale Fair Value Option    Available For Sale Fair Value Option    
Structured Securities (1) Corporate
Bonds
 Corporate
Bonds
 
Other
Investments
 Total Contingent Consideration Liabilities
Three Months Ended March 31, 2019   
    
    
Balance at beginning of period$313
 $8,141
 $5,758
 $62,705
 $76,917
 $(66,665)
Total gains or (losses) (realized/unrealized)           
Included in earnings (2)1,757
 
 (290) 298
 1,765
 (908)
Included in other comprehensive income4
 (118) 
 
 (114) 
Purchases, issuances, sales and settlements           
Purchases
 
 
 
 
 
Issuances
 
 
 
 
 (548)
Sales(1,757) 
 (3,235) (74) (5,066) 
Settlements(15) (456) 
 (600) (1,071) 
Transfers in and/or out of Level 3
 
 
 
 
 
Balance at end of period$302
 $7,567
 $2,233
 $62,329
 $72,431
 $(68,121)
Structured Securities (1) Corporate
Bonds
 Corporate
Bonds
 
Other
Investments
 Total Contingent Consideration Liabilities           
Three Months Ended March 31, 2018   
    
       
    
  
  
Balance at beginning of period$5,927
 $9,460
 $12,217
 $59,167
 $86,771
 $(60,996)$5,927
 $9,460
 $12,217
 $59,167
 $86,771
 $(60,996)
Total gains or (losses) (realized/unrealized)                      
Included in earnings (2)1
 
 12
 17
 30
 (1,453)1
 
 12
 17
 30
 (1,453)
Included in other comprehensive income(4) 148
 (87) (732) (675) 
(4) 148
 (87) (732) (675) 
Purchases, issuances, sales and settlements                      
Purchases
 
 
 
 
 

 
 
 
 
 
Issuances
 
 
 
 
 

 
 
 
 
 
Sales
 
 
 
 
 

 
 
 
 
 
Settlements(511) (456) (270) 
 (1,237) 
(511) (456) (270) 
 (1,237) 
Transfers in and/or out of Level 3
 
 
 
 
 

 
 
 
 
 
Balance at end of period$5,413
 $9,152
 $11,872
 $58,452
 $84,889
 $(62,449)$5,413
 $9,152
 $11,872
 $58,452
 $84,889
 $(62,449)
           
Three Months Ended March 31, 2017   
    
  
  
Balance at beginning of period$11,289
 $18,344
 $
 $25,000
 $54,633
 $(122,350)
Total gains or (losses) (realized/unrealized)           
Included in earnings (2)707
 257
 
 
 964
 (3,646)
Included in other comprehensive income
 
 
 
 
 
Purchases, issuances, sales and settlements           
Purchases
 
 
 
 
 
Issuances
 
 
 
 
 
Sales
 
 
 
 
 
Settlements(1,359) 
 
 
 (1,359) 452
Transfers in and/or out of Level 3
 
 
 
 
 
Balance at end of period$10,637
 $18,601
 $
 $25,000
 $54,238
 $(125,544)

(1)Includes asset backed securities, mortgage backed securities and commercial mortgage backed securities.
(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 March 31, 2018,2019, due to their respective short maturities. As these financial instruments are not actively traded, their respective fair values are classified within Level 2.
At March 31, 2018,2019, the Company’s senior notes were carried at their cost, net of debt issuance costs, of $1.73 billion and had a fair value of $1.96$1.98 billion. At December 31, 2017,2018, Company’s senior notes were carried at their cost, net of debt issuance costs, of $1.73 billion and had a fair value of $2.04$1.88 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 values of the senior notes are classified within Level 2.
 
9.8.    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

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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  Estimated Fair Value  
Asset Derivatives Liability Derivatives 
Notional
Value (1)
Asset Derivatives Liability Derivatives 
Notional
Value (1)
March 31, 2018     
Futures contracts (2)$1,929
 $(6,291) $1,209,668
Foreign currency forward contracts (2)4,598
 (11,383) 1,489,627
Other (2)8,122
 (9,052) 1,934,144
Total$14,649
 $(26,726)  
     
December 31, 2017     
March 31, 2019     
Futures contracts (2)$3,371
 $(1,542) $1,452,497
$1,238
 $(1,302) $3,650,464
Foreign currency forward contracts (2)4,478
 (4,381) 686,941
405
 (3,825) 1,228,530
TBAs (3)27,184
 
 27,066
15,456
 
 14,846
Other (2)7,898
 (14,541) 1,457,345
12,323
 (6,420) 2,504,873
Total$42,931
 $(20,464)  $29,422
 $(11,547)  
     
December 31, 2018     
Futures contracts (2)$51,800
 $(2,115) $3,153,518
Foreign currency forward contracts (2)8,147
 (7,796) 1,008,907
TBAs (3)8,292
 
 8,132
Other (2)13,946
 (10,753) 2,213,981
Total$82,185
 $(20,664)  
(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.’
(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 March 31, 20182019 or December 31, 2017.2018.
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. Contractual close-out netting reduces derivatives credit exposure from gross to net exposure. The remaining derivatives included in the table above were not subject to a master netting agreement.
At March 31, 2018,2019, asset derivatives and liability derivatives of $12.1$27.9 million and $25.8$14.5 million, respectively, were subject
to a master netting agreement, compared to $40.6$80.4 million and $19.6$18.9 million, respectively, at December 31, 2017.2018. The remaining derivatives included in the preceding table were not subject to a master netting agreement.
Realized 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 March 31, March 31,
hedging instruments: 2018 2017 2019 2018
        
Three Months Ended        
Net realized gains (losses):        
Futures contracts $5,030
 $7,720
 $27,336
 $5,030
Foreign currency forward contracts (5,924) (11,766) (13,709) (5,924)
TBAs (97) (65) 190
 (97)
Other (2,972) (5,070) 22,054
 (2,972)
Total $(3,963) $(9,181) $35,871
 $(3,963)

10.9.    Commitments and Contingencies

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 $1.63$1.83 billion at March 31, 2018,2019, compared to $1.70$1.77 billion at December 31, 2017.2018.
Interest Paid
Interest paid on the Company’s senior notes and other borrowings were $7.96.2 million for the three months ended March 31, 2018,2019, compared to $5.8$7.9 million for the 20172018 period.
11.    Share Transactions10.    Leases

Share Repurchases
The boardIn the ordinary course of directors of Arch Capital has authorizedbusiness, the investment in Arch Capital’s common shares throughCompany renews and enters into new leases for office property and equipment. At the lease inception date, the Company determines whether a share repurchase program. Since the inceptioncontract contains a lease and its classification as a finance or operating lease. Primarily all of the share repurchase program, Arch Capital has repurchased approximately 125.3 million common shares for an aggregate purchase priceCompany’s leases are classified as operating leases. The Company’s operating leases have remaining lease terms of $3.69 billion. Forup to 12 years, some of which include options to extend the three months ended March 31, 2018, Arch Capital repurchased 39,405 shares underlease term. The Company considers these options when determining the share repurchase programlease term and measuring its lease liability and right-of-use asset.

Short-term operating leases with an aggregate purchase priceinitial term of $3.3 million. Arch Capital did not repurchase any shares undertwelve months or less were excluded on the share repurchase program during the three months ended March 31, 2017. At March 31, 2018, $443.2 million of share repurchases were available under the program, which may be effected from time to time in open market or privately negotiated transactions through December 31, 2019. The timing and amount of theCompany's consolidated

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repurchase transactions under this program will dependbalance 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 a varietythe information available at the lease commencement date in determining the present value of factors, including market conditions and corporate and regulatory considerations. See note 16, “Subsequent Events.”lease payments.
Conversion of Convertible Non-Voting Common Equivalent Preferred SharesThe Company’s lease agreements do not contain any material residual value guarantees or material restrictive covenants.
In March 2018, Arch Capital completed an underwritten public secondary offering of 5,674,200 common shares by AIG following transfer of 567,420 Series D convertible non-voting common equivalent preferred shares (“Series D Preferred Shares”). Proceeds fromFor the sale of common shares pursuant to the public offering were received by AIG. Atthree months ended March 31, 2019, the Company recognized approximately $7.6 million in operating lease costs.
Additional information regarding the Company’s operating leases is as follows:
  March 31,
  2019
   
Other information on operating leases  
Cash payments included in the measurement of lease liabilities reported in operating cash flows $6,900
Right-of-use assets obtained in exchange for new lease liabilities $
Right-of-use assets (a) $140,741
Operating lease liability (b) $157,729
Weighted average discount rate 3.9%
Weighted average remaining lease term 7.2 years
(a) Included in ‘other assets’ on our consolidated balance sheet
(b) Included in ‘other liabilities’ on our consolidated balance sheet

The following table presents the contractual maturities of the Company's operating lease liabilities:
Years Ending December 31,  
Remainder of 2019 $22,457
2020 29,796
2021 28,632
2022 25,349
2023 20,901
Thereafter 53,902
Total undiscounted lease liability $181,037
Less: present value adjustment (23,308)
Operating lease liability $157,729

At December 31, 2018, no Series D Preferred Shares were outstanding.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:
2019$31,088
202030,491
202129,351
202226,068
202321,408
2024 and thereafter54,745
Total$193,151
 
Series C Preferred Shares
11.Variable Interest Entities and Noncontrolling Interests

On January 2, 2018, Arch Capital redeemed all outstanding 6.75% Series C non-cumulative preferredWatford Holdings Ltd.
In March 2014, the Company invested $100.0 million and acquired 2,500,000 common shares, approximately 11% of Watford Holdings Ltd.’s common equity, and a warrant to purchase up to 975,503 additional common shares. The warrants expire on March 31, 2020. The exercise price of the warrants is determined on the date of exercise based on certain targeted returns for existing common shareholders. Watford Holdings Ltd.’s common shares are listed on the Nasdaq Select Global Market under the ticker symbol “WTRE”.
Watford Re is considered a VIE and the Company concluded that it is the primary beneficiary of Watford Re. As such, the results of Watford Re are included in the Company’s consolidated financial statements.
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 reinsurance transactions.

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The following table provides the carrying amount and balance sheet caption in which the assets and liabilities of Watford Re are reported:
 March 31, December 31,
 2019 2018
Assets   
Investments accounted for using the fair value option$2,215,322
 $2,312,003
Fixed maturities available for sale, at fair value549,834
 393,351
Equity securities, at fair value65,009
 32,206
Cash56,301
 63,529
Accrued investment income17,346
 19,461
Premiums receivable252,850
 227,301
Reinsurance recoverable on unpaid and paid losses and LAE102,818
 86,445
Ceded unearned premiums72,960
 61,587
Deferred acquisition costs80,664
 80,858
Receivable for securities sold62,566
 24,507
Goodwill and intangible assets7,650
 7,650
Other assets69,547
 63,959
Total assets of consolidated VIE$3,552,867
 $3,372,857
    
Liabilities   
Reserves for losses and loss adjustment expenses$1,104,532
 $1,032,760
Unearned premiums401,838
 390,114
Reinsurance balances payable27,039
 21,034
Revolving credit agreement borrowings488,612
 455,682
Payable for securities purchased95,577
 60,142
Other liabilities (1)272,295
 302,524
Total liabilities of consolidated VIE$2,389,893
 $2,262,256
    
Redeemable noncontrolling interests$221,083
 $220,992
(1)Includes certain borrowings related to investing activities.
For the three months ended March 31, 2019, Watford Re generated $70.3 million of cash provided by operating activities, $105.9 million of cash used for investing activities and $28.1 million of cash provided by financing activities, compared to $30.2 million of cash provided by operating activities, $35.4 million of cash used for investing activities and $66.2 million of cash used for financing activities for the three months ended March 31, 2018.
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 March 31, 2019. 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:
 March 31,
 2019 2018
Three Months Ended   
Balance, beginning of period$791,560
 $843,411
Amounts attributable to noncontrolling interests42,382
 11,376
Other comprehensive income attributable to noncontrolling interests4,139
 (675)
Balance, end of period$838,081
 $854,112
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 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 redeemedissued at a redemption price equal to $25discounted amount of $24.50 per share, plus all declaredshare. Preferred dividends, including the accretion of the discount and unpaid dividends to (but excluding) the redemption date. In accordance with GAAP, following the redemption, original issuance costs, relatedare included in ‘net (income) loss attributable to such shares have been removed from additional paid-in capital andnoncontrolling interests’ in the Company’s consolidated statements of income.
The following table sets forth activity in the redeemable non-controlling interests:
 March 31,
 2019 2018
Three Months Ended   
Balance, beginning of period$206,292
 $205,922
Accretion of preference share issuance costs91
 91
Balance, end of period$206,383
 $206,013
The portion of Watford Re’s income or loss attributable to third party investors, recorded as a “loss on redemptionin the Company’s consolidated statements of preferred shares.” Such adjustment had no impact on total shareholders’ equity or cash flows.income in ‘net (income) loss attributable to noncontrolling interests,’ are summarized in the table below:
 March 31,
 2019 2018
Three Months Ended   
Amounts attributable to non-redeemable noncontrolling interests$(42,382) $(11,376)
Dividends attributable to redeemable noncontrolling interests(4,588) (4,585)
Net (income) loss attributable to noncontrolling interests$(46,970) $(15,961)

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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

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 Assets On-Balance Sheet (Asset) Liability Off-Balance Sheet Total
Mar 31, 2019       
Bellemeade 2015-1 Ltd. (Jul-15)$34,176
 $(76) $163
 $87
Bellemeade 2017-1 Ltd. (Oct-17)296,773
 721
 8,088
 8,809
Bellemeade 2018-1 Ltd. (Apr-18)374,460
 (858) 10,035
 9,177
Bellemeade 2018-2 Ltd. (Aug-18)625,523
 (2,318) 9,688
 7,370
Bellemeade 2018-3 Ltd. (Oct-18)506,110
 (430) 8,975
 8,545
Bellemeade 2019-1 Ltd. (Mar-19)341,790
 
 5,397
 5,397
Total$2,178,832
 $(2,961) $42,346
 $39,385
Dec 31, 2018       
Bellemeade 2015-1 Ltd. (Jul-15)$43,246
 $112
 $498
 $610
Bellemeade 2017-1 Ltd. (Oct-17)304,373
 165
 1,312
 1,477
Bellemeade 2018-1 Ltd. (Apr-18)374,460
 132
 3,539
 3,671
Bellemeade 2018-2 Ltd. (Aug-18)653,278
 874
 4,005
 4,879
Bellemeade 2018-3 Ltd. (Oct-18)506,110
 469
 1,836
 2,305
Total$1,881,467
 $1,752
 $11,190
 $12,942
See note 16.

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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

12.    Other Comprehensive Income (Loss)

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):
 Amounts Reclassified from AOCI Amounts Reclassified from AOCI
 Consolidated Statement of Income Three Months Ended Consolidated Statement of Income Three Months Ended
Details About Line Item That Includes March 31, Line Item That Includes March 31,
AOCI Components Reclassification 2018 2017 Reclassification 2019 2018
        
Unrealized appreciation on available-for-sale investmentsUnrealized appreciation on available-for-sale investments    Unrealized appreciation on available-for-sale investments    
 Net realized gains (losses) $(67,586) $7,813
 Net realized gains (losses) $11,709
 $(67,586)
 Other-than-temporary impairment losses (162) (1,807) Other-than-temporary impairment losses (1,309) (162)
 Total before tax (67,748) 6,006
 Total before tax 10,400
 (67,748)
 Income tax (expense) benefit 5,287
 (962) Income tax (expense) benefit (179) 5,287
 Net of tax $(62,461) $5,044
 Net of tax $10,221
 $(62,461)
Before Tax Amount Tax Expense (Benefit) Net of Tax Amount
Three Months Ended March 31, 2019     
Unrealized appreciation (decline) in value of investments:     
Unrealized holding gains (losses) arising during period$254,990
 $29,103
 $225,887
Portion of other-than-temporary impairment losses recognized in other comprehensive income (loss)
 
 
Less reclassification of net realized gains (losses) included in net income10,400
 179
 10,221
Foreign currency translation adjustments5,644
 128
 5,516
Other comprehensive income (loss)$250,234
 $29,052
 $221,182
Before Tax Amount Tax Expense (Benefit) Net of Tax Amount     
Three Months Ended March 31, 2018          
Unrealized appreciation (decline) in value of investments:          
Unrealized holding gains (losses) arising during period$(189,943) $(23,266) $(166,677)$(189,943) $(23,266) $(166,677)
Portion of other-than-temporary impairment losses recognized in other comprehensive income (loss)
 
 

 
 
Less reclassification of net realized gains (losses) included in net income(67,748) (5,287) (62,461)(67,748) (5,287) (62,461)
Foreign currency translation adjustments1,432
 150
 1,282
1,432
 150
 1,282
Other comprehensive income (loss)$(120,763) $(17,829) $(102,934)$(120,763) $(17,829) $(102,934)
     
Three Months Ended March 31, 2017     
Unrealized appreciation (decline) in value of investments:     
Unrealized holding gains (losses) arising during period$111,472
 $10,680
 $100,792
Portion of other-than-temporary impairment losses recognized in other comprehensive income (loss)
 
 
Less reclassification of net realized gains (losses) included in net income6,006
 962
 5,044
Foreign currency translation adjustments3,165
 41
 3,124
Other comprehensive income (loss)$108,631
 $9,759
 $98,872


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13.     Guarantor Financial Information

The following tables present condensed financial information for Arch Capital, Arch Capital Group (U.S.) Inc. (“Arch-U.S.”), a 100% owned subsidiary of Arch Capital, and Arch Capital’s other subsidiaries.

March 31, 2018
March 31, 2019
Condensed Consolidating Balance SheetCondensed Consolidating Balance SheetArch Capital (Parent Guarantor) Arch-U.S. (Subsidiary Issuer) Other Arch Capital Subsidiaries Consolidating Adjustments and Eliminations Arch Capital ConsolidatedCondensed Consolidating Balance SheetArch Capital (Parent Guarantor) Arch-U.S. (Subsidiary Issuer) Other Arch Capital Subsidiaries Consolidating Adjustments and Eliminations Arch Capital Consolidated
AssetsAssets         Assets         
Total investmentsTotal investments$3,694
 $71,440
 $21,680,276
 $(14,700) $21,740,710
Total investments$40
 $464,872
 $21,877,667
 $(14,700) $22,327,879
CashCash7,109
 79,577
 594,205
 
 680,891
Cash12,065
 40,716
 580,319
 
 633,100
Investments in subsidiariesInvestments in subsidiaries9,439,099
 4,093,247
 
 (13,532,346) 
Investments in subsidiaries10,403,671
 4,249,796
 
 (14,653,467) 
Due from subsidiaries and affiliatesDue from subsidiaries and affiliates1,275
 1,274
 1,869,654
 (1,872,203) 
Due from subsidiaries and affiliates
 2
 1,883,339
 (1,883,341) 
Premiums receivablePremiums receivable
 
 1,933,663
 (558,583) 1,375,080
Premiums receivable
 
 2,226,386
 (641,704) 1,584,682
Reinsurance recoverable on unpaid and paid losses and loss adjustment expensesReinsurance recoverable on unpaid and paid losses and loss adjustment expenses
 
 8,471,116
 (5,960,997) 2,510,119
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses
 
 8,658,803
 (5,558,980) 3,099,823
Contractholder receivablesContractholder receivables
 
 2,002,469
 
 2,002,469
Contractholder receivables
 
 2,087,720
 
 2,087,720
Ceded unearned premiumsCeded unearned premiums
 
 1,826,395
 (829,623) 996,772
Ceded unearned premiums
 
 1,951,746
 (852,165) 1,099,581
Deferred acquisition costsDeferred acquisition costs
 
 669,631
 (73,367) 596,264
Deferred acquisition costs
 
 669,145
 (71,619) 597,526
Goodwill and intangible assetsGoodwill and intangible assets
 
 626,004
 
 626,004
Goodwill and intangible assets
 
 659,215
 
 659,215
Other assetsOther assets13,262
 37,825
 5,867,259
 (4,314,700) 1,603,646
Other assets21,943
 46,146
 2,026,386
 (206,964) 1,887,511
Total assets$9,464,439
 $4,283,363
 $45,540,672
 $(27,156,519) $32,131,955
Total assets$10,437,719
 $4,801,532
 $42,620,726
 $(23,882,940) $33,977,037
                    
LiabilitiesLiabilities         Liabilities         
Reserve for losses and loss adjustment expensesReserve for losses and loss adjustment expenses$
 $
 $17,193,367
 $(5,697,162) $11,496,205
Reserve for losses and loss adjustment expenses$
 $
 $17,335,960
 $(5,325,919) $12,010,041
Unearned premiumsUnearned premiums
 
 4,714,920
 (829,623) 3,885,297
Unearned premiums
 
 4,888,284
 (852,165) 4,036,119
Reinsurance balances payableReinsurance balances payable
 
 938,310
 (558,582) 379,728
Reinsurance balances payable
 
 1,094,762
 (641,704) 453,058
Contractholder payablesContractholder payables
 
 2,002,469
 
 2,002,469
Contractholder payables
 
 2,087,720
 
 2,087,720
Collateral held for insured obligationsCollateral held for insured obligations
 
 253,709
 
 253,709
Collateral held for insured obligations
 
 232,411
 
 232,411
Senior notesSenior notes297,076
 494,646
 941,321
 
 1,733,043
Senior notes297,175
 494,749
 941,770
 
 1,733,694
Revolving credit agreement borrowingsRevolving credit agreement borrowings
 
 755,294
 
 755,294
Revolving credit agreement borrowings
 
 488,612
 
 488,612
Due to subsidiaries and affiliatesDue to subsidiaries and affiliates1,344
 542,045
 1,328,814
 (1,872,203) 
Due to subsidiaries and affiliates
 542,045
 1,341,296
 (1,883,341) 
Other liabilitiesOther liabilities15,647
 72,052
 5,979,919
 (4,651,905) 1,415,713
Other liabilities25,948
 34,073
 2,227,945
 (511,644) 1,776,322
Total liabilities314,067
 1,108,743
 34,108,123
 (13,609,475) 21,921,458
Total liabilities323,123
 1,070,867
 30,638,760
 (9,214,773) 22,817,977
                    
Redeemable noncontrolling interestsRedeemable noncontrolling interests
 
 220,713
 (14,700) 206,013
Redeemable noncontrolling interests
 
 221,083
 (14,700) 206,383
                    
Shareholders’ EquityShareholders’ Equity         Shareholders’ Equity         
Total shareholders’ equity available to ArchTotal shareholders’ equity available to Arch9,150,372
 3,174,620
 10,357,724
 (13,532,344) 9,150,372
Total shareholders’ equity available to Arch10,114,596
 3,730,665
 10,922,802
 (14,653,467) 10,114,596
Non-redeemable noncontrolling interestsNon-redeemable noncontrolling interests
 
 854,112
 
 854,112
Non-redeemable noncontrolling interests
 
 838,081
 
 838,081
Total shareholders’ equity9,150,372
 3,174,620
 11,211,836
 (13,532,344) 10,004,484
Total shareholders’ equity10,114,596
 3,730,665
 11,760,883
 (14,653,467) 10,952,677
                   
Total liabilities, noncontrolling interests and shareholders’ equity$9,464,439
 $4,283,363
 $45,540,672
 $(27,156,519) $32,131,955
Total liabilities, noncontrolling interests and shareholders’ equity$10,437,719
 $4,801,532
 $42,620,726
 $(23,882,940) $33,977,037






ARCH CAPITAL 333520182019 FIRST QUARTER FORM 10-Q

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


 December 31, 2017 December 31, 2018
Condensed Consolidating Balance SheetCondensed Consolidating Balance SheetArch Capital (Parent Guarantor) Arch-U.S. (Subsidiary Issuer) Other Arch Capital Subsidiaries Consolidating Adjustments and Eliminations Arch Capital ConsolidatedCondensed Consolidating Balance SheetArch Capital (Parent Guarantor) Arch-U.S. (Subsidiary Issuer) Other Arch Capital Subsidiaries Consolidating Adjustments and Eliminations Arch Capital Consolidated
AssetsAssets         Assets         
Total investmentsTotal investments$96,540
 $46,281
 $21,711,891
 $(14,700) $21,840,012
Total investments$104
 $452,674
 $21,307,206
 $(14,700) $21,745,284
CashCash9,997
 30,380
 565,822
 
 606,199
Cash6,125
 5,940
 634,491
 
 646,556
Investments in subsidiariesInvestments in subsidiaries9,396,621
 4,097,765
 
 (13,494,386) 
Investments in subsidiaries9,735,256
 3,999,243
 
 (13,734,499) 
Due from subsidiaries and affiliatesDue from subsidiaries and affiliates394
 
 1,828,864
 (1,829,258) 
Due from subsidiaries and affiliates9
 2
 1,802,686
 (1,802,697) 
Premiums receivablePremiums receivable
 
 2,967,701
 (1,832,452) 1,135,249
Premiums receivable
 
 1,834,389
 (535,239) 1,299,150
Reinsurance recoverable on unpaid and paid losses and loss adjustment expensesReinsurance recoverable on unpaid and paid losses and loss adjustment expenses
 
 8,442,192
 (5,902,049) 2,540,143
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses
 
 8,618,660
 (5,699,288) 2,919,372
Contractholder receivablesContractholder receivables
 
 1,978,414
 
 1,978,414
Contractholder receivables
 
 2,079,111
 
 2,079,111
Ceded unearned premiumsCeded unearned premiums
 
 2,165,789
 (1,239,178) 926,611
Ceded unearned premiums
 
 1,730,262
 (754,793) 975,469
Deferred acquisition costsDeferred acquisition costs
 
 693,053
 (157,229) 535,824
Deferred acquisition costs
 
 618,535
 (48,961) 569,574
Goodwill and intangible assetsGoodwill and intangible assets
 
 652,611
 
 652,611
Goodwill and intangible assets
 
 634,920
 
 634,920
Other assetsOther assets13,176
 49,585
 1,860,505
 (86,671) 1,836,595
Other assets12,588
 80,949
 1,466,438
 (211,082) 1,348,893
Total assets$9,516,728
 $4,224,011
 $42,866,842
 $(24,555,923) $32,051,658
Total assets$9,754,082
 $4,538,808
 $40,726,698
 $(22,801,259) $32,218,329
                    
LiabilitiesLiabilities         Liabilities         
Reserve for losses and loss adjustment expensesReserve for losses and loss adjustment expenses$
 $
 $17,236,401
 $(5,852,609) $11,383,792
Reserve for losses and loss adjustment expenses$
 $
 $17,345,142
 $(5,491,845) $11,853,297
Unearned premiumsUnearned premiums
 
 4,861,491
 (1,239,177) 3,622,314
Unearned premiums
 
 4,508,429
 (754,793) 3,753,636
Reinsurance balances payableReinsurance balances payable
 
 2,155,947
 (1,832,451) 323,496
Reinsurance balances payable
 
 928,346
 (535,239) 393,107
Contractholder payablesContractholder payables
 
 1,978,414
 
 1,978,414
Contractholder payables
 
 2,079,111
 
 2,079,111
Collateral held for insured obligationsCollateral held for insured obligations
 
 240,183
 
 240,183
Collateral held for insured obligations
 
 236,630
 
 236,630
Senior notesSenior notes297,053
 494,621
 941,210
 
 1,732,884
Senior notes297,150
 494,723
 941,655
 
 1,733,528
Revolving credit agreement borrowingsRevolving credit agreement borrowings
 
 816,132
 
 816,132
Revolving credit agreement borrowings
 
 455,682
 
 455,682
Due to subsidiaries and affiliatesDue to subsidiaries and affiliates235
 536,919
 1,292,104
 (1,829,258) 
Due to subsidiaries and affiliates
 536,805
 1,265,892
 (1,802,697) 
Other liabilitiesOther liabilities22,838
 29,317
 1,949,696
 (293,343) 1,708,508
Other liabilities17,105
 26,270
 1,699,768
 (467,484) 1,275,659
Total liabilities320,126
 1,060,857
 31,471,578
 (11,046,838) 21,805,723
Total liabilities314,255
 1,057,798
 29,460,655
 (9,052,058) 21,780,650
                    
Redeemable noncontrolling interestsRedeemable noncontrolling interests
 
 220,622
 (14,700) 205,922
Redeemable noncontrolling interests
 
 220,992
 (14,700) 206,292
                    
Shareholders’ EquityShareholders’ Equity         Shareholders’ Equity         
Total shareholders’ equity available to ArchTotal shareholders’ equity available to Arch9,196,602
 3,163,154
 10,331,231
 (13,494,385) 9,196,602
Total shareholders’ equity available to Arch9,439,827
 3,481,010
 10,253,491
 (13,734,501) 9,439,827
Non-redeemable noncontrolling interestsNon-redeemable noncontrolling interests
 
 843,411
 
 843,411
Non-redeemable noncontrolling interests
 
 791,560
 
 791,560
Total shareholders’ equity9,196,602
 3,163,154
 11,174,642
 (13,494,385) 10,040,013
Total shareholders’ equity9,439,827
 3,481,010
 11,045,051
 (13,734,501) 10,231,387
                   
Total liabilities, noncontrolling interests and shareholders’ equity$9,516,728
 $4,224,011
 $42,866,842
 $(24,555,923) $32,051,658
Total liabilities, noncontrolling interests and shareholders’ equity$9,754,082
 $4,538,808
 $40,726,698
 $(22,801,259) $32,218,329


ARCH CAPITAL 343620182019 FIRST QUARTER FORM 10-Q

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


 Three Months Ended March 31, 2018 Three Months Ended March 31, 2019
Condensed Consolidating Statement of Income and Comprehensive IncomeCondensed 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 ConsolidatedCondensed 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
RevenuesRevenues         Revenues         
Net premiums earnedNet premiums earned$
 $
 $1,234,899
 $
 $1,234,899
Net premiums earned$
 $
 $1,368,866
 $
 $1,368,866
Net investment incomeNet investment income20
 258
 148,767
 (22,321) 126,724
Net investment income46
 3,679
 175,672
 (22,448) 156,949
Net realized gains (losses)Net realized gains (losses)29
 (7) (111,020) 
 (110,998)Net realized gains (losses)
 8,518
 138,053
 (5,006) 141,565
Net impairment losses recognized in earningsNet impairment losses recognized in earnings
 
 (162) 
 (162)Net impairment losses recognized in earnings
 
 (1,309) 
 (1,309)
Other underwriting incomeOther underwriting income
 
 5,349
 
 5,349
Other underwriting income
 
 8,825
 
 8,825
Equity in net income (loss) of investment funds accounted for using the equity methodEquity in net income (loss) of investment funds accounted for using the equity method
 
 28,069
 
 28,069
Equity in net income (loss) of investment funds accounted for using the equity method
 
 46,867
 
 46,867
Other income (loss)Other income (loss)(78) 
 152
 
 74
Other income (loss)(239) 
 1,322
 
 1,083
Total revenues(29) 251
 1,306,054
 (22,321) 1,283,955
Total revenues(193) 12,197
 1,738,296
 (27,454) 1,722,846
                    
ExpensesExpenses         Expenses         
Losses and loss adjustment expensesLosses and loss adjustment expenses
 
 636,860
 
 636,860
Losses and loss adjustment expenses
 
 718,532
 
 718,532
Acquisition expensesAcquisition expenses
 
 191,376
 
 191,376
Acquisition expenses
 
 197,848
 
 197,848
Other operating expensesOther operating expenses
 
 175,015
 
 175,015
Other operating expenses
 
 201,163
 
 201,163
Corporate expensesCorporate expenses16,169
 289
 (1,146) 
 15,312
Corporate expenses16,307
 2,166
 (511) 
 17,962
Amortization of intangible assetsAmortization of intangible assets
 
 26,736
 
 26,736
Amortization of intangible assets
 
 20,417
 
 20,417
Interest expenseInterest expense5,536
 11,926
 35,172
 (21,998) 30,636
Interest expense5,538
 11,951
 33,706
 (22,130) 29,065
Net foreign exchange (gains) lossesNet foreign exchange (gains) losses29
 
 16,436
 3,256
 19,721
Net foreign exchange (gains) losses2
 
 (123) (3,404) (3,525)
Total expenses21,734
 12,215
 1,080,449
 (18,742) 1,095,656
Total expenses21,847
 14,117
 1,171,032
 (25,534) 1,181,462
                    
Income (loss) before income taxesIncome (loss) before income taxes(21,763) (11,964) 225,605
 (3,579) 188,299
Income (loss) before income taxes(22,040) (1,920) 567,264
 (1,920) 541,384
Income tax (expense) benefitIncome tax (expense) benefit
 2,951
 (24,866) 
 (21,915)Income tax (expense) benefit
 543
 (46,429) 
 (45,886)
Income (loss) before equity in net income of subsidiariesIncome (loss) before equity in net income of subsidiaries(21,763) (9,013) 200,739
 (3,579) 166,384
Income (loss) before equity in net income of subsidiaries(22,040) (1,377) 520,835
 (1,920) 495,498
Equity in net income of subsidiariesEquity in net income of subsidiaries172,186
 86,420
 
 (258,606) 
Equity in net income of subsidiaries470,568
 136,554
 
 (607,122) 
Net incomeNet income150,423
 77,407
 200,739
 (262,185) 166,384
Net income448,528
 135,177
 520,835
 (609,042) 495,498
Net (income) loss attributable to noncontrolling interestsNet (income) loss attributable to noncontrolling interests
 
 (16,284) 323
 (15,961)Net (income) loss attributable to noncontrolling interests
 
 (47,289) 319
 (46,970)
Net income available to ArchNet income available to Arch150,423
 77,407
 184,455
 (261,862) 150,423
Net income available to Arch448,528
 135,177
 473,546
 (608,723) 448,528
Preferred dividendsPreferred dividends(10,437) 
 
 
 (10,437)Preferred dividends(10,403) 
 
 
 (10,403)
Loss on redemption of preferred shares(2,710) 
 
 
 (2,710)
Net income available to Arch common shareholdersNet income available to Arch common shareholders$137,276
 $77,407
 $184,455
 $(261,862) $137,276
Net income available to Arch common shareholders$438,125
 $135,177
 $473,546
 $(608,723) $438,125
                    
Comprehensive income available to ArchComprehensive income available to Arch$48,162
 $6,537
 $79,081
 $(85,618) $48,162
Comprehensive income available to Arch$665,571
 $238,156
 $688,540
 $(926,696) $665,571


ARCH CAPITAL 353720182019 FIRST QUARTER FORM 10-Q

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


 Three Months Ended March 31, 2017 Three Months Ended March 31, 2018
Condensed Consolidating Statement of Income and Comprehensive IncomeCondensed 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 ConsolidatedCondensed 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
RevenuesRevenues         Revenues         
Net premiums earnedNet premiums earned$
 $
 $1,117,017
 $
 $1,117,017
Net premiums earned$
 $
 $1,234,899
 $
 $1,234,899
Net investment incomeNet investment income5
 816
 137,981
 (20,928) 117,874
Net investment income20
 258
 148,767
 (22,321) 126,724
Net realized gains (losses)Net realized gains (losses)
 
 34,153
 
 34,153
Net realized gains (losses)29
 (7) (111,020) 
 (110,998)
Net impairment losses recognized in earningsNet impairment losses recognized in earnings
 
 (1,807) 
 (1,807)Net impairment losses recognized in earnings
 
 (162) 
 (162)
Other underwriting incomeOther underwriting income
 
 4,633
 
 4,633
Other underwriting income
 
 5,349
 
 5,349
Equity in net income (loss) of investment funds accounted for using the equity methodEquity in net income (loss) of investment funds accounted for using the equity method
 
 48,088
 
 48,088
Equity in net income (loss) of investment funds accounted for using the equity method
 
 28,069
 
 28,069
Other income (loss)Other income (loss)171
 
 (953) 
 (782)Other income (loss)(78) 
 152
 
 74
Total revenues176
 816
 1,339,112
 (20,928) 1,319,176
Total revenues(29) 251
 1,306,054
 (22,321) 1,283,955
                    
ExpensesExpenses         Expenses         
Losses and loss adjustment expensesLosses and loss adjustment expenses
 
 552,570
 
 552,570
Losses and loss adjustment expenses
 
 636,860
 
 636,860
Acquisition expensesAcquisition expenses
 
 182,289
 
 182,289
Acquisition expenses
 
 191,376
 
 191,376
Other operating expensesOther operating expenses
 
 174,719
 
 174,719
Other operating expenses
 
 175,015
 
 175,015
Corporate expensesCorporate expenses17,247
 2,008
 8,537
 
 27,792
Corporate expenses16,169
 289
 (1,146) 
 15,312
Amortization of intangible assetsAmortization of intangible assets
 
 31,294
 
 31,294
Amortization of intangible assets
 
 26,736
 
 26,736
Interest expenseInterest expense6,015
 11,930
 31,336
 (20,605) 28,676
Interest expense5,536
 11,926
 35,172
 (21,998) 30,636
Net foreign exchange (gains) lossesNet foreign exchange (gains) losses
 
 15,348
 4,056
 19,404
Net foreign exchange (gains) losses29
 
 16,436
 3,256
 19,721
Total expenses23,262
 13,938
 996,093
 (16,549) 1,016,744
Total expenses21,734
 12,215
 1,080,449
 (18,742) 1,095,656
                    
Income (loss) before income taxesIncome (loss) before income taxes(23,086) (13,122) 343,019
 (4,379) 302,432
Income (loss) before income taxes(21,763) (11,964) 225,605
 (3,579) 188,299
Income tax (expense) benefitIncome tax (expense) benefit
 4,873
 (33,270) 
 (28,397)Income tax (expense) benefit
 2,951
 (24,866) 
 (21,915)
Income (loss) before equity in net income of subsidiariesIncome (loss) before equity in net income of subsidiaries(23,086) (8,249) 309,749
 (4,379) 274,035
Income (loss) before equity in net income of subsidiaries(21,763) (9,013) 200,739
 (3,579) 166,384
Equity in net income of subsidiariesEquity in net income of subsidiaries276,213
 77,373
 
 (353,586) 
Equity in net income of subsidiaries172,186
 86,420
 
 (258,606) 
Net income253,127
 69,124
 309,749
 (357,965) 274,035
Net income (loss)Net income (loss)150,423
 77,407
 200,739
 (262,185) 166,384
Net (income) loss attributable to noncontrolling interestsNet (income) loss attributable to noncontrolling interests
 
 (21,231) 323
 (20,908)Net (income) loss attributable to noncontrolling interests
 
 (16,284) 323
 (15,961)
Net income available to Arch253,127
 69,124
 288,518
 (357,642) 253,127
Net income (loss) available to ArchNet income (loss) available to Arch150,423
 77,407
 184,455
 (261,862) 150,423
Preferred dividendsPreferred dividends(11,218) 
 
 
 (11,218)Preferred dividends(10,437) 
 
 
 (10,437)
Net income available to Arch common shareholders$241,909
 $69,124
 $288,518
 $(357,642) $241,909
Loss on redemption of preferred sharesLoss on redemption of preferred shares(2,710) 
 
 
 (2,710)
Net income (loss) available to Arch common shareholdersNet income (loss) available to Arch common shareholders$137,276
 $77,407
 $184,455
 $(261,862) $137,276
                    
Comprehensive income available to ArchComprehensive income available to Arch$351,991
 $87,781
 $224,173
 $(311,954) $351,991
Comprehensive income available to Arch$48,162
 $6,537
 $79,081
 $(85,618) $48,162




ARCH CAPITAL 363820182019 FIRST QUARTER FORM 10-Q

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


 Three Months Ended March 31, 2018 Three Months Ended March 31, 2019
Condensed Consolidating Statement
of Cash Flows
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
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 ActivitiesOperating Activities         Operating Activities         
Net Cash Provided By (Used For) Operating Activities$13,315
 $74,248
 $419,956
 $(107,339) $400,180
Net Cash Provided By (Used For) Operating Activities$23,171
 $37,324
 $234,706
 $(59,803) $235,398
Investing ActivitiesInvesting Activities         Investing Activities         
Purchases of fixed maturity investmentsPurchases of fixed maturity investments
 (26,501) (10,050,206) 395,440
 (9,681,267)Purchases of fixed maturity investments
 (38,678) (7,405,792) 
 (7,444,470)
Purchases of equity securitiesPurchases of equity securities
 
 (377,000) 
 (377,000)Purchases of equity securities
 (56,062) (219,992) 72,244
 (203,810)
Purchases of other investmentsPurchases of other investments
 
 (522,454) 
 (522,454)Purchases of other investments
 (17,500) (307,093) 
 (324,593)
Proceeds from the sales of fixed maturity investmentsProceeds from the sales of fixed maturity investments
 16,997
 9,057,590
 (395,440) 8,679,147
Proceeds from the sales of fixed maturity investments
 75,583
 7,001,007
 
 7,076,590
Proceeds from the sales of equity securitiesProceeds from the sales of equity securities
 
 291,311
 
 291,311
Proceeds from the sales of equity securities
 
 167,261
 (72,244) 95,017
Proceeds from the sales, redemptions and maturities of other investmentsProceeds from the sales, redemptions and maturities of other investments
 
 436,566
 
 436,566
Proceeds from the sales, redemptions and maturities of other investments
 
 216,483
 
 216,483
Proceeds from redemptions and maturities of fixed maturity investmentsProceeds from redemptions and maturities of fixed maturity investments
 
 287,031
 
 287,031
Proceeds from redemptions and maturities of fixed maturity investments
 
 100,424
 
 100,424
Net settlements of derivative instrumentsNet settlements of derivative instruments
 
 36,070
 
 36,070
Net settlements of derivative instruments
 
 29,737
 
 29,737
Net (purchases) sales of short-term investmentsNet (purchases) sales of short-term investments92,885
 (15,547) 517,980
 
 595,318
Net (purchases) sales of short-term investments63
 34,109
 258,429
 
 292,601
Change in cash collateral related to securities lendingChange in cash collateral related to securities lending
 
 161,567
 
 161,567
Change in cash collateral related to securities lending
 
 (29,618) 
 (29,618)
Contributions to subsidiariesContributions to subsidiaries
 
 (2,970) 2,970
 
Contributions to subsidiaries(2,121) 
 (53,906) 56,027
 
Issuance of intercompany loansIssuance of intercompany loans
 
 (43,647) 43,647
 
Purchases of fixed assetsPurchases of fixed assets(13) 
 (4,227) 
 (4,240)Purchases of fixed assets
 
 (9,423) 
 (9,423)
OtherOther
 
 40,037
 
 40,037
Other
 
 (93,731) 
 (93,731)
Net Cash Provided By (Used For) Investing Activities92,872
 (25,051) (128,705) 2,970
 (57,914)Net Cash Provided By (Used For) Investing Activities(2,058) (2,548) (389,861) 99,674
 (294,793)
Financing ActivitiesFinancing Activities         Financing Activities         
Redemption of preferred shares(92,555) 
 
 
 (92,555)
Purchases of common shares under share repurchase programPurchases of common shares under share repurchase program(3,299) 
 
 
 (3,299)Purchases of common shares under share repurchase program(2,871) 
 
 
 (2,871)
Proceeds from common shares issued, netProceeds from common shares issued, net(2,779) 
 2,970
 (2,970) (2,779)Proceeds from common shares issued, net(1,901) 
 56,027
 (56,027) (1,901)
Proceeds from intercompany borrowingsProceeds from intercompany borrowings
 
 43,647
 (43,647) 
Proceeds from borrowingsProceeds from borrowings
 
 39,585
 
 39,585
Proceeds from borrowings
 
 59,000
 
 59,000
Repayments of borrowingsRepayments of borrowings
 
 (101,000) 
 (101,000)Repayments of borrowings
 
 (26,038) 
 (26,038)
Change in cash collateral related to securities lendingChange in cash collateral related to securities lending
 
 (161,567) 
 (161,567)Change in cash collateral related to securities lending
 
 29,618
 
 29,618
Dividends paid to redeemable noncontrolling interestsDividends paid to redeemable noncontrolling interests
 
 (4,816) 319
 (4,497)Dividends paid to redeemable noncontrolling interests
 
 (4,816) 319
 (4,497)
Dividends paid to parent (1)Dividends paid to parent (1)
 
 (107,020) 107,020
 
Dividends paid to parent (1)
 
 (59,484) 59,484
 
OtherOther
 
 (2,356) 
 (2,356)Other
 
 (1,389) 
 (1,389)
Preferred dividends paidPreferred dividends paid(10,437) 
 
 
 (10,437)Preferred dividends paid(10,403) 
 
 
 (10,403)
Net Cash Provided By (Used For) Financing Activities(109,070) 
 (334,204) 104,369
 (338,905)Net Cash Provided By (Used For) Financing Activities(15,175) 
 96,565
 (39,871) 41,519
Effects of exchange rates changes on foreign currency cash and restricted cashEffects of exchange rates changes on foreign currency cash and restricted cash(4) 
 1,615
 
 1,611
Effects of exchange rates changes on foreign currency cash and restricted cash
 
 3,449
 
 3,449
Increase (decrease) in cash and restricted cashIncrease (decrease) in cash and restricted cash(2,887) 49,197
 (41,338) 
 4,972
Increase (decrease) in cash and restricted cash5,938
 34,776
 (55,141) 
 (14,427)
Cash and restricted cash, beginning of yearCash and restricted cash, beginning of year10,052
 30,380
 686,852
 
 727,284
Cash and restricted cash, beginning of year6,159
 5,940
 712,544
 
 724,643
Cash and restricted cash, end of periodCash and restricted cash, end of period$7,165
 $79,577
 $645,514
 $
 $732,256
Cash and restricted cash, end of period$12,097
 $40,716
 $657,403
 $
 $710,216

(1)     Dividends received by parent are included in net cash provided by (used for) operating activities.


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


 Three Months Ended March 31, 2017 Three Months Ended March 31, 2018
Condensed Consolidating Statement
of Cash Flows
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
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 ActivitiesOperating Activities         Operating Activities         
Net Cash Provided By (Used For) Operating Activities$701
 $(3,257) $239,628
 $(53,414) $183,658
Net Cash Provided By (Used For) Operating Activities$13,315
 $74,248
 $419,956
 $(107,339) $400,180
Investing ActivitiesInvesting Activities         Investing Activities         
Purchases of fixed maturity investmentsPurchases of fixed maturity investments
 
 (10,476,918) 
 (10,476,918)Purchases of fixed maturity investments
 (26,501) (10,050,206) 395,440
 (9,681,267)
Purchases of equity securitiesPurchases of equity securities
 
 (143,833) 
 (143,833)Purchases of equity securities
 
 (377,000) 
 (377,000)
Purchases of other investmentsPurchases of other investments
 
 (427,039) 
 (427,039)Purchases of other investments
 
 (522,454) 
 (522,454)
Proceeds from the sales of fixed maturity investmentsProceeds from the sales of fixed maturity investments
 
 10,386,746
 
 10,386,746
Proceeds from the sales of fixed maturity investments
 16,997
 9,057,590
 (395,440) 8,679,147
Proceeds from the sales of equity securitiesProceeds from the sales of equity securities
 
 253,347
 
 253,347
Proceeds from the sales of equity securities
 
 291,311
 
 291,311
Proceeds from the sales, redemptions and maturities of other investmentsProceeds from the sales, redemptions and maturities of other investments
 
 317,518
 
 317,518
Proceeds from the sales, redemptions and maturities of other investments
 
 436,566
 
 436,566
Proceeds from redemptions and maturities of fixed maturity investmentsProceeds from redemptions and maturities of fixed maturity investments
 
 174,718
 
 174,718
Proceeds from redemptions and maturities of fixed maturity investments
 
 287,031
 
 287,031
Net settlements of derivative instrumentsNet settlements of derivative instruments
 
 (3,921) 
 (3,921)Net settlements of derivative instruments
 
 36,070
 
 36,070
Net (purchases) sales of short-term investmentsNet (purchases) sales of short-term investments2,356
 (43) (400,164) 
 (397,851)Net (purchases) sales of short-term investments92,885
 (15,547) 517,980
 
 595,318
Change in cash collateral related to securities lendingChange in cash collateral related to securities lending
 
 180,946
 
 180,946
Change in cash collateral related to securities lending
 
 161,567
 
 161,567
Contributions to subsidiariesContributions to subsidiaries
 (25,900) (60,050) 85,950
 
Contributions to subsidiaries
 
 (2,970) 2,970
 
Purchases of fixed assetsPurchases of fixed assets
 (10) (5,184) 
 (5,194)Purchases of fixed assets(13) 
 (4,227) 
 (4,240)
OtherOther20,641
 
 23,068
 (20,641) 23,068
Other
 
 40,037
 
 40,037
Net Cash Provided By (Used For) Investing Activities22,997
 (25,953) (180,766) 65,309
 (118,413)Net Cash Provided By (Used For) Investing Activities92,872
 (25,051) (128,705) 2,970
 (57,914)
Financing ActivitiesFinancing Activities         Financing Activities         
Redemption of preferred sharesRedemption of preferred shares(92,555) 
 
 
 (92,555)
Purchases of common shares under share repurchase programPurchases of common shares under share repurchase program(3,299) 
 
 
 (3,299)
Proceeds from common shares issued, netProceeds from common shares issued, net(3,990) 
 85,950
 (85,950) (3,990)Proceeds from common shares issued, net(2,779) 
 2,970
 (2,970) (2,779)
Proceeds from borrowingsProceeds from borrowings
 
 39,585
 
 39,585
Repayments of borrowingsRepayments of borrowings
 
 (22,000) 
 (22,000)Repayments of borrowings
 
 (101,000) 
 (101,000)
Change in cash collateral related to securities lendingChange in cash collateral related to securities lending
 
 (180,946) 
 (180,946)Change in cash collateral related to securities lending
 
 (161,567) 
 (161,567)
Dividends paid to redeemable noncontrolling interestsDividends paid to redeemable noncontrolling interests
 
 (4,816) 319
 (4,497)Dividends paid to redeemable noncontrolling interests
 
 (4,816) 319
 (4,497)
Dividends paid to parent (1)Dividends paid to parent (1)
 
 (53,095) 53,095
 
Dividends paid to parent (1)
 
 (107,020) 107,020
 
OtherOther
 
 (25,659) 20,641
 (5,018)Other
 
 (2,356) 
 (2,356)
Preferred dividends paidPreferred dividends paid(11,218) 
 
 
 (11,218)Preferred dividends paid(10,437) 
 
 
 (10,437)
Net Cash Provided By (Used For) Financing Activities(15,208) 
 (200,566) (11,895) (227,669)Net Cash Provided By (Used For) Financing Activities(109,070) 
 (334,204) 104,369
 (338,905)
Effects of exchange rates changes on foreign currency cash and restricted cashEffects of exchange rates changes on foreign currency cash and restricted cash
 
 2,618
 
 2,618
Effects of exchange rates changes on foreign currency cash and restricted cash(4) 
 1,615
 
 1,611
Increase (decrease) in cash and restricted cashIncrease (decrease) in cash and restricted cash8,490
 (29,210) (139,086) 
 (159,806)Increase (decrease) in cash and restricted cash(2,887) 49,197
 (41,338) 
 4,972
Cash and restricted cash, beginning of yearCash and restricted cash, beginning of year1,738
 71,955
 895,876
 
 969,569
Cash and restricted cash, beginning of year10,052
 30,380
 686,852
 
 727,284
Cash and restricted cash, end of periodCash and restricted cash, end of period$10,228
 $42,745
 $756,790
 $
 $809,763
Cash and restricted cash, end of period$7,165
 $79,577
 $645,514
 $
 $732,256

(1)     Dividends received by parent are included in net cash provided by (used for) operating activities.




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

14.    Income Taxes

The Company’s income tax provision on income before income taxes resulted in an expense of 11.6%8.5% for the three months ended March 31, 2018,2019, compared to an expense of 9.4%11.6% for the 20172018 period. The Company’s effective tax rate, which is based upon the expected annual effective tax rate, may fluctuate from period to period based on the relative mix of income or loss reported by jurisdiction and the varying tax rates in each jurisdiction. For interim reporting purposes, the Company has calculated its annual effective tax rate for the full year of 20182019 by treating any excess tax benefits that arise from the accounting for stock based compensation as a discrete item. As such, this amount is not included when projecting the Company’s full year annual effective tax rate but rather is accounted for at the U.S. Federal statutory rate of 21% after applying the projected full year annual effective tax rate to actual three-monththree months results before the discrete item. The impact of the discrete item resulted in a benefit of 0.7%0.5% for the three months ended March 31, 2018.
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 and Jobs Act of 2017 (“Tax Cuts Act”). Pursuant to the guidance within SAB 118, the Company’s remeasurement of its deferred taxes at December 31, 2017 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 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 credits. The Company’s income tax provision for the three months ended March 31, 2018 does not include any adjustments to the provisional effects recorded at December 31, 2017.

2019.
The Company had a net deferred tax assetliability of $28.1$18.9 million at March 31, 2018,2019, compared to $39.6a net deferred tax asset of $22.5 million at December 31, 2017.2018. The change is primarily a result of the appreciation of the Company’s fixed maturities from December 31, 2018 to March 31, 2019. In addition, the Company recovered $49.9$32.7 million and paid $0.7$49.9 million of income taxes for the three months ended March 31, 2019 and 2018, and 2017, respectively.
15.    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 March 31, 2018,2019, 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.
16.    Subsequent EventsEvent

Bellemeade 2018-1
In April 2018,2019, the Company’s first-lien U.S. mortgage insurance subsidiaries entered into an aggregate excess of loss reinsurance agreement with Bellemeade Re 2018-12019-2 Ltd. (“Bellemeade 2018-1”2019-2”), a special purpose reinsurance company domiciled in Bermuda. The Bellemeade 2018-12019-2 agreement provides for up to $374.5$621.0 million of aggregate excess of loss reinsurance coverage at inception in excess of $168.5$221.8 million of aggregate losses for new delinquencies on a portfolio of in-force policies primarily issued from July through Decemberin the second half of 2017.2018. The coverage amount decreases over a ten-year period as the underlying covered mortgages amortize.
Bellemeade 2018-12019-2 financed the coverage through the issuance of mortgage insurance-linked notes in an aggregate amount of
approximately $374.5$621.0 million to unrelated investors (the “Notes”). The maturity date of the Notes is April 25, 2028.2029. The Notes will be redeemed prior to maturity upon the occurrence of a mandatory termination event or if the ceding insurers trigger a termination of the reinsurance agreement following the occurrence of an optional termination event. All of the proceeds paid to Bellemeade 2018-12019-2 from the sale of the Notes were deposited into a reinsurance trust as security for Bellemeade 2018-1’s2019-2’s obligations. At all times, funds in the reinsurance trust account are required to be invested in high credit quality money market funds.
Three-For-One Common Share Split
On February 28, 2018, the board of directors of Arch Capital approved a three-for-one split on Arch Capital’s common shares. The share split was subject to the approval by shareholders of a proposal to amend the memorandum of association by sub-dividing the authorized common shares of Arch Capital to effect a three-for-one split of Arch Capital’s common shares. At the 2018 Annual Meeting of Shareholders, shareholders approved the proposed amendment. Such amendment will become effective on June 18, 2018, which will become the record date for the determination of the owners of common shares entitled to additional common shares and the distribution date for such additional common shares will be on or about June 20, 2018. At that time, each record date

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

shareholder will become the record owner of, and entitled to receive two additional common shares for each common share then owned of record by such shareholder. Shareholders will receive information about the additional common shares to which they are entitled on or around the distribution date.
The share split will change the Company’s authorized common shares from the current 600 million common shares, U.S. $.0033 par value, to 1.8 billion common shares, U.S. $.0011 par value. Information pertaining to the composition of the Company’s shareholders’ equity accounts, shares and earnings per share has not been restated in the accompanying financial statements and notes to the consolidated financial statements to reflect the share split.
Information presented on an unaudited pro forma basis, reflecting the impact of the share split for the 2018 first quarter and 2017 first quarter, is as follows:
 Three Months Ended
 March 31,
 2018 2017
Net income available to Arch common shareholders$137,276
 $241,909
    
Net income per common share and common share equivalent data:   
As reported:   
Basic$1.01
 $1.80
Diluted$0.99
 $1.74
    
Pro forma:   
Basic$0.34
 $0.60
Diluted$0.33
 $0.58
    
Weighted average common shares and common share equivalents outstanding

  
As reported:   
Basic135,846,576
 134,034,927
Diluted139,297,934
 139,047,672
    
Pro forma:   
Basic407,539,728
 402,104,781
Diluted417,893,802
 417,143,016
Share Repurchases
From April 1, 2018 to May 9, 2018, Arch Capital repurchased 1,379,080 shares under the share repurchase program with an aggregate purchase price of $110.5 million. At May 9, 2018, approximately $332.7 million of share repurchases were available under the program, which may be effected from time to time in open market or privately negotiated transactions through December 31, 2019.


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ITEM 2.MANAGEMENT’S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND RESULTS OF OPERATIONS

The following is a discussion and analysis of our financial condition and results of operations. This should be read in conjunction with our consolidated financial statements included in Item 1 of this report and also our Management’s Discussion and Analysis of Financial Condition and Results of Operations contained in our Annual Report on Form 10-K for the year ended December 31, 20172018 (“20172018 Form 10-K”). In addition, readers should review “Risk Factors” set forth in Item 1A of Part I of our 20172018 Form 10-K. Tabular amounts are in U.S. Dollars in thousands, except share amounts, unless otherwise noted.
Arch Capital Group Ltd. (“Arch Capital” and, together with its subsidiaries, “we” or “us”) is a Bermuda public limited liability company with approximately $11.26$11.85 billion in capital at March 31, 20182019 and, through operations in Bermuda, the United States, Europe, Canada and Australia, writes insurance, reinsurance and mortgage insurance on a worldwide basis.
CURRENT OUTLOOK

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 and continue to write a portion of our overall book in catastrophe-exposed business which has the potential to increase the volatility of our operating results.
The broad property casualty insurance market environment continues to be competitive, with modest upward rate movement in our business, consistent with our view in prior quarters, reflecting slight deterioration in rates across certain sectors. As in prior quarters, this has led to flat or lower writings in certain property and select casualty lineslines. We believe that the modest improvement in the 2018 first quarter.property and casualty markets reflects broader economic growth, particularly in the U.S. However, with the continued low interestspread between rate environment, additional price increases are neededchanges and loss trend continues to be a key variable in manyassessing expected returns and, in specialty lines, in order for us to achieve our return requirements.is volatile by nature. Our underwriting teams continue to execute a disciplined strategy by emphasizing small and medium-sized accounts over large accounts, shrinking premiums in more commoditized lines such as general liability and directors and officers, and by utilizing reinsurance purchases to reduce volatility on large account, high capacity business. Writings in property catastrophe-exposed business continued to remain low in the 2019 first quarter.
Our mortgage segment continues to experience generally favorable market conditions, albeit with increased pressure on pricing. The mortgage segment includes ourconditions. Although pricing remains competitive in the U.S. primary mortgage insurance operations, international mortgage insurance, borrower credit quality and reinsurance operations as well as government sponsored enterprise (“GSE”) credit-risk sharing transactions.the general
 
economy remain strong. Our results continue to reflect our success in making high quality credit underwriting risk decisions and building customer relationships.
Arch remains committed to providing solutions across many offerings as the marketplace evolves. As such, in March 2018, we announced that we, through a new U.S. subsidiary and in conjunction with Federal Home Loan Mortgage Corporation (“Freddie Mac”), are piloting a newevolves, including the mortgage credit risk transfer program, deemed “IMAGIN” (Integrated Mortgage Insurance),programs initiated by government sponsored enterprises, or “GSEs,” in 2018. Such programs have continued to attract a diversified and robust capital base to the U.S. housing market, in a highly efficient structure, that will support market stability through economic cycles.generate business. In addition, we completed two Bellemeade risk transfers in March and April, 2018, we announced that we have entered into a multi-year agreement with Munich Re to provideincreasing our protection for mortgage credit assessment and underwriting advisory services related to Munich Re’s involvement in credit risk transfer programs offered by Federal National Mortgage Association (“Fannie Mae”) and Freddie Mac, each a GSE.tail risk.
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 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 $61.24$23.12 at March 31, 2018,2019, compared to $60.91$21.52 at December 31, 20172018 and $57.69$20.41 at March 31, 2017.2018. The 0.5%7.4% increase for the 20182019 first quarter reflected strong underwriting results partially offset byand the impact of an increasea decrease in interest rates on our fixed income securities in the period, while the 6.2%13.3% increase over the trailing twelve months reflected strong investmentunderwriting results and underwriting results.the impact of higher interest rates.
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 the average of beginning and ending common shareholders’ equity available to Arch during the period. After-tax operating income

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available to Arch common shareholders, a non-GAAP financial measure as defined in Regulation G, represents net income available to Arch common shareholders, excluding net realized gains or losses, net impairment losses recognized in earnings,

ARCH CAPITAL 422019 FIRST QUARTER FORM 10-Q

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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, loss on redemption of preferred shares and income taxes. Management uses Operating ROAE as a key measure of the return generated to common shareholders. See “Comment on Non-GAAP Financial Measures.”
Our Operating ROAE was 12.3% for the 2019 first quarter, compared to 11.3% for the 2018 first quarter, compared to 10.3% for the 2017 first quarter. The 2019 and 2018 first quarterreturns reflected strongfavorable mortgage insurance underwriting performance, strong investment returns and a low level of catastrophic activity.
Total Return on Investments
Total return on investments includes investment income, equity in net income or loss of investment funds 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 along with foreign currency fluctuations. In addition, total return incorporates the timing of investment returns during the periods. The following table summarizes our total return compared to the benchmark return against which we measured our portfolio during the periods. See “Comment on Non-GAAP Financial Measures.”
Arch
Portfolio
 
Benchmark
Return
Arch
Portfolio
 
Benchmark
Return
Pre-tax total return (before investment expenses):   
2019 First Quarter2.70 % 2.82 %
2018 First Quarter(0.32)% (0.68)%(0.32)% (0.68)%
2017 First Quarter1.70 % 1.49 %
Excluding the effects of foreign exchange, total return was (0.40)%2.67% for the 2018 first quarter, reflecting an increase in interest rates in the 20182019 first quarter. Total return for the 20182019 first quarter reflected the weakeningimpact of a decline in interest rates, which increased the U.S. Dollar against the Euro and British Pound Sterlingtotal return on non-U.S. Dollar denominated investments.
The benchmark return index included weightings to 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 1-5 Year U.S. Treasury Index15.00
BoAML 1-10 Year U.S. Municipal Securities Index14.50
BoAML 3-5 Year Fixed Rate Asset Backed Securities Index7.00
Barclays CMBS Inv. Grade, AAA Rated Index5.00
MSCI All Country World Gross Total Return Index5.00
BoAML German Government 1-10 Year Index5.00
BoAML U.S. Mortgage Backed Securities Index4.00
Hedge Fund Research HFRX Fixed Income Credit Index3.50
Hedge Fund Research HFRX Equal Weighted Strategies3.50
BoAML 5-10 Year U.S. Treasury Index3.00
BoAML 1-5 Year U.K. Gilt Index3.00
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%
our investment grade fixed income portfolio, aided by favorable returns on equities.
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 March 31, 2018,2019, the benchmark return index had an average credit quality of “Aa2”“Aa3” by Moody’s Investors Service (“Moody’s”), and an estimated duration of 3.173.06 years.

The benchmark return index included weightings to the following indices:
ARCH CAPITAL 42%
ICE BoAML 1-10 Year AAA - A U.S. Corporate Index2018 FIRST QUARTER FORM 10-Q21.00%
ICE BoAML 1-5 Year U.S. Treasury Index15.00
ICE BoAML 3-5 Year Fixed Rate Asset Backed Securities Index7.00
ICE BoAML 1-10 Year U.S. Municipal Securities Index5.00
Bloomberg Barclays CMBS Invest Grade Aaa Total Return Index5.00
MSCI ACWI Net Total Return USD Index5.00
Hedge Fund Research HFRX Fixed Income Credit Index5.00
Hedge Fund Research HFRX Equal Weighted Strategies5.00
ICE BoAML 1-10 Year BBB U.S. Corporate Index4.00
ICE BoAML German Government 1-10 Year Index4.00
ICE BoAML U.S. Mortgage Backed Securities Index4.00
ICE BoAML 0-3 Month U.S. Treasury Bill Index4.00
ICE BoAML 1-5 Year U.K. Gilt Index3.50
ICE BoAML 5-10 Year U.S. Treasury Index3.00
ICE BoAML 1-5 Year Australian Governments Index3.00
ICE BoAML U.S. High Yield Constrained Index2.50
S&P Leveraged Loan Total Return Index2.50
ICE BoAML 1-5 Year Canada Government Index1.00
ICE BoAML 20+ Year Canada Government Index0.50
Total100.00%

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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 funds 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

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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 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 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 funds 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 funds 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, net impairment losses recognized in earnings on our 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 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 funds 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 and other transaction costs related to the acquisition of United Guaranty Corporation, a North Carolina corporation (“UGC”) which closed at the end of 2016. 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 January 2018 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 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 from
the calculation of 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,note 4, “Segment Information,” of the notes accompanying our consolidated financial statements, they are considered non-GAAP financial measures

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

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 intangibles 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. As such, we consolidate the results

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of Watford Re in our consolidated financial statements, although we only own approximately 11% of Watford Re’s common equity. Watford Re has its own management and board of directors that is responsible for its overall profitability. In addition, we do not guarantee or provide credit support for Watford Re. 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’s 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 funds 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 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 or loss available to Arch common shareholders to after-tax operating income or loss available to Arch common shareholders. Each line item reflects the impact of our approximate 11% ownership of Watford Re’s common equity.
Three Months EndedThree Months Ended
March 31,March 31,
2018 20172019 2018
Net income available to Arch common shareholders$137,276
 $241,909
$438,125
 $137,276
Net realized (gains) losses111,764
 (29,134)(115,644) 111,764
Net impairment losses recognized in earnings162
 1,807
1,309
 162
Equity in net (income) loss of investment funds accounted for using the equity method(28,069) (48,088)(46,867) (28,069)
Net foreign exchange (gains) losses15,556
 19,796
(4,994) 15,556
UGC transaction costs and other830
 15,584
Transaction costs and other1,190
 830
Loss on redemption of preferred shares2,710
 

 2,710
Income tax expense (benefit) (1)(5,086) (3,909)2,778
 (5,086)
After-tax operating income available to Arch common shareholders$235,143
 $197,965
$275,897
 $235,143
      
Beginning common shareholders’ equity$8,324,047
 $7,481,163
$8,659,827
 $8,324,047
Ending common shareholders’ equity8,370,372
 7,833,289
9,334,596
 8,370,372
Average common shareholders’ equity$8,347,210
 $7,657,226
$8,997,212
 $8,347,210
      
Annualized return on average common equity %6.6
 12.6
19.5
 6.6
Annualized operating return on average
common equity %
11.3
 10.3
12.3
 11.3
(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.

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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 profitability of their respective segments and who are directly accountable to our chief operating decision makers, the President and Chief Executive Officer of Arch Capital and the Chief Financial 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.

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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:
Three Months Ended March 31,Three Months Ended March 31,
2018 2017 % Change2019 2018 % Change
Gross premiums written$823,378
 $782,281
 5.3
$941,954
 $823,378
 14.4
Premiums ceded(247,180) (234,095)  (320,622) (247,180)  
Net premiums written576,198
 548,186
 5.1
621,332
 576,198
 7.8
Change in unearned premiums(37,461) (42,540)  (67,827) (37,461)  
Net premiums earned538,737
 505,646
 6.5
553,505
 538,737
 2.7
Losses and loss adjustment expenses(353,730) (332,641)  
(356,723) (353,730)  
Acquisition expenses(85,169) (74,868)  
(82,824) (85,169)  
Other operating expenses(91,974) (88,126)  
(113,396) (91,974)  
Underwriting income$7,864
 $10,011
 (21.4)$562
 $7,864
 (92.9)
          
Underwriting Ratios 
  
 % Point
Change
 
  
 % Point
Change
Loss ratio65.7% 65.8% (0.1)64.4% 65.7% (1.3)
Acquisition expense ratio15.8% 14.8% 1.0
15.0% 15.8% (0.8)
Other operating expense ratio17.1% 17.4% (0.3)20.5% 17.1% 3.4
Combined ratio98.6% 98.0% 0.6
99.9% 98.6% 1.3
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 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 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 1,000 companies and smaller transaction business programs.

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Premiums Written.
The following table setstables set forth our insurance segment’s net premiums written by major line of business:
Three Months Ended March 31,Three Months Ended March 31,
2018 20172019 2018
Amount % Amount %Amount % Amount %
Professional lines$119,789
 20.8
 $108,468
 19.8
$129,234
 20.8
 $119,789
 20.8
Programs101,172
 16.3
 96,556
 16.8
Construction and national accounts98,428
 17.1
 99,977
 18.2
95,355
 15.3
 98,428
 17.1
Programs96,556
 16.8
 99,957
 18.2
Travel, accident and health80,524
 14.0
 65,528
 12.0
88,104
 14.2
 80,524
 14.0
Property, energy, marine and aviation52,127
 9.0
 40,104
 7.3
70,486
 11.3
 52,127
 9.0
Excess and surplus casualty41,922
 7.3
 45,832
 8.4
45,165
 7.3
 41,922
 7.3
Lenders products21,984
 3.8
 24,705
 4.5
22,415
 3.6
 21,984
 3.8
Other64,868
 11.3
 63,615
 11.6
69,401
 11.2
 64,868
 11.3
Total$576,198
 100.0
 $548,186
 100.0
$621,332
 100.0
 $576,198
 100.0
Gross premiums written by the insurance segment in the 20182019 first quarter were 5.3%14.4% higher than in the 20172018 first quarter, while net premiums written were 5.1% higher than in the 2017 first quarter. Changes in foreign currency rates resulted in an increase in net premiums written in the 2018 first quarter of $10.3 million, or 1.9%, compared to the 2017 first quarter.7.8% higher. The increase in net premiums written reflectedprimarily reflects the acquisition of renewal rights of a U.K. commercial lines book of business on January 1, 2019, along with the growth in travel, through both new business and growthmost lines of business. The percentage increase in existing accounts,gross premiums written is higher than the increase in property, primarilynet premiums written due to improved rates and new business, anda single large national account, for which the premium written in professional lines, reflecting increases in small and medium sized accounts.the quarter was substantially ceded.
Net Premiums Earned.
The following table setstables set forth our insurance segment’s net premiums earned by major line of business:
Three Months Ended March 31,Three Months Ended March 31,
2018 20172019 2018
Amount % Amount %Amount % Amount %
Professional lines$116,018
 21.5
 $108,638
 21.5
$114,791
 20.7
 $116,018
 21.5
Programs97,486
 17.6
 95,011
 17.6
Construction and national accounts77,212
 14.3
 77,423
 15.3
75,931
 13.7
 77,212
 14.3
Programs95,011
 17.6
 85,180
 16.8
Travel, accident and health66,835
 12.4
 58,481
 11.6
71,575
 12.9
 66,835
 12.4
Property, energy, marine and aviation48,603
 9.0
 38,078
 7.5
59,638
 10.8
 48,603
 9.0
Excess and surplus casualty46,544
 8.6
 51,007
 10.1
42,369
 7.7
 46,544
 8.6
Lenders products22,816
 4.2
 24,099
 4.8
23,232
 4.2
 22,816
 4.2
Other65,698
 12.2
 62,740
 12.4
68,483
 12.4
 65,698
 12.2
Total$538,737
 100.0
 $505,646
 100.0
$553,505
 100.0
 $538,737
 100.0
Net premiums written are primarily earned on a pro rata basis over the terms of the policies for all products, usually 12 months. Net premiums earned reflect changes in net premiums written
over the previous five quarters. Net premiums earned in the 2018
2019 first quarter were 6.5%2.7% higher than in the 20172018 first quarter.
Losses and Loss Adjustment Expenses.
The table below shows the components of the insurance segment’s loss ratio:
Three Months EndedThree Months Ended
March 31,March 31,
2018 20172019 2018
Current year66.1 % 66.2 %65.2 % 66.1 %
Prior period reserve development(0.4)% (0.4)%(0.8)% (0.4)%
Loss ratio65.7 % 65.8 %64.4 % 65.7 %
Current Year Loss Ratio.
The insurance segment’s current year loss ratio in the 20182019 first quarter was 0.10.9 points lower than in the 20172018 first quarter and reflected 0.2 points ofminimal current year catastrophic activity, compared to 0.5 points inconsistent with the 20172018 first quarter.
Prior Period Reserve Development.
The insurance segment’s net favorable development was $2.1$4.4 million, or 0.40.8 points, for the 20182019 first quarter, compared to $2.1 million, or 0.4 points, for the 20172018 first quarter. See note 6,5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements for information about the insurance segment’s prior year reserve development.
Underwriting Expenses.
The insurance segment’s underwriting expense ratio was 35.5% in the 2019 first quarter, compared to 32.9% in the 2018 first quarter, compared to 32.2% in the 2017 first quarter. The comparison ofincrease in the underwriting expense ratios reflects changesratio reflected a previously announced change in the leveltiming of reinsurance ceded onour incentive compensation practices, with a quotalarge portion of the expense associated with the share basis and changesbased compensation grants reflected in the mix2019 first quarter. In prior periods, share based compensation grants occurred in the second quarter. On the U.K. acquisition noted above, only a small portion of business.net premiums written were earned in the 2019 first quarter while the Company incurred a full quarter of expenses. This resulted in a higher expense ratio in the period, which is expected to moderate as the business matures. The Company did not acquire any loss reserves or unearned premiums as part of the transaction.


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Reinsurance Segment 
The following table setstables set forth our reinsurance segment’s underwriting results:
Three Months Ended March 31,Three Months Ended March 31,
2018 2017 % Change2019 2018 % Change
Gross premiums written$577,483
 $475,782
 21.4
$682,855
 $577,483
 18.2
Premiums ceded(195,730) (166,092)  (231,567) (195,730)  
Net premiums written381,753
 309,690
 23.3
451,288
 381,753
 18.2
Change in unearned premiums(102,581) (64,839)  (104,923) (102,581)  
Net premiums earned279,172
 244,851
 14.0
346,365
 279,172
 24.1
Other underwriting income1,232
 (306)  
4,377
 1,232
  
Losses and loss adjustment expenses(141,675) (105,454)  
(239,810) (141,675)  
Acquisition expenses(48,319) (46,147)  
(54,326) (48,319)  
Other operating expenses(35,571) (37,533)  
(35,704) (35,571)  
Underwriting income$54,839
 $55,411
 (1.0)$20,902
 $54,839
 (61.9)
          
Underwriting Ratios    % Point
Change
    % Point
Change
Loss ratio50.7% 43.1% 7.6
69.2% 50.7% 18.5
Acquisition expense ratio17.3% 18.8% (1.5)15.7% 17.3% (1.6)
Other operating expense ratio12.7% 15.3% (2.6)10.3% 12.7% (2.4)
Combined ratio80.7% 77.2% 3.5
95.2% 80.7% 14.5
The reinsurance segment consists of our 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 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.
Premiums Written.
The following table setstables set forth our reinsurance segment’s net premiums written by major line of business:
Three Months Ended March 31,Three Months Ended March 31,
2018 20172019 2018
Amount % Amount %Amount % Amount %
Other specialty$138,992
 36.4
 $114,418
 36.9
$140,477
 31.1
 $138,992
 36.4
Casualty130,176
 34.1
 110,620
 35.7
168,484
 37.3
 130,176
 34.1
Property excluding property catastrophe85,170
 22.3
 75,387
 24.3
102,740
 22.8
 85,170
 22.3
Property catastrophe3,383
 0.7
 7,632
 2.0
Marine and aviation10,012
 2.6
 9,541
 3.1
15,958
 3.5
 10,012
 2.6
Property catastrophe7,632
 2.0
 (7,477) (2.4)
Other9,771
 2.6
 7,201
 2.3
20,246
 4.5
 9,771
 2.6
Total$381,753
 100.0
 $309,690
 100.0
$451,288
 100.0
 $381,753
 100.0
       
Pro rata$152,165
 39.9
 $129,016
 41.7
Excess of loss229,588
 60.1
 180,674
 58.3
Total$381,753
 100.0
 $309,690
 100.0
Gross and net premiums written by the reinsurance segment in the 20182019 first quarter were 21.4%18.2% higher than in the 2017 first quarter, while net premiums written were 23.3% higher than in the 2017 first quarter. Changes in foreign currency rates resulted in an increase in net premiums written in the 2018 first quarter of $22.4 million, or 7.2%, compared to the 2017 first quarter. The increase in net premiums written in the 2019 first quarter primarily reflected growth from selected new business opportunities in international motor contracts.casualty and property excluding property catastrophe lines of business.
Net Premiums Earned.
The following tables set forth our reinsurance segment’s net premiums earned by major line of business:
 Three Months Ended March 31,
 2019 2018
 Amount % Amount %
Other specialty$121,521
 35.1
 $103,717
 37.2
Casualty91,624
 26.5
 69,372
 24.8
Property excluding property catastrophe83,792
 24.2
 68,754
 24.6
Property catastrophe18,732
 5.4
 18,387
 6.6
Marine and aviation11,059
 3.2
 9,389
 3.4
Other19,637
 5.7
 9,553
 3.4
Total$346,365
 100.0
 $279,172
 100.0

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Net Premiums Earned.
The following table sets forth our reinsurance segment’s net premiums earned by major line of business:
 Three Months Ended March 31,
 2018 2017
 Amount % Amount %
Other specialty$103,717
 37.2
 $69,965
 28.6
Casualty69,372
 24.8
 72,968
 29.8
Property excluding property catastrophe68,754
 24.6
 69,852
 28.5
Marine and aviation9,389
 3.4
 9,490
 3.9
Property catastrophe18,387
 6.6
 16,177
 6.6
Other9,553
 3.4
 6,399
 2.6
Total$279,172
 100.0
 $244,851
 100.0
        
Pro rata$163,996
 58.7
 $133,092
 54.4
Excess of loss115,176
 41.3
 111,759
 45.6
Total$279,172
 100.0
 $244,851
 100.0
Net 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. For the 20182019 first quarter, net premiums earned were 14.0%24.1% higher than in the 20172018 first quarter, and reflect the retroactive reinsurance contract and reinstatement premium impacts discussed above as well as in net premiums written over the previous five quarters.quarter.
Other Underwriting Income (Loss).
Other underwriting income (loss)for the 2019 first quarter was $4.4 million, compared to $1.2 million for the 2018 first quarter was $1.2 million, compared to $(0.3) million for the 2017 first quarter.
Losses and Loss Adjustment Expenses.
The table below shows the components of the reinsurance segment’s loss ratio:
Three Months EndedThree Months Ended
March 31,March 31,
2018 20172019 2018
Current year63.8 % 66.5 %68.7% 63.8 %
Prior period reserve development(13.1)% (23.4)%0.5% (13.1)%
Loss ratio50.7 % 43.1 %69.2% 50.7 %
Current Year Loss Ratio.
The reinsurance segment’s current year loss ratio in the 20182019 first quarter was 2.74.9 points lowerhigher than in the 20172018 first quarter and reflected 0.42.3 points of current year catastrophic activity, compared to 4.00.4 points in the 2017 first quarter. The balance of the change in the 2018 first quarter current year loss ratio resulted, in part, from the effects of a higher level of large loss activity than in the 2017 first quarter.
Prior Period Reserve Development.
The reinsurance segment’s net favorableadverse development was $1.7 million, or 0.5 points, for the 2019 first quarter, compared to $36.5 million, or 13.1 points, of net favorable development for the 2018 first quarter. The estimated net adverse development in the 2019 first quarter compared to $57.2included an increase in reserves on Typhoon Jebi of $16.0 million, or 23.44.6 points, for the 2017 first quarter.based on receipt of updated information from cedents and additional updated industry data. See note 6,5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements for information about the reinsurance segment’s prior year reserve development.
Underwriting Expenses.
The underwriting expense ratio for the reinsurance segment was 26.0% in the 2019 first quarter, compared to 30.0% in the 2018 first quarter, compared to 34.1%reflecting growth in the 2017 first quarter. The comparison of the underwriting expense ratios also reflected changes in the mix and type of business and a higher level of net premiums earned and changes in the 2018 first quarter. The underwriting expense ratio benefited from a reduction in federal excise taxes incurredmix of $2.5 million, or 0.9 points, as the reinsurance agreements between the Company’s U.S.-based property casualty insurance and reinsurance subsidiaries and Arch Reinsurance Ltd. (“Arch Re Bermuda”) were canceled on a cutoff basis as of January 1, 2018.business.
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 (together, “Arch MI U.S.”), as well as through Arch Mortgage Guaranty Company; mortgage reinsurance by Arch Reinsurance Ltd. (“Arch Re BermudaBermuda”) to mortgage insurers on both a proportional and non-proportional basis globally; direct mortgage insurance in Europe provided by through Arch Insurance (EU) Designated Activity Company (“Arch MI EuropeEurope”) and in Hong Kong bythrough Arch MI Asia;Asia Limited (“Arch MI Asia”); and participation in various GSE credit risk sharingrisk-sharing products provided primarily bythrough Arch Re Bermuda.

The following tables set forth our mortgage segment’s underwriting results.
 Three Months Ended March 31,
 2019 2018 % Change
Gross premiums written$356,050
 $321,178
 10.9
Premiums ceded(48,798) (46,137)  
Net premiums written307,252
 275,041
 11.7
Change in unearned premiums15,650
 5,201
  
Net premiums earned322,902
 280,242
 15.2
Other underwriting income3,856
 3,416
  
Losses and loss adjustment expenses(11,149) (43,466)  
Acquisition expenses(31,672) (26,567)  
Other operating expenses(39,875) (38,771)  
Underwriting income$244,062
 $174,854
 39.6
      
Underwriting Ratios 
  
 % Point
Change
Loss ratio3.5% 15.5% (12.0)
Acquisition expense ratio9.8% 9.5% 0.3
Other operating expense ratio12.3% 13.8% (1.5)
Combined ratio25.6% 38.8% (13.2)
Premiums Written.
The following tables set forth our mortgage segment’s net premiums written by underwriting location (i.e., where the business is underwritten):
 Three Months Ended March 31,
 2019 2018
 Amount % Amount %
Underwriting location:       
United States$255,380
 83.1
 $221,177
 80.4
Other51,872
 16.9
 53,864
 19.6
Total$307,252
 100.0
 $275,041
 100.0
Gross premiums written by the mortgage segment in the 2019 first quarter were 10.9% higher than in the 2018 first quarter, while net premiums written were 11.7% higher. The growth in net premiums written primarily reflected an increase in monthly premiums business due to growth in U.S. insurance in force, partially offset by a lower level of U.S. single premium business, a decrease in Australian mortgage reinsurance business and higher ceded premiums related to Bellemeade transactions.

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The following table sets forth our mortgage segment’s underwriting results.
 Three Months Ended March 31,
 2018 2017 % Change
Gross premiums written$321,178
 $348,623
 (7.9)
Premiums ceded(46,137) (73,925)  
Net premiums written275,041
 274,698
 0.1
Change in unearned premiums5,201
 (30,175)  
Net premiums earned280,242
 244,523
 14.6
Other underwriting income3,416
 4,123
  
Losses and loss adjustment expenses(43,466) (29,065)  
Acquisition expenses(26,567) (28,766)  
Other operating expenses(38,771) (41,870)  
Underwriting income$174,854
 $148,945
 17.4
      
Underwriting Ratios 
  
 % Point
Change
Loss ratio15.5% 11.9% 3.6
Acquisition expense ratio9.5% 11.8% (2.3)
Other operating expense ratio13.8% 17.1% (3.3)
Combined ratio38.8% 40.8% (2.0)
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):
 Three Months Ended March 31,
 2018 2017
 Amount % Amount %
Client location:       
United States$246,548
 89.6
 $241,136
 87.8
Other28,493
 10.4
 33,562
 12.2
Total$275,041
 100.0
 $274,698
 100.0
        
Underwriting location:       
United States$221,177
 80.4
 $216,729
 78.9
Other53,864
 19.6
 57,969
 21.1
Total$275,041
 100.0
 $274,698
 100.0
Gross premiums written by the mortgage segment in the 2018 first quarter were 7.9% lower than in the 2017 first quarter. The reduction in gross premiums written primarily reflected a lower level of Australian mortgage reinsurance business and a lower level of U.S. single premium business. Net premiums written for the 2018 first quarter reflected a declining cession to AIG on the 50% quota share reinsurance agreement covering 2014 to 2016 policy years of UGC business on a run-off basis, while the 2017 first quarter also reflected higher retrocessions of Australian mortgage reinsurance business.
The persistency rate, which 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, of the Arch MI U.S. portfolio of mortgage loans was 81.7%81.3% at March 31, 2018,2019, compared to 81.8%81.5% at December 31, 2017.2018.
Arch MI U.S. generated $11.4$11.2 billion of new insurance written (“NIW”) in the 20182019 first quarter, compared to $12.7consistent with the $11.4 billion in the 20172018 first quarter, with a decrease in the origination market and a decline in single premium and other business with high risk attributes.quarter. NIW represents the original principal balance of all loans that received coverage during the period. Monthly premium policies contributed 91.4%91.6% of NIW in the 20182019 first quarter, compared to 81.9%91.4% for the 20172018 first quarter.
The following table providestables provide details on the NIW generated by Arch MI U.S.:
(U.S. Dollars in millions)Three Months Ended March 31,Three Months Ended March 31,
2018 20172019 2018
Amount % Amount %Amount % Amount %
Total new insurance written (NIW) (1)$11,373
   $12,660
  $11,207
   $11,373
  
              
Credit quality (FICO):              
>=740$6,612
 58.1
 $7,184
 56.7
$6,350
 56.7
 $6,612
 58.1
680-7394,042
 35.5
 4,615
 36.5
4,041
 36.1
 4,042
 35.5
620-679719
 6.3
 861
 6.8
816
 7.3
 719
 6.3
Total$11,373
 100.0
 $12,660
 100.0
$11,207
 100.0
 $11,373
 100.0
              
Loan-to-value (LTV):              
95.01% and above$1,262
 11.1
 $972
 7.7
$1,808
 16.1
 $1,262
 11.1
90.01% to 95.00%5,136
 45.2
 5,985
 47.3
4,975
 44.4
 5,136
 45.2
85.01% to 90.00%3,643
 32.0
 4,061
 32.1
3,149
 28.1
 3,643
 32.0
85.01% and below1,332
 11.7
 1,642
 13.0
1,275
 11.4
 1,332
 11.7
Total$11,373
 100.0
 $12,660
 100.0
$11,207
 100.0
 $11,373
 100.0
              
Monthly vs. single:              
Monthly$10,390
 91.4
 $10,368
 81.9
$10,263
 91.6
 $10,390
 91.4
Single983
 8.6
 2,292
 18.1
944
 8.4
 983
 8.6
Total$11,373
 100.0
 $12,660
 100.0
$11,207
 100.0
 $11,373
 100.0
              
Purchase vs. refinance:              
Purchase$10,288
 90.5
 $10,720
 84.7
$10,289
 91.8
 $10,288
 90.5
Refinance1,085
 9.5
 1,940
 15.3
918
 8.2
 1,085
 9.5
Total$11,373
 100.0
 $12,660
 100.0
$11,207
 100.0
 $11,373
 100.0
(1)Represents the original principal balance of all loans that received coverage during the period.

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Net Premiums Earned.
The following table setstables set forth our mortgage segment’s net premiums earned by client location and underwriting location (i.e., where the business is underwritten):location:
 Three Months Ended March 31,
 2019 2018
 Amount % Amount %
Underwriting location:       
United States$274,473
 85.0
 $238,141
 85.0
Other48,429
 15.0
 42,101
 15.0
Total$322,902
 100.0
 $280,242
 100.0
 Three Months Ended March 31,
 2018 2017
 Amount % Amount %
Client Location:       
United States$265,685
 94.8
 $236,031
 96.5
Other14,557
 5.2
 8,492
 3.5
Total$280,242
 100.0
 $244,523
 100.0
        
Underwriting location:       
United States$238,141
 85.0
 $208,699
 85.3
Other42,101
 15.0
 35,824
 14.7
Total$280,242
 100.0
 $244,523
 100.0
Net premiums earned for the 20182019 first quarter were 15.2% higher than in the 20172018 first quarter,quarter. The increase was primarily due to growth in insurance in force for Arch MI U.S.over the last twelve months.
Other Underwriting Income.
Other underwriting income, which is primarily related to older GSE credit risk-sharing transactions receiving derivative accounting treatment, was $3.9 million for the 2019 first quarter, compared to $3.4 million for the 2018 first quarter, compared to $4.1 million for the 2017 first quarter.
Losses and Loss Adjustment Expenses.
The table below shows the components of the mortgage segment’s loss ratio:
Three Months EndedThree Months Ended
March 31,March 31,
2018 20172019 2018
Current year20.1 % 21.5 %14.8 % 20.1 %
Prior period reserve development(4.6)% (9.6)%(11.3)% (4.6)%
Loss ratio15.5 % 11.9 %3.5 % 15.5 %
Current Year Loss Ratio.
The mortgage segment’s current year loss ratio was 1.45.3 points lower in the 20182019 first quarter than in the 20172018 first quarter. The lower current year loss ratio for the 20182019 first quarter reflects the current favorable macroeconomic environment and growth in insurance in force, along with changes in the mix of business.environment.
Prior Period Reserve Development.
The mortgage segment’s net favorable development was $36.6 million, or 11.3 points, for the 2019 first quarter, compared to $13.0 million, or 4.6 points, for the 2018 first quarter, compared to $23.6 million, or 9.6 points, for the 2017 first quarter. See note 6,5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements for information about the mortgage segment’s prior year reserve development.
Underwriting Expenses.
The underwriting expense ratio for the mortgage segment was 22.1% in the 2019 first quarter, compared to 23.3% in the 2018 first quarter, compared to 28.9% in the 2017 first quarter. The lower underwriting expense ratio in the 20182019 first quarter reflected aprimarily resulted from the higher level of net premiums earned and expense savings from integration efforts following the acquisition of UGC.earned.
Corporate (Non-Underwriting) Segment
The corporate (non-underwriting) segment results include net investment income, other income (loss), corporate expenses, UGC 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 funds accounted for using the equity method, net foreign exchange gains or losses and income taxes. Such amounts exclude the results of the ‘other’ segment.

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Net Investment Income.
The components of net investment income were derived from the following sources:
Three Months EndedThree Months Ended
March 31,March 31,
2018 20172019 2018
Fixed maturities$92,438
 $82,781
$110,651
 $92,438
Equity securities2,750
 2,966
2,246
 2,750
Short-term investments3,949
 1,441
4,298
 3,949
Other (1)19,229
 21,234
22,944
 19,229
Gross investment income118,366
 108,422
140,139
 118,366
Investment expenses (2)(18,123) (12,610)(18,890) (18,123)
Net investment income$100,243
 $95,812
$121,249
 $100,243
(1)Amounts include dividends and other distributions on investment funds, term loan investments, funds held balances, cash balances and other items.
(2)Investment expenses were approximately 0.38% of average invested assets for the 20182019 first quarter, compared to 0.28%consistent with 0.38% for the 20172018 first quarter.
The higher level of net investment income for the 20182019 first quarter reflected an increase in the embedded book yield on fixed income securities, partially offset by areflecting the reinvestment at higher level of expenses.available yields and the shift from municipal bonds to corporates over the last twelve months. The pre-tax investment income yield, calculated based on amortized cost and on an annualized basis, was 2.67% for the 2019 first quarter, compared to 2.13% for the 2018 first quarter, consistent with the 2.13% for the 2017 first quarter.
Corporate Expenses.
Corporate expenses were $16.8 million for the 2019 first quarter, compared to $14.5 million for the 2018 first quarter, compared to $12.2 million for the 2017 first quarter. The higher level ofincrease in corporate expenses in the 20182019 first quarter was primarily due to higherreflected a previously announced change in the timing of our incentive compensation costs.
practices, with a large portion of the expense associated with the share based compensation grants reflected in the 2019 first quarter. In prior periods, share based compensation grants occurred in the second quarter.

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UGC Transaction Costs and Other.
UGC transactionTransaction costs and other were $1.2 million for the 2019 first quarter, compared to $0.8 million for the 2018 first quarter, compared to $15.6 million for the 2017 first quarter. Amounts for the 2018 first quarterin both periods primarily related to severance and related costs, while the total for the 2017 first quarter included severance and related costs along with incentive compensation paid in conjunction with the UGC acquisition.costs.
Amortization of Intangible Assets.
Amortization of intangible assets for the 20182019 first quarter was $26.7$20.4 million, compared to $31.3$26.7 million for the 20172018 first quarter, with amountsquarter. Expenses in both periods primarily related to intangible assetsthe UGC acquisition, while the 2019 first quarter also included amortization related to the UGC acquisition.previously announced acquisitions of (i) renewal rights of a U.K. commercial lines book of business on January 1, 2019; and (ii) McNeil &Co. on December 6, 2018.
See the consolidated financial statements contained in our 2018 Form 10-K for disclosures on our amortization pattern.
Interest Expense.
Interest expense was $23.5 million for the 2019 first quarter, compared to the $25.9 million for the 2018 first quarter, consistent withreflecting the $25.8 million forpaydown of revolving credit agreement borrowings in the 2017 first quarter.second half of 2018.
Loss on Redemption of Preferred Shares.
In January 2018, we redeemed all remaining 6.75% Series C preferred shares and, in accordance with GAAP, recorded a loss of $2.7 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.
Net Realized Gains or Losses.
We recorded net realized gains of $112.4 million for the 2019 first quarter, compared to net realized losses of $111.9 million for the 2018 first quarter, compared to net realized gains of $28.5 million for the 2017 first quarter. 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 include 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, pursuant to new accounting guidance effective in the 2018 first quarter, along with re-measurement of contingent consideration liability amounts. See note 6, “Investment Information—Net Realized Gains (Losses),” to our consolidated financial statements for additional information.
Net Impairment Losses Recognized in Earnings.
We recorded $0.2$1.3 million of impairment losses for the 20182019 first quarter, compared to $1.8$0.2 million for the 20172018 first quarter. See note 7,6, “Investment Information—Other-Than-Temporary Impairments,” to our consolidated financial statements for additional information.
Equity in Net Income (Loss) of Investment Funds Accounted for Using the Equity Method.
We recorded $28.1$46.9 million of equity in net income related to investment funds accounted for using the equity method in the 20182019 first quarter, compared to $48.1$28.1 million of income for the 20172018 first quarter. Investment funds accounted for using the equity method totaled $1.39$1.56 billion at March 31, 2018,2019, compared to $1.04$1.49 billion at December 31, 2017.2018. See note 6, “Investment Information—Investments Accounted For Using

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the Equity Method,” to our consolidated financial statements for additional information.
Net Foreign Exchange Gains or Losses.
Net foreign exchange lossesgains for the 20182019 first quarter were $15.0$5.2 million, compared to net foreign exchange losses for the 20172018 first quarter of $19.8$15.0 million. Amounts in suchboth 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.
Income Tax Expense.
Our income tax provision on income (loss) before income taxes resulted in an expense of 9.4% for the 2019 first quarter, compared to 12.8% for the 2018 first quarter, compared to an expense of 10.2% for the 2017 first quarter.period. The effective tax ratesrate for the 20182019 first quarter included a discrete income tax benefit of $1.4$1.8 million related to share-basedshare based compensation. Our effective tax rate, which is based upon the expected annual effective tax rate, may fluctuate from period to period based on the relative mix of income or loss reported by jurisdiction and the varying tax rates in each jurisdiction. The change in the U.S. federal corporate tax rate from 35% to 21% commencing on January 1, 2018 contributed to a lower effective tax rate for the 2018 first quarter as compared to the 2017 first quarter.
Other Segment 
The ‘other’ segment includes the results of Watford Re. 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. As such, we consolidate the results of Watford Re in our consolidated financial statements, although we only own approximately 11% of Watford Re’s common equity. See note 3,11, “Variable Interest Entities and Noncontrolling Interests”Interests,” and note 5,4, “Segment Information,” to our consolidated financial statements for additional information on Watford Re.

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CRITICAL ACCOUNTING POLICIES,
ESTIMATES AND RECENT ACCOUNTING PRONOUNCEMENTS

Critical accounting policies, estimates and recent accounting pronouncements are discussed in Management’s Discussion and Analysis of Financial Condition and Results of Operations contained in our 20172018 Form 10-K, updated where applicable in the notes accompanying our consolidated financial statements, including note 2, “Recent1, “Basis of Presentation and Recent Accounting Pronouncements.”

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FINANCIAL CONDITION

Investable Assets 
At March 31, 2018,2019, total investable assets held by Arch were $19.79$20.06 billion, excluding the $2.49$2.82 billion included in the ‘other’ segment (i.e., attributable to Watford Re).
Investable Assets Held by Arch 
The following table summarizes the fair value of the investable assets held by Arch:
Investable assets (1):
Estimated
Fair Value
 
% of
Total
Estimated
Fair Value
 
% of
Total
March 31, 2018   
March 31, 2019   
Fixed maturities (2)$14,953,447
 75.6
$15,382,680
 76.7
Short-term investments(2)989,487
 5.0
731,643
 3.6
Cash626,838
 3.2
576,799
 2.9
Equity securities (2)620,704
 3.1
495,002
 2.5
Other investments (2)1,239,063
 6.3
1,313,816
 6.6
Investments accounted for using the equity method1,394,548
 7.0
1,563,779
 7.8
Securities transactions entered into but not settled at the balance sheet date(33,289) (0.2)(8,339) 0.0
Total investable assets held by Arch$19,790,798
 100.0
$20,055,380
 100.0
      
December 31, 2017   
Average effective duration (in years)3.47
  
Average S&P/Moody’s credit ratings (3)AA/Aa2
  
Embedded book yield (4)2.95%  
   
December 31, 2018   
Fixed maturities (2)$14,798,213
 75.1
$14,881,902
 76.1
Short-term investments1,509,713
 7.7
Short-term investments (2)995,926
 5.1
Cash551,696
 2.8
583,027
 3.0
Equity securities (2)576,040
 2.9
368,843
 1.9
Other investments (2)1,476,960
 7.5
1,261,525
 6.4
Investments accounted for using the equity method1,041,322
 5.3
1,493,791
 7.6
Securities transactions entered into but not settled at the balance sheet date(237,523) (1.2)(18,153) (0.1)
Total investable assets held by Arch$19,716,421
 100.0
$19,566,861
 100.0
   
Average effective duration (in years)3.38
  
Average S&P/Moody’s credit ratings (3)AA/Aa2
  
Embedded book yield (4)2.89%  
(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 at fair value under the fair value option.
(3)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”).
(4)Before investment expenses.
At March 31, 2018, our fixed income portfolio, which includes fixed maturity securities and short-term investments, had average credit quality ratings from Standard & Poor’s Rating
Services (“S&P”)/Moody’s of “AA-/Aa3” and an average yield to maturity (embedded book yield), before investment expenses, of 2.50%. At December 31, 2017, our fixed income portfolio had average credit quality ratings from S&P/Moody’s of “AA-/Aa2” and an average yield to maturity of 2.32%. Our investment portfolio had an average effective duration of 2.60 years at March 31, 2018, compared to 2.83 years at December 31, 2017. At March 31, 2018,2019, approximately $13.73$14.30 billion, or 69%71.3%, of total investable assets held by Arch were internally managed, compared to $13.73$14.08 billion, or 70%72.0%, at December 31, 2017.2018.
The following table summarizes our fixed maturities and fixed maturities pledged under securities lending agreements (“Fixed Maturities”) by type:
 
Estimated
Fair Value
 
% of
Total
March 31, 2018 
  
Corporate bonds$5,705,157
 38.2
Mortgage backed securities351,059
 2.3
Municipal bonds1,553,616
 10.4
Commercial mortgage backed securities561,543
 3.8
U.S. government and government agencies2,966,962
 19.8
Non-U.S. government securities1,694,587
 11.3
Asset backed securities2,120,523
 14.2
Total$14,953,447
 100.0
    
December 31, 2017 
  
Corporate bonds$4,787,272
 32.4
Mortgage backed securities328,924
 2.2
Municipal bonds2,158,840
 14.6
Commercial mortgage backed securities545,817
 3.7
U.S. government and government agencies3,484,257
 23.5
Non-U.S. government securities1,704,337
 11.5
Asset backed securities1,788,766
 12.1
Total$14,798,213
 100.0

 
Estimated
Fair Value
 
% of
Total
March 31, 2019 
  
Corporate bonds$6,054,114
 39.4
Mortgage backed securities492,255
 3.2
Municipal bonds714,790
 4.6
Commercial mortgage backed securities610,754
 4.0
U.S. government and government agencies4,352,266
 28.3
Non-U.S. government securities1,740,110
 11.3
Asset backed securities1,418,391
 9.2
Total$15,382,680
 100.0
    
December 31, 2018 
  
Corporate bonds$5,735,526
 38.5
Mortgage backed securities535,763
 3.6
Municipal bonds1,012,308
 6.8
Commercial mortgage backed securities729,442
 4.9
U.S. government and government agencies3,601,269
 24.2
Non-U.S. government securities1,713,891
 11.5
Asset backed securities1,553,703
 10.4
Total$14,881,902
 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
Estimated Fair Value 
% of
Total
March 31, 2018   
March 31, 2019   
U.S. government and gov’t agencies (1)$3,280,853
 21.9
$4,895,315
 31.8
AAA4,076,660
 27.3
3,096,530
 20.1
AA2,211,254
 14.8
1,886,690
 12.3
A3,079,753
 20.6
3,213,166
 20.9
BBB1,426,818
 9.5
1,437,907
 9.3
BB312,169
 2.1
363,887
 2.4
B249,346
 1.7
231,544
 1.5
Lower than B71,922
 0.5
60,577
 0.4
Not rated244,672
 1.6
197,064
 1.3
Total$14,953,447
 100.0
$15,382,680
 100.0
      
December 31, 2017   
December 31, 2018   
U.S. government and gov’t agencies (1)$3,771,835
 25.5
$4,194,676
 28.2
AAA4,080,808
 27.6
3,551,039
 23.9
AA2,440,864
 16.5
2,129,336
 14.3
A2,470,936
 16.7
3,069,656
 20.6
BBB1,157,136
 7.8
1,251,205
 8.4
BB313,286
 2.1
275,201
 1.8
B254,011
 1.7
183,614
 1.2
Lower than B77,543
 0.5
61,271
 0.4
Not rated231,794
 1.6
165,904
 1.1
Total$14,798,213
 100.0
$14,881,902
 100.0
(1)Includes U.S. government-sponsored agency residential mortgage-backed securities and agency commercial mortgage-backed securities.

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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
March 31, 2018     
0-10%$11,628,855
 $(178,583) 91.7
10-20%103,563
 (15,690) 8.1
20-30%889
 (306) 0.2
Greater than 30%308
 (205) 0.1
Total$11,733,615
 $(194,784) 100.0
      
December 31, 2017     
0-10%$9,598,768
 $(93,057) 87.6
10-20%82,638
 (11,269) 10.6
20-30%2,108
 (671) 0.6
Greater than 30%1,881
 (1,184) 1.1
Total$9,685,395
 $(106,181) 100.0
Severity of gross unrealized losses:Estimated Fair Value 
Gross
Unrealized
Losses
 
% of
Total Gross
Unrealized
Losses
March 31, 2019     
0-10%$5,296,513
 $(73,911) 90.7
10-20%44,878
 (6,816) 8.4
20-30%1,625
 (499) 0.6
Greater than 30%173
 (282) 0.3
Total$5,343,189
 $(81,508) 100.0
      
December 31, 2018     
0-10%$8,722,837
 $(190,170) 92.5
10-20%87,188
 (13,012) 6.3
20-30%3,359
 (1,058) 0.5
Greater than 30%2,363
 (1,266) 0.6
Total$8,815,747
 $(205,506) 100.0
The following table summarizes our top ten exposures to fixed income corporate issuers by fair value at March 31, 2018,2019, excluding guaranteed amounts and covered bonds:
Estimated Fair Value 
Credit
Rating (1)
Estimated Fair Value 
Credit
Rating (1)
JPMorgan Chase & Co.$238,973
 A-/A2
Bank of America Corporation208,129
 A-/A2
Wells Fargo & Company195,423
 A/A1
Citigroup Inc.160,741
 A/A1
Apple Inc.$204,965
 AA+/Aa1160,052
 AA+/Aa1
Citigroup Inc.163,338
 A/A2
Wells Fargo & Company139,976
 A/A1
Bank of America Corporation133,671
 A-/A3
JPMorgan Chase & Co.121,339
 A-/A3
Philip Morris International Inc.105,763
 A/A2
Toyota Motor Corporation95,984
 AA-/Aa3
Oracle Corporation92,950
 AA-/A1
U.S. Bancorp124,936
 AA-/A1
BP P.L.C.113,032
 A-/A1
Morgan Stanley112,792
 BBB+/A3
Nestle S.A.112,305
 AA-/Aa2
Daimler AG90,303
 A/A2111,970
 A/A2
Morgan Stanley88,180
 BBB+/A3
Total$1,236,469
 $1,538,353
 
(1)Average credit ratings as assigned by S&P and Moody’s, respectively.
The following table provides information on our structured securities, which includes residential mortgage-backed securities (“RMBS”), commercial mortgage-backed securities (“CMBS”) and asset-backed securities (“ABS”):
Agencies Investment Grade Below Investment Grade TotalAgencies Investment Grade Below Investment Grade Total
March 31, 2018       
Mar 31, 2019       
RMBS$313,069
 $5,339
 $32,651
 $351,059
$435,123
 $21,797
 $35,335
 $492,255
CMBS822
 484,884
 75,837
 561,543
107,928
 478,255
 24,571
 610,754
ABS
 2,040,126
 80,397
 2,120,523

 1,332,715
 85,676
 1,418,391
Total$313,891
 $2,530,349
 $188,885
 $3,033,125
$543,051
 $1,832,767
 $145,582
 $2,521,400
              
December 31, 2017       
Dec 31, 2018       
RMBS$284,466
 $14,581
 $29,877
 $328,924
$488,862
 $15,410
 $31,491
 $535,763
CMBS3,112
 465,980
 76,725
 545,817
104,547
 602,865
 22,030
 729,442
ABS
 1,691,232
 97,534
 1,788,766

 1,485,150
 68,553
 1,553,703
Total$287,578
 $2,171,793
 $204,136
 $2,663,507
$593,409
 $2,103,425
 $122,074
 $2,818,908
At March 31, 2018,2019, our structured securities included $42.0$38.4 million par value in sub-prime securities with a fair value of $34.1$32.3 million and average credit quality ratings from S&P/Moody’s of “CCC/Caa3.“CCC-/Caa3,At December 31, 2017, our fixed income portfolio included $42.3compared to $38.2 million par value in sub-prime securities with a fair value of $35.4$31.7 million and average credit quality ratings from S&P/Moody’s of “CCC/Caa3.”

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The following table provides information on the fair value of our Eurozone investments“CCC-/Caa3” at MarchDecember 31, 2018:2018.
Country (1)
Sovereign
(2)
 Corporate Bonds 
Other
(3)
 Total
Netherlands$109,786
 $129,999
 $19,881
 $259,666
Germany138,805
 3,122
 50,260
 192,187
Belgium117,985
 9,203
 1,230
 128,418
France30,531
 16,305
 41,924
 88,760
Luxembourg
 16,196
 15,517
 31,713
Austria21,988
 
 
 21,988
Spain
 1,874
 10,442
 12,316
Ireland
 7,113
 3,404
 10,517
Greece2,011
 
 5,404
 7,415
Finland3,770
 
 
 3,770
Italy
 2,046
 1,698
 3,744
Portugal
 
 981
 981
Total$424,876
 $185,858
 $150,741
 $761,475
(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 March 31, 2018.
(2)Includes securities issued and/or guaranteed by Eurozone governments.
(3)Includes bank loans, equities and other.
At March 31, 2018,2019, our investment portfolio included $620.7$495.0 million of equity securities, compared to $576.0$368.8 million at December 31, 2017.2018. Our equity portfolio includes publicly traded common stocks in the natural resources, energy, consumer staples and other sectors.
The following table summarizes our other investments:
March 31,
2018
 December 31,
2017
March 31,
2019
 December 31,
2018
Asian and emerging markets$290,249
 $344,068
Lending$545,569
 $524,112
Term loan investments270,287
 326,085
$274,787
 $281,486
Mezzanine debt funds234,078
 252,160
Energy126,612
 117,509
Credit related funds205,303
 193,787
174,320
 152,510
Investment grade fixed income106,744
 156,225
97,676
 101,902
Other (1)132,402
 204,635
Infrastructure54,421
 45,371
Private equity24,501
 24,383
Real estate15,930
 14,252
Total$1,239,063
 $1,476,960
$1,313,816
 $1,261,525
(1)Includes fund investments with strategies in mortgage servicing rights, transportation and infrastructure assets and other.
For details on our investments accounted for using the equity method, see note 6, “Investment Information—Investments Accounted For Using the Equity Method,” to our consolidated financial statements.
Our investment strategy allows for the use of derivative instruments. We utilize various derivative instruments such as futures contracts to enhance investment performance, replicate

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investment positions or manage market exposures and duration risk that would be allowed under our investment guidelines if implemented in other ways. See note 9,8, “Derivative Instruments,” to our consolidated financial statements for additional disclosures related to 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 8,7, “Fair Value,” to our consolidated financial statements for a summary of our financial assets and liabilities measured at fair value, 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. The board of directors of Watford Re establishes theirits 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.
The following table summarizes investable assets in the ‘other’ segment:
 March 31,
2018
 December 31,
2017
Investments accounted for using the fair value option:   
Other investments$940,646
 $924,410
Fixed maturities1,096,553
 1,177,033
Short-term investments184,997
 256,755
Equity securities109,198
 67,868
Total2,331,394
 2,426,066
Fixed maturities available for sale, at fair value203,176
 
Cash54,053
 54,503
Securities sold but not yet purchased(63,110) (34,375)
Securities transactions entered into but not settled at the balance sheet date(32,218) (6,127)
Total investable assets included in ‘other’ segment$2,493,295
 $2,440,067
Premiums Receivable and Reinsurance Recoverables
At March 31, 2018, 82.0% of premiums receivable of $1.38 billion represented amounts not yet due, while amounts in excess of 90 days overdue were 3.8% of the total. 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. Our reserves for doubtful accounts were approximately $26.9 million at March 31, 2018, compared to $25.3 million at December 31, 2017.
At March 31, 2018 and December 31, 2017, approximately 70.8% and 69.9% of reinsurance recoverables on paid and unpaid losses (not including ceded unearned premiums) of $2.51 billion and $2.54 billion, respectively, were due from carriers which had an A.M. Best rating of “A-” or better while 29.2% and 30.1%, 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 March 31, 2018 and December 31, 2017. The largest reinsurance recoverables from any one carrier was approximately 2.2% and 2.2%,
 March 31,
2019
 December 31,
2018
Investments accounted for using the fair value option:   
Other investments$1,073,794
 $1,050,414
Fixed maturities826,016
 922,819
Short-term investments256,710
 282,131
Equity securities58,801
 56,638
Total2,215,321
 2,312,002
Fixed maturities available for sale, at fair value549,834
 393,351
Equity securities, at fair value65,010
 32,206
Cash56,301
 63,529
Securities sold but not yet purchased(28,737) (7,790)
Securities transactions entered into but not settled at the balance sheet date(33,011) (35,635)
Total investable assets included in ‘other’ segment$2,824,718
 $2,757,663

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respectively, of total shareholders’ equity available to Arch at March 31, 2018 and December 31, 2017.
Approximately 2.4% of the $63.1 million of paid losses and loss adjustment expenses recoverable at March 31, 2018 were more than 90 days overdue, compared to 3.0% of the $75.2 million of paid losses and loss adjustment expenses recoverable at December 31, 2017. No collection issues were indicated on the amount in excess of 90 days overdue at March 31, 2018.Reinsurance
The effects of reinsurance on written and earned premiums and losses and loss adjustment expenses (“LAE”) with unaffiliated reinsurers were as follows:
Three Months EndedThree Months Ended
March 31,March 31,
2018 20172019 2018
Premiums written:      
Direct$1,200,362
 $1,096,755
$1,363,506
 $1,200,362
Assumed637,852
 561,235
714,373
 637,852
Ceded(425,670) (381,730)(552,620) (425,670)
Net$1,412,544
 $1,276,260
$1,525,259
 $1,412,544
      
Premiums earned:      
Direct$1,147,676
 $1,023,452
$1,266,063
 $1,147,676
Assumed445,969
 416,345
533,279
 445,969
Ceded(358,746) (322,780)(430,476) (358,746)
Net$1,234,899
 $1,117,017
$1,368,866
 $1,234,899
      
Losses and LAE:      
Direct$568,466
 $507,118
$616,062
 $568,466
Assumed220,310
 186,956
338,400
 220,310
Ceded(151,916) (141,504)(235,930) (151,916)
Net$636,860
 $552,570
$718,532
 $636,860
Reinsurance Recoverables
The following table summarizes the Company’s reinsurance recoverables on paid and unpaid losses (not including ceded unearned premiums) at March 31, 2019 and December 31, 2018:
 March 31,
2019
 December 31,
2018
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses$3,099,823
 $2,919,372
% due from carriers with A.M. Best rating of “A-” or better59.9% 63.0%
% due from unrated fully collateralized reinsurers (1)16.2% 12.9%
% due from all other carriers with no A.M. Best rating (2)23.9% 24.1%
Largest balance due from any one carrier as % of total shareholders’ equity2.3% 2.7%
(1)Such amount is fully collateralized through reinsurance trusts.
(2)Over 90% of such amount is collateralized through reinsurance trusts or letters of credit.
Growth in items not rated in the 2019 first quarter is due to recoverables from a third party reinsurer related to a retroactive reinsurance transaction to reinsure liabilities associated with certain U.S. insurance exposures. Such amounts are fully collateralized. See note 5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements for additional information.


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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”). For the respective coverage periods, the Company 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 Company 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 March 31, 2019:
 Initial Coverage at Issuance Coverage at Mar. 31, 2019 First Layer Retention
Bellemeade 2015-1 Ltd. (1)$300,000
 $34,176
 $129,900
Bellemeade 2017-1 Ltd. (2)368,100
 296,773
 165,700
Bellemeade 2018-1 Ltd. (3)374,460
 374,460
 168,510
Bellemeade 2018-2 Ltd. (4)653,278
 625,523
 352,258
Bellemeade 2018-3 Ltd. (5)506,110
 506,110
 179,331
Bellemeade 2019-1 Ltd. (6)341,790
 341,790
 208,046
(1)Issued in July 2015, covering in-force policies issued between January 1, 2009 and March 31, 2013.
(2)Issued in October 2017, covering in-force policies issued between January 1, 2017 and June 30, 2017.
(3)Issued in April 2018, covering in-force policies issued between July 1, 2017 and December 31, 2017.
(4)Issued in August 2018, covering in-force policies issued between April 1, 2013 and December 31, 2015.
(5)Issued in October 2018, covering in-force policies issued between January 1, 2018 and June 30, 2018.
(6)Issued in March 2019, covering in-force policies issued through 2015.
Reserves for Losses and Loss Adjustment Expenses 
We establish reserves for losses and loss adjustment expenses (“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. 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.
 
At March 31, 20182019 and December 31, 2017,2018, our Loss Reserves, net of unpaid losses and loss adjustment expenses recoverable, and deferred reinsurance charge asset, by type and by operating segment were as follows:
March 31,
2018
 December 31,
2017
March 31,
2019
 December 31,
2018
Insurance segment: 
  
 
  
Case reserves$1,631,601
 $1,648,910
$1,431,754
 $1,489,644
IBNR reserves3,328,267
 3,272,351
3,216,327
 3,266,796
Total net reserves4,959,868
 4,921,261
4,648,081
 4,756,440
Reinsurance segment:      
Case reserves1,070,697
 1,033,413
1,077,680
 1,082,917
Additional case reserves159,448
 158,377
205,026
 191,002
IBNR reserves1,504,617
 1,499,962
1,644,973
 1,578,907
Total net reserves2,734,762
 2,691,752
2,927,679
 2,852,826
Mortgage segment:      
Case reserves435,109
 443,069
325,708
 355,606
IBNR reserves110,348
 104,169
132,450
 122,304
Total net reserves (1)545,457
 547,238
458,158
 477,910
Other segment:      
Case reserves289,387
 260,876
407,437
 364,052
Additional case reserves31,661
 32,587
12,543
 36,512
IBNR reserves488,080
 465,168
585,984
 551,266
Total net reserves809,128
 758,631
1,005,964
 951,830
Total: 
  
 
  
Case reserves3,426,794
 3,386,268
3,242,579
 3,292,219
Additional case reserves191,109
 190,964
217,569
 227,514
IBNR reserves5,431,312
 5,341,650
5,579,734
 5,519,273
Total net reserves$9,049,215
 $8,918,882
$9,039,882
 $9,039,006
(1)At March 31, 2018,2019, total net reserves include $469.1$346.1 million from U.S. primary mortgage insurance business, of which 77.6%70.3% represents policy years 20082009 and prior and the remainder from later policy years. At December 31, 2017,2018, total net reserves include $477.1$375.8 million from U.S. primary mortgage insurance business, of which 79.8%73.4% represents policy years 20082009 and prior and the remainder from later policy years.
At March 31, 20182019 and December 31, 2017,2018, the insurance segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:
March 31,
2018
 December 31,
2017
March 31,
2019
 December 31,
2018
Insurance segment:      
Professional lines (1)$1,319,534
 $1,308,261
$1,253,362
 $1,247,914
Construction and national accounts1,112,173
 1,094,300
1,185,524
 1,166,143
Excess and surplus casualty (2)677,515
 672,903
490,223
 631,370
Programs651,536
 644,340
501,851
 482,045
Property, energy, marine and aviation414,820
 437,518
351,684
 388,710
Travel, accident and health86,533
 86,122
85,297
 83,836
Lenders products50,084
 53,912
51,599
 52,007
Other (3)647,673
 623,905
728,541
 704,415
Total net reserves$4,959,868
 $4,921,261
$4,648,081
 $4,756,440
(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.

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At March 31, 20182019 and December 31, 2017,2018, the reinsurance segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, and including deferred reinsurance charge asset, were as follows:
March 31,
2018
 December 31,
2017
March 31,
2019
 December 31,
2018
Reinsurance segment:      
Casualty (1)$1,511,819
 $1,489,933
$1,568,735
 $1,551,550
Other specialty (2)555,493
 523,321
621,725
 582,420
Property excluding property catastrophe (3)368,674
 376,020
434,926
 422,612
Marine and aviation132,673
 135,484
128,617
 130,683
Property catastrophe99,926
 98,622
95,261
 90,635
Other (4)(3)66,177
 68,372
78,415
 74,926
Total net reserves$2,734,762
 $2,691,752
$2,927,679
 $2,852,826
(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 facultative business.
(4)Includes life, casualty clash and other.
Mortgage Operations Supplemental Information
The mortgage segment’s insurance in force (“IIF”) and risk in force (“RIF”) were as follows at the end of the last two quarters:March 31, 2019 and December 31, 2018:
(U.S. Dollars in millions)March 31, 2018 December 31, 2017March 31, 2019 December 31, 2018
Amount % Amount %Amount % Amount %
Insurance In Force (IIF) (1):              
U.S. primary mortgage insurance$255,092
 72.9
 $253,914
 72.2
$276,699
 70.9
 $276,538
 72.1
Mortgage reinsurance27,531
 7.9
 28,017
 8.0
26,487
 6.8
 25,975
 6.8
Other (2)67,252
 19.2
 69,905
 19.9
87,190
 22.3
 81,147
 21.2
Total$349,875
 100.0
 $351,836
 100.0
$390,376
 100.0
 $383,660
 100.0
              
Risk In Force (RIF) (3):              
U.S. primary mortgage insurance$65,235
 92.2
 $64,904
 92.3
$71,114
 92.2
 $70,995
 92.3
Mortgage reinsurance2,383
 3.4
 2,473
 3.5
2,204
 2.9
 2,217
 2.9
Other (2)3,117
 4.4
 2,921
 4.2
3,772
 4.9
 3,728
 4.8
Total$70,735
 100.0
 $70,298
 100.0
$77,090
 100.0
 $76,940
 100.0
(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 dollar 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 March 31, 2018:2019:
(U.S. Dollars in millions)IIF RIF DelinquencyIIF RIF Delinquency
Amount % Amount % Rate (1)Amount % Amount % Rate (1)
Policy year:                  
2008 and prior$24,970
 9.8
 $5,701
 8.7
 9.40%
2009989
 0.4
 232
 0.4
 2.71%
2009 and prior$20,142
 7.3
 $4,640
 6.5
 8.70%
2010931
 0.4
 254
 0.4
 2.37%582
 0.2
 157
 0.2
 2.65%
20113,560
 1.4
 975
 1.5
 1.30%2,278
 0.8
 634
 0.9
 1.60%
201212,414
 4.9
 3,408
 5.2
 0.71%8,569
 3.1
 2,379
 3.3
 0.75%
201320,640
 8.1
 5,686
 8.7
 0.90%15,926
 5.8
 4,433
 6.2
 0.87%
201421,708
 8.5
 5,815
 8.9
 1.01%17,376
 6.3
 4,733
 6.7
 1.01%
201539,960
 15.7
 10,343
 15.9
 0.71%32,221
 11.6
 8,477
 11.9
 0.71%
201660,028
 23.5
 15,197
 23.3
 0.76%50,121
 18.1
 12,900
 18.1
 0.77%
201758,584
 23.0
 14,802
 22.7
 0.36%52,837
 19.1
 13,458
 18.9
 0.60%
201811,308
 4.4
 2,822
 4.3
 0.01%65,496
 23.7
 16,507
 23.2
 0.25%
201911,151
 4.0
 2,796
 3.9
 0.02%
Total$255,092
 100.0
 $65,235
 100.0
 1.98%$276,699
 100.0
 $71,114
 100.0
 1.54%
(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, 2017:2018:
(U.S. Dollars in millions)IIF RIF DelinquencyIIF RIF Delinquency
Amount % Amount % Rate (1)Amount % Amount % Rate (1)
Policy year:                  
2008 and prior$26,140
 10.3
 $6,003
 9.2
 10.24%
20091,072
 0.4
 253
 0.4
 2.94%
2009 and prior$21,210
 7.7
 $4,900
 6.9
 8.90%
20101,089
 0.4
 295
 0.5
 2.31%646
 0.2
 175
 0.2
 2.62%
20113,828
 1.5
 1,046
 1.6
 1.37%2,530
 0.9
 701
 1.0
 1.57%
201213,247
 5.2
 3,629
 5.6
 0.75%9,650
 3.5
 2,664
 3.8
 0.78%
201321,840
 8.6
 5,996
 9.2
 0.95%16,823
 6.1
 4,676
 6.6
 0.89%
201422,884
 9.0
 6,112
 9.4
 1.10%18,274
 6.6
 4,947
 7.0
 0.97%
201541,991
 16.5
 10,828
 16.7
 0.77%33,781
 12.2
 8,849
 12.5
 0.69%
201662,020
 24.4
 15,643
 24.1
 0.80%52,324
 18.9
 13,407
 18.9
 0.77%
201759,803
 23.6
 15,099
 23.3
 0.35%54,287
 19.6
 13,793
 19.4
 0.55%
201867,013
 24.2
 16,883
 23.8
 0.15%
Total$253,914
 100.0
 $64,904
 100.0
 2.23%$276,538
 100.0
 $70,995
 100.0
 1.60%
(1)Represents the ending percentage of loans in default.

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The following tables provide supplemental disclosures on risk in force for our U.S. primary mortgage insurance business at the end of the last two quarters:March 31, 2019 and December 31, 2018:
(U.S. Dollars in millions)March 31, 2018 December 31, 2017March 31, 2019 December 31, 2018
Amount % Amount %Amount % Amount %
Credit quality (FICO):              
>=740$37,974
 58.2
 $37,794
 58.2
$41,053
 57.7
 $41,066
 57.8
680-73921,438
 32.9
 21,213
 32.7
24,122
 33.9
 23,954
 33.7
620-6795,117
 7.8
 5,159
 7.9
5,476
 7.7
 5,485
 7.7
<620706
 1.1
 738
 1.1
463
 0.7
 490
 0.7
Total$65,235
 100.0
 $64,904
 100.0
$71,114
 100.0
 $70,995
 100.0
Weighted average FICO score743
   743
  743
   743
  
              
Loan-to-value (LTV):              
95.01% and above$6,441
 9.9
 $6,337
 9.8
$8,175
 11.5
 $7,918
 11.2
90.01% to 95.00%36,387
 55.8
 36,174
 55.7
39,500
 55.5
 39,370
 55.5
85.01% to 90.00%19,490
 29.9
 19,482
 30.0
20,418
 28.7
 20,643
 29.1
85.00% and below2,917
 4.5
 2,911
 4.5
3,021
 4.2
 3,064
 4.3
Total$65,235
 100.0
 $64,904
 100.0
$71,114
 100.0
 $70,995
 100.0
Weighted average LTV92.9%   92.9%  93.1%   93.0%  
              
Total RIF, net of external reinsurance$49,921
   $49,100
  $55,957
   $55,755
  
(U.S. Dollars in millions)March 31, 2018 December 31, 2017March 31, 2019 December 31, 2018
Amount % Amount %Amount % Amount %
Total RIF by State:              
Texas$5,164
 7.9
 $5,151
 7.9
$5,488
 7.7
 $5,491
 7.7
California3,859
 5.9
 3,803
 5.9
4,574
 6.4
 4,505
 6.3
Florida2,977
 4.6
 2,881
 4.4
3,601
 5.1
 3,541
 5.0
Virginia2,786
 4.3
 2,773
 4.3
2,915
 4.1
 2,931
 4.1
Georgia2,565
 3.6
 2,573
 3.6
Illinois2,492
 3.5
 2,482
 3.5
North Carolina2,420
 3.7
 2,410
 3.7
2,477
 3.5
 2,505
 3.5
Georgia2,358
 3.6
 2,331
 3.6
Washington2,261
 3.5
 2,294
 3.5
2,408
 3.4
 2,408
 3.4
Illinois2,252
 3.5
 2,229
 3.4
Maryland2,244
 3.4
 2,234
 3.4
2,404
 3.4
 2,407
 3.4
Minnesota2,172
 3.3
 2,165
 3.3
2,404
 3.4
 2,400
 3.4
Others36,742
 56.3
 36,633
 56.4
39,786
 55.9
 39,752
 56.0
Total$65,235
 100.0
 $64,904
 100.0
$71,114
 100.0
 $70,995
 100.0
 
The following table provides supplemental disclosures for our U.S. primary mortgage insurance business related to insured loans and loss metrics:
(U.S. Dollars in thousands, except policy, loan and claim count)Three Months EndedThree Months Ended
March 31,
2018
 December 31,
2017
March 31,
(U.S. Dollars in thousands, except policy, loan and claim count)2019 2018
 
27,068
 23,770
20,665
 27,068
New notices (1)9,640
 14,097
New notices9,711
 9,640
Cures(11,592) (9,737)(9,706) (11,592)
Paid claims(1,054) (1,062)(843) (1,054)
Ending delinquent number of loans (1)(2)24,062
 27,068
Ending delinquent number of loans (1)19,827
 24,062
      
Ending number of policies in force (2)1,214,539
 1,213,382
Ending number of policies in force (1)1,286,877
 1,214,539
      
Delinquency rate (1)(2)1.98% 2.23%
Delinquency rate (1)1.54% 1.98%
      
Losses:      
Number of claims paid1,054
 1,062
843
 1,054
Total paid claims$47,645
 $49,769
$33,494
 $47,645
Average per claim$45.2
 $46.9
$39.7
 $45.2
Severity (3)105.2% 103.2%
Severity (2)98.9% 105.2%
Average reserve per default (in thousands)$18.3
 $16.5
$16.6
 $18.3
(1)There were no incremental new notices in the 2018 first quarter and 2,400 ending delinquent loans at March 31, 2018 from areas impacted by the 2017 third quarter hurricanes. The 2017 fourth quarter included approximately 3,700 incremental new notices and 3,200 ending delinquent loans at December 31, 2017 from areas impacted by the 2017 third quarter hurricanes.
(2)Includes first lien primary and pool policies.
(3)(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 10.512.2 to 1 at March 31, 2018,2019, compared to 10.813.0 to 1 at December 31, 2017.2018.
Shareholders’ Equity and Book Value per Share
Total shareholders’ equity available to Arch was $9.15$10.11 billion at March 31, 2018,2019, compared to $9.20$9.44 billion at December 31, 2017.2018. The decrease was primarily attributable to negative investment returns for the quarter, partially offset byincrease reflected strong underwriting results.and investment returns.
The following table presents the calculation of book value per share:
(U.S. dollars in thousands, except 
share data)
March 31,
2019
 December 31,
2018
Total shareholders’ equity available to Arch$10,114,596
 $9,439,827
Less preferred shareholders’ equity780,000
 780,000
Common shareholders’ equity available to Arch$9,334,596
 $8,659,827
Common shares and common share equivalents outstanding, net of treasury shares (1)403,738,764
 402,454,834
Book value per share$23.12
 $21.52
(1)Excludes the effects of 20,482,427 and 20,076,593 stock options and 2,095,337 and 1,307,304 restricted stock units outstanding at March 31, 2019 and December 31, 2018, respectively.

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The following table presents the calculation of book value per share:
(U.S. dollars in thousands, except 
share data)
March 31,
2018
 December 31,
2017
Total shareholders’ equity available to Arch$9,150,372
 $9,196,602
Less preferred shareholders’ equity780,000
 872,555
Common shareholders’ equity available to Arch$8,370,372
 $8,324,047
Common shares and common share equivalents outstanding, net of treasury shares (1)136,682,422
 136,652,139
Book value per share$61.24
 $60.91
(1)Excludes the effects of 6,612,575 and 6,590,058 stock options and 304,431 and 304,496 restricted stock units outstanding at March 31, 2018 and December 31, 2017, respectively.
LIQUIDITY

This section does not include information specific to Watford Re. 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’s common and preferred shares and counterparty credit risk (mitigated by collateral) arising from reinsurance transactions with Watford Re.
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.
For the three months ended March 31, 2018,2019, Arch Capital received dividends of $36.2$39.7 million from Arch Re Bermuda, our Bermuda-based reinsurer and insurer, which can pay approximately $2.13$2.58 billion to Arch Capital during the remainder of 20182019 without providing an affidavit to the Bermuda Monetary Authority (“BMA”).
For the three months ended March 31, 2018, Arch Capital Group (U.S.) Inc. (“Arch-U.S.”) received $25.0 million of dividends from Arch Reinsurance Company (“Arch Re U.S.”), our U.S.-licensed reinsurer. Arch Re U.S. can pay approximately $103.8 million to Arch-U.S. during the remainder of 2018, subject to the approval of the Commissioner of the Delaware Department of Insurance.
We expect that our liquidity needs, including our anticipated (re)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.
Cash Flows
The following table summarizes our cash flows from operating, investing and financing activities, excluding amounts related to the ‘other’ segment (i.e., Watford Re). See note 3,11, “Variable Interest Entities and Noncontrolling Interests,” for cash flows related to Watford Re.
 Three Months Ended
 March 31,
 2019 2018
Total cash provided by (used for): 
  
Operating activities$165,411
 $370,261
Investing activities(188,853) (22,475)
Financing activities13,055
 (272,994)
Effects of exchange rate changes on foreign currency cash3,188
 776
Increase (decrease) in cash and restricted cash$(7,199) $75,568
 Three Months Ended
 March 31,
 2018 2017
Total cash provided by (used for): 
  
Operating activities$370,261
 $121,734
Investing activities(22,475) (59,574)
Financing activities(272,994) (198,961)
Effects of exchange rate changes on foreign currency cash776
 2,617
Increase (decrease) in cash and restricted cash$75,568
 $(134,184)
Cash provided by operating activities for the three months ended March 31, 2018 reflected a higher level of premiums collected2019 were lower than in the 20172018 period, and an income tax refund, while the 2017 period reflected higher purchases of tax and loss bonds and outflows relatedprimarily due to the UGC acquisition.impact of a retroactive reinsurance transaction with a third party reinsurer.
Cash used for investing activities for the three months ended March 31, 20182019 was lowerhigher than in the 20172018 period, reflecting changesa decrease in cash collateral related toreceived on securities lending. In addition, activity for the 2018 period reflected higher net purchases of fixed maturity investments than in the 2017 period, offset by a decrease in short-term investments.
Cash used forprovided by financing activities for the three months ended March 31, 20182019 was higher than in the 20172018 period, and reflectedreflecting a $92.6 million outflow related todecrease in cash collateral received on securities lending. In addition, the 2018 first quarter included the redemption of our Series C preferred shares and $3.3 million of repurchases under our share repurchase program.$92.6 million.
CAPITAL RESOURCES

This section does not include information specific to Watford Re. 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’s common and preferred shares and counterparty credit risk (mitigated by collateral) arising from reinsurance transactions with Watford Re.
At March 31, 2018, total capital available to Arch of $11.26 billion consisted of $1.73 billion of senior notes, representing 15.4% of the total, $375.0 million of revolving credit agreement

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borrowings due in October 2021, representing 3.3% of the total, $780.0 million of preferred shares, representing 6.9% of the total, and common shareholders’ equity of $8.37 billion, representing 74.3% of the total. 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.
The following table provides an analysis of our capital structure:
(U.S. dollars in thousands, except
share data)
Mar 31,
2018
 Dec 31,
2017
Mar 31,
2019
 Dec 31,
2018
Debt:      
Senior notes, due May 2034$297,076
 $297,053
$300,000
 $300,000
Arch-U.S. senior notes, due Nov 2043 (1)494,646
 494,621
500,000
 500,000
Arch Finance senior notes, due Dec 2026 (1)496,135
 496,043
500,000
 500,000
Arch Finance senior notes, due Dec 2046 (1)445,186
 445,167
450,000
 450,000
Revolving credit agreement borrowings due Oct 2021375,000
 375,000
Deferred debt costs on senior notes(16,306) (16,472)
Revolving credit agreement borrowings due Oct 2021 (2)
 
Total$2,108,043
 $2,107,884
$1,733,694
 $1,733,528
      
Shareholders’ equity available to Arch:      
Series C non-cumulative preferred shares (2)$
 $92,555
Series E non-cumulative preferred shares450,000
 450,000
$450,000
 $450,000
Series F non-cumulative preferred shares330,000
 330,000
330,000
 330,000
Common shareholders’ equity8,370,372
 8,324,047
9,334,596
 8,659,827
Total$9,150,372
 $9,196,602
$10,114,596
 $9,439,827
      
Total capital available to Arch$11,258,415
 $11,304,486
$11,848,290
 $11,173,355
      
Senior notes to total capital (%)14.6
 15.5
Revolving credit agreement borrowings to total capital (%)
 
Debt to total capital (%)18.7
 18.6
14.6
 15.5
Preferred to total capital (%)6.6
 7.0
Debt and preferred to total capital (%)25.7
 26.4
21.2
 22.5
(1)Fully and unconditionally guaranteed by Arch Capital.
(2)Redeemed on January 2, 2018.$500 million unsecured facility for revolving loans and letters of credit.

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Arch Capital and Arch-U.S. are each holding companies and, accordingly, they conduct substantially all of their operations through their operating subsidiaries. Arch Capital Finance LLC (“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, or affiliates in the case of Arch Finance, and on their ability to distribute the earnings, loans or other payments from such subsidiaries or affiliates to Arch Capital, Arch-U.S. and Arch Finance, respectively.
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.” 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 March 31, 20182019 with an estimated PMIER sufficiency ratio of 133%146%, compared to 129%141% at December 31, 2017.2018.
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. Historically, our insurance, reinsurance and mortgage insurance subsidiaries have entered into separate reinsurance arrangements with Arch Re Bermuda covering individual lines of business. The reinsurance agreements between our U.S.-based property casualty insurance and reinsurance subsidiaries and Arch Re Bermuda were canceled on a cutoff basis as of January 1, 2018. As a result, the level of subject business ceded to Arch Re Bermuda for the reported periods was substantially lower in the 2018 first quarter than in 2017 and prior periods.
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. For the three months ended March 31, 2018,2019, Arch Capital repurchased 39,4050.1 million shares under the share repurchase program with an aggregate purchase price of $3.3 million. From April 1, 2018 to May 9, 2018, Arch Capital repurchased 1,379,080 shares under the share repurchase program with an aggregate purchase price of $110.5$2.9 million. Since the inception of the share repurchase program through May 9, 2018,March 31, 2019, Arch Capital has repurchased approximately 126.6386.3 million common shares for an aggregate purchase price of $3.80$3.97 billion. At May 9, 2018,March 31, 2019, approximately $332.7$160.9 million of share repurchases were available under the program, which may be effected from time
to time in open market or privately negotiated transactions through December 31, 2019.
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. 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.
CATASTROPHIC EVENTS AND SEVERE ECONOMIC EVENTS

We have large aggregate exposures to natural and man-made catastrophic events and severe economic events. Catastrophes can be caused by various events, including hurricanes, floods, windstorms, earthquakes, hailstorms, tornadoes, explosions, severe winter weather, fires, droughts and other natural

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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.
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 total shareholders’ equity available to Arch. We reserve the right to change this threshold at any time.
Based on in-force exposure estimated as of April 1, 2018,2019, our modeled peak zone catastrophe exposure was a windstorm affecting the Northeastern U.S., with a net probable maximum pre-tax loss of $477$371 million, followed by windstorms affecting Florida Tri-County and the Gulf of Mexico and Florida Tri-County regions with net probable maximum pre-tax losses of $472$313 million and $437$302 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. As of April 1, 2018,2019, our modeled peak zone earthquake exposure (Los Angeles(San Francisco earthquake) represented approximately 64%80% of our peak zone catastrophe exposure, and our modeled peak zone international exposure (Japan earthquake) was substantially less than both our peak zone windstorm and earthquake exposures.

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Effective July 1, 2018, our insurance operations had in effect a reinsurance program which provided coverage for certain property-catastrophe related losses equal to $275 million in excess of various retentions per occurrence. Such amounts compare to $200 million in excess of a $150 million retention per occurrence prior to July 1, 2018.
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). We reserve the right to change this threshold at any time. Based on in-force exposure estimated as of April 1, 2018,2019, our modeled
RDS loss was less than 17%10% 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 after 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 Factors—Risks Relating to Our Industry” and “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Catastrophic Events and Severe Economic Events” in our 20172018 Form 10-K.
OFF-BALANCE SHEET ARRANGEMENTS

Off-balance sheet arrangements are discussed in Management’s Discussion and Analysis of Financial Condition and Results of Operations contained in our 20172018 Form 10-K.
MARKET SENSITIVE INSTRUMENTS AND RISK MANAGEMENT

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 March 31, 2018.2019. Market risk represents the risk of changes in the fair value of a financial instrument and is comprised of several components, including liquidity, basis and price risks. 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 our investment in Watford Re’s common and preferred shares and

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counterparty credit risk (mitigated by collateral) arising from reinsurance transactions.
An analysis of material changes in market risk exposures at March 31, 20182019 that affect the quantitative and qualitative disclosures presented in our 20172018 Form 10-K (see section captioned “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Market Sensitive Instruments and Risk Management”) were as follows: 
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 fair value of our fixed maturities, fixed maturities pledged under securities lending agreements, short-term investments and certain of our other investments which invest in fixed income securities and the corresponding change in unrealized appreciation. As interest rates rise, the fair value of our interest rate sensitive 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. Accordingly, the actual effect

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Table of interest rate movements may differ materially from the amounts set forth in the following tables.Contents

The following table summarizes the effect that an immediate, parallel shift in the interest rate yield curve would have had on our fixed income securities:
(U.S. dollars in
billions)
Interest Rate Shift in Basis PointsInterest Rate Shift in Basis Points
-100 -50  +50 +100-100 -50  +50 +100
Mar 31, 2018 
  
  
  
  
Mar 31, 2019 
  
  
  
  
Total fair value$19.03
 $18.78
 $18.54
 $18.30
 $18.08
$19.61
 $19.29
 $18.98
 $18.64
 $18.32
Change from base2.6% 1.3%   (1.3)% (2.5)%3.3% 1.6%   (1.8)% (3.5)%
Change in unrealized value$0.48
 $0.24
   $(0.24) $(0.46)$0.63
 $0.30
   $(0.34) $(0.66)
                  
Dec 31, 2017         
Dec 31, 2018         
Total fair value$19.11
 $18.85
 $18.59
 $18.33
 $18.09
$19.23
 $18.91
 $18.62
 $18.30
 $17.98
Change from base2.8% 1.4%   (1.4)% (2.7)%3.3% 1.6%   (1.7)% (3.4)%
Change in unrealized value$0.52
 $0.26
   $(0.26) $(0.50)$0.61
 $0.30
   $(0.32) $(0.63)
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 securities and the corresponding change in unrealized appreciation. As credit spreads widen, the fair
value of our fixed income securities falls, and the converse is also true.
The following table summarizes the effect that an immediate, parallel shift in credit spreads in a static interest rate environment would have had on our fixed income securities:
(U.S. dollars in
billions)
Credit Spread Shift in Percentage PointsCredit Spread Shift in Percentage Points
-100 -50  +50 +100-100 -50  +50 +100
Mar 31, 2018 
  
  
  
  
Mar 31, 2019 
  
  
  
  
Total fair value$18.93
 $18.75
 $18.54
 $18.34
 $18.15
$19.42
 $19.19
 $18.98
 $18.77
 $18.55
Change from base2.1% 1.1%   (1.1)% (2.1)%2.3% 1.1%   (1.1)% (2.3)%
Change in unrealized value$0.39
 $0.20
   $(0.20) $(0.39)$0.44
 $0.21
   $(0.21) $(0.44)
                  
Dec 31, 2017         
Dec 31, 2018         
Total fair value$18.96
 $18.77
 $18.59
 $18.40
 $18.22
$19.08
 $18.84
 $18.62
 $18.39
 $18.15
Change from base2.0% 1.0%   (1.0)% (2.0)%2.5% 1.2%   (1.2)% (2.5)%
Change in unrealized value$0.37
 $0.19
   $(0.19) $(0.37)$0.47
 $0.22
   $(0.22) $(0.47)
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 on normal market conditions over a one year time horizon and is expressed as a percentage of the portfolio’s initial value. In other words, 95% of the time, should the risks taken into account in the VaR model perform per their historical tendencies, the portfolio’s loss in any one year period is expected to be less than or equal to the calculated VaR, stated
as a percentage of the measured portfolio’s initial value. As of March 31, 2018,2019, our portfolio’s VaR was estimated to be 3.27%3.29% compared to an estimated 3.10%3.02% at December 31, 2017.2018.
Equity Securities. At March 31, 20182019 and December 31, 2017,2018, the fair value of our investments in equity securities totaled $620.7$495.0 million and $576.0$368.8 million, respectively. These investments are exposed to price risk, which is the potential loss arising from decreases in fair value. An immediate hypothetical 10% decline in the value of each position would reduce the fair value of such investments by approximately $62.1$49.5 million and $57.6$36.9 million at March 31, 20182019 and December 31, 2017,2018, respectively, and would have decreased book value per share by approximately $0.45$0.12 and $0.42,$0.09, respectively. An immediate hypothetical 10% increase in the value of each position would increase the fair value of such investments by approximately $62.1$49.5 million and $57.6$36.9 million at March 31, 20182019 and December 31, 2017,2018, respectively, and would have increased book value per share by approximately $0.45$0.12 and $0.42,$0.09, respectively.
Investment-Related Derivatives. At March 31, 2018,2019, the notional value of all derivative instruments (excluding to-be-announced mortgage backed securities which are included in

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the fixed income securities analysis above and foreign currency forward contracts which are included in the foreign currency exchange risk analysis below) was $2.69$6.16 billion, compared to $2.44$4.95 billion at December 31, 2017.2018. If the underlying exposure of each investment-related derivative held at March 31, 20182019 depreciated by 100 basis points, it would have resulted in a reduction in net income of approximately $26.9$61.6 million, and a decrease in book value per share of approximately $0.20$0.15 per share, compared to $24.4$49.5 million and $0.18$0.12 per share, respectively, on investment-related derivatives held at December 31, 2017.2018. If the underlying exposure of each investment-related derivative held at March 31, 20182019 appreciated by 100 basis points, it would have resulted in an increase in net income of approximately $26.9$61.6 million, and an increase in book value per share of approximately $0.20$0.15 per share, compared to $24.4$49.5 million and $0.18$0.12 per share, respectively, on investment-related derivatives held at December 31, 2017.2018. See note 9,8, “Derivative Instruments,” to our consolidated financial statements for additional disclosures concerning derivatives.
For further discussion on investment activity, please refer to “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

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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 9,8, “Derivative Instruments,” to our consolidated financial statements for additional information.
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)
March 31,
2018
 December 31,
2017
March 31,
2019
 December 31,
2018
Net assets (liabilities), denominated in foreign currencies, excluding shareholders’ equity and derivatives$674,398
 $401,966
$(435,022) $(561,311)
Shareholders’ equity denominated in foreign currencies (1)353,954
 345,743
521,206
 478,678
Net foreign currency forward contracts outstanding (2)(141,980) (123,732)126,404
 241,442
Net exposures denominated in foreign currencies$886,372
 $623,977
$212,588
 $158,809
      
Pre-tax impact of a hypothetical 10% appreciation of the U.S. Dollar against foreign currencies: 
  
 
  
Shareholders’ equity$(88,637) $(62,398)$(21,259) $(15,881)
Book value per share$(0.65) $(0.46)$(0.05) $(0.04)
      
Pre-tax impact of a hypothetical 10% decline of the U.S. Dollar against foreign currencies: 
  
 
  
Shareholders’ equity$88,637
 $62,398
$21,259
 $15,881
Book value per share$0.65
 $0.46
$0.05
 $0.04
(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 Companywe generally attemptsattempt to match the currency of itsour projected liabilities with investments in the same currencies, from time to time the Companywe may elect to over or underweight one or more currencies, which could increase the Company’sour exposure to foreign currency fluctuations and increase the volatility of the Company’sour 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.


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OTHER FINANCIAL INFORMATION

The consolidated financial statements as of March 31, 20182019 and for the three month periodperiods ended March 31, 20182019 and 20172018 have been reviewed by PricewaterhouseCoopers LLP, the registrant's independent public accountants, whose report is included as an exhibit to this filing. The report of PricewaterhouseCoopers LLP states that they did not audit and they do not express an opinion on that unaudited financial information. Accordingly, the degree of reliance on their report on such information should be restricted in light of the limited nature of the review procedures applied. PricewaterhouseCoopers LLP is not subject to the liability provisions of Section 11 of the Securities Act of 1933 for their report on the unaudited financial information because that report is not a "report" or a "part" of the registration statement prepared or certified by PricewaterhouseCoopers LLP within the meaning of Sections 7 and 11 of the Securities Act of 1933.

ITEM 3. 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 Operations,” which information is hereby incorporated by reference. 

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ITEM 4. CONTROLS AND PROCEDURES
 
Evaluation of Disclosure Controls and Procedures
In connection with the filing of this Form 10-Q, our management, including the Chief Executive Officer and Chief Financial Officer, conducted an evaluation of the effectiveness of disclosure controls and procedures pursuant to applicable Exchange Act Rules as of the end of the period covered by this report. Based on that evaluation, the Chief Executive Officer and Chief Financial Officer concluded that the disclosure controls and procedures were effective as of the end of and during the period covered by this report with respect to information being recorded, processed, summarized and reported within time periods specified in the SEC’s rules and forms and with respect to timely communication to them and other members of management responsible for preparing periodic reports of all material information required to be disclosed in this report as it relates to ACGLArch Capital and its consolidated subsidiaries.
We continue to enhance our operating procedures and internal controls 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.
Changes in Internal Controls Over Financial Reporting
There have been no changes in internal control over financial reporting that occurred during the quarter ended March 31, 20182019 that have materially affected, or are reasonably likely to materially affect, internal control over financial reporting.

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PART II.  OTHER INFORMATION

ITEM 1. 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 March 31, 2018,2019, 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 1A. RISK FACTORS
There were no material changes from the risk factors previously disclosed in our Annual Report on Form 10-K for the year ended December 31, 2017.2018.

ITEM 2. UNREGISTERED SALES OF EQUITY SECURITIES AND USE OF PROCEEDS
The following table summarizes our purchases of common shares for the 20182019 first quarter:
  Issuer Purchases of Equity Securities
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)
1/1/2018 - 1/31/2018 10,718
 $90.77
 
 $446,501
2/1/2018 - 2/28/2018 9,786
 88.94
 
 $446,501
3/1/2018 - 3/31/2018 54,505
 84.42
 39,405
 $443,202
Total 75,009
 $85.92
 39,405
  
  Issuer Purchases of Equity Securities
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)
1/1/2019 - 1/31/2019 119,663
 $26.11
 110,598
 $160,867
2/1/2019 - 2/28/2019 65,520
 31.46
 
 $160,867
3/1/2019 - 3/31/2019 31,967
 32.50
 
 $160,867
Total 217,150
 $28.66
 110,598
  
(1)Represents 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 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 March 31, 20182019 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.
The following table summarizes our purchases of Series C non-cumulative preferred shares for the 2018 first quarter:
  Issuer Purchases of Equity Securities
Period 
Total Number of Shares
Purchased
 Average Price Paid per Share
1/1/2018 - 1/31/2018 3,702,193
 $25.00
Total 3,702,193
 $25.00


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ITEM 5. OTHER INFORMATION
In accordance with Section 10a(i)(2) of the Securities Exchange Act of 1934, as amended, we are responsible for disclosing non-audit services to be provided by our independent auditor, PricewaterhouseCoopers LLP, which are approved by the Audit Committee of our board of directors. During the 20182019 first quarter, the Audit Committee approved engagements of PricewaterhouseCoopers LLP for permitted non-audit services, which consisted of tax consulting services, tax compliance services and other accounting consulting services.
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.
Certain of our non-U.S. subsidiaries provideunderwrite insurance and facultative reinsurance on a global basis to non-U.S. insureds and insurers, including for liability, marine, aviation and energy risks. Coverage provided to non-Iranian business may indirectly cover an exposure in Iran. For example, certain of our operations underwrite global marine hull and cargo policies that provide coverage for vessels navigating into and out of ports worldwide. In lightworldwide, including Iran. For the quarter ended March 31, 2019, there has been no material amount of European Union and U.S. modificationspremium allocated or apportioned to activities relating to Iran, sanctions, including the issuance of General License H, and consistent with General License H, we have been notified that certain of our policyholders have begunare unable to attribute gross revenues or will begin to, ship cargo to andnet profits from Iran, and thatany such cargo may include transporting crude oil from Iran to another country. Since these policies because they insure multiple voyages and fleets containing multiple ships, we are unable to attribute gross revenues and net profits from such marine policies to these activities involving Iran. We intend for ourships. Such non-U.S. subsidiaries towill continue to provide such coverage only to the extent permitted by applicable law.

ITEM 6. EXHIBITS
Exhibit No.Description
10.1
10.2
10.3
10.4
10.5
15
31.1
31.2
32.1
32.2
101The following financial information from Arch Capital Group Ltd.’s Quarterly Report for the quarter ended March 31, 2018 formatted in XBRL: (i) Consolidated Balance Sheets at March 31, 2018 and December 31, 2017; (ii) Consolidated Statements of Income for the three month periods ended March 31, 2018 and 2017; (iii) Consolidated Statements of Comprehensive Income for the three month periods ended March 31, 2018 and 2017; (iv) Consolidated Statements of Changes in Shareholders’ Equity for the three month periods ended March 31, 2018 and 2017; (v) Consolidated Statements of Cash Flows for the three month periods ended March 31, 2018 and 2017; and (vi) Notes to Consolidated Financial Statements
Management contract or compensatory plan or arrangement




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ITEM 6. EXHIBITS
    Incorporated by Reference  
Exhibit Number Exhibit Description Form Original Number Date Filed Filed Herewith
10.1  8-K 10.1 March 21, 2019  
15        X
31.1        X
31.2        X
32.1        X
32.2        X
101 The following financial information from Arch Capital Group Ltd.’s Quarterly Report for the quarter ended March 31, 2019 formatted in XBRL: (i) Consolidated Balance Sheets at March 31, 2019 and December 31, 2018; (ii) Consolidated Statements of Income for the three month periods ended March 31, 2019 and 2018; (iii) Consolidated Statements of Comprehensive Income for the three month periods ended March 31, 2019 and 2018; (iv) Consolidated Statements of Changes in Shareholders’ Equity for the three month periods ended March 31, 2019 and 2018; (v) Consolidated Statements of Cash Flows for the three month periods ended March 31, 2019 and 2018; and (vi) Notes to Consolidated Financial Statements.       X
 Management contract or compensatory plan or arrangement        

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SIGNATURES
Pursuant to the requirements 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)
   
  /s/ Marc Grandisson
Date: May 9, 20187, 2019 Marc Grandisson
  President and Chief Executive Officer (Principal Executive Officer)
   
  /s/ Mark D. LyonsFrançois Morin
Date: May 9, 20187, 2019 Mark D. LyonsFrançois Morin
  Executive Vice President, Chief Financial Officer and Treasurer (Principal Financial and Accounting Officer)

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