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UNITED STATES
SECURITIES AND EXCHANGE COMMISSION
WASHINGTON, D.C.  20549
 
FORM 10-Q
QUARTERLY REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934
    
For the quarterly period ended JuneSeptember 30, 2019
   
Or
    
TRANSITION 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)
Bermuda98-0374481
(State or other jurisdiction of incorporation or organization)(I.R.S. Employer Identification No.)
  
Waterloo House, Ground Floor 
100 Pitts Bay Road,PembrokeHM 08,Bermuda(441)278-9250
(Address of principal executive offices)(Registrant’s telephone number, including area code)

Securities registered pursuant to Section 12(b) of the Exchange Act:
Title of each class Trading Symbol (s) Name of each exchange on which registered
Common shares, $0.0011 par value per share ACGL NASDAQ Stock Market
Depositary shares, each representing a 1/100th interest in a 5.25% Series E preferred share
 ACGLP NASDAQ Stock Market
Depositary shares, each representing a 1/100th interest in a 5.45% Series F preferred share
 ACGLO NASDAQ Stock Market
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     No
Indicate by check mark whether the registrant has submitted electronically every Interactive Data File required to be submitted 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 such files). Yes      No
Indicate by check mark whether the registrant is a large accelerated filer, an accelerated filer, a non-accelerated filer, 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 Accelerated Filer Non-accelerated Filer Smaller reporting company Emerging growth company
If an emerging growth company, indicate by check mark if the Registrant has elected not to use the extended transition period for complying with any new or revised financial accounting standards provided pursuant to Section 13(a) of the Exchange Act.
Indicate by check mark whether the Registrant is a shell company (as defined in Rule 12b-2 of the Exchange Act). Yes    No

As of AugustNovember 1, 2019, there were 404,987,803405,308,162 common shares, $0.0011 par value per share, of the registrant outstanding.


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  
  
75 
Item 1. 
Item 1A. 
75 
Item 2. 
Item 3. 
Item 4. 
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 any 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 JuneSeptember 30, 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 our business;
acts of terrorism, political unrest and other hostilities or other unforecasted and unpredictable events;
availability to us of reinsurance to manage our gross and net exposures and the cost of such reinsurance;
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 22019 SECONDTHIRD 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;
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 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, 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.
   
 
   
  
JuneSeptember 30, 2019 (unaudited) and December 31, 2018 
   
  
For the three and sixnine month periods ended JuneSeptember 30, 2019 and 2018 (unaudited) 
   
  
For the three and sixnine month periods ended JuneSeptember 30, 2019 and 2018 (unaudited) 
   
  
For the three and sixnine month periods ended JuneSeptember 30, 2019 and 2018 (unaudited) 
   
  
For the sixnine month periods ended JuneSeptember 30, 2019 and 2018 (unaudited) 
   
Notes to Consolidated Financial Statements (unaudited)  
 
11 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 


ARCH CAPITAL 42019 SECONDTHIRD 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 Interim Financial Statements

We have reviewed the accompanying consolidated balance sheet of Arch Capital Group Ltd. and its subsidiaries (the “Company”) as of JuneSeptember 30, 2019, and the related consolidated statements of income, comprehensive income, and changes in shareholders’ equity for each of the three-month and six-monthnine-month periods ended JuneSeptember 30, 2019 and 2018, and the consolidated statements of cash flows for the six-monthnine-month periods ended JuneSeptember 30, 2019 and 2018, 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, 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, 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, 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
August 7,November 8, 2019

ARCH CAPITAL 52019 SECONDTHIRD QUARTER FORM 10-Q

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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)  
June 30,
2019
 December 31,
2018
September 30,
2019
 December 31,
2018
Assets 
  
 
  
Investments: 
  
 
  
Fixed maturities available for sale, at fair value (amortized cost: $15,584,662 and $14,829,902)$15,881,732
 $14,699,010
Short-term investments available for sale, at fair value (amortized cost: $822,157 and $956,238)821,961
 955,880
Collateral received under securities lending, at fair value (amortized cost: $450,312 and $274,125)450,320
 274,133
Fixed maturities available for sale, at fair value (amortized cost: $16,146,333 and $14,829,902)$16,470,523
 $14,699,010
Short-term investments available for sale, at fair value (amortized cost: $752,207 and $956,238)751,989
 955,880
Collateral received under securities lending, at fair value (amortized cost: $430,255 and $274,125)430,263
 274,133
Equity securities, at fair value670,943
 338,899
550,485
 338,899
Investments accounted for using the fair value option3,721,035
 3,983,571
3,838,243
 3,983,571
Investments accounted for using the equity method1,581,972
 1,493,791
1,575,832
 1,493,791
Total investments23,127,963
 21,745,284
23,617,335
 21,745,284
      
Cash605,316
 646,556
880,099
 646,556
Accrued investment income119,252
 114,641
116,196
 114,641
Securities pledged under securities lending, at fair value (amortized cost: $436,699 and $266,786)440,510
 268,395
Securities pledged under securities lending, at fair value (amortized cost: $419,297 and $266,786)420,415
 268,395
Premiums receivable1,606,040
 1,299,150
1,618,186
 1,299,150
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses3,171,257
 2,919,372
3,168,195
 2,919,372
Contractholder receivables2,102,544
 2,079,111
2,094,683
 2,079,111
Ceded unearned premiums1,136,728
 975,469
1,168,258
 975,469
Deferred acquisition costs600,740
 569,574
622,028
 569,574
Receivable for securities sold164,592
 36,246
50,615
 36,246
Goodwill and intangible assets641,010
 634,920
624,500
 634,920
Other assets1,135,718
 929,611
1,192,093
 929,611
Total assets$34,851,670
 $32,218,329
$35,572,603
 $32,218,329
      
Liabilities      
Reserve for losses and loss adjustment expenses$12,230,316
 $11,853,297
$12,389,384
 $11,853,297
Unearned premiums4,056,860
 3,753,636
4,243,372
 3,753,636
Reinsurance balances payable531,990
 393,107
601,891
 393,107
Contractholder payables2,102,544
 2,079,111
2,094,683
 2,079,111
Collateral held for insured obligations237,056
 236,630
205,449
 236,630
Senior notes1,733,865
 1,733,528
1,871,386
 1,733,528
Revolving credit agreement borrowings491,006
 455,682
490,720
 455,682
Securities lending payable450,312
 274,125
430,255
 274,125
Payable for securities purchased294,109
 90,034
176,130
 90,034
Other liabilities904,438
 911,500
1,007,524
 911,500
Total liabilities23,032,496
 21,780,650
23,510,794
 21,780,650
      
Commitments and Contingencies


 




 


Redeemable noncontrolling interests206,475
 206,292
48,789
 206,292
      
Shareholders' Equity      
Non-cumulative preferred shares780,000
 780,000
780,000
 780,000
Common shares ($0.0011 par, shares issued: 573,761,683 and 570,737,283)638
 634
Common shares ($0.0011 par, shares issued: 574,173,205 and 570,737,283)638
 634
Additional paid-in capital1,847,949
 1,793,781
1,864,468
 1,793,781
Retained earnings10,322,975
 9,426,299
10,705,025
 9,426,299
Accumulated other comprehensive income (loss), net of deferred income tax206,827
 (178,720)211,714
 (178,720)
Common shares held in treasury, at cost (shares: 168,874,149 and 168,282,449)(2,401,037) (2,382,167)
Common shares held in treasury, at cost (shares: 168,942,674 and 168,282,449)(2,403,749) (2,382,167)
Total shareholders' equity available to Arch10,757,352
 9,439,827
11,158,096
 9,439,827
Non-redeemable noncontrolling interests855,347
 791,560
854,924
 791,560
Total shareholders' equity11,612,699
 10,231,387
12,013,020
 10,231,387
Total liabilities, noncontrolling interests and shareholders' equity$34,851,670
 $32,218,329
$35,572,603
 $32,218,329


See Notes to Consolidated Financial Statements

ARCH CAPITAL62019 SECONDTHIRD 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)(Unaudited) (Unaudited)
Three Months Ended Six Months EndedThree Months Ended Nine Months Ended
June 30, June 30,September 30, September 30,
2019 2018 2019 20182019 2018 2019 2018
Revenues 
  
  
  
 
  
  
  
Net premiums written$1,444,898
 $1,298,896
 $2,970,157
 $2,711,440
$1,613,457
 $1,333,553
 $4,583,614
 $4,044,993
Change in unearned premiums18,829
 37,867
 (137,564) (139,778)(175,434) (42,675) (312,998) (182,453)
Net premiums earned1,463,727
 1,336,763
 2,832,593
 2,571,662
1,438,023
 1,290,878
 4,270,616
 3,862,540
Net investment income155,038
 135,668
 311,987
 262,392
161,488
 144,024
 473,475
 406,416
Net realized gains (losses)120,806
 (76,611) 262,371
 (187,609)62,518
 (51,705) 324,889
 (239,314)
              
Other-than-temporary impairment losses(49) (470) (1,358) (632)(1,163) (492) (2,521) (1,124)
Less investment impairments recognized in other comprehensive income, before taxes
 
 
 

 
 
 
Net impairment losses recognized in earnings(49) (470) (1,358) (632)(1,163) (492) (2,521) (1,124)
              
Other underwriting income5,953
 3,874
 14,778
 9,223
3,326
 5,823
 18,104
 15,046
Equity in net income of investment funds accounted for using the equity method32,536
 8,472
 79,403
 36,541
17,130
 15,982
 96,533
 52,523
Other income1,129
 3,113
 2,212
 3,187
1,338
 (726) 3,550
 2,461
Total revenues1,779,140
 1,410,809
 3,501,986
 2,694,764
1,682,660
 1,403,784
 5,184,646
 4,098,548
              
Expenses              
Losses and loss adjustment expenses767,543
 726,153
 1,486,075
 1,363,013
802,455
 699,420
 2,288,530
 2,062,433
Acquisition expenses210,089
 202,838
 407,937
 394,214
211,120
 201,602
 619,057
 595,816
Other operating expenses198,914
 176,181
 400,077
 351,196
196,512
 161,098
 596,589
 512,294
Corporate expenses18,251
 22,512
 36,213
 37,824
17,061
 14,335
 53,274
 52,159
Amortization of intangible assets19,794
 26,472
 40,211
 53,208
20,003
 26,315
 60,214
 79,523
Interest expense29,280
 30,344
 58,345
 60,980
31,328
 29,730
 89,673
 90,710
Net foreign exchange (gains) losses4,952
 (53,706) 1,427
 (33,985)(33,124) (10,838) (31,697) (44,823)
Total expenses1,248,823
 1,130,794
 2,430,285
 2,226,450
1,245,355
 1,121,662
 3,675,640
 3,348,112
              
Income before income taxes530,317
 280,015
 1,071,701
 468,314
437,305
 282,122
 1,509,006
 750,436
Income tax expense(44,472) (23,668) (90,358) (45,583)(38,116) (33,356) (128,474) (78,939)
Net income$485,845
 $256,347
 $981,343
 $422,731
$399,189
 $248,766
 $1,380,532
 $671,497
Net (income) loss attributable to noncontrolling interests(16,891) (12,701) (63,861) (28,662)(6,736) (21,358) (70,597) (50,020)
Net income available to Arch468,954
 243,646
 917,482
 394,069
392,453
 227,408
 1,309,935
 621,477
Preferred dividends(10,403) (10,403) (20,806) (20,840)(10,403) (10,402) (31,209) (31,242)
Loss on redemption of preferred shares
 
 
 (2,710)
 
 
 (2,710)
Net income available to Arch common shareholders$458,551
 $233,243
 $896,676
 $370,519
$382,050
 $217,006
 $1,278,726
 $587,525
              
Net income per common share and common share equivalent 
  
  
  
 
  
  
  
Basic$1.14
 $0.58
 $2.24
 $0.91
$0.95
 $0.54
 $3.19
 $1.45
Diluted$1.12
 $0.56
 $2.19
 $0.89
$0.92
 $0.53
 $3.11
 $1.42
              
Weighted average common shares and common share equivalents outstanding     
  
     
  
Basic401,482,784
 404,800,421
 400,837,181
 406,162,508
402,564,121
 402,939,092
 401,419,153
 405,076,228
Diluted410,899,483
 413,111,205
 409,755,250
 415,460,756
413,180,201
 411,721,214
 410,807,402
 413,993,192




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)(Unaudited) (Unaudited)
Three Months Ended Six Months EndedThree Months Ended Nine Months Ended
June 30, June 30,September 30, September 30,
2019 2018 2019 20182019 2018 2019 2018
Comprehensive Income     
  
     
  
Net income$485,845
 $256,347
 $981,343
 $422,731
$399,189
 $248,766
 $1,380,532
 $671,497
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 period222,473
 (85,271) 448,360
 (251,948)59,290
 (53,308) 507,650
 (305,256)
Reclassification of net realized (gains) losses, net of income taxes, included in net income (loss)(55,345) 36,643
 (65,566) 99,104
(38,743) 23,203
 (104,309) 122,307
Foreign currency translation adjustments4,267
 (12,595) 9,783
 (11,313)(16,424) 2,063
 (6,641) (9,250)
Comprehensive income657,240
 195,124
 1,373,920
 258,574
403,312
 220,724
 1,777,232
 479,298
Net (income) loss attributable to noncontrolling interests(16,891) (12,701) (63,861) (28,662)(6,736) (21,358) (70,597) (50,020)
Other comprehensive (income) loss attributable to noncontrolling interests(2,891) 1,077
 (7,030) 1,750
764
 1,158
 (6,266) 2,908
Comprehensive income available to Arch$637,458
 $183,500
 $1,303,029
 $231,662
$397,340
 $200,524
 $1,700,369
 $432,186




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)(Unaudited) (Unaudited)
Three Months Ended Six Months EndedThree Months Ended Nine Months Ended
June 30, June 30,September 30, September 30,
2019 2018 2019 20182019 2018 2019 2018
Non-cumulative preferred shares     
  
     
  
Balance at beginning of period$780,000
 $780,000
 $780,000
 $872,555
$780,000
 $780,000
 $780,000
 $872,555
Preferred shares redeemed
 
 
 (92,555)
 
 
 (92,555)
Balance at end of period780,000
 780,000
 780,000
 780,000
780,000
 780,000
 780,000
 780,000
              
Convertible non-voting common equivalent preferred shares              
Balance at beginning of period
 
 
 489,627

 
 
 489,627
Preferred shares converted to common shares
 
 
 (489,627)
 
 
 (489,627)
Balance at end of period
 
 
 

 
 
 
              
Common shares              
Balance at beginning of period636
 630
 634
 611
638
 633
 634
 611
Common shares issued, net2
 3
 4
 22

 
 4
 22
Balance at end of period638
 633
 638
 633
638
 633
 638
 633
              
Additional paid-in capital     
  
     
  
Balance at beginning of period1,819,605
 1,737,978
 1,793,781
 1,230,617
1,847,949
 1,760,606
 1,793,781
 1,230,617
Preferred shares converted to common shares
 
 
 489,608

 
 
 489,608
Other changes28,344

22,628

54,168

40,381
16,519

14,893

70,687

55,274
Balance at end of period1,847,949
 1,760,606
 1,847,949
 1,760,606
1,864,468
 1,775,499
 1,864,468
 1,775,499
              
Retained earnings     
  
     
  
Balance at beginning of period9,864,424
 8,849,959
 9,426,299
 8,562,889
10,322,975
 9,083,202
 9,426,299
 8,562,889
Cumulative effect of an accounting change
 
 
 149,794

 
 
 149,794
Balance at beginning of period, as adjusted9,864,424
 8,849,959
 9,426,299
 8,712,683
10,322,975
 9,083,202
 9,426,299
 8,712,683
Net income485,845
 256,347
 981,343
 422,731
399,189
 248,766
 1,380,532
 671,497
Net (income) loss attributable to noncontrolling interests(16,891) (12,701) (63,861) (28,662)(6,736) (21,358) (70,597) (50,020)
Preferred share dividends(10,403) (10,403) (20,806) (20,840)(10,403) (10,402) (31,209) (31,242)
Loss on redemption of preferred shares
 
 
 (2,710)
 
 
 (2,710)
Balance at end of period10,322,975
 9,083,202
 10,322,975
 9,083,202
10,705,025
 9,300,208
 10,705,025
 9,300,208
              
Accumulated other comprehensive income (loss), net of deferred income tax              
Balance at beginning of period38,323
 (134,009) (178,720) 118,044
206,827
 (194,157) (178,720) 118,044
Unrealized appreciation (decline) in value of available-for-sale investments, net of deferred income tax:              
Balance at beginning of period97,202
 (96,238) (114,178) 157,400
261,627
 (143,353) (114,178) 157,400
Cumulative effect of an accounting change
 
 
 (149,794)
 
 
 (149,794)
Balance at beginning of period, as adjusted97,202
 (96,238) (114,178) 7,606
261,627
 (143,353) (114,178) 7,606
Unrealized holding gains (losses) during period, net of reclassification adjustment167,128
 (48,628) 382,794
 (152,844)20,547
 (30,105) 403,341
 (182,949)
Unrealized holding gains (losses) during period attributable to noncontrolling interests(2,703) 1,513
 (6,989) 1,885
1,019
 1,238
 (5,970) 3,123
Balance at end of period261,627
 (143,353) 261,627
 (143,353)283,193
 (172,220) 283,193
 (172,220)
Foreign currency translation adjustments, net of deferred income tax:              
Balance at beginning of period(58,879) (37,771) (64,542) (39,356)(54,800) (50,804) (64,542) (39,356)
Foreign currency translation adjustments4,267
 (12,595) 9,783
 (11,313)(16,424) 2,063
 (6,641) (9,250)
Foreign currency translation adjustments attributable to noncontrolling interests(188) (438) (41) (135)(255) (80) (296) (215)
Balance at end of period(54,800) (50,804) (54,800) (50,804)(71,479) (48,821) (71,479) (48,821)
Balance at end of period206,827
 (194,157) 206,827
 (194,157)211,714
 (221,041) 211,714
 (221,041)
              
Common shares held in treasury, at cost              
Balance at beginning of period(2,388,392) (2,084,186) (2,382,167) (2,077,741)(2,401,037) (2,266,529) (2,382,167) (2,077,741)
Shares repurchased for treasury(12,645) (182,343) (18,870) (188,788)(2,712) (13,622) (21,582) (202,410)
Balance at end of period(2,401,037) (2,266,529) (2,401,037) (2,266,529)(2,403,749) (2,280,151) (2,403,749) (2,280,151)
              
Total shareholders’ equity available to Arch10,757,352
 9,163,755
 10,757,352
 9,163,755
11,158,096
 9,355,148
 11,158,096
 9,355,148
Non-redeemable noncontrolling interests855,347
 861,153
 855,347
 861,153
854,924
 876,754
 854,924
 876,754
Total shareholders’ equity$11,612,699
 $10,024,908
 $11,612,699
 $10,024,908
$12,013,020
 $10,231,902
 $12,013,020
 $10,231,902

See Notes to Consolidated Financial Statements

ARCH CAPITAL92019 SECONDTHIRD QUARTER FORM 10-Q

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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)
Six Months EndedNine Months Ended
June 30,September 30,
2019 20182019 2018
Operating Activities 
  
 
  
Net income$981,343
 $422,731
$1,380,532
 $671,497
Adjustments to reconcile net income to net cash provided by operating activities:      
Net realized (gains) losses(264,293) 177,442
(329,053) 224,757
Net impairment losses recognized in earnings1,358
 632
2,521
 1,124
Equity in net income or loss of investment funds accounted for using the equity method and other income or loss(45,720) (13,543)(38,912) 6,357
Amortization of intangible assets40,211
 53,208
60,214
 79,523
Share-based compensation41,537
 35,419
54,432
 45,806
Changes in:      
Reserve for losses and loss adjustment expenses, net of unpaid losses and loss adjustment expenses recoverable154,396
 (77,891)377,074
 68,245
Unearned premiums, net of ceded unearned premiums137,564
 139,778
312,998
 182,453
Premiums receivable(302,050) (236,950)(328,765) (203,247)
Deferred acquisition costs(24,790) (35,111)(38,606) (36,074)
Reinsurance balances payable139,415
 88,961
214,902
 83,696
Other items, net(146,447) (57,790)(124,198) (3,150)
Net cash provided by (used for) operating activities712,524
 496,886
1,543,139
 1,120,987
Investing Activities 
  
 
  
Purchases of fixed maturity investments(16,332,646) (16,867,570)(24,010,623) (24,837,917)
Purchases of equity securities(431,939) (679,663)(524,051) (819,342)
Purchases of other investments(677,063) (1,017,147)(1,014,925) (1,543,332)
Proceeds from sales of fixed maturity investments15,632,482
 16,090,543
22,707,854
 23,310,203
Proceeds from sales of equity securities176,701
 622,068
371,130
 866,919
Proceeds from sales, redemptions and maturities of other investments534,698
 773,298
827,517
 1,178,035
Proceeds from redemptions and maturities of fixed maturity investments244,949
 511,448
394,719
 724,021
Net settlements of derivative instruments87,701
 4,498
92,423
 765
Net sales of short-term investments201,520
 451,901
129,078
 554,315
Change in cash collateral related to securities lending7,590
 176,304
6,990
 137,073
Purchases of fixed assets(16,359) (13,242)(27,635) (19,050)
Other(174,578) 49,961
(202,953) 58,227
Net cash provided by (used for) investing activities(746,944) 102,399
(1,250,476) (390,083)
Financing Activities 
  
 
  
Redemption of preferred shares
 (92,555)
 (92,555)
Purchases of common shares under share repurchase program(2,871) (173,575)(2,871) (184,529)
Proceeds from common shares issued, net(557) (13,851)518
 (12,029)
Proceeds from borrowings62,800
 130,579
200,083
 167,259
Repayments of borrowings(27,538) (373,000)(27,538) (427,000)
Change in cash collateral related to securities lending(7,590) (176,304)(6,990) (137,073)
Change in third party investment in redeemable noncontrolling interests(161,874) 
Dividends paid to redeemable noncontrolling interests(8,994) (8,994)(11,408) (13,491)
Other(3,529) (4,489)(5,207) (6,084)
Preferred dividends paid(20,806) (20,840)(31,209) (31,242)
Net cash provided by (used for) financing activities(9,085) (733,029)(46,496) (736,744)
      
Effects of exchange rate changes on foreign currency cash and restricted cash1,937
 (10,431)(8,335) (11,625)
      
Increase (decrease) in cash and restricted cash(41,568) (144,175)237,832
 (17,465)
Cash and restricted cash, beginning of year724,643
 727,284
724,643
 727,284
Cash and restricted cash, end of period$683,075
 $583,109
$962,475
 $709,819



See Notes to Consolidated Financial Statements

ARCH CAPITAL102019 SECONDTHIRD QUARTER FORM 10-Q

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

 
1.    Basis of Presentation and Recent Accounting Pronouncements

General
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.subsidiaries (“Watford”). Watford is a multi-line Bermuda reinsurance company. Watford’s own management and board of directors are responsible for its results and profitability. See 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.
Basis of Presentation
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, 2018 (“2018 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.
Recent Accounting Pronouncements
Recently Issued Accounting Standards Adopted
The Company adopted ASU 2016-02, “Leases (Topic 842)”, which provides a new comprehensive model for lease accounting. Topic 842 requires a lessee to recognize a liability to make lease payments (the lease liability) and a right-of-use asset representing its right to use the underlying asset for the lease term. The Company adopted the modified retrospective approach of this standard, that resulted in the recognition of a 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 the consolidated balance sheet as of January 1, 2019. The Company de-recognized the liability for deferred rent that was required under the previous 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 presented in the financial statements in accordance with previous lease accounting guidance. The Company also adopted the practical expedients as a package which allows the Company to 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 retained earnings was zero.0. The adoption of the updated guidance did not have a material 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,

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

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 cash flows.


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

The Company adopted ASU 2018-02 “Income Statement-Reporting Comprehensive Income (Topic 220) - Reclassification of Certain Tax Effects from Accumulated Other Comprehensive Income,” which 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.

The Company adopted ASU 2017-08 “Receivables - Nonrefundable Fees and Other Costs (Subtopic 310-20), Premium Amortization on Purchased Callable Debt Securities,” which was issued in March, 2017. This ASU shortens the amortization period for certain callable debt securities held at a premium and requires the premium to be amortized to the earliest call date. However, the new guidance does not require an accounting change for securities held at a discount whose discount continues to be amortized to maturity. The standard is effective for financial statements issued for fiscal years, and interim periods within those fiscal years, beginning after December 15, 2018, with early adoption permitted. The adoption of the guidance requires a modified retrospective approach with a cumulative-effect adjustment to retained earnings. The adoption of this ASU did not have a material effect on the Company’s consolidated financial statements.

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 2018 Form 10-K.
2.    Share Transactions

Share Repurchases 
The board of directors of Arch Capital has authorized the investment in Arch Capital’s common shares through a share
repurchase program. Since the inception of the share repurchase program, Arch Capital has repurchased 386.3 million common shares for an aggregate purchase price of $3.97 billion. For the sixnine months ended JuneSeptember 30, 2019, Arch Capital repurchased 0.1 million shares under the share repurchase program with an aggregate purchase price of $2.9 million. Arch Capital repurchased 6.56.9 million shares under the share repurchase program with an aggregate purchase price of $173.6$184.5 million during the sixnine months ended JuneSeptember 30, 2018. At JuneSeptember 30, 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.transactions. The timing and amount of the repurchase transactions under this program will depend on a variety of factors, including market conditions and corporate and regulatory considerations. (see note 16).
Conversion 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 JuneSeptember 30, 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 preferred shares were redeemed at a redemption price equal to $25 per share, plus all declared and unpaid dividends to (but excluding) the redemption date. In accordance with GAAP, following the redemption, original issuance costs related to such shares were removed from additional paid-in capital and recorded as a “loss on redemption of preferred shares.” Such adjustment had no impact on total shareholders’ equity or cash flows.

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

3.    Earnings Per Common Share

The following table sets forth the computation of basic and diluted earnings per common share:
Three Months Ended
Six Months EndedThree Months Ended
Nine Months Ended
June 30, June 30,September 30, September 30,
2019 2018 2019 20182019 2018 2019 2018
Numerator:              
Net income$485,845
 $256,347
 $981,343
 $422,731
$399,189
 $248,766
 $1,380,532
 $671,497
Amounts attributable to noncontrolling interests(16,891) (12,701) (63,861) (28,662)(6,736) (21,358) (70,597) (50,020)
Net income available to Arch468,954
 243,646
 917,482
 394,069
392,453
 227,408
 1,309,935
 621,477
Preferred dividends(10,403) (10,403) (20,806) (20,840)(10,403) (10,402) (31,209) (31,242)
Loss on redemption of preferred shares
 
 
 (2,710)
 
 
 (2,710)
Net income available to Arch common shareholders$458,551
 $233,243
 $896,676
 $370,519
$382,050
 $217,006
 $1,278,726
 $587,525
              
Denominator:              
Weighted average common shares outstanding401,482,784
 404,800,421
 400,837,181
 399,485,135
402,564,121
 402,939,092
 401,419,153
 400,649,105
Series D preferred shares (1)
 
 
 6,677,373

 
 
 4,427,123
Weighted average common shares and common share equivalents outstanding — basic401,482,784
 404,800,421
 400,837,181
 406,162,508
402,564,121
 402,939,092
 401,419,153
 405,076,228
Effect of dilutive common share equivalents:              
Nonvested restricted shares1,937,626
 1,575,749
 1,720,417
 1,837,356
1,895,972
 1,619,286
 1,637,015
 1,568,044
Stock options (2)7,479,073
 6,735,035
 7,197,652
 7,460,892
8,720,108
 7,162,836
 7,751,234
 7,348,920
Weighted average common shares and common share equivalents outstanding — diluted410,899,483
 413,111,205
 409,755,250
 415,460,756
413,180,201
 411,721,214
 410,807,402
 413,993,192
              
Earnings per common share:              
Basic$1.14
 $0.58
 $2.24
 $0.91
$0.95
 $0.54
 $3.19
 $1.45
Diluted$1.12
 $0.56
 $2.19
 $0.89
$0.92
 $0.53
 $3.11
 $1.42
(1)
Such shares are convertible non-voting common equivalent preferred shares issued in connection with the UGC acquisition. See 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 2019 secondthird quarter and 2018 secondthird quarter, the number of stock options excluded were 2,016,83037,394 and 5,350,733,4,396,352, respectively. For the sixnine months ended JuneSeptember 30, 2019 and 2018 period, the number of stock options excluded were 2,560,7552,198,115 and 5,372,789,5,481,584, respectively.

ARCH CAPITAL 132019 SECONDTHIRD QUARTER FORM 10-Q

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

4.    Segment Information

The Company classifies its businesses into three3 underwriting segments — insurance, reinsurance and mortgage — and two2 other operating segments — ‘other’ and corporate (non-underwriting). The Company determined its reportable segments using the management approach described in accounting guidance regarding disclosures about segments of an enterprise and related information. The accounting policies of the segments are the same as those used for the preparation of the Company’s consolidated financial statements. Intersegment business is allocated to the segment accountable for the underwriting results.
The Company’s insurance, reinsurance and mortgage segments each have managers who are responsible for the overall profitability of their respective segments and who are directly accountable to the Company’s chief operating decision makers, the 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, 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 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.

ARCH CAPITAL 142019 SECONDTHIRD QUARTER FORM 10-Q

Table of Contents
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
June 30, 2019September 30, 2019
Insurance Reinsurance Mortgage Sub-Total Other TotalInsurance Reinsurance Mortgage Sub-Total Other Total
                      
Gross premiums written (1)$919,925
 $545,547
 $364,465
 $1,829,829
 $161,978
 $1,937,809
$1,005,874
 $662,572
 $375,092
 $2,043,292
 $249,960
 $2,181,121
Premiums ceded(292,095) (169,457) (42,857) (504,301) (42,608) (492,911)(302,034) (226,096) (57,703) (585,587) (94,208) (567,664)
Net premiums written627,830
 376,090
 321,608
 1,325,528
 119,370
 1,444,898
703,840
 436,476
 317,389
 1,457,705
 155,752
 1,613,457
Change in unearned premiums(35,388) (8,906) 31,175
 (13,119) 31,948
 18,829
(98,504) (72,621) 25,611
 (145,514) (29,920) (175,434)
Net premiums earned592,442
 367,184
 352,783
 1,312,409
 151,318
 1,463,727
605,336
 363,855
 343,000
 1,312,191
 125,832
 1,438,023
Other underwriting income (loss)
 1,224
 4,056
 5,280
 673
 5,953

 (1,208) 3,955
 2,747
 579
 3,326
Losses and loss adjustment expenses(389,172) (240,958) (25,997) (656,127) (111,416) (767,543)(422,782) (270,379) (13,080) (706,241) (96,214) (802,455)
Acquisition expenses(91,094) (56,785) (32,654) (180,533) (29,556) (210,089)(91,259) (62,393) (34,396) (188,048) (23,072) (211,120)
Other operating expenses(109,523) (33,960) (39,819) (183,302) (15,612) (198,914)(115,408) (32,533) (37,003) (184,944) (11,568) (196,512)
Underwriting income (loss)$2,653
 $36,705
 $258,369
 297,727
 (4,593) 293,134
$(24,113) $(2,658) $262,476
 235,705
 (4,443) 231,262
                      
Net investment income      123,038
 32,000
 155,038
      126,874
 34,614
 161,488
Net realized gains (losses)      125,112
 (4,306) 120,806
      81,177
 (18,659) 62,518
Net impairment losses recognized in earnings      (49) 
 (49)      (1,163) 
 (1,163)
Equity in net income (loss) of investment funds accounted for using the equity method      32,536
 
 32,536
      17,130
 
 17,130
Other income (loss)      1,129
 
 1,129
      1,338
 
 1,338
Corporate expenses (2)      (16,073) 
 (16,073)      (15,066) 
 (15,066)
Transaction costs and other (2)      (2,178) 
 (2,178)      (1,995) 
 (1,995)
Amortization of intangible assets      (19,794) 
 (19,794)      (20,003) 
 (20,003)
Interest expense      (23,375) (5,905) (29,280)      (23,237) (8,091) (31,328)
Net foreign exchange gains (losses)      (6,190) 1,238
 (4,952)      29,794
 3,330
 33,124
Income before income taxes      511,883
 18,434
 530,317
      430,554
 6,751
 437,305
Income tax expense      (44,452) (20) (44,472)      (38,116) 
 (38,116)
Net income      467,431
 18,414
 485,845
      392,438
 6,751
 399,189
Dividends attributable to redeemable noncontrolling interests      
 (4,590) (4,590)      
 (6,600) (6,600)
Amounts attributable to nonredeemable noncontrolling interests      
 (12,301) (12,301)      
 (136) (136)
Net income available to Arch      467,431
 1,523
 468,954
      392,438
 15
 392,453
Preferred dividends      (10,403) 
 (10,403)      (10,403) 
 (10,403)
Net income available to Arch common shareholders      $457,028
 $1,523
 $458,551
      $382,035
 $15
 $382,050
                      
Underwriting Ratios 
  
  
    
  
 
  
  
    
  
Loss ratio65.7% 65.6% 7.4% 50.0% 73.6% 52.4%69.8% 74.3% 3.8% 53.8% 76.5% 55.8%
Acquisition expense ratio15.4% 15.5% 9.3% 13.8% 19.5% 14.4%15.1% 17.1% 10.0% 14.3% 18.3% 14.7%
Other operating expense ratio18.5% 9.2% 11.3% 14.0% 10.3% 13.6%19.1% 8.9% 10.8% 14.1% 9.2% 13.7%
Combined ratio99.6% 90.3% 28.0% 77.8% 103.4% 80.4%104.0% 100.3% 24.6% 82.2% 104.0% 84.2%
                      
Goodwill and intangible assets$157,440
 $
 $475,920
 $633,360
 $7,650
 $641,010
$158,990
 $
 $457,860
 $616,850
 $7,650
 $624,500

(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 ‘transaction costs and other.’


ARCH CAPITAL 152019 SECONDTHIRD QUARTER FORM 10-Q

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

Three Months EndedThree Months Ended
June 30, 2018September 30, 2018
Insurance Reinsurance Mortgage Sub-Total Other TotalInsurance Reinsurance Mortgage Sub-Total Other Total
                      
Gross premiums written (1)$769,372
 $490,327
 $330,990
 $1,591,202
 $175,175
 $1,696,544
$836,820
 $435,396
 $350,559
 $1,622,532
 $185,033
 $1,731,328
Premiums ceded(245,265) (136,247) (50,867) (432,892) (34,589) (397,648)(259,968) (123,705) (57,226) (440,656) (33,356) (397,775)
Net premiums written524,107
 354,080
 280,123
 1,158,310
 140,586
 1,298,896
576,852
 311,691
 293,333
 1,181,876
 151,677
 1,333,553
Change in unearned premiums22,342
 (13,762) 10,355
 18,935
 18,932
 37,867
(15,794) (18,418) 7,591
 (26,621) (16,054) (42,675)
Net premiums earned546,449
 340,318
 290,478
 1,177,245
 159,518
 1,336,763
561,058
 293,273
 300,924
 1,155,255
 135,623
 1,290,878
Other underwriting income (loss)
 (129) 3,315
 3,186
 688
 3,874

 1,387
 3,733
 5,120
 703
 5,823
Losses and loss adjustment expenses(357,465) (229,956) (21,591) (609,012) (117,141) (726,153)(409,435) (183,413) (9,615) (602,463) (96,957) (699,420)
Acquisition expenses(90,670) (50,142) (27,737) (168,549) (34,289) (202,838)(88,255) (50,367) (33,361) (171,983) (29,619) (201,602)
Other operating expenses(92,680) (35,678) (38,729) (167,087) (9,094) (176,181)(90,081) (29,936) (31,122) (151,139) (9,959) (161,098)
Underwriting income (loss)$5,634
 $24,413
 $205,736
 235,783
 (318) 235,465
$(26,713) $30,944
 $230,559
 234,790
 (209) 234,581
                      
Net investment income      107,761
 27,907
 135,668
      114,328
 29,696
 144,024
Net realized gains (losses)      (59,545) (17,066) (76,611)      (47,010) (4,695) (51,705)
Net impairment losses recognized in earnings      (470) 
 (470)      (492) 
 (492)
Equity in net income (loss) of investment funds accounted for using the equity method      8,472
 
 8,472
      15,982
 
 15,982
Other income (loss)      3,113
 
 3,113
      (726) 
 (726)
Corporate expenses (2)      (15,604) 
 (15,604)      (13,244) 
 (13,244)
Transaction costs and other (2)      (6,908) 
 (6,908)      (1,091) 
 (1,091)
Amortization of intangible assets      (26,472) 
 (26,472)      (26,315) 
 (26,315)
Interest expense      (26,058) (4,286) (30,344)      (24,666) (5,064) (29,730)
Net foreign exchange gains (losses)      46,211
 7,495
 53,706
      7,130
 3,708
 10,838
Income before income taxes      266,283
 13,732
 280,015
      258,686
 23,436
 282,122
Income tax expense      (23,644) (24) (23,668)      (33,356) 
 (33,356)
Net income      242,639
 13,708
 256,347
      225,330
 23,436
 248,766
Dividends attributable to redeemable noncontrolling interests      
 (4,585) (4,585)      
 (4,599) (4,599)
Amounts attributable to nonredeemable noncontrolling interests      
 (8,116) (8,116)      
 (16,759) (16,759)
Net income available to Arch      242,639
 1,007
 243,646
      225,330
 2,078
 227,408
Preferred dividends      (10,403) 
 (10,403)      (10,402) 
 (10,402)
Net income available to Arch common shareholders      $232,236
 $1,007
 $233,243
      $214,928
 $2,078
 $217,006
                      
Underwriting Ratios 
  
  
    
  
 
  
  
    
  
Loss ratio65.4% 67.6% 7.4% 51.7% 73.4% 54.3%73.0% 62.5% 3.2% 52.1% 71.5% 54.2%
Acquisition expense ratio16.6% 14.7% 9.5% 14.3% 21.5% 15.2%15.7% 17.2% 11.1% 14.9% 21.8% 15.6%
Other operating expense ratio17.0% 10.5% 13.3% 14.2% 5.7% 13.2%16.1% 10.2% 10.3% 13.1% 7.3% 12.5%
Combined ratio99.0% 92.8% 30.2% 80.2% 100.6% 82.7%104.8% 89.9% 24.6% 80.1% 100.6% 82.3%
                      
Goodwill and intangible assets$20,724
 $
 $564,634
 $585,358
 $7,650
 $593,008
$20,141
 $
 $538,871
 $559,012
 $7,650
 $566,662

(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 ‘transaction costs and other.’


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:

ARCH CAPITAL 162019 SECONDTHIRD QUARTER FORM 10-Q

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

Six Months EndedNine Months Ended
June 30, 2019September 30, 2019
Insurance Reinsurance Mortgage Sub-Total Other TotalInsurance Reinsurance Mortgage Sub-Total Other Total
                      
Gross premiums written (1)$1,861,879
 $1,228,402
 $720,515
 $3,810,282
 $348,667
 $4,015,688
$2,867,753
 $1,890,974
 $1,095,607
 $5,853,574
 $598,627
 $6,196,809
Premiums ceded(612,717) (401,024) (91,655) (1,104,882) (83,910) (1,045,531)(914,751) (627,120) (149,358) (1,690,469) (178,118) (1,613,195)
Net premiums written1,249,162
 827,378
 628,860
 2,705,400
 264,757
 2,970,157
1,953,002
 1,263,854
 946,249
 4,163,105
 420,509
 4,583,614
Change in unearned premiums(103,215) (113,829) 46,825
 (170,219) 32,655
 (137,564)(201,719) (186,450) 72,436
 (315,733) 2,735
 (312,998)
Net premiums earned1,145,947
 713,549
 675,685
 2,535,181
 297,412
 2,832,593
1,751,283
 1,077,404
 1,018,685
 3,847,372
 423,244
 4,270,616
Other underwriting income (loss)
 5,601
 7,912
 13,513
 1,265
 14,778

 4,393
 11,867
 16,260
 1,844
 18,104
Losses and loss adjustment expenses(745,895) (480,768) (37,146) (1,263,809) (222,266) (1,486,075)(1,168,677) (751,147) (50,226) (1,970,050) (318,480) (2,288,530)
Acquisition expenses(173,918) (111,111) (64,326) (349,355) (58,582) (407,937)(265,177) (173,504) (98,722) (537,403) (81,654) (619,057)
Other operating expenses(222,919) (69,664) (79,694) (372,277) (27,800) (400,077)(338,327) (102,197) (116,697) (557,221) (39,368) (596,589)
Underwriting income (loss)$3,215
 $57,607
 $502,431
 563,253
 (9,971) 553,282
$(20,898) $54,949
 $764,907
 798,958
 (14,414) 784,544
                      
Net investment income      244,287
 67,700
 311,987
      371,161
 102,314
 473,475
Net realized gains (losses)      237,545
 24,826
 262,371
      318,722
 6,167
 324,889
Net impairment losses recognized in earnings      (1,358) 
 (1,358)      (2,521) 
 (2,521)
Equity in net income (loss) of investment funds accounted for using the equity method      79,403
 
 79,403
      96,533
 
 96,533
Other income (loss)      2,212
 
 2,212
      3,550
 
 3,550
Corporate expenses (2)      (32,845) 
 (32,845)      (47,911) 
 (47,911)
Transaction costs and other (2)      (3,368) 
 (3,368)      (5,363) 
 (5,363)
Amortization of intangible assets      (40,211) 
 (40,211)      (60,214) 
 (60,214)
Interest expense      (46,857) (11,488) (58,345)      (70,094) (19,579) (89,673)
Net foreign exchange gains (losses)      (1,015) (412) (1,427)      28,779
 2,918
 31,697
Income before income taxes      1,001,046
 70,655
 1,071,701
      1,431,600
 77,406
 1,509,006
Income tax expense      (90,338) (20) (90,358)      (128,454) (20) (128,474)
Net income      910,708
 70,635
 981,343
      1,303,146
 77,386
 1,380,532
Dividends attributable to redeemable noncontrolling interests      
 (9,178) (9,178) ��    
 (15,778) (15,778)
Amounts attributable to nonredeemable noncontrolling interests      
 (54,683) (54,683)      
 (54,819) (54,819)
Net income available to Arch      910,708
 6,774
 917,482
      1,303,146
 6,789
 1,309,935
Preferred dividends      (20,806) 
 (20,806)      (31,209) 
 (31,209)
Net income available to Arch common shareholders      $889,902
 $6,774
 $896,676
      $1,271,937
 $6,789
 $1,278,726
                      
Underwriting Ratios 
  
  
    
  
 
  
  
    
  
Loss ratio65.1% 67.4% 5.5% 49.9% 74.7% 52.5%66.7% 69.7% 4.9% 51.2% 75.2% 53.6%
Acquisition expense ratio15.2% 15.6% 9.5% 13.8% 19.7% 14.4%15.1% 16.1% 9.7% 14.0% 19.3% 14.5%
Other operating expense ratio19.5% 9.8% 11.8% 14.7% 9.3% 14.1%19.3% 9.5% 11.5% 14.5% 9.3% 14.0%
Combined ratio99.8% 92.8% 26.8% 78.4% 103.7% 81.0%101.1% 95.3% 26.1% 79.7% 103.8% 82.1%
(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 ‘transaction costs and other.’


ARCH CAPITAL 172019 SECONDTHIRD QUARTER FORM 10-Q

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

Six Months EndedNine Months Ended
June 30, 2018September 30, 2018
Insurance Reinsurance Mortgage Sub-Total Other TotalInsurance Reinsurance Mortgage Sub-Total Other Total
                      
Gross premiums written (1)$1,592,750
 $1,067,810
 $652,168
 $3,312,807
 $389,045
 $3,534,758
$2,429,570
 $1,503,206
 $1,002,727
 $4,935,339
 $574,078
 $5,266,086
Premiums ceded(492,445) (331,977) (97,004) (921,505) (68,907) (823,318)(752,413) (455,682) (154,230) (1,362,161) (102,263) (1,221,093)
Net premiums written1,100,305
 735,833
 555,164
 2,391,302
 320,138
 2,711,440
1,677,157
 1,047,524
 848,497
 3,573,178
 471,815
 4,044,993
Change in unearned premiums(15,119) (116,343) 15,556
 (115,906) (23,872) (139,778)(30,913) (134,761) 23,147
 (142,527) (39,926) (182,453)
Net premiums earned1,085,186
 619,490
 570,720
 2,275,396
 296,266
 2,571,662
1,646,244
 912,763
 871,644
 3,430,651
 431,889
 3,862,540
Other underwriting income (loss)
 1,103
 6,731
 7,834
 1,389
 9,223

 2,490
 10,464
 12,954
 2,092
 15,046
Losses and loss adjustment expenses(711,195) (371,631) (65,057) (1,147,883) (215,130) (1,363,013)(1,120,630) (555,044) (74,672) (1,750,346) (312,087) (2,062,433)
Acquisition expenses(175,839) (98,461) (54,304) (328,604) (65,610) (394,214)(264,094) (148,828) (87,665) (500,587) (95,229) (595,816)
Other operating expenses(184,654) (71,249) (77,500) (333,403) (17,793) (351,196)(274,735) (101,185) (108,622) (484,542) (27,752) (512,294)
Underwriting income (loss)$13,498
 $79,252
 $380,590
 473,340
 (878) 472,462
$(13,215) $110,196
 $611,149
 708,130
 (1,087) 707,043
                      
Net investment income      208,004
 54,388
 262,392
      322,332
 84,084
 406,416
Net realized gains (losses)      (171,404) (16,205) (187,609)      (218,414) (20,900) (239,314)
Net impairment losses recognized in earnings      (632) 
 (632)      (1,124) 
 (1,124)
Equity in net income (loss) of investment funds accounted for using the equity method      36,541
 
 36,541
      52,523
 
 52,523
Other income (loss)      3,187
 
 3,187
      2,461
 
 2,461
Corporate expenses (2)      (30,086) 
 (30,086)      (43,330) 
 (43,330)
Transaction costs and other (2)      (7,738) 
 (7,738)      (8,829) 
 (8,829)
Amortization of intangible assets      (53,208) 
 (53,208)      (79,523) 
 (79,523)
Interest expense      (51,965) (9,015) (60,980)      (76,631) (14,079) (90,710)
Net foreign exchange gains (losses)      31,172
 2,813
 33,985
      38,302
 6,521
 44,823
Income before income taxes      437,211
 31,103
 468,314
      695,897
 54,539
 750,436
Income tax expense      (45,556) (27) (45,583)      (78,912) (27) (78,939)
Net income      391,655
 31,076
 422,731
      616,985
 54,512
 671,497
Dividends attributable to redeemable noncontrolling interests      
 (9,170) (9,170)      
 (13,769) (13,769)
Amounts attributable to nonredeemable noncontrolling interests      
 (19,492) (19,492)      
 (36,251) (36,251)
Net income available to Arch      391,655
 2,414
 394,069
      616,985
 4,492
 621,477
Preferred dividends      (20,840) 
 (20,840)      (31,242) 
 (31,242)
Loss on redemption of preferred shares      (2,710) 
 (2,710)      (2,710) 
 (2,710)
Net income available to Arch common shareholders      $368,105
 $2,414
 $370,519
      $583,033
 $4,492
 $587,525
                      
Underwriting Ratios 
  
  
    
  
 
  
  
    
  
Loss ratio65.5% 60.0% 11.4% 50.4% 72.6% 53.0%68.1% 60.8% 8.6% 51.0% 72.3% 53.4%
Acquisition expense ratio16.2% 15.9% 9.5% 14.4% 22.1% 15.3%16.0% 16.3% 10.1% 14.6% 22.0% 15.4%
Other operating expense ratio17.0% 11.5% 13.6% 14.7% 6.0% 13.7%16.7% 11.1% 12.5% 14.1% 6.4% 13.3%
Combined ratio98.7% 87.4% 34.5% 79.5% 100.7% 82.0%100.8% 88.2% 31.2% 79.7% 100.7% 82.1%

(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 ‘transaction costs and other.’




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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

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 Ended Six Months EndedThree Months Ended Nine Months Ended
June 30, June 30,September 30, September 30,
2019 2018 2019 20182019 2018 2019 2018
Reserve for losses and loss adjustment expenses at beginning of period$12,010,041
 $11,496,205
 $11,853,297
 $11,383,792
$12,230,316
 $11,424,337
 $11,853,297
 $11,383,792
Unpaid losses and loss adjustment expenses recoverable2,970,159
 2,446,990
 2,814,291
 2,464,910
3,024,797
 2,651,749
 2,814,291
 2,464,910
Net reserve for losses and loss adjustment expenses at beginning of period9,039,882
 9,049,215
 9,039,006
 8,918,882
9,205,519
 8,772,588
 9,039,006
 8,918,882
              
Net incurred losses and loss adjustment expenses relating to losses occurring in:              
Current year805,728
 790,742
 1,563,692
 1,478,627
855,352
 779,043
 2,419,044
 2,257,670
Prior years(38,185) (64,589) (77,617) (115,614)(52,897) (79,623) (130,514) (195,237)
Total net incurred losses and loss adjustment expenses767,543
 726,153
 1,486,075
 1,363,013
802,455
 699,420
 2,288,530
 2,062,433
              
Retroactive reinsurance transactions (1)
 (420,404) (225,500) (420,404)
 
 (225,500) (420,404)
              
Net foreign exchange (gains) losses(1,277) (120,292) (1,781) (76,278)(73,200) (33,783) (74,981) (110,061)
              
Net paid losses and loss adjustment expenses relating to losses occurring in:              
Current year(61,148) (59,022) (125,488) (95,022)(175,611) (149,999) (301,099) (245,021)
Prior years(539,481) (403,062) (966,793) (917,603)(399,948) (396,695) (1,366,741) (1,314,298)
Total net paid losses and loss adjustment expenses(600,629) (462,084) (1,092,281) (1,012,625)(575,559) (546,694) (1,667,840) (1,559,319)
              
Net reserve for losses and loss adjustment expenses at end of period9,205,519
 8,772,588
 9,205,519
 8,772,588
9,359,215
 8,891,531
 9,359,215
 8,891,531
Unpaid losses and loss adjustment expenses recoverable3,024,797
 2,651,749
 3,024,797
 2,651,749
3,030,169
 2,662,790
 3,030,169
 2,662,790
Reserve for losses and loss adjustment expenses at end of period$12,230,316
 $11,424,337
 $12,230,316
 $11,424,337
$12,389,384
 $11,554,321
 $12,389,384
 $11,554,321

(1)During the 2019 first quarter and 2018 second quarter, a subsidiary of the Company entered into two separate retroactive reinsurance transactions with third party reinsurers to reinsure run-off liabilities associated with certain U.S. insurance exposures.
Development on Prior Year Loss Reserves

2019 SecondThird Quarter

During the 2019 secondthird quarter, the Company recorded net favorable development on prior year loss reserves of $38.2$52.9 million, which consisted of $2.6$4.4 million of favorable development from the insurance segment, $12.7$15.3 million from the reinsurance segment, $22.8$33.0 million from the mortgage segment and $0.1$0.2 million from the ‘other’ segment.
The insurance segment’s net favorable development of $2.6$4.4 million, or 0.40.7 loss ratio points, for the 2019 secondthird quarter consisted of $8.0$24.8 million of net favorable development in short-tailed lines $10.4and $20.4 million of net adverse development in medium-tailed lines and $4.9 million of net favorable development in long-tailed lines. Net favorable development in short-tailed lines primarily resulted from lenders products and property (including special risk other than marine) reserves across all accident years (i.e., the year in which a loss occurred). Net adverse development in medium-tailed and long-tailed lines included $6.3 million of adverse development in executive assurance reserves, primarily resulted from $15.5the 2016 to 2018 accident years, $4.9 million of adverse development on casualty reserves, primarily related to contract
binding business across most accident years, $4.2 million of adverse development on program business. Such amounts were partially offset by $5.1 million of net favorable development in other medium-tailed lines, including
surety business, and professional liability, across most accident years. Net favorable development in long-tailed lines primarily resulted from reductions in executive assurance reserves of $5.1 million, primarily from the 20082018 accident year, and $3.8 million in healthcare reserves, primarily from the 2016 to 20142018 accident years.
The reinsurance segment’s net favorable development of $12.7$15.3 million, or 3.54.2 loss ratio points, for the 2019 secondthird quarter consisted of $1.8$35.2 million of net favorable development from short-tailed and medium-tailed lines and $10.9net adverse development of $19.9 million of net favorable development from long-tailed and medium-tailed lines. Net favorable development in short-tailed and medium lines reflected $26.5 million of favorable development from property catastrophe and property other than property catastrophe reserves, primarily resulted fromrelated to 2017 and 2018 catastrophic events, and favorable development on marine and aviation and other specialty linesreserves 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) and in property other than property catastrophe reserves from earlier underwriting years, partially offset by a small amount of adverse development from property catastrophe and property other than property catastrophe reserves in the 2015 and 2018 underwriting years. Favorable. Adverse development in long-tailed and medium-tailed lines reflected reductionsan increase in casualty and marine reserves from mostcasualty from various underwriting years.
The mortgage segment’s net favorable development was $22.8$33.0 million, or 6.59.6 loss ratio points, for the 2019 secondthird quarter. The 2019 secondthird quarter development was primarily driven by

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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

continued favorable claim rates on first lien business and subrogation recoveries on second lien business.
2018 SecondThird Quarter
During the 2018 secondthird quarter, the Company recorded net favorable development on prior year loss reserves of $64.6$79.6 million, which consisted of $6.1$5.9 million from the insurance segment, $33.0$34.3 million from the reinsurance segment, $23.3$38.6 million from the mortgage segment and adverse development of $2.2$0.7 million from the ‘other’ segment.
The insurance segment’s net favorable development of $6.1$5.9 million, or 1.1 loss ratio points, for the 2018 secondthird quarter consisted of $13.9$14.3 million of net favorable development in short-tailed lines and $14.3 million of net favorable development in long-tailed lines, partially offset by $22.1$8.4 million of net adverse development in medium-tailed and long-tailed lines. Net favorable development in short-tailed lines primarily resulted from property (including special risk other than marine) reserves from the 20102017 accident year (i.e., the year in which a loss occurred) while net adverse development in medium-tailed and long-tailed lines primarily resulted from $16.4 million of adverse development on contract binding business, primarily from the 2015 to 2017 accident years. Such amounts were partially offset by $8.0 million of net favorable development in other medium-tailed and short-tailed lines, including professional liability and surety business, across most accident years.
The reinsurance segment’s net favorable development of $34.3 million, or 11.7 loss ratio points, for the 2018 third quarter consisted of $26.5 million from short-tailed lines and $7.8 million from long-tailed and medium-tailed lines. Favorable development in short-tailed lines included $15.9 million from property catastrophe and property other than property catastrophe reserves, across most underwriting years while(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, and $10.3 million from other specialty reserves, primarily from the 2016 underwriting year. Favorable development in long-tailed and medium-tailed lines reflected reductions in casualty reserves of $7.9 million based on varying levels of reported and paid claims activity, primarily from the 2009 underwriting year.
The mortgage segment’s net favorable development was $38.6 million, or 12.8 loss ratio points, for the 2018 third quarter. The 2018 third quarter development was primarily driven by lower than expected claim rates on first lien business and subrogation recoveries on second lien business.
Nine Months Ended September 30, 2019
During the nine months ended September 30, 2019, the Company recorded net favorable development on prior year
loss reserves of $130.5 million, which consisted of $11.4 million from the insurance segment, $26.3 million from the reinsurance segment, $92.5 million from the mortgage segment and $0.3 million from the ‘other’ segment.
The insurance segment’s net favorable development of $11.4 million, or 0.7 loss ratio points, for the 2019 period consisted of $42.6 million of net favorable development in short-tailed lines, partially offset by $31.2 million of net adverse development in medium-tailed and long-tailed lines. Net favorable development in short-tailed lines primarily resulted from lenders products and property (including special risk other than marine) reserves across all accident years, partially offset by net adverse development in travel business, primarily from the 2018 accident year. Net adverse development in medium-tailed and long-tailed lines reflected $27.4 million of adverse development in program business, primarily from the 2018 accident year, and $12.8 million of adverse development on casualty business, primarily from contract binding business across most accident years. Such amounts were partially offset by $9.0 million of net favorable development in other medium-tailed and long-tailed lines, including professional liability, marine and surety business, across most accident years.
The reinsurance segment’s net favorable development of $26.3 million, or 2.4 loss ratio points, for the 2019 period consisted of $37.1 million of net favorable development from short-tailed and medium-tailed lines, offset by $10.8 million of net adverse development from long-tailed lines. Net favorable development in short-tailed lines reflected $22.6 million from other specialty lines and $9.5 million from property catastrophe reserves. Favorable development in medium-tailed lines reflected reductions in marine and aviation reserves of $10.4 million across most underwriting years.
The mortgage segment’s net favorable development was $92.5 million, or 9.1 loss ratio points, for the 2019 period. The 2019 development was primarily driven by continued lower than expected claim rates on first lien business and subrogation recoveries on second lien business.
Nine Months Ended September 30, 2018

During the nine months ended September 30, 2018, the Company recorded net favorable development on prior year loss reserves of $195.2 million, which consisted of $14.1 million from the insurance segment, $103.9 million from the reinsurance segment, $74.9 million from the mortgage segment and $2.3 million from the ‘other’ segment.
The insurance segment’s net favorable development of $14.1 million, or 0.9 loss ratio points, for the 2018 period consisted of $37.0 million of net favorable development in short-tailed lines and $16.4 million of net favorable development in long-tailed lines, partially offset by $39.3 million of net adverse development in medium-tailed lines. Net favorable development in short-tailed lines primarily resulted from

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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

property (including special risk other than marine) reserves from the 2010 and 2017 accident years. Net favorable development in long-tailed lines reflected net reductions in executive assurance reserves of $6.9$8.0 million, primarily from the 2007 to 20112008 accident years,year, and in healthcare reserves of $4.9$8.1 million, primarily from the 2003 accident year. Net adverse development in medium-tailed lines reflected $11.6$23.4 million of adverse development in program business, primarily driven by a few inactive programs that were non-renewed in 2015prior periods and early in 2016 and $18.0$42.1 million of adverse development on contract binding business, primarily from the 2014 to 20162017 accident years. Such amounts were partially offset by $7.6$26.2 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 favorable development of $33.0$103.9 million, or 9.711.4 loss ratio points, for the 2018 second quarterperiod consisted of $22.2$77.6 million from short-tailed lines and $10.8$26.3 million from long-tailed and medium-tailed lines. Favorable development in short-tailed lines included $19.3$56.4 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-tailedperiod, and medium-tailed lines reflected reductions in marine reserves of $3.8 million, across most accident years, and in casualty reserves of $6.9 million based on varying levels of reported and paid claims activity, primarily from the 2003 to 2010 underwriting years.
The mortgage segment’s net favorable development was $23.3 million, or 8.0 loss ratio points, for the 2018 second quarter. The 2018 second quarter development was primarily driven by continued lower than expected claim rates on first lien business and subrogation recoveries on second lien business.
Six Months Ended June 30, 2019
During the six months ended June 30, 2019, the Company recorded net favorable development on prior year loss reserves of $77.6 million, which consisted of $7.0$10.7 million from the insurance segment, $11.0 million from the reinsurance segment, $59.4 million from the mortgage segment and $0.1 million from the ‘other’ segment.
The insurance segment’s net favorable development of $7.0 million, or 0.6 loss ratio points, for the 2019 period consisted of $17.7 million of net favorable development in short-tailed lines and $6.6 million of net favorable development in long-tailed lines, partially offset by $17.3 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)specialty reserves, from the 2010 to 2018 accident years. Net favorable development in long-tailed lines reflected net reductions in executive assurance reserves of $5.7 million, primarily from the 2013 and 2015 accident years. Net adverse development in medium-tailed lines reflected $23.2 million of adverse development in program business, primarily from the 2018 accident year, and $9.7 million of adverse development on contract binding business, across most accident years. Such amounts were partially offset by $15.6 million of net favorable development in other medium-tailed lines, including professional liability, marine and surety business, across most accident years.
The reinsurance segment’s net favorable development of $11.0 million, or 1.5 loss ratio points, for the 2019 period consisted of $4.3 million of net adverse development from short-tailed lines, offset by $15.3 million of net favorable development from long-tailed and medium-tailed lines. Net adverse development in short-tailed lines reflected $17.9 million from property catastrophe and property other than property catastrophe reserves, reflecting an increase in reserves on Typhoon Jebi in the 2019 first quarter of $16.0 million following receipt of updated information from cedents and additional updated industry data. Such amounts were partially offset by $10.2 million of favorable development on other specialty lines, primarily from the 2016 to 2018 underwriting years. Favorable development in long-tailed and medium-tailed lines reflected reductions in casualty reserves of $9.1 million based on varying levels of reported and paid claims activity, primarily from the 2002 to 2007 underwriting years, and favorable development in marine reserves of $6.2 million, primarily from the 2015 to 2018 underwriting years.
The mortgage segment’s net favorable development was $59.4 million, or 8.8 loss ratio points, for the 2019 period. The 2019 development was primarily driven by continued lower than expected claim rates on first lien business and subrogation recoveries on second lien business.

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

Six Months Ended June 30, 2018

During the six months ended June 30, 2018, the Company recorded net favorable development on prior year loss reserves of $115.6 million, which consisted of $8.2 million from the insurance segment, $69.6 million from the reinsurance segment, $36.3 million from the mortgage segment and $1.6 million from the ‘other’ segment.
The insurance segment���s net favorable development of $8.2 million, or 0.8 loss ratio points, for the 2018 period consisted of $22.7 million of net favorable development in short-tailed lines and $17.2 million of net favorable development in long-tailed lines, partially offset by $31.7 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 2010 and 2017 accident years. Net favorable development in long-tailed lines reflected net reductions in executive assurance reserves of $7.5 million, primarily from the 2008 to 2015 accident years, and in healthcare reserves of $7.0 million, primarily from the 2003 accident year. Net adverse development in medium-tailed lines reflected $21.9 million of adverse development in program business, primarily driven by a few inactive programs that were non-renewed in 2015 and early in 2016 and $25.6 million of adverse development on contract binding business, primarily from the 2014 to 2016 accident years. Such amounts were partially offset by $15.8 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 favorable development of $69.6 million, or 11.2 loss ratio points, for the 2018 period consisted of $51.1 million from short-tailed lines and $18.5 million from long-tailed and medium-tailed lines. Favorable development in short-tailed lines included $40.4 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 $8.1$16.0 million based on varying levels of reported and paid claims activity, primarily from the 2002 to 2010 underwriting years, and favorable development in marine reserves of $10.0$10.8 million across most underwriting years.
The mortgage segment’s net favorable development was $36.3$74.9 million, or 6.48.6 loss ratio points, for the 2018 period. The 2018 development was primarily driven by continued lower than expected claim rates on first lien business and subrogation recoveries on second lien business.


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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

6.    Investment Information


At JuneSeptember 30, 2019, total investable assets of $23.55$24.30 billion included $20.78$21.57 billion held by the Company and $2.77$2.73 billion attributable to Watford Re.Watford.
Available For Sale Investments
The following table summarizes the fair value and cost or amortized cost of the Company’s securities classified as available for sale:
Estimated
Fair
Value
 
Gross
Unrealized
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)
June 30, 2019         
September 30, 2019         
Fixed maturities (1):                  
Corporate bonds$6,044,081
 $166,372
 $(19,805) $5,897,514
 $
$6,269,993
 $198,742
 $(18,420) $6,089,671
 $
Mortgage backed securities523,019
 11,385
 (187) 511,821
 (6)544,033
 11,185
 (918) 533,766
 (6)
Municipal bonds582,497
 21,755
 (58) 560,800
 
653,346
 27,095
 (379) 626,630
 
Commercial mortgage backed securities686,707
 21,272
 (228) 665,663
 
754,306
 27,523
 (158) 726,941
 
U.S. government and government agencies4,906,996
 68,017
 (2,051) 4,841,030
 
5,127,290
 67,957
 (6,671) 5,066,004
 
Non-U.S. government securities1,928,752
 45,881
 (36,125) 1,918,996
 
1,873,856
 48,212
 (52,767) 1,878,411
 
Asset backed securities1,636,897
 28,133
 (3,480) 1,612,244
 
1,657,494
 29,838
 (5,931) 1,633,587
 
Total16,308,949
 362,815
 (61,934) 16,008,068
 (6)16,880,318
 410,552
 (85,244) 16,555,010
 (6)
Short-term investments821,961
 284
 (480) 822,157
 
751,989
 227
 (445) 752,207
 
Total$17,130,910
 $363,099
 $(62,414) $16,830,225
 $(6)$17,632,307
 $410,779
 $(85,689) $17,307,217
 $(6)
                  
December 31, 2018                  
Fixed maturities (1):                  
Corporate bonds$5,537,548
 $14,476
 $(105,428) $5,628,500
 $(69)$5,537,548
 $14,476
 $(105,428) $5,628,500
 $(69)
Mortgage backed securities541,193
 3,991
 (3,216) 540,418
 (6)541,193
 3,991
 (3,216) 540,418
 (6)
Municipal bonds1,013,395
 5,380
 (11,891) 1,019,906
 
1,013,395
 5,380
 (11,891) 1,019,906
 
Commercial mortgage backed securities729,442
 2,650
 (10,751) 737,543
 
729,442
 2,650
 (10,751) 737,543
 
U.S. government and government agencies3,758,698
 27,189
 (8,474) 3,739,983
 
3,758,698
 27,189
 (8,474) 3,739,983
 
Non-U.S. government securities1,771,338
 14,477
 (50,948) 1,807,809
 
1,771,338
 14,477
 (50,948) 1,807,809
 
Asset backed securities1,600,896
 8,060
 (14,798) 1,607,634
 
1,600,896
 8,060
 (14,798) 1,607,634
 
Total14,952,510
 76,223
 (205,506) 15,081,793
 (75)14,952,510
 76,223
 (205,506) 15,081,793
 (75)
Short-term investments955,880
 36
 (394) 956,238
 
955,880
 36
 (394) 956,238
 
Total$15,908,390
 $76,259
 $(205,900) $16,038,031
 $(75)$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 JuneSeptember 30, 2019 the net unrealized loss related to securities for which a non-credit OTTI was recognized in AOCI was $0.01 million, compared to net unrealized loss of $0.04 million at December 31, 2018.

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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
June 30, 2019           
September 30, 2019           
Fixed maturities (1):                      
Corporate bonds$259,361
 $(10,678) $375,478
 $(9,127) $634,839
 $(19,805)$538,471
 $(11,128) $113,987
 $(7,292) $652,458
 $(18,420)
Mortgage backed securities19,612
 (169) 261
 (18) 19,873
 (187)97,288
 (905) 200
 (13) 97,488
 (918)
Municipal bonds
 
 12,489
 (58) 12,489
 (58)43,627
 (379) 
 
 43,627
 (379)
Commercial mortgage backed securities18,917
 (106) 23,198
 (122) 42,115
 (228)47,219
 (151) 1,872
 (7) 49,091
 (158)
U.S. government and government agencies906,497
 (1,711) 104,692
 (340) 1,011,189
 (2,051)1,592,232
 (6,531) 47,416
 (140) 1,639,648
 (6,671)
Non-U.S. government securities1,092,560
 (33,985) 124,466
 (2,140) 1,217,026
 (36,125)1,214,128
 (51,742) 47,576
 (1,025) 1,261,704
 (52,767)
Asset backed securities312,033
 (1,901) 130,002
 (1,579) 442,035
 (3,480)375,936
 (4,600) 48,743
 (1,331) 424,679
 (5,931)
Total2,608,980
 (48,550) 770,586
 (13,384) 3,379,566
 (61,934)3,908,901
 (75,436) 259,794
 (9,808) 4,168,695
 (85,244)
Short-term investments53,431
 (480) 
 
 53,431
 (480)43,007
 (445) 
 
 43,007
 (445)
Total$2,662,411
 $(49,030) $770,586
 $(13,384) $3,432,997
 $(62,414)$3,951,908
 $(75,881) $259,794
 $(9,808) $4,211,702
 $(85,689)
                      
December 31, 2018                      
Fixed maturities (1):                      
Corporate bonds$2,983,195
 $(68,910) $1,234,865
 $(36,518) $4,218,060
 $(105,428)$2,983,195
 $(68,910) $1,234,865
 $(36,518) $4,218,060
 $(105,428)
Mortgage backed securities84,296
 (695) 109,009
 (2,521) 193,305
 (3,216)84,296
 (695) 109,009
 (2,521) 193,305
 (3,216)
Municipal bonds233,081
 (2,074) 408,155
 (9,817) 641,236
 (11,891)233,081
 (2,074) 408,155
 (9,817) 641,236
 (11,891)
Commercial mortgage backed securities223,341
 (2,831) 193,956
 (7,920) 417,297
 (10,751)223,341
 (2,831) 193,956
 (7,920) 417,297
 (10,751)
U.S. government and government agencies635,049
 (1,354) 391,102
 (7,120) 1,026,151
 (8,474)635,049
 (1,354) 391,102
 (7,120) 1,026,151
 (8,474)
Non-U.S. government securities1,028,340
 (35,524) 389,671
 (15,424) 1,418,011
 (50,948)1,028,340
 (35,524) 389,671
 (15,424) 1,418,011
 (50,948)
Asset backed securities533,592
 (8,832) 368,095
 (5,966) 901,687
 (14,798)533,592
 (8,832) 368,095
 (5,966) 901,687
 (14,798)
Total5,720,894
 (120,220) 3,094,853
 (85,286) 8,815,747
 (205,506)5,720,894
 (120,220) 3,094,853
 (85,286) 8,815,747
 (205,506)
Short-term investments122,878
 (394) 
 
 122,878
 (394)122,878
 (394) 
 
 122,878
 (394)
Total$5,843,772
 $(120,614) $3,094,853
 $(85,286) $8,938,625
 $(205,900)$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.”

At JuneSeptember 30, 2019, on a lot level basis, approximately 1,6901,980 security lots out of a total of approximately 8,7309,260 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 $3.1$3.0 million. At December 31, 2018, on a lot level basis, approximately 5,870 security lots out of a total of approximately 8,450 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 $2.6 million.

ARCH CAPITAL 232019 SECONDTHIRD 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.
 June 30, 2019 December 31, 2018 September 30, 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 $414,736
 $413,481
 $276,682
 $279,135
 $545,056
 $538,903
 $276,682
 $279,135
Due after one year through five years 9,833,517
 9,702,349
 8,666,297
 8,738,944
 10,096,867
 9,971,896
 8,666,297
 8,738,944
Due after five years through 10 years 3,028,435
 2,923,881
 2,919,232
 2,951,582
 3,075,318
 2,952,478
 2,919,232
 2,951,582
Due after 10 years 185,638
 178,629
 218,768
 226,537
 207,244
 197,439
 218,768
 226,537
 13,462,326
 13,218,340
 12,080,979
 12,196,198
 13,924,485
 13,660,716
 12,080,979
 12,196,198
Mortgage backed securities 523,019
 511,821
 541,193
 540,418
 544,033
 533,766
 541,193
 540,418
Commercial mortgage backed securities 686,707
 665,663
 729,442
 737,543
 754,306
 726,941
 729,442
 737,543
Asset backed securities 1,636,897
 1,612,244
 1,600,896
 1,607,634
 1,657,494
 1,633,587
 1,600,896
 1,607,634
Total (1) $16,308,949
 $16,008,068
 $14,952,510
 $15,081,793
 $16,880,318
 $16,555,010
 $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.”
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 JuneSeptember 30, 2019, the fair value of the cash collateral received on securities lending was $11.4$12.0 million and the fair value of security collateral received was $438.9$418.2 million. At December 31, 2018, the fair value of the cash collateral received on securities lending was $19.0 million, and the fair value of security collateral received was $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
June 30, 2019          
September 30, 2019          
U.S. government and government agencies $216,856
 $
 $217,722
 $
 $434,578
 $257,979
 $
 $156,541
 $
 $414,520
Corporate bonds 2,356
 
 
 
 2,356
 4,820
 
 
 
 4,820
Equity securities 13,378
 
 
 
 13,378
 10,915
 
 
 
 10,915
Total $232,590
 $
 $217,722
 $
 $450,312
 $273,714
 $
 $156,541
 $
 $430,255
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 $
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 8Amounts related to securities lending not included in offsetting disclosure in note 8 $450,312
Amounts related to securities lending not included in offsetting disclosure in note 8 $430,255
                    
December 31, 2018                    
U.S. government and government agencies $219,276
 $
 $32,583
 $
 $251,859
 $219,276
 $
 $32,583
 $
 $251,859
Corporate bonds 7,129
 
 
 
 7,129
 7,129
 
 
 
 7,129
Equity securities 15,137
 
 
 
 15,137
 15,137
 
 
 
 15,137
Total $241,542
 $
 $32,583
 $
 $274,125
 $241,542
 $
 $32,583
 $
 $274,125
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
 $
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
Amounts related to securities lending not included in offsetting disclosure in note 8
 $274,125


ARCH CAPITAL 242019 SECONDTHIRD 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 JuneSeptember 30, 2019, the Company held $670.9$550.5 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 and exchange-traded funds.
Other Investments
The following table summarizes the Company’s other investments which are included in investments accounted for using the fair value option, by strategy:
June 30,
2019
 December 31,
2018
September 30,
2019
 December 31,
2018
Term loan investments (par value: $1,427,330 and $1,369,216)$1,341,445
 $1,282,287
Term loan investments (par value: $1,434,328 and $1,369,216)$1,330,886
 $1,282,287
Lending585,954
 524,112
624,699
 524,112
Credit related funds166,673
 202,123
165,444
 202,123
Energy123,547
 117,509
113,791
 117,509
Investment grade fixed income86,808
 101,902
83,649
 101,902
Infrastructure49,260
 45,371
49,602
 45,371
Private equity23,925
 24,383
54,609
 24,383
Real estate16,906
 14,252
17,440
 14,252
Total$2,394,518
 $2,311,939
$2,440,120
 $2,311,939

Investments Accounted For Using the Equity Method
The following table summarizes the Company’s investments accounted for using the equity method, by strategy:
June 30,
2019
 December 31,
2018
September 30,
2019
 December 31,
2018
Credit related funds$436,118
 $429,402
$428,353
 $429,402
Equities324,525
 375,273
284,465
 375,273
Real estate251,891
 232,647
265,502
 232,647
Lending193,397
 125,041
200,112
 125,041
Private equity131,863
 114,019
141,343
 114,019
Infrastructure141,744
 113,748
149,005
 113,748
Energy102,434
 103,661
107,052
 103,661
Total$1,581,972
 $1,493,791
$1,575,832
 $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 which are accounted for using the fair value option:
June 30,
2019
 December 31,
2018
September 30,
2019
 December 31,
2018
Fixed maturities$965,161
 $1,245,562
$908,802
 $1,245,562
Other investments2,394,518
 2,311,939
2,440,120
 2,311,939
Short-term investments257,465
 322,177
390,980
 322,177
Equity securities103,891
 103,893
98,341
 103,893
Investments accounted for using the fair value option$3,721,035
 $3,983,571
$3,838,243
 $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:
June 30,
2019
 December 31,
2018
September 30,
2019
 December 31,
2018
Investments accounted for using the equity method (1)1,581,972
 1,493,791
1,575,832
 1,493,791
Investments accounted for using the fair value option (2)178,977
 162,398
189,186
 162,398
Total$1,760,949
 $1,656,189
$1,765,018
 $1,656,189
(1)Aggregate unfunded commitments were $1.41$1.44 billion at JuneSeptember 30, 2019, compared to $1.22 billion at December 31, 2018.
(2)Aggregate unfunded commitments were $63.6$51.1 million at JuneSeptember 30, 2019, compared to $117.5 million at December 31, 2018.

ARCH CAPITAL 252019 SECONDTHIRD 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:
June 30,September 30,
2019 20182019 2018
Three Months Ended      
Fixed maturities$125,018
 $115,110
$126,889
 $120,516
Term loans24,730
 20,763
24,236
 21,903
Equity securities4,368
 4,777
3,992
 3,165
Short-term investments3,859
 4,392
3,834
 4,547
Other (1)18,523
 17,405
22,704
 17,195
Gross investment income176,498
 162,447
181,655
 167,326
Investment expenses(21,460) (26,779)(20,167) (23,302)
Net investment income$155,038
 $135,668
$161,488
 $144,024
      
Six Months Ended   
Nine Months Ended   
Fixed maturities$254,817
 $222,997
$381,706
 $343,513
Term loans49,346
 40,527
73,582
 62,430
Equity securities7,356
 7,345
11,348
 10,510
Short-term investments8,038
 9,252
11,872
 13,799
Other (1)39,719
 35,015
62,423
 52,210
Gross investment income359,276
 315,136
540,931
 482,462
Investment expenses(47,289) (52,744)(67,456) (76,046)
Net investment income$311,987
 $262,392
$473,475
 $406,416
(1)Includes income distributions from investment funds and other items.
 
Net Realized Gains (Losses)
Net realized gains (losses) were as follows, excluding net impairment losses recognized in earnings:
June 30,September 30,
2019 20182019 2018
Three Months Ended      
Available for sale securities: 
  
 
  
Gross gains on investment sales$75,090
 $18,777
$73,685
 $10,990
Gross losses on investment sales(15,281) (57,711)(30,561) (34,879)
Change in fair value of assets and liabilities accounted for using the fair value option:      
Fixed maturities11,429
 (22,927)(3,895) (6,604)
Other investments(33,780) (254)(21,778) (7,950)
Equity securities6,414
 1,230
(1,231) 2,752
Short-term investments(1,392) (136)(1,941) (471)
Equity securities, at fair value:      
Net realized gains (losses) on sales during the period(6,644) (5,918)5,217
 (2,012)
Net unrealized gains (losses) on equity securities still held at reporting date22,632
 (7,278)(1,206) 10,798
Derivative instruments (1)63,966
 (2,146)42,893
 (17,556)
Other (2)(1,628) (248)1,335
 (6,773)
Net realized gains (losses)$120,806
 $(76,611)$62,518
 $(51,705)
      
Six Months Ended   
Nine Months Ended   
Available for sale securities:      
Gross gains on investment sales$118,455
 $33,742
$192,140
 $44,732
Gross losses on investment sales(46,937) (140,262)(77,498) (175,141)
Change in fair value of assets and liabilities accounted for using the fair value option:      
Fixed maturities42,577
 (40,478)38,682
 (47,082)
Other investments(15,585) (6,628)(37,363) (14,578)
Equity securities10,680
 7,898
9,449
 10,650
Short-term investments(672) (287)(2,613) (758)
Equity securities, at fair value:      
Net realized gains (losses) on sales during the period4,286
 (11,286)9,503
 (13,298)
Net unrealized gains (losses) on equity securities still held at reporting date59,768
 (14,861)58,562
 (4,063)
Derivative instruments (1)99,837
 (6,109)142,730
 (23,665)
Other (2)(10,038) (9,338)(8,703) (16,111)
Net realized gains (losses)$262,371
 $(187,609)$324,889
 $(239,314)

(1)
See note 8 for information on the Company’s derivative instruments.
(2)Includes the re-measurement of contingent consideration liability amounts.

Equity in Net Income (Loss) of Investment Funds Accounted for Using the Equity Method
The Company recorded $32.5$17.1 million of equity in net income related to investment funds accounted for using the equity method in the 2019 secondthird quarter, compared to $8.5$16.0 million for the 2018 secondthird quarter, and $79.4$96.5 million for the sixnine months ended JuneSeptember 30, 2019, compared to $36.5$52.5 million for the 2018 period. 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

ARCH CAPITAL 262019 SECONDTHIRD QUARTER FORM 10-Q

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

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.
Net 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:
June 30,September 30,
2019 20182019 2018
Three Months Ended      
Fixed maturities: 
  
 
  
Mortgage backed securities$(24) $(81)$(284) $(73)
Corporate bonds(25) (241)(666) (270)
Non-U.S. government securities
 (149)
Asset backed securities
 (148)(213) 
Total(49) (470)
Net impairment losses recognized in earnings$(49) $(470)$(1,163) $(492)
      
Six Months Ended   
Nine Months Ended   
Fixed maturities:      
Mortgage backed securities$(555) $(123)$(839) $(196)
Corporate bonds(590) (361)(1,256) (631)
Non-U.S. government securities
 (149)
Asset backed securities(213) (148)(426) (148)
Total(1,358) (632)
Net impairment losses recognized in earnings$(1,358) $(632)$(2,521) $(1,124)
 
Net impairment losses recognized in earnings in the 2019 periods were primarily related to foreign currency fluctuations and other impairments on corporate bonds and other securities.
The Company believes that the minimal amount of OTTI included in accumulated other comprehensive income at JuneSeptember 30, 2019 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 JuneSeptember 30, 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:
June 30,September 30,
2019 20182019 2018
Three Months Ended      
Balance at start of period$346
 $767
$346
 $698
Credit loss impairments recognized on securities not previously impaired
 

 
Credit loss impairments recognized on securities previously impaired
 

 
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
 (69)
 (47)
Balance at end of period$346
 $698
$346
 $651
      
Six Months Ended   
Nine Months Ended   
Balance at start of year$637
 $767
$637
 $767
Credit loss impairments recognized on securities not previously impaired
 

 
Credit loss impairments recognized on securities previously impaired
 

 
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(291) (69)(291) (116)
Balance at end of period$346
 $698
$346
 $651

Restricted Assets
The Company is required to maintain assets on deposit, which primarily consist of fixed maturities, with various regulatory authorities to support its underwriting operations. The Company’s subsidiaries maintain assets in trust accounts as collateral for 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 2018 Form 10-K. The following table details the value of the Company’s restricted assets:
June 30,
2019
 December 31,
2018
September 30,
2019
 December 31,
2018
Assets used for collateral or guarantees: 
  
 
  
Affiliated transactions$4,758,653
 $4,623,483
$4,629,369
 $4,623,483
Third party agreements2,612,380
 2,181,682
2,605,587
 2,181,682
Deposits with U.S. regulatory authorities788,750
 689,114
788,295
 689,114
Deposits with non-U.S. regulatory authorities62,449
 59,624
71,800
 59,624
Total restricted assets$8,222,232
 $7,553,903
$8,095,051
 $7,553,903


ARCH CAPITAL 272019 SECONDTHIRD QUARTER FORM 10-Q

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

In addition, Watford Re maintains a secured credit facility to provide borrowing capacity for investment purposes and a total return swap agreement and maintains assets pledged as collateral for such purposes. The Company does not guarantee or provide credit support for Watford, Re, and the Company’s financial exposure to Watford Re is limited to its investment in Watford Re’sWatford’s senior notes, common and preferred shares and counterparty credit risk (mitigated by collateral) arising from reinsurance transactions. As of JuneSeptember 30, 2019 and December 31, 2018, Watford Re held $1.1$1.06 billion and $1.3$1.30 billion, respectively, in pledged assets to collateralize Watford Re’sthe credit facility mentioned above.
Reconciliation of Cash and Restricted Cash
The following table details reconciliation of cash and restricted cash within the Consolidated Balance Sheets:
June 30,
2019
 December 31,
2018
September 30,
2019
 December 31,
2018
Cash$605,316
 $646,556
$880,099
 $646,556
Restricted cash (included in ‘other assets’)$77,759
 $78,087
$82,376
 $78,087
Cash and restricted cash$683,075
 $724,643
$962,475
 $724,643


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
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., 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 representative of fair value. The Company did not adjust any of the prices obtained from the independent pricing sources at JuneSeptember 30, 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 $21.66$22.21 billion of financial assets and liabilities measured at fair value at JuneSeptember 30, 2019,

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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

approximately $183.8$187.9 million, or 0.9%, were priced using non-binding broker-dealer quotes. Of the $20.41 billion of financial assets and liabilities measured at fair value at December 31, 2018, approximately $217.9 million, or 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. During the nine months ended September 30, 2019, second quarter, the Company transferred $23.9$25.8 million of corporate bonds from Level 2 to Level 3 based on a review of the pricing of such securities, as described above.
 
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.
Non-U.S. government securities — valuations provided by independent pricing services, with all prices provided through index providers and pricing vendors. The fair values of these securities are generally based on international indices or valuation models which include daily observed yield curves, cross-currency basis index spreads and country credit spreads. As the significant inputs used in the pricing process for non-U.S. government securities are observable market inputs, the fair value of these securities are classified within Level 2.
Asset-backed securities — valuations provided by independent pricing services, substantially all through index providers and pricing vendors with a small amount through broker-dealers. The fair values of these securities are generally determined through the use of pricing models (including Option

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

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. During the nine months ended September 30, 2019, the Company transferred $5.5 million of asset-backed securities from Level 2 to Level 3 based on a review of the pricing of such securities, as described above.
Equity securities
The Company determined that exchange-traded equity securities would be included in Level 1 as their fair values are based on quoted market prices in active markets. Other equity securities are included in Level 2 of the valuation hierarchy. A small number of securities are included in Level 3 due to the lack of an available independent price source for such securities. As the significant inputs used to price these securities are unobservable, the fair value of such securities are classified as Level 3. During thenine months ended September 30 2019, second quarter, the Company transferred $107.4 million of equity securities from Level 2 to Level 3 based on a review of the pricing of such securities, as described above.
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. During the nine months ended September 30, 2019, second quarter, the Company transferred $44.6$31.6 million of other investments from Level 2 to Level 3 based on a review of the pricing of such securities, as described above.
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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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

The following table presents the Company’s financial assets and liabilities measured at fair value by level at JuneSeptember 30, 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$6,044,081
 $
 $6,036,439
 $7,642
$6,269,993
 $
 $6,261,248
 $8,745
Mortgage backed securities523,019
 
 522,729
 290
544,033
 
 543,761
 272
Municipal bonds582,497
 
 582,497
 
653,346
 
 653,346
 
Commercial mortgage backed securities686,707
 
 686,707
 
754,306
 
 754,306
 
U.S. government and government agencies4,906,996
 4,746,260
 160,736
 
5,127,290
 5,005,512
 121,778
 
Non-U.S. government securities1,928,752
 
 1,928,752
 
1,873,856
 
 1,873,856
 
Asset backed securities1,636,897
 
 1,636,897
 
1,657,494
 
 1,652,045
 5,449
Total16,308,949
 4,746,260
 11,554,757
 7,932
16,880,318
 5,005,512
 11,860,340
 14,466
              
Short-term investments821,961
 803,337
 18,624
 
751,989
 720,518
 31,471
 
              
Equity securities, at fair value684,236
 620,508
 12,516
 51,212
561,105
 514,380
 11,402
 35,323
              
Derivative instruments (4)30,653
 
 30,653
 
51,647
 
 51,647
 
              
Fair value option:              
Corporate bonds673,431
 
 647,328
 26,103
619,779
 
 597,000
 22,779
Non-U.S. government bonds56,416
 
 56,416
 
61,755
 
 61,755
 
Mortgage backed securities16,076
 
 16,076
 
15,512
 
 15,512
 
Municipal bonds6,731
 
 6,731
 
1,140
 
 1,140
 
Commercial mortgage backed securities
 
 
 
Asset backed securities208,019
 
 208,019
 
208,620
 
 208,620
 
U.S. government and government agencies4,488
 4,378
 110
 
1,996
 1,886
 110
 
Short-term investments257,465
 247,216
 10,249
 
390,980
 376,033
 14,947
 
Equity securities103,891
 47,157
 589
 56,145
98,340
 41,333
 735
 56,272
Other investments1,394,344
 41,176
 1,257,895
 95,273
1,411,420
 41,316
 1,284,661
 85,443
Other investments measured at net asset value (2)1,000,174
      1,028,700
      
Total3,721,035
 339,927
 2,203,413
 177,521
3,838,242
 460,568
 2,184,480
 164,494
              
Total assets measured at fair value$21,566,834
 $6,510,032
 $13,819,963
 $236,665
$22,083,301
 $6,700,978
 $14,139,340
 $214,283
              
Liabilities measured at fair value: 
  
  
  
 
  
  
  
Contingent consideration liabilities$(7,825) $
 $
 $(7,825)$(7,344) $
 $
 $(7,344)
Securities sold but not yet purchased (3)(48,823) 
 (48,823) 
(65,736) 
 (65,736) 
Derivative instruments (4)(38,363) 
 (38,363) 
(53,740) 
 (53,740) 
Total liabilities measured at fair value$(95,011) $
 $(87,186) $(7,825)$(126,820) $
 $(119,476) $(7,344)

(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 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 8.

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

The following table presents the Company’s financial assets and liabilities measured at fair value by level at December 31, 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$5,537,548
 $
 $5,529,407
 $8,141
$5,537,548
 $
 $5,529,407
 $8,141
Mortgage backed securities541,193
 
 540,884
 309
541,193
 
 540,884
 309
Municipal bonds1,013,395
 
 1,013,395
 
1,013,395
 
 1,013,395
 
Commercial mortgage backed securities729,442
 
 729,438
 4
729,442
 
 729,438
 4
U.S. government and government agencies3,758,698
 3,657,181
 101,517
 
3,758,698
 3,657,181
 101,517
 
Non-U.S. government securities1,771,338
 
 1,771,338
 
1,771,338
 
 1,771,338
 
Asset backed securities1,600,896
 
 1,600,896
 
1,600,896
 
 1,600,896
 
Total14,952,510
 3,657,181
 11,286,875
 8,454
14,952,510
 3,657,181
 11,286,875
 8,454
              
Equity securities353,794
 321,927
 31,867
 
353,794
 321,927
 31,867
 
              
Short-term investments955,880
 875,881
 79,999
 
955,880
 875,881
 79,999
 
              
Derivative instruments (4)73,893
 
 73,893
 
73,893
 
 73,893
 
              
Fair value option:              
Corporate bonds852,585
 
 846,827
 5,758
852,585
 
 846,827
 5,758
Non-U.S. government bonds79,066
 
 79,066
 
79,066
 
 79,066
 
Mortgage backed securities16,731
 
 16,731
 
16,731
 
 16,731
 
Municipal bonds7,144
 
 7,144
 
7,144
 
 7,144
 
Commercial mortgage backed securities
 
 
 
Asset backed securities178,790
 
 178,790
 
178,790
 
 178,790
 
U.S. government and government agencies111,246
 111,138
 108
 
111,246
 111,138
 108
 
Short-term investments322,177
 278,579
 43,598
 
322,177
 278,579
 43,598
 
Equity securities103,893
 48,827
 55,066
 
103,893
 48,827
 55,066
 
Other investments1,254,220
 39,107
 1,152,408
 62,705
1,254,220
 39,107
 1,152,408
 62,705
Other investments measured at net asset value (2)1,057,719
      1,057,719
      
Total3,983,571
 477,651
 2,379,738
 68,463
3,983,571
 477,651
 2,379,738
 68,463
              
Total assets measured at fair value$20,319,648
 $5,332,640
 $13,852,372
 $76,917
$20,319,648
 $5,332,640
 $13,852,372
 $76,917
              
Liabilities measured at fair value: 
  
  
  
 
  
  
  
Contingent consideration liabilities$(66,665) $
 $
 $(66,665)$(66,665) $
 $
 $(66,665)
Securities sold but not yet purchased (3)(7,790) 
 (7,790) 
(7,790) 
 (7,790) 
Derivative instruments (4)(20,664) 
 (20,664) 
(20,664) 
 (20,664) 
Total liabilities measured at fair value$(95,119) $
 $(28,454) $(66,665)$(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 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 8.


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

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:
AssetsLiabilitiesAssetsLiabilities
sAvailable For Sale Fair Value Option Fair Value  Available For Sale Fair Value Option Fair Value  
Structured Securities (1) Corporate
Bonds
 Corporate
Bonds
 
Other
Investments
 
Equity
Securities
 
Equity
Securities
 Contingent Consideration LiabilitiesStructured Securities (1) Corporate
Bonds
 Corporate
Bonds
 
Other
Investments
 
Equity
Securities
 
Equity
Securities
 Contingent Consideration Liabilities
Three Months Ended June 30, 2019   
        
  
Three Months Ended September 30, 2019   
        
  
Balance at beginning of period$302
 $7,567
 $2,233
 $62,329
 $
 $
 $(68,121)$290
 $7,642
 $26,103
 $95,273
 $56,145
 $51,212
 $(7,825)
Total gains or (losses) (realized/unrealized)          

            

  
Included in earnings (2)
 
 (49) (11,614) 
 
 (423)
 
 (1,227) (411) 127
 (26) (79)
Included in other comprehensive income1
 102
 
 
 
 
 

 (301) 
 
 
 
 
Purchases, issuances, sales and settlements          

            

  
Purchases
 429
 
 
 
 
 

 
 
 3,713
 
 12,119
 
Issuances
 
 
 
 
 
 

 
 
 
 
 
 
Sales
 
 
 (74) 
 
 

 
 (2,097) (80) 
 (27,982) 
Settlements(13) (456) 
 
 
 
 60,719
(18) (456) 
 
 
 
 560
Transfers in and/or out of Level 3
 
 23,919
 44,632
 56,145
 51,212
 
5,449
 1,860
 
 (13,052) 
 
 
Balance at end of period$290
 $7,642
 $26,103
 $95,273
 $56,145
 $51,212
 $(7,825)$5,721
 $8,745
 $22,779
 $85,443
 $56,272
 $35,323
 $(7,344)
                          
Three Months Ended June 30, 2018   
        
  
Three Months Ended September 30, 2018   
        
  
Balance at beginning of period$5,413
 $9,152
 $11,872
 $58,452
 $
 $
 $(62,449)$376
 $8,773
 $11,335
 $58,214
 $
 $
 $(63,930)
Total gains or (losses) (realized/unrealized)          

            

  
Included in earnings (2)3
 
 (537) 336
 
 
 (1,481)
 (1) (503) (1,459) 
 
 (1,711)
Included in other comprehensive income(4) (316) 
 
 
 
 
2
 (32) 
 
 
 
 
Purchases, issuances, sales and settlements          

            

  
Purchases
 393
 
 
 
 
 

 
 
 6,250
 
 
 
Issuances
 
 
 
 
 
 

 
 
 
 
 
 
Sales(5,003) 
 
 (74) 
 
 

 
 
 (74) 
 
 
Settlements(33) (456) 
 (500) 
 
 
(33) (456) (1,226) 
 
 
 
Transfers in and/or out of Level 3
 
 
 
 
 
 

 
 
 
 
 
 
Balance at end of period$376
 $8,773
 $11,335
 $58,214
 $
 $
 $(63,930)$345
 $8,284
 $9,606
 $62,931
 $
 $
 $(65,641)
                          
Six Months Ended June 30, 2019   
        
  
Nine Months Ended September 30, 2019   
        
  
Balance at beginning of year$313
 $8,141
 $5,758
 $62,705
 $
 $
 $(66,665)$313
 $8,141
 $5,758
 $62,705
 $
 $
 $(66,665)
Total gains or (losses) (realized/unrealized)          

            

  
Included in earnings (2)1,757
 
 (339) (11,316) 
 
 (1,331)1,757
 
 (1,566) (11,727) 127
 (26) (1,410)
Included in other comprehensive income5
 (16) 
 
 
 
 
5
 (317) 
 
 
 
 
Purchases, issuances, sales and settlements          

            

  
Purchases
 429
 
 
 
 
 

 429
 
 3,713
 
 12,119
 
Issuances
 
 
 
 
 
 (548)
 
 
 
 
 
 (548)
Sales(1,757) 
 (3,235) (148) 
 
 
(1,757) 
 (5,332) (228) 
 (27,982) 
Settlements(28) (912) 
 (600) 
 
 60,719
(46) (1,368) 
 (600) 
 
 61,279
Transfers in and/or out of Level 3
 
 23,919
 44,632
 56,145
 51,212
 
5,449
 1,860
 23,919
 31,580
 56,145
 51,212
 
Balance at end of period$290
 $7,642
 $26,103
 $95,273
 $56,145
 $51,212
 $(7,825)$5,721
 $8,745
 $22,779
 $85,443
 $56,272
 $35,323
 $(7,344)
                          
Six Months Ended June 30, 2018   
        
  
Nine Months Ended September 30, 2018   
        
  
Balance at beginning of year$5,927
 $9,460
 $12,217
 $59,167
 $
 $
 $(60,996)$5,927
 $9,460
 $12,217
 $59,167
 $
 $
 $(60,996)
Total gains or (losses) (realized/unrealized)          

            

  
Included in earnings (2)4
 
 (612) (379) 
 
 (2,934)4
 (1) (1,115) (1,838) 
 
 (4,645)
Included in other comprehensive income(8) (168) 
 
 
 
 
(6) (200) 
 
 
 
 
Purchases, issuances, sales and settlements          

            

  
Purchases
 393
 
 
 
 
 

 393
 
 6,250
 
 
 
Issuances
 
 
 
 
 
 

 
 
 
 
 
 
Sales(5,003) 
 
 (74) 
 
 
(5,003) 
 
 (148) 
 
 
Settlements(544) (912) (270) (500) 
 
 
(577) (1,368) (1,496) (500) 
 
 
Transfers in and/or out of Level 3
 
 
 
 
 
 

 
 
 
 
 
 
Balance at end of period$376
 $8,773
 $11,335
 $58,214
 $
 $
 $(63,930)$345
 $8,284
 $9,606
 $62,931
 $
 $
 $(65,641)

(1)Includes asset backed securities, mortgage backed securities and commercial mortgage backed securities.
(2)Gains or losses were included in net realized gains (losses).

ARCH CAPITAL 332019 SECONDTHIRD QUARTER FORM 10-Q

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

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 JuneSeptember 30, 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 JuneSeptember 30, 2019, the Company’s senior notes were carried at their cost, net of debt issuance costs, of $1.73$1.87 billion and had a fair value of $2.09$2.35 billion. At December 31, 2018, 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 $1.88 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.
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 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)
June 30, 2019     
September 30, 2019     
Futures contracts (2)$5,438
 $(1,586) $4,354,852
$15,148
 $(20,515) $3,987,260
Foreign currency forward contracts (2)3,190
 (10,352) 939,940
5,316
 (8,616) 965,348
TBAs (3)15,509
 
 14,846
54,961
 
 53,229
Other (2)22,025
 (26,425) 3,493,526
31,183
 (24,609) 3,983,466
Total$46,162
 $(38,363)  $106,608
 $(53,740)  
          
December 31, 2018          
Futures contracts (2)$51,800
 $(2,115) $3,153,518
$51,800
 $(2,115) $3,153,518
Foreign currency forward contracts (2)8,147
 (7,796) 1,008,907
8,147
 (7,796) 1,008,907
TBAs (3)8,292
 
 8,132
8,292
 
 8,132
Other (2)13,946
 (10,753) 2,213,981
13,946
 (10,753) 2,213,981
Total$82,185
 $(20,664)  $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 JuneSeptember 30, 2019 or December 31, 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 JuneSeptember 30, 2019, asset derivatives and liability derivatives of $46.2$105.5 million and $38.4$52.7 million, respectively, were subject to a master netting agreement, compared to $80.4 million and $18.9 million, respectively, at December 31, 2018. The remaining derivatives included in the preceding table were not subject to a master netting agreement.

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

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 June 30, September 30,
hedging instruments: 2019 2018 2019 2018
        
Three Months Ended        
Net realized gains (losses):        
Futures contracts $66,973
 $(240) $46,194
 $(15,399)
Foreign currency forward contracts (5,365) (1,692) 2,044
 (5,458)
TBAs 48
 
 269
 (3)
Other 2,310
 (214) (5,614) 3,304
Total $63,966
 $(2,146) $42,893
 $(17,556)
        
Six Months Ended    
Nine Months Ended    
Net realized gains (losses):        
Futures contracts $94,309
 $4,790
 $140,503
 $(10,609)
Foreign currency forward contracts (19,074) (7,616) (17,030) (13,074)
TBAs 238
 (97) 507
 (100)
Other 24,364
 (3,186) 18,750
 118
Total $99,837
 $(6,109) $142,730
 $(23,665)

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 $1.92$1.90 billion at JuneSeptember 30, 2019, compared to $1.77 billion at December 31, 2018.
Interest Paid
Interest paid on the Company’s senior notes and other borrowings were $60.968.6 million for the sixnine months ended JuneSeptember 30, 2019, consistent with $60.9$67.6 million for the 2018 period.
Letter of Credit and Revolving Credit Facilities
In September 2019, Watford entered into an unsecured letter of credit agreement. Watford has access to a $100 million letter of credit facility expiring on September 20, 2020. The Company does not guarantee or provide credit support for Watford, and the Company’s financial exposure to Watford is limited to its investment in Watford’s senior notes, common and preferred shares and counterparty credit risk (mitigated by collateral) arising from the reinsurance transactions.
10.    Leases

In the ordinary course of business, the Company renews and enters into new leases for office property and equipment. At the lease inception date, the Company determines whether a contract contains a lease and its classification as a finance or operating lease. Primarily all of the Company’s leases are classified as operating leases. The Company’s operating leases have remaining lease terms of up to 1211 years, some of which include options to extend the lease term. The Company considers these options when determining the lease term and measuring its lease liability and right-of-use asset. In addition, the Company’s lease agreements do not contain any material residual value guarantees or material restrictive covenants.
Short-term operating leases with an initial term of twelve months or less were excluded on the Company's consolidated balance sheet and represent an inconsequential amount of operating lease expense.
As most leases do not provide an implicit rate, the Company uses its incremental borrowing rate based on the information available at the lease commencement date in determining the present value of lease payments.
Additional information regarding the Company’s operating leases is as follows:
 June 30, September 30,
 2019 2019
    
Three Months Ended    
Operating lease costs $7,244
 $7,751
Cash payments included in the measurement of lease liabilities reported in operating cash flows $7,685
 $8,031
Right-of-use assets obtained in exchange for new lease liabilities $4,420
 $2,897
Right-of-use assets (1) $134,061
 $131,424
Operating lease liability (1) $150,341
 $147,326
Weighted average discount rate 3.9% 3.9%
Weighted average remaining lease term 6.5 years
 6.3 years
    
Six Months Ended  
Nine Months Ended  
Operating lease costs

 $14,860
 $22,611
Cash payments included in the measurement of lease liabilities reported in operating cash flows $14,585
 $22,616
Right-of-use assets obtained in exchange for new lease liabilities $4,420
 $7,009
Right-of-use assets (1) $134,061
 $131,424
Operating lease liability (1) $150,341
 $147,326
Weighted average discount rate 3.9% 3.9%
Weighted average remaining lease term 6.5 years
 6.3 years
(1)The right-of-use assets are included in ‘other assets’ while the operating lease liability is included in ‘other liabilities.’

The following table presents the contractual maturities of the Company's operating lease liabilities at June 30, 2019:
Years Ending December 31,  
2019 (remainder) $9,985
2020 32,036
2021 30,673
2022 27,365
2023 22,667
2024 and thereafter 55,610
Total undiscounted lease liability $178,336
Less: present value adjustment (27,995)
Operating lease liability $150,341



ARCH CAPITAL 352019 SECONDTHIRD QUARTER FORM 10-Q

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

The following table presents the contractual maturities of the Company's operating lease liabilities at September 30, 2019:
Years Ending December 31,  
2019 (remainder) $1,693
2020 31,541
2021 30,392
2022 27,096
2023 22,290
2024 and thereafter 55,080
Total undiscounted lease liability $168,092
Less: present value adjustment (20,767)
Operating lease liability $147,325


At December 31, 2018, 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 was as follows:
2019$31,088
202030,491
202129,351
202226,068
202321,408
2024 and thereafter54,745
Total$193,151

11.Variable Interest Entities and Noncontrolling Interests

Watford Holdings Ltd.
In March 2014, the Company invested $100.0 million and acquired 2,500,000 common shares, approximately 11% of Watford Holdings Ltd.’sWatford’s outstanding 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.’sWatford’s common shares are listed on the Nasdaq Select Global Market under the ticker symbol “WTRE”.
On July 2, 2019, Watford Recompleted an offering of $175.0 million in aggregate principal amount of its 6.5% senior notes, due July 2, 2029 (“Watford Senior Notes”). Interest on the Watford Senior Notes will be paid semi-annually in arrears on each January 2 and July 2, commencing January 2, 2020. The $172.4 million net proceeds from the offering were used to redeem a portion of Watford’s outstanding preference shares (“Watford Preference Shares”). The Company purchased $35.0 million in aggregate principal amount of the Watford Senior Notes.
Watford is considered a VIE and the Company concluded that it is the primary beneficiary of Watford Re.Watford. 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’sWatford’s senior notes, common and preferred shares and counterparty credit risk (mitigated by collateral) arising from reinsurance transactions.
The following table provides the carrying amount and balance sheet caption in which the assets and liabilities of Watford Re are reported:
June 30, December 31,
September 30, December 31,
2019 20182019 2018
Assets      
Investments accounted for using the fair value option$1,972,947
 $2,312,003
$2,048,295
 $2,312,003
Fixed maturities available for sale, at fair value732,454
 393,351
678,094
 393,351
Equity securities, at fair value64,703
 32,206
43,488
 32,206
Cash68,977
 63,529
80,390
 63,529
Accrued investment income16,916
 19,461
18,277
 19,461
Premiums receivable228,588
 227,301
302,265
 227,301
Reinsurance recoverable on unpaid and paid losses and LAE123,961
 86,445
144,437
 86,445
Ceded unearned premiums79,513
 61,587
129,909
 61,587
Deferred acquisition costs71,557
 80,858
67,241
 80,858
Receivable for securities sold29,425
 24,507
25,283
 24,507
Goodwill and intangible assets7,650
 7,650
7,650
 7,650
Other assets71,837
 63,959
66,165
 63,959
Total assets of consolidated VIE$3,468,528
 $3,372,857
$3,611,494
 $3,372,857
      
Liabilities      
Reserve for losses and loss adjustment expenses$1,126,080
 $1,032,760
$1,164,945
 $1,032,760
Unearned premiums375,323
 390,114
454,148
 390,114
Reinsurance balances payable23,312
 21,034
79,264
 21,034
Revolving credit agreement borrowings491,006
 455,682
490,720
 455,682
Senior notes172,350
 
Payable for securities purchased51,216
 60,142
40,586
 60,142
Other liabilities (1)219,120
 302,524
196,431
 302,524
Total liabilities of consolidated VIE$2,286,057
 $2,262,256
$2,598,444
 $2,262,256
      
Redeemable noncontrolling interests$221,175
 $220,992
$52,281
 $220,992

(1)Includes certain borrowings related to investing activities.
For the sixnine months ended JuneSeptember 30, 2019, Watford Re generated $115.9$177.2 million of cash provided by operating activities, $135.7$181.2 million of cash used for investing activities and $25.6$22.2 million of cash provided by financing activities, compared to $92.4$174.3 million of cash provided by operating activities, $168.0$208.3 million of cash used for investing activities and $2.1$24.2 million of cash used for financing activities for the sixnine months ended JuneSeptember 30, 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 June 30, 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.’

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

Non-redeemable noncontrolling interests
The Company accounts for the portion of Watford’s common equity attributable to third party investors in the shareholders’ equity section of its consolidated balance sheets. The noncontrolling ownership in Watford’s common shares was approximately 89% at September 30, 2019. The portion of Watford’s income or loss attributable to third party investors is recorded in the consolidated statements of income in ‘net (income) loss attributable to noncontrolling interests.’
The following table sets forth activity in the non-redeemable noncontrolling interests:
June 30,September 30,
2019 20182019 2018
Three Months Ended      
Balance, beginning of period$838,081
 $854,112
$855,347
 $861,153
Additional paid in capital attributable to noncontrolling interests2,074
 
205
 
Amounts attributable to noncontrolling interests12,301
 8,116
136
 16,759
Other comprehensive income (loss) attributable to noncontrolling interests2,891
 (1,075)(764) (1,158)
Balance, end of period$855,347
 $861,153
$854,924
 $876,754
      
Six Months Ended   
Nine Months Ended   
Balance, beginning of year$791,560
 $843,411
$791,560
 $843,411
Additional paid in capital attributable to noncontrolling interests2,074
 
2,279
 
Amounts attributable to noncontrolling interests54,683
 19,492
54,819
 36,251
Other comprehensive income (loss) attributable to noncontrolling interests7,030
 (1,750)6,266
 (2,908)
Balance, end of period$855,347
 $861,153
$854,924
 $876,754

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”)Shares issued in late March 2014 with a par value of $0.01 per share and a liquidation preference of $25.00 per share. The Watford Preference Shares were issued at a discounted amount of $24.50 per share. 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.
On August 1, 2019, Watford redeemed 6,919,998 of its 9,065,200 issued and outstanding Watford Preference Shares. The Watford Preference Shares were redeemed at a total redemption price of $25.19748 per share, inclusive of all declared and unpaid dividends, with accumulation of any undeclared dividends on or after June 30, 2019. In addition, the Company received $11.5 million pursuant to the redemption of Watford Preference Shares.
The following table sets forth activity in the redeemable non-controlling interests:
June 30,September 30,
2019 20182019 2018
Three Months Ended      
Balance, beginning of period$206,383
 $206,013
$206,475
 $206,105
Redemption of noncontrolling interests(157,709) 
Accretion of preference share issuance costs92
 92
23
 94
Balance, end of period$206,475
 $206,105
$48,789
 $206,199
      
Six Months Ended   
Nine Months Ended   
Balance, beginning of year$206,292
 $205,922
$206,292
 $205,922
Redemption of noncontrolling interests(157,709) 
Accretion of preference share issuance costs183
 183
206
 277
Balance, end of period$206,475
 $206,105
$48,789
 $206,199

The portion of Watford Re’sWatford’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:
June 30,September 30,
2019 20182019 2018
Three Months Ended      
Amounts attributable to non-redeemable noncontrolling interests$(12,301) $(8,116)$(136) $(16,759)
Dividends attributable to redeemable noncontrolling interests(4,590) (4,585)(6,600) (4,599)
Net (income) loss attributable to noncontrolling interests$(16,891) $(12,701)$(6,736) $(21,358)
      
Six Months Ended   
Nine Months Ended   
Amounts attributable to non-redeemable noncontrolling interests$(54,683) $(19,492)$(54,819) $(36,251)
Dividends attributable to redeemable noncontrolling interests(9,178) (9,170)(15,778) (13,769)
Net (income) loss attributable to noncontrolling interests$(63,861) $(28,662)$(70,597) $(50,020)


ARCH CAPITAL 372019 THIRD QUARTER FORM 10-Q

Table of Contents
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
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.

ARCH CAPITAL 372019 SECOND QUARTER FORM 10-Q

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

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  Maximum Exposure to Loss
Bellemeade Entities (Issue Date)Total VIE Assets On-Balance Sheet (Asset) Liability Off-Balance Sheet TotalTotal VIE Assets On-Balance Sheet (Asset) Liability Off-Balance Sheet Total
Jun 30, 2019       
Sep 30, 2019       
Bellemeade 2015-1 Ltd. (Jul-15)$19,103
 $(4) $17
 $13
$6,046
 $
 $2
 $2
Bellemeade 2017-1 Ltd. (Oct-17)277,554
 (657) 4,892
 4,235
249,737
 (345) 3,526
 3,181
Bellemeade 2018-1 Ltd. (Apr-18)374,460
 (1,965) 7,799
 5,834
362,603
 (1,351) 7,035
 5,684
Bellemeade 2018-2 Ltd. (Aug-18)571,129
 (1,957) 5,265
 3,308
507,534
 (829) 3,395
 2,566
Bellemeade 2018-3 Ltd. (Oct-18)506,110
 (2,213) 7,251
 5,038
488,430
 (916) 4,600
 3,684
Bellemeade 2019-1 Ltd. (Mar-19)329,085
 (237) 4,842
 4,605
293,595
 (210) 4,533
 4,323
Bellemeade 2019-2 Ltd. (Apr-19)621,022
 (408) 11,206
 10,798
621,022
 (367) 15,161
 14,794
Bellemeade 2019-3 Ltd. (July-19)

700,920
 (468) 11,888
 11,420
Total$2,698,463
 $(7,441) $41,272
 $33,831
$3,229,887
 $(4,486) $50,140
 $45,654
Dec 31, 2018              
Bellemeade 2015-1 Ltd. (Jul-15)$43,246
 $112
 $498
 $610
$43,246
 $112
 $498
 $610
Bellemeade 2017-1 Ltd. (Oct-17)304,373
 165
 1,312
 1,477
304,373
 165
 1,312
 1,477
Bellemeade 2018-1 Ltd. (Apr-18)374,460
 132
 3,539
 3,671
374,460
 132
 3,539
 3,671
Bellemeade 2018-2 Ltd. (Aug-18)653,278
 874
 4,005
 4,879
653,278
 874
 4,005
 4,879
Bellemeade 2018-3 Ltd. (Oct-18)506,110
 469
 1,836
 2,305
506,110
 469
 1,836
 2,305
Total$1,881,467
 $1,752
 $11,190
 $12,942
$1,881,467
 $1,752
 $11,190
 $12,942

See note 16.

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
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 Six Months Ended Consolidated Statement of Income Three Months Ended Nine Months Ended
Details About Line Item That Includes June 30, June 30, Line Item That Includes September 30, September 30,
AOCI Components Reclassification 2019 2018 2019 2018 Reclassification 2019 2018 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) $59,809
 $(38,935) $71,518
 $(106,521) Net realized gains (losses) $43,124
 $(23,888) $114,642
 $(130,409)
 Other-than-temporary impairment losses (49) (470) (1,358) (632) Other-than-temporary impairment losses (1,163) (492) (2,521) (1,124)
 Total before tax 59,760
 (39,405) 70,160
 (107,153) Total before tax 41,961
 (24,380) 112,121
 (131,533)
 Income tax (expense) benefit (4,415) 2,762
 (4,594) 8,049
 Income tax (expense) benefit (3,218) 1,177
 (7,812) 9,226
 Net of tax $55,345
 $(36,643) $65,566
 $(99,104) Net of tax $38,743
 $(23,203) $104,309
 $(122,307)

Before Tax Amount Tax Expense (Benefit) Net of Tax AmountBefore Tax Amount Tax Expense (Benefit) Net of Tax Amount
Three Months Ended June 30, 2019     
Three Months Ended September 30, 2019     
Unrealized appreciation (decline) in value of investments:          
Unrealized holding gains (losses) arising during period$248,074
 $25,601
 $222,473
$70,449
 $11,159
 $59,290
Portion of other-than-temporary impairment losses recognized in other comprehensive income (loss)
 
 

 
 
Less reclassification of net realized gains (losses) included in net income59,760
 4,415
 55,345
41,961
 3,218
 38,743
Foreign currency translation adjustments4,409
 142
 4,267
(16,507) (83) (16,424)
Other comprehensive income (loss)$192,723
 $21,328
 $171,395
$11,981
 $7,858
 $4,123
          
Three Months Ended June 30, 2018     
Three Months Ended September 30, 2018     
Unrealized appreciation (decline) in value of investments:          
Unrealized holding gains (losses) arising during period$(88,034) $(2,763) $(85,271)$(57,812) $(4,504) $(53,308)
Portion of other-than-temporary impairment losses recognized in other comprehensive income (loss)
 
 

 
 
Less reclassification of net realized gains (losses) included in net income(39,405) (2,762) (36,643)(24,380) (1,177) (23,203)
Foreign currency translation adjustments(12,701) (106) (12,595)2,167
 104
 2,063
Other comprehensive income (loss)$(61,330) $(107) $(61,223)$(31,265) $(3,223) $(28,042)
          
Six Months Ended June 30, 2019     
Nine Months Ended September 30, 2019     
Unrealized appreciation (decline) in value of investments:          
Unrealized holding gains (losses) arising during period$503,064
 $54,704
 $448,360
$573,513
 $65,863
 $507,650
Portion of other-than-temporary impairment losses recognized in other comprehensive income (loss)
 
 

 
 
Less reclassification of net realized gains (losses) included in net income70,160
 4,594
 65,566
112,121
 7,812
 104,309
Foreign currency translation adjustments10,053
 270
 9,783
(6,454) 187
 (6,641)
Other comprehensive income (loss)$442,957
 $50,380
 $392,577
$454,938
 $58,238
 $396,700
          
Six Months Ended June 30, 2018     
Nine Months Ended September 30, 2018     
Unrealized appreciation (decline) in value of investments:          
Unrealized holding gains (losses) arising during period$(277,977) $(26,029) $(251,948)$(335,789) $(30,533) $(305,256)
Portion of other-than-temporary impairment losses recognized in other comprehensive income (loss)
 
 

 
 
Less reclassification of net realized gains (losses) included in net income(107,153) (8,049) (99,104)(131,533) (9,226) (122,307)
Foreign currency translation adjustments(11,269) 44
 (11,313)(9,102) 148
 (9,250)
Other comprehensive income (loss)$(182,093) $(17,936) $(164,157)$(213,358) $(21,159) $(192,199)



ARCH CAPITAL 392019 SECONDTHIRD QUARTER FORM 10-Q

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

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. The senior notes of Arch-U.S. due November 1, 2043 are fully and unconditionally guaranteed by Arch Capital.

June 30, 2019
September 30, 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$40
 $483,904
 $22,693,719
 $(49,700) $23,127,963
Total investments$41
 $918,720
 $22,737,556
 $(38,982) $23,617,335
CashCash10,750
 47,875
 546,691
 
 605,316
Cash12,696
 72,727
 794,676
 
 880,099
Investments in subsidiariesInvestments in subsidiaries11,045,465
 4,493,198
 
 (15,538,663) 
Investments in subsidiaries11,454,186
 4,189,656
 
 (15,643,842) 
Due from subsidiaries and affiliatesDue from subsidiaries and affiliates332
 2
 1,881,929
 (1,882,263) 
Due from subsidiaries and affiliates106
 2
 1,899,559
 (1,899,667) 
Premiums receivablePremiums receivable
 
 2,291,360
 (685,320) 1,606,040
Premiums receivable
 
 2,446,539
 (828,353) 1,618,186
Reinsurance recoverable on unpaid and paid losses and loss adjustment expensesReinsurance recoverable on unpaid and paid losses and loss adjustment expenses
 
 8,618,279
 (5,447,022) 3,171,257
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses
 
 8,490,131
 (5,321,936) 3,168,195
Contractholder receivablesContractholder receivables
 
 2,102,544
 
 2,102,544
Contractholder receivables
 
 2,094,683
 
 2,094,683
Ceded unearned premiumsCeded unearned premiums
 
 1,984,219
 (847,491) 1,136,728
Ceded unearned premiums
 
 2,149,492
 (981,234) 1,168,258
Deferred acquisition costsDeferred acquisition costs
 
 658,992
 (58,252) 600,740
Deferred acquisition costs
 
 674,559
 (52,531) 622,028
Goodwill and intangible assetsGoodwill and intangible assets
 
 641,010
 
 641,010
Goodwill and intangible assets
 
 624,500
 
 624,500
Other assetsOther assets22,950
 40,345
 1,953,732
 (156,955) 1,860,072
Other assets21,336
 25,586
 1,875,817
 (143,420) 1,779,319
Total assets$11,079,537
 $5,065,324
 $43,372,475
 $(24,665,666) $34,851,670
Total assets$11,488,365
 $5,206,691
 $43,787,512
 $(24,909,965) $35,572,603
                    
LiabilitiesLiabilities         Liabilities         
Reserve for losses and loss adjustment expensesReserve for losses and loss adjustment expenses$
 $
 $17,430,847
 $(5,200,531) $12,230,316
Reserve for losses and loss adjustment expenses$
 $
 $17,486,844
 $(5,097,460) $12,389,384
Unearned premiumsUnearned premiums
 
 4,904,351
 (847,491) 4,056,860
Unearned premiums
 
 5,224,606
 (981,234) 4,243,372
Reinsurance balances payableReinsurance balances payable
 
 1,217,310
 (685,320) 531,990
Reinsurance balances payable
 
 1,430,244
 (828,353) 601,891
Contractholder payablesContractholder payables
 
 2,102,544
 
 2,102,544
Contractholder payables
 
 2,094,683
 
 2,094,683
Collateral held for insured obligationsCollateral held for insured obligations
 
 237,056
 

 237,056
Collateral held for insured obligations
 
 205,449
 

 205,449
Senior notesSenior notes297,201
 494,776
 941,888
 
 1,733,865
Senior notes297,228
 494,803
 1,114,355
 (35,000) 1,871,386
Revolving credit agreement borrowingsRevolving credit agreement borrowings
 
 491,006
 
 491,006
Revolving credit agreement borrowings
 
 490,720
 
 490,720
Due to subsidiaries and affiliatesDue to subsidiaries and affiliates9
 536,747
 1,345,507
 (1,882,263) 
Due to subsidiaries and affiliates8
 542,103
 1,357,556
 (1,899,667) 
Other liabilitiesOther liabilities24,975
 64,956
 2,055,626
 (496,698) 1,648,859
Other liabilities33,033
 55,585
 1,946,208
 (420,917) 1,613,909
Total liabilities322,185
 1,096,479
 30,726,135
 (9,112,303) 23,032,496
Total liabilities330,269
 1,092,491
 31,350,665
 (9,262,631) 23,510,794
                    
Redeemable noncontrolling interestsRedeemable noncontrolling interests
 
 221,175
 (14,700) 206,475
Redeemable noncontrolling interests
 
 52,281
 (3,492) 48,789
                    
Shareholders’ EquityShareholders’ Equity         Shareholders’ Equity         
Total shareholders’ equity available to ArchTotal shareholders’ equity available to Arch10,757,352
 3,968,845
 11,569,818
 (15,538,663) 10,757,352
Total shareholders’ equity available to Arch11,158,096
 4,114,200
 11,529,642
 (15,643,842) 11,158,096
Non-redeemable noncontrolling interestsNon-redeemable noncontrolling interests
 
 855,347
 
 855,347
Non-redeemable noncontrolling interests
 
 854,924
 
 854,924
Total shareholders’ equity10,757,352
 3,968,845
 12,425,165
 (15,538,663) 11,612,699
Total shareholders’ equity11,158,096
 4,114,200
 12,384,566
 (15,643,842) 12,013,020
                   
Total liabilities, noncontrolling interests and shareholders’ equity$11,079,537
 $5,065,324
 $43,372,475
 $(24,665,666) $34,851,670
Total liabilities, noncontrolling interests and shareholders’ equity$11,488,365
 $5,206,691
 $43,787,512
 $(24,909,965) $35,572,603







ARCH CAPITAL 402019 SECONDTHIRD QUARTER FORM 10-Q

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


  December 31, 2018
Condensed Consolidating Balance SheetArch Capital (Parent Guarantor) Arch-U.S. (Subsidiary Issuer) Other Arch Capital Subsidiaries Consolidating Adjustments and Eliminations Arch Capital Consolidated
Assets         
Total investments$104
 $452,674
 $21,307,206
 $(14,700) $21,745,284
Cash6,125
 5,940
 634,491
 
 646,556
Investments in subsidiaries9,735,256
 3,999,243
 
 (13,734,499) 
Due from subsidiaries and affiliates9
 2
 1,802,686
 (1,802,697) 
Premiums receivable
 
 1,834,389
 (535,239) 1,299,150
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses
 
 8,618,660
 (5,699,288) 2,919,372
Contractholder receivables
 
 2,079,111
 
 2,079,111
Ceded unearned premiums
 
 1,730,262
 (754,793) 975,469
Deferred acquisition costs
 
 618,535
 (48,961) 569,574
Goodwill and intangible assets
 
 634,920
 
 634,920
Other assets12,588
 80,949
 1,466,438
 (211,082) 1,348,893
 Total assets$9,754,082
 $4,538,808
 $40,726,698
 $(22,801,259) $32,218,329
           
Liabilities         
Reserve for losses and loss adjustment expenses$
 $
 $17,345,142
 $(5,491,845) $11,853,297
Unearned premiums
 
 4,508,429
 (754,793) 3,753,636
Reinsurance balances payable
 
 928,346
 (535,239) 393,107
Contractholder payables
 
 2,079,111
 
 2,079,111
Collateral held for insured obligations
 
 236,630
 
 236,630
Senior notes297,150
 494,723
 941,655
 
 1,733,528
Revolving credit agreement borrowings
 
 455,682
 
 455,682
Due to subsidiaries and affiliates
 536,805
 1,265,892
 (1,802,697) 
Other liabilities17,105
 26,270
 1,699,768
 (467,484) 1,275,659
 Total liabilities314,255
 1,057,798
 29,460,655
 (9,052,058) 21,780,650
           
Redeemable noncontrolling interests
 
 220,992
 (14,700) 206,292
           
Shareholders’ Equity         
Total shareholders’ equity available to Arch9,439,827
 3,481,010
 10,253,491
 (13,734,501) 9,439,827
Non-redeemable noncontrolling interests
 
 791,560
 
 791,560
 Total shareholders’ equity9,439,827
 3,481,010
 11,045,051
 (13,734,501) 10,231,387
          
 Total liabilities, noncontrolling interests and shareholders’ equity$9,754,082
 $4,538,808
 $40,726,698
 $(22,801,259) $32,218,329


ARCH CAPITAL 412019 SECONDTHIRD QUARTER FORM 10-Q

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


 Three Months Ended June 30, 2019 Three Months Ended September 30, 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$
 $
 $1,463,727
 $
 $1,463,727
Net premiums earned$
 $
 $1,438,023
 $
 $1,438,023
Net investment incomeNet investment income38
 2,847
 174,738
 (22,585) 155,038
Net investment income81
 2,899
 181,621
 (23,113) 161,488
Net realized gains (losses)Net realized gains (losses)
 5,825
 115,620
 (639) 120,806
Net realized gains (losses)
 1,880
 66,683
 (6,045) 62,518
Net impairment losses recognized in earningsNet impairment losses recognized in earnings
 
 (49) 
 (49)Net impairment losses recognized in earnings
 
 (1,163) 
 (1,163)
Other underwriting incomeOther underwriting income
 
 5,953
 
 5,953
Other underwriting income
 
 3,326
 
 3,326
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
 (64) 32,600
 
 32,536
Equity in net income (loss) of investment funds accounted for using the equity method
 600
 16,530
 
 17,130
Other income (loss)Other income (loss)(242) 
 1,371
 
 1,129
Other income (loss)(153) 
 1,491
 
 1,338
Total revenues(204) 8,608
 1,793,960
 (23,224) 1,779,140
Total revenues(72) 5,379
 1,706,511
 (29,158) 1,682,660
                    
ExpensesExpenses         Expenses         
Losses and loss adjustment expensesLosses and loss adjustment expenses
 
 767,543
 
 767,543
Losses and loss adjustment expenses
 
 802,455
 
 802,455
Acquisition expensesAcquisition expenses
 
 210,089
 
 210,089
Acquisition expenses
 
 211,120
 
 211,120
Other operating expensesOther operating expenses
 
 198,914
 
 198,914
Other operating expenses
 
 196,512
 
 196,512
Corporate expensesCorporate expenses15,293
 2,115
 843
 
 18,251
Corporate expenses15,066
 1,631
 364
 
 17,061
Amortization of intangible assetsAmortization of intangible assets
 
 19,794
 
 19,794
Amortization of intangible assets
 
 20,003
 
 20,003
Interest expenseInterest expense5,538
 11,996
 34,012
 (22,266) 29,280
Interest expense5,539
 12,019
 36,712
 (22,942) 31,328
Net foreign exchange (gains) lossesNet foreign exchange (gains) losses
 
 (1,187) 6,139
 4,952
Net foreign exchange (gains) losses1
 
 (25,405) (7,720) (33,124)
Total expenses20,831
 14,111
 1,230,008
 (16,127) 1,248,823
Total expenses20,606
 13,650
 1,241,761
 (30,662) 1,245,355
                    
Income (loss) before income taxesIncome (loss) before income taxes(21,035) (5,503) 563,952
 (7,097) 530,317
Income (loss) before income taxes(20,678) (8,271) 464,750
 1,504
 437,305
Income tax (expense) benefitIncome tax (expense) benefit
 1,301
 (45,773) 
 (44,472)Income tax (expense) benefit
 1,647
 (39,763) 
 (38,116)
Income (loss) before equity in net income of subsidiariesIncome (loss) before equity in net income of subsidiaries(21,035) (4,202) 518,179
 (7,097) 485,845
Income (loss) before equity in net income of subsidiaries(20,678) (6,624) 424,987
 1,504
 399,189
Equity in net income of subsidiariesEquity in net income of subsidiaries489,989
 148,747
 
 (638,736) 
Equity in net income of subsidiaries413,131
 124,814
 
 (537,945) 
Net incomeNet income468,954
 144,545
 518,179
 (645,833) 485,845
Net income392,453
 118,190
 424,987
 (536,441) 399,189
Net (income) loss attributable to noncontrolling interestsNet (income) loss attributable to noncontrolling interests
 
 (17,210) 319
 (16,891)Net (income) loss attributable to noncontrolling interests
 
 (6,906) 170
 (6,736)
Net income available to ArchNet income available to Arch468,954
 144,545
 500,969
 (645,514) 468,954
Net income available to Arch392,453
 118,190
 418,081
 (536,271) 392,453
Preferred dividendsPreferred dividends(10,403) 
 
 
 (10,403)Preferred dividends(10,403) 
 
 
 (10,403)
Net income available to Arch common shareholdersNet income available to Arch common shareholders$458,551
 $144,545
 $500,969
 $(645,514) $458,551
Net income available to Arch common shareholders$382,050
 $118,190
 $418,081
 $(536,271) $382,050
                    
Comprehensive income available to ArchComprehensive income available to Arch$637,458
 $231,120
 $663,685
 $(894,805) $637,458
Comprehensive income available to Arch$397,340
 $138,832
 $427,238
 $(566,070) $397,340


ARCH CAPITAL 422019 SECONDTHIRD QUARTER FORM 10-Q

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


 Three Months Ended June 30, 2018 Three Months Ended September 30, 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$
 $
 $1,336,763
 $
 $1,336,763
Net premiums earned$
 $
 $1,290,878
 $
 $1,290,878
Net investment incomeNet investment income15
 560
 157,532
 (22,439) 135,668
Net investment income2
 1,202
 165,289
 (22,469) 144,024
Net realized gains (losses)Net realized gains (losses)
 
 (76,611) 
 (76,611)Net realized gains (losses)
 (64) (51,641) 
 (51,705)
Net impairment losses recognized in earningsNet impairment losses recognized in earnings
 
 (470) 
 (470)Net impairment losses recognized in earnings
 
 (492) 
 (492)
Other underwriting incomeOther underwriting income
 
 3,874
 
 3,874
Other underwriting income
 
 5,823
 
 5,823
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
 
 8,472
 
 8,472
Equity in net income (loss) of investment funds accounted for using the equity method
 
 15,982
 
 15,982
Other income (loss)Other income (loss)2,339
 
 774
 
 3,113
Other income (loss)(195) 
 (531) 
 (726)
Total revenues2,354
 560
 1,430,334
 (22,439) 1,410,809
Total revenues(193) 1,138
 1,425,308
 (22,469) 1,403,784
                    
ExpensesExpenses         Expenses         
Losses and loss adjustment expensesLosses and loss adjustment expenses
 
 726,153
 
 726,153
Losses and loss adjustment expenses
 
 699,420
 
 699,420
Acquisition expensesAcquisition expenses
 
 202,838
 
 202,838
Acquisition expenses
 
 201,602
 
 201,602
Other operating expensesOther operating expenses
 
 176,181
 
 176,181
Other operating expenses
 
 161,098
 
 161,098
Corporate expensesCorporate expenses16,642
 470
 5,400
 
 22,512
Corporate expenses15,170
 446
 (1,281) 
 14,335
Amortization of intangible assetsAmortization of intangible assets
 
 26,472
 
 26,472
Amortization of intangible assets
 
 26,315
 
 26,315
Interest expenseInterest expense5,537
 12,013
 34,911
 (22,117) 30,344
Interest expense5,536
 12,075
 34,276
 (22,157) 29,730
Net foreign exchange (gains) lossesNet foreign exchange (gains) losses
 
 (43,357) (10,349) (53,706)Net foreign exchange (gains) losses
 
 (10,426) (412) (10,838)
Total expenses22,179
 12,483
 1,128,598
 (32,466) 1,130,794
Total expenses20,706
 12,521
 1,111,004
 (22,569) 1,121,662
                    
Income (loss) before income taxesIncome (loss) before income taxes(19,825) (11,923) 301,736
 10,027
 280,015
Income (loss) before income taxes(20,899) (11,383) 314,304
 100
 282,122
Income tax (expense) benefitIncome tax (expense) benefit
 2,477
 (26,145) 
 (23,668)Income tax (expense) benefit
 2,276
 (35,632) 
 (33,356)
Income (loss) before equity in net income of subsidiariesIncome (loss) before equity in net income of subsidiaries(19,825) (9,446) 275,591
 10,027
 256,347
Income (loss) before equity in net income of subsidiaries(20,899) (9,107) 278,672
 100
 248,766
Equity in net income of subsidiariesEquity in net income of subsidiaries263,471
 86,727
 
 (350,198) 
Equity in net income of subsidiaries248,307
 92,906
 
 (341,213) 
Net income (loss)Net income (loss)243,646
 77,281
 275,591
 (340,171) 256,347
Net income (loss)227,408
 83,799
 278,672
 (341,113) 248,766
Net (income) loss attributable to noncontrolling interestsNet (income) loss attributable to noncontrolling interests
 
 (13,023) 322
 (12,701)Net (income) loss attributable to noncontrolling interests
 
 (21,669) 311
 (21,358)
Net income (loss) available to ArchNet income (loss) available to Arch243,646
 77,281
 262,568
 (339,849) 243,646
Net income (loss) available to Arch227,408
 83,799
 257,003
 (340,802) 227,408
Preferred dividendsPreferred dividends(10,403) 
 
 
 (10,403)Preferred dividends(10,402) 
 
 
 (10,402)
Net income (loss) available to Arch common shareholdersNet income (loss) available to Arch common shareholders$233,243
 $77,281
 $262,568
 $(339,849) $233,243
Net income (loss) available to Arch common shareholders$217,006
 $83,799
 $257,003
 $(340,802) $217,006
                    
Comprehensive income available to ArchComprehensive income available to Arch$183,500
 $70,066
 $212,802
 $(282,868) $183,500
Comprehensive income available to Arch$200,524
 $77,389
 $230,565
 $(307,954) $200,524



ARCH CAPITAL 432019 SECONDTHIRD QUARTER FORM 10-Q

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

 Six Months Ended June 30, 2019 Nine Months Ended September 30, 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$
 $
 $2,832,593
 $
 $2,832,593
Net premiums earned$
 $
 $4,270,616
 $
 $4,270,616
Net investment incomeNet investment income84
 6,526
 350,410
 (45,033) 311,987
Net investment income165
 9,425
 532,031
 (68,146) 473,475
Net realized gains (losses)Net realized gains (losses)
 14,343
 253,673
 (5,645) 262,371
Net realized gains (losses)
 16,223
 320,356
 (11,690) 324,889
Net impairment losses recognized in earningsNet impairment losses recognized in earnings
 
 (1,358) 
 (1,358)Net impairment losses recognized in earnings
 
 (2,521) 
 (2,521)
Other underwriting incomeOther underwriting income
 
 14,778
 
 14,778
Other underwriting income
 
 18,104
 
 18,104
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
 (64) 79,467
 
 79,403
Equity in net income (loss) of investment funds accounted for using the equity method
 536
 95,997
 
 96,533
Other income (loss)Other income (loss)(481) 
 2,693
 
 2,212
Other income (loss)(634) 
 4,184
 
 3,550
Total revenues(397) 20,805
 3,532,256
 (50,678) 3,501,986
Total revenues(469) 26,184
 5,238,767
 (79,836) 5,184,646
                    
ExpensesExpenses         Expenses         
Losses and loss adjustment expensesLosses and loss adjustment expenses
 
 1,486,075
 
 1,486,075
Losses and loss adjustment expenses
 
 2,288,530
 
 2,288,530
Acquisition expensesAcquisition expenses
 
 407,937
 
 407,937
Acquisition expenses
 
 619,057
 
 619,057
Other operating expensesOther operating expenses
 
 400,077
 
 400,077
Other operating expenses
 
 596,589
 
 596,589
Corporate expensesCorporate expenses31,600
 4,281
 332
 
 36,213
Corporate expenses46,666
 5,912
 696
 
 53,274
Amortization of intangible assetsAmortization of intangible assets
 
 40,211
 
 40,211
Amortization of intangible assets
 
 60,214
 
 60,214
Interest expenseInterest expense11,076
 23,947
 67,718
 (44,396) 58,345
Interest expense16,615
 35,966
 104,430
 (67,338) 89,673
Net foreign exchange (gains) lossesNet foreign exchange (gains) losses2
 
 (1,310) 2,735
 1,427
Net foreign exchange (gains) losses3
 
 (26,715) (4,985) (31,697)
Total expenses42,678
 28,228
 2,401,040
 (41,661) 2,430,285
Total expenses63,284
 41,878
 3,642,801
 (72,323) 3,675,640
                    
Income (loss) before income taxesIncome (loss) before income taxes(43,075) (7,423) 1,131,216
 (9,017) 1,071,701
Income (loss) before income taxes(63,753) (15,694) 1,595,966
 (7,513) 1,509,006
Income tax (expense) benefitIncome tax (expense) benefit
 1,844
 (92,202) 
 (90,358)Income tax (expense) benefit
 3,491
 (131,965) 
 (128,474)
Income (loss) before equity in net income of subsidiariesIncome (loss) before equity in net income of subsidiaries(43,075) (5,579) 1,039,014
 (9,017) 981,343
Income (loss) before equity in net income of subsidiaries(63,753) (12,203) 1,464,001
 (7,513) 1,380,532
Equity in net income of subsidiariesEquity in net income of subsidiaries960,557
 285,301
 
 (1,245,858) 
Equity in net income of subsidiaries1,373,688
 410,115
 
 (1,783,803) 
Net incomeNet income917,482
 279,722
 1,039,014
 (1,254,875) 981,343
Net income1,309,935
 397,912
 1,464,001
 (1,791,316) 1,380,532
Net (income) loss attributable to noncontrolling interestsNet (income) loss attributable to noncontrolling interests
 
 (64,499) 638
 (63,861)Net (income) loss attributable to noncontrolling interests
 
 (71,405) 808
 (70,597)
Net income available to ArchNet income available to Arch917,482
 279,722
 974,515
 (1,254,237) 917,482
Net income available to Arch1,309,935
 397,912
 1,392,596
 (1,790,508) 1,309,935
Preferred dividendsPreferred dividends(20,806) 
 
 
 (20,806)Preferred dividends(31,209) 
 
 
 (31,209)
Net income available to Arch common shareholdersNet income available to Arch common shareholders$896,676
 $279,722
 $974,515
 $(1,254,237) $896,676
Net income available to Arch common shareholders$1,278,726
 $397,912
 $1,392,596
 $(1,790,508) $1,278,726
                    
Comprehensive income available to ArchComprehensive income available to Arch$1,303,029
 $469,276
 $1,352,225
 $(1,821,501) $1,303,029
Comprehensive income available to Arch$1,700,369
 $608,108
 $1,779,463
 $(2,387,571) $1,700,369


ARCH CAPITAL 442019 SECONDTHIRD QUARTER FORM 10-Q

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


 Six Months Ended June 30, 2018 Nine Months Ended September 30, 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$
 $
 $2,571,662
 $
 $2,571,662
Net premiums earned$
 $
 $3,862,540
 $
 $3,862,540
Net investment incomeNet investment income35
 818
 306,299
 (44,760) 262,392
Net investment income37
 2,020
 471,588
 (67,229) 406,416
Net realized gains (losses)Net realized gains (losses)29
 (7) (187,631) 
 (187,609)Net realized gains (losses)29
 (71) (239,272) 
 (239,314)
Net impairment losses recognized in earningsNet impairment losses recognized in earnings
 
 (632) 
 (632)Net impairment losses recognized in earnings
 
 (1,124) 
 (1,124)
Other underwriting incomeOther underwriting income
 
 9,223
 
 9,223
Other underwriting income
 
 15,046
 
 15,046
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
 
 36,541
 
 36,541
Equity in net income (loss) of investment funds accounted for using the equity method
 
 52,523
 
 52,523
Other income (loss)Other income (loss)2,261
 
 926
 
 3,187
Other income (loss)2,066
 
 395
 
 2,461
Total revenues2,325
 811
 2,736,388
 (44,760) 2,694,764
Total revenues2,132
 1,949
 4,161,696
 (67,229) 4,098,548
                    
ExpensesExpenses         Expenses         
Losses and loss adjustment expensesLosses and loss adjustment expenses
 
 1,363,013
 
 1,363,013
Losses and loss adjustment expenses
 
 2,062,433
 
 2,062,433
Acquisition expensesAcquisition expenses
 
 394,214
 
 394,214
Acquisition expenses
 
 595,816
 
 595,816
Other operating expensesOther operating expenses
 
 351,196
 
 351,196
Other operating expenses
 
 512,294
 
 512,294
Corporate expensesCorporate expenses32,811
 759
 4,254
 
 37,824
Corporate expenses47,981
 1,205
 2,973
 
 52,159
Amortization of intangible assetsAmortization of intangible assets
 
 53,208
 
 53,208
Amortization of intangible assets
 
 79,523
 
 79,523
Interest expenseInterest expense11,073
 23,939
 70,083
 (44,115) 60,980
Interest expense16,609
 36,014
 104,359
 (66,272) 90,710
Net foreign exchange (gains) lossesNet foreign exchange (gains) losses29
 
 (26,921) (7,093) (33,985)Net foreign exchange (gains) losses29
 
 (37,347) (7,505) (44,823)
Total expenses43,913
 24,698
 2,209,047
 (51,208) 2,226,450
Total expenses64,619
 37,219
 3,320,051
 (73,777) 3,348,112
                    
Income (loss) before income taxesIncome (loss) before income taxes(41,588) (23,887) 527,341
 6,448
 468,314
Income (loss) before income taxes(62,487) (35,270) 841,645
 6,548
 750,436
Income tax (expense) benefitIncome tax (expense) benefit
 5,428
 (51,011) 
 (45,583)Income tax (expense) benefit
 7,704
 (86,643) 
 (78,939)
Income (loss) before equity in net income of subsidiariesIncome (loss) before equity in net income of subsidiaries(41,588) (18,459) 476,330
 6,448
 422,731
Income (loss) before equity in net income of subsidiaries(62,487) (27,566) 755,002
 6,548
 671,497
Equity in net income of subsidiariesEquity in net income of subsidiaries435,657
 173,147
 
 (608,804) 
Equity in net income of subsidiaries683,964
 266,053
 
 (950,017) 
Net incomeNet income394,069
 154,688
 476,330
 (602,356) 422,731
Net income621,477
 238,487
 755,002
 (943,469) 671,497
Net (income) loss attributable to noncontrolling interestsNet (income) loss attributable to noncontrolling interests
 
 (29,307) 645
 (28,662)Net (income) loss attributable to noncontrolling interests
 
 (50,976) 956
 (50,020)
Net income available to ArchNet income available to Arch394,069
 154,688
 447,023
 (601,711) 394,069
Net income available to Arch621,477
 238,487
 704,026
 (942,513) 621,477
Preferred dividendsPreferred dividends(20,840) 
 
 
 (20,840)Preferred dividends(31,242) 
 
 
 (31,242)
Loss on redemption of preferred sharesLoss on redemption of preferred shares(2,710) 
 
 
 (2,710)Loss on redemption of preferred shares(2,710) 
 
 
 (2,710)
Net income available to Arch common shareholdersNet income available to Arch common shareholders$370,519
 $154,688
 $447,023
 $(601,711) $370,519
Net income available to Arch common shareholders$587,525
 $238,487
 $704,026
 $(942,513) $587,525
                    
Comprehensive income available to ArchComprehensive income available to Arch$231,662
 $76,603
 $291,883
 $(368,486) $231,662
Comprehensive income available to Arch$432,186
 $153,992
 $522,448
 $(676,440) $432,186




ARCH CAPITAL 452019 SECONDTHIRD QUARTER FORM 10-Q

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


 Six Months Ended June 30, 2019 Nine Months Ended September 30, 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$30,946
 $24,059
 $749,885
 $(92,366) $712,524
Net Cash Provided By (Used For) Operating Activities$42,221
 $525,712
 $1,554,406
 $(579,200) $1,543,139
Investing ActivitiesInvesting Activities         Investing Activities         
Purchases of fixed maturity investmentsPurchases of fixed maturity investments
 (358,996) (15,973,650) 
 (16,332,646)Purchases of fixed maturity investments
 (868,773) (23,313,996) 172,146
 (24,010,623)
Purchases of equity securitiesPurchases of equity securities
 (56,441) (447,742) 72,244
 (431,939)Purchases of equity securities
 (74,502) (520,292) 70,743
 (524,051)
Purchases of other investmentsPurchases of other investments
 (17,891) (659,172) 
 (677,063)Purchases of other investments
 (28,557) (986,368) 
 (1,014,925)
Proceeds from the sales of fixed maturity investmentsProceeds from the sales of fixed maturity investments
 452,729
 15,179,753
 
 15,632,482
Proceeds from the sales of fixed maturity investments
 482,804
 22,373,404
 (148,354) 22,707,854
Proceeds from the sales of equity securitiesProceeds from the sales of equity securities
 
 248,945
 (72,244) 176,701
Proceeds from the sales of equity securities
 7,441
 434,432
 (70,743) 371,130
Proceeds from the sales, redemptions and maturities of other investmentsProceeds from the sales, redemptions and maturities of other investments
 391
 534,307
 
 534,698
Proceeds from the sales, redemptions and maturities of other investments
 1,057
 826,460
 
 827,517
Proceeds from redemptions and maturities of fixed maturity investmentsProceeds from redemptions and maturities of fixed maturity investments
 100
 244,849
 
 244,949
Proceeds from redemptions and maturities of fixed maturity investments
 
 394,719
 
 394,719
Net settlements of derivative instrumentsNet settlements of derivative instruments
 
 87,701
 
 87,701
Net settlements of derivative instruments
 
 92,423
 
 92,423
Net (purchases) sales of short-term investmentsNet (purchases) sales of short-term investments64
 (2,015) 203,471
 
 201,520
Net (purchases) sales of short-term investments63
 31,605
 97,410
 
 129,078
Change in cash collateral related to securities lendingChange in cash collateral related to securities lending
 
 7,590
 
 7,590
Change in cash collateral related to securities lending
 
 6,990
 
 6,990
Contributions to subsidiariesContributions to subsidiaries(2,121) 
 (59,527) 61,648
 
Contributions to subsidiaries(2,121) 
 (70,125) 72,246
 
Issuance of intercompany loansIssuance of intercompany loans
 
 (53,828) 53,828
 
Issuance of intercompany loans
 
 (53,828) 53,828
 
Purchases of fixed assetsPurchases of fixed assets(32) 
 (16,327) 
 (16,359)Purchases of fixed assets(32) 
 (27,603) 
 (27,635)
OtherOther
 
 (174,578) 
 (174,578)Other
 (10,000) (192,953) 
 (202,953)
Net Cash Provided By (Used For) Investing Activities(2,089) 17,877
 (878,208) 115,476
 (746,944)Net Cash Provided By (Used For) Investing Activities(2,090) (458,925) (939,327) 149,866
 (1,250,476)
Financing ActivitiesFinancing Activities         Financing Activities         
Purchases of common shares under share repurchase programPurchases of common shares under share repurchase program(2,871) 
 
 
 (2,871)Purchases of common shares under share repurchase program(2,871) 
 
 
 (2,871)
Proceeds from common shares issued, netProceeds from common shares issued, net(557) 
 61,648
 (61,648) (557)Proceeds from common shares issued, net518
 
 72,246
 (72,246) 518
Proceeds from intercompany borrowingsProceeds from intercompany borrowings
 
 53,828
 (53,828) 
Proceeds from intercompany borrowings
 
 53,828
 (53,828) 
Proceeds from borrowingsProceeds from borrowings
 
 62,800
 
 62,800
Proceeds from borrowings
 
 235,083
 (35,000) 200,083
Repayments of intercompany borrowingsRepayments of intercompany borrowings
 
 
 
 
Repayments of borrowingsRepayments of borrowings
 
 (27,538) 
 (27,538)Repayments of borrowings
 
 (27,538) 
 (27,538)
Change in cash collateral related to securities lendingChange in cash collateral related to securities lending
 
 (7,590) 
 (7,590)Change in cash collateral related to securities lending
 
 (6,990) 
 (6,990)
Change in third party investment in redeemable noncontrolling interestsChange in third party investment in redeemable noncontrolling interests
 
 (173,082) 11,208
 (161,874)
Dividends paid to redeemable noncontrolling interestsDividends paid to redeemable noncontrolling interests
 
 (9,632) 638
 (8,994)Dividends paid to redeemable noncontrolling interests
 
 (12,217) 809
 (11,408)
Dividends paid to parent (1)Dividends paid to parent (1)
 
 (91,728) 91,728
 
Dividends paid to parent (1)
 
 (578,391) 578,391
 
OtherOther
 
 (3,529) 
 (3,529)Other
 
 (5,207) 
 (5,207)
Preferred dividends paidPreferred dividends paid(20,806) 
 
 
 (20,806)Preferred dividends paid(31,209) 
 
 
 (31,209)
Net Cash Provided By (Used For) Financing Activities(24,234) 
 38,259
 (23,110) (9,085)Net Cash Provided By (Used For) Financing Activities(33,562) 
 (442,268) 429,334
 (46,496)
Effects of exchange rates changes on foreign currency cash and restricted cashEffects of exchange rates changes on foreign currency cash and restricted cash
 
 1,937
 
 1,937
Effects of exchange rates changes on foreign currency cash and restricted cash
 
 (8,335) 
 (8,335)
Increase (decrease) in cash and restricted cashIncrease (decrease) in cash and restricted cash4,623
 41,936
 (88,127) 
 (41,568)Increase (decrease) in cash and restricted cash6,569
 66,787
 164,476
 
 237,832
Cash and restricted cash, beginning of yearCash and restricted cash, beginning of year6,159
 5,940
 712,544
 
 724,643
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$10,782
 $47,876
 $624,417
 $
 $683,075
Cash and restricted cash, end of period$12,728
 $72,727
 $877,020
 $
 $962,475

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


ARCH CAPITAL 462019 SECONDTHIRD QUARTER FORM 10-Q

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


  Six Months Ended June 30, 2018
Condensed Consolidating Statement
of Cash Flows
Arch Capital (Parent Guarantor) Arch-U.S. (Subsidiary Issuer) Other Arch Capital Subsidiaries Consolidating Adjustments and Eliminations Arch Capital Consolidated
Operating Activities         
 Net Cash Provided By (Used For) Operating Activities$201,487
 $149,576
 $1,010,703
 $(864,880) $496,886
Investing Activities         
Purchases of fixed maturity investments
 (125,440) (17,347,846) 605,716
 (16,867,570)
Purchases of equity securities
 
 (679,663) 
 (679,663)
Purchases of other investments
 
 (1,017,147) 
 (1,017,147)
Proceeds from the sales of fixed maturity investments
 33,793
 16,662,466
 (605,716) 16,090,543
Proceeds from the sales of equity securities
 
 622,068
 
 622,068
Proceeds from the sales, redemptions and maturities of other investments
 
 773,298
 
 773,298
Proceeds from redemptions and maturities of fixed maturity investments
 
 511,448
 
 511,448
Net settlements of derivative instruments
 
 4,498
 
 4,498
Net (purchases) sales of short-term investments96,446
 (59,798) 415,253
 
 451,901
Change in cash collateral related to securities lending
 
 176,304
 
 176,304
Contributions to subsidiaries
 (1,000) (22,595) 23,595
 
Purchases of fixed assets(71) 
 (13,171) 
 (13,242)
Other(4) 
 49,965
 
 49,961
 Net Cash Provided By (Used For) Investing Activities96,371
 (152,445) 134,878
 23,595
 102,399
Financing Activities         
Redemption of preferred shares(92,555) 
 
 
 (92,555)
Purchases of common shares under share repurchase program(173,575) 
 
 
 (173,575)
Proceeds from common shares issued, net(13,851) 
 23,595
 (23,595) (13,851)
Proceeds from borrowings
 
 130,579
 
 130,579
Repayments of borrowings
 
 (373,000) 
 (373,000)
Change in cash collateral related to securities lending
 
 (176,304) 
 (176,304)
Dividends paid to redeemable noncontrolling interests
 
 (9,632) 638
 (8,994)
Dividends paid to parent (1)
 
 (864,242) 864,242
 
Other
 
 (4,489) 
 (4,489)
Preferred dividends paid(20,840) 
 
 
 (20,840)
 Net Cash Provided By (Used For) Financing Activities(300,821) 
 (1,273,493) 841,285
 (733,029)
Effects of exchange rates changes on foreign currency cash and restricted cash
 
 (10,431) 
 (10,431)
Increase (decrease) in cash and restricted cash(2,963) (2,869) (138,343) 
 (144,175)
Cash and restricted cash, beginning of year10,048
 30,380
 686,856
 
 727,284
Cash and restricted cash, end of period$7,085
 $27,511
 $548,513
 $
 $583,109

  Nine Months Ended September 30, 2018
Condensed Consolidating Statement
of Cash Flows
Arch Capital (Parent Guarantor) Arch-U.S. (Subsidiary Issuer) Other Arch Capital Subsidiaries Consolidating Adjustments and Eliminations Arch Capital Consolidated
Operating Activities         
 Net Cash Provided By (Used For) Operating Activities$222,097
 $176,851
 $1,622,248
 $(900,209) $1,120,987
Investing Activities         
Purchases of fixed maturity investments
 (214,449) (25,229,184) 605,716
 (24,837,917)
Purchases of equity securities
 
 (819,342) 
 (819,342)
Purchases of other investments
 
 (1,543,332) 
 (1,543,332)
Proceeds from the sales of fixed maturity investments
 111,533
 23,804,386
 (605,716) 23,310,203
Proceeds from the sales of equity securities
 
 866,919
 
 866,919
Proceeds from the sales, redemptions and maturities of other investments
 
 1,178,035
 
 1,178,035
Proceeds from redemptions and maturities of fixed maturity investments
 
 724,021
 
 724,021
Net settlements of derivative instruments
 
 765
 
 765
Net (purchases) sales of short-term investments96,397
 (49,031) 506,949
 
 554,315
Change in cash collateral related to securities lending
 
 137,073
 
 137,073
Contributions to subsidiaries
 (2,500) (29,646) 32,146
 
Purchases of fixed assets(71) 
 (18,979) 
 (19,050)
Other(4) 
 58,231
 
 58,227
 Net Cash Provided By (Used For) Investing Activities96,322
 (154,447) (364,104) 32,146
 (390,083)
Financing Activities         
Redemption of preferred shares(92,555) 
 
 
 (92,555)
Purchases of common shares under share repurchase program(184,529) 
 
 
 (184,529)
Proceeds from common shares issued, net(12,029) 
 32,146
 (32,146) (12,029)
Proceeds from borrowings
 
 167,259
 
 167,259
Repayments of borrowings
 
 (427,000) 
 (427,000)
Change in cash collateral related to securities lending
 
 (137,073) 
 (137,073)
Dividends paid to redeemable noncontrolling interests
 
 (14,447) 956
 (13,491)
Dividends paid to parent (1)
 
 (899,253) 899,253
 
Other
 
 (6,084) 
 (6,084)
Preferred dividends paid(31,242) 
 
 
 (31,242)
 Net Cash Provided By (Used For) Financing Activities(320,355) 
 (1,284,452) 868,063
 (736,744)
Effects of exchange rates changes on foreign currency cash and restricted cash
 
 (11,625) 
 (11,625)
Increase (decrease) in cash and restricted cash(1,936) 22,404
 (37,933) 
 (17,465)
Cash and restricted cash, beginning of year10,048
 30,380
 686,856
 
 727,284
Cash and restricted cash, end of period$8,112
 $52,784
 $648,923
 $
 $709,819

(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 8.4%8.5% for the sixnine months ended JuneSeptember 30, 2019, compared to an expense of 9.7%10.5% for the 2018 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 2019 by treating excess tax benefits in the U.S. 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 sixnine months results before the discrete item. The impact of the discrete item resulted in a benefit of 0.4% for the sixnine months ended JuneSeptember 30, 2019.
The Company had a net deferred tax liability of $49.5$55.9 million at JuneSeptember 30, 2019, compared to a net deferred tax asset of $22.5 million at December 31, 2018. The change is primarily a result of the appreciation of the Company’s fixed maturities from December 31, 2018 to JuneSeptember 30, 2019. In addition, the Company paid $43.5$47.1 million and recovered $46.5$34.0 million of income taxes for the sixnine months ended JuneSeptember 30, 2019 and 2018, 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 JuneSeptember 30, 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 Events


Bellemeade Re 2019-32019-4 Ltd.
In JulyOctober 2019, the Company’s first-lien U.S. mortgage insurance subsidiaries entered into an aggregate excess of loss reinsurance agreement with Bellemeade Re 2019-32019-4 Ltd. (“Bellemeade 2019-3”2019-4”), a special purpose reinsurance company domiciled in Bermuda. The Bellemeade 2019-32019-4 agreement provides for up to $700.9$577.3 million of aggregate excess of loss reinsurance coverage at inception in excess of $232.1$162.4 million of aggregate losses for new delinquencies on a portfolio of in-force policies issued in 2016.the first half of 2019. The coverage
amount decreases over a ten-year period as the underlying covered mortgages amortize.
Bellemeade 2019-32019-4 financed the coverage through the issuance of mortgage insurance-linked notes in an aggregate amount of
approximately $700.9$577.3 million to unrelated investors (the “Notes”). The maturity date of the Notes is JulyOctober 25, 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 2019-32019-4 from the sale of the Notes were deposited into a reinsurance trust as security for Bellemeade 2019-3’s2019-4’s obligations. At all times, funds in the reinsurance trust account are required to be invested in high credit quality money market funds.
Watford Re Capital TransactionsCatastrophic Events
In the 2019 fourth quarter, Typhoon Hagibis, the ongoing wildfires in California and other catastrophic events may have an impact on the Company’s financial results. It is too early to reasonably estimate losses for these events given the significant uncertainties and the early stage of the damage assessment process, among other factors.
Share Repurchases
At September 30, 2019, approximately $160.9 million of share repurchases were available under Arch Capital’s share repurchase program. From October 1 through October 31, 2019, the Company did not repurchase any common shares. On July 2,November 8, 2019, Watford Holdings Ltd. completed an offeringthe board of $175.0 milliondirectors of ACGL increased the aggregate purchase amount authorized under the share repurchase program to $1.0 billion. Repurchases under this authorization may be effected from time to time in aggregate principal amount of its 6.5% senior notes, due July 2, 2029 (“Watford Senior Notes”). Interest on such notes will be paid semi-annually in arrears on each January 2open market or privately negotiated transactions through December 31, 2021. The timing and July 2, commencing January 2, 2020. The $172.4 million net proceeds from the offering were used to redeem a portion of Watford Holdings Ltd.’s outstanding preference shares.
On August 1, 2019, Watford Holdings Ltd. redeemed 6,919,998 of its 9,065,200 total issued and outstanding Watford Preference Shares. The Watford Preference Shares were redeemed at a total redemption price of $25.19748 per share, inclusive of all declared and unpaid dividends, with accumulation of any undeclared dividends on or after June 30, 2019.
The Company purchased $35.0 million in aggregate principal amount of the Watford Senior Notes. In addition, the Company received $11.5 million pursuant to the redemptionrepurchase transactions under this authorization will depend on a variety of Watford Preference Shares.factors, including market conditions and corporate and regulatory considerations.
Business Acquisition
On July 30, 2019, the Company announced that it has entered into an agreement to purchase Barbican Group Holdings Limited from funds managed by Carlson Capital, a U.S. based alternative asset management firm. The acquisition includes Barbican Managing Agency Limited, Lloyd’s Syndicate 1955, Lloyd’s Syndicate 1856, Lloyd’s Special Purpose Arrangement 6132, Castel Underwriting Agencies Limited and other associated entities. The transaction is subject to regulatory approval and is expected to close in the late third or early fourth quarter of 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, 2018 (“2018 Form 10-K”). In addition, readers should review “Risk Factors” set forth in Item 1A of Part I of our 2018 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, “Arch”, “we” or “us”) is a Bermuda public limited liability company with approximately $12.49$12.89 billion in capital at JuneSeptember 30, 2019 and, through operations in Bermuda, the United States, Europe, Canada, Australia and Australia,Hong Kong, 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.
Market conditionsAcross all lines in our property casualty segments continued to improveinsurance business, renewal rates experienced a modest increase as net premiums grew in the 2019 second quarter, with upward rate movementthird quarter. Reinsurance pricing tends to follow that of the primary insurance industry although catastrophe and large attritional losses, such as the Japanese typhoons this year, in the reinsurance market can disproportionately affect results and create opportunities. We believe that property facultative and select casualty lines, and we selectively increased our writings. marine businesses are examples of improving markets.

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 by utilizing reinsurance purchases to reduce volatility on large account, high capacity business. We believe that the improvement in the markets reflects broader economic growth, particularly in the U.S. Across the property and casualty industry, we have seen several market opportunities where we have increased our capital deployment, notably in the London markets and excess and surplus lines in the U.S. However, theThe spread between rate changes and loss trend continues to be a key variable in assessing expected returns and can be difficult to quantify precisely, particularly in specialty lines. Writings in net property catastrophe-exposed business continued to remain low in the 2019 second quarter.
 
Our mortgage segment continues to experience generally favorable market conditions. Although pricing remains competitive in the U.S., borrower credit quality and 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, including the mortgage credit risk transfer programs initiated by government sponsored enterprises, or “GSEs,” in 2018. Such programs have continued to generate business. In addition, we completed three Bellemeade risk transfers in March, April, July and JulyOctober 2019, increasing our protection for mortgage 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 $25.61 at September 30, 2019, compared to $24.64 at June 30, 2019 compared to $23.12and $21.15 at March 31, 2019 and $20.68 at JuneSeptember 30, 2018. The 6.6%3.9% increase for the 2019 secondthird quarter reflected strong underwriting results and the impact of a decrease in interest rates on our fixed income securities while the 19.2%21.1% increase over the trailing twelve months reflected strong underwriting results and investment returns.
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 available to Arch common shareholders, a non-GAAP financial

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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, equity in net income or loss of investment funds accounted for using the equity method, net foreign exchange gains or losses, 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 13.1%10.3% for the 2019 secondthird quarter, compared to 11.6%11.4% for the 2018 secondthird quarter, and 12.7%12.0% for the sixnine months ended JuneSeptember 30, 2019, compared to 11.4% for the 2018 period. The 2019 and 2018 returns reflected favorable 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
Pre-tax total return (before investment expenses):   
2019 Second Quarter2.37 % 2.17 %
2018 Second Quarter(0.19)% (0.21)%
    
Six Months Ended June 30, 20195.14 % 5.05 %
Six Months Ended June 30, 2018(0.51)% (0.89)%
 
Arch
Portfolio
 
Benchmark
Return
Pre-tax total return (before investment expenses):   
2019 Third Quarter1.00 % 0.70 %
2018 Third Quarter0.31 % 0.36 %
    
Nine Months Ended September 30, 20196.20 % 5.79 %
Nine Months Ended September 30, 2018(0.19)% (0.46)%
Total return for the 2019 periods reflected the impact of a decline in interest rates, which increased the total return on 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 JuneSeptember 30, 2019, the benchmark return index had an average credit quality of “Aa3” by Moody’s Investors Service (“Moody’s”), and an estimated duration of 3.062.97 years.
The benchmark return index included weightings to the following indices:
 %
ICE BoAML 1-10 Year AAA - A U.S. Corporate Index21.00%
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%
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, 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

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of after-tax operating income available to Arch common shareholders and annualized operating return on average common equity are non-GAAP financial measures as defined in Regulation G. The reconciliation of such measures to net income available to Arch common shareholders and annualized return on average common equity (the most directly comparable GAAP financial measures) in accordance with Regulation G is included under “Results of Operations” below. 
We believe that net realized gains or losses, net impairment losses recognized in earnings, equity in net income or loss of investment funds accounted for using the equity method, net foreign exchange gains or losses, 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. Transaction costs and other include advisory, financing, legal, severance, incentive compensation and other transaction costs related to acquisitions. We believe that 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, 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 4, “Segment Information,” of the notes accompanying our consolidated financial statements, they are considered non-GAAP financial measures when presented elsewhere on a consolidated basis. The reconciliations of underwriting income or loss to income before income taxes (the most directly comparable GAAP financial measure) on a consolidated basis and a subtotal before the contribution from the ‘other’ segment, in accordance with Regulation G, is shown in 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. The ‘other’ segment includes the

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

Our presentation of segment information includes the use of a current year loss ratio which excludes favorable or adverse development in prior year loss reserves. This ratio is a non-GAAP financial measure as defined in Regulation G. The reconciliation of such measure to the loss ratio (the most directly comparable GAAP financial measure) in accordance with Regulation G is shown on the individual segment pages. Management utilizes the current year loss ratio in its analysis of the underwriting performance of each of our underwriting segments.
Total return on investments includes investment income, equity in net income or loss of investment 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’sWatford’s common equity.
Three Months Ended Six Months EndedThree Months Ended Nine Months Ended
June 30, June 30,September 30, September 30,
2019 2018 2019 20182019 2018 2019 2018
Net income available to Arch common shareholders$458,551
 $233,243
 $896,676
 $370,519
$382,050
 $217,006
 $1,278,726
 $587,525
Net realized (gains) losses(124,637) 61,426
 (240,281) 173,190
(79,122) 47,528
 (319,403) 220,718
Net impairment losses recognized in earnings49
 470
 1,358
 632
1,163
 492
 2,521
 1,124
Equity in net (income) loss of investment funds accounted for using the equity method(32,536) (8,472) (79,403) (36,541)(17,130) (15,982) (96,533) (52,523)
Net foreign exchange (gains) losses6,054
 (47,038) 1,060
 (31,482)(30,160) (7,539) (29,100) (39,021)
Transaction costs and other2,178
 6,908
 3,368
 7,738
1,995
 1,091
 5,363
 8,829
Loss on redemption of preferred shares
 
 
 2,710

 
 
 2,710
Income tax expense (benefit) (1)7,774
 (3,941) 10,552
 (9,027)2,156
 (316) 12,708
 (9,343)
After-tax operating income available to Arch common shareholders$317,433
 $242,596
 $593,330
 $477,739
$260,952
 $242,280
 $854,282
 $720,019
              
Beginning common shareholders’ equity$9,334,596
 $8,370,372
 $8,659,827
 $8,324,047
$9,977,352
 $8,383,755
 $8,659,827
 $8,324,047
Ending common shareholders’ equity9,977,352
 8,383,755
 9,977,352
 8,383,755
10,378,096
 8,575,148
 10,378,096
 8,575,148
Average common shareholders’ equity$9,655,974
 $8,377,064
 $9,318,590
 $8,353,901
$10,177,724
 $8,479,452
 $9,518,962
 $8,449,598
              
Annualized return on average common equity %19.0
 11.1
 19.2
 8.9
15.0
 10.2
 17.9
 9.3
Annualized operating return on average
common equity %
13.1
 11.6
 12.7
 11.4
10.3
 11.4
 12.0
 11.4
(1)Income tax expense (benefit) 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, 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.
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 tables set forth our insurance segment’s underwriting results:
Three Months Ended June 30,Three Months Ended September 30,
2019 2018 % Change2019 2018 % Change
Gross premiums written$919,925
 $769,372
 19.6
$1,005,874
 $836,820
 20.2
Premiums ceded(292,095) (245,265)  (302,034) (259,968)  
Net premiums written627,830
 524,107
 19.8
703,840
 576,852
 22.0
Change in unearned premiums(35,388) 22,342
  (98,504) (15,794)  
Net premiums earned592,442
 546,449
 8.4
605,336
 561,058
 7.9
Losses and loss adjustment expenses(389,172) (357,465)  
(422,782) (409,435)  
Acquisition expenses(91,094) (90,670)  
(91,259) (88,255)  
Other operating expenses(109,523) (92,680)  
(115,408) (90,081)  
Underwriting income$2,653
 $5,634
 (52.9)
Underwriting income (loss)$(24,113) $(26,713)  n/m
          
Underwriting Ratios 
  
 % Point
Change
 
  
 % Point
Change
Loss ratio65.7% 65.4% 0.3
69.8% 73.0% (3.2)
Acquisition expense ratio15.4% 16.6% (1.2)15.1% 15.7% (0.6)
Other operating expense ratio18.5% 17.0% 1.5
19.1% 16.1% 3.0
Combined ratio99.6% 99.0% 0.6
104.0% 104.8% (0.8)
 
Six Months Ended June 30,Nine Months Ended September 30,
2019 2018 % Change2019 2018 % Change
Gross premiums written$1,861,879
 $1,592,750
 16.9
$2,867,753
 $2,429,570
 18.0
Premiums ceded(612,717) (492,445)  (914,751) (752,413)  
Net premiums written1,249,162
 1,100,305
 13.5
1,953,002
 1,677,157
 16.4
Change in unearned premiums(103,215) (15,119)  (201,719) (30,913)  
Net premiums earned1,145,947
 1,085,186
 5.6
1,751,283
 1,646,244
 6.4
Losses and loss adjustment expenses(745,895) (711,195)  
(1,168,677) (1,120,630)  
Acquisition expenses(173,918) (175,839)  
(265,177) (264,094)  
Other operating expenses(222,919) (184,654)  
(338,327) (274,735)  
Underwriting income (loss)$3,215
 $13,498
 (76.2)$(20,898) $(13,215)  n/m
          
Underwriting Ratios 
  
 % Point
Change
 
  
 % Point
Change
Loss ratio65.1% 65.5% (0.4)66.7% 68.1% (1.4)
Acquisition expense ratio15.2% 16.2% (1.0)15.1% 16.0% (0.9)
Other operating expense ratio19.5% 17.0% 2.5
19.3% 16.7% 2.6
Combined ratio99.8% 98.7% 1.1
101.1% 100.8% 0.3
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

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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.
Premiums Written.
The following tables set forth our insurance segment’s net premiums written by major line of business:
Three Months Ended June 30,Three Months Ended September 30,
2019 20182019 2018
Amount % Amount %Amount % Amount %
Professional Lines$121,679
 19.4
 $108,298
 20.7
$137,569
 19.5
 $113,100
 19.6
Programs108,671
 17.3
 100,178
 19.1
120,039
 17.1
 103,928
 18.0
Property, energy, marine and aviation103,819
 16.5
 62,121
 11.9
97,966
 13.9
 60,909
 10.6
Construction and national accounts98,522
 14.0
 71,888
 12.5
Travel, accident and health76,537
 12.2
 63,222
 12.1
75,192
 10.7
 79,450
 13.8
Construction and national accounts60,888
 9.7
 66,384
 12.7
Excess and surplus casualty58,466
 9.3
 40,042
 7.6
62,843
 8.9
 44,829
 7.8
Lenders products22,373
 3.6
 22,290
 4.3
31,005
 4.4
 25,995
 4.5
Other75,397
 12.0
 61,572
 11.7
80,704
 11.5
 76,753
 13.3
Total$627,830
 100.0
 $524,107
 100.0
$703,840
 100.0
 $576,852
 100.0
2019 SecondThird Quarter versus 2018 SecondThird Quarter. Gross premiums written by the insurance segment in the 2019 secondthird quarter were 19.6%20.2% higher than in the 2018 secondthird quarter, while net premiums written were 19.8%22.0% higher. Approximately one thirdthirty percent of the growth in net premiums written resulted from our acquisition of renewal rights of a U.K. commercial lines book of business on January 1, 2019. The remainder was due to growth in existing accounts and rate increases across most lines of business.
 
Six Months Ended June 30,Nine Months Ended September 30,
2019 20182019 2018
Amount % Amount %Amount % Amount %
Professional Lines$250,913
 20.1
 $228,087
 20.7
$388,482
 19.9
 $341,187
 20.3
Programs209,843
 16.8
 196,734
 17.9
329,882
 16.9
 300,662
 17.9
Property, energy, marine and aviation174,305
 14.0
 114,248
 10.4
272,271
 13.9
 175,157
 10.4
Construction and national accounts254,765
 13.0
 236,700
 14.1
Travel, accident and health164,641
 13.2
 143,746
 13.1
239,833
 12.3
 223,196
 13.3
Construction and national accounts156,243
 12.5
 164,812
 15.0
Excess and surplus casualty103,631
 8.3
 81,964
 7.4
166,474
 8.5
 126,793
 7.6
Lenders products44,788
 3.6
 44,274
 4.0
75,793
 3.9
 70,269
 4.2
Other144,798
 11.6
 126,440
 11.5
225,502
 11.5
 203,193
 12.1
Total$1,249,162
 100.0
 $1,100,305
 100.0
$1,953,002
 100.0
 $1,677,157
 100.0
SixNine Months Ended JuneSeptember 30, 2019 versus 2018 period. Gross premiums written by the insurance segment for the sixnine months ended JuneSeptember 30, 2019 were 16.9%18.0% higher than in the 2018 period, while net premiums written were 13.5%16.4% higher than in the 2018 period. Growth in net premiums written primarily resulted from our acquisition of renewal rights of a U.K. commercial lines book of business on January 1, 2019, with the remainder reflecting growth in existing accounts and rate increases across most lines of business. The percentage increase in gross premiums written is higher than the increase in net premiums written due to a single large national account, for which the premium written in the quarter was substantially ceded.
Net Premiums Earned.
The following tables set forth our insurance segment’s net premiums earned by major line of business:
 Three Months Ended June 30,
 2019 2018
 Amount % Amount %
Professional Lines$115,667
 19.5
 $112,226
 20.5
Programs102,687
 17.3
 97,333
 17.8
Property, energy, marine and aviation68,995
 11.6
 50,840
 9.3
Travel, accident and health83,636
 14.1
 74,754
 13.7
Construction and national accounts76,795
 13.0
 81,784
 15.0
Excess and surplus casualty47,858
 8.1
 40,049
 7.3
Lenders products23,570
 4.0
 23,161
 4.2
Other73,234
 12.4
 66,302
 12.1
Total$592,442
 100.0
 $546,449
 100.0
 Three Months Ended September 30,
 2019 2018
 Amount % Amount %
Professional Lines$135,343
 22.4
 $115,271
 20.5
Programs104,432
 17.3
 96,509
 17.2
Property, energy, marine and aviation80,246
 13.3
 53,857
 9.6
Construction and national accounts81,472
 13.5
 80,381
 14.3
Travel, accident and health81,952
 13.5
 81,405
 14.5
Excess and surplus casualty53,991
 8.9
 43,401
 7.7
Lenders products (1)(5,724) (0.9) 24,254
 4.3
Other73,624
 12.2
 65,980
 11.8
Total$605,336
 100.0
 $561,058
 100.0
(1)Reflects a change in earning patterns on certain business in the 2019 third quarter.

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Six Months Ended June 30,Nine Months Ended September 30,
2019 20182019 2018
Amount % Amount %Amount % Amount %
Professional Lines$230,458
 20.1
 $228,244
 21.0
$365,801
 20.9
 $343,515
 20.9
Programs200,173
 17.5
 192,344
 17.7
304,605
 17.4
 288,853
 17.5
Property, energy, marine and aviation128,633
 11.2
 99,443
 9.2
208,879
 11.9
 153,300
 9.3
Construction and national accounts234,198
 13.4
 239,377
 14.5
Travel, accident and health155,211
 13.5
 141,589
 13.0
237,163
 13.5
 222,994
 13.5
Construction and national accounts152,726
 13.3
 158,996
 14.7
Excess and surplus casualty90,227
 7.9
 86,593
 8.0
144,218
 8.2
 129,994
 7.9
Lenders products(1)46,802
 4.1
 45,977
 4.2
41,078
 2.3
 70,231
 4.3
Other141,717
 12.4
 132,000
 12.2
215,341
 12.3
 197,980
 12.0
Total$1,145,947
 100.0
 $1,085,186
 100.0
$1,751,283
 100.0
 $1,646,244
 100.0
(1)Reflects a change in earning patterns on certain business in the 2019 third quarter.
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 in the 2019 secondthird quarter were 8.4%7.9% higher than in the 2018 secondthird quarter. For the sixnine months ended JuneSeptember 30, 2019, net premiums earned were 5.6%6.4% higher than in the 2018 period. Net premiums earned reflect changes in net premiums written over the previous five quarters.
Losses and Loss Adjustment Expenses.
The table below shows the components of the insurance segment’s loss ratio:
Three Months Ended Six Months EndedThree Months Ended Nine Months Ended
June 30, June 30,September 30, September 30,
2019 2018 2019 20182019 2018 2019 2018
Current year66.1 % 66.5 % 65.7 % 66.3 %70.5 % 74.1 % 67.4 % 69.0 %
Prior period reserve development(0.4)% (1.1)% (0.6)% (0.8)%(0.7)% (1.1)% (0.7)% (0.9)%
Loss ratio65.7 % 65.4 % 65.1 % 65.5 %69.8 % 73.0 % 66.7 % 68.1 %
Current Year Loss Ratio.
The insurance segment’s current year loss ratio in the 2019 secondthird quarter was 0.43.6 points lower than in the 2018 secondthird quarter and reflected 0.44.3 points of current year catastrophic activity, primarily related to Hurricane Dorian, compared to 1.45.8 points in the 2018 second quarter.third quarter primarily related to Hurricane Florence. The insurance segment’s current year loss ratio for the sixnine months ended JuneSeptember 30, 2019 was 0.61.6 points lower than in the 2018 period and reflected 0.21.6 points of current year catastrophic activity, compared to 0.82.5 points in the 2018 period. The balance of the change in the 20182019 loss ratios resulted, in part, from changes in mix of business and the level of large attritional losses.
Prior Period Reserve Development.
The insurance segment’s net favorable development was $2.6$4.4 million, or 0.40.7 points, for the 2019 secondthird quarter, compared to $6.1$5.9 million, or 1.1 points, for the 2018 secondthird quarter, and
$7.0 $11.4 million, or 0.60.7 points, for the sixnine months ended JuneSeptember 30, 2019, compared to $8.2$14.1 million, or 0.80.9 points, for the 2018 period. The 2019 third quarter loss ratio reflected a lower level of large attritional losses than in the 2018 third quarter. See note 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.
2019 SecondThird Quarter versus 2018 SecondThird Quarter. The insurance segment’s underwriting expense ratio was 33.9%34.2% in the 2019 secondthird quarter, compared to 33.6%31.8% in the 2018 secondthird quarter. Operating expenses increased in the 2019 secondthird quarter due to our recent2019 acquisitions, as well as growth in headcount, primarily inwhich increased the areas of underwriting and technology.operating expense ratio. The resulting increase in the expense ratio was partially offset by the growth in net premiums earned.
SixNine Months Ended JuneSeptember 30, 2019 versus 2018 period. The insurance segment’s underwriting expense ratio was 34.7%34.4% for the sixnine months ended JuneSeptember 30, 2019, compared to 33.2%32.7% for the 2018 period. Operating expenses increased for the sixnine months ended JuneSeptember 30, 2019 due to the recent acquisitions by the Company, as well as growth in headcount, primarily in the areas of underwriting and technology. The resulting increase in the expense ratio was partially offset by the growth in net premiums earned.our 2019 acquisitions.
Reinsurance Segment 
The following tables set forth our reinsurance segment’s underwriting results:
Three Months Ended June 30,Three Months Ended September 30,
2019 2018 % Change2019 2018 % Change
Gross premiums written$545,547
 $490,327
 11.3
$662,572
 $435,396
 52.2
Premiums ceded(169,457) (136,247)  (226,096) (123,705)  
Net premiums written376,090
 354,080
 6.2
436,476
 311,691
 40.0
Change in unearned premiums(8,906) (13,762)  (72,621) (18,418)  
Net premiums earned367,184
 340,318
 7.9
363,855
 293,273
 24.1
Other underwriting income1,224
 (129)  
(1,208) 1,387
  
Losses and loss adjustment expenses(240,958) (229,956)  
(270,379) (183,413)  
Acquisition expenses(56,785) (50,142)  
(62,393) (50,367)  
Other operating expenses(33,960) (35,678)  
(32,533) (29,936)  
Underwriting income$36,705
 $24,413
 50.4
$(2,658) $30,944
 (108.6)
          
Underwriting Ratios    % Point
Change
    % Point
Change
Loss ratio65.6% 67.6% (2.0)74.3% 62.5% 11.8
Acquisition expense ratio15.5% 14.7% 0.8
17.1% 17.2% (0.1)
Other operating expense ratio9.2% 10.5% (1.3)8.9% 10.2% (1.3)
Combined ratio90.3% 92.8% (2.5)100.3% 89.9% 10.4

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Six Months Ended June 30,Nine Months Ended September 30,
2019 2018 % Change2019 2018 % Change
Gross premiums written$1,228,402
 $1,067,810
 15.0
$1,890,974
 $1,503,206
 25.8
Premiums ceded(401,024) (331,977)  (627,120) (455,682)  
Net premiums written827,378
 735,833
 12.4
1,263,854
 1,047,524
 20.7
Change in unearned premiums(113,829) (116,343)  (186,450) (134,761)  
Net premiums earned713,549
 619,490
 15.2
1,077,404
 912,763
 18.0
Other underwriting income5,601
 1,103
  
4,393
 2,490
  
Losses and loss adjustment expenses(480,768) (371,631)  
(751,147) (555,044)  
Acquisition expenses(111,111) (98,461)  
(173,504) (148,828)  
Other operating expenses(69,664) (71,249)  
(102,197) (101,185)  
Underwriting income (loss)$57,607
 $79,252
 (27.3)$54,949
 $110,196
 (50.1)
          
Underwriting Ratios    % Point
Change
    % Point
Change
Loss ratio67.4% 60.0% 7.4
69.7% 60.8% 8.9
Acquisition expense ratio15.6% 15.9% (0.3)16.1% 16.3% (0.2)
Other operating expense ratio9.8% 11.5% (1.7)9.5% 11.1% (1.6)
Combined ratio92.8% 87.4% 5.4
95.3% 88.2% 7.1
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 treaty basis and on a facultative 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 tables set forth our reinsurance segment’s net premiums written by major line of business:
Three Months Ended June 30,Three Months Ended September 30,
2019 20182019 2018
Amount % Amount %Amount % Amount %
Casualty$178,802
 41.0
 $98,788
 31.7
Other specialty$129,174
 34.3
 $155,081
 43.8
94,072
 21.6
 105,535
 33.9
Casualty78,025
 20.7
 68,113
 19.2
Property excluding property catastrophe96,050
 25.5
 77,876
 22.0
118,671
 27.2
 83,222
 26.7
Property catastrophe46,594
 12.4
 35,045
 9.9
23,597
 5.4
 9,053
 2.9
Marine and aviation15,619
 4.2
 10,061
 2.8
10,181
 2.3
 6,011
 1.9
Other10,628
 2.8
 7,904
 2.2
11,153
 2.6
 9,082
 2.9
Total$376,090
 100.0
 $354,080
 100.0
$436,476
 100.0
 $311,691
 100.0
2019 SecondThird Quarter versus 2018 SecondThird Quarter. Gross premiums written by the reinsurance segment in the 2019 secondthird quarter were 11.3%52.2% higher than in the 2018 secondthird quarter, while net premiums written were 6.2%40.0% higher. The increasegrowth in gross premiums written is primarily a result of growth in property business, with a significant amount being retroceded. The increase in net premiums written in the 2019 second quarter reflected growth from select new business opportunities across mostin casualty and property lines, of business. This was partially offset by a decline in other specialty business, primarily reflectingdriven by reductions in motor and agriculture business. The growth in net premiums written is less than the growth in gross premiums written because a reduction in U.K motorhigh proportion of the property business with one cedent in the period.is subject to retrocessions.
Six Months Ended June 30,Nine Months Ended September 30,
2019 20182019 2018
Amount % Amount %Amount % Amount %
Casualty$425,311
 33.7
 $297,077
 28.4
Other specialty$269,651
 32.6
 $294,073
 40.0
363,723
 28.8
 399,608
 38.1
Casualty246,509
 29.8
 198,289
 26.9
Property excluding property catastrophe198,790
 24.0
 163,046
 22.2
317,461
 25.1
 246,268
 23.5
Property catastrophe49,977
 6.0
 42,677
 5.8
73,574
 5.8
 51,730
 4.9
Marine and aviation31,577
 3.8
 20,073
 2.7
41,758
 3.3
 26,084
 2.5
Other30,874
 3.7
 17,675
 2.4
42,027
 3.3
 26,757
 2.6
Total$827,378
 100.0
 $735,833
 100.0
$1,263,854
 100.0
 $1,047,524
 100.0
SixNine Months Ended JuneSeptember 30, 2019 versus 2018 period. Gross premiums written by the reinsurance segment for the sixnine months ended JuneSeptember 30, 2019 were 15.0%25.8% higher than in the 2018 period, while net premiums written were 12.4%20.7% higher than in the 2018 period. The increasegrowth in net premiums written is less than the growth in gross premiums written is primarilybecause a high

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resultproportion of growth inthe property business with a significant amount being retroceded.is subject to retrocessions. The increase in net premiums written for the sixnine months ended JuneSeptember 30, 2019 reflected growth from select new business opportunities across most lines of business, partially offset by a decline in other specialty business, primarily reflecting a reduction in U.K motor business with one cedent in the period.business.
Net Premiums Earned.
The following tables set forth our reinsurance segment’s net premiums earned by major line of business:
Three Months Ended June 30,Three Months Ended September 30,
2019 20182019 2018
Amount % Amount %Amount % Amount %
Casualty$116,242
 31.9
 $77,496
 26.4
Other specialty$136,573
 37.2
 $149,648
 44.0
112,349
 30.9
 108,311
 36.9
Casualty103,164
 28.1
 85,009
 25.0
Property excluding property catastrophe85,479
 23.3
 70,849
 20.8
90,358
 24.8
 71,358
 24.3
Property catastrophe18,537
 5.0
 15,716
 4.6
22,617
 6.2
 18,190
 6.2
Marine and aviation12,498
 3.4
 10,089
 3.0
11,798
 3.2
 8,672
 3.0
Other10,933
 3.0
 9,007
 2.6
10,491
 2.9
 9,246
 3.2
Total$367,184
 100.0
 $340,318
 100.0
$363,855
 100.0
 $293,273
 100.0
Six Months Ended June 30,Nine Months Ended September 30,
2019 20182019 2018
Amount % Amount %Amount % Amount %
Casualty$311,030
 28.9
 $231,877
 25.4
Other specialty$258,094
 36.2
 $253,365
 40.9
370,443
 34.4
 361,676
 39.6
Casualty194,788
 27.3
 154,381
 24.9
Property excluding property catastrophe169,271
 23.7
 139,603
 22.5
259,629
 24.1
 210,961
 23.1
Property catastrophe37,269
 5.2
 34,103
 5.5
59,886
 5.6
 52,293
 5.7
Marine and aviation23,557
 3.3
 19,478
 3.1
35,355
 3.3
 28,150
 3.1
Other30,570
 4.3
 18,560
 3.0
41,061
 3.8
 27,806
 3.0
Total$713,549
 100.0
 $619,490
 100.0
$1,077,404
 100.0
 $912,763
 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 2019 secondthird quarter, net premiums earned were 7.9%24.1% higher than in the 2018 secondthird quarter. For the sixnine months ended JuneSeptember 30, 2019, net premiums earned were 15.2%18.0% higher than in the 2018 period.
Other Underwriting Income (Loss).
Other underwriting income (loss) for the 2019 secondthird quarter was a loss of $1.2 million, compared to $(0.1)an income of $1.4 million for the 2018 secondthird quarter, and $5.6an income of $4.4 million for the sixnine months ended JuneSeptember 30, 2019, compared to $1.1$2.5 million of income for the 2018 period.
 
Losses and Loss Adjustment Expenses.
The table below shows the components of the reinsurance segment’s loss ratio:
Three Months Ended Six Months EndedThree Months Ended Nine Months Ended
June 30, June 30,September 30, September 30,
2019 2018 2019 20182019 2018 2019 2018
Current year69.1 % 77.3 % 68.9 % 71.2 %78.5 % 74.2 % 72.1 % 72.2 %
Prior period reserve development(3.5)% (9.7)% (1.5)% (11.2)%(4.2)% (11.7)% (2.4)% (11.4)%
Loss ratio65.6 % 67.6 % 67.4 % 60.0 %74.3 % 62.5 % 69.7 % 60.8 %
Current Year Loss Ratio.
The reinsurance segment’s current year loss ratio in the 2019 secondthird quarter was 8.24.3 points lowerhigher than in the 2018 secondthird quarter and reflected 1.312.2 points of current year catastrophic activity, primarily related to Hurricane Dorian and Typhoon Faxai compared to 2.29.5 points in the 2018 second quarter. Thethird quarter, primarily related to Hurricane Florence and Typhoon Jebi.The reinsurance segment’s current year loss ratio for the sixnine months ended JuneSeptember 30, 2019 was 2.30.1 points lower than in the 2018 period and reflected 1.75.3 points of current year catastrophic activity, compared to 1.44.0 points in the 2018 period. In addition,The balance of the current year loss ratio forchange in the 2019 periods reflected a lowerloss ratios resulted, in part, from changes in mix of business and the level of large attritional loss activity than in the 2018 periods.losses.
Prior Period Reserve Development.
The reinsurance segment’s net favorable development was $12.7$15.3 million, or 3.54.2 points, for the 2019 secondthird quarter, compared to $33.0$34.3 million, or 9.711.7 points, for the 2018 secondthird quarter, and $11.0$26.3 million, or 1.52.4 points, for the sixnine months ended JuneSeptember 30, 2019, compared to $69.6$103.9 million, or 11.211.4 points, for the 2018 period. See note 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.
2019 SecondThird Quarter versus 2018 SecondThird Quarter. The underwriting expense ratio for the reinsurance segment was 24.7%26.0% in the 2019 secondthird quarter, compared to 25.2%27.4% in the 2018 secondthird quarter, reflecting growth in net premiums earned and changes in mix of business.
SixNine Months Ended JuneSeptember 30, 2019 versus 2018 period. The underwriting expense ratio for the reinsurance segment was 25.4%25.6% for the sixnine months ended JuneSeptember 30, 2019, compared to 27.4% for the 2018 period.
Mortgage Segment 
Our mortgage operations include U.S. and international mortgage insurance and reinsurance operations as well as participation in GSE credit risk-sharing transactions. Our mortgage group includes direct mortgage insurance in the U.S.

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participation in GSE credit risk-sharing transactions. Our mortgage group includes direct mortgage insurance in the U.S. primarily through Arch Mortgage Insurance Company and United Guaranty Residential Insurance Company (together, “Arch MI U.S.”), mortgage reinsurance by Arch Reinsurance Ltd. (“Arch Re Bermuda”) to mortgage insurers on both a proportional and non-proportional basis globally; direct mortgage insurance in Europe through Arch Insurance (EU) Designated Activity Company (“Arch MI Europe”) and in Hong Kong through Arch MI Asia Limited (“Arch MI Asia”); and participation in various GSE credit risk-sharing products primarily through Arch Re Bermuda.
The following tables set forth our mortgage segment’s underwriting results.
Three Months Ended June 30,Three Months Ended September 30,
2019 2018 % Change2019 2018 % Change
Gross premiums written$364,465
 $330,990
 10.1
$375,092
 $350,559
 7.0
Premiums ceded(42,857) (50,867)  (57,703) (57,226)  
Net premiums written321,608
 280,123
 14.8
317,389
 293,333
 8.2
Change in unearned premiums31,175
 10,355
  25,611
 7,591
  
Net premiums earned352,783
 290,478
 21.4
343,000
 300,924
 14.0
Other underwriting income4,056
 3,315
  
3,955
 3,733
  
Losses and loss adjustment expenses(25,997) (21,591)  
(13,080) (9,615)  
Acquisition expenses(32,654) (27,737)  
(34,396) (33,361)  
Other operating expenses(39,819) (38,729)  
(37,003) (31,122)  
Underwriting income$258,369
 $205,736
 25.6
$262,476
 $230,559
 13.8
          
Underwriting Ratios 
  
 % Point
Change
 
  
 % Point
Change
Loss ratio7.4% 7.4% 
3.8% 3.2% 0.6
Acquisition expense ratio9.3% 9.5% (0.2)10.0% 11.1% (1.1)
Other operating expense ratio11.3% 13.3% (2.0)10.8% 10.3% 0.5
Combined ratio28.0% 30.2% (2.2)24.6% 24.6% 
Six Months Ended June 30,Nine Months Ended September 30,
2019 2018 % Change2019 2018 % Change
Gross premiums written$720,515
 $652,168
 10.5
$1,095,607
 $1,002,727
 9.3
Premiums ceded(91,655) (97,004)  (149,358) (154,230)  
Net premiums written628,860
 555,164
 13.3
946,249
 848,497
 11.5
Change in unearned premiums46,825
 15,556
  72,436
 23,147
  
Net premiums earned675,685
 570,720
 18.4
1,018,685
 871,644
 16.9
Other underwriting income7,912
 6,731
  
11,867
 10,464
  
Losses and loss adjustment expenses(37,146) (65,057)  
(50,226) (74,672)  
Acquisition expenses(64,326) (54,304)  
(98,722) (87,665)  
Other operating expenses(79,694) (77,500)  
(116,697) (108,622)  
Underwriting income$502,431
 $380,590
 32.0
$764,907
 $611,149
 25.2
          
Underwriting Ratios 
  
 % Point
Change
 
  
 % Point
Change
Loss ratio5.5% 11.4% (5.9)4.9% 8.6% (3.7)
Acquisition expense ratio9.5% 9.5% 
9.7% 10.1% (0.4)
Other operating expense ratio11.8% 13.6% (1.8)11.5% 12.5% (1.0)
Combined ratio26.8% 34.5% (7.7)26.1% 31.2% (5.1)
 
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 June 30,Three Months Ended September 30,
2019 20182019 2018
Amount % Amount %Amount % Amount %
Underwriting location:              
United States$258,774
 80.5
 $229,715
 82.0
$260,202
 82.0
 $240,959
 82.1
Other62,834
 19.5
 50,408
 18.0
57,187
 18.0
 52,374
 17.9
Total$321,608
 100.0
 $280,123
 100.0
$317,389
 100.0
 $293,333
 100.0
2019 SecondThird Quarter versus 2018 SecondThird Quarter. Gross premiums written by the mortgage segment in the 2019 secondthird quarter were 10.1%7.0% higher than in the 2018 secondthird quarter, while net premiums written were 14.8%8.2% higher. The growth in net premiums written primarily reflected an increase in monthly premium business due to growth in insurance in force partially offset by higher ceded premiums related to Bellemeade transactions. In addition, net premiums written forin the 2019 second quarter included $17.1 million due to the novation of a quota share reinsurance arrangement on international business.U.S.
Six Months Ended June 30,Nine Months Ended September 30,
2019 20182019 2018
Amount % Amount %Amount % Amount %
Underwriting location:              
United States$514,154
 81.8
 $450,892
 81.2
$774,356
 81.8
 $691,851
 81.5
Other114,706
 18.2
 104,272
 18.8
171,893
 18.2
 156,646
 18.5
Total$628,860
 100.0
 $555,164
 100.0
$946,249
 100.0
 $848,497
 100.0
SixNine Months Ended JuneSeptember 30, 2019 versus 2018 period. Gross premiums written by the mortgage segment for the sixnine months ended JuneSeptember 30, 2019 were 10.5%9.3% higher than in the 2018 period, while net premiums written were 13.3%11.5% higher. The growth in net premiums written primarily reflected an increase in monthly premium business due to growth in insurance in force partially offset by higher ceded premiums related to Bellemeade transactions.in the U.S. In addition, net premiums written for the sixnine months ended JuneSeptember 30, 2019 included $17.1 million due to the novation of a quota share reinsurance arrangement on international 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 80.9%78.6% at JuneSeptember 30, 2019, compared to 81.5% at December 31, 2018.

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Arch MI U.S. generated $17.2$25.3 billion of new insurance written (“NIW”) in the 2019 secondthird quarter, compared to $19.9$21.4 billion in the 2018 secondthird quarter. NIW represents the original principal balance of all loans that received coverage during the period. Monthly premium policies contributed 92.9%92.3% of NIW in the 2019 secondthird quarter, compared to 94.3%92.6% for the 2018 secondthird quarter.

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The following tables provide details on the NIW generated by Arch MI U.S.:
(U.S. Dollars in millions)Three Months Ended June 30,Three Months Ended September 30,
2019 20182019 2018
Amount % Amount %Amount % Amount %
Total new insurance written (NIW) (1)$17,161
   $19,944
  $25,313
   $21,425
  
              
Credit quality (FICO):              
>=740$9,862
 57.5
 $11,308
 56.7
$15,204
 60.1
 $12,013
 56.1
680-7396,139
 35.8
 7,182
 36.0
8,725
 34.5
 7,728
 36.1
620-6791,160
 6.8
 1,454
 7.3
1,384
 5.5
 1,684
 7.9
Total$17,161
 100.0
 $19,944
 100.0
$25,313
 100.0
 $21,425
 100.0
              
Loan-to-value (LTV):              
95.01% and above$2,530
 14.7
 $2,835
 14.2
$3,182
 12.6
 $3,231
 15.1
90.01% to 95.00%7,497
 43.7
 9,205
 46.2
10,409
 41.1
 9,689
 45.2
85.01% to 90.00%5,026
 29.3
 5,910
 29.6
7,762
 30.7
 6,264
 29.2
85.01% and below2,108
 12.3
 1,994
 10.0
3,960
 15.6
 2,241
 10.5
Total$17,161
 100.0
 $19,944
 100.0
$25,313
 100.0
 $21,425
 100.0
              
Monthly vs. single:              
Monthly$15,935
 92.9
 $18,814
 94.3
$23,358
 92.3
 $19,842
 92.6
Single1,226
 7.1
 1,130
 5.7
1,955
 7.7
 1,583
 7.4
Total$17,161
 100.0
 $19,944
 100.0
$25,313
 100.0
 $21,425
 100.0
              
Purchase vs. refinance:              
Purchase$14,992
 87.4
 $18,871
 94.6
$19,068
 75.3
 $20,397
 95.2
Refinance2,169
 12.6
 1,073
 5.4
6,245
 24.7
 1,028
 4.8
Total$17,161
 100.0
 $19,944
 100.0
$25,313
 100.0
 $21,425
 100.0
(1)Represents the original principal balance of all loans that received coverage during the period.
(U.S. Dollars in millions)Nine Months Ended September 30,
2019 2018
 Amount % Amount %
Total new insurance written (NIW) (1)$53,681
   $52,742
  
        
Credit quality (FICO):       
>=740$31,416
 58.5
 $29,933
 56.8
680-73918,905
 35.2
 18,952
 35.9
620-6793,360
 6.3
 3,857
 7.3
Total$53,681
 100.0
 $52,742
 100.0
        
Loan-to-value (LTV):       
95.01% and above$7,520
 14.0
 $7,328
 13.9
90.01% to 95.00%22,881
 42.6
 24,030
 45.6
85.01% to 90.00%15,937
 29.7
 15,817
 30.0
85.01% and below7,343
 13.7
 5,567
 10.6
Total$53,681
 100.0
 $52,742
 100.0
        
Monthly vs. single:       
Monthly$49,556
 92.3
 $49,046
 93.0
Single4,125
 7.7
 3,696
 7.0
Total$53,681
 100.0
 $52,742
 100.0
        
Purchase vs. refinance:       
Purchase$44,349
 82.6
 $49,556
 94.0
Refinance9,332
 17.4
 3,186
 6.0
Total$53,681
 100.0
 $52,742
 100.0
(1)Represents the original principal balance of all loans that received coverage during the period.
 
(U.S. Dollars in millions)Six Months Ended June 30,
2019 2018
 Amount % Amount %
Total new insurance written (NIW) (1)$28,368
   $31,317
  
        
Credit quality (FICO):       
>=740$16,212
 57.1
 $17,920
 57.2
680-73910,180
 35.9
 11,224
 35.8
620-6791,976
 7.0
 2,173
 6.9
Total$28,368
 100.0
 $31,317
 100.0
        
Loan-to-value (LTV):       
95.01% and above$4,338
 15.3
 $4,097
 13.1
90.01% to 95.00%12,472
 44.0
 14,341
 45.8
85.01% to 90.00%8,175
 28.8
 9,553
 30.5
85.01% and below3,383
 11.9
 3,326
 10.6
Total$28,368
 100.0
 $31,317
 100.0
        
Monthly vs. single:       
Monthly$26,198
 92.4
 $29,204
 93.3
Single2,170
 7.6
 2,113
 6.7
Total$28,368
 100.0
 $31,317
 100.0
        
Purchase vs. refinance:       
Purchase$25,281
 89.1
 $29,159
 93.1
Refinance3,087
 10.9
 2,158
 6.9
Total$28,368
 100.0
 $31,317
 100.0
(1)Represents the original principal balance of all loans that received coverage during the period.
Net Premiums Earned.
The following tables set forth our mortgage segment’s net premiums earned by underwriting location:
Three Months Ended June 30,Three Months Ended September 30,
2019 20182019 2018
Amount % Amount %Amount % Amount %
Underwriting location:              
United States$282,062
 80.0
 $247,897
 85.3
$287,064
 83.7
 $256,231
 85.1
Other70,721
 20.0
 42,581
 14.7
55,936
 16.3
 44,693
 14.9
Total$352,783
 100.0
 $290,478
 100.0
$343,000
 100.0
 $300,924
 100.0
Six Months Ended June 30,Nine Months Ended September 30,
2019 20182019 2018
Amount % Amount %Amount % Amount %
Underwriting location:              
United States$556,535
 82.4
 $486,038
 85.2
$843,599
 82.8
 $742,269
 85.2
Other119,150
 17.6
 84,682
 14.8
175,086
 17.2
 129,375
 14.8
Total$675,685
 100.0
 $570,720
 100.0
$1,018,685
 100.0
 $871,644
 100.0
Net premiums earned for the 2019 secondthird quarter were 21.4%14.0% higher than in the 2018 secondthird quarter. For the sixnine months ended JuneSeptember 30, 2019, net premiums earned were 18.4%16.9% higher than in the 2018 period. The increases were primarily due to growth in U.S. insurance in force.

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Other Underwriting Income.
Other underwriting income, which is primarily related to older GSE credit risk-sharing transactions receiving derivative accounting treatment, was $4.1$4.0 million for the 2019 secondthird quarter, compared to $3.3$3.7 million for the 2018 secondthird quarter. and $7.9$11.9 million for the sixnine months ended JuneSeptember 30, 2019, compared to $6.7$10.5 million for the 2018 period.
Losses and Loss Adjustment Expenses.
The table below shows the components of the mortgage segment’s loss ratio:
Three Months Ended Six Months EndedThree Months Ended Nine Months Ended
June 30, June 30,September 30, September 30,
2019 2018 2019 20182019 2018 2019 2018
Current year13.9 % 15.4 % 14.3 % 17.8 %13.4 % 16.0 % 14.0 % 17.2 %
Prior period reserve development(6.5)% (8.0)% (8.8)% (6.4)%(9.6)% (12.8)% (9.1)% (8.6)%
Loss ratio7.4 % 7.4 % 5.5 % 11.4 %3.8 % 3.2 % 4.9 % 8.6 %
Current Year Loss Ratio.
The mortgage segment’s current year loss ratio was 1.52.6 points lower in the 2019 secondthird quarter than in the 2018 secondthird quarter. The mortgage segment’s current year loss ratio was 3.53.2 points lower for the sixnine months ended JuneSeptember 30, 2019 than for the 2018 period. The lower current year loss ratios for the 2019

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periods reflect the current favorable macroeconomic environment.
Prior Period Reserve Development.
The mortgage segment’s net favorable development was $22.8$33.0 million, or 6.59.6 points, for the 2019 secondthird quarter, compared to $23.3$38.6 million, or 8.012.8 points, for the 2018 secondthird quarter, and $59.4$92.5 million, or 8.89.1 points, for the sixnine months ended JuneSeptember 30, 2019, compared to $36.3$74.9 million, or 6.48.6 points, for the 2018 period. See note 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.
2019 SecondThird Quarter versus 2018 SecondThird Quarter. The underwriting expense ratio for the mortgage segment was 20.6%20.8% in the 2019 secondthird quarter, compared to 22.8%21.4% in the 2018 secondthird quarter. The lower ratio in the 2019 secondthird quarter primarily resulted from the higher level of net premiums earned.
SixNine Months Ended JuneSeptember 30, 2019 versus 2018 period. The underwriting expense ratio for the mortgage segment was 21.3%21.2% for the sixnine months ended JuneSeptember 30, 2019, compared to 23.1%22.6% for the 2018 period. The lower underwriting expense
ratio in the 2019 period primarily resulted from the higher level of net premiums earned.
Corporate (Non-Underwriting) Segment
The corporate (non-underwriting) segment results include net investment income, other income (loss), corporate expenses, transaction costs and other, amortization of intangible assets, interest expense, items related to our non-cumulative preferred shares, net realized gains or losses, net impairment losses included in earnings, equity in net income or loss of investment 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.
Net Investment Income.
The components of net investment income were derived from the following sources:
Three Months Ended Six Months EndedThree Months Ended Nine Months Ended
June 30, June 30,September 30, September 30,
2019 2018 2019 20182019 2018 2019 2018
Fixed maturities$111,335
 $98,968
 $221,986
 $191,406
$109,955
 $103,252
 $331,941
 $294,658
Equity securities3,494
 4,232
 5,740
 6,982
3,581
 3,426
 9,321
 10,408
Short-term investments3,448
 4,225
 7,746
 8,174
3,432
 4,417
 11,178
 12,591
Other (1)20,115
 19,242
 43,059
 38,471
24,170
 18,030
 67,229
 56,501
Gross investment income138,392
 126,667
 278,531
 245,033
141,138
 129,125
 419,669
 374,158
Investment expenses (2)(15,354) (18,906) (34,244) (37,029)(14,262) (14,797) (48,506) (51,826)
Net investment income$123,038
 $107,761
 $244,287
 208,004
$126,876
 $114,328
 $371,163
 322,332
(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%0.31% of average invested assets for the 2019 secondthird quarter, compared to 0.40%0.29% for the 2018 secondthird quarter, and 0.35%0.33% for the sixnine months ended JuneSeptember 30, 2019, compared to 0.37%0.36% for the 2018 period.
The higher level of net investment income for the 2019 periods primarily reflected growth in investedaverage investable assets, the reinvestment of fixed income securities at slightly higher available yields and the shift from municipal bonds to corporates. The pre-tax investment income yield, calculated based on amortized cost and on an annualized basis, was 2.58% for the 2019 third quarter, compare to 2.45% for the 2018 third quarter, and 2.62% for the 2019 second quarter, compare to 2.32% for the 2018 second quarter, and 2.64% for the sixnine months ended JuneSeptember 30, 2019, compared to 2.23%2.31% for the 2018 period.
Corporate Expenses.
Corporate expenses were $16.1$15.1 million for the 2019 secondthird quarter, compared to $15.6$13.2 million for the 2018 secondthird quarter, and $32.8$47.9 million for the sixnine months ended JuneSeptember 30, 2019, compared to $30.1$43.3 million for the 2018 period. The increase in corporate expenses in the 2019 periods primarily reflected higher incentive compensation costs.
Transaction Costs and Other.
Transaction costs and other were $2.0 million for the 2019 third quarter, compared to $1.1 million for the 2018 third quarter, and $5.4 million for the nine months ended September 30, 2019, compared to $8.8 million for the 2018 period. Amounts in the 2019 period primarily related to recent acquisition activity. Amounts for 2018 periods were primarily attributable to the write off of intangible assets related to insurance licenses for a subsidiary of UGC which was merged into another subsidiary.

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Transaction Costs and Other.
Transaction costs and other were $2.2 million for the 2019 second quarter, compared to $6.9 million for the 2018 second quarter, and $3.4 million for the six months ended June 30, 2019, compared to $7.7 million for the 2018 period. Amounts in 2019 primarily related to recent acquisition activity while the 2018 activity primarily related to severance and related costs.
Amortization of Intangible Assets.
Amortization of intangible assets for the 2019 secondthird quarter was $19.8$20.0 million, compared to $26.5$26.3 million for the 2018 secondthird quarter, and $40.2$60.2 million for the sixnine months ended JuneSeptember 30, 2019, compared to $53.2$79.5 million for the 2018 period. Such expenses primarily related to the UGC acquisition, while the 2019 periods also included amortization related to the previously announced acquisitions of (i) renewal rights of a U.K. commercial lines book of business on January 1, 2019; and (ii) McNeil &Co.& 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 $23.4$23.2 million for the 2019 secondthird quarter, compared to the $26.1$24.7 million for the 2018 secondthird quarter, and $46.9$70.1 million for the sixnine months ended JuneSeptember 30, 2019, compared to $52.0$76.6 million for the 2018 period. The lower level in the 2019 periods reflected the paydown of revolving credit agreement borrowings in the 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 $125.1$81.2 million for the 2019 secondthird quarter, compared to net realized losses of $59.5$47.0 million for the 2018 secondthird quarter, and net realized gains of $237.5$318.7 million for the sixnine months ended JuneSeptember 30, 2019, compared to net realized losses of $171.4$218.4 million for the 2018 period. 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 accounted for using the fair value option and in the fair value of equities, 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 minimal$1.2 million of impairment losses for the 2019 secondthird quarter, compared to $0.5 million for the 2018 secondthird quarter, and $1.4$2.5 million for the sixnine months ended JuneSeptember 30, 2019, compared to $0.6$1.1 million for the 2018 period. See note 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 $32.5$17.1 million of equity in net income related to investment funds accounted for using the equity method in the 2019 secondthird quarter, compared to $8.5$16.0 million of income for the 2018 secondthird quarter, and $79.4$96.5 million of income for the sixnine months ended JuneSeptember 30, 2019, compared to $36.5$52.5 million for the 2018 period. Investment funds accounted for using the equity method totaled $1.58 billion at JuneSeptember 30, 2019, compared to $1.49 billion at December 31, 2018. See note 6, “Investment Information—Investments Accounted For Using the Equity Method,” to our consolidated financial statements for additional information.
Net Foreign Exchange Gains or Losses.
Net foreign exchange lossesgains for the 2019 secondthird quarter were $6.2$29.8 million, compared to net foreign exchange gains for the 2018 secondthird quarter of $46.2$7.1 million. Net foreign exchange lossesgains for the sixnine months ended JuneSeptember 30, 2019 were $1.0$28.8 million, compared to net foreign exchange gains for the 2018 period of $31.2$38.3 million. Amounts in both 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 8.7%8.9% for the 2019 secondthird quarter and 9.0% for the sixnine months ended JuneSeptember 30, 2019, compared to 8.9%12.9% for the 2018 secondthird quarter and 10.4%11.3% for the sixnine months ended JuneSeptember 30, 2018 . The effective tax rates for the 2019 secondthird quarter and sixnine months ended JuneSeptember 30, 2019 included a discrete income tax benefit of $2.5$1.3 million and $4.3$5.6 million, respectively, related to share 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.
Other Segment
The ‘other’ segment includes the results of Watford. Pursuant to generally accepted accounting principles, Watford is considered a variable interest entity and we concluded that we are the primary beneficiary of Watford. As such, we consolidate

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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’sWatford’s common equity. See note 11, “Variable Interest Entities and Noncontrolling Interests,” and note 4, “Segment Information,” to our consolidated financial statements for additional information on Watford Re.Watford.
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 2018 Form 10-K, updated where applicable in the notes accompanying our consolidated financial statements, including note 1, “Basis of Presentation and Recent Accounting Pronouncements.”
FINANCIAL CONDITION

Investable Assets 
At JuneSeptember 30, 2019, total investable assets held by Arch were $20.78$21.57 billion, excluding the $2.77$2.73 billion included in the ‘other’ segment (i.e., attributable to Watford Re)Watford).
 
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
June 30, 2019   
September 30, 2019   
Fixed maturities (2)$15,959,794
 76.8
$16,586,794
 76.9
Short-term investments (2)847,250
 4.1
785,358
 3.6
Cash536,339
 2.6
799,709
 3.7
Equity securities (2)666,900
 3.2
559,054
 2.6
Other investments (2)1,327,134
 6.4
1,369,554
 6.4
Investments accounted for using the equity method1,581,972
 7.6
1,575,832
 7.3
Securities transactions entered into but not settled at the balance sheet date(142,726) (0.7)(110,213) (0.5)
Total investable assets held by Arch$20,776,663
 100.0
$21,566,088
 100.0
      
Average effective duration (in years)3.52
  3.64
  
Average S&P/Moody’s credit ratings (3)AA/Aa2
  AA/Aa2
  
Embedded book yield (4)2.87%  2.70%  
      
December 31, 2018      
Fixed maturities (2)$14,881,902
 76.1
$14,881,902
 76.1
Short-term investments (2)995,926
 5.1
995,926
 5.1
Cash583,027
 3.0
583,027
 3.0
Equity securities (2)368,843
 1.9
368,843
 1.9
Other investments (2)1,261,525
 6.4
1,261,525
 6.4
Investments accounted for using the equity method1,493,791
 7.6
1,493,791
 7.6
Securities transactions entered into but not settled at the balance sheet date(18,153) (0.1)(18,153) (0.1)
Total investable assets held by Arch$19,566,861
 100.0
$19,566,861
 100.0
      
Average effective duration (in years)3.38
  3.38
  
Average S&P/Moody’s credit ratings (3)AA/Aa2
  AA/Aa2
  
Embedded book yield (4)2.89%  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 JuneSeptember 30, 2019, approximately $14.96$15.40 billion, or 72.0%71.4%, of total investable assets held by Arch were internally managed, compared to $14.08 billion, or 72.0%, at December 31, 2018.

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The following table summarizes our fixed maturities and fixed maturities pledged under securities lending agreements (“Fixed Maturities”) by type:
Estimated
Fair Value
 
% of
Total
Estimated
Fair Value
 
% of
Total
June 30, 2019 
  
September 30, 2019 
  
Corporate bonds$6,281,897
 39.4
$6,494,654
 39.2
Mortgage backed securities513,760
 3.2
528,227
 3.2
Municipal bonds581,378
 3.6
652,296
 3.9
Commercial mortgage backed securities686,707
 4.3
754,306
 4.5
U.S. government and government agencies4,545,169
 28.5
4,830,839
 29.1
Non-U.S. government securities1,847,023
 11.6
1,800,032
 10.9
Asset backed securities1,503,860
 9.4
1,526,440
 9.2
Total$15,959,794
 100.0
$16,586,794
 100.0
      
December 31, 2018 
   
  
Corporate bonds$5,735,526
 38.5
$5,735,526
 38.5
Mortgage backed securities535,763
 3.6
535,763
 3.6
Municipal bonds1,012,308
 6.8
1,012,308
 6.8
Commercial mortgage backed securities729,442
 4.9
729,442
 4.9
U.S. government and government agencies3,601,269
 24.2
3,601,269
 24.2
Non-U.S. government securities1,713,891
 11.5
1,713,891
 11.5
Asset backed securities1,553,703
 10.4
1,553,703
 10.4
Total$14,881,902
 100.0
$14,881,902
 100.0
The following table provides the credit quality distribution of our Fixed Maturities. For individual fixed maturities, S&P ratings are used. In the absence of an S&P rating, ratings from Moody’s are used, followed by ratings from Fitch Ratings.
Estimated Fair Value 
% of
Total
Estimated Fair Value 
% of
Total
June 30, 2019   
September 30, 2019   
U.S. government and gov’t agencies (1)$5,030,769
 31.5
$5,403,271
 32.6
AAA3,325,260
 20.8
3,240,708
 19.5
AA1,831,265
 11.5
1,879,728
 11.3
A3,439,690
 21.6
3,648,581
 22.0
BBB1,465,219
 9.2
1,576,052
 9.5
BB361,389
 2.3
362,117
 2.2
B226,885
 1.4
210,824
 1.3
Lower than B60,858
 0.4
61,205
 0.4
Not rated218,459
 1.4
204,308
 1.2
Total$15,959,794
 100.0
$16,586,794
 100.0
      
December 31, 2018      
U.S. government and gov’t agencies (1)$4,194,676
 28.2
$4,194,676
 28.2
AAA3,551,039
 23.9
3,551,039
 23.9
AA2,129,336
 14.3
2,129,336
 14.3
A3,069,656
 20.6
3,069,656
 20.6
BBB1,251,205
 8.4
1,251,205
 8.4
BB275,201
 1.8
275,201
 1.8
B183,614
 1.2
183,614
 1.2
Lower than B61,271
 0.4
61,271
 0.4
Not rated165,904
 1.1
165,904
 1.1
Total$14,881,902
 100.0
$14,881,902
 100.0
(1)Includes U.S. government-sponsored agency residential mortgage-backed securities and agency commercial mortgage-backed securities.
 
The following table provides information on the severity of the unrealized loss position as a percentage of amortized cost for all Fixed Maturities which were in an unrealized loss position:
Severity of gross unrealized losses:Estimated Fair Value 
Gross
Unrealized
Losses
 
% of
Total Gross
Unrealized
Losses
Estimated Fair Value 
Gross
Unrealized
Losses
 
% of
Total Gross
Unrealized
Losses
June 30, 2019     
September 30, 2019     
0-10%$3,323,262
 $(51,874) 83.8
$4,084,228
 $(70,410) 82.6
10-20%54,735
 (9,486) 15.3
79,286
 (12,714) 14.9
20-30%1,496
 (460) 0.7
3,701
 (1,121) 1.3
Greater than 30%73
 (114) 0.2
1,480
 (999) 1.2
Total$3,379,566
 $(61,934) 100.0
$4,168,695
 $(85,244) 100.0
          
December 31, 2018          
0-10%$8,722,837
 $(190,170) 92.5
$8,722,837
 $(190,170) 92.5
10-20%87,188
 (13,012) 6.3
87,188
 (13,012) 6.3
20-30%3,359
 (1,058) 0.5
3,359
 (1,058) 0.5
Greater than 30%2,363
 (1,266) 0.6
2,363
 (1,266) 0.6
Total$8,815,747
 $(205,506) 100.0
$8,815,747
 $(205,506) 100.0
The following table summarizes our top ten exposures to fixed income corporate issuers by fair value at JuneSeptember 30, 2019, excluding guaranteed amounts and covered bonds:
Estimated Fair Value 
Credit
Rating (1)
Estimated Fair Value 
Credit
Rating (1)
Bank of America Corporation$234,672
 A-/A2$241,428
 A-/A2
Apple Inc.213,331
 AA+/Aa1
JPMorgan Chase & Co.228,144
 A-/A2209,254
 A-/A2
Wells Fargo & Company216,814
 A/A1201,534
 A-/A1
Citigroup Inc.207,673
 A/A1184,850
 A/A1
Apple Inc.144,498
 AA+/Aa1
Morgan Stanley117,638
 BBB+/A3141,891
 BBB+/A3
Nestle S.A.112,919
 AA-/Aa2
American Express Company112,584
 BBB+/A3
BP P.L.C.109,805
 A-/A1
Nestlé S.A.113,597
 AA-/Aa2
BP p.l.c.110,616
 A-/A1
The Goldman Sachs Group, Inc.108,946
 BBB+/A3109,147
 BBB+/A3
Deere & Company105,217
 A/A2
Total$1,593,693
 $1,630,865
 
(1)Average credit ratings as assigned by S&P and Moody’s, respectively.

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The following table provides information on our structured securities, which 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
Jun 30, 2019       
Sep 30, 2019       
RMBS$381,380
 $95,023
 $37,357
 $513,760
$478,427
 $15,437
 $34,363
 $528,227
CMBS104,220
 560,602
 21,885
 686,707
94,004
 636,384
 23,918
 754,306
ABS
 1,431,312
 72,548
 1,503,860

 1,458,377
 68,063
 1,526,440
Total$485,600
 $2,086,937
 $131,790
 $2,704,327
$572,431
 $2,110,198
 $126,344
 $2,808,973
              
Dec 31, 2018              
RMBS$488,862
 $15,410
 $31,491
 $535,763
$488,862
 $15,410
 $31,491
 $535,763
CMBS104,547
 602,865
 22,030
 729,442
104,547
 602,865
 22,030
 729,442
ABS
 1,485,150
 68,553
 1,553,703

 1,485,150
 68,553
 1,553,703
Total$593,409
 $2,103,425
 $122,074
 $2,818,908
$593,409
 $2,103,425
 $122,074
 $2,818,908
At JuneSeptember 30, 2019, our structured securities included $41.0$38.3 million par value in sub-prime securities with a fair value of $34.2$30.6 million and average credit quality ratings from S&P/Moody’s of “CCC-/Caa3,” compared to $38.2 million par value with a fair value of $31.7 million and average credit quality ratings of “CCC-/Caa3” at December 31, 2018.
At JuneSeptember 30, 2019, our investment portfolio included $666.9$559.1 million of equity securities, compared to $368.8 million at December 31, 2018. Our equity portfolio includes publicly traded common stocks in the natural resources, energy, consumer staples and other sectors and exchange-traded funds.
The following table summarizes our other investments which are included in investments accounted for using the fair value option, by strategy:
June 30,
2019
 December 31,
2018
September 30,
2019
 December 31,
2018
Lending$585,954
 $524,112
$624,699
 $524,112
Term loan investments$274,061
 $281,486
289,902
 281,486
Energy123,547
 117,509
113,791
 117,509
Credit related funds166,673
 152,510
165,444
 152,510
Investment grade fixed income86,808
 101,902
83,649
 101,902
Infrastructure49,260
 45,371
49,602
 45,371
Private equity23,925
 24,383
25,027
 24,383
Real estate16,906
 14,252
17,440
 14,252
Total$1,327,134
 $1,261,525
$1,369,554
 $1,261,525
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 investment positions or manage market exposures and duration
 
risk that would be allowed under our investment guidelines if implemented in other ways. See note 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 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.Watford. The board of directors of Watford Re establishes its investment policies and guidelines. Watford Re’sWatford’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:
June 30,
2019
 December 31,
2018
September 30,
2019
 December 31,
2018
Investments accounted for using the fair value option:      
Other investments$1,067,384
 $1,050,414
$1,070,566
 $1,050,414
Fixed maturities616,863
 922,819
563,214
 922,819
Short-term investments232,176
 282,131
357,611
 282,131
Equity securities56,524
 56,638
56,905
 56,638
Total1,972,947
 2,312,002
2,048,296
 2,312,002
Fixed maturities available for sale, at fair value697,453
 393,351
639,112
 393,351
Equity securities, at fair value64,703
 32,206
43,487
 32,206
Cash68,977
 63,529
80,390
 63,529
Securities sold but not yet purchased(48,823) (7,790)(65,736) (7,790)
Securities transactions entered into but not settled at the balance sheet date13,209
 (35,635)(15,302) (35,635)
Total investable assets included in ‘other’ segment$2,768,466
 $2,757,663
$2,730,247
 $2,757,663

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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 Ended Six Months EndedThree Months Ended Nine Months Ended
June 30, June 30,September 30, September 30,
2019 2018 2019 20182019 2018 2019 2018
Premiums written:              
Direct$1,373,825
 $1,158,772
 $2,737,331
 $2,359,134
$1,438,943
 $1,242,276
 $4,176,274
 $3,601,410
Assumed563,984
 537,772
 1,278,357
 1,175,624
742,178
 489,052
 2,020,535
 1,664,676
Ceded(492,911) (397,648) (1,045,531) (823,318)(567,664) (397,775) (1,613,195) (1,221,093)
Net$1,444,898
 $1,298,896
 $2,970,157
 $2,711,440
$1,613,457
 $1,333,553
 $4,583,614
 $4,044,993
              
Premiums earned:              
Direct$1,335,558
 $1,174,372
 $2,601,621
 $2,322,048
$1,375,384
 $1,223,445
 $3,977,005
 $3,545,493
Assumed574,899
 534,485
 1,108,178
 980,454
593,129
 466,361
 1,701,307
 1,446,815
Ceded(446,730) (372,094) (877,206) (730,840)(530,490) (398,928) (1,407,696) (1,129,768)
Net$1,463,727
 $1,336,763
 $2,832,593
 $2,571,662
$1,438,023
 $1,290,878
 $4,270,616
 $3,862,540
              
Losses and LAE:              
Direct$705,235
 $520,473
 $1,321,297
 $1,088,939
$741,871
 $718,921
 $2,063,168
 $1,807,860
Assumed388,237
 340,969
 726,637
 561,279
366,904
 198,248
 1,093,541
 759,527
Ceded(325,929) (135,289) (561,859) (287,205)(306,320) (217,749) (868,179) (504,954)
Net$767,543
 $726,153
 $1,486,075
 $1,363,013
$802,455
 $699,420
 $2,288,530
 $2,062,433
Reinsurance Recoverables
The following table summarizes our reinsurance recoverables on paid and unpaid losses (not including ceded unearned premiums) at JuneSeptember 30, 2019 and December 31, 2018:
June 30,
2019
 December 31,
2018
September 30,
2019
 December 31,
2018
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses$3,171,257
 $2,919,372
$3,168,195
 $2,919,372
% due from carriers with A.M. Best rating of “A-” or better58.7% 63.0%58.6% 63.0%
% due from unrated fully collateralized reinsurers (1)16.9% 12.9%15.5% 12.9%
% due from all other carriers with no A.M. Best rating (2)24.4% 24.1%25.9% 24.1%
Largest balance due from any one carrier as % of total shareholders’ equity1.9% 2.7%1.7% 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 2019 is primarily 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.
Bellemeade Re
We have 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, we 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. We 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 JuneSeptember 30, 2019:
Initial Coverage at Issuance Coverage at Jun. 30, 2019 First Layer RetentionInitial Coverage at Issuance Coverage at Sept. 30, 2019 First Layer Retention
Bellemeade 2015-1 Ltd. (1)$300,000
 $19,103
 $129,900
$300,000
 $6,046
 $129,900
Bellemeade 2017-1 Ltd. (2)368,100
 277,554
 165,700
368,100
 249,737
 165,700
Bellemeade 2018-1 Ltd. (3)374,460
 374,460
 168,510
374,460
 362,603
 168,510
Bellemeade 2018-2 Ltd. (4)653,278
 571,129
 352,258
653,278
 507,534
 352,258
Bellemeade 2018-3 Ltd. (5)506,110
 506,110
 179,331
506,110
 488,430
 179,331
Bellemeade 2019-1 Ltd. (6)341,790
 329,085
 208,046
341,790
 293,595
 208,046
Bellemeade 2019-2 Ltd. (7)621,022
 621,022
 221,794
621,022
 621,022
 221,794
Bellemeade 2019-3 Ltd. (8)700,920
 700,920
 232,093
(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 primarily issued between 2005-2008 under United Guaranty Residential Insurance Company (“UGRIC”); as well as policies issued through 2015 under both UGRIC and Arch Mortgage Insurance Company.
(7)Issued in April 2019, covering in-force policies issued between July 1, 2018 and December 31, 2018.
(8)Issued in July 2019, covering in-force policies issued in 2016.

In JulyOctober 2019, we entered into an aggregate excess of loss reinsurance agreement with Bellemeade Re 2019-32019-4 Ltd. Such agreement provides for up to $700.9$577.3 million of aggregate excess of loss reinsurance coverage at inception in excess of $232.1$162.4 million of aggregate losses for new delinquencies on a portfolio of in-force policies issued in 2016.the first half of 2019.

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Reserve for Losses and Loss Adjustment Expenses 
We establish reserve 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

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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 JuneSeptember 30, 2019 and December 31, 2018, our Loss Reserves, net of unpaid losses and loss adjustment expenses recoverable, by type and by operating segment were as follows:
June 30,
2019
 December 31,
2018
September 30,
2019
 December 31,
2018
Insurance segment: 
  
 
  
Case reserves$1,481,510
 $1,489,644
$1,506,217
 $1,489,644
IBNR reserves3,242,209
 3,266,796
3,297,090
 3,266,796
Total net reserves4,723,719
 4,756,440
4,803,307
 4,756,440
Reinsurance segment:      
Case reserves1,169,285
 1,082,917
1,178,486
 1,082,917
Additional case reserves172,932
 191,002
174,241
 191,002
IBNR reserves1,672,645
 1,578,907
1,730,100
 1,578,907
Total net reserves3,014,862
 2,852,826
3,082,827
 2,852,826
Mortgage segment:      
Case reserves302,426
 355,606
285,458
 355,606
IBNR reserves151,224
 122,304
155,432
 122,304
Total net reserves (1)453,650
 477,910
440,890
 477,910
Other segment:      
Case reserves431,960
 364,052
434,495
 364,052
Additional case reserves25,640
 36,512
24,495
 36,512
IBNR reserves555,688
 551,266
573,201
 551,266
Total net reserves1,013,288
 951,830
1,032,191
 951,830
Total: 
  
 
  
Case reserves3,385,181
 3,292,219
3,404,656
 3,292,219
Additional case reserves198,572
 227,514
198,736
 227,514
IBNR reserves5,621,766
 5,519,273
5,755,823
 5,519,273
Total net reserves$9,205,519
 $9,039,006
$9,359,215
 $9,039,006
(1)At JuneSeptember 30, 2019, total net reserves include $330.1$309.9 million from U.S. mortgage insurance business, of which 66.7%61.8% represents policy years 2009 and prior and the remainder from later policy years. At December 31, 2018, total net reserves include $375.8 million from U.S. mortgage insurance business, of which 73.4% represents policy years 2009 and prior and the remainder from later policy years.
 
At JuneSeptember 30, 2019 and December 31, 2018, the insurance segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:
June 30,
2019
 December 31,
2018
September 30,
2019
 December 31,
2018
Insurance segment:      
Professional lines (1)$1,255,253
 $1,247,914
$1,259,731
 $1,247,914
Construction and national accounts1,200,490
 1,166,143
1,223,245
 1,166,143
Excess and surplus casualty (2)508,926
 631,370
524,981
 631,370
Programs527,190
 482,045
548,552
 482,045
Property, energy, marine and aviation338,868
 388,710
343,652
 388,710
Travel, accident and health88,704
 83,836
99,564
 83,836
Lenders products49,447
 52,007
29,836
 52,007
Other (3)754,841
 704,415
773,746
 704,415
Total net reserves$4,723,719
 $4,756,440
$4,803,307
 $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.
At JuneSeptember 30, 2019 and December 31, 2018, the reinsurance segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:
June 30,
2019
 December 31,
2018
September 30,
2019
 December 31,
2018
Reinsurance segment:      
Casualty (1)$1,589,727
 $1,551,550
$1,630,159
 $1,551,550
Other specialty (2)662,535
 582,420
672,042
 582,420
Property excluding property catastrophe447,549
 422,612
459,768
 422,612
Marine and aviation131,644
 130,683
133,960
 130,683
Property catastrophe110,570
 90,635
105,952
 90,635
Other (3)72,837
 74,926
80,946
 74,926
Total net reserves$3,014,862
 $2,852,826
$3,082,827
 $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 life, casualty clash and other.

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Mortgage Operations Supplemental Information
The mortgage segment’s insurance in force (“IIF”) and risk in force (“RIF”) were as follows at JuneSeptember 30, 2019 and December 31, 2018:
(U.S. Dollars in millions)June 30, 2019 December 31, 2018September 30, 2019 December 31, 2018
Amount % Amount %Amount % Amount %
Insurance In Force (IIF) (1):              
U.S. primary mortgage insurance$279,297
 69.1
 $276,538
 72.1
$284,496
 69.7
 $276,538
 72.1
Mortgage reinsurance26,286
 6.5
 25,975
 6.8
25,440
 6.2
 25,975
 6.8
Other (2)98,335
 24.3
 81,147
 21.2
98,054
 24.0
 81,147
 21.2
Total$403,918
 100.0
 $383,660
 100.0
$407,990
 100.0
 $383,660
 100.0
              
Risk In Force (RIF) (3):              
U.S. primary mortgage insurance$71,760
 91.8
 $70,995
 92.3
$72,916
 92.0
 $70,995
 92.3
Mortgage reinsurance2,182
 2.8
 2,217
 2.9
2,086
 2.6
 2,217
 2.9
Other (2)4,260
 5.4
 3,728
 4.8
4,216
 5.3
 3,728
 4.8
Total$78,202
 100.0
 $76,940
 100.0
$79,218
 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 JuneSeptember 30, 2019:
(U.S. Dollars in millions)IIF RIF DelinquencyIIF RIF Delinquency
Amount % Amount % Rate (1)Amount % Amount % Rate (1)
Policy year:                  
2009 and prior$19,182
 6.9
 $4,397
 6.1
 8.23%$17,943
 6.3
 $4,156
 5.7
 8.48%
2010519
 0.2
 139
 0.2
 2.45%442
 0.2
 117
 0.2
 3.21%
20112,091
 0.7
 582
 0.8
 1.59%1,919
 0.7
 533
 0.7
 1.46%
20127,613
 2.7
 2,122
 3.0
 0.83%6,919
 2.4
 1,929
 2.6
 0.81%
201314,800
 5.3
 4,125
 5.7
 0.84%13,552
 4.8
 3,782
 5.2
 0.94%
201416,251
 5.8
 4,454
 6.2
 0.98%14,950
 5.3
 4,111
 5.6
 1.04%
201530,289
 10.8
 8,003
 11.2
 0.73%27,984
 9.8
 7,431
 10.2
 0.79%
201647,334
 16.9
 12,233
 17.0
 0.79%44,091
 15.5
 11,445
 15.7
 0.88%
201750,603
 18.1
 12,918
 18.0
 0.65%47,430
 16.7
 12,136
 16.6
 0.82%
201862,753
 22.5
 15,831
 22.1
 0.37%57,472
 20.2
 14,511
 19.9
 0.62%
201927,862
 10.0
 6,956
 9.7
 0.05%51,794
 18.2
 12,765
 17.5
 0.09%
Total$279,297
 100.0
 $71,760
 100.0
 1.45%$284,496
 100.0
 $72,916
 100.0
 1.48%
(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, 2018:
(U.S. Dollars in millions)IIF RIF Delinquency
Amount % Amount % Rate (1)
Policy year:         
2009 and prior$21,210
 7.7
 $4,900
 6.9
 8.90%
2010646
 0.2
 175
 0.2
 2.62%
20112,530
 0.9
 701
 1.0
 1.57%
20129,650
 3.5
 2,664
 3.8
 0.78%
201316,823
 6.1
 4,676
 6.6
 0.89%
201418,274
 6.6
 4,947
 7.0
 0.97%
201533,781
 12.2
 8,849
 12.5
 0.69%
201652,324
 18.9
 13,407
 18.9
 0.77%
201754,287
 19.6
 13,793
 19.4
 0.55%
201867,013
 24.2
 16,883
 23.8
 0.15%
Total$276,538
 100.0
 $70,995
 100.0
 1.60%
(1)Represents the ending percentage of loans in default.
The following tables provide supplemental disclosures on risk in force for our U.S. primary mortgage insurance business at JuneSeptember 30, 2019 and December 31, 2018:
(U.S. Dollars in millions)June 30, 2019 December 31, 2018September 30, 2019 December 31, 2018
Amount % Amount %Amount % Amount %
Credit quality (FICO):              
>=740$41,333
 57.6
 $41,066
 57.8
$41,975
 57.6
 $41,066
 57.8
680-73924,488
 34.1
 23,954
 33.7
25,013
 34.3
 23,954
 33.7
620-6795,494
 7.7
 5,485
 7.7
5,501
 7.5
 5,485
 7.7
<620445
 0.6
 490
 0.7
427
 0.6
 490
 0.7
Total$71,760
 100.0
 $70,995
 100.0
$72,916
 100.0
 $70,995
 100.0
Weighted average FICO score743
   743
  743
   743
  
              
Loan-to-value (LTV):              
95.01% and above$8,535
 11.9
 $7,918
 11.2
$8,948
 12.3
 $7,918
 11.2
90.01% to 95.00%39,777
 55.4
 39,370
 55.5
40,086
 55.0
 39,370
 55.5
85.01% to 90.00%20,419
 28.5
 20,643
 29.1
20,708
 28.4
 20,643
 29.1
85.00% and below3,029
 4.2
 3,064
 4.3
3,174
 4.4
 3,064
 4.3
Total$71,760
 100.0
 $70,995
 100.0
$72,916
 100.0
 $70,995
 100.0
Weighted average LTV93.1%   93.0%  93.1%   93.0%  
              
Total RIF, net of external reinsurance$56,562
   $55,755
  $57,768
   $55,755
  

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(U.S. Dollars in millions)June 30, 2019 December 31, 2018September 30, 2019 December 31, 2018
Amount % Amount %Amount % Amount %
Total RIF by State:              
Texas$5,509
 7.7
 $5,491
 7.7
$5,599
 7.7
 $5,491
 7.7
California4,736
 6.6
 4,505
 6.3
4,984
 6.8
 4,505
 6.3
Florida3,699
 5.2
 3,541
 5.0
3,821
 5.2
 3,541
 5.0
Virginia2,916
 4.1
 2,931
 4.1
2,907
 4.0
 2,931
 4.1
Georgia2,599
 3.6
 2,573
 3.6
2,667
 3.7
 2,573
 3.6
Illinois2,536
 3.5
 2,482
 3.5
2,602
 3.6
 2,482
 3.5
Minnesota2,480
 3.4
 2,400
 3.4
North Carolina2,462
 3.4
 2,505
 3.5
2,469
 3.4
 2,505
 3.5
Minnesota2,434
 3.4
 2,400
 3.4
Washington2,421
 3.4
 2,408
 3.4
2,466
 3.4
 2,408
 3.4
Maryland2,420
 3.4
 2,407
 3.4
2,443
 3.4
 2,407
 3.4
Others40,028
 55.8
 39,752
 56.0
40,478
 55.5
 39,752
 56.0
Total$71,760
 100.0
 $70,995
 100.0
$72,916
 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)Six Months EndedNine Months Ended
June 30,September 30,
2019 20182019 2018
Roll-forward of insured loans in default:      
Beginning delinquent number of loans20,665
 27,068
20,665
 27,068
New notices18,617
 17,792
28,728
 27,258
Cures(18,907) (21,865)(27,877) (31,111)
Paid claims(1,614) (1,958)(2,273) (2,854)
Ending delinquent number of loans (1)18,761
 21,037
19,243
 20,361
      
Ending number of policies in force (1)1,292,215
 1,239,565
1,304,263
 1,270,728
      
Delinquency rate (1)1.45% 1.70%1.48% 1.60%
      
Losses:      
Number of claims paid1,614
 1,958
2,273
 2,854
Total paid claims$65,519
 $83,534
$91,601
 $118,492
Average per claim$40.6
 $42.7
$40.3
 $41.5
Severity (2)97.0% 101.6%96.6% 102.0%
Average reserve per default (in thousands)$16.1
 $19.3
$14.7
 $18.1
(1)Includes first lien primary and pool policies.
(2)Represents total paid claims divided by RIF of loans for which claims were paid.
The risk-to-capital ratio, which represents total current (non-delinquent) risk in force, net of reinsurance, divided by total statutory capital, for Arch MI U.S. was approximately 11.412.9 to 1 at JuneSeptember 30, 2019, compared to 13.0 to 1 at December 31, 2018.
Shareholders’ Equity and Book Value per Share
Total shareholders’ equity available to Arch was $10.76$11.16 billion at JuneSeptember 30, 2019, compared to $9.44 billion at December 31, 2018. The increase reflected strong underwriting and investment returns.
 
The following table presents the calculation of book value per share:
(U.S. dollars in thousands, except
share data)
June 30,
2019
 December 31,
2018
September 30,
2019
 December 31,
2018
Total shareholders’ equity available to Arch$10,757,352
 $9,439,827
$11,158,096
 $9,439,827
Less preferred shareholders’ equity780,000
 780,000
780,000
 780,000
Common shareholders’ equity available to Arch$9,977,352
 $8,659,827
$10,378,096
 $8,659,827
Common shares and common share equivalents outstanding, net of treasury shares (1)404,887,534
 402,454,834
405,230,531
 402,454,834
Book value per share$24.64
 $21.52
$25.61
 $21.52
(1)Excludes the effects of 19,607,58819,170,417 and 20,076,593 stock options and 1,693,2031,609,195 and 1,307,304 restricted stock units outstanding at JuneSeptember 30, 2019 and December 31, 2018, respectively.
LIQUIDITY

This section does not include information specific to Watford Re.Watford. We do not guarantee or provide credit support for Watford, Re, and our financial exposure to Watford Re is limited to our investment in Watford Re’sWatford’s senior notes, common and preferred shares and counterparty credit risk (mitigated by collateral) arising from reinsurance transactions with Watford Re.Watford.
Liquidity is a measure of our ability to access sufficient cash flows to meet the short-term and long-term cash requirements of our business operations.

Arch Capital is a holding company whose assets primarily consist of the shares in its subsidiaries. Generally, Arch Capital depends on its available cash resources, liquid investments and dividends or other distributions from its subsidiaries to make payments, including the payment of debt service obligations and operating expenses it may incur and any dividends or liquidation amounts with respect to our preferred and common shares.
For the sixnine months ended JuneSeptember 30, 2019, Arch Capital received dividends of $67.1$86.4 million from Arch Re Bermuda, our Bermuda-based reinsurer and insurer, which can pay approximately $2.56$2.54 billion to Arch Capital during the remainder of 2019 without providing an affidavit to the Bermuda Monetary Authority (“BMA”). For the nine months ended September 30, 2019 Arch Capital Group (U.S.) Inc. (“Arch-U.S.”) received $465.0 million of dividends from Arch U.S. MI Holdings Inc., a subsidiary of Arch-U.S.
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.

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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)Watford). See note 11, “Variable Interest Entities and Noncontrolling Interests,” for cash flows related to Watford Re.Watford.
Six Months EndedNine Months Ended
June 30,September 30,
2019 20182019 2018
Total cash provided by (used for): 
  
 
  
Operating activities$597,276
 $404,451
$1,366,762
 $947,656
Investing activities(611,199) 270,381
(1,093,054) (181,774)
Financing activities(35,352) (731,613)(45,757) (713,511)
Effects of exchange rate changes on foreign currency cash2,259
 (9,024)(6,981) (9,867)
Increase (decrease) in cash and restricted cash$(47,016) $(65,805)$220,970
 $42,504
Cash provided by operating activities for the sixnine months ended JuneSeptember 30, 2019 reflected a higher level of premiums collected than in the 2018 period.
Cash used for investing activities for the sixnine months ended JuneSeptember 30, 2019 was higher than in the 2018 period, reflecting a higher level of securities purchased.
Cash used for financing activities for the sixnine months ended JuneSeptember 30, 2019 was lower than in the 2018 period. The 2018 period reflected $250.0 million of paydowns on our revolving credit agreement borrowings, $173.6$184.5 million of repurchases under our share repurchase program and $92.6 million related to redemption of our Series C preferred shares in January 2018.shares.
CAPITAL RESOURCES

This section does not include information specific to Watford Re.Watford. We do not guarantee or provide credit support for Watford, Re, and our financial exposure to Watford Re is limited to our investment in Watford Re’sWatford’s senior notes, common and preferred shares and counterparty credit risk (mitigated by collateral) arising from reinsurance transactions with Watford Re.Watford.
 
The following table provides an analysis of our capital structure:
(U.S. dollars in thousands, except
share data)
Jun 30,
2019
 Dec 31,
2018
Sep 30,
2019
 Dec 31,
2018
Debt:      
Senior notes, due May 2034$300,000
 $300,000
$300,000
 $300,000
Arch-U.S. senior notes, due Nov 2043 (1)500,000
 500,000
500,000
 500,000
Arch Finance senior notes, due Dec 2026 (1)500,000
 500,000
500,000
 500,000
Arch Finance senior notes, due Dec 2046 (1)450,000
 450,000
450,000
 450,000
Deferred debt costs on senior notes(16,135) (16,472)(15,963) (16,472)
Revolving credit agreement borrowings due Oct 2021 (2)
 

 
Total$1,733,865
 $1,733,528
$1,734,037
 $1,733,528
      
Shareholders’ equity available to Arch:      
Series E non-cumulative preferred shares$450,000
 $450,000
$450,000
 $450,000
Series F non-cumulative preferred shares330,000
 330,000
330,000
 330,000
Common shareholders’ equity9,977,352
 8,659,827
10,378,096
 8,659,827
Total$10,757,352
 $9,439,827
$11,158,096
 $9,439,827
      
Total capital available to Arch$12,491,217
 $11,173,355
$12,892,133
 $11,173,355
      
Debt to total capital (%)13.9
 15.5
13.5
 15.5
Preferred to total capital (%)6.2
 7.0
6.1
 7.0
Debt and preferred to total capital (%)20.1
 22.5
19.5
 22.5
(1)Fully and unconditionally guaranteed by Arch Capital.
(2)$500 million unsecured facility for revolving loans and letters of credit.
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. 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 JuneSeptember 30, 2019 with an estimated PMIER sufficiency ratio of 163%154%, compared to 141% at December 31, 2018.


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Pursuant to our 2014 acquisition of the CMG Mortgage Insurance Company and its affiliated mortgage insurance companies, we made a contingent consideration payment of $61.5 million in April 2019. The maximum amount of remaining contingent consideration payments over the remaining earn-out period is $6.7$6.6 million.
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 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 sixnine months ended JuneSeptember 30, 2019, Arch Capital repurchased 0.1 million shares under the share repurchase program with an aggregate purchase price of $2.9 million. Since the inception of the share repurchase program through JuneSeptember 30, 2019, Arch Capital has repurchased 386.3 million common shares for an aggregate purchase price of $3.97 billion. At JuneSeptember 30, 2019, approximately $160.9 million of share repurchases were available under the program. On November 8, 2019, the board of directors of ACGL increased the aggregate purchase amount authorized under the share repurchase program whichto $1.0 billion. Repurchases under this authorization may be effected from time to time in open market or privately negotiated transactions through December 31, 2019.
2021. The timing and amount of the repurchase transactions under this program will depend on a variety of factors, including market conditions and corporate and regulatory considerations. 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 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 JulyOctober 1, 2019, our modeled peak zone catastrophe exposure was a windstorm affecting the Northeastern U.S., with a net probable maximum pre-tax loss of $398$414 million, followed by windstorms affecting Florida Tri-County and the Gulf of Mexico regions with net probable maximum pre-tax losses of $368$398 million and $352$357 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 JulyOctober 1, 2019, our modeled peak zone earthquake exposure (San Francisco earthquake) represented approximately 69%70% 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.
Effective July 1, 2019, 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.
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.

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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).

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We reserve the right to change this threshold at any time. Based on in-force exposure estimated as of JulyOctober 1, 2019, our modeled RDS loss was approximatly10%approximately 9% 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 2018 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 2018 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 JuneSeptember 30, 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’sWatford’s senior notes, common and preferred shares and counterparty credit risk (mitigated by collateral) arising from reinsurance transactions.
An analysis of material changes in market risk exposures at JuneSeptember 30, 2019 that affect the quantitative and qualitative disclosures presented in our 2018 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.
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
Jun 30, 2019 
  
  
  
  
Sep 30, 2019 
  
  
  
  
Total fair value$20.24
 $19.91
 $19.57
 $19.22
 $18.89
$20.91
 $20.55
 $20.21
 $19.82
 $19.48
Change from base3.4% 1.7%   (1.8)% (3.5)%3.5% 1.7%   (1.9)% (3.6)%
Change in unrealized value$0.67
 $0.33
   $(0.35) $(0.69)$0.71
 $0.34
   $(0.38) $(0.73)
                  
Dec 31, 2018                  
Total fair value$19.23
 $18.91
 $18.62
 $18.30
 $17.98
$19.23
 $18.91
 $18.62
 $18.30
 $17.98
Change from base3.3% 1.6%   (1.7)% (3.4)%3.3% 1.6%   (1.7)% (3.4)%
Change in unrealized value$0.61
 $0.30
   $(0.32) $(0.63)$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

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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.

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The following table summarizes the effect that an immediate, parallel shift in credit spreads in a static interest rate environment would have had on 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
Jun 30, 2019 
  
  
  
  
Sep 30, 2019 
  
  
  
  
Total fair value$19.96
 $19.77
 $19.57
 $19.38
 $19.18
$20.59
 $20.41
 $20.21
 $20.01
 $19.82
Change from base2.0% 1.0%   (1.0)% (2.0)%1.9% 1.0%   (1.0)% (1.9)%
Change in unrealized value$0.39
 $0.20
   $(0.20) $(0.39)$0.38
 $0.20
   $(0.20) $(0.38)
                  
Dec 31, 2018                  
Total fair value$19.08
 $18.84
 $18.62
 $18.39
 $18.15
$19.08
 $18.84
 $18.62
 $18.39
 $18.15
Change from base2.5% 1.2%   (1.2)% (2.5)%2.5% 1.2%   (1.2)% (2.5)%
Change in unrealized value$0.47
 $0.22
   $(0.22) $(0.47)$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 JuneSeptember 30, 2019, our portfolio’s VaR was estimated to be 3.31%3.34% compared to an estimated 3.02% at December 31, 2018.
Equity Securities. At JuneSeptember 30, 2019 and December 31, 2018, the fair value of our investments in equity securities totaled $666.9$559.1 million and $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 $66.7$55.9 million and $36.9 million at JuneSeptember 30, 2019 and December 31, 2018, respectively, and would have decreased book value per share by approximately $0.16$0.14 and $0.09, respectively. An immediate hypothetical 10% increase in the value of each position would increase the fair value of such investments by approximately $66.7$55.9 million and $36.9 million at JuneSeptember 30, 2019 and December 31, 2018, respectively, and would have increased book value per share by approximately $0.16$0.14 and $0.09, respectively.
Investment-Related Derivatives. At JuneSeptember 30, 2019, the notional value of all derivative instruments (excluding to-be-announced mortgage backed securities which are included in the fixed income securities analysis above and foreign currency forward contracts which are included in the foreign currency exchange risk analysis below) was $7.85$7.53 billion, compared to $4.95
billion at December 31, 2018. If the underlying exposure of each investment-related derivative held at JuneSeptember 30, 2019 depreciated by 100 basis points, it would have resulted in a reduction in net income of approximately $78.5$75.3 million, and a decrease in book value per share of approximately $0.19 per share, compared to $49.5 million and $0.12 per share, respectively, on investment-related derivatives held at December 31, 2018. If the underlying exposure of each investment-related derivative held at JuneSeptember 30, 2019 appreciated by 100 basis points, it would have resulted in an increase in net income of approximately $78.5$75.3 million, and an increase in book value per share of approximately $0.19 per share, compared to $49.5 million and $0.12 per share, respectively, on investment-related derivatives held at December 31, 2018. See note 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 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 8, “Derivative Instruments,” to our consolidated financial statements for additional information.

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The following table provides a summary of our net foreign currency exchange exposures, as well as foreign currency derivatives in place to manage these exposures:
(U.S. dollars in thousands, except
per share data)
June 30,
2019
 December 31,
2018
September 30,
2019
 December 31,
2018
Net assets (liabilities), denominated in foreign currencies, excluding shareholders’ equity and derivatives$(326,838) $(561,311)$206,486
 $(561,311)
Shareholders’ equity denominated in foreign currencies (1)598,443
 478,678
542,970
 478,678
Net foreign currency forward contracts outstanding (2)181,655
 241,442
52,491
 241,442
Net exposures denominated in foreign currencies$453,260
 $158,809
$801,947
 $158,809
      
Pre-tax impact of a hypothetical 10% appreciation of the U.S. Dollar against foreign currencies: 
  
 
  
Shareholders’ equity$(45,326) $(15,881)$(80,195) $(15,881)
Book value per share$(0.11) $(0.04)$(0.20) $(0.04)
      
Pre-tax impact of a hypothetical 10% decline of the U.S. Dollar against foreign currencies: 
  
 
  
Shareholders’ equity$45,326
 $15,881
$80,195
 $15,881
Book value per share$0.11
 $0.04
$0.20
 $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 we generally attempt to match the currency of our projected liabilities with investments in the same currencies, from time to time we may elect to over or underweight one or more currencies, which could increase our exposure to foreign currency fluctuations and increase the volatility of our 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 reserve 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.
 
OTHER FINANCIAL INFORMATION

The consolidated financial statements as of JuneSeptember 30, 2019 and for the three month and sixnine month periods ended JuneSeptember 30, 2019 and 2018 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 Arch 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 JuneSeptember 30, 2019 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 JuneSeptember 30, 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, 2018.

ITEM 2. UNREGISTERED SALES OF EQUITY SECURITIES AND USE OF PROCEEDS
The following table summarizes our purchases of common shares for the 2019 secondthird 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)
4/1/2019 - 4/30/2019 17,802
 $32.62
 
 $160,867
5/1/2019 - 5/31/2019 333,431
 33.71
 
 $160,867
6/1/2019 - 6/30/2019 23,317
 35.42
 
 $160,867
Total 374,550
 $33.76
 
  
  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)
7/1/2019 - 7/31/2019 27,535
 $38.56
 
 $160,867
8/1/2019 - 8/31/2019 18,304
 39.17
 
 $160,867
9/1/2019 - 9/30/2019 22,686
 41.13
 
 $160,867
Total 68,525
 $39.57
 
  
(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 JuneSeptember 30, 2019 under Arch Capital’s share repurchase authorization, under which repurchases may be effected from time to time in open market or privately negotiated transactions. On November 8, 2019, the board of directors of ACGL increased the aggregate purchase amount authorized under the share repurchase program to $1.0 billion. Repurchases under this authorization may be effected from time to time in open market or privately negotiated transactions through December 31, 2019.2021.


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ITEM 3. DEFAULTS UPON SENIOR SECURITIES
None.

ITEM 4. MINE SAFETY DISCLOSURES
Not applicable.


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 2019 secondthird 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.
Certain of our non-U.S. subsidiaries underwrite 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, including Iran. For the quarter ended JuneSeptember 30, 2019, there has been no material amount of premium allocated or apportioned to activities relating to Iran, and we are unable to attribute gross revenues or net profits from any such policies because they insure multiple voyages and fleets containing multiple ships. Such non-U.S. subsidiaries will continue to provide such coverage only to the extent permitted by applicable law.

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ITEM 6. EXHIBITS
 
    Incorporated by Reference  
Exhibit Number Exhibit Description Form Original Number Date Filed Filed Herewith
15        X
31.1        X
31.2        X
32.1        X
32.2        X
101.INS XBRL Instance Document        
101.SCH XBRL Taxonomy Extension Schema Document        
101.CAL XBRL Taxonomy Extension Calculation Linkbase Document        
101.DEF XBRL Taxonomy Extension Definition Linkbase Document        
101.LAB XBRL Taxonomy Extension Label Linkbase Document        
101.PRE XBRL Taxonomy Extension Presentation Linkbase Document        

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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: August 7,November 8, 2019 Marc Grandisson
  President and Chief Executive Officer (Principal Executive Officer)
   
  /s/ François Morin
Date: August 7,November 8, 2019 François Morin
  Executive Vice President, Chief Financial Officer and Treasurer (Principal Financial and Accounting Officer)

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