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Published: 2021-04-27 00:00:00 ET
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EX-99.2 3 ex-992supplement33121.htm EX-99.2 Document

EXHIBIT 99.2
 
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Arch Capital Group Ltd.
Waterloo House, Ground Floor
100 Pitts Bay Road
Pembroke HM 08 Bermuda
 

Financial Supplement

Financial Information
as of March 31, 2021
 
The following financial supplement is provided to assist in your understanding of Arch Capital Group Ltd. (“Arch Capital”) and its subsidiaries (collectively, the “Company”).
 
This report is for informational purposes only.  It should be read in conjunction with documents filed by Arch Capital with the U.S. Securities and Exchange Commission, including the most recent Annual Report on Form 10-K and the Quarterly Reports on Form 10-Q.  Please refer to the Company’s website at www.archcapgroup.com for further information describing Arch Capital.


Contacts
Arch Capital Group Ltd.Investor Relations
François Morin: (441) 278-9250Donald Watson: (914) 872-3616; dwatson@archgroup.com



Arch Capital Group Ltd. and Subsidiaries
Table of Contents

  Page
   
I.Financial Highlights
  
II.Consolidated Financial Statements
 a.Consolidated Statements of Income
 b.Consolidated Balance Sheets
 c.Consolidated Statements of Changes in Shareholders’ Equity
 d.Consolidated Statements of Cash Flows
  
III.Segment Information
 a.Overview
 b.Consolidated Results
 c.Insurance Segment Results
 d.Reinsurance Segment Results
e.Mortgage Segment Results
f.Consolidated Results Excluding ‘Other’ Segment
g.Selected Information on Losses and Loss Adjustment Expenses
  
IV.Investment Information
 a.Investable Asset Summary and Investment Portfolio Metrics
b.Composition of Net Investment Income, Yield and Total Return
 c.Composition of Fixed Maturities
d.Credit Quality Distribution and Maturity Profile
e.Analysis of Corporate Exposures
 f.Structured Securities
  
V.Other
 a.Comments on Regulation G
 b.Operating Income Reconciliation and Annualized Operating Return on Average Common Equity
c.Operating Income and Effective Tax Rate Calculations
 d.Capital Structure and Share Repurchase Activity

1

Arch Capital Group Ltd. and Subsidiaries
Basis of Presentation

Basis of Presentation

All financial information contained herein is unaudited, however, certain information relating to the consolidated balance sheet at December 31, 2020 is derived from or agrees to audited financial information. During the 2021 first quarter, the Company changed its presentation of ‘income (loss) from operating affiliates’ on its consolidated statements of income for all periods presented to reclass such item from ‘other income (loss)’. The Company also changed its presentation of ‘investment in operating affiliates’ on its consolidated balance sheet for all periods presented to reclass such item from ‘other assets’. Unless otherwise noted, all data is in thousands, except for share and per share amounts and ratio information.

In March 2014, the Company invested $100.0 million to acquire common equity and a warrant to purchase additional common equity of Watford Holdings Ltd. In accordance with GAAP, the Company consolidates the results of Watford Holdings Ltd. (“Watford”) in its financial statements, although it only owns approximately 10% of Watford’s outstanding common equity at March 31, 2021. Watford is considered a variable interest entity and the Company concluded that it is the primary beneficiary of Watford. As such, 100% of the results of Watford are included in the Company’s consolidated financial statements. The portion of Watford’s earnings owned by third parties is recorded in the consolidated statements of income as ‘amounts attributable to noncontrolling interests.’ In addition, the Company reflects Watford’s redeemable preference shares in the mezzanine section of the Company’s consolidated balance sheets as ‘redeemable noncontrolling interests’ because they have redemption features that are not solely within the control of Watford.

Cautionary Note Regarding Forward-Looking Statements

The Private Securities Litigation Reform Act of 1995 provides a “safe harbor” for forward-looking statements. This release or any other written or oral statements made by or on behalf of Arch Capital and its subsidiaries may include forward-looking statements, which reflect the Company’s 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 release are forward-looking statements.
 
Forward-looking statements can generally be identified by the use of forward-looking terminology such as “may,” “will,” “expect,” “intend,” “estimate,” “anticipate,” “believe” or “continue” or their negative or variations or similar terminology. Forward-looking statements involve the Company’s current assessment of risks and uncertainties. Actual events and results may differ materially from those expressed or implied in these statements. A non-exclusive list of the important factors that could cause actual results to differ materially from those in such forward-looking statements includes the following: adverse general economic and market conditions; increased competition; pricing and policy term trends; fluctuations in the actions of rating agencies and the Company’s ability to maintain and improve the Company’s ratings; investment performance; the loss of key personnel; the adequacy of the Company’s loss reserves, severity and/or frequency of losses, greater than expected loss ratios and adverse development on claim and/or claim expense liabilities; greater frequency or severity of unpredictable natural and man-made catastrophic events; including pandemics such as COVID-19; the impact of acts of terrorism and acts of war; changes in regulations and/or tax laws in the United States or elsewhere; the Company’s ability to successfully integrate, establish and maintain operating procedures as well as integrate the businesses we have acquired or may acquire into the existing operations; changes in accounting principles or policies; material differences between actual and expected assessments for guaranty funds and mandatory pooling arrangements; availability and cost to the Company of reinsurance to manage gross and net exposures; the failure of others to meet their obligations to the Company; changes in the method for determining the London Inter-bank Offered Rate (“LIBOR”) and the potential replacement of LIBOR and other factors identified in the Company’s filings with the U.S. Securities and Exchange Commission.
 
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. All subsequent written and oral forward-looking statements attributable to the Company or persons acting on the Company’s behalf are expressly qualified in their entirety by these cautionary statements. The Company undertakes no obligation to publicly update or revise any forward-looking statement, whether as a result of new information, future events or otherwise.
2

Arch Capital Group Ltd. and Subsidiaries
Financial Highlights
The following table presents financial highlights (1):
(U.S. Dollars in thousands, except share data)Three Months Ended
March 31,
20212020Change
Underwriting results:
Gross premiums written$3,277,293 $2,698,537 21.4 %
Net premiums written2,329,146 1,950,546 19.4 %
Net premiums earned1,800,691 1,604,405 12.2 %
Underwriting income (loss) (2)198,997 160,060 24.3 %
Loss ratio60.2 %62.6 %(2.4)
Acquisition expense ratio15.3 %14.1 %1.2 
Other operating expense ratio13.7 %13.8 %(0.1)
Combined ratio89.2 %90.5 %(1.3)
Net investment income$78,729 $113,028 (30.3)%
Per diluted share$0.19 $0.27 (29.6)%
Net income available to Arch common shareholders$427,753 $133,714 219.9 %
Per diluted share$1.05 $0.32 228.1 %
After-tax operating income available to Arch common shareholders (2)$239,769 $189,756 26.4 %
Per diluted share$0.59 $0.46 28.3 %
Comprehensive income (loss) available to Arch$155,089 $(46,030)n/m
Net cash provided by operating activities$755,928 $585,956 29.0 %
Weighted average common shares and common share equivalents outstanding — diluted409,223,253 414,033,570 (1.2)%
Financial measures:   
Change in book value per common share during period0.8 %(1.2)%2.0 
Annualized return on average common equity13.9 %5.0 %8.9 
Annualized operating return on average common equity (2)7.8 %7.1 %0.7 
Total return on investments (3)(0.18)%(0.86)%68 bps
 
(1)Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Watford). See ‘Comments on Regulation G’ for a further discussion of the presentation of ‘core’ results.
(2)See ‘Comments on Regulation G’ for a further discussion of consolidated underwriting income or loss, after-tax operating income or loss available to Arch common shareholders and annualized operating return on average common equity.
(3)Total return on investments includes net investment income, equity in net income (loss) of investment funds accounted for using the equity method, net realized gains and losses and the change in unrealized gains and losses and is calculated on a pre-tax basis and before investment expenses. See ‘Comments on Regulation G’ for a further discussion of the presentation of total return on investments.
3

Arch Capital Group Ltd. and Subsidiaries
Consolidated Statements of Income
(U.S. Dollars in thousands, except share data)Three Months Ended
 March 31,December 31,September 30,June 30,March 31,
 20212020202020202020
Revenues     
Net premiums earned$1,948,422 $1,811,045 $1,771,092 $1,665,354 $1,744,444 
Net investment income98,856 114,458 128,512 131,485 145,153 
Net realized gains (losses)142,461 353,333 280,499 556,588 (366,960)
Other underwriting income6,110 7,852 5,413 6,667 6,852 
Equity in net income (loss) of investment funds accounted for using the equity method71,686 89,286 126,735 (65,119)(4,209)
Other income (loss)(1,741)(36)— 33 32 
Total revenues2,265,794 2,375,938 2,312,251 2,295,008 1,525,312 
Expenses
Losses and loss adjustment expenses(1,203,100)(1,127,385)(1,216,273)(1,230,522)(1,115,419)
Acquisition expenses(304,481)(254,828)(247,942)(254,789)(247,283)
Other operating expenses(261,033)(215,697)(215,686)(209,249)(234,544)
Corporate expenses(25,384)(25,335)(17,937)(17,920)(20,796)
Amortization of intangible assets(14,402)(19,196)(16,715)(16,489)(16,631)
Interest expense(38,346)(38,419)(41,343)(31,139)(32,555)
Net foreign exchange gains (losses)20,063 (72,209)(44,885)(39,211)72,671 
Total expenses(1,826,683)(1,753,069)(1,800,781)(1,799,319)(1,594,557)
Income (loss) before income taxes and income (loss) from operating affiliates439,111 622,869 511,470 495,689 (69,245)
Income tax expense(38,860)(34,059)(23,707)(26,127)(27,945)
Income (loss) from operating affiliates75,457 10,504 919 (3,173)8,516 
Net income (loss)475,708 599,314 488,682 466,389 (88,674)
Net (income) loss attributable to noncontrolling interests(37,552)(55,770)(69,643)(167,568)232,791 
Net income (loss) attributable to Arch438,156 543,544 419,039 298,821 144,117 
Preferred dividends(10,403)(10,403)(10,403)(10,403)(10,403)
Net income (loss) available to Arch common shareholders$427,753 $533,141 $408,636 $288,418 $133,714 
Comprehensive income (loss) available to Arch$155,089 $646,082 $455,907 $626,366 $(46,030)
Net income (loss) per common share and common share equivalent
Basic$1.07 $1.32 $1.01 $0.72 $0.33 
Diluted$1.05 $1.30 $1.00 $0.71 $0.32 
Weighted average common shares and common share equivalents outstanding
Basic400,807,895 403,005,335 402,850,485 402,503,687 403,892,161 
Diluted409,223,253 410,281,852 409,194,657 408,119,681 414,033,570 



4

Arch Capital Group Ltd. and Subsidiaries
Consolidated Balance Sheets

(U.S. Dollars in thousands, except share data)March 31,December 31,September 30,June 30,March 31,
20212020202020202020
Assets     
Investments:     
Fixed maturities available for sale, at fair value$18,723,035 $18,717,825 $18,452,888 $17,207,731 $16,841,571 
Short-term investments available for sale, at fair value1,269,631 1,924,922 2,039,097 2,277,866 944,531 
Collateral received under securities lending, at fair value143,894 301,096 64,259 473,790 182,284 
Equity securities, at fair value1,532,906 1,444,830 1,502,015 1,257,317 1,181,903 
Other investments4,435,354 4,324,796 3,749,575 3,520,771 3,310,517 
Investments accounted for using the equity method2,256,327 2,047,889 1,883,702 1,727,302 1,676,055 
Total investments28,361,147 28,761,358 27,691,536 26,464,777 24,136,861 
Cash941,951 906,448 976,398 854,259 882,284 
Accrued investment income101,108 103,299 106,940 102,064 118,089 
Securities pledged under securities lending, at fair value140,949 294,912 62,749 464,503 177,442 
Investment in operating affiliates739,783 129,291 115,411 111,175 132,460 
Premiums receivable2,618,175 2,064,586 2,225,311 2,203,753 2,155,204 
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses4,041,076 4,500,802 4,621,937 4,363,507 4,303,135 
Contractholder receivables1,919,655 1,986,924 2,185,614 2,179,124 2,140,724 
Ceded unearned premiums1,406,489 1,234,075 1,450,200 1,364,603 1,357,284 
Deferred acquisition costs919,740 790,708 750,901 714,531 708,848 
Receivable for securities sold199,424 92,743 158,674 167,281 221,573 
Goodwill and intangible assets679,509 692,863 713,777 688,490 705,450 
Other assets2,135,261 1,724,288 1,656,587 1,521,581 1,376,772 
Total assets$44,204,267 $43,282,297 $42,716,035 $41,199,648 $38,416,126 
Liabilities     
Reserve for losses and loss adjustment expenses$16,443,952 $16,513,929 $15,900,526 $15,044,874 $14,309,580 
Unearned premiums5,549,127 4,838,965 5,062,052 4,827,445 4,817,191 
Reinsurance balances payable919,125 683,263 873,067 793,467 737,597 
Contractholder payables1,925,508 1,995,562 2,191,515 2,185,414 2,149,762 
Collateral held for insured obligations222,245 215,581 221,957 208,449 211,597 
Senior notes2,861,417 2,861,113 2,860,811 2,860,733 1,871,869 
Revolving credit agreement borrowings155,688 155,687 210,687 335,587 500,587 
Securities lending payable143,886 301,089 64,251 473,783 182,274 
Payable for securities purchased386,453 218,779 382,236 275,257 327,359 
Other liabilities1,565,860 1,510,888 1,681,181 1,467,739 1,392,905 
Total liabilities30,173,261 29,294,856 29,448,283 28,472,748 26,500,721 
Redeemable noncontrolling interests57,670 58,548 57,835 55,986 55,376 
Shareholders’ equity     
Non-cumulative preferred shares780,000 780,000 780,000 780,000 780,000 
Common shares645 643 642 642 642 
Additional paid-in capital2,014,741 1,977,794 1,950,782 1,935,514 1,921,487 
Retained earnings12,790,216 12,362,463 11,829,322 11,420,686 11,132,268 
Accumulated other comprehensive income (loss), net of deferred income tax205,827 488,895 386,357 349,488 21,944 
Common shares held in treasury, at cost(2,694,957)(2,503,909)(2,495,106)(2,494,505)(2,489,097)
Total shareholders’ equity available to Arch13,096,472 13,105,886 12,451,997 11,991,825 11,367,244 
Non-redeemable noncontrolling interests876,864 823,007 757,920 679,089 492,785 
Total shareholders’ equity13,973,336 13,928,893 13,209,917 12,670,914 11,860,029 
Total liabilities, noncontrolling interests and shareholders’ equity$44,204,267 $43,282,297 $42,716,035 $41,199,648 $38,416,126 
Common shares and common share equivalents outstanding, net of treasury shares403,313,377 406,720,642 406,018,958 405,970,251 405,609,867 
Book value per common share (1)$30.54 $30.31 $28.75 $27.62 $26.10 
(1) Excludes the effects of stock options and restricted stock units outstanding.
5

Arch Capital Group Ltd. and Subsidiaries
Consolidated Statements of Changes in Shareholders’ Equity

(U.S. Dollars in thousands)Three Months Ended
 March 31,December 31,September 30,June 30,March 31,
 20212020202020202020
Non-cumulative preferred shares     
Balance at beginning and end of period$780,000 $780,000 $780,000 $780,000 $780,000 
Common shares
Balance at beginning of period643 642 642 642 638 
Common shares issued, net— — 
Balance at end of period645 643 642 642 642 
Additional paid-in capital
Balance at beginning of period1,977,794 1,950,782 1,935,514 1,921,487 1,889,683 
Amortization of share-based compensation40,573 14,663 14,662 13,160 28,050 
All other(3,626)12,349 606 867 3,754 
Balance at end of period2,014,741 1,977,794 1,950,782 1,935,514 1,921,487 
Retained earnings
Balance at beginning of period12,362,463 11,829,322 11,420,686 11,132,268 11,021,006 
Cumulative effect of an accounting change (1)— — — — (22,452)
Balance at beginning of period, as adjusted12,362,463 11,829,322 11,420,686 11,132,268 10,998,554 
Net income475,708 599,314 488,682 466,389 (88,674)
Amounts attributable to noncontrolling interests(37,552)(55,770)(69,643)(167,568)232,791 
Preferred share dividends(10,403)(10,403)(10,403)(10,403)(10,403)
Balance at end of period12,790,216 12,362,463 11,829,322 11,420,686 11,132,268 
Accumulated other comprehensive income (loss), net of deferred income tax
Balance at beginning of period488,895 386,357 349,488 21,944 212,091 
Change in unrealized appreciation (decline) in value of available-for-sale investments(254,584)63,008 19,800 305,338 (145,337)
Change in foreign currency translation adjustments(28,484)39,530 17,069 22,206 (44,810)
Balance at end of period205,827 488,895 386,357 349,488 21,944 
Common shares held in treasury, at cost
Balance at beginning of period(2,503,909)(2,495,106)(2,494,505)(2,489,097)(2,406,047)
Shares repurchased for treasury(191,048)(8,803)(601)(5,408)(83,050)
Balance at end of period(2,694,957)(2,503,909)(2,495,106)(2,494,505)(2,489,097)
Total shareholders’ equity available to Arch13,096,472 13,105,886 12,451,997 11,991,825 11,367,244 
Non-redeemable noncontrolling interests876,864 823,007 757,920 679,089 492,785 
Total shareholders’ equity$13,973,336 $13,928,893 $13,209,917 $12,670,914 $11,860,029 

(1) Adoption of ASU 2016-13, “Financial Instruments - Credit Losses (Topic 326).”
6

Arch Capital Group Ltd. and Subsidiaries
Consolidated Statements of Cash Flows
(U.S. Dollars in thousands)Three Months Ended
March 31,December 31,September 30,June 30,March 31,
 20212020202020202020
Operating Activities     
Net income (loss)$475,708 $599,314 $488,682 $466,389 $(88,674)
Adjustments to reconcile net income to net cash provided by operating activities:
Net realized (gains) losses(161,007)(366,942)(282,907)(557,740)362,964 
Equity in net (income) or loss of investment funds accounted for using the equity method and other income or loss(135,939)(78,257)(95,078)96,350 29,034 
Amortization of intangible assets14,402 19,196 16,715 16,489 16,631 
Share-based compensation40,812 14,829 14,521 13,363 28,549 
Changes in:
Reserve for losses and loss adjustment expenses, net560,153 445,758 509,623 652,389 506,057 
Unearned premiums, net560,035 (53,030)103,052 2,957 392,802 
Premiums receivable(608,250)143,123 1,872 (45,181)(418,457)
Deferred acquisition costs(126,701)(36,710)(14,801)(17,302)(75,135)
Reinsurance balances payable240,206 (139,670)73,459 52,354 79,807 
Other items, net(96,574)7,444 194,732 31,058 (223,124)
Net cash provided by operating activities762,845 555,055 1,009,870 711,126 610,454 
Investing Activities     
Purchases of fixed maturity investments(11,530,968)(5,714,394)(8,640,034)(13,444,854)(11,965,995)
Purchases of equity securities(309,419)(239,162)(330,699)(264,466)(760,683)
Purchases of other investments(430,961)(966,841)(340,194)(273,221)(228,471)
Proceeds from sales of fixed maturity investments10,917,134 5,404,479 7,711,837 13,109,907 11,723,123 
Proceeds from sales of equity securities284,986 415,471 151,447 314,045 266,301 
Proceeds from sales, redemptions and maturities of other investments323,591 237,771 319,619 256,057 216,131 
Proceeds from redemptions and maturities of fixed maturity investments421,042 225,842 276,052 170,884 198,356 
Net settlements of derivative instruments47,660 15,716 12,819 (45,017)195,488 
Net (purchases) sales of short-term investments589,175 129,670 164,012 (1,311,586)(11,777)
Change in cash collateral related to securities lending— — 26,614 (405)55,001 
Purchase of operating affiliate, net(546,349)— — — — 
Purchases of fixed assets(12,490)(13,155)(9,030)(9,217)(8,470)
Other(246,590)69,795 (140,671)(33,821)42,500 
Net cash provided by (used for) investing activities(493,189)(434,808)(798,228)(1,531,694)(278,496)
Financing Activities     
Purchases of common shares under share repurchase program(179,266)(7,986)— — (75,486)
Proceeds from common shares issued, net(10,008)11,532 (5,134)(4,527)
Proceeds from borrowings— — 13,875 988,618 16,300 
Repayments of borrowings— (55,000)(139,000)(165,000)— 
Change in cash collateral related to securities lending— — (26,614)405 (55,001)
Change in third party investment in non-redeemable noncontrolling interests15,971 — — — (2,867)
Dividends paid to redeemable noncontrolling interests(948)(1,404)(1,001)(1,359)(1,181)
Other(1,948)18,449 57,891 (1,294)(1,331)
Preferred dividends paid(10,403)(10,403)(10,403)(10,403)(10,403)
Net cash provided by (used for) financing activities(186,602)(44,812)(105,247)805,833 (134,496)
Effects of exchange rate changes on foreign currency cash and restricted cash(6,084)28,136 15,895 8,981 (30,723)
Increase (decrease) in cash and restricted cash76,970 103,571 122,290 (5,754)166,739 
Cash and restricted cash, beginning of period1,290,544 1,186,973 1,064,683 1,070,437 903,698 
Cash and restricted cash, end of period$1,367,514 $1,290,544 $1,186,973 $1,064,683 $1,070,437 
Income taxes paid (received)$7,099 $56,126 $136,404 $3,023 $7,387 
Interest paid$988 $72,936 $3,141 $50,767 $6,647 
Net cash provided by operating activities, excluding the ‘other’ segment$755,928 $507,017 $963,654 $648,427 $585,956 
7

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Overview


The Company classifies its businesses into three underwriting segments — insurance, reinsurance and mortgage — and two other operating segments — ‘other’ and corporate (non-underwriting). The Company’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 core underwriting segments based on underwriting income or loss. The Company does not manage its assets by underwriting segment and, accordingly, investment income is not allocated to each underwriting segment.

The Company determined its reportable operating 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.

Insurance Segment

The insurance segment consists of the Company’s insurance underwriting units which offer specialty product lines on a worldwide basis. Product lines include:

•    Construction and national accounts: primary and excess casualty coverages to middle and large accounts in the construction industry and a wide range of products for middle and large national accounts, specializing in loss sensitive primary casualty insurance programs (including large deductible, self-insured retention and retrospectively rated programs).
•    Excess and surplus casualty: primary and excess casualty insurance coverages, including middle market energy business, and contract binding, which primarily provides casualty coverage through a network of appointed agents to small and medium risks.
•    Lenders products: collateral protection, debt cancellation and service contract reimbursement products to banks, credit unions, automotive dealerships and original equipment manufacturers and other specialty programs that pertain to automotive lending and leasing.
•    Professional lines: directors’ and officers’ liability, errors and omissions liability, employment practices liability, fiduciary liability, crime, professional indemnity and other financial related coverages for corporate, private equity, venture capital, real estate investment trust, limited partnership, financial institution and not-for-profit clients of all sizes and medical professional and general liability insurance coverages for the healthcare industry. The business is predominately written on a claims-made basis.
•    Programs: primarily package policies, underwriting workers’ compensation and umbrella liability business in support of desirable package programs, targeting program managers with unique expertise and niche products offering general liability, commercial automobile, inland marine and property business with minimal catastrophe exposure.
•    Property, energy, marine and aviation: primary and excess general property insurance coverages, including catastrophe-exposed property coverage, for commercial 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.
8

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Overview

Reinsurance Segment
The reinsurance segment consists of the Company’s reinsurance underwriting units which offer specialty product lines on a worldwide basis. Product lines include:

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

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 Fannie Mae and Freddie Mac.

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 the Company’s non-cumulative preferred shares, net realized gains or losses, equity in net income or loss of investment funds accounted for using the equity method, net foreign exchange gains or losses, income or loss from operating affiliates and income taxes. Such amounts exclude the results of the ‘other’ segment.

Other Segment

The ‘other’ segment includes the results of Watford. Subsidiaries of the Company act as Watford’s reinsurance and insurance underwriting managers while HPS Investment Partners, LLC manages Watford’s non-investment grade credit portfolios and the Company manages Watford’s investment grade portfolios, all under long term services agreements. Pursuant to generally accepted accounting principles, Watford is considered a variable interest entity and the Company concluded that it is the primary beneficiary of Watford. As such, the Company consolidates the results of Watford in its consolidated financial statements, although it only owns approximately 10% of Watford’s common equity (listed on the Nasdaq Select Global Market under the ticker symbol “WTRE”). Watford has its own management and board of directors that is responsible for its own results and profitability. The portion of Watford’s earnings attributable to third party investors is recorded in the consolidated statements of income as ‘amounts attributable to noncontrolling interests.’ Management measures segment performance for the ‘other’ segment based on net income or loss.

9

Arch Capital Group Ltd. and Subsidiaries
Segment Information
(U.S. Dollars in thousands)Three Months Ended
March 31, 2021
 InsuranceReinsuranceMortgageSub-total (Core)OtherTotal
Gross premiums written (1)$1,415,886 $1,471,060 $391,246 $3,277,293 $216,523 $3,397,206 
Premiums ceded(421,047)(471,948)(56,051)(948,147)(37,212)(888,749)
Net premiums written994,839 999,112 335,195 2,329,146 179,311 2,508,457 
Change in unearned premiums(175,365)(354,212)1,122 (528,455)(31,580)(560,035)
Net premiums earned819,474 644,900 336,317 1,800,691 147,731 1,948,422 
Other underwriting income (loss)— (1,198)6,897 5,699 411 6,110 
Losses and loss adjustment expenses(535,747)(484,870)(63,689)(1,084,306)(118,794)(1,203,100)
Acquisition expenses(128,222)(118,025)(30,082)(276,329)(28,152)(304,481)
Other operating expenses(137,113)(60,514)(49,131)(246,758)(14,275)(261,033)
Underwriting income (loss)$18,392 $(19,707)$200,312 198,997 (13,079)185,918 
Net investment income78,729 20,127 98,856 
Net realized gains (losses)101,336 41,125 142,461 
Equity in net income (loss) of investment funds accounted for using the equity method71,686 — 71,686 
Other income (loss)(1,741)— (1,741)
Corporate expenses (2)(23,468)— (23,468)
Transaction costs and other (2)(1,201)(715)(1,916)
Amortization of intangible assets(14,402)— (14,402)
Interest expense(34,197)(4,149)(38,346)
Net foreign exchange gains (losses)21,505 (1,442)20,063 
Income (loss) before income taxes and income (loss) from operating affiliates397,244 41,867 439,111 
Income tax (expense) benefit(38,852)(8)(38,860)
Income (loss) from operating affiliates75,457 — 75,457 
Net income (loss)433,849 41,859 475,708 
Dividends attributable to redeemable noncontrolling interests117 (972)(855)
Amounts attributable to nonredeemable noncontrolling interests— (36,697)(36,697)
Net income (loss) available to Arch433,966 4,190 438,156 
Preferred dividends(10,403)— (10,403)
Net income (loss) available to Arch common shareholders$423,563 $4,190 $427,753 
Underwriting Ratios
Loss ratio65.4 %75.2 %18.9 %60.2 %80.4 %61.7 %
Acquisition expense ratio15.6 %18.3 %8.9 %15.3 %19.1 %15.6 %
Other operating expense ratio16.7 %9.4 %14.6 %13.7 %9.7 %13.4 %
Combined ratio97.7 %102.9 %42.4 %89.2 %109.2 %90.7 %
Net premiums written to gross premiums written70.3 %67.9 %85.7 %71.1 %82.8 %73.8 %
Total investable assets$26,338,599 $2,740,428 $29,079,027 
Total assets40,541,201 3,663,066 44,204,267 
Total liabilities27,533,009 2,640,252 30,173,261 
 
(1)    Certain amounts included in the gross premiums written of each segment are related to intersegment transactions and are included in the gross premiums written of each segment. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.
(2)    Certain expenses have been excluded from ‘corporate expenses’ and reflected in ‘Transaction costs and other.’ See ‘Comments on Regulation G’ for a further discussion of such items.
10

Arch Capital Group Ltd. and Subsidiaries
Segment Information
(U.S. Dollars in thousands)Three Months Ended
March 31, 2020
 InsuranceReinsuranceMortgageSub-total (Core)OtherTotal
Gross premiums written (1)$1,207,645 $1,122,519 $368,945 $2,698,537 $234,902 $2,832,830 
Premiums ceded(378,897)(325,339)(44,327)(747,991)(48,202)(695,584)
Net premiums written828,748 797,180 324,618 1,950,546 186,700 2,137,246 
Change in unearned premiums(112,829)(253,720)20,408 (346,141)(46,661)(392,802)
Net premiums earned715,919 543,460 345,026 1,604,405 140,039 1,744,444 
Other underwriting income (loss)— 2,120 4,599 6,719 133 6,852 
Losses and loss adjustment expenses(507,108)(430,069)(67,566)(1,004,743)(110,676)(1,115,419)
Acquisition expenses(107,337)(79,606)(38,536)(225,479)(21,804)(247,283)
Other operating expenses(129,649)(45,297)(45,896)(220,842)(13,702)(234,544)
Underwriting income (loss)$(28,175)$(9,392)$197,627 160,060 (6,010)154,050 
Net investment income113,028 32,125 145,153 
Net realized gains (losses)(72,109)(294,851)(366,960)
Equity in net income (loss) of investment funds accounted for using the equity method(4,209)— (4,209)
Other income (loss)32 — 32 
Corporate expenses (2)(18,201)— (18,201)
Transaction costs and other (2)(2,595)— (2,595)
Amortization of intangible assets(16,631)— (16,631)
Interest expense(25,245)(7,310)(32,555)
Net foreign exchange gains (losses)63,307 9,364 72,671 
Income (loss) before income taxes and income (loss) from operating affiliates197,437 (266,682)(69,245)
Income tax (expense) benefit(27,945)— (27,945)
Income (loss) from operating affiliates8,516 — 8,516 
Net income (loss)178,008 (266,682)(88,674)
Dividends attributable to redeemable noncontrolling interests(57)(1,096)(1,153)
Amounts attributable to nonredeemable noncontrolling interests— 233,944 233,944 
Net income (loss) available to Arch177,951 (33,834)144,117 
Preferred dividends(10,403)— (10,403)
Net income (loss) available to Arch common shareholders$167,548 $(33,834)$133,714 
Underwriting Ratios
Loss ratio70.8 %79.1 %19.6 %62.6 %79.0 %63.9 %
Acquisition expense ratio15.0 %14.6 %11.2 %14.1 %15.6 %14.2 %
Other operating expense ratio18.1 %8.3 %13.3 %13.8 %9.8 %13.4 %
Combined ratio103.9 %102.0 %44.1 %90.5 %104.4 %91.5 %
Net premiums written to gross premiums written68.6 %71.0 %88.0 %72.3 %79.5 %75.4 %
Total investable assets$22,375,852 $2,502,589 $24,878,441 
Total assets35,049,744 3,366,382 38,416,126 
Total liabilities23,740,716 2,760,005 26,500,721 
 
(1)    Certain amounts included in the gross premiums written of each segment are related to intersegment transactions and are included in the gross premiums written of each segment. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.
(2)    Certain expenses have been excluded from ‘corporate expenses’ and reflected in ‘Transaction costs and other.’ See ‘Comments on Regulation G’ for a further discussion of such items.
11

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Insurance Segment
(U.S. Dollars in thousands)Three Months Ended
 March 31,December 31,September 30,June 30,March 31,
 20212020202020202020
Gross premiums written$1,415,886 $1,244,227 $1,206,328 $1,030,362 $1,207,645 
Premiums ceded(421,047)(406,490)(382,167)(358,101)(378,897)
Net premiums written994,839 837,737 824,161 672,261 828,748 
Change in unearned premiums(175,365)(89,299)(105,007)15,648 (112,829)
Net premiums earned819,474 748,438 719,154 687,909 715,919 
Other underwriting income (loss)— — (31)— — 
Losses and loss adjustment expenses(535,747)(541,821)(525,321)(518,203)(507,108)
Acquisition expenses(128,222)(101,055)(102,420)(107,671)(107,337)
Other operating expenses(137,113)(118,206)(122,541)(118,757)(129,649)
Underwriting income (loss)$18,392 $(12,644)$(31,159)$(56,722)$(28,175)
Underwriting Ratios
Loss ratio65.4 %72.4 %73.0 %75.3 %70.8 %
Acquisition expense ratio15.6 %13.5 %14.2 %15.7 %15.0 %
Other operating expense ratio16.7 %15.8 %17.0 %17.3 %18.1 %
Combined ratio97.7 %101.7 %104.2 %108.3 %103.9 %
Catastrophic activity and prior year development:
Current accident year catastrophic events, net of reinsurance and reinstatement premiums5.1 %8.3 %10.3 %12.5 %6.9 %
Net (favorable) adverse development in prior year loss reserves, net of related adjustments(0.7)%(0.2)%(0.2)%(0.3)%(0.1)%
Combined ratio excluding catastrophic activity and prior year development (1)93.3 %93.6 %94.1 %96.1 %97.1 %
Net premiums written to gross premiums written70.3 %67.3 %68.3 %65.2 %68.6 %
 
(1)See ‘Comments on Regulation G’ for further discussion.

12

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Insurance Segment
(U.S. Dollars in thousands)Three Months Ended
 March 31,December 31,September 30,June 30,March 31,
 20212020202020202020
Net premiums written
Property, energy, marine and aviation$170,498 17.1 %$179,455 21.4 %$152,193 18.5 %$159,801 23.8 %$127,585 15.4 %
Professional lines (1)238,246 23.9 %217,306 25.9 %199,163 24.2 %157,899 23.5 %169,118 20.4 %
Programs158,401 15.9 %96,743 11.5 %123,768 15.0 %104,930 15.6 %112,532 13.6 %
Construction and national accounts134,792 13.5 %102,171 12.2 %88,790 10.8 %57,144 8.5 %115,999 14.0 %
Excess and surplus casualty (2)85,593 8.6 %88,319 10.5 %78,889 9.6 %64,703 9.6 %65,419 7.9 %
Travel, accident and health92,306 9.3 %29,959 3.6 %28,972 3.5 %27,997 4.2 %126,046 15.2 %
Lenders products34,860 3.5 %38,307 4.6 %60,830 7.4 %23,690 3.5 %33,292 4.0 %
Other (3)80,143 8.1 %85,477 10.2 %91,556 11.1 %76,097 11.3 %78,757 9.5 %
Total$994,839 100.0 %$837,737 100.0 %$824,161 100.0 %$672,261 100.0 %$828,748 100.0 %
Underwriting location
United States$675,840 67.9 %$527,824 63.0 %$574,699 69.7 %$453,215 67.4 %$602,677 72.7 %
Europe276,122 27.8 %266,761 31.8 %212,203 25.7 %181,566 27.0 %196,042 23.7 %
Other42,877 4.3 %43,152 5.2 %37,259 4.5 %37,480 5.6 %30,029 3.6 %
Total$994,839 100.0 %$837,737 100.0 %$824,161 100.0 %$672,261 100.0 %$828,748 100.0 %
Net premiums earned
Property, energy, marine and aviation$157,259 19.2 %$151,456 20.2 %$133,827 18.6 %$120,781 17.6 %$111,183 15.5 %
Professional lines (1)199,671 24.4 %180,858 24.2 %168,502 23.4 %154,812 22.5 %151,700 21.2 %
Programs112,840 13.8 %110,651 14.8 %104,861 14.6 %108,464 15.8 %108,878 15.2 %
Construction and national accounts102,671 12.5 %101,243 13.5 %95,386 13.3 %91,605 13.3 %99,700 13.9 %
Excess and surplus casualty (2)75,367 9.2 %74,579 10.0 %69,978 9.7 %60,966 8.9 %65,097 9.1 %
Travel, accident and health49,666 6.1 %24,726 3.3 %36,726 5.1 %52,117 7.6 %77,375 10.8 %
Lenders products40,081 4.9 %32,832 4.4 %33,401 4.6 %23,111 3.4 %25,343 3.5 %
Other (3)81,919 10.0 %72,093 9.6 %76,473 10.6 %76,053 11.1 %76,643 10.7 %
Total$819,474 100.0 %$748,438 100.0 %$719,154 100.0 %$687,909 100.0 %$715,919 100.0 %

(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.

13

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Reinsurance Segment
(U.S. Dollars in thousands)Three Months Ended
 March 31,December 31,September 30,June 30,March 31,
 20212020202020202020
Gross premiums written$1,471,060 $537,912 $1,004,590 $807,065 $1,122,519 
Premiums ceded(471,948)(47,018)(400,388)(241,971)(325,339)
Net premiums written999,112 490,894 604,202 565,094 797,180 
Change in unearned premiums(354,212)93,180 (49,704)(84,897)(253,720)
Net premiums earned644,900 584,074 554,498 480,197 543,460 
Other underwriting income (loss)(1,198)2,687 298 (651)2,120 
Losses and loss adjustment expenses(484,870)(392,734)(422,084)(383,433)(430,069)
Acquisition expenses(118,025)(98,532)(85,388)(90,522)(79,606)
Other operating expenses(60,514)(42,180)(41,818)(38,716)(45,297)
Underwriting income (loss)$(19,707)$53,315 $5,506 $(33,125)$(9,392)
Underwriting Ratios
Loss ratio75.2 %67.2 %76.1 %79.8 %79.1 %
Acquisition expense ratio18.3 %16.9 %15.4 %18.9 %14.6 %
Other operating expense ratio9.4 %7.2 %7.5 %8.1 %8.3 %
Combined ratio102.9 %91.3 %99.0 %106.8 %102.0 %
Catastrophic activity and prior year development:
Current accident year catastrophic events, net of reinsurance and reinstatement premiums22.7 %16.1 %23.3 %25.3 %12.7 %
Net (favorable) adverse development in prior year loss reserves, net of related adjustments(3.8)%(6.9)%(7.4)%(6.0)%(2.0)%
Combined ratio excluding catastrophic activity and prior year development (1)84.0 %82.1 %83.1 %87.5 %91.3 %
Net premiums written to gross premiums written67.9 %91.3 %60.1 %70.0 %71.0 %
 
(1)See ‘Comments on Regulation G’ for further discussion.



14

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Reinsurance Segment
(U.S. Dollars in thousands)Three Months Ended
 March 31,December 31,September 30,June 30,March 31,
 20212020202020202020
Net premiums written
Property excluding property catastrophe$292,833 29.3 %$150,643 30.7 %$223,880 37.1 %$163,639 29.0 %$158,924 19.9 %
Property catastrophe117,207 11.7 %37,317 7.6 %42,125 7.0 %117,676 20.8 %89,092 11.2 %
Other specialty (1)284,331 28.5 %147,012 29.9 %159,969 26.5 %117,375 20.8 %284,952 35.7 %
Casualty (2)218,256 21.8 %103,989 21.2 %142,401 23.6 %105,049 18.6 %190,880 23.9 %
Marine and aviation61,638 6.2 %31,418 6.4 %27,839 4.6 %32,372 5.7 %49,785 6.2 %
Other (3)24,847 2.5 %20,515 4.2 %7,988 1.3 %28,983 5.1 %23,547 3.0 %
Total$999,112 100.0 %$490,894 100.0 %$604,202 100.0 %$565,094 100.0 %$797,180 100.0 %
Underwriting location
Bermuda$518,241 51.9 %$187,727 38.2 %$240,193 39.8 %$240,451 42.6 %$333,619 41.8 %
United States208,101 20.8 %148,994 30.4 %189,135 31.3 %162,027 28.7 %187,466 23.5 %
Europe and other272,770 27.3 %154,173 31.4 %174,874 28.9 %162,616 28.8 %276,095 34.6 %
Total$999,112 100.0 %$490,894 100.0 %$604,202 100.0 %$565,094 100.0 %$797,180 100.0 %
Net premiums earned
Property excluding property catastrophe$187,782 29.1 %$162,456 27.8 %$163,081 29.4 %$124,019 25.8 %$112,652 20.7 %
Property catastrophe88,011 13.6 %59,986 10.3 %69,524 12.5 %55,226 11.5 %53,000 9.8 %
Other specialty (1)163,898 25.4 %158,817 27.2 %141,201 25.5 %123,006 25.6 %203,385 37.4 %
Casualty (2)149,031 23.1 %144,808 24.8 %136,421 24.6 %132,756 27.6 %135,071 24.9 %
Marine and aviation40,108 6.2 %33,062 5.7 %26,744 4.8 %24,960 5.2 %24,858 4.6 %
Other (3)16,070 2.5 %24,945 4.3 %17,527 3.2 %20,230 4.2 %14,494 2.7 %
Total$644,900 100.0 %$584,074 100.0 %$554,498 100.0 %$480,197 100.0 %$543,460 100.0 %
                        
(1)    Includes proportional motor, surety, accident and health, workers’ compensation catastrophe, agriculture, trade credit and other.
(2)      Includes executive assurance, professional liability, workers’ compensation, excess motor, healthcare and other.    
(3)     Includes life, casualty clash and other.    
15

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Mortgage Segment
(U.S. Dollars in thousands)Three Months Ended
 March 31,December 31,September 30,June 30,March 31,
20212020202020202020
Gross premiums written$391,246 $389,662 $346,248 $369,144 $368,945 
Premiums ceded(56,051)(57,995)(47,783)(44,044)(44,327)
Net premiums written335,195 331,667 298,465 325,100 324,618 
Change in unearned premiums1,122 4,120 52,944 40,613 20,408 
Net premiums earned336,317 335,787 351,409 365,713 345,026 
Other underwriting income (1)6,897 4,667 4,600 6,450 4,599 
Losses and loss adjustment expenses(63,689)(83,623)(153,055)(224,100)(67,566)
Acquisition expenses(30,082)(25,936)(35,716)(34,052)(38,536)
Other operating expenses(49,131)(42,024)(36,708)(37,574)(45,896)
Underwriting income$200,312 $188,871 $130,530 $76,437 $197,627 
Underwriting Ratios
Loss ratio18.9 %24.9 %43.6 %61.3 %19.6 %
Acquisition expense ratio8.9 %7.7 %10.2 %9.3 %11.2 %
Other operating expense ratio14.6 %12.5 %10.4 %10.3 %13.3 %
Combined ratio42.4 %45.1 %64.2 %80.9 %44.1 %
Net (favorable) adverse development in prior year loss reserves, net of related adjustments(3.4)%(2.4)%(1.3)%(0.1)%(1.8)%
Combined ratio excluding prior year development (2)45.8 %47.5 %65.5 %81.0 %45.9 %
Net premiums written to gross premiums written85.7 %85.1 %86.2 %88.1 %88.0 %
Net premiums written by underwriting location
United States$247,529 $250,747 $245,971 $261,124 $264,108 
Other87,666 80,920 52,494 63,976 60,510 
Total$335,195 $331,667 $298,465 $325,100 $324,618 
United States %73.8 %75.6 %82.4 %80.3 %81.4 %
Other %26.2 %24.4 %17.6 %19.7 %18.6 %

(1)     Primarily related to income earned on various risk-sharing products offered to government sponsored enterprises and mortgage lenders.
(2)    See ‘Comments on Regulation G’ for further discussion.
16

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Mortgage Segment
(U.S. Dollars in millions)March 31, 2021December 31, 2020September 30, 2020June 30, 2020March 31, 2020
Insurance In Force (IIF) (1)
U.S. primary mortgage insurance$276,179 64.7 %$280,579 66.2 %$275,846 66.8 %$276,643 65.9 %$284,203 68.9 %
Mortgage reinsurance31,699 7.4 %31,220 7.4 %28,421 6.9 %27,457 6.5 %24,335 5.9 %
Other (2)119,138 27.9 %111,740 26.4 %108,786 26.3 %115,803 27.6 %103,731 25.2 %
Total$427,016 100.0 %$423,539 100.0 %$413,053 100.0 %$419,903 100.0 %$412,269 100.0 %
Risk In Force (RIF) (3)
U.S. primary mortgage insurance$69,234 89.9 %$70,522 90.5 %$69,620 91.0 %$70,200 91.0 %$72,566 92.0 %
Mortgage reinsurance2,214 2.9 %2,226 2.9 %2,145 2.8 %2,116 2.7 %1,961 2.5 %
Other (2)5,573 7.2 %5,146 6.6 %4,750 6.2 %4,795 6.2 %4,387 5.6 %
Total$77,021 100.0 %$77,894 100.0 %$76,515 100.0 %$77,111 100.0 %$78,914 100.0 %
Supplemental disclosures for U.S. primary mortgage insurance:
Total RIF by credit quality (FICO score):
>=740$40,230 58.1 %$40,774 57.8 %$40,017 57.5 %$40,297 57.4 %$41,738 57.5 %
680-73924,006 34.7 %24,498 34.7 %24,236 34.8 %24,346 34.7 %25,078 34.6 %
620-6794,607 6.7 %4,837 6.9 %5,016 7.2 %5,188 7.4 %5,368 7.4 %
<620391 0.6 %413 0.6 %351 0.5 %369 0.5 %382 0.5 %
Total$69,234 100.0 %$70,522 100.0 %$69,620 100.0 %$70,200 100.0 %$72,566 100.0 %
Weighted average FICO score744 743 743 743 743 
Total RIF by Loan-To-Value (LTV):
95.01% and above$8,310 12.0 %$8,643 12.3 %$8,789 12.6 %$8,859 12.6 %$9,060 12.5 %
90.01% to 95.00%37,193 53.7 %37,877 53.7 %37,278 53.5 %37,830 53.9 %39,594 54.6 %
85.01% to 90.00%19,648 28.4 %20,013 28.4 %19,870 28.5 %20,071 28.6 %20,619 28.4 %
85.00% and below4,083 5.9 %3,989 5.7 %3,683 5.3 %3,440 4.9 %3,293 4.5 %
Total$69,234 100.0 %$70,522 100.0 %$69,620 100.0 %$70,200 100.0 %$72,566 100.0 %
Weighted average LTV92.8 %92.8 %92.9 %92.9 %93.0 %
Total RIF by State:
Texas$5,569 8.0 %$5,636 8.0 %$5,536 8.0 %$5,560 7.9 %$5,683 7.8 %
California5,343 7.7 %5,261 7.5 %5,019 7.2 %4,948 7.0 %5,106 7.0 %
Florida3,544 5.1 %3,632 5.2 %3,648 5.2 %3,737 5.3 %3,863 5.3 %
Georgia2,929 4.2 %2,959 4.2 %2,890 4.2 %2,861 4.1 %2,819 3.9 %
Illinois2,728 3.9 %2,762 3.9 %2,670 3.8 %2,643 3.8 %2,621 3.6 %
North Carolina2,610 3.8 %2,622 3.7 %2,516 3.6 %2,459 3.5 %2,475 3.4 %
Virginia2,458 3.6 %2,526 3.6 %2,540 3.6 %2,656 3.8 %2,814 3.9 %
Minnesota2,452 3.5 %2,520 3.6 %2,489 3.6 %2,473 3.5 %2,509 3.5 %
Massachusetts2,434 3.5 %2,464 3.5 %2,344 3.4 %2,345 3.3 %2,409 3.3 %
Washington2,154 3.1 %2,220 3.1 %2,222 3.2 %2,291 3.3 %2,426 3.3 %
Other37,013 53.5 %37,920 53.8 %37,746 54.2 %38,227 54.5 %39,841 54.9 %
Total$69,234 100.0 %$70,522 100.0 %$69,620 100.0 %$70,200 100.0 %$72,566 100.0 %
Weighted average coverage (end of period RIF divided by IIF)25.1 %25.1 %25.2 %25.4 %25.5 %
U.S. mortgage insurance total RIF, net of reinsurance (4)$55,503 $56,658 $56,067 $57,258 $58,693 
Analysts’ persistency (5)54.1 %58.7 %62.5 %66.6 %72.6 %
Risk-to-capital ratio -- Arch MI U.S. (6)8.7:1 9.3:1 9.6:110.2:111.3:1
PMIER sufficiency ratio -- Arch MI U.S. (7)190 %173 %158 %161 %165 %

(1)    The aggregate dollar amount of each insured mortgage loan’s current principal balance.         (4)    Total RIF for the U.S. mortgage insurance operations (see note 3) after external reinsurance.
(2)    Includes GSE credit risk-sharing transactions and international insurance business.        (5)    Represents the % of IIF at the beginning of a 12-month period that remained in force at the end of the period.
(3)    The aggregate dollar amount of each insured mortgage loan’s current principal balance multiplied    (6)    Represents current (non-delinquent) RIF, net of reinsurance, divided by statutory capital (estimate for March 31, 2021).
    by the insurance coverage percentage specified in the policy for insurance policies issued and    (7)    Calculated as available assets divided by required assets as defined within PMIERs (estimate for March 31, 2021).
    after contract limits and/or loss ratio caps for risk-sharing or reinsurance transactions.            There was approximately $1.8 billion of excess available assets at March 31, 2021.
17

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Mortgage Segment
(U.S. Dollars in millions, except policy/loan/claim count)Three Months Ended
March 31, 2021December 31, 2020September 30, 2020June 30, 2020March 31, 2020
Supplemental disclosures for U.S. primary mortgage insurance:
Total new insurance written (NIW) (1)$27,019 $38,011 $32,787 $24,551 $16,778 
Total NIW by credit quality (FICO score):
>=740$17,818 65.9 %$25,128 66.1 %$21,160 64.5 %$15,851 64.6 %$10,069 60.0 %
680-7398,418 31.2 %11,877 31.2 %10,562 32.2 %7,781 31.7 %5,787 34.5 %
620-679783 2.9 %1,006 2.6 %1,065 3.2 %919 3.7 %922 5.5 %
  Total$27,019 100.0 %$38,011 100.0 %$32,787 100.0 %$24,551 100.0 %$16,778 100.0 %
Total NIW by LTV:
95.01% and above$1,608 6.0 %$2,475 6.5 %$2,561 7.8 %$1,948 7.9 %$1,668 9.9 %
90.01% to 95.00%12,288 45.5 %17,783 46.8 %13,967 42.6 %9,403 38.3 %7,199 42.9 %
85.01% to 90.00%8,312 30.8 %11,014 29.0 %10,052 30.7 %8,140 33.2 %5,329 31.8 %
85.00% and below4,811 17.8 %6,739 17.7 %6,207 18.9 %5,060 20.6 %2,582 15.4 %
  Total$27,019 100.0 %$38,011 100.0 %$32,787 100.0 %$24,551 100.0 %$16,778 100.0 %
Total NIW monthly vs. single:
Monthly$24,989 92.5 %$35,672 93.8 %$31,928 97.4 %$23,391 95.3 %$15,692 93.5 %
Single2,030 7.5 %2,339 6.2 %859 2.6 %1,160 4.7 %1,086 6.5 %
  Total$27,019 100.0 %$38,011 100.0 %$32,787 100.0 %$24,551 100.0 %$16,778 100.0 %
Total NIW purchase vs. refinance:
Purchase$20,505 75.9 %$29,584 77.8 %$24,256 74.0 %$14,956 60.9 %$12,299 73.3 %
Refinance6,514 24.1 %8,427 22.2 %8,531 26.0 %9,595 39.1 %4,479 26.7 %
  Total$27,019 100.0 %$38,011 100.0 %$32,787 100.0 %$24,551 100.0 %$16,778 100.0 %
Ending number of policies in force (PIF) (2)1,214,245 1,245,771 1,245,408 1,259,328 1,293,799 
Rollforward of insured loans in default:
Beginning delinquent number of loans52,234 58,362 64,667 18,414 20,163 
Plus: new notices10,990 14,564 19,967 58,374 9,419 
Less: cures(16,131)(20,457)(26,029)(11,664)(10,541)
Less: paid claims(179)(235)(243)(457)(627)
Ending delinquent number of loans (2)46,914 52,234 58,362 64,667 18,414 
Ending percentage of loans in default (2)3.86 %4.19 %4.69 %5.14 %1.42 %
Losses:
Number of claims paid179 235 243 457 627 
Total paid claims (in thousands)$6,882 $9,344 $9,420 $20,101 $26,038 
Average per claim (in thousands)$38.4 $39.8 $38.8 $44.0 $41.5 
Severity (3)82.0 %87.2 %88.6 %96.3 %92.8 %
Average case reserve per default (in thousands)$15.2 $12.6 $10.1 $6.9 $14.4 

(1)    The original principal balance of all loans that received coverage during the period.    
(2)    Includes first lien primary and pool policies.    
(3)    Represents total paid claims divided by RIF of loans for which claims were paid.

18

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Mortgage Segment
Supplemental disclosures for U.S. primary mortgage insurance:
(U.S. Dollars in millions)March 31, 2021December 31, 2020
Loss Reserves, Net (1)Primary IIF (2)Primary RIF (3)Delinquency RateLoss Reserves, Net (1)Primary IIF (2)Primary RIF (3)Delinquency Rate
% of TotalTotal% of TotalTotal% of Total% of TotalTotal% of TotalTotal% of Total
Policy year:
2011 and prior29.1 %$13,569 4.9 %$3,086 4.5 %11.16 %28.3 %$14,588 5.2 %$3,327 4.7 %11.36 %
20121.2 %2,769 1.0 %734 1.1 %3.17 %1.3 %3,651 1.3 %992 1.4 %2.98 %
20132.9 %6,522 2.4 %1,817 2.6 %3.17 %3.0 %7,546 2.7 %2,107 3.0 %3.30 %
20142.2 %7,250 2.6 %1,993 2.9 %3.96 %2.2 %8,261 2.9 %2,273 3.2 %4.06 %
20153.4 %12,971 4.7 %3,495 5.0 %3.64 %3.4 %15,032 5.4 %4,048 5.7 %3.72 %
20168.7 %21,354 7.7 %5,718 8.3 %4.66 %8.8 %24,958 8.9 %6,648 9.4 %4.77 %
201712.3 %20,826 7.5 %5,413 7.8 %5.46 %12.9 %24,748 8.8 %6,413 9.1 %5.52 %
201816.4 %22,856 8.3 %5,794 8.4 %6.98 %16.8 %27,304 9.7 %6,918 9.8 %6.76 %
201917.3 %40,743 14.8 %10,157 14.7 %4.72 %17.8 %48,304 17.2 %12,001 17.0 %4.61 %
20206.5 %100,435 36.4 %24,460 35.3 %0.91 %5.5 %106,187 37.8 %25,795 36.6 %0.76 %
20210.0 %26,884 9.7 %6,567 9.5 %0.03 %
Total100.0 %$276,179 100.0 %$69,234 100.0 %3.86 %100.0 %$280,579 100.0 %$70,522 100.0 %4.19 %

(1)    Total reserves for losses and loss adjustment expenses, net of recoverables, was $700.2 million at March 31, 2021, compared to $649.7 million at December 31, 2020.
(2)    The aggregate dollar amount of each insured mortgage loan’s current principal balance.
(3)    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 risk-sharing transactions.
19

Arch Capital Group Ltd. and Subsidiaries
Segment Information - Consolidated Excluding the 'Other' Segment (Sub-Total (Core))

(U.S. Dollars in thousands)Three Months Ended
 March 31,December 31,September 30,June 30,March 31,
 20212020202020202020
Gross premiums written$3,277,293 $2,170,831 $2,556,914 $2,206,410 $2,698,537 
Premiums ceded(948,147)(510,533)(830,086)(643,955)(747,991)
Net premiums written2,329,146 1,660,298 1,726,828 1,562,455 1,950,546 
Change in unearned premiums(528,455)8,001 (101,767)(28,636)(346,141)
Net premiums earned1,800,691 1,668,299 1,625,061 1,533,819 1,604,405 
Other underwriting income (loss)5,699 7,354 4,867 5,799 6,719 
Losses and loss adjustment expenses(1,084,306)(1,018,178)(1,100,460)(1,125,736)(1,004,743)
Acquisition expenses(276,329)(225,523)(223,524)(232,245)(225,479)
Other operating expenses(246,758)(202,410)(201,067)(195,047)(220,842)
Underwriting income (loss)$198,997 $229,542 $104,877 $(13,410)$160,060 
Underwriting Ratios
Loss ratio60.2 %61.0 %67.7 %73.4 %62.6 %
Acquisition expense ratio15.3 %13.5 %13.8 %15.1 %14.1 %
Other operating expense ratio13.7 %12.1 %12.4 %12.7 %13.8 %
Combined ratio89.2 %86.6 %93.9 %101.2 %90.5 %
Catastrophic activity and prior year development:
Current accident year catastrophic events, net of reinsurance and reinstatement premiums10.5 %9.4 %12.5 %13.5 %7.4 %
Net (favorable) adverse development in prior year loss reserves, net of related adjustments(2.3)%(3.0)%(2.9)%(2.0)%(1.1)%
Combined ratio excluding catastrophic activity and prior year development (1)81.0 %80.2 %84.3 %89.7 %84.2 %
Components of losses and loss adjustment expenses incurred (1)
Paid losses and loss adjustment expenses$572,589 $652,077 $618,638 $550,481 $530,012 
Change in unpaid losses and loss adjustment expenses511,717 366,101 481,822 575,255 474,731 
Total losses and loss adjustment expenses$1,084,306 $1,018,178 $1,100,460 $1,125,736 $1,004,743 
Net premiums written to gross premiums written71.1 %76.5 %67.5 %70.8 %72.3 %
 
(1)See ‘Comments on Regulation G’ for further discussion.


20

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Selected Information on Losses and Loss Adjustment Expenses

(U.S. Dollars in thousands)Three Months Ended
 March 31,December 31,September 30,June 30,March 31,
 20212020202020202020
Estimated net (favorable) adverse development in prior year loss reserves, net of related adjustments (1)
Net impact on underwriting results:
Insurance$(5,474)$(1,158)$(1,136)$(2,148)$(776)
Reinsurance(24,765)(40,472)(40,766)(28,933)(10,960)
Mortgage(11,492)(8,151)(4,523)(306)(6,101)
Total $(41,731)$(49,781)$(46,425)$(31,387)$(17,837)
Impact on losses and loss adjustment expenses:
Insurance$(4,057)$(1,906)$(2,282)$(2,518)$(1,115)
Reinsurance(26,809)(40,156)(41,960)(40,211)(11,627)
Mortgage(10,913)(8,151)(4,523)(208)(6,101)
Total$(41,779)$(50,213)$(48,765)$(42,937)$(18,843)
Impact on acquisition expenses:
Insurance$(1,417)$748 $1,146 $370 $339 
Reinsurance2,044 (316)1,194 11,278 667 
Mortgage(579)— — (98)— 
Total$48 $432 $2,340 $11,550 $1,006 
Impact on combined ratio:
Insurance(0.7)%(0.2)%(0.2)%(0.3)%(0.1)%
Reinsurance(3.8)%(6.9)%(7.4)%(6.0)%(2.0)%
Mortgage(3.4)%(2.4)%(1.3)%(0.1)%(1.8)%
Total (2.3)%(3.0)%(2.9)%(2.0)%(1.1)%
Impact on loss ratio:
Insurance(0.5)%(0.3)%(0.3)%(0.4)%(0.2)%
Reinsurance(4.2)%(6.9)%(7.6)%(8.4)%(2.1)%
Mortgage(3.2)%(2.4)%(1.3)%(0.1)%(1.8)%
Total(2.3)%(3.0)%(3.0)%(2.8)%(1.2)%
Impact on acquisition expense ratio:
Insurance(0.2)%0.1 %0.1 %0.1 %0.1 %
Reinsurance0.4 %0.0 %0.2 %2.4 %0.1 %
Mortgage(0.2)%0.0 %0.0 %0.0 %0.0 %
Total 0.0 %0.0 %0.1 %0.8 %0.1 %
Estimated net losses incurred from current accident year catastrophic events (2)
Insurance$41,876 $62,398 $74,365 $85,929 $49,483 
Reinsurance146,379 93,959 128,939 121,263 68,953 
Total$188,255 $156,357 $203,304 $207,192 $118,436 
Impact on combined ratio:
Insurance5.1 %8.3 %10.3 %12.5 %6.9 %
Reinsurance22.7 %16.1 %23.3 %25.3 %12.7 %
Total10.5 %9.4 %12.5 %13.5 %7.4 %
Estimated impact of COVID-19 event, net of reinsurance and reinstatement premiums, included in current accident year catastrophic events (3)
Insurance$572 $(75)$3,442 $78,059 $35,946 
Reinsurance15 $446 8,449 95,039 50,700 
Total$587 $371 $11,891 $173,098 $86,646 
Impact on combined ratio:
Insurance0.1 %0.0 %0.5 %11.3 %5.0 %
Reinsurance0.0 %0.1 %1.5 %19.8 %9.3 %
Total0.0 %0.0 %0.7 %11.3 %5.4 %
(1)Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Watford). See ‘Comments on Regulation G’ for a further discussion of the presentation of ‘core’ results.
(2)Equals estimated losses from catastrophic events occurring in the current accident year (e.g. natural catastrophes, man-made events, pandemic events), net of reinsurance and reinstatement premiums. As regards the natural catastrophe estimates included within, amounts shown for the insurance segment are for named catastrophic events only, while amounts shown for the reinsurance segment include (i) named events with over $5 million of losses incurred by its Bermuda and Europe operations and (ii) all catastrophe losses incurred by its U.S. operations. Amounts not applicable for the mortgage segment.
(3)Equals estimated losses for exposures through March 31, 2021 to the COVID-19 global pandemic, net of reinsurance and reinstatement premiums. The amounts represent a subset of the estimated losses for the current accident year catastrophic events.
21

Arch Capital Group Ltd. and Subsidiaries
Investment Information — Investable Asset Summary and Investment Portfolio Metrics
The following table summarizes the Company’s investable assets and portfolio metrics (1):
(U.S. Dollars in thousands)March 31,December 31,September 30,June 30,March 31,
20212020202020202020
Investable assets (1) (2):
Fixed maturities available for sale, at fair value$18,136,604 68.9 %$18,104,322 67.4 %$17,844,866 69.4 %$16,557,966 67.5 %$16,163,702 72.2 %
Fixed maturities—fair value option (3)360,616 1.4 %388,191 1.4 %386,865 1.5 %375,793 1.5 %342,241 1.5 %
Fixed maturities pledged under securities lending agreements, at fair value130,152 0.5 %278,783 1.0 %62,749 0.2 %457,906 1.9 %177,442 0.8 %
Total fixed maturities18,627,372 70.7 %18,771,296 69.9 %18,294,480 71.1 %17,391,665 70.9 %16,683,385 74.6 %
Equity securities, at fair value1,470,592 5.6 %1,392,420 5.2 %1,449,208 5.6 %1,194,874 4.9 %1,118,734 5.0 %
Equity securities—fair value option (3)25,640 0.1 %27,555 0.1 %30,494 0.1 %31,197 0.1 %29,905 0.1 %
Equity securities pledged under securities lending agreements, at fair value10,797 0.0 %16,129 0.1 %— 0.0 %6,597 0.0 %— 0.0 %
Total equity securities1,507,029 5.7 %1,436,104 5.3 %1,479,702 5.8 %1,232,668 5.0 %1,148,639 5.1 %
Other investments—fair value option (3)1,527,999 5.8 %1,480,347 5.5 %1,276,867 5.0 %1,212,788 4.9 %1,153,737 5.2 %
Other investable assets (3)500,000 1.9 %500,000 1.9 %— 0.0 %— 0.0 %— 0.0 %
Total other investments2,027,999 7.7 %1,980,347 7.4 %1,276,867 5.0 %1,212,788 4.9 %1,153,737 5.2 %
Investments accounted for using the equity method (4)2,256,327 8.6 %2,047,889 7.6 %1,883,702 7.3 %1,727,302 7.0 %1,676,055 7.5 %
Short-term investments available for sale, at fair value1,269,631 4.8 %1,924,922 7.2 %2,039,097 7.9 %2,277,866 9.3 %944,531 4.2 %
Short-term investments—fair value option (3)140,329 0.5 %138,318 0.5 %118,313 0.5 %14,317 0.1 %52,548 0.2 %
Total short-term investments1,409,960 5.4 %2,063,240 7.7 %2,157,410 8.4 %2,292,183 9.3 %997,079 4.5 %
Cash705,787 2.7 %694,997 2.6 %781,065 3.0 %746,606 3.0 %785,704 3.5 %
Securities transactions entered into but not settled at the balance sheet date(195,875)(0.7)%(137,578)(0.5)%(148,725)(0.6)%(72,018)(0.3)%(68,747)(0.3)%
Total investable assets held by the Company$26,338,599 100.0 %$26,856,295 100.0 %$25,724,501 100.0 %$24,531,194 100.0 %$22,375,852 100.0 %
Average effective duration (in years)2.71 3.01 3.21 3.18 3.19  
Average S&P/Moody’s credit ratings (5) AA-/Aa3  AA/Aa2  AA/Aa2  AA/Aa2  AA/Aa2  
Embedded book yield (before investment expenses)1.59 %1.56 %1.71 %1.85 %2.34 % 

(1)    Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Watford). See ‘Comments on Regulation G’ for a further discussion of the presentation of ‘core’ results. Such amounts are summarized as follows:
Investable assets in ‘other’ segment:
Cash$236,164 $211,451 $195,333 $107,653 $96,580 
Investments accounted for using the fair value option1,880,770 1,790,385 1,937,036 1,886,676 1,732,086 
Fixed maturities available for sale, at fair value586,431 613,503 608,022 649,765 677,869 
Equity securities, at fair value62,314 52,410 52,807 62,443 63,169 
Securities sold but not yet purchased(34,097)(21,679)(24,909)(29,289)(30,076)
Securities transactions entered into but not settled at the balance sheet date8,846 11,542 (74,837)(35,958)(37,039)
Total investable assets included in ‘other’ segment$2,740,428 $2,657,612 $2,693,452 $2,641,290 $2,502,589 
(2)    This table excludes the collateral received and reinvested and includes the securities pledged under securities lending agreements, at fair value.
(3)    Included in “other investments” on the balance sheet.
(4)    Changes in the carrying value of investment funds accounted for using the equity method are recorded as “equity in net income (loss) of investment funds accounted for using the equity method” rather than as an unrealized gain or loss component of accumulated other comprehensive income.
(5)    Average credit ratings on the Company’s investment portfolio on securities with ratings assigned by Standard & Poor’s (“S&P”) and Moody’s Investors Service (“Moody’s”).
22

Arch Capital Group Ltd. and Subsidiaries
Investment Information — Composition of Net Investment Income, Yield and Total Return

The following table summarizes the Company’s net investment income, yield and total return (1):
(U.S. Dollars in thousands, except share data)Three Months Ended
 March 31,December 31,September 30,June 30,March 31,
 20212020202020202020
Composition of net investment income (1):     
Fixed maturities$79,017 $80,942 $84,608 $91,491 $101,763 
Equity securities (dividends)5,650 9,695 6,659 6,023 5,630 
Short-term investments644 1,129 1,162 897 3,385 
Other (2)15,559 15,053 24,594 17,825 20,479 
Gross investment income100,870 106,819 117,023 116,236 131,257 
Investment expenses(22,141)(18,827)(17,166)(15,205)(18,229)
Net investment income$78,729 $87,992 $99,857 $101,031 $113,028 
Per share$0.19 $0.21 $0.24 $0.25 $0.27 
Investment income yield, at amortized cost (1) (3):
Pre-tax1.31 %1.45 %1.76 %1.92 %2.20 %
After-tax1.14 %1.26 %1.57 %1.68 %1.91 %
Total return on investments (1) (4)(0.18)%2.46 %2.30 %3.72 %(0.86)%

(1)Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Watford). See ‘Comments on Regulation G’ for a further discussion of the presentation of ‘core’ results.
(2)Amounts include dividends and other distributions on investment funds, term loan investments funds held balances, cash balances and other.
(3)Presented on an annualized basis and excluding the impact of investments for which returns are not included within investment income, such as investments accounted for using the equity method and certain equities.
(4)Total return on investments includes net investment income, equity in net income or loss of investment funds accounted for using the equity method, net realized gains and losses (excluding changes in allowance for credit loses on non-investment related financial assets) and the change in unrealized gains or losses and is calculated on a pre-tax basis and before investment expenses. See ‘Comments on Regulation G’ for a further discussion of the presentation of total return on investments.

23

Arch Capital Group Ltd. and Subsidiaries
Investment Information — Composition of Fixed Maturities
 
The following table summarizes the Company’s fixed maturities and fixed maturities pledged under securities lending agreements (1):
(U.S. Dollars in thousands)

Fair
Value
Gross
Unrealized
Gains
Gross
Unrealized
Losses
Net
Unrealized
Gains (Losses)
Allowance
for Credit Losses
Amortized
Cost
Fair Value /
Amortized Cost
Fair Value
% of Total
At March 31, 2021
Corporates$8,233,771 $238,003 $(80,196)$157,807 $(1,968)$8,077,932 101.9 %44.2 %
U.S. government and government agencies4,876,796 14,346 (30,300)(15,954)— 4,892,750 99.7 %26.2 %
Municipal bonds455,550 19,849 (4,814)15,035 (2)440,517 103.4 %2.4 %
Non-U.S. government securities2,287,921 118,874 (18,392)100,482 (51)2,187,490 104.6 %12.3 %
Asset-backed securities1,958,152 18,038 (4,099)13,939 (878)1,945,091 100.7 %10.5 %
Commercial mortgage-backed securities256,598 2,755 (1,721)1,034 (5)255,569 100.4 %1.4 %
Residential mortgage-backed securities558,584 7,065 (10,905)(3,840)(319)562,743 99.3 %3.0 %
Total$18,627,372 $418,930 $(150,427)$268,503 $(3,223)$18,362,092 101.4 %100.0 %
At December 31, 2020
Corporates$8,039,745 $405,071 $(30,666)$374,405 $(700)$7,666,040 104.9 %42.8 %
U.S. government and government agencies5,354,863 21,490 (12,587)8,903 — 5,345,960 100.2 %28.5 %
Municipal bonds492,734 27,189 (3,835)23,354 (11)469,391 105.0 %2.6 %
Non-U.S. government securities2,310,157 143,054 (7,958)135,096 — 2,175,061 106.2 %12.3 %
Asset-backed securities1,566,188 18,689 (7,635)11,054 (1,090)1,556,224 100.6 %8.3 %
Commercial mortgage-backed securities390,990 8,722 (2,954)5,768 (122)385,344 101.5 %2.1 %
Residential mortgage-backed securities616,619 8,934 (4,280)4,654 (278)612,243 100.7 %3.3 %
Total$18,771,296 $633,149 $(69,915)$563,234 $(2,201)$18,210,263 103.1 %100.0 %
 
(1)    Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Watford). See ‘Comments on Regulation G’ for a further discussion of the presentation of ‘core’ results.


24

Arch Capital Group Ltd. and Subsidiaries
Investment Information — Credit Quality Distribution and Maturity Profile

The following table summarizes the credit quality distribution and maturity profile of the Company’s fixed maturities and fixed maturities pledged under securities lending agreements (1):
(U.S. Dollars in thousands)March 31,December 31,September 30,June 30,March 31,
20212020202020202020
Credit quality distribution of total fixed maturities (2) (3):
U.S. government and government agencies (4)$5,432,191 29.2 %$5,963,758 31.8 %$5,360,798 29.3 %$5,566,339 32.0 %$4,804,048 28.8 %
AAA3,145,642 16.9 %3,117,046 16.6 %3,352,902 18.3 %3,035,513 17.5 %3,486,700 20.9 %
AA2,069,764 11.1 %2,063,738 11.0 %2,087,245 11.4 %1,818,693 10.5 %1,994,127 12.0 %
A3,878,113 20.8 %3,760,280 20.0 %3,895,053 21.3 %4,232,245 24.3 %3,937,053 23.6 %
BBB2,829,202 15.2 %2,699,201 14.4 %2,542,233 13.9 %1,874,332 10.8 %1,565,912 9.4 %
BB622,448 3.3 %574,189 3.1 %504,570 2.8 %406,342 2.3 %366,759 2.2 %
B331,144 1.8 %268,095 1.4 %231,774 1.3 %211,638 1.2 %205,181 1.2 %
Lower than B57,659 0.3 %54,795 0.3 %54,118 0.3 %51,273 0.3 %51,712 0.3 %
Not rated261,209 1.4 %270,194 1.4 %265,787 1.5 %195,290 1.1 %271,893 1.6 %
Total fixed maturities, at fair value$18,627,372 100.0 %$18,771,296 100.0 %$18,294,480 100.0 %$17,391,665 100.0 %$16,683,385 100.0 %
Maturity profile of total fixed maturities (2):
Due in one year or less$376,026 2.0 %$327,899 1.7 %$314,243 1.7 %$350,520 2.0 %$459,191 2.8 %
Due after one year through five years10,913,524 58.6 %10,424,114 55.5 %9,744,246 53.3 %9,730,262 55.9 %9,381,924 56.2 %
Due after five years through ten years4,054,083 21.8 %4,901,382 26.1 %4,861,677 26.6 %4,342,055 25.0 %3,416,637 20.5 %
Due after 10 years510,405 2.7 %544,104 2.9 %602,120 3.3 %467,099 2.7 %555,462 3.3 %
15,854,038 85.1 %16,197,499 86.3 %15,522,286 84.8 %14,889,936 85.6 %13,813,214 82.8 %
Mortgage-backed securities558,584 3.0 %616,619 3.3 %703,393 3.8 %593,799 3.4 %449,024 2.7 %
Commercial mortgage-backed securities256,598 1.4 %390,990 2.1 %375,510 2.1 %396,813 2.3 %781,417 4.7 %
Asset-backed securities1,958,152 10.5 %1,566,188 8.3 %1,693,291 9.3 %1,511,117 8.7 %1,639,730 9.8 %
Total fixed maturities, at fair value$18,627,372 100.0 %$18,771,296 100.0 %$18,294,480 100.0 %$17,391,665 100.0 %$16,683,385 100.0 %

(1)    Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Watford). See ‘Comments on Regulation G’ for a further discussion of the presentation of ‘core’ results.
(2)    This table excludes the collateral received and reinvested and includes the fixed maturities pledged under securities lending agreements, at fair value.
(3)     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.
(4)     Includes U.S. government-sponsored agency mortgage backed securities and agency commercial mortgage backed securities.


25

Arch Capital Group Ltd. and Subsidiaries
Investment Information — Analysis of Corporate Exposures

The following table summarizes the Company’s corporate bonds by sector (1):
(U.S. Dollars in thousands)
March 31,December 31,September 30,June 30,March 31,
20212020202020202020
Sector:
Industrials$4,744,615 57.6 %$4,940,996 61.5 %$5,303,089 65.2 %$4,650,615 63.6 %$3,903,927 58.5 %
Financials2,868,957 34.8 %2,432,719 30.3 %2,156,871 26.5 %2,164,859 29.6 %2,400,415 35.9 %
Utilities521,551 6.3 %584,869 7.3 %562,939 6.9 %409,778 5.6 %321,022 4.8 %
Covered bonds2,029 0.0 %2,013 0.0 %2,072 0.0 %1,974 0.0 %2,662 0.0 %
All other (2)96,619 1.2 %79,148 1.0 %112,611 1.4 %82,190 1.1 %49,981 0.7 %
Total$8,233,771 100.0 %$8,039,745 100.0 %$8,137,582 100.0 %$7,309,416 100.0 %$6,678,007 100.0 %
Credit quality distribution (3):
AAA$151,195 1.8 %$220,584 2.7 %$291,154 3.6 %$76,923 1.1 %$86,420 1.3 %
AA961,880 11.7 %995,742 12.4 %1,068,945 13.1 %894,495 12.2 %982,202 14.7 %
A3,431,522 41.7 %3,313,349 41.2 %3,478,591 42.7 %3,834,480 52.5 %3,480,871 52.1 %
BBB2,684,300 32.6 %2,574,823 32.0 %2,427,829 29.8 %1,773,620 24.3 %1,451,807 21.7 %
BB582,086 7.1 %540,397 6.7 %478,445 5.9 %388,112 5.3 %348,848 5.2 %
B312,362 3.8 %258,035 3.2 %224,644 2.8 %205,342 2.8 %198,828 3.0 %
Lower than B33,667 0.4 %30,625 0.4 %30,423 0.4 %27,865 0.4 %22,869 0.3 %
Not rated76,759 0.9 %106,190 1.3 %137,551 1.7 %108,579 1.5 %106,162 1.6 %
Total$8,233,771 100.0 %$8,039,745 100.0 %$8,137,582 100.0 %$7,309,416 100.0 %$6,678,007 100.0 %

(1)    Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Watford). See ‘Comments on Regulation G’ for a further discussion of the presentation of ‘core’ results.
(2)    Includes sovereign securities, supranational securities and other.
(3)    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.

The following table summarizes the Company’s top ten exposures to fixed income corporate issuers by fair value at March 31, 2021 (1):
(U.S. Dollars in thousands)Fair
Value
% of Asset Class% of Investable AssetsCredit Quality (2)
Issuer:
JPMorgan Chase & Co.$389,799 4.7 %1.5 %A-/A2
Bank of America Corporation312,603 3.8 %1.2 %A-/A2
Wells Fargo & Company237,410 2.9 %0.9 %BBB+/A2
Citigroup Inc.231,573 2.8 %0.9 %BBB+/A3
Morgan Stanley214,190 2.6 %0.8 %BBB+/A1
The Goldman Sachs Group, Inc.174,407 2.1 %0.7 %BBB+/A2
Nestlé S.A.158,152 1.9 %0.6 %AA-/Aa3
Apple Inc.131,135 1.6 %0.5 %AA+/Aa1
Chevron Corporation110,767 1.3 %0.4 %AA-/Aa2
AT&T Inc.103,918 1.3 %0.4 %BBB/Baa2
Total$2,063,954 25.1 %7.8 %
 
(1)    Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Watford). See ‘Comments on Regulation G’ for a further discussion of the presentation of ‘core’ results.
(2)    Average credit ratings assigned by S&P and Moody’s, respectively.

26

Arch Capital Group Ltd. and Subsidiaries
Investment Information — Structured Securities

The following table provides the composition of the Company’s structured securities at March 31, 2021 (1):

(U.S. Dollars in thousands)AgenciesAAAAAABBBNon-Investment GradeTotal
      
Residential mortgage-backed securities$525,144 $1,262 $310 $— $55 $31,813 $558,584 
Commercial mortgage-backed securities30,251 172,991 5,098 13,741 9,302 25,215 256,598 
Asset-backed securities— 1,241,394 141,043 301,948 80,689 193,078 1,958,152 
Total$555,395 $1,415,647 $146,451 $315,689 $90,046 $250,106 $2,773,334 

(1)    Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Watford). See ‘Comments on Regulation G’ for a further discussion of the presentation of ‘core’ results.


27

Arch Capital Group Ltd. and Subsidiaries
Comments on Regulation G
Throughout this financial supplement, the Company presents its operations in the way it believes will be the most meaningful and useful to investors, analysts, rating agencies and others who use the Company’s financial information in evaluating the performance of the 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 (which includes changes in the allowance for credit losses on financial assets and 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, and transaction costs and other, net of income taxes, and the use of annualized operating return on average common equity. The presentation of after-tax operating income available to Arch common shareholders and annualized operating return on average common equity are non-GAAP financial measures as defined in Regulation G. The reconciliation of such measures to net income available to Arch common shareholders and annualized return on average common equity (the most directly comparable GAAP financial measures) in accordance with Regulation G is included on the following page.
The Company believes that net realized gains or losses, equity in net income or loss of investment funds accounted for using the equity method, net foreign exchange gains or losses and transaction costs and other in any particular period are not indicative of the performance of, or trends in, the Company’s business performance. Although net realized gains or losses, 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 the Company’s 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 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 the Company’s financial information believe that, for many companies, the timing of the realization of investment gains or losses is largely opportunistic. In addition, changes in the allowance for credit losses and net impairment losses recognized in earnings on the Company’s investments represent other-than-temporary declines in expected recovery values on securities without actual realization. The use of the equity method on certain of the Company’s 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 the Company’s proportionate share of the net income or loss of the funds (which include changes in the fair value of the underlying securities in the funds). This method of accounting is different from the way the Company accounts for its 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 and Watford’s non-recurring listing expenses. The Company believes that transaction costs and other, due to their non-recurring nature, are not indicative of the performance of, or trends in, the Company’s business performance. Due to these reasons, the Company excludes net realized gains or losses, equity in net income or loss of investment funds accounted for using the equity method, net foreign exchange gains or losses and transaction costs and other from the calculation of after-tax operating income or loss available to Arch common shareholders.
The Company believes that showing net income available to Arch common shareholders exclusive of the items referred to above reflects the underlying fundamentals of the Company’s business since the Company evaluates the performance of and manages its business to produce an underwriting profit. In addition to presenting net income available to Arch common shareholders, the Company believes that this presentation enables investors and other users of the Company’s financial information to analyze the Company’s performance in a manner similar to how the Company’s management analyzes performance. The Company also believes that this measure follows industry practice and, therefore, allows the users of the Company’s financial information to compare the Company’s performance with its industry peer group. The Company believes that the equity analysts and certain rating agencies which follow the Company and the insurance industry as a whole generally exclude these items from their analyses for the same reasons.
In addition, the Company’s presentation includes the use of information prepared on a ‘core’ basis, which excludes amounts related to the ‘other’ segment (i.e., results of Watford). Information provided on a ‘core’ basis are non-GAAP financial measures as defined in Regulation G. Pursuant to generally accepted accounting principles, Watford is considered a variable interest entity and the Company concluded that it is the primary beneficiary of Watford. As such, the Company consolidates the results of Watford in its consolidated financial statements, although it only owns approximately 10% of Watford’s outstanding common equity. Watford has its own management and board of directors that is responsible for its own results and profitability. In addition, the Company does not guarantee or provide credit support for Watford. Because Watford is an independent company, the assets of Watford can be used only to settle obligations of Watford and Watford is solely responsible for its own liabilities and commitments. The Company’s financial exposure to Watford is limited to its investment in Watford’s senior notes, common and preferred shares and counterparty credit risk (mitigated by collateral) arising from the reinsurance transactions. The Company believes that presenting information on a ‘core’ basis enables investors and other users of the Company’s financial information to analyze the Company’s performance in a manner similar to how the Company’s management analyzes performance. See ‘Segment Information’ for a further discussion of segment results and a reconciliation of core and consolidated results.
The Company’s segment information includes the presentation of consolidated underwriting income or loss and a subtotal of underwriting income or loss on a ‘core’ basis. Such measures represent the pre-tax profitability of the Company’s 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 the Company’s individual underwriting operations. Underwriting income or loss does not incorporate items included in the Company’s corporate (non-underwriting) segment. While these measures are presented in the Segment Information footnote to the Company’s 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 ‘core’ basis, in accordance with Regulation G, is shown on pages 10 to 11.
In addition, the Company’s segment information includes the use of a combined ratio excluding catastrophic activity and prior year development, for the insurance and reinsurance segments, and a combined ratio excluding prior year development, for the mortgage segment. These ratios are non-GAAP financial measures as defined in Regulation G. The reconciliation of such measures to the combined ratio (the most directly comparable GAAP financial measure) in accordance with Regulation G are shown on the individual segment pages. The Company’s management utilizes the adjusted combined ratios excluding current accident year catastrophic events and favorable or adverse development in prior year loss reserves in its analysis of the underwriting performance of each of its 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 (excluding changes in the allowance for credit losses on non-investment related financial assets) 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. Management uses total return on investments as a key measure of the return generated to Arch common shareholders, and compares the return generated by the Company’s investment portfolio against benchmark returns during the periods presented.
28

Arch Capital Group Ltd. and Subsidiaries
Operating Income Reconciliation and Annualized Operating Return on Average Common Equity
The following table summarizes the Company’s consolidated financial data, including a reconciliation of net income (loss) available to Arch common shareholders to after-tax operating income (loss) available to Arch common shareholders and related diluted per share results. Each line item reflects the impact of the Company’s ownership of Watford’s outstanding common equity:
(U.S. Dollars in thousands, except share data)Three Months Ended
 March 31,December 31,September 30,June 30,March 31,
 20212020202020202020
Net income available to Arch common shareholders$427,753 $533,141 $408,636 $288,418 $133,714 
Net realized (gains) losses(105,551)(297,801)(219,726)(406,645)109,364 
Equity in net (income) loss of investment funds accounted for using the equity method(71,686)(89,286)(126,735)65,119 4,209 
Net foreign exchange (gains) losses(21,332)63,588 39,462 42,032 (64,491)
Transaction costs and other1,274 4,718 1,674 977 2,595 
Income tax expense (benefit) (1)9,311 16,057 17,010 26,713 4,365 
After-tax operating income available to Arch common shareholders$239,769 $230,417 $120,321 $16,614 $189,756 
Diluted per common share results:
Net income available to Arch common shareholders$1.05 $1.30 $1.00 $0.71 $0.32 
Net realized (gains) losses(0.25)(0.72)(0.54)(1.00)0.27 
Equity in net (income) loss of investment funds accounted for using the equity method(0.18)(0.22)(0.31)0.16 0.01 
Net foreign exchange (gains) losses(0.05)0.15 0.10 0.10 (0.16)
Transaction costs and other0.00 0.01 0.00 0.00 0.01 
Income tax expense (benefit) (1)0.02 0.04 0.04 0.07 0.01 
After-tax operating income available to Arch common shareholders$0.59 $0.56 $0.29 $0.04 $0.46 
Weighted average common shares and common share equivalents outstanding - diluted409,223,253 410,281,852 409,194,657 408,119,681 414,033,570 
Beginning common shareholders’ equity$12,325,886 $11,671,997 $11,211,825 $10,587,244 $10,717,371 
Ending common shareholders’ equity12,316,472 12,325,886 11,671,997 11,211,825 10,587,244 
Average common shareholders’ equity$12,321,179 $11,998,942 $11,441,911 $10,899,535 $10,652,308 
Annualized return on average common equity13.9 %17.8 %14.3 %10.6 %5.0 %
Annualized operating return on average common equity7.8 %7.7 %4.2 %0.6 %7.1 %

(1)Income tax expense on net realized gains or losses (which includes changes in the allowance for credit losses on financial assets and net impairment losses recognized in earnings), equity in net income (loss) of investment funds accounted for using the equity method, net foreign exchange gains or losses and transaction costs and other reflects the relative mix reported by jurisdiction and the varying tax rates in each jurisdiction.


29

Arch Capital Group Ltd. and Subsidiaries
Operating Income and Effective Tax Rate Calculations
The following table provides a reconciliation of income (loss) before income taxes to after-tax operating income (loss) available to Arch common shareholders and an analysis of the effective tax rate on pre-tax operating income (loss) available to Arch common shareholders:
(U.S. Dollars in thousands)Three Months Ended
March 31,December 31,September 30,June 30,March 31,
 20212020202020202020
Arch Operating Income Components (1):
Income (loss) before income taxes and income (loss) from operating affiliates$397,244 $560,146 $432,896 $305,647 $197,437 
Net realized (gains) losses(101,336)(289,817)(210,984)(385,089)72,109 
Equity in net (income) loss of investment funds accounted for using the equity method(71,686)(89,286)(126,735)65,119 4,209 
Net foreign exchange (gains) losses(21,505)62,349 38,681 42,438 (63,307)
Transaction costs and other1,390 3,086 792 43 2,538 
Income (loss) from operating affiliates
75,457 10,504 919 (3,173)8,516 
Pre-tax operating income279,564 256,982 135,569 24,985 221,502 
Arch share of ‘other’ segment operating income (loss) (2)198 1,526 1,792 1,798 2,237 
Pre-tax operating income available to Arch (b)279,762 258,508 137,361 26,783 223,739 
Income tax expense (a)(29,590)(17,688)(6,637)234 (23,580)
After-tax operating income available to Arch250,172 240,820 130,724 27,017 200,159 
Preferred dividends(10,403)(10,403)(10,403)(10,403)(10,403)
After-tax operating income available to Arch common shareholders$239,769 $230,417 $120,321 $16,614 $189,756 
Effective tax rate on pre-tax operating income (loss) available to Arch (a)/(b)10.6 %6.8 %4.8 %(0.9)%10.5 %

(1)    Line items are presented on a ‘core’ basis, excluding amounts related to the ‘other’ segment (i.e., results of Watford). See ‘Comments on Regulation G’ for a further discussion of the presentation of ‘core’ results.
(2)    Balances in the ‘other’ segment and a calculation of Arch’s share of the ‘other’ segment operating income (loss) is as follows:
(U.S. Dollars in thousands)Three Months Ended
March 31,December 31,September 30,June 30,March 31,
 20212020202020202020
Balances in ‘other’ segment:
Underwriting income (loss)$(13,079)$(8,555)$(8,273)$(9,129)$(6,010)
Net investment income20,127 26,466 28,655 30,454 32,125 
Interest expense(4,149)(4,804)(5,119)(6,009)(7,310)
Preferred dividends(972)(992)(993)(1,036)(1,096)
Pre-tax operating income (loss) available to common shareholders1,927 12,115 14,270 14,280 17,709 
Arch ownership10 %13 %13 %13 %13 %
Arch share of ‘Other’ segment operating income (loss) (3)$198 $1,526 $1,792 $1,798 $2,237 

(3) Excludes amounts attributable to net realized gains or losses and net foreign exchange gains or losses in the ‘other’ segment (see ‘Segment Information’).
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Arch Capital Group Ltd. and Subsidiaries
Capital Structure and Share Repurchase Activity
The following table provides an analysis of the Company’s capital structure (1):
(U.S. Dollars in thousands, except share data)March 31,December 31,September 30,June 30,March 31,
20212020202020202020
Debt:
Arch Capital senior notes, due May 1, 2034 ($300,000 principal, 7.35%)$300,000 $300,000 $300,000 $300,000 $300,000 
Arch-U.S. senior notes, due Nov. 1, 2043 ($500,000 principal, 5.144%) (2)500,000 500,000 500,000 500,000 500,000 
Arch Finance senior notes, due December 15, 2026 ($500,000 principal, 4.011%) (3)500,000 500,000 500,000 500,000 500,000 
Arch Finance senior notes, due December 15, 2046 ($450,000 principal, 5.031%) (3)450,000 450,000 450,000 450,000 450,000 
Arch Capital senior notes, due June 30, 2050 ($1,000,000 principal, 3.635%)1,000,000 1,000,000 1,000,000 1,000,000 — 
Deferred debt costs on senior notes(26,340)(26,577)(26,811)(26,820)(15,616)
Revolving credit agreement borrowings, due October 26, 2021 (variable)— — — — — 
Total debt$2,723,660 $2,723,423 $2,723,189 $2,723,180 $1,734,384 
Shareholders’ equity available to Arch:
Series E non-cumulative preferred shares (5.25%)450,000 450,000 450,000 450,000 450,000 
Series F non-cumulative preferred shares (5.45%)330,000 330,000 330,000 330,000 330,000 
Common shareholders’ equity (a)12,316,472 12,325,886 11,671,997 11,211,825 10,587,244 
Total shareholders’ equity available to Arch$13,096,472 $13,105,886 $12,451,997 $11,991,825 $11,367,244 
Total capital available to Arch$15,820,132 $15,829,309 $15,175,186 $14,715,005 $13,101,628 
Common shares outstanding, net of treasury shares (b)403,313,377 406,720,642 406,018,958 405,970,251 405,609,867 
Book value per common share (4) (a)/(b)$30.54 $30.31 $28.75 $27.62 $26.10 
Leverage ratios:
Senior notes/total capital available to Arch17.2 %17.2 %17.9 %18.5 %13.2 %
Revolving credit agreement borrowings/total capital available to Arch— %— %— %— %— %
Debt/total capital available to Arch17.2 %17.2 %17.9 %18.5 %13.2 %
Preferred/total capital available to Arch4.9 %4.9 %5.1 %5.3 %6.0 %
Debt and preferred/total capital available to Arch22.1 %22.1 %23.1 %23.8 %19.2 %

(1)    Presented on a ‘core’ basis which excludes amounts related to the ‘other’ segment (i.e., results of Watford). See ‘Comments on Regulation G’ for a further discussion of the presentation of ‘core’ results.
(2)    Issued by Arch Capital Group (U.S.) Inc. (“Arch-U.S.”), a wholly owned subsidiary of Arch Capital, and fully and unconditionally guaranteed by Arch Capital.
(3)    Issued by Arch Capital Finance LLC (“Arch Finance”), a wholly owned subsidiary of Arch U.S. MI Holdings Inc., and fully and unconditionally guaranteed by Arch Capital.
(4)    Excludes the effects of stock options, restricted and performance stock units outstanding.

The following table provides the impact of share repurchases under the Company’s share repurchase program:
(U.S. Dollars in thousands except share data)Three Months EndedCumulative
 March 31,December 31,September 30,June 30,March 31,March 31,
 202120202020202020202021
Effect of share repurchases:
Aggregate cost of shares repurchased$179,266 $7,986 $— $— $75,486 $4,231,032 
Shares repurchased5,308,319 250,714 — — 2,599,388 394,500,401 
Average price per share repurchased$33.77 $31.85 $— $— $29.04 $10.73 
Remaining share repurchase authorization (1)$737,262 
 
(1)    Repurchases under the share repurchase authorization may be effected from time to time in open market or privately negotiated transactions through December 31, 2021.
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