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UNITED STATES
SECURITIES AND EXCHANGE COMMISSION
Washington, D.C.  20549
 
FORM 8-K
 
Current Report Pursuant to Section 13 or 15(d)
of the Securities Exchange Act of 1934
 
July 26, 2023
Date of Report (Date of earliest event reported) 
Arch Capital Group Ltd.
(Exact name of registrant as specified in its charter)
Bermuda   001-16209   98-0374481
(State or other
jurisdiction of
incorporation or
organization)
  (Commission File Number)   (I.R.S. Employer
Identification No.)
 
Waterloo House, Ground Floor, 100 Pitts Bay Road, Pembroke HM 08, Bermuda
(Address of principal executive offices) (Zip Code)
 
Registrant’s telephone number, including area code:
(441) 278-9250
 
N/A
(Former name or former address, if changed since last report)
 
Check the appropriate box below if the Form 8-K filing is intended to simultaneously satisfy the filing obligation of the registrant under any of the following provisions (see General Instruction A.2. below):
 
☐    Written communications pursuant to Rule 425 under the Securities Act (17 CFR 230.425)
 
☐    Soliciting material pursuant to Rule 14a-12 under the Exchange Act (17 CFR 240.14a-12)
 
☐    Pre-commencement communications pursuant to Rule 14d-2(b) under the Exchange Act (17 CFR 240.14d-2(b))
 
☐    Pre-commencement communications pursuant to Rule 13e-4(c) under the Exchange Act (17 CFR 240.13e-4(c))


Securities registered pursuant to Section 12(b) of the Exchange Act:
Title of each class Trading Symbol (s) Name of each exchange on which registered
Common shares, $0.0011 par value per share ACGL NASDAQ Stock Market
Depositary shares, each representing a 1/1,000th interest in a 5.45% Series F preferred share
ACGLO
NASDAQ Stock Market
Depositary shares, each representing a 1/1,000th interest in a 4.55% Series G preferred share ACGLN NASDAQ Stock Market
Indicate by check mark whether the registrant is an emerging growth company as defined in Rule 405 of the Securities Act of 1933 (§230.405 of this chapter) or Rule 12b-2 of the Securities Exchange Act of 1934 (§240.12b-2 of this chapter).

    Emerging growth company     ☐

If an emerging growth company, indicate by check mark if the registrant has elected not to use the extended transition period for complying with any new or revised financial accounting standards provided pursuant to Section 13(a) of the Exchange Act. o ITEM 2.02 Results of Operations and Financial Condition.



 
On July 26, 2023, Arch Capital Group Ltd. issued a press release reporting its earnings and the availability of its financial supplement for the quarter ended June 30, 2023. The press release and financial supplement are attached to this Current Report on Form 8-K as Exhibit 99.1 and Exhibit 99.2, respectively, and are incorporated herein by reference.
 
The information in this Current Report on Form 8-K, including the information set forth in Exhibit 99.1 and Exhibit 99.2, shall not be deemed “filed” for purposes of Section 18 of the Securities Exchange Act of 1934, as amended (the “Exchange Act”), or incorporated by reference in any filing under the Securities Act of 1933, as amended, or the Exchange Act, except as shall be expressly set forth by specific reference in such a filing.

ITEM 9.01    Financial Statements and Exhibits.

(d):     The following exhibits are being filed herewith.
EXHIBIT NO.   DESCRIPTION
99.1  
99.2  
104 Cover Page Interactive Data File (embedded within the Inline XBRL document)
2


SIGNATURES
 
Pursuant to the requirements of the Securities Exchange Act of 1934, as amended, the registrant has duly caused this report to be signed on its behalf by the undersigned hereunto duly authorized.
 
  ARCH CAPITAL GROUP LTD.
     
     
Date: July 26, 2023 By: /s/ François Morin
    Name: François Morin
    Title: Executive Vice President, Chief Financial Officer and Treasurer


3
EX-99.1 2 ex-991release63023.htm EX-99.1 Document

EXHIBIT 99.1
archlogorgbsolida38.jpg
PRESS RELEASE Arch Capital Group Ltd.
NASDAQ Symbol: ACGL Waterloo House, Ground Floor
For Immediate Release 100 Pitts Bay Road
July 26, 2023
Pembroke HM 08 Bermuda


ARCH CAPITAL GROUP LTD. REPORTS 2023 SECOND QUARTER RESULTS

PEMBROKE, BERMUDA--(BUSINESS WIRE)--Arch Capital Group Ltd. (NASDAQ: ACGL; “Arch” or “the Company”) announces its 2023 second quarter results. The results included:
•Net income available to Arch common shareholders of $661 million, or $1.75 per share, a 19.6% annualized net income return on average common equity, compared to $394 million, or $1.04 per share, for the 2022 second quarter.
•After-tax operating income available to Arch common shareholders(1) of $726 million, or $1.92 per share, a 21.5% annualized operating return on average common equity, compared to $506 million, or $1.34 per share, for the 2022 second quarter.
•Pre-tax current accident year catastrophic losses for the Company’s insurance and reinsurance segments, net of reinsurance and reinstatement premiums (1), of $119 million.
•Favorable development in prior year loss reserves, net of related adjustments(1) of $116 million.
•Combined ratio excluding catastrophic activity and prior year development(1) of 79.7%, compared to 80.8% for the 2022 second quarter.
•Book value per common share of $37.04 at June 30, 2023, a 4.8% increase from March 31, 2023.
All earnings per share amounts discussed in this release are on a diluted basis. The following table summarizes the Company’s underwriting results:
(U.S. Dollars in millions) Three Months Ended June 30,
2023 2022 % Change
Gross premiums written $ 4,845  $ 3,870  25.2 
Net premiums written 3,428  2,685  27.7 
Net premiums earned 2,965  2,326  27.5 
Underwriting income 606  536  13.1 
Underwriting Ratios % Point Change
Loss ratio 50.3  % 47.4  % 2.9 
Underwriting expense ratio 29.5  % 29.7  % (0.2)
Combined ratio 79.8  % 77.1  % 2.7 
Combined ratio excluding catastrophic activity and prior year development (1)
79.7  % 80.8  % (1.1)
(1)    Presentation represents a “non-GAAP” financial measure as defined in Regulation G. See ‘Comments on Regulation G’ for further details.
1


The following table summarizes the Company’s consolidated financial data, including a reconciliation of net income or loss available to Arch common shareholders to after-tax operating income or loss available to Arch common shareholders and related diluted per share results (see ‘Comments on Regulation G’ for a discussion of non-GAAP financial measures):
(U.S. Dollars in millions, except per share data) Three Months Ended
June 30,
2023 2022
Net income available to Arch common shareholders $ 661  $ 394 
Net realized (gains) losses 123  267 
Equity in net (income) loss of investment funds accounted for using the equity method (69) (58)
Net foreign exchange (gains) losses (88)
Transaction costs and other — 
Income tax expense (benefit) (1) (9)
After-tax operating income available to Arch common shareholders $ 726  $ 506 
Diluted per common share results:
Net income available to Arch common shareholders $ 1.75  $ 1.04 
Net realized (gains) losses 0.33  0.70 
Equity in net (income) loss of investment funds accounted for using the equity method (0.18) (0.15)
Net foreign exchange (gains) losses 0.01  (0.23)
Transaction costs and other 0.00  0.00 
Income tax expense (benefit) (1) 0.01  (0.02)
After-tax operating income available to Arch common shareholders $ 1.92  $ 1.34 
Weighted average common shares and common share equivalents outstanding — diluted 378.4  377.9 
Beginning common shareholders’ equity $ 13,158  $ 12,090 
Ending common shareholders’ equity 13,811  11,588 
Average common shareholders’ equity $ 13,485  $ 11,839 
Annualized net income return on average common equity 19.6  % 13.3  %
Annualized operating return on average common equity 21.5  % 17.1  %
(1)    Income tax expense (benefit) on net realized gains or losses, 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.

2


Segment Information
The following section provides analysis on the Company’s 2023 second quarter performance by operating segment. For additional details regarding the Company’s operating segments, please refer to the Company’s Financial Supplement dated June 30, 2023. The Company’s segment information includes the use of underwriting income (loss) and a combined ratio excluding catastrophic activity and prior year development. Such items are non-GAAP financial measures (see ‘Comments on Regulation G’ for further details).
Insurance Segment
Three Months Ended June 30,
(U.S. Dollars in millions) 2023 2022 % Change
Gross premiums written $ 1,955  $ 1,705  14.7 
Net premiums written 1,454  1,228  18.4 
Net premiums earned 1,328  1,102  20.5 
Underwriting income $ 108  $ 97  11.3 
Underwriting Ratios % Point Change
Loss ratio 57.3  % 57.1  % 0.2 
Underwriting expense ratio 34.6  % 34.0  % 0.6 
Combined ratio 91.9  % 91.1  % 0.8 
Catastrophic activity and prior year development:
Current accident year catastrophic events, net of reinsurance and reinstatement premiums 2.6  % 1.5  % 1.1 
Net (favorable) adverse development in prior year loss reserves, net of related adjustments (0.5) % (0.4) % (0.1)
Combined ratio excluding catastrophic activity and prior year development 89.8  % 90.0  % (0.2)
Gross premiums written by the insurance segment in the 2023 second quarter were 14.7% higher than in the 2022 second quarter, while net premiums written were 18.4% higher than in the 2022 second quarter. Growth in net premiums written reflected increases in most lines of business, due in part to new business opportunities, increases in existing accounts and rate changes. In addition, the insurance segment retained more business in the 2023 second quarter than in the 2022 second quarter. Net premiums earned in the 2023 second quarter were 20.5% higher than in the 2022 second quarter, and reflect changes in net premiums written over the previous five quarters.
The 2023 second quarter loss ratio reflected 2.7 points of current year catastrophic activity, spread across a series of global events, compared to 1.2 points of catastrophic activity in the 2022 second quarter. Estimated net favorable development of prior year loss reserves, before related adjustments, reduced the loss ratio by 0.9 points in the 2023 second quarter, compared to 0.6 points in the 2022 second quarter. The improvement in the 2023 second quarter loss ratio also reflected the impact of rate increases and changes in mix of business.
The underwriting expense ratio was 34.6% in the 2023 second quarter, compared to 34.0% in the 2022 second quarter, reflecting higher acquisition expenses primarily due to lower ceding commissions received and changes in mix of business.
3


Reinsurance Segment
Three Months Ended June 30,
(U.S. Dollars in millions) 2023 2022 % Change
Gross premiums written $ 2,544  $ 1,793  41.9 
Net premiums written 1,709  1,163  46.9 
Net premiums earned 1,343  928  44.7 
Other underwriting income (loss) (40.0)
Underwriting income $ 245  $ 140  75.0 
Underwriting Ratios % Point Change
Loss ratio 55.3  % 57.9  % (2.6)
Underwriting expense ratio 26.6  % 27.5  % (0.9)
Combined ratio 81.9  % 85.4  % (3.5)
Catastrophic activity and prior year development:
Current accident year catastrophic events, net of reinsurance and reinstatement premiums 6.3  % 7.1  % (0.8)
Net (favorable) adverse development in prior year loss reserves, net of related adjustments (1.8) % (4.5) % 2.7 
Combined ratio excluding catastrophic activity and prior year development 77.4  % 82.8  % (5.4)
Gross premiums written by the reinsurance segment in the 2023 second quarter were 41.9% higher than in the 2022 second quarter, while net premiums written were 46.9% higher than in the 2022 second quarter. Growth in net premiums written primarily reflected increases in property catastrophe, property excluding property catastrophe and other specialty lines, due in part to rate increases, new business opportunities and growth in existing accounts. In addition, the 2023 second quarter net premiums written reflected a lower level of retrocession activity than in the 2022 second quarter. Net premiums earned in the 2023 second quarter were 44.7% higher than in the 2022 second quarter, and reflect changes in net premiums written over the previous five quarters.
The 2023 second quarter loss ratio reflected 6.7 points of current year catastrophic activity, spread across a series of global events, compared to 7.5 points of catastrophic activity in the 2022 second quarter. Estimated net favorable development of prior year loss reserves, before related adjustments, reduced the loss ratio by 2.2 points in the 2023 second quarter, compared to 5.0 points in the 2022 second quarter. The improvement in the 2023 second quarter loss ratio also reflected the impact of rate increases and changes in mix of business.
The underwriting expense ratio was 26.6% in the 2023 second quarter, compared to 27.5% in the 2022 second quarter, with the decrease primarily due to growth in net premiums earned.
4


Mortgage Segment
Three Months Ended June 30,
(U.S. Dollars in millions) 2023 2022 % Change
Gross premiums written $ 347  $ 372  (6.7)
Net premiums written 265  294  (9.9)
Net premiums earned 294  296  (0.7)
Other underwriting income (loss) (2) 250.0 
Underwriting income $ 253  $ 299  (15.4)
Underwriting Ratios % Point Change
Loss ratio (4.5) % (21.9) % 17.4 
Underwriting expense ratio 19.5  % 20.4  % (0.9)
Combined ratio 15.0  % (1.5) % 16.5 
Prior year development:
Net (favorable) adverse development in prior year loss reserves, net of related adjustments (28.7) % (40.7) % 12.0 
Combined ratio excluding prior year development 43.7  % 39.2  % 4.5 
Gross premiums written by the mortgage segment in the 2023 second quarter were 6.7% lower than in the 2022 second quarter, while net premiums written were 9.9% lower than in the 2022 second quarter. The reduction in gross premiums written primarily reflected lower originations in the Australian market and a decrease in U.S. primary mortgage insurance business, which was partially offset by a higher volume of credit risk transfer transactions. Net premiums written for the 2023 second quarter reflected a higher level of ceded premiums through quota share reinsurance agreements than in the 2022 second quarter. Net premiums earned in the 2023 second quarter were 0.7% lower than in the 2022 second quarter, primarily due to higher ceded premiums and a decrease in U.S. primary mortgage insurance business, which was partially offset by the growth in credit risk transfer and international business.
Estimated net favorable development of prior year loss reserves, before related adjustments, decreased the loss ratio by 27.2 points, primarily related to the U.S. first lien portfolio from the 2021 and 2022 accident years, compared to 39.9 points in the 2022 second quarter. Such amounts were primarily related to better than expected cure rates in the 2020 through 2022 accident years. The 2023 second quarter loss ratio also reflected a higher level of new delinquencies than in the 2022 second quarter.
The underwriting expense ratio was 19.5% in the 2023 second quarter, compared to 20.4% in the 2022 second quarter. The decrease was primarily due to higher profit commissions on ceded U.S. primary mortgage insurance business.

5


Corporate Segment
The corporate segment results include net investment income, net realized gains or losses (which includes realized and unrealized changes in the fair value of equity securities and assets accounted for using the fair value option, realized and unrealized gains and losses on derivative instruments and changes in the allowance for credit losses on financial assets), equity in net income or loss of investment funds accounted for using the equity method, other income (loss), corporate expenses, transaction costs and other, amortization of intangible assets, interest expense, net foreign exchange gains or losses, income taxes items, income or loss from operating affiliates and items related to the Company’s non-cumulative preferred shares.
Investment returns were as follows:
(U.S. Dollars in millions, except per share data) Three Months Ended
June 30, March 31, June 30,
2023 2023 2022
Pre-tax net investment income $ 242  $ 199  $ 106 
Per share $ 0.64  $ 0.53  $ 0.28 
Equity in net income (loss) of investment funds accounted for using the equity method $ 69  $ 48  $ 58 
Per share $ 0.18  $ 0.13  $ 0.15 
Pre-tax investment income yield, at amortized cost (1) 3.50  % 3.03  % 1.76  %
Total return on investments (2) 0.56  % 2.54  % (3.02) %
(1)    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.
(2)    Presentation represents a “non-GAAP” financial measure as defined in Regulation G. See ‘Comments on Regulation G’ for further details.
The growth in net investment income in the 2023 second quarter primarily reflected the effects of higher interest rates available in the market along with growth in invested assets which benefited from strong operating cash flows. Net realized losses were $123 million for the 2023 second quarter, compared to losses of $267 million in the 2022 second quarter, and reflected sales of investments as well as the impact of financial market movements on the Company’s equity securities and investments accounted for under the fair value option method.
On a pre-tax basis, net foreign exchange losses for the 2023 second quarter were $5 million, compared to net foreign exchange gains of $88 million for the 2022 second quarter. For both periods, such amounts were primarily unrealized and resulted from the effects of revaluing the Company’s net insurance liabilities required to be settled in foreign currencies at each balance sheet date. Changes in the value of available-for-sale investments held in foreign currencies due to foreign currency rate movements are reflected as a direct increase or decrease to shareholders’ equity and are not included in the consolidated statements of income.
The Company’s effective tax rate on income before income taxes (based on the Company’s estimated annual effective tax rate) was 9.2% for the 2023 second quarter, compared to 5.2% for the 2022 second quarter. The Company’s effective tax rate on pre-tax operating income available to Arch common shareholders was 8.0% for the 2023 second quarter, compared to 5.7% for the 2022 second quarter. The effective tax rate may fluctuate from period to period based upon the relative mix of income or loss reported by jurisdiction, the level of catastrophic loss activity incurred, and the varying tax rates in each jurisdiction.
Income from operating affiliates for the 2023 second quarter was $22 million, or $0.06 per share, compared to $5 million, or $0.01 per share, for the 2022 second quarter, and primarily reflects amounts related to the Company’s investment in Somers Group Holdings Ltd. and Coface SA.
6


Conference Call
The Company will hold a conference call for investors and analysts at 11:00 a.m. Eastern Time on July 27, 2023. A live webcast of this call will be available via the Investors section of the Company’s website at http://www.archgroup.com/investors. A recording of the webcast will be available in the Investors section of the Company’s website approximately two hours after the event concludes and will be archived on the site for one year.
Please refer to the Company’s Financial Supplement dated June 30, 2023, which is available via the Investors section of the Company’s website at http://www.archgroup.com/investors. The Financial Supplement provides additional detail regarding the financial performance of the Company. From time to time, the Company posts additional financial information and presentations to its website, including information with respect to its subsidiaries. Investors and other recipients of this information are encouraged to check the Company’s website regularly for additional information regarding the Company.
Arch Capital Group Ltd., is a publicly listed Bermuda exempted company with approximately $17.4 billion in capital at June 30, 2023. Arch, which is part of the S&P 500 index, provides insurance, reinsurance and mortgage insurance on a worldwide basis through its wholly owned subsidiaries.
Comments on Regulation G
Throughout this release, 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 and that investors and such other persons benefit from having a consistent basis for comparison between quarters and for comparison with other companies within the industry. These measures may not, however, be comparable to similarly titled measures used by companies outside of the insurance industry. Investors are cautioned not to place undue reliance on these non-GAAP financial measures in assessing the Company’s overall financial performance.
This presentation includes the use of “after-tax operating income or loss 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, 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 net income return on average common equity (the most directly comparable GAAP financial measures) in accordance with Regulation G is included on page 2 of this release.
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 these items 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 costs related to acquisitions. 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.
7


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 that follow the Company and the insurance industry as a whole generally exclude these items from their analyses for the same reasons.
The Company’s segment information includes the presentation of consolidated underwriting income or loss and a subtotal of underwriting income or loss. Such measures represent the pre-tax profitability of its 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 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, in accordance with Regulation G, is shown on the following pages.
Management measures segment performance for its three underwriting segments based on underwriting income or loss. The Company does not manage its assets by underwriting segment and, accordingly, investment income, income from operating affiliates and other corporate segment related items are not allocated to each underwriting segment.
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 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.
8


The following tables summarize the Company’s results by segment for the 2023 second quarter and 2022 second quarter and a reconciliation of underwriting income or loss to income or loss before income taxes and net income or loss available to Arch common shareholders:
(U.S. Dollars in millions) Three Months Ended
June 30, 2023
  Insurance Reinsurance Mortgage Total
Gross premiums written (1) $ 1,955  $ 2,544  $ 347  $ 4,845 
Premiums ceded (501) (835) (82) (1,417)
Net premiums written 1,454  1,709  265  3,428 
Change in unearned premiums (126) (366) 29  (463)
Net premiums earned 1,328  1,343  294  2,965 
Other underwriting income (loss) — 
Losses and loss adjustment expenses (761) (743) 13  (1,491)
Acquisition expenses (264) (290) (7) (561)
Other operating expenses (195) (68) (50) (313)
Underwriting income (loss) $ 108  $ 245  $ 253  606 
Net investment income 242 
Net realized gains (losses) (123)
Equity in net income (loss) of investment funds accounted for using the equity method 69 
Other income (loss)
Corporate expenses (2) (20)
Transaction costs and other (2) (1)
Amortization of intangible assets (24)
Interest expense (33)
Net foreign exchange gains (losses) (5)
Income (loss) before income taxes and income (loss) from operating affiliates 714 
Income tax expense (67)
Income (loss) from operating affiliates 22 
Net income (loss) 669 
Dividends attributable to redeemable noncontrolling interests
Net income (loss) available to Arch 671 
Preferred dividends (10)
Net income (loss) available to Arch common shareholders $ 661 
Underwriting Ratios
Loss ratio 57.3  % 55.3  % (4.5) % 50.3  %
Acquisition expense ratio 19.9  % 21.6  % 2.4  % 18.9  %
Other operating expense ratio 14.7  % 5.0  % 17.1  % 10.6  %
Combined ratio 91.9  % 81.9  % 15.0  % 79.8  %
Net premiums written to gross premiums written 74.4  % 67.2  % 76.4  % 70.8  %

(1)    Certain amounts included in the gross premiums written of each segment are related to intersegment transactions and are included in the gross premiums written of each segment. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.
(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.
9


(U.S. Dollars in millions) Three Months Ended
June 30, 2022
  Insurance Reinsurance Mortgage Total
Gross premiums written (1) $ 1,705  $ 1,793  $ 372  $ 3,870 
Premiums ceded (477) (630) (78) (1,185)
Net premiums written 1,228  1,163  294  2,685 
Change in unearned premiums (126) (235) (359)
Net premiums earned 1,102  928  296  2,326 
Other underwriting income (loss) —  (2)
Losses and loss adjustment expenses (630) (538) 65  (1,103)
Acquisition expenses (214) (189) (10) (413)
Other operating expenses (161) (66) (50) (277)
Underwriting income (loss) $ 97  $ 140  $ 299  536 
Net investment income 106 
Net realized gains (losses) (267)
Equity in net income (loss) of investment funds accounted for using the equity method 58 
Other income (loss) (12)
Corporate expenses (2) (28)
Transaction costs and other (2)
Amortization of intangible assets (27)
Interest expense (33)
Net foreign exchange gains (losses) 88 
Income (loss) before income taxes and income (loss) from operating affiliates 421 
Income tax expense (22)
Income (loss) from operating affiliates
Net income (loss) 404 
Dividends attributable to redeemable noncontrolling interests — 
Net income (loss) available to Arch 404 
Preferred dividends (10)
Net income (loss) available to Arch common shareholders $ 394 
Underwriting Ratios
Loss ratio 57.1  % 57.9  % (21.9) % 47.4  %
Acquisition expense ratio 19.4  % 20.4  % 3.4  % 17.8  %
Other operating expense ratio 14.6  % 7.1  % 17.0  % 11.9  %
Combined ratio 91.1  % 85.4  % (1.5) % 77.1  %
Net premiums written to gross premiums written 72.0  % 64.9  % 79.0  % 69.4  %
 
(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


Cautionary Note Regarding Forward-Looking Statements
The Private Securities Litigation Reform Act of 1995 (“PSLRA”) provides a “safe harbor” for forward-looking statements. This release or any other written or oral statements made by or on behalf of the Company 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, for purposes of the PSLRA or otherwise, can generally be identified by the use of forward-looking terminology such as “may,” “will,” “expect,” “intend,” “estimate,” “anticipate,” “believe” or “continue” and similar statements of a future or forward-looking nature or their negative or variations or similar terminology.
Forward-looking statements involve the Company’s current assessment of risks and uncertainties. Actual events and results may differ materially from those expressed or implied in these statements. Important factors that could cause actual events or results to differ materially from those indicated in such statements are discussed below and elsewhere in this release and in the Company’s periodic reports filed with the Securities and Exchange Commission (the “SEC”), and include:
•the Company’s ability to successfully implement its business strategy during “soft” as well as “hard” markets;
•acceptance of the Company’s business strategy, security and financial condition by rating agencies and regulators, as well as by brokers and its insureds and reinsureds;
•the Company’s ability to consummate acquisitions and integrate any businesses it has acquired or may acquire into its existing operations;
•the Company’s ability to maintain or improve its ratings, which may be affected by its ability to raise additional equity or debt financings, by ratings agencies’ existing or new policies and practices, as well as other factors described herein;
•general economic and market conditions (including inflation, interest rates, unemployment, housing prices, foreign currency exchange rates, prevailing credit terms and the depth and duration of a recession, including those resulting from COVID-19) and conditions specific to the reinsurance and insurance markets in which the Company operates;
•competition, including increased competition, on the basis of pricing, capacity (including alternative sources of capital), coverage terms or other factors;
•developments in the world’s financial and capital markets and the Company’s access to such markets;
•the Company’s ability to successfully enhance, integrate and maintain operating procedures (including information technology) to effectively support its current and new business;
•the loss and addition of key personnel;
•material differences between actual and expected assessments for guaranty funds and mandatory pooling arrangements;
•accuracy of those estimates and judgments utilized in the preparation of the Company’s financial statements, including those related to revenue recognition, insurance and other reserves, reinsurance recoverables, investment valuations, intangible assets, bad debts, income taxes, contingencies and litigation, and any determination to use the deposit method of accounting;
•greater than expected loss ratios on business written by the Company and adverse development on claim and/or claim expense liabilities related to business written by its insurance and reinsurance subsidiaries;
•the adequacy of the Company’s loss reserves;
•severity and/or frequency of losses;
•greater frequency or severity of unpredictable natural and man-made catastrophic events;
•claims resulting from natural or man-made catastrophic events or severe economic events in the Company’s insurance, reinsurance and mortgage businesses could cause large losses and substantial volatility in the Company’s results of operations;
•the effect of climate change on the Company’s business;
•the effect of contagious diseases (including COVID-19) on the Company’s business;
•acts of terrorism, political unrest and other hostilities or other unforecasted and unpredictable events;
•availability to the Company of reinsurance to manage its gross and net exposures and the cost of such reinsurance;
•the failure of reinsurers, managing general agents, third party administrators or others to meet their obligations to the Company;
11


•the timing of loss payments being faster or the receipt of reinsurance recoverables being slower than anticipated by the Company;
•the Company’s investment performance, including legislative or regulatory developments that may adversely affect the fair value of the Company’s investments;
•changes in general economic conditions, including new or continued sovereign debt concerns or downgrades of U.S. securities by credit rating agencies, which could affect the Company’s business, financial condition and results of operations;
•the volatility of the Company’s shareholders’ equity from foreign currency fluctuations, which could increase due to us not matching portions of the Company’s projected liabilities in foreign currencies with investments in the same currencies;
•changes in accounting principles or policies or in the Company’s application of such accounting principles or policies;
•changes in the political environment of certain countries in which the Company operates, underwrites business or invests;
•a disruption caused by cyber-attacks or other technology breaches or failures on the Company or the Company’s business partners and service providers, which could negatively impact the Company’s business and/or expose the Company to litigation;
•statutory or regulatory developments, including as to tax matters and insurance and other regulatory matters such as the adoption of proposed legislation that would affect Bermuda-headquartered companies and/or Bermuda-based insurers or reinsurers and/or changes in regulations or tax laws applicable to the Company, its subsidiaries, brokers or customers, including the possible implementation of the Organization for Economic Cooperation and Development (“OECD”) Pillar I and Pillar II initiative; and
•the other matters set forth under Item 1A “Risk Factors”, Item 7 “Management’s Discussion and Analysis of Financial Condition and Results of Operations” and other sections of the Company’s Annual Report on Form 10-K, as well as the other factors set forth in the Company’s other documents on file with the SEC, and management’s response to any of the aforementioned factors.
All subsequent written and oral forward-looking statements attributable to the Company or persons acting on its behalf are expressly qualified in their entirety by these cautionary statements. The foregoing review of important factors should not be construed as exhaustive and should be read in conjunction with other cautionary statements that are included herein or elsewhere. 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.
Contacts
Arch Capital Group Ltd. Investor Relations
François Morin: (441) 278-9250 Donald Watson: (914) 872-3616; dwatson@archgroup.com
Source - Arch Capital Group Ltd.
arch-corporate

12
EX-99.2 3 ex-992supplement63023.htm EX-99.2 Document

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


Financial Supplement
June 30, 2023
 
The following financial supplement is provided to assist in your understanding of Arch Capital Group Ltd. (“Arch”) and its subsidiaries (collectively, the “Company”).
 
This report is for informational purposes only. It should be read in conjunction with documents filed by Arch 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.archgroup.com for further information describing Arch.

arch-slantedxcontactsxblue.gif
Arch Capital Group Ltd. Investor Relations
François Morin: (441) 278-9250 Donald 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. Segment Consolidated Results
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, 2022 is derived from or agrees to audited financial information. Unless otherwise noted, all amounts are in millions, except for per share amounts and ratio information. Amounts presented have been rounded for presentation purposes and may not reconcile due to rounding differences.
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 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 and addition 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; a disruption caused by cyber-attacks or other technology breaches or failures on the Company or the Company’s business partners and service providers, which could negatively impact the Company’s business and/or expose the Company to litigation; 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:
(U.S. Dollars and shares in millions, except per share data) Three Months Ended Six Months Ended
June 30, June 30,
2023 2022 Change 2023 2022 Change
Underwriting results:
Gross premiums written $ 4,845  $ 3,870  25.2  % $ 9,625  $ 7,671  25.5  %
Net premiums written 3,428  2,685  27.7  % 6,852  5,319  28.8  %
Net premiums earned 2,965  2,326  27.5  % 5,848  4,447  31.5  %
Underwriting income (loss) (1) 606  536  13.1  % 1,176  994  18.3  %
Loss ratio 50.3  % 47.4  % 2.9  50.6  % 47.3  % 3.3 
Acquisition expense ratio 18.9  % 17.8  % 1.1  18.7  % 17.8  % 0.9 
Other operating expense ratio 10.6  % 11.9  % (1.3) 10.8  % 12.8  % (2.0)
Combined ratio 79.8  % 77.1  % 2.7  80.1  % 77.9  % 2.2 
Net investment income $ 242  $ 106  128.3  % $ 441  $ 186  137.1  %
Per diluted share $ 0.64  $ 0.28  128.6  % $ 1.17  $ 0.49  138.8  %
Net income available to Arch common shareholders $ 661  $ 394  67.8  % $ 1,366  $ 580  135.5  %
Per diluted share $ 1.75  $ 1.04  68.3  % $ 3.62  $ 1.52  138.2  %
After-tax operating income available to Arch common shareholders (1) $ 726  $ 506  43.5  % $ 1,380  $ 928  48.7  %
Per diluted share $ 1.92  $ 1.34  43.3  % $ 3.65  $ 2.44  49.6  %
Comprehensive income (loss) available to Arch $ 649  $ (204) n/m $ 1,713  $ (593) n/m
Net cash provided by operating activities $ 1,151  $ 902  27.6  % $ 2,114  $ 1,454  45.4  %
Weighted average common shares and common share equivalents outstanding — diluted 378.4  377.9  0.1  % 377.8  380.8  (0.8) %
Financial measures:            
Change in book value per common share during period 4.8  % (2.5) % 7.3  13.5  % (6.5) % 20.0 
Annualized net income return on average common equity 19.6  % 13.3  % 6.3  21.1  % 9.5  % 11.6 
Annualized operating return on average common equity (1) 21.5  % 17.1  % 4.4  21.3  % 15.3  % 6.0 
Total return on investments (2) 0.56  % (3.02) % 358 bps 3.10  % (6.00) % 909 bps
 

(1)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.
(2)Total return on investments includes 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 and shares in millions, except per share data) Three Months Ended Six Months Ended
  June 30, March 31, December 31, September 30, June 30, June 30, June 30,
  2023 2023 2022 2022 2022 2023 2022
Revenues              
Net premiums earned $ 2,965  $ 2,883  $ 2,761  $ 2,471  $ 2,326  $ 5,848  $ 4,447 
Net investment income 242  199  181  129  106  441  186 
Net realized gains (losses) (123) 17  80  (184) (267) (106) (559)
Other underwriting income 10  16 
Equity in net income (loss) of investment funds accounted for using the equity method 69  48  40  (19) 58  117  94 
Other income (loss) 11  (14) (12) 14  (21)
Total revenues 3,162  3,168  3,071  2,386  2,214  6,330  4,156 
Expenses
Losses and loss adjustment expenses (1,491) (1,471) (1,241) (1,683) (1,103) (2,962) (2,104)
Acquisition expenses (561) (533) (501) (448) (413) (1,094) (791)
Other operating expenses (313) (319) (286) (275) (277) (632) (567)
Corporate expenses (21) (30) (17) (18) (28) (51) (60)
Amortization of intangible assets (24) (23) (26) (26) (27) (47) (54)
Interest expense (33) (32) (32) (33) (33) (65) (66)
Net foreign exchange gains (losses) (5) (18) (81) 91  88  (23) 92 
Total expenses (2,448) (2,426) (2,184) (2,392) (1,793) (4,874) (3,550)
Income (loss) before income taxes and income (loss) from operating affiliates 714  742  887  (6) 421  1,456  606 
Income tax (expense) benefit (67) (64) (61) 15  (22) (131) (34)
Income (loss) from operating affiliates 22  39  36  61  30 
Net income (loss) 669  717  862  18  404  1,386  602 
Net (income) loss attributable to noncontrolling interests (2) (3) (1) —  —  (2)
Net income (loss) attributable to Arch 671  715  859  17  404  1,386  600 
Preferred dividends (10) (10) (10) (10) (10) (20) (20)
Net income (loss) available to Arch common shareholders $ 661  $ 705  $ 849  $ $ 394  $ 1,366  $ 580 
Comprehensive income (loss) available to Arch $ 649  $ 1,064  $ 1,105  $ (617) $ (204) $ 1,713  $ (593)
Net income (loss) per common share and common share equivalent
Basic $ 1.79  $ 1.92  $ 2.32  $ 0.02  $ 1.07  $ 3.71  $ 1.56 
Diluted $ 1.75  $ 1.87  $ 2.26  $ 0.02  $ 1.04  $ 3.62  $ 1.52 
Weighted average common shares and common share equivalents outstanding
Basic 368.7  367.3  365.9  365.2  369.2  368.0  371.7 
Diluted 378.4  377.6  375.9  373.8  377.9  377.8  380.8 



4

Arch Capital Group Ltd. and Subsidiaries
Consolidated Balance Sheets

(U.S. Dollars and shares in millions, except per share data) June 30, March 31, December 31, September 30, June 30,
2023 2023 2022 2022 2022
Assets          
Investments:          
Fixed maturities available for sale, at fair value $ 21,434  $ 20,692  $ 19,683  $ 18,121  $ 17,585 
Short-term investments available for sale, at fair value 1,702  1,553  1,332  1,941  2,228 
Equity securities, at fair value 911  859  860  810  773 
Other investments 1,846  1,776  1,644  1,578  1,634 
Investments accounted for using the equity method 4,073  3,896  3,774  3,566  3,496 
Total investments 29,966  28,776  27,293  26,016  25,716 
Cash 904  803  855  814  814 
Accrued investment income 233  163  159  116  116 
Investment in operating affiliates 973  1,015  965  891  968 
Premiums receivable 5,296  4,513  3,625  3,579  3,634 
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses 6,717  6,612  6,564  6,356  5,939 
Contractholder receivables 1,761  1,750  1,731  1,736  1,758 
Ceded unearned premiums 2,459  2,116  1,799  2,116  2,124 
Deferred acquisition costs 1,452  1,355  1,264  1,123  1,070 
Receivable for securities sold 97  84  12  27  157 
Goodwill and intangible assets 775  785  804  807  868 
Other assets 3,223  3,131  2,919  2,756  2,555 
Total assets $ 53,856  $ 51,103  $ 47,990  $ 46,337  $ 45,719 
Liabilities          
Reserve for losses and loss adjustment expenses $ 21,268  $ 20,758  $ 20,032  $ 19,288  $ 18,194 
Unearned premiums 9,052  8,218  7,337  7,271  7,145 
Reinsurance balances payable 2,191  1,819  1,530  1,669  1,635 
Contractholder payables 1,764  1,752  1,734  1,738  1,761 
Collateral held for insured obligations 275  252  249  255  251 
Senior notes 2,726  2,726  2,725  2,725  2,725 
Payable for securities purchased 526  262  95  175  292 
Other liabilities 1,411  1,317  1,367  1,411  1,290 
Total liabilities 39,213  37,104  35,069  34,532  33,293 
Redeemable noncontrolling interests 11  11 
Shareholders’ equity          
Non-cumulative preferred shares 830  830  830  830  830 
Common shares
Additional paid-in capital 2,278  2,260  2,211  2,187  2,170 
Retained earnings 17,258  16,597  15,892  15,043  15,036 
Accumulated other comprehensive income (loss), net of deferred income tax (1,319) (1,297) (1,646) (1,892) (1,258)
Common shares held in treasury, at cost (4,407) (4,403) (4,378) (4,373) (4,361)
Total shareholders’ equity 14,641  13,988  12,910  11,796  12,418 
Total liabilities, noncontrolling interests and shareholders’ equity $ 53,856  $ 51,103  $ 47,990  $ 46,337  $ 45,719 
Common shares and common share equivalents outstanding, net of treasury shares 372.9  372.2  370.3  369.3  369.3 
Book value per common share (1) $ 37.04  $ 35.35  $ 32.62  $ 29.69  $ 31.37 
(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 millions) Three Months Ended Six Months Ended
June 30, March 31, December 31, September 30, June 30, June 30, June 30,
2023 2023 2022 2022 2022 2023 2022
Non-cumulative preferred shares              
Balance at beginning and end of period $ 830  $ 830  $ 830  $ 830  $ 830  $ 830  $ 830 
Common shares
Balance at beginning and end of period
Additional paid-in capital
Balance at beginning of period 2,260  2,211  2,187  2,170  2,134  2,211  2,085 
Amortization of share-based compensation 17  41  14  21  58  66 
All other 16  15  19 
Balance at end of period 2,278  2,260  2,211  2,187  2,170  2,278  2,170 
Retained earnings
Balance at beginning of period 16,597  15,892  15,043  15,036  14,642  15,892  14,456 
Net income 669  717  862  18  404  1,386  602 
Amounts attributable to noncontrolling interests (2) (3) (1) —  —  (2)
Preferred share dividends (10) (10) (10) (10) (10) (20) (20)
Balance at end of period 17,258  16,597  15,892  15,043  15,036  17,258  15,036 
Accumulated other comprehensive income (loss), net of deferred income tax
Balance at beginning of period (1,297) (1,646) (1,892) (1,258) (650) (1,646) (65)
Change in unrealized appreciation (decline) in value of available-for-sale investments (24) 344  161  (564) (540) 320  (1,122)
Change in foreign currency translation adjustments 85  (70) (68) (71)
Balance at end of period (1,319) (1,297) (1,646) (1,892) (1,258) (1,319) (1,258)
Common shares held in treasury, at cost
Balance at beginning of period (4,403) (4,378) (4,373) (4,361) (4,037) (4,378) (3,761)
Shares repurchased for treasury (4) (25) (5) (12) (324) (29) (600)
Balance at end of period (4,407) (4,403) (4,378) (4,373) (4,361) (4,407) (4,361)
Total shareholders’ equity $ 14,641  $ 13,988  $ 12,910  $ 11,796  $ 12,418  $ 14,641  $ 12,418 

6

Arch Capital Group Ltd. and Subsidiaries
Consolidated Statements of Cash Flows
(U.S. Dollars in millions) Three Months Ended Six Months Ended
June 30, March 31, December 31, September 30, June 30, June 30, June 30,
2023 2023 2022 2022 2022 2023 2022
Operating Activities              
Net income (loss) $ 669  $ 717  $ 862  $ 18  $ 404  $ 1,386  $ 602 
Adjustments to reconcile net income to net cash provided by operating activities:
Net realized (gains) losses 127  (17) (91) 187  266  110  555 
Equity in net (income) or loss of investment funds accounted for using the equity method and other income or loss 17  (66) 47  63  55  (49) 44 
Amortization of intangible assets 24  23  26  26  27  47  54 
Share-based compensation 16  41  14  21  57  66 
Changes in:
Reserve for losses and loss adjustment expenses, net 417  603  336  919  359  1,020  635 
Unearned premiums, net 463  541  274  253  359  1,004  872 
Premiums receivable (777) (871) (14) (10) (485) (1,648) (1,086)
Deferred acquisition costs (77) (75) (132) (68) (77) (152) (174)
Reinsurance balances payable 373  279  (164) 56  146  652  72 
Other items, net (101) (212) (170) (78) (173) (313) (186)
Net cash provided by operating activities 1,151  963  982  1,380  902  2,114  1,454 
Investing Activities              
Purchases of fixed maturity investments (4,939) (3,901) (3,325) (3,359) (2,978) (8,840) (9,706)
Purchases of equity securities (96) (8) (10) (131) (247) (104) (656)
Purchases of other investments (291) (266) (450) (350) (304) (557) (920)
Proceeds from sales of fixed maturity investments 4,045  3,034  1,854  1,911  2,026  7,079  8,079 
Proceeds from sales of equity securities 86  75  14  50  390  161  1,490 
Proceeds from sales, redemptions and maturities of other investments 105  96  145  212  293  201  863 
Proceeds from redemptions and maturities of fixed maturity investments 188  180  137  134  203  368  444 
Net settlements of derivative instruments 32  14  37  (62) (42) 46  (44)
Net (purchases) sales of short-term investments (125) (208) 619  288  71  (333) (440)
Purchases of fixed assets (15) (11) (13) (14) (12) (26) (23)
Other (1) (3) 30  98  98 
Net cash provided by (used for) investing activities (1,005) (996) (995) (1,291) (502) (2,001) (815)
Financing Activities              
Purchases of common shares under share repurchase program —  —  —  (10) (321) —  (576)
Proceeds from common shares issued, net 18  (18) 13  —  (4)
Change in third party investment in redeemable noncontrolling interests (22) —  —  —  —  (22) — 
Other (1) (2) (1) (3) (131) (3) (82)
Preferred dividends paid (10) (10) (10) (10) (10) (20) (20)
Net cash provided by (used for) financing activities (15) (30) (2) (22) (449) (45) (682)
Effects of exchange rate changes on foreign currency cash and restricted cash 30  (37) (39) 12  (43)
Increase (decrease) in cash and restricted cash 138  (58) 15  30  (88) 80  (86)
Cash and restricted cash, beginning of period 1,215  1,273  1,258  1,228  1,316  1,273  1,314 
Cash and restricted cash, end of period $ 1,353  $ 1,215  $ 1,273  $ 1,258  $ 1,228  $ 1,353  $ 1,228 
Income taxes paid (received) $ 69  $ $ 53  $ 73  $ 120  $ 73  $ 129 
Interest paid $ 63  $ —  $ 63  $ —  $ 64  $ 63  $ 65 
7

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Overview

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 Chief Executive Officer, the Chief Financial Officer and Treasurer and the President and Chief Underwriting Officer. The chief operating decision makers do not assess performance, measure return on equity or make resource allocation decisions on a line of business basis. Management measures segment performance for its three underwriting segments based on underwriting income or loss. The Company does not manage its assets by underwriting segment 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 for middle market and large construction accounts, a comprehensive range of products for middle market accounts in specialty industries and casualty solutions for large national accounts, including loss sensitive primary insurance programs (large deductible, self-insured retention and retrospectively rated programs).
•    Excess and surplus casualty: primary and excess casualty insurance coverages written on a non-admitted basis.
•    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, cyber insurance, and medical professional and general liability insurance coverages for the healthcare industry. The business is predominately written on a claims-made basis.
•    Programs: primarily targeting program managers with unique expertise and niche products offering some combination of general liability, commercial automobile, property, inland marine, umbrella and workers’ compensation.
•    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, cargo, war, specie and liability. Aviation, standalone terrorism and political risks are also offered. Coverage may be provided for operational and construction risk.
•    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.
•Warranty and lenders solutions: 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.
•    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, commercial and transactional surety coverages.

Reinsurance Segment
The reinsurance segment consists of the Company’s reinsurance underwriting units which offer specialty product lines on a worldwide basis. Reinsurance agreements are typically offered on a proportional and/or excess of loss basis and provide coverage to ceding company clients for specific underlying written policies. Product lines include:
•Casualty: provides coverage on third party liability exposures including, among others, executive assurance, professional liability, excess and umbrella liability, excess motor and healthcare business, and workers’ compensation. Business is assumed primarily on a treaty basis, with some facultative coverages also offered.
•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 for proportional motor reinsurance, whole account multi-line treaties, cyber, trade credit and surety, accident and health, workers’ compensation catastrophe, agriculture and political risk, among others.
•Property catastrophe: provides protection for most types of catastrophic losses, including hurricane, earthquake, flood, tornado, hail and fire, and for other perils on a case-by-case basis. Excess of loss coverages are triggered 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 personal lines and/or 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 either a treaty or facultative basis.
•Other: includes life reinsurance business, 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 underwriting units which offer mortgage insurance and reinsurance products on a worldwide basis. Underwriting units include:
•U.S. primary mortgage insurance: offers private mortgage insurance through Arch Mortgage Insurance Company and United Guaranty Residential Insurance Company (combined “Arch MI U.S.”), both approved eligible mortgage insurers by Fannie Mae and Freddie Mac. Arch MI U.S. also includes Arch Mortgage Guaranty Company, which is not a government sponsored enterprise (“GSE”) approved entity.
•U.S. credit risk transfer (“CRT”) and other: underwrites CRT transactions, which are predominantly with GSEs, and other U.S. reinsurance transactions.
•International mortgage insurance/reinsurance: underwrites mortgage insurance and reinsurance outside of the U.S.
Corporate Segment
The corporate segment results include net investment income, 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, other income (loss), corporate expenses, transaction costs and other, amortization of intangible assets, interest expense, net foreign exchange gains or losses, income taxes items, income or loss from operating affiliates and items related to the Company’s non-cumulative preferred shares.
8

Arch Capital Group Ltd. and Subsidiaries
Segment Information
(U.S. Dollars in millions) Three Months Ended
June 30, 2023
  Insurance Reinsurance Mortgage Total
Gross premiums written (1) $ 1,955  $ 2,544  $ 347  $ 4,845 
Premiums ceded (501) (835) (82) (1,417)
Net premiums written 1,454  1,709  265  3,428 
Change in unearned premiums (126) (366) 29  (463)
Net premiums earned 1,328  1,343  294  2,965 
Other underwriting income (loss) — 
Losses and loss adjustment expenses (761) (743) 13  (1,491)
Acquisition expenses (264) (290) (7) (561)
Other operating expenses (195) (68) (50) (313)
Underwriting income (loss) $ 108  $ 245  $ 253  606 
Net investment income 242 
Net realized gains (losses) (123)
Equity in net income (loss) of investment funds accounted for using the equity method 69 
Other income (loss)
Corporate expenses (2) (20)
Transaction costs and other (2) (1)
Amortization of intangible assets (24)
Interest expense (33)
Net foreign exchange gains (losses) (5)
Income (loss) before income taxes and income (loss) from operating affiliates 714 
Income tax (expense) benefit (67)
Income (loss) from operating affiliates 22 
Net income (loss) 669 
Net (income) loss attributable to noncontrolling interests
Net income (loss) available to Arch 671 
Preferred dividends (10)
Net income (loss) available to Arch common shareholders $ 661 
Underwriting Ratios
Loss ratio 57.3  % 55.3  % (4.5) % 50.3  %
Acquisition expense ratio 19.9  % 21.6  % 2.4  % 18.9  %
Other operating expense ratio 14.7  % 5.0  % 17.1  % 10.6  %
Combined ratio 91.9  % 81.9  % 15.0  % 79.8  %
Net premiums written to gross premiums written 74.4  % 67.2  % 76.4  % 70.8  %
Total investable assets $ 30,441 
Total assets 53,856 
Total liabilities 39,213 

(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.
9

Arch Capital Group Ltd. and Subsidiaries
Segment Information
(U.S. Dollars in millions) Three Months Ended
June 30, 2022
  Insurance Reinsurance Mortgage Total
Gross premiums written (1) $ 1,705  $ 1,793  $ 372  $ 3,870 
Premiums ceded (477) (630) (78) (1,185)
Net premiums written 1,228  1,163  294  2,685 
Change in unearned premiums (126) (235) (359)
Net premiums earned 1,102  928  296  2,326 
Other underwriting income (loss) —  (2)
Losses and loss adjustment expenses (630) (538) 65  (1,103)
Acquisition expenses (214) (189) (10) (413)
Other operating expenses (161) (66) (50) (277)
Underwriting income (loss) $ 97  $ 140  $ 299  536 
Net investment income 106 
Net realized gains (losses) (267)
Equity in net income (loss) of investment funds accounted for using the equity method 58 
Other income (loss) (12)
Corporate expenses (2) (28)
Transaction costs and other (2) — 
Amortization of intangible assets (27)
Interest expense (33)
Net foreign exchange gains (losses) 88 
Income (loss) before income taxes and income (loss) from operating affiliates 421 
Income tax (expense) benefit (22)
Income (loss) from operating affiliates
Net income (loss) 404 
Net (income) loss attributable to noncontrolling interests — 
Net income (loss) available to Arch 404 
Preferred dividends (10)
Net income (loss) available to Arch common shareholders $ 394 
Underwriting Ratios
Loss ratio 57.1  % 57.9  % (21.9) % 47.4  %
Acquisition expense ratio 19.4  % 20.4  % 3.4  % 17.8  %
Other operating expense ratio 14.6  % 7.1  % 17.0  % 11.9  %
Combined ratio 91.1  % 85.4  % (1.5) % 77.1  %
Net premiums written to gross premiums written 72.0  % 64.9  % 79.0  % 69.4  %
Total investable assets $ 26,395 
Total assets 45,719 
Total liabilities 33,293 
(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 millions) Six Months Ended
June 30, 2023
  Insurance Reinsurance Mortgage Total
Gross premiums written (1) $ 3,934  $ 5,004  $ 690  $ 9,625 
Premiums ceded (1,043) (1,569) (164) (2,773)
Net premiums written 2,891  3,435  526  6,852 
Change in unearned premiums (306) (762) 64  (1,004)
Net premiums earned 2,585  2,673  590  5,848 
Other underwriting income (loss) —  16 
Losses and loss adjustment expenses (1,464) (1,509) 11  (2,962)
Acquisition expenses (509) (571) (14) (1,094)
Other operating expenses (390) (142) (100) (632)
Underwriting income (loss) $ 222  $ 458  $ 496  1,176 
Net investment income 441 
Net realized gains (losses) (106)
Equity in net income (loss) of investment funds accounted for using the equity method 117 
Other income (loss) 14 
Corporate expenses (2) (49)
Transaction costs and other (2) (2)
Amortization of intangible assets (47)
Interest expense (65)
Net foreign exchange gains (losses) (23)
Income (loss) before income taxes and income (loss) from operating affiliates 1,456 
Income tax (expense) benefit (131)
Income (loss) from operating affiliates 61 
Net income (loss) 1,386 
Net (income) loss attributable to noncontrolling interests — 
Net income (loss) available to Arch 1,386 
Preferred dividends (20)
Net income (loss) available to Arch common shareholders $ 1,366 
Underwriting Ratios
Loss ratio 56.6  % 56.5  % (1.9) % 50.6  %
Acquisition expense ratio 19.7  % 21.3  % 2.4  % 18.7  %
Other operating expense ratio 15.1  % 5.3  % 17.0  % 10.8  %
Combined ratio 91.4  % 83.1  % 17.5  % 80.1  %
Net premiums written to gross premiums written 73.5  % 68.6  % 76.2  % 71.2  %
 
(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
(U.S. Dollars in millions) Six Months Ended
June 30, 2022
  Insurance Reinsurance Mortgage Total
Gross premiums written (1) $ 3,425  $ 3,512  $ 737  $ 7,671 
Premiums ceded (990) (1,210) (155) (2,352)
Net premiums written 2,435  2,302  582  5,319 
Change in unearned premiums (306) (570) (872)
Net premiums earned 2,129  1,732  586  4,447 
Other underwriting income (loss) — 
Losses and loss adjustment expenses (1,231) (992) 119  (2,104)
Acquisition expenses (410) (361) (20) (791)
Other operating expenses (328) (136) (103) (567)
Underwriting income (loss) $ 160  $ 249  $ 585  994 
Net investment income 186 
Net realized gains (losses) (559)
Equity in net income (loss) of investment funds accounted for using the equity method 94 
Other income (loss) (21)
Corporate expenses (2) (60)
Transaction costs and other (2) — 
Amortization of intangible assets (54)
Interest expense (66)
Net foreign exchange gains (losses) 92 
Income (loss) before income taxes and income (loss) from operating affiliates 606 
Income tax (expense) benefit (34)
Income (loss) from operating affiliates 30 
Net income (loss) 602 
Net (income) loss attributable to noncontrolling interests (2)
Net income (loss) available to Arch 600 
Preferred dividends (20)
Net income (loss) available to Arch common shareholders $ 580 
Underwriting Ratios
Loss ratio 57.8  % 57.3  % (20.4) % 47.3  %
Acquisition expense ratio 19.2  % 20.9  % 3.5  % 17.8  %
Other operating expense ratio 15.4  % 7.8  % 17.7  % 12.8  %
Combined ratio 92.4  % 86.0  % 0.8  % 77.9  %
Net premiums written to gross premiums written 71.1  % 65.5  % 79.0  % 69.3  %
 
(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.

12

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Insurance Segment
(U.S. Dollars in millions) Three Months Ended Six Months Ended
  June 30, March 31, December 31, September 30, June 30, June 30, June 30,
  2023 2023 2022 2022 2022 2023 2022
Gross premiums written $ 1,955  $ 1,979  $ 1,644  $ 1,862  $ 1,705  $ 3,934  $ 3,425 
Premiums ceded (501) (542) (427) (493) (477) (1,043) (990)
Net premiums written 1,454  1,437  1,217  1,369  1,228  2,891  2,435 
Change in unearned premiums (126) (180) 27  (182) (126) (306) (306)
Net premiums earned 1,328  1,257  1,244  1,187  1,102  2,585  2,129 
Losses and loss adjustment expenses (761) (703) (730) (823) (630) (1,464) (1,231)
Acquisition expenses (264) (245) (244) (233) (214) (509) (410)
Other operating expenses (195) (195) (172) (165) (161) (390) (328)
Underwriting income (loss) $ 108  $ 114  $ 98  $ (34) $ 97  $ 222  $ 160 
Underwriting Ratios
Loss ratio 57.3  % 55.9  % 58.7  % 69.3  % 57.1  % 56.6  % 57.8  %
Acquisition expense ratio 19.9  % 19.5  % 19.6  % 19.6  % 19.4  % 19.7  % 19.2  %
Other operating expense ratio 14.7  % 15.5  % 13.8  % 13.9  % 14.6  % 15.1  % 15.4  %
Combined ratio 91.9  % 90.9  % 92.1  % 102.8  % 91.1  % 91.4  % 92.4  %
Catastrophic activity and prior year development:
Current accident year catastrophic events, net of reinsurance and reinstatement premiums 2.6  % 1.6  % 2.8  % 13.4  % 1.5  % 2.1  % 2.3  %
Net (favorable) adverse development in prior year loss reserves, net of related adjustments (0.5) % (0.5) % (0.3) % (0.1) % (0.4) % (0.5) % (0.3) %
Combined ratio excluding catastrophic activity and prior year development (1) 89.8  % 89.8  % 89.6  % 89.5  % 90.0  % 89.8  % 90.4  %
Net premiums written to gross premiums written 74.4  % 72.6  % 74.0  % 73.5  % 72.0  % 73.5  % 71.1  %
 
(1)See ‘Comments on Regulation G’ for further discussion.

13

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Insurance Segment
(U.S. Dollars in millions) Three Months Ended Six Months Ended
  June 30, March 31, December 31, September 30, June 30, June 30, June 30,
  2023 2023 2022 2022 2022 2023 2022
Net Premiums Written by Underwriting Unit
Professional Lines $ 342  23.5  % $ 328  22.8  % $ 393  32.3  % $ 412  30.1  % $ 349  28.4  % $ 670  23.2  % $ 697  28.6  %
Property, energy, marine and aviation 320  22.0  % 275  19.1  % 190  15.6  % 241  17.6  % 246  20.0  % 595  20.6  % 447  18.4  %
Programs 210  14.4  % 141  9.8  % 130  10.7  % 189  13.8  % 163  13.3  % 351  12.1  % 292  12.0  %
Construction and national accounts 144  9.9  % 173  12.0  % 135  11.1  % 98  7.2  % 101  8.2  % 317  11.0  % 237  9.7  %
Excess and surplus casualty 135  9.3  % 131  9.1  % 129  10.6  % 111  8.1  % 121  9.9  % 266  9.2  % 221  9.1  %
Travel, accident and health 126  8.7  % 180  12.5  % 106  8.7  % 107  7.8  % 106  8.6  % 306  10.6  % 271  11.1  %
Warranty and lenders solutions 42  2.9  % 89  6.2  % 36  3.0  % 42  3.1  % 36  2.9  % 131  4.5  % 61  2.5  %
Other 135  9.3  % 120  8.4  % 98  8.1  % 169  12.3  % 106  8.6  % 255  8.8  % 209  8.6  %
Total $ 1,454  100.0  % $ 1,437  100.0  % $ 1,217  100.0  % $ 1,369  100.0  % $ 1,228  100.0  % $ 2,891  100.0  % $ 2,435  100.0  %
Net Premiums Written by Underwriting Location
United States $ 965  66.4  % $ 893  62.1  % $ 788  64.7  % $ 916  66.9  % $ 843  68.6  % $ 1,858  64.3  % $ 1,638  67.3  %
Europe 416  28.6  % 480  33.4  % 351  28.8  % 380  27.8  % 316  25.7  % 896  31.0  % 674  27.7  %
Other 73  5.0  % 64  4.5  % 78  6.4  % 73  5.3  % 69  5.6  % 137  4.7  % 123  5.1  %
Total $ 1,454  100.0  % $ 1,437  100.0  % $ 1,217  100.0  % $ 1,369  100.0  % $ 1,228  100.0  % $ 2,891  100.0  % $ 2,435  100.0  %
Net Premiums Earned by Underwriting Unit
Professional Lines $ 355  26.7  % $ 349  27.8  % $ 368  29.6  % $ 342  28.8  % $ 314  28.5  % $ 704  27.2  % $ 604  28.4  %
Property, energy, marine and aviation 237  17.8  % 227  18.1  % 215  17.3  % 202  17.0  % 181  16.4  % 464  17.9  % 355  16.7  %
Programs 162  12.2  % 144  11.5  % 151  12.1  % 150  12.6  % 149  13.5  % 306  11.8  % 289  13.6  %
Construction and national accounts 133  10.0  % 126  10.0  % 126  10.1  % 110  9.3  % 99  9.0  % 259  10.0  % 196  9.2  %
Excess and surplus casualty 116  8.7  % 111  8.8  % 104  8.4  % 100  8.4  % 98  8.9  % 227  8.8  % 189  8.9  %
Travel, accident and health 147  11.1  % 128  10.2  % 124  10.0  % 133  11.2  % 130  11.8  % 275  10.6  % 235  11.0  %
Warranty and lenders solutions 49  3.7  % 50  4.0  % 36  2.9  % 33  2.8  % 28  2.5  % 99  3.8  % 59  2.8  %
Other 129  9.7  % 122  9.7  % 120  9.6  % 117  9.9  % 103  9.3  % 251  9.7  % 202  9.5  %
Total $ 1,328  100.0  % $ 1,257  100.0  % $ 1,244  100.0  % $ 1,187  100.0  % $ 1,102  100.0  % $ 2,585  100.0  % $ 2,129  100.0  %

14

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Reinsurance Segment
(U.S. Dollars in millions) Three Months Ended Six Months Ended
  June 30, March 31, December 31, September 30, June 30, June 30, June 30,
  2023 2023 2022 2022 2022 2023 2022
Gross premiums written $ 2,544  $ 2,460  $ 1,797  $ 1,639  $ 1,793  $ 5,004  $ 3,512 
Premiums ceded (835) (734) (254) (560) (630) (1,569) (1,210)
Net premiums written 1,709  1,726  1,543  1,079  1,163  3,435  2,302 
Change in unearned premiums (366) (396) (318) (77) (235) (762) (570)
Net premiums earned 1,343  1,330  1,225  1,002  928  2,673  1,732 
Other underwriting income (loss) (1) — 
Losses and loss adjustment expenses (743) (766) (648) (928) (538) (1,509) (992)
Acquisition expenses (290) (281) (244) (208) (189) (571) (361)
Other operating expenses (68) (74) (69) (63) (66) (142) (136)
Underwriting income (loss) $ 245  $ 213  $ 263  $ (197) $ 140  $ 458  $ 249 
Underwriting Ratios
Loss ratio 55.3  % 57.6  % 52.9  % 92.6  % 57.9  % 56.5  % 57.3  %
Acquisition expense ratio 21.6  % 21.1  % 19.9  % 20.8  % 20.4  % 21.3  % 20.9  %
Other operating expense ratio 5.0  % 5.6  % 5.6  % 6.3  % 7.1  % 5.3  % 7.8  %
Combined ratio 81.9  % 84.3  % 78.4  % 119.7  % 85.4  % 83.1  % 86.0  %
Catastrophic activity and prior year development:
Current accident year catastrophic events, net of reinsurance and reinstatement premiums 6.3  % 4.4  % —  % 39.1  % 7.1  % 5.4  % 6.9  %
Net (favorable) adverse development in prior year loss reserves, net of related adjustments (1.8) % (3.4) % (4.5) % (4.9) % (4.5) % (2.6) % (3.7) %
Combined ratio excluding catastrophic activity and prior year development (1) 77.4  % 83.3  % 82.9  % 85.5  % 82.8  % 80.3  % 82.8  %
Net premiums written to gross premiums written 67.2  % 70.2  % 85.9  % 65.8  % 64.9  % 68.6  % 65.5  %
 
(1)See ‘Comments on Regulation G’ for further discussion.



15

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Reinsurance Segment
(U.S. Dollars in millions) Three Months Ended Six Months Ended
  June 30, March 31, December 31, September 30, June 30, June 30, June 30,
  2023 2023 2022 2022 2022 2023 2022
Net Premiums Written by Underwriting Unit
Other specialty $ 479  28.0  % $ 619  35.9  % $ 803  52.0  % $ 381  35.3  % $ 435  37.4  % $ 1,098  32.0  % $ 799  34.7  %
Property catastrophe 469  27.4  % 257  14.9  % 55  3.6  % 78  7.2  % 154  13.2  % 726  21.1  % 283  12.3  %
Property excluding property catastrophe 457  26.7  % 446  25.8  % 340  22.0  % 342  31.7  % 299  25.7  % 903  26.3  % 594  25.8  %
Casualty 231  13.5  % 283  16.4  % 264  17.1  % 230  21.3  % 213  18.3  % 514  15.0  % 479  20.8  %
Marine and aviation 55  3.2  % 99  5.7  % 51  3.3  % 29  2.7  % 35  3.0  % 154  4.5  % 87  3.8  %
Other 18  1.1  % 22  1.3  % 30  1.9  % 19  1.8  % 27  2.3  % 40  1.2  % 60  2.6  %
Total $ 1,709  100.0  % $ 1,726  100.0  % $ 1,543  100.0  % $ 1,079  100.0  % $ 1,163  100.0  % $ 3,435  100.0  % $ 2,302  100.0  %
Net Premiums Written by Underwriting Location
Bermuda $ 958  56.1  % $ 899  52.1  % $ 910  59.0  % $ 521  48.3  % $ 589  50.6  % $ 1,857  54.1  % $ 1,130  49.1  %
United States 408  23.9  % 421  24.4  % 377  24.4  % 312  28.9  % 287  24.7  % 829  24.1  % 558  24.2  %
Europe and other 343  20.1  % 406  23.5  % 256  16.6  % 246  22.8  % 287  24.7  % 749  21.8  % 614  26.7  %
Total $ 1,709  100.0  % $ 1,726  100.0  % $ 1,543  100.0  % $ 1,079  100.0  % $ 1,163  100.0  % $ 3,435  100.0  % $ 2,302  100.0  %
Net Premiums Earned by Underwriting Unit
Other specialty $ 483  36.0  % $ 511  38.4  % $ 532  43.4  % $ 330  32.9  % $ 284  30.6  % $ 994  37.2  % $ 516  29.8  %
Property catastrophe 169  12.6  % 139  10.5  % 77  6.3  % 118  11.8  % 95  10.2  % 308  11.5  % 172  9.9  %
Property excluding property catastrophe 358  26.7  % 354  26.6  % 310  25.3  % 282  28.1  % 266  28.7  % 712  26.6  % 498  28.8  %
Casualty 258  19.2  % 253  19.0  % 220  18.0  % 222  22.2  % 215  23.2  % 511  19.1  % 413  23.8  %
Marine and aviation 56  4.2  % 51  3.8  % 50  4.1  % 25  2.5  % 42  4.5  % 107  4.0  % 84  4.8  %
Other 19  1.4  % 22  1.7  % 36  2.9  % 25  2.5  % 26  2.8  % 41  1.5  % 49  2.8  %
Total $ 1,343  100.0  % $ 1,330  100.0  % $ 1,225  100.0  % $ 1,002  100.0  % $ 928  100.0  % $ 2,673  100.0  % $ 1,732  100.0  %
                    
16

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Mortgage Segment
(U.S. Dollars in millions) Three Months Ended Six Months Ended
  June 30, March 31, December 31, September 30, June 30, June 30, June 30,
2023 2023 2022 2022 2022 2023 2022
Gross premiums written $ 347  $ 343  $ 356  $ 362  $ 372  $ 690  $ 737 
Premiums ceded (82) (82) (81) (86) (78) (164) (155)
Net premiums written 265  261  275  276  294  526  582 
Change in unearned premiums 29  35  17  64 
Net premiums earned 294  296  292  282  296  590  586 
Other underwriting income (2)
Losses and loss adjustment expenses 13  (2) 137  68  65  11  119 
Acquisition expenses (7) (7) (13) (7) (10) (14) (20)
Other operating expenses (50) (50) (45) (47) (50) (100) (103)
Underwriting income $ 253  $ 243  $ 373  $ 299  $ 299  $ 496  $ 585 
Underwriting Ratios
Loss ratio (4.5) % 0.6  % (46.9) % (24.1) % (21.9) % (1.9) % (20.4) %
Acquisition expense ratio 2.4  % 2.5  % 4.4  % 2.4  % 3.4  % 2.4  % 3.5  %
Other operating expense ratio 17.1  % 16.9  % 15.4  % 16.5  % 17.0  % 17.0  % 17.7  %
Combined ratio 15.0  % 20.0  % (27.1) % (5.2) % (1.5) % 17.5  % 0.8  %
Net (favorable) adverse development in prior year loss reserves, net of related adjustments (28.7) % (24.6) % (72.1) % (45.1) % (40.7) % (26.6) % (38.6) %
Combined ratio excluding prior year development (1) 43.7  % 44.6  % 45.0  % 39.9  % 39.2  % 44.1  % 39.4  %
Net premiums written to gross premiums written 76.4  % 76.1  % 77.2  % 76.2  % 79.0  % 76.2  % 79.0  %

(1)    See ‘Comments on Regulation G’ for further discussion.
17

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Mortgage Segment
(U.S. Dollars in millions) Three Months Ended Six Months Ended
  June 30, March 31, December 31, September 30, June 30, June 30, June 30,
  2023 2023 2022 2022 2022 2023 2022
Net Premiums Written by Underwriting Unit
U.S. primary mortgage insurance $ 186  70.2  % $ 186  71.3  % $ 187  68.0  % $ 185  67.0  % $ 198  67.3  % $ 372  70.7  % $ 397  68.2  %
U.S. credit risk transfer (CRT) and other 54  20.4  % 53  20.3  % 53  19.3  % 51  18.5  % 49  16.7  % 107  20.3  % 92  15.8  %
International mortgage insurance/reinsurance 25  9.4  % 22  8.4  % 35  12.7  % 40  14.5  % 47  16.0  % 47  8.9  % 93  16.0  %
Total $ 265  100.0  % $ 261  100.0  % $ 275  100.0  % $ 276  100.0  % $ 294  100.0  % $ 526  100.0  % $ 582  100.0  %
Net Premiums Written by Underwriting Location
United States $ 187  70.6  % $ 188  72.0  % $ 190  69.1  % $ 188  68.1  % $ 202  68.7  % $ 375  71.3  % $ 403  69.2  %
Other 78  29.4  % 73  28.0  % 85  30.9  % 88  31.9  % 92  31.3  % 151  28.7  % 179  30.8  %
Total $ 265  100.0  % $ 261  100.0  % $ 275  100.0  % $ 276  100.0  % $ 294  100.0  % $ 526  100.0  % $ 582  100.0  %
Net Premiums Earned by Underwriting Unit
U.S. primary mortgage insurance $ 194  66.0  % $ 196  66.2  % $ 197  67.5  % $ 194  68.8  % $ 206  69.6  % $ 390  66.1  % $ 413  70.5  %
U.S. credit risk transfer (CRT) and other 54  18.4  % 53  17.9  % 53  18.2  % 51  18.1  % 49  16.6  % 107  18.1  % 92  15.7  %
International mortgage insurance/reinsurance 46  15.6  % 47  15.9  % 42  14.4  % 37  13.1  % 41  13.9  % 93  15.8  % 81  13.8  %
Total $ 294  100.0  % $ 296  100.0  % $ 292  100.0  % $ 282  100.0  % $ 296  100.0  % $ 590  100.0  % $ 586  100.0  %

(U.S. Dollars in millions)
June 30, 2023 March 31, 2023 December 31, 2022 September 30, 2022 June 30, 2022
Insurance In Force (IIF) (1)
U.S. primary mortgage insurance $ 293,902  56.6  % $ 294,244  57.3  % $ 295,651  57.6  % $ 294,857  58.8  % $ 291,952  59.8  %
U.S. credit risk transfer (CRT) and other 154,983  29.9  % 147,731  28.8  % 145,087  28.3  % 143,897  28.7  % 129,203  26.5  %
International mortgage insurance/reinsurance 70,117  13.5  % 71,327  13.9  % 72,315  14.1  % 63,068  12.6  % 67,082  13.7  %
Total $ 519,002  100.0  % $ 513,302  100.0  % $ 513,053  100.0  % $ 501,822  100.0  % $ 488,237  100.0  %
Risk In Force (RIF) (2)
U.S. primary mortgage insurance $ 75,941  84.5  % $ 75,770  84.8  % $ 75,806  84.8  % $ 75,343  85.1  % $ 74,258  85.0  %
U.S. credit risk transfer and other 6,556  7.3  % 6,286  7.0  % 6,245  7.0  % 6,473  7.3  % 6,037  6.9  %
International mortgage insurance/reinsurance 7,385  8.2  % 7,333  8.2  % 7,369  8.2  % 6,727  7.6  % 7,103  8.1  %
Total $ 89,882  100.0  % $ 89,389  100.0  % $ 89,420  100.0  % $ 88,543  100.0  % $ 87,398  100.0  %

(1) The aggregate dollar amount of each insured mortgage loan’s current principal balance. Such amounts are shown before external reinsurance.
(2) 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 or reinsurance transactions. Such amounts are shown before external reinsurance.
18

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Mortgage Segment
The following table provides supplemental disclosures for the Company’s U.S. primary mortgage insurance operations:
(U.S. Dollars in millions)
June 30, 2023 March 31, 2023 December 31, 2022 September 30, 2022 June 30, 2022
Total RIF by credit quality (FICO score):
>=740 $ 46,978  61.9  % $ 46,788  61.8  % $ 46,812  61.8  % $ 46,538  61.8  % $ 45,612  61.4  %
680-739 25,083  33.0  % 25,016  33.0  % 24,945  32.9  % 24,671  32.7  % 24,409  32.9  %
620-679 3,622  4.8  % 3,699  4.9  % 3,772  5.0  % 3,850  5.1  % 3,942  5.3  %
<620 258  0.3  % 267  0.4  % 277  0.4  % 284  0.4  % 295  0.4  %
Total $ 75,941  100.0  % $ 75,770  100.0  % $ 75,806  100.0  % $ 75,343  100.0  % $ 74,258  100.0  %
Weighted average FICO score 748  748  750  748  747 
Total RIF by Loan-To-Value (LTV):
95.01% and above $ 7,151  9.4  % $ 7,215  9.5  % $ 7,289  9.6  % $ 7,334  9.7  % $ 7,400  10.0  %
90.01% to 95.00% 44,496  58.6  % 44,066  58.2  % 43,681  57.6  % 43,049  57.1  % 41,951  56.5  %
85.01% to 90.00% 20,627  27.2  % 20,665  27.3  % 20,851  27.5  % 20,876  27.7  % 20,718  27.9  %
85.00% and below 3,667  4.8  % 3,824  5.0  % 3,985  5.3  % 4,084  5.4  % 4,189  5.6  %
Total $ 75,941  100.0  % $ 75,770  100.0  % $ 75,806  100.0  % $ 75,343  100.0  % $ 74,258  100.0  %
Weighted average LTV 93.0  % 92.9  % 92.8  % 92.9  % 92.8  %
Total RIF by State:
California $ 6,317  8.3  % $ 6,369  8.4  % $ 6,341  8.4  % $ 6,219  8.3  % $ 6,077  8.2  %
Texas 6,159  8.1  % 6,179  8.2  % 6,151  8.1  % 6,080  8.1  % 5,971  8.0  %
North Carolina 3,239  4.3  % 3,191  4.2  % 3,160  4.2  % 3,139  4.2  % 3,075  4.1  %
Florida 3,167  4.2  % 3,225  4.3  % 3,268  4.3  % 3,275  4.3  % 3,301  4.4  %
Georgia 3,155  4.2  % 3,167  4.2  % 3,169  4.2  % 3,150  4.2  % 3,109  4.2  %
Minnesota 3,023  4.0  % 2,994  4.0  % 3,003  4.0  % 2,996  4.0  % 2,980  4.0  %
Illinois 3,010  4.0  % 3,054  4.0  % 3,081  4.1  % 3,087  4.1  % 3,054  4.1  %
Massachusetts 2,834  3.7  % 2,822  3.7  % 2,809  3.7  % 2,771  3.7  % 2,684  3.6  %
Michigan 2,661  3.5  % 2,626  3.5  % 2,618  3.5  % 2,587  3.4  % 2,558  3.4  %
Virginia 2,619  3.4  % 2,634  3.5  % 2,656  3.5  % 2,647  3.5  % 2,634  3.5  %
Other 39,757  52.4  % 39,509  52.1  % 39,550  52.2  % 39,392  52.3  % 38,815  52.3  %
Total $ 75,941  100.0  % $ 75,770  100.0  % $ 75,806  100.0  % $ 75,343  100.0  % $ 74,258  100.0  %
Weighted average coverage (end of period RIF divided by IIF) 25.8  % 25.8  % 25.6  % 25.6  % 25.4  %
U.S. mortgage insurance total RIF, net of reinsurance (1) $ 57,019  $ 57,001  $ 57,151  $ 56,890  $ 56,529 
Analysts’ persistency (2) 83.0  % 81.7  % 79.5  % 75.4  % 71.3  %
Risk-to-capital ratio -- Arch MI U.S. (3) 6.9:1 6.9:1 7.2:1 7.6:1 7.8:1
PMIER sufficiency ratio -- Arch MI U.S. (4) 245  % 248  % 236  % 237  % 219  %

(1) Total RIF for the U.S. mortgage insurance operations after external reinsurance.
(2) Represents the % of IIF at the beginning of a 12-mo. period that remained in force at the end of the period.
(3) Represents current (non-delinquent) RIF, net of reinsurance, divided by statutory capital (estimate for June 30, 2023).
(4) Calculated as available assets divided by required assets as defined within PMIERs (estimate for June 30, 2023). There was approximately $2.3 billion of excess available assets at June 30, 2023.
19

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Mortgage Segment
The following table provides supplemental disclosures for the Company’s U.S. primary mortgage insurance operations:
(U.S. Dollars in millions, except policy/loan/claim count) Three Months Ended
June 30, 2023 March 31, 2023 December 31, 2022 September 30, 2022 June 30, 2022
Total new insurance written (NIW) (1) $ 12,292  $ 10,394  $ 11,413  $ 17,425  $ 23,499 
Total NIW by credit quality (FICO score):
>=740 $ 8,151  66.3  % $ 6,672  64.2  % $ 7,155  62.7  % $ 11,615  66.7  % $ 16,121  68.6  %
680-739 3,832  31.2  % 3,490  33.6  % 3,992  35.0  % 5,322  30.5  % 6,800  28.9  %
620-679 308  2.5  % 229  2.2  % 265  2.3  % 485  2.8  % 576  2.5  %
<620 0.0  % 0.0  % 0.0  % 0.0  % 0.0  %
  Total $ 12,292  100.0  % $ 10,394  100.0  % $ 11,413  100.0  % $ 17,425  100.0  % $ 23,499  100.0  %
Total NIW by LTV:
95.01% and above $ 635  5.2  % $ 519  5.0  % $ 555  4.9  % $ 973  5.6  % $ 1,195  5.1  %
90.01% to 95.00% 6,855  55.8  % 6,043  58.1  % 6,725  58.9  % 9,916  56.9  % 13,290  56.6  %
85.01% to 90.00% 3,516  28.6  % 2,772  26.7  % 3,040  26.6  % 4,839  27.8  % 6,591  28.0  %
85.00% and below 1,286  10.5  % 1,060  10.2  % 1,093  9.6  % 1,697  9.7  % 2,423  10.3  %
  Total $ 12,292  100.0  % $ 10,394  100.0  % $ 11,413  100.0  % $ 17,425  100.0  % $ 23,499  100.0  %
Total NIW monthly vs. single:
Monthly $ 11,870  96.6  % $ 10,106  97.2  % $ 11,090  97.2  % $ 16,911  97.1  % $ 22,872  97.3  %
Single 422  3.4  % 288  2.8  % 323  2.8  % 514  2.9  % 627  2.7  %
  Total $ 12,292  100.0  % $ 10,394  100.0  % $ 11,413  100.0  % $ 17,425  100.0  % $ 23,499  100.0  %
Total NIW purchase vs. refinance:
Purchase $ 12,063  98.1  % $ 10,201  98.1  % $ 11,202  98.2  % $ 17,159  98.5  % $ 23,059  98.1  %
Refinance 229  1.9  % 193  1.9  % 211  1.8  % 266  1.5  % 440  1.9  %
  Total $ 12,292  100.0  % $ 10,394  100.0  % $ 11,413  100.0  % $ 17,425  100.0  % $ 23,499  100.0  %
Ending number of policies in force (PIF) (2) 1,138,681  1,147,081  1,160,219  1,168,735  1,168,147 
Rollforward of insured loans in default:
Beginning delinquent number of loans 18,975  20,567  20,214  20,692  24,270 
Plus: new notices 9,028  9,476  10,068  9,515  7,978 
Less: cures (9,505) (10,853) (9,564) (9,832) (11,363)
Less: paid claims (212) (215) (151) (161) (193)
Ending delinquent number of loans (2) 18,286  18,975  20,567  20,214  20,692 
Ending percentage of loans in default (2) 1.61  % 1.65  % 1.77  % 1.73  % 1.77  %
Losses:
Number of claims paid 212  215  151  161  193 
Total paid claims (in thousands) $ 5,715  $ 7,185  $ 4,547  $ 5,223  $ 5,626 
Average per claim (in thousands) $ 27.0  $ 33.4  $ 30.1  $ 32.4  $ 29.2 
Severity (3) 61.5  % 81.8  % 69.5  % 72.3  % 72.3  %
Average case reserve per default (in thousands) $ 23.1  $ 23.0  $ 21.1  $ 27.7  $ 30.3 
(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.
20

Arch Capital Group Ltd. and Subsidiaries
Segment Information — Mortgage Segment
The following table provides supplemental disclosures for the Company’s U.S. primary mortgage insurance operations:
(U.S. Dollars in millions)
June 30, 2023 December 31, 2022
Loss Reserves, Net (1) Primary IIF (2) Primary RIF (3) Delinquency Rate Loss Reserves, Net (1) Primary IIF (2) Primary RIF (3) Delinquency Rate
% of Total Total % of Total Total % of Total % of Total Total % of Total Total % of Total
Policy year:
2013 and prior 33.1  % $ 11,667  4.0  % $ 2,946  3.9  % 6.57  % 36.1  % $ 12,931  4.4  % $ 3,222  4.3  % 7.07  %
2014 1.6  % 3,170  1.1  % 863  1.1  % 2.32  % 1.9  % 3,696  1.3  % 1,012  1.3  % 2.61  %
2015 2.1  % 5,449  1.9  % 1,462  1.9  % 1.82  % 2.4  % 6,236  2.1  % 1,680  2.2  % 2.08  %
2016 5.4  % 8,518  2.9  % 2,296  3.0  % 2.40  % 5.8  % 10,225  3.5  % 2,744  3.6  % 2.66  %
2017 7.9  % 8,494  2.9  % 2,257  3.0  % 2.85  % 9.1  % 9,508  3.2  % 2,521  3.3  % 3.06  %
2018 10.8  % 9,355  3.2  % 2,410  3.2  % 3.69  % 11.6  % 10,260  3.5  % 2,625  3.5  % 4.11  %
2019 9.7  % 17,396  5.9  % 4,446  5.9  % 2.13  % 10.2  % 19,096  6.5  % 4,840  6.4  % 2.36  %
2020 11.5  % 57,659  19.6  % 14,756  19.4  % 0.94  % 11.3  % 65,141  22.0  % 16,414  21.7  % 1.20  %
2021 12.8  % 83,650  28.5  % 21,394  28.2  % 0.89  % 9.9  % 89,621  30.3  % 22,740  30.0  % 0.95  %
2022 5.0  % 66,340  22.6  % 17,352  22.8  % 0.56  % 1.7  % 68,937  23.3  % 18,008  23.8  % 0.20  %
2023 0.1  % 22,204  7.6  % 5,759  7.6  % 0.08  %
Total 100.0  % $ 293,902  100.0  % $ 75,941  100.0  % 1.61  % 100.0  % $ 295,651  100.0  % $ 75,806  100.0  % 1.77  %

(1)    Total reserves for losses and loss adjustment expenses, net of recoverables, was $403.4 million at June 30, 2023, compared to $415.2 million at December 31, 2022.
(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.


21

Arch Capital Group Ltd. and Subsidiaries
Segment Information - Consolidated

(U.S. Dollars in millions) Three Months Ended Six Months Ended
  June 30, March 31, December 31, September 30, June 30, June 30, June 30,
  2023 2023 2022 2022 2022 2023 2022
Gross premiums written $ 4,845  $ 4,780  $ 3,795  $ 3,861  $ 3,870  $ 9,625  $ 7,671 
Premiums ceded (1,417) (1,356) (760) (1,137) (1,185) (2,773) (2,352)
Net premiums written 3,428  3,424  3,035  2,724  2,685  6,852  5,319 
Change in unearned premiums (463) (541) (274) (253) (359) (1,004) (872)
Net premiums earned 2,965  2,883  2,761  2,471  2,326  5,848  4,447 
Other underwriting income (loss) 10  16 
Losses and loss adjustment expenses (1,491) (1,471) (1,241) (1,683) (1,103) (2,962) (2,104)
Acquisition expenses (561) (533) (501) (448) (413) (1,094) (791)
Other operating expenses (313) (319) (286) (275) (277) (632) (567)
Underwriting income (loss) $ 606  $ 570  $ 734  $ 68  $ 536  $ 1,176  $ 994 
Underwriting Ratios
Loss ratio 50.3  % 51.0  % 45.0  % 68.1  % 47.4  % 50.6  % 47.3  %
Acquisition expense ratio 18.9  % 18.5  % 18.1  % 18.1  % 17.8  % 18.7  % 17.8  %
Other operating expense ratio 10.6  % 11.1  % 10.4  % 11.1  % 11.9  % 10.8  % 12.8  %
Combined ratio 79.8  % 80.6  % 73.5  % 97.3  % 77.1  % 80.1  % 77.9  %
Catastrophic activity and prior year development:
Current accident year catastrophic events, net of reinsurance and reinstatement premiums 4.0  % 2.7  % 1.3  % 22.3  % 3.5  % 3.4  % 3.8  %
Net (favorable) adverse development in prior year loss reserves, net of related adjustments (3.9) % (4.3) % (9.8) % (7.2) % (7.2) % (4.1) % (6.7) %
Combined ratio excluding catastrophic activity and prior year development (1) 79.7  % 82.2  % 82.0  % 82.2  % 80.8  % 80.8  % 80.8  %
Components of losses and loss adjustment expenses incurred (1)
Paid losses and loss adjustment expenses $ 1,072  $ 867  $ 904  $ 765  $ 745  $ 1,939  $ 1,472 
Change in unpaid losses and loss adjustment expenses 419  604  337  918  358  1,023  632 
Total losses and loss adjustment expenses $ 1,491  $ 1,471  $ 1,241  $ 1,683  $ 1,103  $ 2,962  $ 2,104 
Net premiums written to gross premiums written 70.8  % 71.6  % 80.0  % 70.6  % 69.4  % 71.2  % 69.3  %
 
(1)See ‘Comments on Regulation G’ for further discussion.


22

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

(U.S. Dollars in millions) Three Months Ended Six Months Ended
  June 30, March 31, December 31, September 30, June 30, June 30, June 30,
  2023 2023 2022 2022 2022 2023 2022
Estimated net (favorable) adverse development in prior year loss reserves, net of related adjustments
Net impact on underwriting results:
Insurance $ (7) $ (7) $ (4) $ (1) $ (5) $ (14) $ (6)
Reinsurance (25) (46) (55) (49) (41) (71) (63)
Mortgage (84) (73) (211) (127) (120) (157) (226)
Total $ (116) $ (126) $ (270) $ (177) $ (166) $ (242) $ (295)
Impact on losses and loss adjustment expenses:
Insurance $ (12) $ (12) $ (6) $ (5) $ (7) $ (24) $ (14)
Reinsurance (29) (53) (63) (49) (46) (82) (78)
Mortgage (80) (71) (208) (126) (118) (151) (220)
Total $ (121) $ (136) $ (277) $ (180) $ (171) $ (257) $ (312)
Impact on acquisition expenses:
Insurance $ $ $ $ $ $ 10  $
Reinsurance —  11  15 
Mortgage (4) (2) (3) (1) (2) (6) (6)
Total $ $ 10  $ $ $ $ 15  $ 17 
Impact on combined ratio:
Insurance (0.5) % (0.5) % (0.3) % (0.1) % (0.4) % (0.5) % (0.3) %
Reinsurance (1.8) % (3.4) % (4.5) % (4.9) % (4.5) % (2.6) % (3.7) %
Mortgage (28.7) % (24.6) % (72.1) % (45.1) % (40.7) % (26.6) % (38.6) %
Total (3.9) % (4.3) % (9.8) % (7.2) % (7.2) % (4.1) % (6.7) %
Impact on loss ratio:
Insurance (0.9) % (0.9) % (0.5) % (0.5) % (0.6) % (0.9) % (0.7) %
Reinsurance (2.2) % (4.0) % (5.2) % (4.9) % (5.0) % (3.0) % (4.6) %
Mortgage (27.2) % (23.9) % (71.1) % (44.7) % (39.9) % (25.6) % (37.6) %
Total (4.1) % (4.7) % (10.0) % (7.3) % (7.4) % (4.4) % (7.0) %
Impact on acquisition expense ratio:
Insurance 0.4  % 0.4  % 0.2  % 0.4  % 0.2  % 0.4  % 0.4  %
Reinsurance 0.4  % 0.6  % 0.7  % 0.0  % 0.5  % 0.4  % 0.9  %
Mortgage (1.5) % (0.7) % (1.0) % (0.4) % (0.8) % (1.0) % (1.0) %
Total 0.2  % 0.4  % 0.2  % 0.1  % 0.2  % 0.3  % 0.3  %
Estimated net losses incurred from current accident year catastrophic events (1)
Insurance $ 35  $ 20  $ 34  $ 159  $ 16  $ 55  $ 48 
Reinsurance 84  59  —  392  66  143  120 
Total $ 119  $ 79  $ 34  $ 551  $ 82  $ 198  $ 168 
Impact on combined ratio:
Insurance 2.6  % 1.6  % 2.8  % 13.4  % 1.5  % 2.1  % 2.3  %
Reinsurance 6.3  % 4.4  % 0.0  % 39.1  % 7.1  % 5.4  % 6.9  %
Total 4.0  % 2.7  % 1.3  % 22.3  % 3.5  % 3.4  % 3.8  %
(1)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.
23

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:
(U.S. Dollars in millions) June 30, March 31, December 31, September 30, June 30,
2023 2023 2022 2022 2022
Investable assets:
Fixed maturities available for sale, at fair value $ 21,434  70.4  % $ 20,692  70.4  % $ 19,683  70.1  % $ 18,121  67.9  % $ 17,585  66.6  %
Fixed maturities—fair value option (1) 659  2.2  % 631  2.1  % 554  2.0  % 530  2.0  % 525  2.0  %
Total fixed maturities 22,093  72.6  % 21,323  72.5  % 20,237  72.1  % 18,651  69.9  % 18,110  68.6  %
Equity securities, at fair value 911  3.0  % 859  2.9  % 860  3.1  % 810  3.0  % 773  2.9  %
Equity securities—fair value option (1) 0.0  % 0.0  % 14  0.0  % 14  0.1  % 14  0.1  %
Total equity securities 918  3.0  % 866  2.9  % 874  3.1  % 824  3.1  % 787  3.0  %
Other investments—fair value option (1) 1,172  3.9  % 1,121  3.8  % 1,043  3.7  % 1,006  3.8  % 1,055  4.0  %
Investments accounted for using the equity method (2) 4,073  13.4  % 3,896  13.3  % 3,774  13.4  % 3,566  13.4  % 3,496  13.2  %
Short-term investments available for sale, at fair value 1,702  5.6  % 1,553  5.3  % 1,332  4.7  % 1,941  7.3  % 2,228  8.4  %
Short-term investments—fair value option (1) 0.0  % 17  0.1  % 33  0.1  % 28  0.1  % 40  0.2  %
Total short-term investments 1,710  5.6  % 1,570  5.3  % 1,365  4.9  % 1,969  7.4  % 2,268  8.6  %
Cash 904  3.0  % 803  2.7  % 855  3.0  % 814  3.1  % 814  3.1  %
Securities transactions entered into but not settled at the balance sheet date (429) (1.4) % (178) (0.6) % (83) (0.3) % (148) (0.6) % (135) (0.5) %
Total investable assets held by the Company $ 30,441  100.0  % $ 29,401  100.0  % $ 28,065  100.0  % $ 26,682  100.0  % $ 26,395  100.0  %
Average effective duration (in years) 3.03  2.89  2.89  2.84  2.94   
Average S&P/Moody’s credit ratings (3)  AA-/Aa3  AA-/Aa3  AA-/Aa3  AA/Aa2  AA-/Aa3  
(1)     Included in “other investments” on the balance sheet.
(2)    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.
(3)    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”).
24

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:
(U.S. Dollars in millions, except per share data) Three Months Ended Six Months Ended
  June 30, March 31, December 31, September 30, June 30, June 30, June 30,
  2023 2023 2022 2022 2022 2023 2022
Composition of net investment income:              
Fixed maturities $ 214  $ 188  $ 158  $ 124  $ 105  $ 402  $ 187 
Equity securities (dividends) 10  12 
Short-term investments 15  14  13  29 
Other (1) 25  13  18  38  20 
Gross investment income 260  219  195  146  123  479  226 
Investment expenses (18) (20) (14) (17) (17) (38) (40)
Net investment income $ 242  $ 199  $ 181  $ 129  $ 106  $ 441  $ 186 
Per share $ 0.64  $ 0.53  $ 0.48  $ 0.34  $ 0.28  $ 1.17  $ 0.49 
Equity in net income (loss) of investment funds accounted for using the equity method 69  48  40  (19) 58  117  94 
Per share $ 0.18  $ 0.13  $ 0.11  $ (0.05) $ 0.15  $ 0.31  $ 0.25 
Investment income yield, at amortized cost (2):
Pre-tax 3.50  % 3.03  % 2.80  % 2.06  % 1.76  % 3.33  % 1.54  %
After-tax 3.05  % 2.58  % 2.41  % 1.77  % 1.49  % 2.87  % 1.31  %
Total return on investments (3) 0.56  % 2.54  % 2.60  % (3.01) % (3.02) % 3.10  % (6.00) %
(1)Amounts include dividends and other distributions on investment funds, term loan investments, funds held balances, cash balances and other.
(2)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.
(3)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 allowance for credit losses 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.

25

Arch Capital Group Ltd. and Subsidiaries
Investment Information — Composition of Fixed Maturities
 
The following table summarizes the Company’s fixed maturities:
(U.S. Dollars in millions)
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 June 30, 2023
Corporates $ 10,616  $ 54  $ (693) $ (639) $ (50) $ 11,305  93.9  % 48.1  %
U.S. government and government agencies 4,537  (176) (172) —  4,709  96.3  % 20.5  %
Municipal bonds 306  (27) (26) —  332  92.2  % 1.4  %
Non-U.S. government securities 2,287  20  (204) (184) (3) 2,474  92.4  % 10.4  %
Asset-backed securities 2,405  (95) (90) (6) 2,501  96.2  % 10.9  %
Commercial mortgage-backed securities 1,082  —  (49) (49) (2) 1,133  95.5  % 4.9  %
Residential mortgage-backed securities 860  (87) (84) —  944  91.1  % 3.9  %
Total $ 22,093  $ 87  $ (1,331) $ (1,244) $ (61) $ 23,398  94.4  % 100.0  %
At December 31, 2022
Corporates $ 8,563  $ 55  $ (781) $ (726) $ (30) $ 9,319  91.9  % 42.3  %
U.S. government and government agencies 5,167  15  (343) (328) —  5,495  94.0  % 25.5  %
Municipal bonds 419  (33) (30) —  449  93.3  % 2.1  %
Non-U.S. government securities 2,317  (238) (229) (2) 2,548  90.9  % 11.4  %
Asset-backed securities 1,929  (107) (106) (6) 2,041  94.5  % 9.5  %
Commercial mortgage-backed securities 1,047  (58) (57) (3) 1,107  94.6  % 5.2  %
Residential mortgage-backed securities 795  (87) (82) —  877  90.6  % 3.9  %
Total $ 20,237  $ 89  $ (1,647) $ (1,558) $ (41) $ 21,836  92.7  % 100.0  %



26

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:
(U.S. Dollars in millions) June 30, March 31, December 31, September 30, June 30,
2023 2023 2022 2022 2022
Credit quality distribution of total fixed maturities (1):
U.S. government and government agencies (2) $ 5,282  23.9  % $ 5,274  24.7  % $ 5,831  28.8  % $ 5,746  30.8  % $ 4,892  27.0  %
AAA 3,985  18.0  % 3,826  17.9  % 3,617  17.9  % 3,345  17.9  % 3,353  18.5  %
AA 2,285  10.3  % 2,136  10.0  % 2,214  10.9  % 2,031  10.9  % 2,064  11.4  %
A 4,810  21.8  % 4,540  21.3  % 3,993  19.7  % 3,383  18.1  % 3,464  19.1  %
BBB 4,165  18.9  % 3,875  18.2  % 3,324  16.4  % 3,001  16.1  % 3,115  17.2  %
BB 770  3.5  % 711  3.3  % 560  2.8  % 532  2.9  % 552  3.0  %
B 366  1.7  % 384  1.8  % 377  1.9  % 358  1.9  % 367  2.0  %
Lower than B 16  0.1  % 18  0.1  % 12  0.1  % 12  0.1  % 0.0  %
Not rated 414  1.9  % 559  2.6  % 309  1.5  % 243  1.3  % 298  1.6  %
Total fixed maturities, at fair value $ 22,093  100.0  % $ 21,323  100.0  % $ 20,237  100.0  % $ 18,651  100.0  % $ 18,110  100.0  %
Maturity profile of total fixed maturities:
Due in one year or less $ 594  2.7  % $ 505  2.4  % $ 534  2.6  % $ 602  3.2  % $ 435  2.4  %
Due after one year through five years 12,399  56.1  % 11,739  55.1  % 11,292  55.8  % 10,284  55.1  % 9,661  53.3  %
Due after five years through ten years 4,630  21.0  % 4,616  21.6  % 4,156  20.5  % 4,032  21.6  % 4,261  23.5  %
Due after 10 years 123  0.6  % 242  1.1  % 484  2.4  % 312  1.7  % 422  2.3  %
17,746  80.3  % 17,102  80.2  % 16,466  81.4  % 15,230  81.7  % 14,779  81.6  %
Residential mortgage-backed securities 860  3.9  % 823  3.9  % 795  3.9  % 763  4.1  % 698  3.9  %
Commercial mortgage-backed securities 1,082  4.9  % 1,035  4.9  % 1,047  5.2  % 1,064  5.7  % 1,023  5.6  %
Asset-backed securities 2,405  10.9  % 2,363  11.1  % 1,929  9.5  % 1,594  8.5  % 1,610  8.9  %
Total fixed maturities, at fair value $ 22,093  100.0  % $ 21,323  100.0  % $ 20,237  100.0  % $ 18,651  100.0  % $ 18,110  100.0  %

(1)     For individual fixed maturities, S&P ratings are used. In the absence of an S&P rating, ratings from Moody’s are used, followed by ratings from Fitch Ratings.
(2)     Includes U.S. government-sponsored agency mortgage backed securities and agency commercial mortgage backed securities.


27

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

The following table summarizes the Company’s corporate bonds by sector:
(U.S. Dollars in millions) June 30, March 31, December 31, September 30, June 30,
2023 2023 2022 2022 2022
Sector:
Industrials $ 4,988  47.0  % $ 4,672  46.6  % $ 3,463  40.4  % $ 2,926  38.4  % $ 2,928  37.5  %
Financials 4,334  40.8  % 4,329  43.2  % 4,246  49.6  % 4,093  53.7  % 4,191  53.7  %
Utilities 927  8.7  % 798  8.0  % 546  6.4  % 483  6.3  % 559  7.2  %
All other (1) 367  3.5  % 223  2.2  % 308  3.6  % 117  1.5  % 133  1.7  %
Total $ 10,616  100.0  % $ 10,022  100.0  % $ 8,563  100.0  % $ 7,619  100.0  % $ 7,811  100.0  %
Credit quality distribution (2):
AAA $ 227  2.1  % $ 176  1.8  % $ 178  2.1  % $ 163  2.1  % $ 160  2.0  %
AA 913  8.6  % 869  8.7  % 767  9.0  % 824  10.8  % 784  10.0  %
A 4,197  39.5  % 3,994  39.9  % 3,266  38.1  % 2,741  36.0  % 2,797  35.8  %
BBB 3,885  36.6  % 3,628  36.2  % 3,096  36.2  % 2,834  37.2  % 2,932  37.5  %
BB 714  6.7  % 658  6.6  % 541  6.3  % 517  6.8  % 523  6.7  %
B 365  3.4  % 383  3.8  % 371  4.3  % 351  4.6  % 353  4.5  %
Lower than B 16  0.2  % 18  0.2  % 12  0.1  % 11  0.1  % 0.1  %
Not rated 299  2.8  % 296  3.0  % 332  3.9  % 178  2.3  % 258  3.3  %
Total $ 10,616  100.0  % $ 10,022  100.0  % $ 8,563  100.0  % $ 7,619  100.0  % $ 7,811  100.0  %

(1)    Includes sovereign securities, supranational securities and other.
(2)    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 June 30, 2023:
(U.S. Dollars in millions) Fair
Value
% of Asset Class % of Investable Assets Credit Quality (1)
Issuer:
Bank of America Corporation $ 388  3.7  % 1.3  % A-/A1
JPMorgan Chase & Co. 318  3.0  % 1.0  % A-/A1
Morgan Stanley 302  2.8  % 1.0  % A-/A1
Citigroup Inc. 258  2.4  % 0.8  % BBB+/A3
The Goldman Sachs Group, Inc. 247  2.3  % 0.8  % BBB+/A2
Blue Owl Capital Inc. 167  1.6  % 0.5  % BBB-/Baa3
HSBC Holdings plc 164  1.5  % 0.5  % A-/A2
Wells Fargo & Company 155  1.5  % 0.5  % BBB+/A1
Philip Morris International Inc. 147  1.4  % 0.5  % A-/A2
Blackstone Inc. 145  1.4  % 0.5  % BBB-/Baa3
Total $ 2,291  21.6  % 7.5  %
 
(1)    Average credit ratings assigned by S&P and Moody’s, respectively.

28

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

The following table provides the composition of the Company’s structured securities:
(U.S. Dollars in millions) Agencies AAA AA A BBB Non-Investment Grade Total
At June 30, 2023            
Residential mortgage-backed securities $ 727  $ 105  $ 28  $ —  $ —  $ —  $ 860 
Commercial mortgage-backed securities 17  699  175  32  88  71  1,082 
Asset-backed securities —  1,383  252  497  175  98  2,405 
Total $ 744  $ 2,187  $ 455  $ 529  $ 263  $ 169  $ 4,347 
At December 31, 2022
Residential mortgage-backed securities $ 645  $ 106  $ 28  $ —  $ —  $ 16  $ 795 
Commercial mortgage-backed securities 18  682  152  32  82  81  1,047 
Asset-backed securities —  1,135  184  350  119  141  1,929 
Total $ 663  $ 1,923  $ 364  $ 382  $ 201  $ 238  $ 3,771 
29

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, 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 net income 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. 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 these items 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. 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 that follow the Company and the insurance industry as a whole generally exclude these items from their analyses for the same reasons.
The Company’s segment information includes the presentation of consolidated underwriting income or loss and a subtotal of underwriting income or loss. 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 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, in accordance with Regulation G, is shown on pages 9 to 12.
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 the Company’s investment portfolio. Total return is calculated on a pre-tax basis and before investment expenses, 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.
30

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:
(U.S. Dollars and shares in millions, except per share data) Three Months Ended Six Months Ended
  June 30, March 31, December 31, September 30, June 30, June 30, June 30,
  2023 2023 2022 2022 2022 2023 2022
Net income available to Arch common shareholders $ 661  $ 705  $ 849  $ $ 394  $ 1,366  $ 580 
Net realized (gains) losses 123  (17) (80) 184  267  106  559 
Equity in net (income) loss of investment funds accounted for using the equity method (69) (48) (40) 19  (58) (117) (94)
Net foreign exchange (gains) losses 18  81  (91) (88) 24  (92)
Transaction costs and other (1) —  —  —  — 
Income tax expense (benefit) (1) (3) (4) (13) (9) —  (25)
After-tax operating income available to Arch common shareholders $ 726  $ 654  $ 806  $ 106  $ 506  $ 1,380  $ 928 
Diluted per common share results:
Net income available to Arch common shareholders $ 1.75  $ 1.87  $ 2.26  $ 0.02  $ 1.04  $ 3.62  $ 1.52 
Net realized (gains) losses 0.33  (0.05) (0.22) 0.48  0.70  0.28  1.47 
Equity in net (income) loss of investment funds accounted for using the equity method (0.18) (0.13) (0.11) 0.05  (0.15) (0.31) (0.25)
Net foreign exchange (gains) losses 0.01  0.05  0.22  (0.24) (0.23) 0.06  (0.24)
Transaction costs and other 0.00  0.00  0.00  0.00  0.00  0.00  0.00 
Income tax expense (benefit) (1) 0.01  (0.01) (0.01) (0.03) (0.02) 0.00  (0.06)
After-tax operating income available to Arch common shareholders $ 1.92  $ 1.73  $ 2.14  $ 0.28  $ 1.34  $ 3.65  $ 2.44 
Weighted average common shares and common share equivalents outstanding - diluted 378.4  377.6  375.9  373.8  377.9  377.8  380.8 
Beginning common shareholders’ equity $ 13,158  $ 12,080  $ 10,966  $ 11,588  $ 12,090  $ 12,080  $ 12,716 
Ending common shareholders’ equity 13,811  13,158  12,080  10,966  11,588  13,811  11,588 
Average common shareholders’ equity $ 13,485  $ 12,619  $ 11,523  $ 11,277  $ 11,839  $ 12,946  $ 12,152 
Annualized net income return on average common equity 19.6  % 22.3  % 29.5  % 0.2  % 13.3  % 21.1  % 9.5  %
Annualized operating return on average common equity 21.5  % 20.7  % 28.0  % 3.8  % 17.1  % 21.3  % 15.3  %

(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.


31

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 millions) Three Months Ended Six Months Ended
June 30, March 31, December 31, September 30, June 30, June 30, June 30,
  2023 2023 2022 2022 2022 2023 2022
Arch Operating Income Components:
Income (loss) before income taxes and income (loss) from operating affiliates $ 714  $ 742  $ 887  $ (6) $ 421  $ 1,456  $ 606 
Net realized (gains) losses 123  (17) (80) 184  267  106  559 
Equity in net (income) loss of investment funds accounted for using the equity method (69) (48) (40) 19  (58) (117) (94)
Net foreign exchange (gains) losses 18  81  (91) (88) 23  (92)
Transaction costs and other (3) (2) (1) —  (1)
Income (loss) from operating affiliates
22  39  36  61  30 
Pre-tax operating income available to Arch (b) 800  731  882  114  547  1,531  1,008 
Income tax (expense) benefit (a) (64) (67) (66) (31) (131) (60)
After-tax operating income available to Arch 736  664  816  116  516  1,400  948 
Preferred dividends (10) (10) (10) (10) (10) (20) (20)
After-tax operating income available to Arch common shareholders $ 726  $ 654  $ 806  $ 106  $ 506  $ 1,380  $ 928 
Effective tax rate on pre-tax operating income (loss) available to Arch (a)/(b) 8.0  % 9.2  % 7.5  % (1.6) % 5.7  % 8.5  % 5.9  %

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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:
(U.S. Dollars and shares in millions, except per share data) June 30, March 31, December 31, September 30, June 30,
2023 2023 2022 2022 2022
Debt:
Arch senior notes, due May 1, 2034 ($300 principal, 7.35%) $ 300  $ 300  $ 300  $ 300  $ 300 
Arch-U.S. senior notes, due Nov. 1, 2043 ($500 principal, 5.144%) (1) 500  500  500  500  500 
Arch Finance senior notes, due December 15, 2026 ($500 principal, 4.011%) (2) 500  500  500  500  500 
Arch Finance senior notes, due December 15, 2046 ($450 principal, 5.031%) (2) 450  450  450  450  450 
Arch senior notes, due June 30, 2050 ($1,000 principal, 3.635%) 1,000  1,000  1,000  1,000  1,000 
Deferred debt costs on senior notes (24) (24) (25) (25) (25)
Revolving credit agreement borrowings, due December 17, 2024 —  —  —  —  — 
Total debt $ 2,726  $ 2,726  $ 2,725  $ 2,725  $ 2,725 
Shareholders’ equity available to Arch:
Series F non-cumulative preferred shares (5.45%) 330  330  330  330  330 
Series G non-cumulative preferred shares (4.55%) 500  500  500  500  500 
Common shareholders’ equity (a) 13,811  13,158  12,080  10,966  11,588 
Total shareholders’ equity available to Arch $ 14,641  $ 13,988  $ 12,910  $ 11,796  $ 12,418 
Total capital available to Arch $ 17,367  $ 16,714  $ 15,635  $ 14,521  $ 15,143 
Common shares outstanding, net of treasury shares (b) 372.9  372.2  370.3  369.3  369.3 
Book value per common share (3) (a)/(b) $ 37.04  $ 35.35  $ 32.62  $ 29.69  $ 31.37 
Leverage ratios:
Senior notes/total capital available to Arch 15.7  % 16.3  % 17.4  % 18.8  % 18.0  %
Revolving credit agreement borrowings/total capital available to Arch —  % —  % —  % —  % —  %
Debt/total capital available to Arch 15.7  % 16.3  % 17.4  % 18.8  % 18.0  %
Preferred/total capital available to Arch 4.8  % 5.0  % 5.3  % 5.7  % 5.5  %
Debt and preferred/total capital available to Arch 20.5  % 21.3  % 22.7  % 24.5  % 23.5  %

(1)    Issued by Arch Capital Group (U.S.) Inc. (“Arch-U.S.”), a wholly owned subsidiary of Arch, and fully and unconditionally guaranteed by Arch.
(2)    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.
(3)    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 and shares in millions, except per share data) Three Months Ended Cumulative
  June 30, March 31, December 31, September 30, June 30, June 30,
  2023 2023 2022 2022 2022 2023
Effect of share repurchases:
Aggregate cost of shares repurchased $ —  $ —  $ —  $ 10  $ 321  $ 5,872 
Shares repurchased —  —  —  0.2  7.1  433.6 
Average price per share repurchased $ —  $ —  $ —  $ 42.96  $ 45.23  $ 13.54 
Remaining share repurchase authorization (1) $ 1,000 
(1)    Repurchases under the share repurchase authorization may be effected from time to time in open market or privately negotiated transactions through December 31, 2024.
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