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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 29, 2025
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 29, 2025 Arch Capital Group Ltd. issued a press release reporting its earnings and the availability of its financial supplement for the quarter ended June 30, 2025. 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 29, 2025 By: /s/ François Morin
    Name: François Morin
    Title: Executive Vice President, Chief Financial Officer and Treasurer


3
EX-99.1 2 ex-991release63025.htm EX-99.1 Document

EXHIBIT 99.1
archlogorgbsolida38a.jpg
PRESS RELEASE Arch Capital Group Ltd.
NASDAQ Symbol: ACGL Waterloo House, Ground Floor
For Immediate Release 100 Pitts Bay Road
July 29, 2025
Pembroke HM 08 Bermuda


ARCH CAPITAL GROUP LTD. REPORTS 2025 SECOND QUARTER RESULTS

PEMBROKE, BERMUDA--(BUSINESS WIRE)--Arch Capital Group Ltd. (NASDAQ: ACGL; “Arch,” “our” or “the Company”) announces its 2025 second quarter results. The results included:
•Net income available to Arch common shareholders of $1.2 billion, or $3.23 per share, representing a 22.9% annualized net income return on average common equity, compared to net income available to Arch common shareholders of $1.3 billion, or $3.30 per share, for the 2024 second quarter.
•After-tax operating income available to Arch common shareholders(1) of $979 million, or $2.58 per share, representing an 18.2% annualized operating return on average common equity(1), compared to $981 million, or $2.57 per share, for the 2024 second quarter.
•Pre-tax current accident year catastrophic losses for the Company’s insurance and reinsurance segments, net of reinsurance and reinstatement premiums, of $154 million.
•Favorable development in prior year loss reserves, net of related adjustments, of $139 million.
•Combined ratio excluding catastrophic activity and prior year development(1) of 80.9%, compared to 76.7% for the 2024 second quarter.
•Share repurchases of approximately $163 million.
•Book value per common share of $59.17 at June 30, 2025, a 7.3% increase from March 31, 2025.
“We achieved these results by staying true to our core principle of cycle management,” Arch CEO Nicolas Papadopoulo said. “This disciplined underwriting approach, paired with dynamic capital management, positions us to consistently generate superior returns across market cycles.”
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,
2025 2024 % Change
Gross premiums written $ 6,196  $ 5,382  15.1 
Net premiums written 4,348  3,781  15.0 
Net premiums earned 4,337  3,565  21.7 
Underwriting income 818  762  7.3 
Underwriting Ratios % Point Change
Loss ratio 53.1  % 51.2  % 1.9 
Underwriting expense ratio (2)
28.1  % 27.5  % 0.6 
Combined ratio 81.2  % 78.7  % 2.5 
Combined ratio excluding catastrophic activity and prior year development (1)
80.9  % 76.7  % 4.2 
(1)    See ‘Comments on Non-GAAP Financial Measures’ for further details.
(2)    The ‘Underwriting expense ratio’ for the 2025 period includes ‘Other underwriting income.’ See ‘Comments on Non-GAAP Financial Measures’ 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 Non-GAAP Financial Measures’ for further details):
(U.S. Dollars in millions, except per share data) Three Months Ended
June 30,
2025 2024
Net income available to Arch common shareholders $ 1,227  $ 1,259 
Net realized (gains) losses (1) (229) (122)
Equity in net (income) of investments accounted for using the equity method (162) (167)
Net foreign exchange (gains) losses 88  (1)
Transaction costs and other 18  18 
Income tax expense (benefit) (2) 37  (6)
After-tax operating income available to Arch common shareholders $ 979  $ 981 
Diluted per common share results:
Net income available to Arch common shareholders $ 3.23  $ 3.30 
Net realized (gains) losses (1) (0.60) (0.32)
Equity in net (income) of investments accounted for using the equity method (0.43) (0.44)
Net foreign exchange (gains) losses 0.23  0.00 
Transaction costs and other 0.05  0.05 
Income tax expense (benefit) (2) 0.10  (0.02)
After-tax operating income available to Arch common shareholders $ 2.58  $ 2.57 
Weighted average common shares and common share equivalents outstanding — diluted 379.9  381.6 
Beginning common shareholders’ equity $ 20,715  $ 18,525 
Ending common shareholders’ equity 22,211  19,835 
Average common shareholders’ equity $ 21,463  $ 19,180 
Annualized net income return on average common equity 22.9  % 26.3  %
Annualized operating return on average common equity 18.2  % 20.5  %
(1)    Net realized gains or losses include 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, changes in the allowance for credit losses on financial assets and gains and losses realized from the acquisition or disposition of subsidiaries.
(2)    Income tax expense (benefit) on net realized gains or losses, equity in net income of investments accounted for using the equity method, net foreign exchange gains or losses and transaction costs and other reflects the relative mix reported by jurisdiction and the varying tax rates in each jurisdiction.
2


Segment Information
The following section provides analysis on the Company’s 2025 second quarter performance by reportable segments. For additional details regarding the Company’s reportable segments, please refer to the Company’s Financial Supplement dated June 30, 2025. The Company’s segment information includes the use of underwriting income (loss) and a combined ratio excluding catastrophic activity and prior year development (see ‘Comments on Non-GAAP Financial Measures’ for further details).
Insurance Segment
Three Months Ended June 30,
(U.S. Dollars in millions) 2025 2024 % Change
Gross premiums written $ 2,681  $ 2,102  27.5 
Net premiums written 2,036  1,558  30.7 
Net premiums earned 1,969  1,478  33.2 
Other underwriting income 13  —   n/m
Underwriting income $ 129  $ 109  18.3 
Underwriting Ratios % Point Change
Loss ratio 59.8  % 57.3  % 2.5 
Underwriting expense ratio 33.6  % 35.3  % (1.7)
Combined ratio 93.4  % 92.6  % 0.8 
Catastrophic activity and prior year development:
Current accident year catastrophic events, net of reinsurance and reinstatement premiums 2.9  % 2.0  % 0.9 
Net (favorable) adverse development in prior year loss reserves, net of related adjustments (0.1) % (0.2) % 0.1 
Combined ratio excluding catastrophic activity and prior year development 90.6  % 90.8  % (0.2)

On August 1, 2024, the insurance segment completed the acquisition of the U.S. MidCorp and Entertainment insurance businesses from Allianz (“MCE Acquisition”). As such, the insurance segment’s 2025 second quarter results include a full quarter of activity related to the acquired business.
Gross premiums written by the insurance segment in the 2025 second quarter were 27.5% higher than in the 2024 second quarter (3.6% excluding the MCE Acquisition), while net premiums written were 30.7% higher than in the 2024 second quarter (1.7% excluding the MCE Acquisition). Net premiums earned in the 2025 second quarter were 33.2% higher than in the 2024 second quarter (6.8% excluding the MCE Acquisition), and reflect changes in net premiums written over the previous five quarters.
The 2025 second quarter loss ratio reflected 2.9 points of current year catastrophic activity, compared to 2.0 points of catastrophic activity in the 2024 second quarter. Estimated net favorable development of prior year loss reserves, before related adjustments, reduced the loss ratio by 0.4 points in the 2025 second quarter, compared to 0.3 points in the 2024 second quarter. The balance of the change in the loss ratio resulted, in part, from the impact of the MCE Acquisition business and changes in the mix of business.
The underwriting expense ratio was 33.6% in the 2025 second quarter, compared to 35.3% in the 2024 second quarter, with the decrease reflecting growth in net premiums earned. The impact of the MCE Acquisition lowered the current year underwriting expense ratio by approximately 0.6 points, due to efficiencies of scale in operating expenses and, to a lesser extent, to the effects of the fair value estimation of the assets acquired at closing, including the non-recognition of deferred acquisition costs.

3


Reinsurance Segment
Three Months Ended June 30,
(U.S. Dollars in millions) 2025 2024 % Change
Gross premiums written $ 3,196  $ 2,941  8.7 
Net premiums written 2,059  1,947  5.8 
Net premiums earned 2,087  1,780  17.2 
Other underwriting income 46   n/m
Underwriting income $ 451  $ 366  23.2 
Underwriting Ratios % Point Change
Loss ratio 54.1  % 56.5  % (2.4)
Underwriting expense ratio 24.4  % 23.0  % 1.4 
Combined ratio 78.5  % 79.5  % (1.0)
Catastrophic activity and prior year development:
Current accident year catastrophic events, net of reinsurance and reinstatement premiums 4.6  % 9.4  % (4.8)
Net (favorable) adverse development in prior year loss reserves, net of related adjustments (3.3) % (1.8) % (1.5)
Combined ratio excluding catastrophic activity and prior year development 77.2  % 71.9  % 5.3 
Gross premiums written by the reinsurance segment in the 2025 second quarter were 8.7% higher than in the 2024 second quarter, while net premiums written were 5.8% higher than in the 2024 second quarter. The growth in net premiums written primarily reflected increases in most lines of business, due in part to rate increases, new business opportunities and growth in existing accounts. Net premiums earned in the 2025 second quarter were 17.2% higher than in the 2024 second quarter, and reflect changes in net premiums written over the previous five quarters.
The 2025 second quarter loss ratio reflected 5.5 points of current year catastrophic activity, compared to 10.0 points of current year catastrophic activity in the 2024 second quarter. Estimated net favorable development of prior year loss reserves, before related adjustments, reduced the loss ratio by 3.9 points in the 2025 second quarter, compared to 1.9 points in the 2024 second quarter. The balance of the change in the loss ratio resulted, in part, from higher level of attritional losses and changes in the mix of business.
The underwriting expense ratio was 24.4% in the 2025 second quarter, compared to 23.0% in the 2024 second quarter, with the increase primarily reflecting lower profit and sliding scale commissions on ceded business in the 2025 second quarter.

4


Mortgage Segment
Three Months Ended June 30,
(U.S. Dollars in millions) 2025 2024 % Change
Gross premiums written $ 323  $ 340  (5.0)
Net premiums written 253  276  (8.3)
Net premiums earned 281  307  (8.5)
Other underwriting income 50.0 
Underwriting income $ 238  $ 287  (17.1)
Underwriting Ratios % Point Change
Loss ratio (1.2) % (8.6) % 7.4 
Underwriting expense ratio 16.4  % 16.0  % 0.4 
Combined ratio 15.2  % 7.4  % 7.8 
Prior year development:
Net (favorable) adverse development in prior year loss reserves, net of related adjustments (24.1) % (29.0) % 4.9 
Combined ratio excluding prior year development 39.3  % 36.4  % 2.9 
Gross premiums written by the mortgage segment in the 2025 second quarter were 5.0% lower than in the 2024 second quarter, while net premiums written were 8.3% lower than in the 2024 second quarter. The reduction in net premiums written in the 2025 second quarter primarily reflected a one-time expense related to the tender offer of certain Bellemeade Re mortgage insurance linked notes and a lower level of mortgage originations, mostly in our international businesses.
Estimated net favorable development of prior year loss reserves, before related adjustments, decreased the loss ratio by 22.8 points, compared to 26.9 points in the 2024 second quarter. Such amounts were primarily related to better than expected cure rates. The 2025 second quarter loss ratio, excluding net favorable development, was higher compared to the 2024 second quarter, reflecting slightly higher new delinquencies and the impact of the Bellemeade Re tender offers noted above.
The underwriting expense ratio was 16.4% in the 2025 second quarter, compared to 16.0% in the 2024 second quarter.
5


Corporate
The Company’s 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, changes in the allowance for credit losses on financial assets and gains and losses realized from the acquisition or disposition of subsidiaries), equity in net income or loss of investments 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 tax 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,
2025 2025 2024
Pre-tax net investment income $ 405  $ 378  $ 364 
Per share $ 1.07  $ 0.99  $ 0.95 
Equity in net income of investments accounted for using the equity method $ 162  $ 53  $ 167 
Per share $ 0.43  $ 0.14  $ 0.44 
Pre-tax investment income yield, at amortized cost (1) 4.25  % 4.16  % 4.39  %
Total return on investments (2) 3.09  % 2.02  % 1.33  %
(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)    See ‘Comments on Non-GAAP Financial Measures’ for further details.
Net investment income for the 2025 second quarter primarily reflected growth in average invested assets, due in part to strong operating cash flows. Net realized gains were $229 million for the 2025 second quarter, compared to $122 million in the 2024 second quarter, and were primarily the result of financial market movements on the Company’s derivatives, equity securities and investments accounted for under the fair value option method.
Amortization of intangible assets was $48 million for the 2025 second quarter, compared to $27 million for the 2024 second quarter. The higher level of expense for the 2025 second quarter reflects the amortization of intangible assets related to the MCE Acquisition, including intangible assets attributed to value of business acquired and distribution relationships.
On a pre-tax basis, net foreign exchange losses were $88 million for the 2025 second quarter, compared to net foreign exchange gains of $1 million for the 2024 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 annual effective tax rate) was 14.7% for the 2025 second quarter, compared to 7.1% for the 2024 second quarter. The Company’s effective tax rate on pre-tax operating income available to Arch common shareholders was 15.2% for the 2025 second quarter, compared to 9.5% for the 2024 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. The higher rates for the 2025 second quarter primarily reflected the impact of Bermuda’s new corporate income tax.
Income from operating affiliates for the 2025 second quarter was $40 million, or $0.11 per share, compared to $45 million, or $0.12 per share, for the 2024 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 10:00 a.m. Eastern Time on July 30, 2025. 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, 2025, 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 $25.8 billion in capital at June 30, 2025. 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 Non-GAAP Financial Measures
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 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, changes in the allowance for credit losses on financial assets and gains and losses realized from the acquisition or disposition of subsidiaries), equity in net income or loss of investments 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 investments 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 investments 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 investments accounted for using the equity method may differ from gains or losses in the future upon sale or maturity of such investments.

7


Transaction costs and other include integration, advisory, financing, legal, severance, incentive compensation and all other costs directly 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.
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 include certain income and expense items which are included in corporate. 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 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. Effective in the 2025 first quarter, the ‘Other operating expense ratio’ includes ‘Other underwriting income.’
Total return on investments includes investment income, equity in net income or loss of investments 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 2025 second quarter and 2024 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, 2025
  Insurance Reinsurance Mortgage Total
Gross premiums written (1) $ 2,681  $ 3,196  $ 323  $ 6,196 
Premiums ceded (1) (645) (1,137) (70) (1,848)
Net premiums written 2,036  2,059  253  4,348 
Change in unearned premiums (67) 28  28  (11)
Net premiums earned 1,969  2,087  281  4,337 
Other underwriting income (2) 13  46  62 
Losses and loss adjustment expenses (1,178) (1,128) (2,303)
Acquisition expenses (387) (436) (1) (824)
Other operating expenses (2) (288) (118) (48) (454)
Underwriting income (loss) $ 129  $ 451  $ 238  818 
Net investment income 405 
Net realized gains (losses) 229 
Equity in net income of investments accounted for using the equity method 162 
Other income (loss) 18 
Corporate expenses (3) (29)
Transaction costs and other (3) (18)
Amortization of intangible assets (48)
Interest expense (38)
Net foreign exchange gains (losses) (88)
Income (loss) before income taxes and income (loss) from operating affiliates 1,411 
Income tax benefit (expense) (214)
Income (loss) from operating affiliates 40 
Net income (loss) available to Arch 1,237 
Preferred dividends (10)
Net income (loss) available to Arch common shareholders $ 1,227 
Underwriting Ratios
Loss ratio 59.8  % 54.1  % (1.2) % 53.1  %
Acquisition expense ratio 19.6  % 20.9  % 0.4  % 19.0  %
Other operating expense ratio (4) 14.0  % 3.5  % 16.0  % 9.1  %
Combined ratio 93.4  % 78.5  % 15.2  % 81.2  %
Net premiums written to gross premiums written 75.9  % 64.4  % 78.3  % 70.2  %

(1)    Certain assumed and ceded amounts related to intersegment transactions are included in individual segment results. Accordingly, the sum of such transactions for each segment does not agree to the total due to eliminations.
(2)    ‘Other underwriting income’ includes revenue earned from underwriting-related activities covered under existing service contracts.
(3)    Certain expenses have been excluded from ‘Corporate expenses’ and reflected in ‘Transaction costs and other.’ See ‘Comments on Non-GAAP Financial Measures’ for a further discussion of such items.
(4)    The ‘Other operating expense ratio’ for the 2025 period includes ‘Other underwriting income.’
9


(U.S. Dollars in millions) Three Months Ended
June 30, 2024
  Insurance Reinsurance Mortgage Total
Gross premiums written (1) $ 2,102  $ 2,941  $ 340  $ 5,382 
Premiums ceded (1) (544) (994) (64) (1,601)
Net premiums written 1,558  1,947  276  3,781 
Change in unearned premiums (80) (167) 31  (216)
Net premiums earned 1,478  1,780  307  3,565 
Other underwriting income — 
Losses and loss adjustment expenses (848) (1,006) 27  (1,827)
Acquisition expenses (288) (345) —  (633)
Other operating expenses (233) (64) (49) (346)
Underwriting income (loss) $ 109  $ 366  $ 287  762 
Net investment income 364 
Net realized gains (losses) 122 
Equity in net income of investments accounted for using the equity method 167 
Other income (loss)
Corporate expenses (2) (23)
Transaction costs and other (2) (18)
Amortization of intangible assets (27)
Interest expense (35)
Net foreign exchange gains (losses)
Income (loss) before income taxes and income (loss) from operating affiliates 1,321 
Income tax benefit (expense) (97)
Income (loss) from operating affiliates 45 
Net income (loss) available to Arch 1,269 
Preferred dividends (10)
Net income (loss) available to Arch common shareholders $ 1,259 
Underwriting Ratios
Loss ratio 57.3  % 56.5  % (8.6) % 51.2  %
Acquisition expense ratio 19.5  % 19.4  % 0.1  % 17.8  %
Other operating expense ratio 15.8  % 3.6  % 15.9  % 9.7  %
Combined ratio 92.6  % 79.5  % 7.4  % 78.7  %
Net premiums written to gross premiums written 74.1  % 66.2  % 81.2  % 70.3  %
 
(1)    Certain assumed and ceded amounts related to intersegment transactions are included in individual segment results. Accordingly, the sum of such transactions for each segment does not agree to the total due to eliminations.
(2)    Certain expenses have been excluded from ‘Corporate expenses’ and reflected in ‘Transaction costs and other.’ See ‘Comments on Non-GAAP Financial Measures’ 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, tariffs and the depth and duration of a recession) 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, deferred tax assets, 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;
•availability to the Company of reinsurance to manage our 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;
•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;
11


•changes in general economic conditions, including 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;
•an incident, disruption in operations or other cyber event caused by cyber attacks, the use of artificial intelligence technologies or other technology on the Company’s systems or those of the Company’s business partners and service providers, which could negatively impact the Company’s business and/or expose the Company to litigation;
•the effect of climate change on the Company’s business;
•the effect of contagious diseases on the Company’s business;
•acts of terrorism, political unrest and other hostilities or other unforecasted and unpredictable events;
•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 operate or underwrite business;
•statutory or regulatory developments, including as to tax matters and insurance and other regulatory matters such as the adoption of legislation that affects 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 implementation of the Organization for Economic Cooperation and Development (“OECD”) Pillar I and Pillar II initiative and the enactment of the Bermuda corporate income tax; 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 for the year ended December 31, 2024, filed with the SEC on February 27, 2025 and of the Company’s latest Quarterly Reports on Form 10-Q, 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's forward-looking statements speak only as of the date of this press release or as of the date they are made, and 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-992supplement63025.htm EX-99.2 Document

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


Financial Supplement
June 30, 2025
 
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-slantedxcontactsxbluea.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 Non-GAAP Financial Measures
  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, 2024 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; 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; an incident, disruption in operations or other cyber event caused by cyber attacks, the use of artificial intelligence technologies or other technology on the Company’s systems or those of 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 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 for the year ended December 31, 2024, filed with the SEC on February 27, 2025 and of the Company’s latest Quarterly Reports on Form 10-Q, 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's forward-looking statements speak only as of the date of this press release or as of the date they are made, and 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,
2025 2024 Change 2025 2024 Change
Underwriting results:
Gross premiums written $ 6,196  $ 5,382  15.1  % $ 12,659  $ 11,315  11.9  %
Net premiums written 4,348  3,781  15.0  % 8,863  7,866  12.7  %
Net premiums earned 4,337  3,565  21.7  % 8,525  6,987  22.0  %
Underwriting income (loss) (1) 818  762  7.3  % 1,235  1,498  (17.6) %
Loss ratio 53.1  % 51.2  % 1.9  57.4  % 50.9  % 6.5 
Acquisition expense ratio 19.0  % 17.8  % 1.2  18.6  % 17.7  % 0.9 
Other operating expense ratio (2) 9.1  % 9.7  % (0.6) 9.5  % 10.1  % (0.6)
Combined ratio 81.2  % 78.7  % 2.5  85.5  % 78.7  % 6.8 
Pre-tax net investment income $ 405  $ 364  11.3  % $ 783  $ 691  13.3  %
Per diluted share $ 1.07  $ 0.95  12.6  % $ 2.06  $ 1.81  13.8  %
Net income available to Arch common shareholders $ 1,227  $ 1,259  (2.5) % $ 1,791  $ 2,369  (24.4) %
Per diluted share $ 3.23  $ 3.30  (2.1) % $ 4.70  $ 6.22  (24.4) %
After-tax operating income available to Arch common shareholders (1) $ 979  $ 981  (0.2) % $ 1,566  $ 1,914  (18.2) %
Per diluted share $ 2.58  $ 2.57  0.4  % $ 4.11  $ 5.02  (18.1) %
Comprehensive income (loss) available to Arch $ 1,597  $ 1,280  24.8  % $ 2,483  $ 2,255  10.1  %
Net cash provided by operating activities $ 1,124  $ 1,518  (26.0) % $ 2,582  $ 3,082  (16.2) %
Weighted average common shares and common share equivalents outstanding — diluted 379.9  381.6  (0.4) % 380.8  380.9  —  %
Financial measures:          
Change in book value per common share during period 7.3  % 6.9  % 0.4  11.4  % 12.4  % (1.0)
Annualized net income return on average common equity 22.9  % 26.3  % (3.4) 17.0  % 25.4  % (8.4)
Annualized operating return on average common equity (1) 18.2  % 20.5  % (2.3) 14.8  % 20.5  % (5.7)
Total return on investments (3) 3.09  % 1.33  % 176 bps 5.17  % 2.14  % 303 bps
 

(1)See ‘Comments on Non-GAAP Financial Measures’ 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)The ‘Other operating expense ratio’ for the 2025 periods include ‘Other underwriting income.’
(3)Total return on investments includes investment income, equity in net income of investments 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 Non-GAAP Financial Measures’ 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,
  2025 2025 2024 2024 2024 2025 2024
Revenues              
Net premiums earned $ 4,337  $ 4,188  $ 4,143  $ 3,970  $ 3,565  $ 8,525  $ 6,987 
Net investment income 405  378  405  399  364  783  691 
Net realized gains (losses) 229  (161) 169  122  232  189 
Other underwriting income (1) 62  53  115  15 
Equity in net income of investments accounted for using the equity method 162  53  143  171  167  215  266 
Other income (loss) 18  (2) 12  16  22 
Total revenues 5,213  4,673  4,548  4,722  4,229  9,886  8,170 
Expenses
Losses and loss adjustment expenses (2,303) (2,587) (2,384) (2,403) (1,827) (4,890) (3,555)
Acquisition expenses (824) (764) (730) (681) (633) (1,588) (1,240)
Other operating expenses (454) (473) (410) (353) (346) (927) (709)
Corporate expenses (47) (60) (57) (49) (41) (107) (94)
Amortization of intangible assets (48) (49) (99) (88) (27) (97) (48)
Interest expense (38) (35) (37) (35) (35) (73) (69)
Net foreign exchange gains (losses) (88) (27) 106  (63) (115) 32 
Total expenses (3,802) (3,995) (3,611) (3,672) (2,908) (7,797) (5,683)
Income (loss) before income taxes and income (loss) from operating affiliates 1,411  678  937  1,050  1,321  2,089  2,487 
Income tax (expense) benefit (214) (121) (66) (98) (97) (335) (198)
Income (loss) from operating affiliates 40  17  64  36  45  57  100 
Net income (loss) attributable to Arch 1,237  574  935  988  1,269  1,811  2,389 
Preferred dividends (10) (10) (10) (10) (10) (20) (20)
Net income (loss) available to Arch common shareholders $ 1,227  $ 564  $ 925  $ 978  $ 1,259  $ 1,791  $ 2,369 
Comprehensive income (loss) available to Arch $ 1,597  $ 886  $ 415  $ 1,598  $ 1,280  $ 2,483  $ 2,255 
Net income (loss) per common share and common share equivalent
Basic $ 3.30  $ 1.51  $ 2.48  $ 2.62  $ 3.38  $ 4.81  $ 6.37 
Diluted $ 3.23  $ 1.48  $ 2.42  $ 2.56  $ 3.30  $ 4.70  $ 6.22 
Weighted average common shares and common share equivalents outstanding
Basic 372.2  372.9  373.3  373.2  372.7  372.6  371.8 
Diluted 379.9  381.9  382.8  382.3  381.6  380.8  380.9 

(1)    ‘Other underwriting income’ includes revenue earned from underwriting-related activities covered under existing service contracts.
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,
2025 2025 2024 2024 2024
Assets          
Investments:          
Fixed maturities available for sale, at fair value $ 30,332  $ 28,798  $ 27,035  $ 28,434  $ 25,202 
Short-term investments available for sale, at fair value 2,788  2,477  2,784  3,341  2,297 
Equity securities, at fair value 1,715  1,618  1,675  1,623  1,397 
Other investments 2,892  2,888  3,066  3,261  3,206 
Investments accounted for using the equity method 6,566  6,340  5,980  5,244  4,983 
Total investments 44,293  42,121  40,540  41,903  37,085 
Cash 983  1,187  979  1,025  1,020 
Accrued investment income 329  267  298  292  287 
Investment in operating affiliates 1,356  1,305  1,240  1,236  1,143 
Premiums receivable 7,067  6,607  5,634  6,364  6,268 
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses 9,044  8,969  8,260  7,948  7,473 
Contractholder receivables 2,280  2,212  2,161  2,078  2,016 
Ceded unearned premiums 3,229  2,895  2,428  2,935  2,981 
Deferred acquisition costs 1,814  1,785  1,734  1,744  1,635 
Receivable for securities sold 390  324  50  790  116 
Goodwill and intangible assets 1,319  1,308  1,351  1,486  725 
Other assets 6,684  6,196  6,231  5,855  4,716 
Total assets $ 78,788  $ 75,176  $ 70,906  $ 73,656  $ 65,465 
Liabilities          
Reserve for losses and loss adjustment expenses $ 32,089  $ 30,946  $ 29,369  $ 28,679  $ 24,466 
Unearned premiums 11,625  11,090  10,218  11,238  10,452 
Reinsurance balances payable 2,841  2,661  2,137  2,586  2,591 
Contractholder payables 2,286  2,218  2,165  2,082  2,020 
Collateral held for insured obligations 225  245  249  268  263 
Senior notes 2,728  2,728  2,728  2,727  2,727 
Payable for securities purchased 728  578  181  967  410 
Other liabilities 3,225  3,165  3,039  2,835  1,871 
Total liabilities 55,747  53,631  50,086  51,382  44,800 
Shareholders’ equity          
Non-cumulative preferred shares 830  830  830  830  830 
Common shares
Additional paid-in capital 2,660  2,588  2,510  2,465  2,443 
Retained earnings 24,477  23,250  22,686  23,642  22,664 
Accumulated other comprehensive income (loss), net of deferred income tax (48) (408) (720) (200) (810)
Common shares held in treasury, at cost (4,879) (4,716) (4,487) (4,464) (4,463)
Total shareholders’ equity 23,041  21,545  20,820  22,274  20,665 
Total liabilities and shareholders’ equity $ 78,788  $ 75,176  $ 70,906  $ 73,656  $ 65,465 
Common shares and common share equivalents outstanding, net of treasury shares 375.4  375.6  376.4  376.2  376.0 
Book value per common share (1) $ 59.17  $ 55.15  $ 53.11  $ 57.00  $ 52.75 
(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,
2025 2025 2024 2024 2024 2025 2024
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 2,588  2,510  2,465  2,443  2,401  2,510  2,327 
Amortization of share-based compensation 25  74  33  16  16  99  84 
All other 47  12  26  51  32 
Balance at end of period 2,660  2,588  2,510  2,465  2,443  2,660  2,443 
Retained earnings
Balance at beginning of period 23,250  22,686  23,642  22,664  21,405  22,686  20,295 
Net income 1,237  574  935  988  1,269  1,811  2,389 
Common share dividends —  —  (1,881) —  —  —  — 
Preferred share dividends (10) (10) (10) (10) (10) (20) (20)
Balance at end of period 24,477  23,250  22,686  23,642  22,664  24,477  22,664 
Accumulated other comprehensive income (loss), net of deferred income tax
Balance at beginning of period (408) (720) (200) (810) (821) (720) (676)
Change in unrealized appreciation (decline) in value of available-for-sale investments 296  286  (442) 585  27  582  (85)
Change in foreign currency translation adjustments 64  26  (78) 25  (16) 90  (49)
Balance at end of period (48) (408) (720) (200) (810) (48) (810)
Common shares held in treasury, at cost
Balance at beginning of period (4,716) (4,487) (4,464) (4,463) (4,461) (4,487) (4,424)
Shares repurchased for treasury (163) (229) (23) (1) (2) (392) (39)
Balance at end of period (4,879) (4,716) (4,487) (4,464) (4,463) (4,879) (4,463)
Total shareholders’ equity $ 23,041  $ 21,545  $ 20,820  $ 22,274  $ 20,665  $ 23,041  $ 20,665 

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,
2025 2025 2024 2024 2024 2025 2024
Operating Activities              
Net income (loss) $ 1,237  $ 574  $ 935  $ 988  $ 1,269  $ 1,811  $ 2,389 
Adjustments to reconcile net income to net cash provided by operating activities:
Net realized (gains) losses (225) (6) 176  (165) (144) (231) (196)
Equity in net (income) of investments accounted for using the equity method and other income or loss (95) (12) (152) (162) (62) (107) (174)
Amortization of intangible assets 48  49  99  88  27  97  48 
Share-based compensation 25  74  33  16  16  99  84 
Changes in:
Reserve for losses and loss adjustment expenses, net 560  826  832  1,078  709  1,386  1,369 
Unearned premiums, net 11  327  (324) 77  216  338  879 
Premiums receivable (352) (942) 686  178  (523) (1,294) (1,682)
Deferred acquisition costs 33  (14) (46) (86) 19  (80)
Reinsurance balances payable 159  504  (410) (27) 95  663  616 
Deferred income tax assets, net 80  29  (96) 16  21  109  45 
Other items, net (357) 49  (160) 17  (108) (308) (216)
Net cash provided by operating activities 1,124  1,458  1,573  2,018  1,518  2,582  3,082 
Investing Activities              
Purchases of fixed maturity investments (8,150) (9,418) (9,731) (7,436) (5,798) (17,568) (14,123)
Purchases of equity securities (179) (808) (491) (278) (145) (987) (654)
Purchases of other investments (535) (697) (1,587) (529) (875) (1,232) (1,369)
Proceeds from sales of fixed maturity investments 6,522  7,301  9,798  5,227  3,691  13,823  11,220 
Proceeds from sales of equity securities 223  820  428  126  482  1,043  547 
Proceeds from sales, redemptions and maturities of other investments 431  660  834  405  503  1,091  619 
Proceeds from redemptions and maturities of fixed maturity investments 568  758  766  392  515  1,326  878 
Net settlements of derivative instruments 147  93  (132) 115  240  12 
Net (purchases) sales of short-term investments (242) 294  549  (793) 65  52  (25)
Acquisitions, net of cash —  —  —  852  —  —  — 
Purchases of fixed assets (12) (9) (13) (12) (11) (21) (26)
Other (1) (2) (1) (32) 57  (3)
Net cash provided by (used for) investing activities (1,228) (1,008) 420  (1,963) (1,509) (2,236) (2,918)
Financing Activities              
Purchases of common shares under share repurchase program (163) (196) (24) —  —  (359) — 
Proceeds from common shares issued, net 47  (28) 24  19  (8)
Common dividends paid (2) (5) (1,866) —  —  (7) — 
Preferred dividends paid (10) (10) (10) (10) (10) (20) (20)
Other —  (2) (3) —  (2) — 
Net cash provided by (used for) financing activities (128) (241) (1,890) (7) 14  (369) (28)
Effects of exchange rate changes on foreign currency cash and restricted cash 55  16  (55) 37  71  (7)
Increase (decrease) in cash and restricted cash (177) 225  48  85  27  48  129 
Cash and restricted cash, beginning of period 1,985  1,760  1,712  1,627  1,600  1,760  1,498 
Cash and restricted cash, end of period $ 1,808  $ 1,985  $ 1,760  $ 1,712  $ 1,627  $ 1,808  $ 1,627 
Income taxes paid (received) $ 131  $ 18  $ 157  $ 76  $ 151  $ 149  $ 145 
Interest paid $ 64  $ —  $ 64  $ —  $ 63  $ 64  $ 63 
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 and the Chief Financial Officer and Treasurer. 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 Company’s insurance segment primarily consists of commercial insurance lines of business, with a focus on specialty insurance products. These products are mainly offered in North America, Bermuda, the United Kingdom, continental Europe and Australia. Products offered in North America include: commercial automobile; commercial multi‐peril; other liability—claims made, which includes financial and professional lines; other liability—occurrence, which includes admitted and excess and surplus casualty lines; property and short-tail specialty; workers compensation; and other. Products offered across the Company’s International units include: property and short-tail specialty; and casualty and other.
Reinsurance Segment
The Company’s reinsurance segment offers reinsurance products on a worldwide basis. Lines of business include: casualty; marine and aviation; specialty; property catastrophe; property excluding property catastrophe; and other.
Mortgage Segment
The Company’s mortgage segment consists of U.S. primary mortgage insurance business written predominantly on loans sold to the Federal National Mortgage Association (“Fannie Mae”) and the Federal Home Loan Mortgage Corporation (“Freddie Mac”), each a government sponsored entity (“GSE”) and also through non GSE approved entities (combined “Arch MI U.S.”); reinsurance and underwriting services related to U.S. credit-risk transfer (“CRT”) business which are predominately with the GSEs and other U.S. mortgage reinsurance transactions; and international mortgage insurance and reinsurance business covering loans primarily in Australia and Europe.
The Company’s results also 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, changes in the allowance for credit losses on financial assets and gains and losses realized from acquisition or disposition of subsidiaries), equity in net income or loss of investments 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, 2025
  Insurance Reinsurance Mortgage Total
Gross premiums written (1) $ 2,681  $ 3,196  $ 323  $ 6,196 
Premiums ceded (1) (645) (1,137) (70) (1,848)
Net premiums written 2,036  2,059  253  4,348 
Change in unearned premiums (67) 28  28  (11)
Net premiums earned 1,969  2,087  281  4,337 
Other underwriting income (2) 13  46  62 
Losses and loss adjustment expenses (1,178) (1,128) (2,303)
Acquisition expenses (387) (436) (1) (824)
Other operating expenses (288) (118) (48) (454)
Underwriting income (loss) $ 129  $ 451  $ 238  818 
Net investment income 405 
Net realized gains (losses) 229 
Equity in net income of investments accounted for using the equity method 162 
Other income (loss) 18 
Corporate expenses (3) (29)
Transaction costs and other (3) (18)
Amortization of intangible assets (48)
Interest expense (38)
Net foreign exchange gains (losses) (88)
Income (loss) before income taxes and income (loss) from operating affiliates 1,411 
Income tax (expense) benefit (214)
Income (loss) from operating affiliates 40 
Net income (loss) available to Arch 1,237 
Preferred dividends (10)
Net income (loss) available to Arch common shareholders $ 1,227 
Underwriting Ratios
Loss ratio 59.8  % 54.1  % (1.2) % 53.1  %
Acquisition expense ratio 19.6  % 20.9  % 0.4  % 19.0  %
Other operating expense ratio (4) 14.0  % 3.5  % 16.0  % 9.1  %
Combined ratio 93.4  % 78.5  % 15.2  % 81.2  %
Net premiums written to gross premiums written 75.9  % 64.4  % 78.3  % 70.2  %
Total investable assets $ 44,938 
Total assets 78,788 
Total liabilities 55,747 

(1)    Certain assumed and ceded amounts related to intersegment transactions are included in individual segment results. Accordingly, the sum of such transactions for each segment does not agree to the total due to eliminations.
(2)    ‘Other underwriting income’ includes revenue earned from underwriting-related activities covered under existing service contracts.
(3)    Certain expenses have been excluded from ‘Corporate expenses’ and reflected in ‘Transaction costs and other.’ See ‘Comments on Non-GAAP Financial Measures’ for a further discussion of such items.
(4)    The ‘Other operating expense ratio’ for the 2025 periods include ‘Other underwriting income.’
9

Arch Capital Group Ltd. and Subsidiaries
Segment Information
(U.S. Dollars in millions) Three Months Ended
June 30, 2024
  Insurance Reinsurance Mortgage Total
Gross premiums written (1) $ 2,102  $ 2,941  $ 340  $ 5,382 
Premiums ceded (1) (544) (994) (64) (1,601)
Net premiums written 1,558  1,947  276  3,781 
Change in unearned premiums (80) (167) 31  (216)
Net premiums earned 1,478  1,780  307  3,565 
Other underwriting income — 
Losses and loss adjustment expenses (848) (1,006) 27  (1,827)
Acquisition expenses (288) (345) —  (633)
Other operating expenses (233) (64) (49) (346)
Underwriting income (loss) $ 109  $ 366  $ 287  762 
Net investment income 364 
Net realized gains (losses) 122 
Equity in net income of investments accounted for using the equity method 167 
Other income (loss)
Corporate expenses (2) (23)
Transaction costs and other (2) (18)
Amortization of intangible assets (27)
Interest expense (35)
Net foreign exchange gains (losses)
Income (loss) before income taxes and income (loss) from operating affiliates 1,321 
Income tax (expense) benefit (97)
Income (loss) from operating affiliates 45 
Net income (loss) available to Arch 1,269 
Preferred dividends (10)
Net income (loss) available to Arch common shareholders $ 1,259 
Underwriting Ratios
Loss ratio 57.3  % 56.5  % (8.6) % 51.2  %
Acquisition expense ratio 19.5  % 19.4  % 0.1  % 17.8  %
Other operating expense ratio 15.8  % 3.6  % 15.9  % 9.7  %
Combined ratio 92.6  % 79.5  % 7.4  % 78.7  %
Net premiums written to gross premiums written 74.1  % 66.2  % 81.2  % 70.3  %
Total investable assets $ 37,811 
Total assets 65,465 
Total liabilities 44,800 
(1)    Certain assumed and ceded amounts related to intersegment transactions are included in individual segment results. Accordingly, the sum of such transactions for each segment does not agree to the total due to eliminations.
(2)    Certain expenses have been excluded from ‘Corporate expenses’ and reflected in ‘Transaction costs and other.’ See ‘Comments on Non-GAAP Financial Measures’ 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, 2025
  Insurance Reinsurance Mortgage Total
Gross premiums written (1) $ 5,326  $ 6,690  $ 649  $ 12,659 
Premiums ceded (1) (1,357) (2,315) (130) (3,796)
Net premiums written 3,969  4,375  519  8,863 
Change in unearned premiums (140) (260) 62  (338)
Net premiums earned 3,829  4,115  581  8,525 
Other underwriting income (2) 16  85  14  115 
Losses and loss adjustment expenses (2,406) (2,484) —  (4,890)
Acquisition expenses (730) (853) (5) (1,588)
Other operating expenses (582) (245) (100) (927)
Underwriting income (loss) $ 127  $ 618  $ 490  1,235 
Net investment income 783 
Net realized gains (losses) 232 
Equity in net income of investments accounted for using the equity method 215 
Other income (loss) 16 
Corporate expenses (3) (79)
Transaction costs and other (3) (28)
Amortization of intangible assets (97)
Interest expense (73)
Net foreign exchange gains (losses) (115)
Income (loss) before income taxes and income (loss) from operating affiliates 2,089 
Income tax (expense) benefit (335)
Income (loss) from operating affiliates 57 
Net income (loss) available to Arch 1,811 
Preferred dividends (20)
Net income (loss) available to Arch common shareholders $ 1,791 
Underwriting Ratios
Loss ratio 62.8  % 60.4  % —  % 57.4  %
Acquisition expense ratio 19.1  % 20.7  % 0.9  % 18.6  %
Other operating expense ratio (4) 14.8  % 3.9  % 14.9  % 9.5  %
Combined ratio 96.7  % 85.0  % 15.8  % 85.5  %
Net premiums written to gross premiums written 74.5  % 65.4  % 80.0  % 70.0  %
 
(1)    Certain assumed and ceded amounts related to intersegment transactions are included in individual segment results. Accordingly, the sum of such transactions for each segment does not agree to the total due to eliminations.
(2)    ‘Other underwriting income’ includes revenue earned from underwriting-related activities covered under existing service contracts.
(3)    Certain expenses have been excluded from ‘Corporate expenses’ and reflected in ‘Transaction costs and other.’ See ‘Comments on Non-GAAP Financial Measures’ for a further discussion of such items.
(4)    The ‘Other operating expense ratio’ for the 2025 periods include ‘Other underwriting income.’
11

Arch Capital Group Ltd. and Subsidiaries
Segment Information
(U.S. Dollars in millions) Six Months Ended
June 30, 2024
  Insurance Reinsurance Mortgage Total
Gross premiums written (1) $ 4,228  $ 6,408  $ 681  $ 11,315 
Premiums ceded (1) (1,128) (2,195) (128) (3,449)
Net premiums written 3,100  4,213  553  7,866 
Change in unearned premiums (171) (767) 59  (879)
Net premiums earned 2,929  3,446  612  6,987 
Other underwriting income —  12  15 
Losses and loss adjustment expenses (1,702) (1,889) 36  (3,555)
Acquisition expenses (564) (676) —  (1,240)
Other operating expenses (468) (139) (102) (709)
Underwriting income (loss) $ 195  $ 745  $ 558  1,498 
Net investment income 691 
Net realized gains (losses) 189 
Equity in net income of investments accounted for using the equity method 266 
Other income (loss) 22 
Corporate expenses (2) (69)
Transaction costs and other (2) (25)
Amortization of intangible assets (48)
Interest expense (69)
Net foreign exchange gains (losses) 32 
Income (loss) before income taxes and income (loss) from operating affiliates 2,487 
Income tax (expense) benefit (198)
Income (loss) from operating affiliates 100 
Net income (loss) available to Arch 2,389 
Preferred dividends (20)
Net income (loss) available to Arch common shareholders $ 2,369 
Underwriting Ratios
Loss ratio 58.1  % 54.8  % (5.8) % 50.9  %
Acquisition expense ratio 19.2  % 19.6  % 0.1  % 17.7  %
Other operating expense ratio 16.0  % 4.0  % 16.7  % 10.1  %
Combined ratio 93.3  % 78.4  % 11.0  % 78.7  %
Net premiums written to gross premiums written 73.3  % 65.7  % 81.2  % 69.5  %
 
(1)    Certain assumed and ceded amounts related to intersegment transactions are included in individual segment results. Accordingly, the sum of such transactions for each segment does not agree to the total due to eliminations.
(2)    Certain expenses have been excluded from ‘corporate expenses’ and reflected in ‘Transaction costs and other.’ See ‘Comments on Non-GAAP Financial Measures’ 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,
  2025 2025 2024 2024 2024 2025 2024
Gross premiums written $ 2,681  $ 2,645  $ 2,484  $ 2,341  $ 2,102  $ 5,326  $ 4,228 
Premiums ceded (645) (712) (530) (521) (544) (1,357) (1,128)
Net premiums written 2,036  1,933  1,954  1,820  1,558  3,969  3,100 
Change in unearned premiums (67) (73) (21) (55) (80) (140) (171)
Net premiums earned 1,969  1,860  1,933  1,765  1,478  3,829  2,929 
Other underwriting income (1) 13  —  —  —  16  — 
Losses and loss adjustment expenses (1,178) (1,228) (1,281) (1,087) (848) (2,406) (1,702)
Acquisition expenses (387) (343) (345) (308) (288) (730) (564)
Other operating expenses (288) (294) (277) (250) (233) (582) (468)
Underwriting income (loss) $ 129  $ (2) $ 30  $ 120  $ 109  $ 127  $ 195 
Underwriting Ratios
Loss ratio 59.8  % 66.0  % 66.3  % 61.6  % 57.3  % 62.8  % 58.1  %
Acquisition expense ratio 19.6  % 18.5  % 17.9  % 17.4  % 19.5  % 19.1  % 19.2  %
Other operating expense ratio (2) 14.0  % 15.6  % 14.3  % 14.1  % 15.8  % 14.8  % 16.0  %
Combined ratio 93.4  % 100.1  % 98.5  % 93.1  % 92.6  % 96.7  % 93.3  %
Catastrophic activity and prior year development:
Current accident year catastrophic events, net of reinsurance and reinstatement premiums 2.9  % 9.5  % 8.3  % 4.9  % 2.0  % 6.1  % 1.9  %
Net (favorable) adverse development in prior year loss reserves, net of related adjustments (0.1) % (0.5) % (0.1) % (0.7) % (0.2) % (0.3) % (0.3) %
Combined ratio excluding catastrophic activity and prior year development (3) 90.6  % 91.1  % 90.3  % 88.9  % 90.8  % 90.9  % 91.7  %
Net premiums written to gross premiums written 75.9  % 73.1  % 78.7  % 77.7  % 74.1  % 74.5  % 73.3  %
 
(1)‘Other underwriting income’ includes revenue earned from underwriting-related activities covered under existing service contracts.
(2)The ‘Other operating expense ratio’ for the 2025 periods include ‘Other underwriting income.’
(3)See ‘Comments on Non-GAAP Financial Measures’ 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,
  2025 2025 2024 2024 2024 2025 2024
Net Premiums Written by Line of Business
North America
Property and short-tail specialty $ 369  18.1  % $ 348  18.0  % $ 364  18.6  % $ 296  16.3  % $ 276  17.7  % $ 717  18.1  % $ 560  18.1  %
Other liability - occurrence 366  18.0  % 330  17.1  % 342  17.5  % 253  13.9  % 224  14.4  % 696  17.5  % 407  13.1  %
Other liability - claims made 206  10.1  % 149  7.7  % 215  11.0  % 228  12.5  % 215  13.8  % 355  8.9  % 415  13.4  %
Commercial multi-peril 205  10.1  % 198  10.2  % 195  10.0  % 163  9.0  % 62  4.0  % 403  10.2  % 103  3.3  %
Commercial automobile 165  8.1  % 161  8.3  % 116  5.9  % 134  7.4  % 123  7.9  % 326  8.2  % 235  7.6  %
Workers compensation 130  6.4  % 153  7.9  % 153  7.8  % 147  8.1  % 112  7.2  % 283  7.1  % 255  8.2  %
Other 89  4.4  % 76  3.9  % 63  3.2  % 81  4.5  % 75  4.8  % 165  4.2  % 144  4.6  %
Total North America $ 1,530  75.1  % $ 1,415  73.2  % $ 1,448  74.1  % $ 1,302  71.5  % $ 1,087  69.8  % $ 2,945  74.2  % $ 2,119  68.4  %
International
Property and short-tail specialty $ 278  13.7  % $ 267  13.8  % $ 260  13.3  % $ 277  15.2  % $ 260  16.7  % $ 545  13.7  % $ 528  17.0  %
Casualty and other 228  11.2  % 251  13.0  % 246  12.6  % 241  13.2  % 211  13.5  % 479  12.1  % 453  14.6  %
Total International $ 506  24.9  % $ 518  26.8  % $ 506  25.9  % $ 518  28.5  % $ 471  30.2  % $ 1,024  25.8  % $ 981  31.6  %
Total $ 2,036  100.0  % $ 1,933  100.0  % $ 1,954  100.0  % $ 1,820  100.0  % $ 1,558  100.0  % $ 3,969  100.0  % $ 3,100  100.0  %
Net Premiums Earned by Line of Business
North America
Property and short-tail specialty $ 363  18.4  % $ 333  17.9  % $ 332  17.2  % $ 306  17.3  % $ 264  17.9  % $ 696  18.2  % $ 527  18.0  %
Other liability - occurrence 338  17.2  % 329  17.7  % 327  16.9  % 265  15.0  % 175  11.8  % 667  17.4  % 350  11.9  %
Other liability - claims made 186  9.4  % 192  10.3  % 210  10.9  % 213  12.1  % 208  14.1  % 378  9.9  % 420  14.3  %
Commercial multi-peril 203  10.3  % 201  10.8  % 189  9.8  % 146  8.3  % 57  3.9  % 404  10.6  % 100  3.4  %
Commercial automobile 147  7.5  % 145  7.8  % 130  6.7  % 122  6.9  % 106  7.2  % 292  7.6  % 207  7.1  %
Workers compensation 147  7.5  % 131  7.0  % 155  8.0  % 135  7.6  % 132  8.9  % 278  7.3  % 259  8.8  %
Other 71  3.6  % 72  3.9  % 74  3.8  % 79  4.5  % 75  5.1  % 143  3.7  % 156  5.3  %
Total North America $ 1,455  73.9  % $ 1,403  75.4  % $ 1,417  73.3  % $ 1,266  71.7  % $ 1,017  68.8  % $ 2,858  74.6  % $ 2,019  68.9  %
International
Property and short-tail specialty $ 272  13.8  % $ 236  12.7  % $ 288  14.9  % $ 276  15.6  % $ 248  16.8  % $ 508  13.3  % $ 486  16.6  %
Casualty and other 242  12.3  % 221  11.9  % 228  11.8  % 223  12.6  % 213  14.4  % 463  12.1  % 424  14.5  %
Total International $ 514  26.1  % $ 457  24.6  % $ 516  26.7  % $ 499  28.3  % $ 461  31.2  % $ 971  25.4  % $ 910  31.1  %
Total $ 1,969  100.0  % $ 1,860  100.0  % $ 1,933  100.0  % $ 1,765  100.0  % $ 1,478  100.0  % $ 3,829  100.0  % $ 2,929  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,
  2025 2025 2024 2024 2024 2025 2024
Gross premiums written $ 3,196  $ 3,494  $ 1,941  $ 2,763  $ 2,941  $ 6,690  $ 6,408 
Premiums ceded (1,137) (1,178) (353) (818) (994) (2,315) (2,195)
Net premiums written 2,059  2,316  1,588  1,945  1,947  4,375  4,213 
Change in unearned premiums 28  (288) 316  (53) (167) (260) (767)
Net premiums earned 2,087  2,028  1,904  1,892  1,780  4,115  3,446 
Other underwriting income (1) 46  39  85 
Losses and loss adjustment expenses (1,128) (1,356) (1,121) (1,317) (1,006) (2,484) (1,889)
Acquisition expenses (436) (417) (382) (374) (345) (853) (676)
Other operating expenses (118) (127) (77) (54) (64) (245) (139)
Underwriting income (loss) $ 451  $ 167  $ 328  $ 149  $ 366  $ 618  $ 745 
Underwriting Ratios
Loss ratio 54.1  % 66.9  % 58.9  % 69.6  % 56.5  % 60.4  % 54.8  %
Acquisition expense ratio 20.9  % 20.6  % 20.0  % 19.8  % 19.4  % 20.7  % 19.6  %
Other operating expense ratio (2) 3.5  % 4.3  % 4.1  % 2.9  % 3.6  % 3.9  % 4.0  %
Combined ratio 78.5  % 91.8  % 83.0  % 92.3  % 79.5  % 85.0  % 78.4  %
Catastrophic activity and prior year development:
Current accident year catastrophic events, net of reinsurance and reinstatement premiums 4.6  % 18.3  % 12.2  % 19.3  % 9.4  % 11.3  % 5.7  %
Net (favorable) adverse development in prior year loss reserves, net of related adjustments (3.3) % (4.5) % (4.0) % (1.9) % (1.8) % (3.9) % (2.1) %
Combined ratio excluding catastrophic activity and prior year development (3) 77.2  % 78.0  % 74.8  % 74.9  % 71.9  % 77.6  % 74.8  %
Net premiums written to gross premiums written 64.4  % 66.3  % 81.8  % 70.4  % 66.2  % 65.4  % 65.7  %
 
(1)‘Other underwriting income’ includes revenue earned from underwriting-related activities covered under existing service contracts.
(2)The ‘Other operating expense ratio’ for the 2025 periods include ‘Other underwriting income.’
(3)See ‘Comments on Non-GAAP Financial Measures’ 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,
  2025 2025 2024 2024 2024 2025 2024
Net Premiums Written by Line of Business
Specialty $ 729  35.4  % $ 594  25.6  % $ 701  44.1  % $ 769  39.5  % $ 539  27.7  % $ 1,323  30.2  % $ 1,379  32.7  %
Property catastrophe 484  23.5  % 477  20.6  % 84  5.3  % 52  2.7  % 472  24.2  % 961  22.0  % 822  19.5  %
Property excluding property catastrophe 430  20.9  % 581  25.1  % 441  27.8  % 671  34.5  % 585  30.0  % 1,011  23.1  % 1,152  27.3  %
Casualty 308  15.0  % 499  21.5  % 279  17.6  % 339  17.4  % 261  13.4  % 807  18.4  % 604  14.3  %
Marine and aviation 68  3.3  % 121  5.2  % 43  2.7  % 69  3.5  % 59  3.0  % 189  4.3  % 188  4.5  %
Other 40  1.9  % 44  1.9  % 40  2.5  % 45  2.3  % 31  1.6  % 84  1.9  % 68  1.6  %
Total $ 2,059  100.0  % $ 2,316  100.0  % $ 1,588  100.0  % $ 1,945  100.0  % $ 1,947  100.0  % $ 4,375  100.0  % $ 4,213  100.0  %
Net Premiums Earned by Line of Business
Specialty $ 760  36.4  % $ 727  35.8  % $ 685  36.0  % $ 688  36.4  % $ 659  37.0  % $ 1,487  36.1  % $ 1,246  36.2  %
Property catastrophe 260  12.5  % 306  15.1  % 223  11.7  % 256  13.5  % 246  13.8  % 566  13.8  % 480  13.9  %
Property excluding property catastrophe 587  28.1  % 548  27.0  % 602  31.6  % 540  28.5  % 520  29.2  % 1,135  27.6  % 1,006  29.2  %
Casualty 355  17.0  % 325  16.0  % 290  15.2  % 282  14.9  % 269  15.1  % 680  16.5  % 516  15.0  %
Marine and aviation 82  3.9  % 80  3.9  % 62  3.3  % 80  4.2  % 60  3.4  % 162  3.9  % 134  3.9  %
Other 43  2.1  % 42  2.1  % 42  2.2  % 46  2.4  % 26  1.5  % 85  2.1  % 64  1.9  %
Total $ 2,087  100.0  % $ 2,028  100.0  % $ 1,904  100.0  % $ 1,892  100.0  % $ 1,780  100.0  % $ 4,115  100.0  % $ 3,446  100.0  %
Net Premiums Written by Underwriting Location
Bermuda $ 1,060  51.5  % $ 1,154  49.8  % $ 672  42.3  % $ 671  34.5  % $ 1,043  53.6  % $ 2,214  50.6  % $ 2,082  49.4  %
United States 447  21.7  % 477  20.6  % 478  30.1  % 744  38.3  % 429  22.0  % 924  21.1  % 913  21.7  %
Europe and other 552  26.8  % 685  29.6  % 438  27.6  % 530  27.2  % 475  24.4  % 1,237  28.3  % 1,218  28.9  %
Total $ 2,059  100.0  % $ 2,316  100.0  % $ 1,588  100.0  % $ 1,945  100.0  % $ 1,947  100.0  % $ 4,375  100.0  % $ 4,213  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,
2025 2025 2024 2024 2024 2025 2024
Gross premiums written $ 323  $ 326  $ 331  $ 339  $ 340  $ 649  $ 681 
Premiums ceded (70) (60) (54) (57) (64) (130) (128)
Net premiums written 253  266  277  282  276  519  553 
Change in unearned premiums 28  34  29  31  31  62  59 
Net premiums earned 281  300  306  313  307  581  612 
Other underwriting income (1) 11  14  12 
Losses and loss adjustment expenses (3) 18  27  —  36 
Acquisition expenses (1) (4) (3) —  (5) — 
Other operating expenses (48) (52) (56) (49) (49) (100) (102)
Underwriting income $ 238  $ 252  $ 267  $ 269  $ 287  $ 490  $ 558 
Underwriting Ratios
Loss ratio (1.2) % 1.1  % (5.9) % (0.4) % (8.6) % —  % (5.8) %
Acquisition expense ratio 0.4  % 1.3  % 1.0  % (0.4) % 0.1  % 0.9  % 0.1  %
Other operating expense ratio (2) 16.0  % 13.7  % 18.3  % 15.6  % 15.9  % 14.9  % 16.7  %
Combined ratio 15.2  % 16.1  % 13.4  % 14.8  % 7.4  % 15.8  % 11.0  %
Net (favorable) adverse development in prior year loss reserves, net of related adjustments (24.1) % (21.8) % (22.3) % (22.8) % (29.0) % (22.9) % (27.4) %
Combined ratio excluding prior year development (3) 39.3  % 37.9  % 35.7  % 37.6  % 36.4  % 38.7  % 38.4  %
Net premiums written to gross premiums written 78.3  % 81.6  % 83.7  % 83.2  % 81.2  % 80.0  % 81.2  %

(1)‘Other underwriting income’ includes revenue earned from underwriting-related activities covered under existing service contracts.
(2)The ‘Other operating expense ratio’ for the 2025 periods include ‘Other underwriting income.’
(3)    See ‘Comments on Non-GAAP Financial Measures’ 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,
  2025 2025 2024 2024 2024 2025 2024
Net Premiums Written by Underwriting Unit
U.S. primary mortgage insurance $ 184  72.7  % $ 203  76.3  % $ 208  75.1  % $ 209  74.1  % $ 201  72.8  % $ 387  74.6  % $ 403  72.9  %
U.S. credit risk transfer (CRT) and other 51  20.2  % 50  18.8  % 51  18.4  % 54  19.1  % 51  18.5  % 101  19.5  % 107  19.3  %
International mortgage insurance/reinsurance 18  7.1  % 13  4.9  % 18  6.5  % 19  6.7  % 24  8.7  % 31  6.0  % 43  7.8  %
Total $ 253  100.0  % $ 266  100.0  % $ 277  100.0  % $ 282  100.0  % $ 276  100.0  % $ 519  100.0  % $ 553  100.0  %
Net Premiums Earned by Underwriting Unit
U.S. primary mortgage insurance $ 188  66.9  % $ 209  69.7  % $ 215  70.3  % $ 215  68.7  % $ 209  68.1  % $ 397  68.3  % $ 415  67.8  %
U.S. credit risk transfer (CRT) and other 51  18.1  % 50  16.7  % 51  16.7  % 55  17.6  % 51  16.6  % 101  17.4  % 107  17.5  %
International mortgage insurance/reinsurance 42  14.9  % 41  13.7  % 40  13.1  % 43  13.7  % 47  15.3  % 83  14.3  % 90  14.7  %
Total $ 281  100.0  % $ 300  100.0  % $ 306  100.0  % $ 313  100.0  % $ 307  100.0  % $ 581  100.0  % $ 612  100.0  %
Net Premiums Written by Underwriting Location
United States $ 184  72.7  % $ 203  76.3  % $ 208  75.1  % $ 210  74.5  % $ 202  73.2  % $ 387  74.6  % $ 405  73.2  %
Other 69  27.3  % 63  23.7  % 69  24.9  % 72  25.5  % 74  26.8  % 132  25.4  % 148  26.8  %
Total $ 253  100.0  % $ 266  100.0  % $ 277  100.0  % $ 282  100.0  % $ 276  100.0  % $ 519  100.0  % $ 553  100.0  %
(U.S. Dollars in millions)
June 30, 2025 March 31, 2025 December 31, 2024 September 30, 2024 June 30, 2024
Insurance In Force (IIF) (1)
U.S. primary mortgage insurance $ 286,410  57.7  % $ 287,768  58.2  % $ 290,435  58.0  % $ 292,313  57.2  % $ 292,512  57.0  %
U.S. credit risk transfer (CRT) and other 145,883  29.4  % 144,517  29.2  % 145,892  29.1  % 148,417  29.0  % 151,437  29.5  %
International mortgage insurance/reinsurance 64,374  13.0  % 62,487  12.6  % 64,822  12.9  % 70,380  13.8  % 68,986  13.4  %
Total $ 496,667  100.0  % $ 494,772  100.0  % $ 501,149  100.0  % $ 511,110  100.0  % $ 512,935  100.0  %
Risk In Force (RIF) (2)
U.S. primary mortgage insurance $ 74,948  85.1  % $ 75,300  85.5  % $ 76,034  85.3  % $ 76,448  84.6  % $ 76,351  84.6  %
U.S. credit risk transfer and other 5,892  6.7  % 5,842  6.6  % 5,876  6.6  % 6,011  6.7  % 6,206  6.9  %
International mortgage insurance/reinsurance 7,221  8.2  % 6,896  7.8  % 7,215  8.1  % 7,887  8.7  % 7,666  8.5  %
Total $ 88,061  100.0  % $ 88,038  100.0  % $ 89,125  100.0  % $ 90,346  100.0  % $ 90,223  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, 2025 March 31, 2025 December 31, 2024 September 30, 2024 June 30, 2024
Total RIF by credit quality (FICO score):
>=740 $ 47,261  63.1  % $ 47,130  62.6  % $ 47,360  62.3  % $ 47,414  62.0  % $ 47,190  61.8  %
680-739 23,880  31.9  % 24,274  32.2  % 24,688  32.5  % 24,974  32.7  % 25,053  32.8  %
620-679 3,479  4.6  % 3,558  4.7  % 3,638  4.8  % 3,701  4.8  % 3,735  4.9  %
<620 328  0.4  % 338  0.4  % 348  0.5  % 359  0.5  % 373  0.5  %
Total $ 74,948  100.0  % $ 75,300  100.0  % $ 76,034  100.0  % $ 76,448  100.0  % $ 76,351  100.0  %
Weighted average FICO score 749  748  748  748  747 
Total RIF by Loan-To-Value (LTV):
95.01% and above $ 7,361  9.8  % $ 7,383  9.8  % $ 7,420  9.8  % $ 7,415  9.7  % $ 7,384  9.7  %
90.01% to 95.00% 44,711  59.7  % 44,901  59.6  % 45,311  59.6  % 45,509  59.5  % 45,331  59.4  %
85.01% to 90.00% 20,293  27.1  % 20,420  27.1  % 20,637  27.1  % 20,746  27.1  % 20,668  27.1  %
85.00% and below 2,583  3.4  % 2,596  3.4  % 2,666  3.5  % 2,778  3.6  % 2,968  3.9  %
Total $ 74,948  100.0  % $ 75,300  100.0  % $ 76,034  100.0  % $ 76,448  100.0  % $ 76,351  100.0  %
Weighted average LTV 93.2  % 93.2  % 93.2  % 93.1  % 93.1  %
Total RIF by State:
California $ 5,894  7.9  % $ 5,909  7.8  % $ 5,989  7.9  % $ 6,052  7.9  % $ 6,110  8.0  %
Texas 5,432  7.2  % 5,506  7.3  % 5,613  7.4  % 5,699  7.5  % 5,803  7.6  %
North Carolina 3,347  4.5  % 3,340  4.4  % 3,355  4.4  % 3,353  4.4  % 3,320  4.3  %
Minnesota 3,147  4.2  % 3,085  4.1  % 3,108  4.1  % 3,111  4.1  % 3,110  4.1  %
Georgia 3,063  4.1  % 3,104  4.1  % 3,143  4.1  % 3,145  4.1  % 3,099  4.1  %
Illinois 3,033  4.0  % 3,025  4.0  % 3,056  4.0  % 3,085  4.0  % 3,086  4.0  %
Massachusetts 2,841  3.8  % 2,853  3.8  % 2,885  3.8  % 2,896  3.8  % 2,891  3.8  %
Michigan 2,816  3.8  % 2,838  3.8  % 2,855  3.8  % 2,876  3.8  % 2,852  3.7  %
Florida 2,714  3.6  % 2,758  3.7  % 2,824  3.7  % 2,880  3.8  % 2,943  3.9  %
Ohio 2,702  3.6  % 2,701  3.6  % 2,716  3.6  % 2,717  3.6  % 2,668  3.5  %
Other 39,959  53.3  % 40,181  53.4  % 40,490  53.3  % 40,634  53.2  % 40,469  53.0  %
Total $ 74,948  100.0  % $ 75,300  100.0  % $ 76,034  100.0  % $ 76,448  100.0  % $ 76,351  100.0  %
Weighted average coverage (end of period RIF divided by IIF) 26.2  % 26.2  % 26.2  % 26.2  % 26.1  %
U.S. mortgage insurance total RIF, net of reinsurance (1) $ 60,436  $ 60,226  $ 60,085  $ 60,421  $ 58,920 
Analysts’ persistency (2) 81.9  % 81.9  % 82.1  % 82.9  % 83.3  %
Risk-to-capital ratio -- Arch MI U.S. (3) 8.3:1 7.8:1 7.8:1 7.3:1 7.4:1
PMIER sufficiency ratio -- Arch MI U.S. (4) 168  % 186  % 186  % 205  % 196  %
(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, 2025).
(4) On August 21, 2024, Fannie Mae and Freddie Mac (collectively the GSEs) each updated their Private Mortgage Insurer Eligibility Requirements (PMIERs) to incorporate new deductions to available assets for investment risk. This update became effective on March 31, 2025; but the impact will be phased in through September 30, 2026. If the GSEs had fully implemented this update to PMIERs as of June 30, 2025, the changes would have reduced the available assets by 17% and resulted in a pro-forma PMIERs Sufficiency Ratio of 147%.
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, 2025 March 31, 2025 December 31, 2024 September 30, 2024 June 30, 2024
Total new insurance written (NIW) (1) $ 12,254  $ 9,190  $ 11,818  $ 13,526  $ 13,799 
Total NIW by credit quality (FICO score):
>=740 $ 9,411  76.8  % $ 6,835  74.4  % $ 8,495  71.9  % $ 9,438  69.8  % $ 9,726  70.5  %
680-739 2,527  20.6  % 2,103  22.9  % 2,920  24.7  % 3,584  26.5  % 3,641  26.4  %
620-679 313  2.6  % 249  2.7  % 401  3.4  % 502  3.7  % 430  3.1  %
<620 0.0  % 0.0  % 0.0  % 0.0  % 0.0  %
  Total $ 12,254  100.0  % $ 9,190  100.0  % $ 11,818  100.0  % $ 13,526  100.0  % $ 13,799  100.0  %
Total NIW by LTV:
95.01% and above $ 814  6.6  % $ 756  8.2  % $ 919  7.8  % $ 1,089  8.1  % $ 1,014  7.3  %
90.01% to 95.00% 5,632  46.0  % 4,374  47.6  % 5,743  48.6  % 6,620  48.9  % 7,234  52.4  %
85.01% to 90.00% 3,945  32.2  % 2,920  31.8  % 3,771  31.9  % 4,293  31.7  % 4,047  29.3  %
85.00% and below 1,863  15.2  % 1,140  12.4  % 1,385  11.7  % 1,524  11.3  % 1,504  10.9  %
  Total $ 12,254  100.0  % $ 9,190  100.0  % $ 11,818  100.0  % $ 13,526  100.0  % $ 13,799  100.0  %
Total NIW monthly vs. single:
Monthly $ 11,779  96.1  % $ 8,497  92.5  % $ 11,328  95.9  % $ 12,581  93.0  % $ 12,764  92.5  %
Single 475  3.9  % 693  7.5  % 490  4.1  % 945  7.0  % 1,035  7.5  %
  Total $ 12,254  100.0  % $ 9,190  100.0  % $ 11,818  100.0  % $ 13,526  100.0  % $ 13,799  100.0  %
Total NIW purchase vs. refinance:
Purchase $ 11,633  94.9  % $ 8,795  95.7  % $ 11,020  93.2  % $ 13,177  97.4  % $ 13,588  98.5  %
Refinance 621  5.1  % 395  4.3  % 798  6.8  % 349  2.6  % 211  1.5  %
  Total $ 12,254  100.0  % $ 9,190  100.0  % $ 11,818  100.0  % $ 13,526  100.0  % $ 13,799  100.0  %
Ending number of policies in force (PIF) (2) 1,073,477  1,085,927  1,100,653  1,114,251  1,123,698 
Rollforward of insured loans in default:
Beginning delinquent number of loans 21,299  22,982  21,878  20,422  18,269 
Plus: new notices 10,856  11,529  12,738  12,613  10,063 
Less: cures (11,085) (12,920) (11,264) (10,819) (10,170)
Less: paid claims (308) (292) (370) (338) (265)
Plus: acquired delinquent loans —  —  —  —  2,525 
Ending delinquent number of loans (2) 20,762  21,299  22,982  21,878  20,422 
Ending percentage of loans in default (2) 1.93  % 1.96  % 2.09  % 1.96  % 1.82  %
Losses:
Number of claims paid 308  292  370  338  265 
Total paid claims (in thousands) $ 12,703  $ 11,950  $ 12,679  $ 12,874  $ 7,557 
Average paid per claim (in thousands) $ 41.2  $ 40.9  $ 34.3  $ 38.1  $ 28.5 
Severity (3) 75.3  % 76.8  % 77.7  % 71.9  % 56.6  %
Average case reserve per default (in thousands) $ 16.8  $ 16.7  $ 15.3  $ 15.9  $ 17.1 
(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 direct first lien paid claims divided by RIF of loans for which claims were paid, excluding paid claim settlements.
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, 2025 December 31, 2024
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:
2015 and prior 30.3  % $ 17,041  5.9  % $ 4,340  5.8  % 5.32  % 36.1  % $ 18,329  6.3  % $ 4,670  6.1  % 5.85  %
2016 2.7  % 3,809  1.3  % 959  1.3  % 3.38  % 3.4  % 5,240  1.8  % 1,371  1.8  % 3.23  %
2017 4.3  % 4,862  1.7  % 1,298  1.7  % 3.29  % 4.7  % 5,554  1.9  % 1,489  2.0  % 3.52  %
2018 6.4  % 6,407  2.2  % 1,668  2.2  % 3.91  % 7.0  % 7,081  2.4  % 1,843  2.4  % 4.31  %
2019 7.5  % 11,687  4.1  % 3,066  4.1  % 2.71  % 7.6  % 12,919  4.4  % 3,386  4.5  % 2.85  %
2020 11.5  % 35,321  12.3  % 9,636  12.9  % 1.48  % 10.9  % 39,426  13.6  % 10,718  14.1  % 1.52  %
2021 15.4  % 55,848  19.5  % 15,137  20.2  % 1.50  % 14.2  % 62,382  21.5  % 16,620  21.9  % 1.52  %
2022 13.2  % 53,320  18.6  % 14,173  18.9  % 1.55  % 10.8  % 57,175  19.7  % 15,113  19.9  % 1.51  %
2023 6.0  % 34,418  12.0  % 8,867  11.8  % 1.27  % 4.4  % 36,827  12.7  % 9,479  12.5  % 1.12  %
2024 2.8  % 42,851  15.0  % 10,700  14.3  % 0.59  % 0.9  % 45,502  15.7  % 11,345  14.9  % 0.30  %
2025 0.1  % 20,846  7.3  % 5,104  6.8  % 0.05  %
Total 100.0  % $ 286,410  100.0  % $ 74,948  100.0  % 1.93  % 100.0  % $ 290,435  100.0  % $ 76,034  100.0  % 2.09  %

(1)    Total reserves for losses and loss adjustment expenses, net of recoverables, was $323.7 million at June 30, 2025, compared to $332.6 million at December 31, 2024.
(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,
  2025 2025 2024 2024 2024 2025 2024
Gross premiums written $ 6,196  $ 6,463  $ 4,756  $ 5,440  $ 5,382  $ 12,659  $ 11,315 
Premiums ceded (1,848) (1,948) (937) (1,393) (1,601) (3,796) (3,449)
Net premiums written 4,348  4,515  3,819  4,047  3,781  8,863  7,866 
Change in unearned premiums (11) (327) 324  (77) (216) (338) (879)
Net premiums earned 4,337  4,188  4,143  3,970  3,565  8,525  6,987 
Other underwriting income 62  53  115  15 
Losses and loss adjustment expenses (2,303) (2,587) (2,384) (2,403) (1,827) (4,890) (3,555)
Acquisition expenses (824) (764) (730) (681) (633) (1,588) (1,240)
Other operating expenses (454) (473) (410) (353) (346) (927) (709)
Underwriting income (loss) (1) $ 818  $ 417  $ 625  $ 538  $ 762  $ 1,235  $ 1,498 
Underwriting Ratios
Loss ratio 53.1  % 61.8  % 57.5  % 60.5  % 51.2  % 57.4  % 50.9  %
Acquisition expense ratio 19.0  % 18.3  % 17.6  % 17.2  % 17.8  % 18.6  % 17.8  %
Other operating expense ratio 9.1  % 10.0  % 9.9  % 8.9  % 9.7  % 9.5  % 10.1  %
Combined ratio 81.2  % 90.1  % 85.0  % 86.6  % 78.7  % 85.5  % 78.8  %
Catastrophic activity and prior year development:
Current accident year catastrophic events, net of reinsurance and reinstatement premiums 3.5  % 13.1  % 9.5  % 11.3  % 5.5  % 8.2  % 3.6  %
Net (favorable) adverse development in prior year loss reserves, net of related adjustments (3.2) % (4.0) % (3.5) % (3.0) % (3.5) % (3.6) % (3.6) %
Combined ratio excluding catastrophic activity and prior year development (1) 80.9  % 81.0  % 79.0  % 78.3  % 76.7  % 80.9  % 78.8  %
Components of losses and loss adjustment expenses incurred
Paid losses and loss adjustment expenses $ 1,744  $ 1,761  $ 1,554  $ 1,329  $ 1,120  $ 3,505  $ 2,190 
Change in unpaid losses and loss adjustment expenses 559  826  830  1,074  707  1,385  1,365 
Total losses and loss adjustment expenses $ 2,303  $ 2,587  $ 2,384  $ 2,403  $ 1,827  $ 4,890  $ 3,555 
Net premiums written to gross premiums written 70.2  % 69.9  % 80.3  % 74.4  % 70.3  % 70.0  % 69.5  %
 
(1)See ‘Comments on Non-GAAP Financial Measures’ 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,
  2025 2025 2024 2024 2024 2025 2024
Estimated net (favorable) adverse development in prior year loss reserves, net of related adjustments
Net impact on underwriting results:
Insurance $ (2) $ (10) $ (2) $ (12) $ (4) $ (12) $ (11)
Reinsurance (69) (92) (76) (36) (31) (161) (72)
Mortgage (68) (65) (68) (71) (89) (133) (167)
Total $ (139) $ (167) $ (146) $ (119) $ (124) $ (306) $ (250)
Impact on losses and loss adjustment expenses:
Insurance $ (8) $ (17) $ (6) $ (16) $ (5) $ (25) $ (15)
Reinsurance (81) (119) (73) (41) (34) (200) (74)
Mortgage (64) (61) (62) (64) (82) (125) (156)
Total $ (153) $ (197) $ (141) $ (121) $ (121) $ (350) $ (245)
Impact on acquisition expenses:
Insurance $ $ $ $ $ $ 13  $
Reinsurance 12  27  (3) 39 
Mortgage (4) (4) (6) (7) (7) (8) (11)
Total $ 14  $ 30  $ (5) $ $ (3) $ 44  $ (5)
Impact on combined ratio:
Insurance (0.1) % (0.5) % (0.1) % (0.7) % (0.2) % (0.3) % (0.3) %
Reinsurance (3.3) % (4.5) % (4.0) % (1.9) % (1.8) % (3.9) % (2.1) %
Mortgage (24.1) % (21.8) % (22.3) % (22.8) % (29.0) % (22.9) % (27.4) %
Total (3.2) % (4.0) % (3.5) % (3.0) % (3.5) % (3.6) % (3.6) %
Impact on loss ratio:
Insurance (0.4) % (0.9) % (0.3) % (0.9) % (0.3) % (0.6) % (0.5) %
Reinsurance (3.9) % (5.9) % (3.8) % (2.2) % (1.9) % (4.9) % (2.2) %
Mortgage (22.8) % (20.4) % (20.2) % (20.5) % (26.9) % (21.6) % (25.6) %
Total (3.5) % (4.7) % (3.4) % (3.1) % (3.4) % (4.1) % (3.5) %
Impact on acquisition expense ratio:
Insurance 0.3  % 0.4  % 0.2  % 0.2  % 0.1  % 0.3  % 0.2  %
Reinsurance 0.6  % 1.4  % (0.2) % 0.3  % 0.1  % 1.0  % 0.1  %
Mortgage (1.3) % (1.4) % (2.1) % (2.3) % (2.1) % (1.3) % (1.8) %
Total 0.3  % 0.7  % (0.1) % 0.1  % (0.1) % 0.5  % (0.1) %
Estimated net losses incurred from current accident year catastrophic events (1)
Insurance $ 58  $ 177  $ 161  $ 86  $ 30  $ 235  $ 57 
Reinsurance 96  370  232  364  166  466  197 
Total $ 154  $ 547  $ 393  $ 450  $ 196  $ 701  $ 254 
Impact on combined ratio:
Insurance 2.9  % 9.5  % 8.3  % 4.9  % 2.0  % 6.1  % 1.9  %
Reinsurance 4.6  % 18.3  % 12.2  % 19.3  % 9.4  % 11.3  % 5.7  %
Total 3.5  % 13.1  % 9.5  % 11.3  % 5.5  % 8.2  % 3.6  %
(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 and reinsurance segments generally include (i) North American events with a Property Claim Services ("PCS") code and (ii) named catastrophic events outside of North America. 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,
2025 2025 2024 2024 2024
Investable assets:
Fixed maturities available for sale, at fair value $ 30,332  67.5  % $ 28,798  66.9  % $ 27,035  65.3  % $ 28,434  66.5  % $ 25,202  66.7  %
Fixed maturities—fair value option (1) 1,009  2.2  % 913  2.1  % 854  2.1  % 1,097  2.6  % 973  2.6  %
Total fixed maturities 31,341  69.7  % 29,711  69.0  % 27,889  67.4  % 29,531  69.1  % 26,175  69.2  %
Equity securities, at fair value 1,715  3.8  % 1,618  3.8  % 1,675  4.0  % 1,623  3.8  % 1,397  3.7  %
Equity securities—fair value option (1) 0.0  % 0.0  % 0.0  % 0.0  % 0.0  %
Total equity securities 1,720  3.8  % 1,623  3.8  % 1,682  4.1  % 1,630  3.8  % 1,404  3.7  %
Other investments—fair value option (1) 1,810  4.0  % 1,866  4.3  % 2,135  5.2  % 2,096  4.9  % 2,189  5.8  %
Investments accounted for using the equity method (2) 6,566  14.6  % 6,340  14.7  % 5,980  14.4  % 5,244  12.3  % 4,983  13.2  %
Short-term investments available for sale, at fair value 2,788  6.2  % 2,477  5.8  % 2,784  6.7  % 3,341  7.8  % 2,297  6.1  %
Short-term investments—fair value option (1) 68  0.2  % 104  0.2  % 70  0.2  % 61  0.1  % 37  0.1  %
Total short-term investments 2,856  6.4  % 2,581  6.0  % 2,854  6.9  % 3,402  8.0  % 2,334  6.2  %
Cash 983  2.2  % 1,187  2.8  % 979  2.4  % 1,025  2.4  % 1,020  2.7  %
Securities transactions entered into but not settled at the balance sheet date (338) (0.8) % (254) (0.6) % (131) (0.3) % (177) (0.4) % (294) (0.8) %
Total investable assets held by the Company $ 44,938  100.0  % $ 43,054  100.0  % $ 41,388  100.0  % $ 42,751  100.0  % $ 37,811  100.0  %
Average effective duration of fixed maturities (in years) (3) 3.48  3.32  3.31  3.14   3.32
Average S&P/Moody’s credit ratings (4)  AA-/Aa3  AA-/Aa3  AA-/Aa3  AA-/Aa3  AA-/Aa3  
(1)     Included in “other investments” on the balance sheet.
(2)    Changes in the carrying value of investments accounted for using the equity method are recorded as “equity in net income of investments accounted for using the equity method” rather than as                 an unrealized gain or loss component of accumulated other comprehensive income.
(3)     During the 2024 fourth quarter, the Company changed its presentation from a total portfolio duration to a duration on fixed maturities and short-term investments.
(4)    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,
  2025 2025 2024 2024 2024 2025 2024
Composition of pre-tax net investment income:              
Fixed maturities $ 360  $ 342  $ 340  $ 340  $ 306  $ 702  $ 586 
Short-term investments 24  26  42  38  35  50  64 
Equity securities (dividends) 10  11  13  10  21  18 
Other (1) 35  28  33  35  35  63  68 
Gross investment income 429  407  428  422  386  836  736 
Investment expenses (24) (29) (23) (23) (22) (53) (45)
Pre-tax net investment income $ 405  $ 378  $ 405  $ 399  $ 364  $ 783  $ 691 
Per share $ 1.07  $ 0.99  $ 1.06  $ 1.04  $ 0.95  $ 2.06  $ 1.81 
Pre-tax equity in net income of investments accounted for using the equity method 162  53  143  171  167  215  266 
Per share $ 0.43  $ 0.14  $ 0.37  $ 0.45  $ 0.44  $ 0.56  $ 0.70 
Investment income yield, at amortized cost (2):
Pre-tax 4.25  % 4.16  % 4.32  % 4.40  % 4.39  % 4.19  % 4.36  %
After-tax 3.43  % 3.35  % 3.83  % 3.88  % 3.87  % 3.38  % 3.83  %
Total return on investments (3) 3.09  % 2.02  % (1.05) % 3.97  % 1.33  % 5.17  % 2.14  %
(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 investments 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 Non-GAAP Financial Measures’ 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, 2025
Corporates $ 15,417  $ 273  $ (218) $ 55  $ (16) $ 15,378  100.3  % 49.2  %
U.S. government and government agencies 6,591  38  (48) (10) —  6,601  99.8  % 21.0  %
Non-U.S. government securities 3,164  82  (70) 12  (2) 3,154  100.3  % 10.1  %
Asset-backed securities 2,770  18  (20) (2) (10) 2,782  99.6  % 8.8  %
Residential mortgage-backed securities 2,386  24  (24) —  —  2,386  100.0  % 7.6  %
Commercial mortgage-backed securities 838  (7) —  —  838  100.0  % 2.7  %
Municipal bonds 175  —  (7) (7) —  182  96.2  % 0.6  %
Total $ 31,341  $ 442  $ (394) $ 48  $ (28) $ 31,321  100.1  % 100.0  %
At December 31, 2024
Corporates $ 13,319  $ 110  $ (346) $ (236) $ (12) $ 13,567  98.2  % 47.8  %
U.S. government and government agencies 6,724  (149) (141) —  6,865  97.9  % 24.1  %
Non-U.S. government securities 2,546  30  (107) (77) (1) 2,624  97.0  % 9.1  %
Asset-backed securities 2,900  19  (32) (13) (8) 2,921  99.3  % 10.4  %
Residential mortgage-backed securities 1,079  (31) (25) —  1,104  97.7  % 3.9  %
Commercial mortgage-backed securities 1,058  (11) (5) (1) 1,064  99.4  % 3.8  %
Municipal bonds 263  —  (16) (16) —  279  94.3  % 0.9  %
Total $ 27,889  $ 179  $ (692) $ (513) $ (22) $ 28,424  98.1  % 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,
2025 2025 2024 2024 2024
Credit quality distribution of total fixed maturities (1):
U.S. government and government agencies (2) $ 8,355  26.7  % $ 7,827  26.3  % $ 7,498  26.9  % $ 6,725  22.8  % $ 6,041  23.1  %
AAA 4,745  15.1  % 4,698  15.8  % 4,330  15.5  % 4,876  16.5  % 4,599  17.6  %
AA 2,491  7.9  % 2,287  7.7  % 2,285  8.2  % 2,552  8.6  % 2,507  9.6  %
A 6,645  21.2  % 5,931  20.0  % 5,138  18.4  % 5,664  19.2  % 4,854  18.5  %
BBB 6,673  21.3  % 6,625  22.3  % 6,467  23.2  % 7,361  24.9  % 6,144  23.5  %
BB 1,110  3.5  % 1,051  3.5  % 978  3.5  % 1,097  3.7  % 979  3.7  %
B 657  2.1  % 605  2.0  % 458  1.6  % 534  1.8  % 521  2.0  %
Lower than B 30  0.1  % 26  0.1  % 28  0.1  % 37  0.1  % 29  0.1  %
Not rated 635  2.0  % 661  2.2  % 707  2.5  % 685  2.3  % 501  1.9  %
Total fixed maturities, at fair value $ 31,341  100.0  % $ 29,711  100.0  % $ 27,889  100.0  % $ 29,531  100.0  % $ 26,175  100.0  %
Maturity profile of total fixed maturities:
Due in one year or less $ 518  1.7  % $ 533  1.8  % $ 486  1.7  % $ 506  1.7  % $ 672  2.6  %
Due after one year through five years 17,632  56.3  % 16,570  55.8  % 15,880  56.9  % 16,255  55.0  % 14,036  53.6  %
Due after five years through ten years 6,350  20.3  % 6,179  20.8  % 5,993  21.5  % 6,760  22.9  % 5,852  22.4  %
Due after 10 years 847  2.7  % 656  2.2  % 493  1.8  % 562  1.9  % 469  1.8  %
25,347  80.9  % 23,938  80.6  % 22,852  81.9  % 24,083  81.6  % 21,029  80.3  %
Residential mortgage-backed securities 2,386  7.6  % 1,755  5.9  % 1,079  3.9  % 1,313  4.4  % 1,186  4.5  %
Commercial mortgage-backed securities 838  2.7  % 931  3.1  % 1,058  3.8  % 1,146  3.9  % 1,160  4.4  %
Asset-backed securities 2,770  8.8  % 3,087  10.4  % 2,900  10.4  % 2,989  10.1  % 2,800  10.7  %
Total fixed maturities, at fair value $ 31,341  100.0  % $ 29,711  100.0  % $ 27,889  100.0  % $ 29,531  100.0  % $ 26,175  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,
2025 2025 2024 2024 2024
Sector:
Industrials $ 7,974  51.7  % $ 7,157  49.1  % $ 6,673  50.1  % $ 8,145  54.0  % $ 6,886  53.0  %
Financials 5,939  38.5  % 5,881  40.3  % 5,207  39.1  % 5,208  34.5  % 4,573  35.2  %
Utilities 1,201  7.8  % 1,039  7.1  % 951  7.1  % 1,237  8.2  % 1,135  8.7  %
All other (1) 303  2.0  % 512  3.5  % 488  3.7  % 491  3.3  % 401  3.1  %
Total $ 15,417  100.0  % $ 14,589  100.0  % $ 13,319  100.0  % $ 15,081  100.0  % $ 12,995  100.0  %
Credit quality distribution (2):
AAA $ 180  1.2  % $ 194  1.3  % $ 196  1.5  % $ 241  1.6  % $ 213  1.6  %
AA 953  6.2  % 915  6.3  % 918  6.9  % 1,002  6.6  % 1,061  8.2  %
A 5,712  37.1  % 5,092  34.9  % 4,248  31.9  % 4,771  31.6  % 4,092  31.5  %
BBB 6,392  41.5  % 6,308  43.2  % 6,119  45.9  % 7,022  46.6  % 5,819  44.8  %
BB 1,054  6.8  % 1,001  6.9  % 900  6.8  % 1,019  6.8  % 909  7.0  %
B 652  4.2  % 604  4.1  % 454  3.4  % 529  3.5  % 516  4.0  %
Lower than B 30  0.2  % 26  0.2  % 28  0.2  % 37  0.2  % 29  0.2  %
Not rated 444  2.9  % 449  3.1  % 456  3.4  % 460  3.1  % 356  2.7  %
Total $ 15,417  100.0  % $ 14,589  100.0  % $ 13,319  100.0  % $ 15,081  100.0  % $ 12,995  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, 2025:
(U.S. Dollars in millions) Fair
Value
% of Asset Class % of Investable Assets Credit Quality (1)
Issuer:
JPMorgan Chase & Co. $ 417  2.7  % 0.9  % A/A1
Morgan Stanley 367  2.4  % 0.8  % A/A1
Bank of America Corporation 357  2.3  % 0.8  % A-/A1
The Goldman Sachs Group, Inc. 263  1.7  % 0.6  % A-/A2
Wells Fargo & Company 261  1.7  % 0.6  % BBB+/A1
Citigroup Inc. 214  1.4  % 0.5  % A-/A2
Philip Morris International Inc. 206  1.3  % 0.5  % A-/A2
The Toronto-Dominion Bank 181  1.2  % 0.4  % A-/A2
Blue Owl Capital Inc. 176  1.1  % 0.4  % BBB-/Baa3
Deutsche Telekom AG 149  1.0  % 0.3  % BBB/Baa2
Total $ 2,591  16.8  % 5.8  %
 
(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, 2025            
Residential mortgage-backed securities $ 1,759  $ 626  $ $ —  $ —  $ —  $ 2,386 
Commercial mortgage-backed securities 415  172  45  132  68  838 
Asset-backed securities —  1,426  317  725  125  177  2,770 
Total $ 1,765  $ 2,467  $ 490  $ 770  $ 257  $ 245  $ 5,994 
At December 31, 2024
Residential mortgage-backed securities $ 769  $ 309  $ —  $ $ —  $ —  $ 1,079 
Commercial mortgage-backed securities 556  193  63  147  92  1,058 
Asset-backed securities —  1,432  336  715  184  233  2,900 
Total $ 776  $ 2,297  $ 529  $ 779  $ 331  $ 325  $ 5,037 
29

Arch Capital Group Ltd. and Subsidiaries
Comments on Non-GAAP Financial Measures
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 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, changes in the allowance for credit losses on financial assets and gains and losses realized from the acquisition or disposition of subsidiaries), equity in net income or loss of investments 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 investments 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 investments 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 investments 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.

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 include certain income and expense items which are included in corporate. 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. Effective in the 2025 first quarter, the ‘Other operating expense ratio’ includes ‘Other underwriting income.’
Total return on investments includes investment income, equity in net income or loss of investments 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,
  2025 2025 2024 2024 2024 2025 2024
Net income available to Arch common shareholders $ 1,227  $ 564  $ 925  $ 978  $ 1,259  $ 1,791  $ 2,369 
Net realized (gains) losses (1) (229) (3) 161  (169) (122) (232) (189)
Equity in net (income) of investments accounted for using the equity method (162) (53) (143) (171) (167) (215) (266)
Net foreign exchange (gains) losses 88  27  (106) 63  (1) 115  (32)
Transaction costs and other 18  10  26  30  18  28  25 
Income tax expense (benefit) (2) 37  42  31  (6) 79 
After-tax operating income available to Arch common shareholders $ 979  $ 587  $ 866  $ 762  $ 981  $ 1,566  $ 1,914 
Diluted per common share results:
Net income available to Arch common shareholders $ 3.23  $ 1.48  $ 2.42  $ 2.56  $ 3.30  $ 4.70  $ 6.22 
Net realized (gains) losses (1) (0.60) (0.01) 0.41  (0.44) (0.32) (0.61) (0.50)
Equity in net (income) of investments accounted for using the equity method (0.43) (0.14) (0.37) (0.45) (0.44) (0.57) (0.70)
Net foreign exchange (gains) losses 0.23  0.07  (0.28) 0.16  0.00  0.30  (0.09)
Transaction costs and other 0.05  0.03  0.07  0.08  0.05  0.08  0.07 
Income tax expense (benefit) (2) 0.10  0.11  0.01  0.08  (0.02) 0.21  0.02 
After-tax operating income available to Arch common shareholders $ 2.58  $ 1.54  $ 2.26  $ 1.99  $ 2.57  $ 4.11  $ 5.02 
Weighted average common shares and common share equivalents outstanding - diluted 379.9  381.9  382.8  382.3  381.6  380.8  380.9 
Beginning common shareholders’ equity $ 20,715  $ 19,990  $ 21,444  $ 19,835  $ 18,525  $ 19,990  $ 17,523 
Ending common shareholders’ equity 22,211  20,715  19,990  21,444  19,835  22,211  19,835 
Average common shareholders’ equity $ 21,463  $ 20,353  $ 20,717  $ 20,640  $ 19,180  $ 21,101  $ 18,679 
Annualized net income return on average common equity 22.9  % 11.1  % 17.9  % 19.0  % 26.3  % 17.0  % 25.4  %
Annualized operating return on average common equity 18.2  % 11.5  % 16.7  % 14.8  % 20.5  % 14.8  % 20.5  %

(1)    Net realized gains or losses include 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, changes in the allowance for credit losses on financial assets and gains and losses realized from the acquisition or disposition of subsidiaries.
(2)    Income tax expense (benefit) on net realized gains or losses, equity in net income of investments accounted for using the equity method, net foreign exchange gains or losses and transaction costs and other reflects the relative mix reported by jurisdiction and the varying tax rates in each jurisdiction.

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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,
  2025 2025 2024 2024 2024 2025 2024
Arch Operating Income Components:
Income (loss) before income taxes and income (loss) from operating affiliates $ 1,411  $ 678  $ 937  $ 1,050  $ 1,321  $ 2,089  $ 2,487 
Net realized (gains) losses (229) (3) 161  (169) (122) (232) (189)
Equity in net (income) of investments accounted for using the equity method (162) (53) (143) (171) (167) (215) (266)
Net foreign exchange (gains) losses 88  27  (106) 63  —  115  (31)
Transaction costs and other 18  10  26  30  18  28  25 
Income (loss) from operating affiliates
40  17  64  36  45  57  100 
Pre-tax operating income available to Arch (b) 1,166  676  939  839  1,095  1,842  2,126 
Income tax (expense) benefit (a) (177) (79) (63) (67) (104) (256) (192)
After-tax operating income available to Arch 989  597  876  772  991  1,586  1,934 
Preferred dividends (10) (10) (10) (10) (10) (20) (20)
After-tax operating income available to Arch common shareholders $ 979  $ 587  $ 866  $ 762  $ 981  $ 1,566  $ 1,914 
Effective tax rate on pre-tax operating income (loss) available to Arch (a)/(b) 15.2  % 11.7  % 6.7  % 8.0  % 9.5  % 13.9  % 9.0  %

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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,
2025 2025 2024 2024 2024
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 (22) (22) (22) (23) (23)
Revolving credit agreement borrowings, due August 23, 2028 —  —  —  —  — 
Total debt $ 2,728  $ 2,728  $ 2,728  $ 2,727  $ 2,727 
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) 22,211  20,715  19,990  21,444  19,835 
Total shareholders’ equity available to Arch $ 23,041  $ 21,545  $ 20,820  $ 22,274  $ 20,665 
Total capital available to Arch $ 25,769  $ 24,273  $ 23,548  $ 25,001  $ 23,392 
Common shares outstanding, net of treasury shares (b) 375.4  375.6  376.4  376.2  376.0 
Book value per common share (3) (a)/(b) $ 59.17  $ 55.15  $ 53.11  $ 57.00  $ 52.75 
Leverage ratios:
Senior notes/total capital available to Arch 10.6  % 11.2  % 11.6  % 10.9  % 11.7  %
Revolving credit agreement borrowings/total capital available to Arch —  % —  % —  % —  % —  %
Debt/total capital available to Arch 10.6  % 11.2  % 11.6  % 10.9  % 11.7  %
Preferred/total capital available to Arch 3.2  % 3.4  % 3.5  % 3.3  % 3.5  %
Debt and preferred/total capital available to Arch 13.8  % 14.7  % 15.1  % 14.2  % 15.2  %

(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,
  2025 2025 2024 2024 2024 2025
Effect of share repurchases:
Aggregate cost of shares repurchased $ 163.2  $ 196.4  $ 23.5  $ —  $ —  $ 6,252.8 
Shares repurchased 1.9  2.2  0.3  —  —  437.9 
Average price per share repurchased $ 87.94  $ 88.89  $ 89.63  $ —  $ —  $ 14.28 
Remaining share repurchase authorization (1) $ 637.1 
(1)    Repurchases under the share repurchase authorization may be effected from time to time in open market or privately negotiated transactions.
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