| Analysis of underwriting income or loss by segment and reconciliation to net income available to common shareholders |
The following tables summarize the Company’s underwriting income or loss by segment, together with a reconciliation of underwriting income or loss to net income available to Arch common shareholders: | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Three Months Ended | | June 30, 2026 | | Insurance | | Reinsurance | | Mortgage | | | | | | Total | | | | | | | | | | | | | | Gross premiums written (1) | $ | 2,603 | | | $ | 3,202 | | | $ | 324 | | | | | | | $ | 6,126 | | | Premiums ceded (1) | (670) | | | (1,358) | | | (52) | | | | | | | (2,077) | | | Net premiums written | 1,933 | | | 1,844 | | | 272 | | | | | | | 4,049 | | | Change in unearned premiums | (53) | | | (24) | | | 13 | | | | | | | (64) | | | Net premiums earned | 1,880 | | | 1,820 | | | 285 | | | | | | | 3,985 | | | Other underwriting income (2) | 15 | | | 37 | | | 5 | | | | | | | 57 | | | Losses and loss adjustment expenses | (1,185) | | | (992) | | | (19) | | | | | | | (2,196) | | | Acquisition expenses | (375) | | | (341) | | | (2) | | | | | | | (718) | | | Other operating expenses (3) | (308) | | | (114) | | | (49) | | | | | | | (471) | | | Underwriting income (loss) | $ | 27 | | | $ | 410 | | | $ | 220 | | | | | | | 657 | | | | | | | | | | | | | | | Net investment income | | | | | | | | | | | 417 | | | Net realized gains (losses) | | | | | | | | | | | (17) | | | | | | | | | | | | | | | Equity in net income of investments accounted for using the equity method | | | | | | | | | | | 196 | | | Other income (loss) | | | | | | | | | | | 30 | | | Corporate expenses (4) | | | | | | | | | | | (12) | | | Transaction costs and other (4) | | | | | | | | | | | (32) | | | Amortization of intangible assets | | | | | | | | | | | (30) | | | Interest expense | | | | | | | | | | | (44) | | | Net foreign exchange gains (losses) | | | | | | | | | | | 10 | | | Income (loss) before income taxes and income (loss) from operating affiliates | | | | | | | | | | | 1,175 | | | Income tax (expense) benefit | | | | | | | | | | | (164) | | | Income (loss) from operating affiliates | | | | | | | | | | | 46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Net income (loss) available to Arch | | | | | | | | | | | 1,057 | | | Preferred dividends | | | | | | | | | | | (10) | | | | | | | | | | | | | | | Net income (loss) available to Arch common shareholders | | | | | | | | | | | $ | 1,047 | | | | | | | | | | | | | | | Underwriting Ratios | | | | | | | | | | | | | Loss ratio | 63.0 | % | | 54.6 | % | | 6.5 | % | | | | | | 55.1 | % | | Acquisition expense ratio | 19.9 | % | | 18.7 | % | | 0.9 | % | | | | | | 18.0 | % | | Other operating expense ratio (5) | 15.6 | % | | 4.2 | % | | 15.4 | % | | | | | | 10.4 | % | | Combined ratio | 98.5 | % | | 77.5 | % | | 22.8 | % | | | | | | 83.5 | % | | | | | | | | | | | | | | Goodwill and intangible assets | $ | 747 | | | $ | 91 | | | $ | 325 | | | | | | | $ | 1,163 | |
(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) ‘Other operating expenses’ primarily include expenses that are related to compensation and employee benefits, information technology and professional fees. (4) Certain expenses have been excluded from ‘Corporate expenses’ and reflected in ‘Transaction costs and other.’ (5) The ‘Other operating expense ratio’ includes ‘Other underwriting income.’ | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 | | | 3 | | | | | | | 62 | | | Losses and loss adjustment expenses | (1,178) | | | (1,128) | | | 3 | | | | | | | (2,303) | | | Acquisition expenses | (387) | | | (436) | | | (1) | | | | | | | (824) | | | Other operating expenses (3) | (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 (4) | | | | | | | | | | | (29) | | | Transaction costs and other (4) | | | | | | | | | | | (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 (5) | 14.0 | % | | 3.5 | % | | 16.0 | % | | | | | | 9.1 | % | | Combined ratio | 93.4 | % | | 78.5 | % | | 15.2 | % | | | | | | 81.2 | % | | | | | | | | | | | | | | Goodwill and intangible assets | $ | 875 | | | $ | 105 | | | $ | 339 | | | | | | | $ | 1,319 | |
(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) ‘Other operating expenses’ primarily include expenses that are related to compensation and employee benefits, information technology and professional fees. (4) Certain expenses have been excluded from ‘Corporate expenses’ and reflected in ‘Transaction costs and other.’ (5) The ‘Other operating expense ratio’ includes ‘Other underwriting income.’ | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Six Months Ended | | June 30, 2026 | | Insurance | | Reinsurance | | Mortgage | | | | | | Total | | | | | | | | | | | | | | Gross premiums written (1) | $ | 5,300 | | | $ | 6,616 | | | $ | 640 | | | | | | | $ | 12,551 | | | Premiums ceded (1) | (1,461) | | | (2,596) | | | (102) | | | | | | | (4,154) | | | Net premiums written | 3,839 | | | 4,020 | | | 538 | | | | | | | 8,397 | | | Change in unearned premiums | (88) | | | (369) | | | 31 | | | | | | | (426) | | | Net premiums earned | 3,751 | | | 3,651 | | | 569 | | | | | | | 7,971 | | | Other underwriting income (2) | 26 | | | 74 | | | 16 | | | | | | | 116 | | | Losses and loss adjustment expenses | (2,311) | | | (1,940) | | | (34) | | | | | | | (4,285) | | | Acquisition expenses | (750) | | | (688) | | | (10) | | | | | | | (1,448) | | | Other operating expenses (3) | (623) | | | (246) | | | (100) | | | | | | | (969) | | | Underwriting income (loss) | $ | 93 | | | $ | 851 | | | $ | 441 | | | | | | | 1,385 | | | | | | | | | | | | | | | Net investment income | | | | | | | | | | | 825 | | | Net realized gains (losses) | | | | | | | | | | | (104) | | | | | | | | | | | | | | | Equity in net income of investments accounted for using the equity method | | | | | | | | | | | 356 | | | Other income (loss) | | | | | | | | | | | 25 | | | Corporate expenses (4) | | | | | | | | | | | (43) | | | Transaction costs and other (4) | | | | | | | | | | | (50) | | | Amortization of intangible assets | | | | | | | | | | | (60) | | | Interest expense | | | | | | | | | | | (81) | | | Net foreign exchange gains (losses) | | | | | | | | | | | 31 | | | Income (loss) before income taxes and income (loss) from operating affiliates | | | | | | | | | | | 2,284 | | | Income tax (expense) benefit | | | | | | | | | | | (262) | | | Income (loss) from operating affiliates | | | | | | | | | | | 82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Net income (loss) available to Arch | | | | | | | | | | | 2,104 | | | Preferred dividends | | | | | | | | | | | (20) | | | | | | | | | | | | | | | Net income (loss) available to Arch common shareholders | | | | | | | | | | | $ | 2,084 | | | | | | | | | | | | | | | Underwriting Ratios | | | | | | | | | | | | | Loss ratio | 61.6 | % | | 53.1 | % | | 5.9 | % | | | | | | 53.8 | % | | Acquisition expense ratio | 20.0 | % | | 18.8 | % | | 1.9 | % | | | | | | 18.2 | % | | Other operating expense ratio (5) | 15.9 | % | | 4.7 | % | | 14.8 | % | | | | | | 10.7 | % | | Combined ratio | 97.5 | % | | 76.6 | % | | 22.6 | % | | | | | | 82.7 | % | | | | | | | | | | | | |
(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) ‘Other operating expenses’ primarily include expenses that are related to compensation and employee benefits, information technology and professional fees. (4) Certain expenses have been excluded from ‘Corporate expenses’ and reflected in ‘Transaction costs and other.’ (5) The ‘Other operating expense ratio’ includes ‘Other underwriting income.’ | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 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 (3) | (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 (4) | | | | | | | | | | | (79) | | | Transaction costs and other (4) | | | | | | | | | | | (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 (5) | 14.8 | % | | 3.9 | % | | 14.9 | % | | | | | | 9.5 | % | | Combined ratio | 96.7 | % | | 85.0 | % | | 15.8 | % | | | | | | 85.5 | % | | | | | | | | | | | | |
(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) ‘Other underwriting income’ includes revenue earned from underwriting-related activities covered under existing service contracts. (3) ‘Other operating expenses’ primarily include expenses that are related to compensation and employee benefits, information technology and professional fees. (4) Certain expenses have been excluded from ‘Corporate expenses’ and reflected in ‘Transaction costs and other.’ (5) The ‘Other operating expense ratio’ includes ‘Other underwriting income.’
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