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Schedule II - Condensed Financial Information of Registrant - Statement of Income (Details) - USD ($) $ in Thousands | 3 Months Ended | 12 Months Ended
--- | --- | ---
Dec. 31, 2020 | Sep. 30, 2020 | Jun. 30, 2020 | Mar. 31, 2020 | Dec. 31, 2019 | Sep. 30, 2019 | Jun. 30, 2019 | Mar. 31, 2019 | Dec. 31, 2020 | Dec. 31, 2019 | Dec. 31, 2018
Revenues |  |  |  |  |  |  |  |  |  |  |
Net investment income | $ 114,458 | $ 128,512 | $ 131,485 | $ 145,153 | $ 154,263 | $ 161,488 | $ 155,038 | $ 156,949 | $ 519,608 | $ 627,738 | $ 563,633
Net realized gains (losses) | 353,333 | 280,499 | 556,588 | (366,960) | 40,830 | 61,355 | 120,757 | 140,256 | 823,460 | 363,198 | (408,173)
Equity in net income (loss) of investment funds accounted for using the equity method |  |  |  |  |  |  |  |  | 146,693 | 123,672 | 45,641
Other income (loss) |  |  |  |  |  |  |  |  | 16,795 | 2,233 | 2,419
Total revenues |  |  |  |  |  |  |  |  | 8,525,275 | 6,928,200 | 5,450,568
Expenses |  |  |  |  |  |  |  |  |  |  |
Corporate expenses |  |  |  |  |  |  |  |  | 81,988 | 80,111 | 78,994
Interest expense |  |  |  |  |  |  |  |  | 143,456 | 120,872 | 120,484
Net foreign exchange gains (losses) |  |  |  |  |  |  |  |  | (83,634) | (20,609) | 69,402
Total expenses |  |  |  |  |  |  |  |  | 6,947,726 | 5,079,090 | 4,608,796
Income tax expense (benefit) |  |  |  |  |  |  |  |  | 111,838 | 155,810 | 113,951
Net income available to Arch | 543,544 | 419,039 | 298,821 | 144,117 | 326,384 | 392,453 | 468,954 | 448,528 | 1,405,521 | 1,636,319 | 757,971
Preferred share dividends | (10,403) | (10,403) | (10,403) | (10,403) | (10,403) | (10,403) | (10,403) | (10,403) | (41,612) | (41,612) | (41,645)
Loss on redemption of preferred shares |  |  |  |  |  |  |  |  | 0 | 0 | (2,710)
Net income available to Arch common shareholders | $ 533,141 | $ 408,636 | $ 288,418 | $ 133,714 | $ 315,981 | $ 382,050 | $ 458,551 | $ 438,125 | 1,363,909 | 1,594,707 | 713,616
Parent |  |  |  |  |  |  |  |  |  |  |
Revenues |  |  |  |  |  |  |  |  |  |  |
Net investment income |  |  |  |  |  |  |  |  | 53 | 212 | 49
Net realized gains (losses) |  |  |  |  |  |  |  |  | (2,110) | 0 | 29
Other income (loss) |  |  |  |  |  |  |  |  | (437) | (762) | 1,918
Total revenues |  |  |  |  |  |  |  |  | (2,494) | (550) | 1,996
Expenses |  |  |  |  |  |  |  |  |  |  |
Corporate expenses |  |  |  |  |  |  |  |  | 65,566 | 62,701 | 64,279
Interest expense |  |  |  |  |  |  |  |  | 40,445 | 22,154 | 22,147
Net foreign exchange gains (losses) |  |  |  |  |  |  |  |  | 3 | 1 | 30
Total expenses |  |  |  |  |  |  |  |  | 106,014 | 84,856 | 86,456
Income (loss) before income taxes |  |  |  |  |  |  |  |  | (108,508) | (85,406) | (84,460)
Income tax expense (benefit) |  |  |  |  |  |  |  |  | 0 | 0 | 0
Income (loss) before equity in net income of subsidiaries |  |  |  |  |  |  |  |  | (108,508) | (85,406) | (84,460)
Equity in net income of subsidiaries |  |  |  |  |  |  |  |  | 1,514,029 | 1,721,725 | 842,431
Net income available to Arch |  |  |  |  |  |  |  |  | 1,405,521 | 1,636,319 | 757,971
Preferred share dividends |  |  |  |  |  |  |  |  | (41,612) | (41,612) | (41,645)
Loss on redemption of preferred shares |  |  |  |  |  |  |  |  | 0 | 0 | (2,710)
Net income available to Arch common shareholders |  |  |  |  |  |  |  |  | $ 1,363,909 | $ 1,594,707 | $ 713,616

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