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Unaudited Condensed Quarterly Financial Information (Details) - USD ($) $ / shares in Units, $ 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
Quarterly Financial Information Disclosure [Abstract] |  |  |  |  |  |  |  |  |  |  |
Net premiums written | $ 1,758,015 | $ 1,874,144 | $ 1,668,311 | $ 2,137,246 | $ 1,455,453 | $ 1,613,457 | $ 1,444,898 | $ 1,525,259 | $ 7,437,716 | $ 6,039,067 | $ 5,346,747
Net premiums earned | 1,811,045 | 1,771,092 | 1,665,354 | 1,744,444 | 1,515,882 | 1,438,023 | 1,463,727 | 1,368,866 | 6,991,935 | 5,786,498 | 5,231,975
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)
Underwriting income (loss) | 220,987 | 96,604 | (22,539) | 154,050 | 251,421 | 231,262 | 293,134 | 260,148 | 449,102 | 1,035,965 | 873,998
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
Net income (loss) attributable to Arch |  |  |  |  |  |  |  |  | 1,465,711 | 1,693,300 | 727,821
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)
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
Basic (per share) | $ 1.32 | $ 1.01 | $ 0.72 | $ 0.33 | $ 0.78 | $ 0.95 | $ 1.14 | $ 1.09 | $ 3.38 | $ 3.97 | $ 1.76
Diluted (per share) | $ 1.30 | $ 1.00 | $ 0.71 | $ 0.32 | $ 0.76 | $ 0.92 | $ 1.12 | $ 1.07 | $ 3.32 | $ 3.87 | $ 1.73

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