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Reinsurance (Effect of Reinsurance and Retrocessional Activity on Premiums Written and Earned and on Net Claims and Claim Expenses) (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
Premiums Written |  |  |  |  |  |  |  |  |  |  |
Direct |  |  |  |  |  |  |  |  | $ 612,172 | $ 461,409 | $ 337,587
Assumed |  |  |  |  |  |  |  |  | 5,193,993 | 4,346,341 | 2,972,840
Ceded |  |  |  |  |  |  |  |  | (1,709,832) | (1,426,257) | (1,178,525)
Net premiums written | $ 746,311 | $ 899,411 | $ 1,180,803 | $ 1,269,808 | $ 725,367 | $ 704,130 | $ 1,022,965 | $ 929,031 | 4,096,333 | 3,381,493 | 2,131,902
Premiums Earned |  |  |  |  |  |  |  |  |  |  |
Direct |  |  |  |  |  |  |  |  | 536,595 | 404,525 | 292,219
Assumed |  |  |  |  |  |  |  |  | 5,078,682 | 4,348,261 | 2,779,796
Ceded |  |  |  |  |  |  |  |  | (1,662,815) | (1,414,383) | (1,095,886)
Net premiums earned (Note 7) | 1,029,085 | 1,000,183 | 1,010,096 | 913,098 | 970,125 | 906,748 | 911,502 | 550,028 | 3,952,462 | 3,338,403 | 1,976,129
Claims and Claim Expenses |  |  |  |  |  |  |  |  |  |  |
Gross claims and claim expenses incurred |  |  |  |  |  |  |  |  | 3,893,204 | 3,221,778 | 2,578,536
Claims and claim expenses recovered |  |  |  |  |  |  |  |  | (968,595) | (1,124,757) | (1,458,518)
Net claims and claim expenses incurred | $ 901,353 | $ 942,030 | $ 510,272 | $ 570,954 | $ 762,093 | $ 654,520 | $ 453,373 | $ 227,035 | $ 2,924,609 | $ 2,097,021 | $ 1,120,018

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