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Consolidated Statements of Cash Flows - USD ($)
$ in Thousands
 12 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Dec. 31, 2019
Operating Activities      
Net income $ 2,239,462 $ 1,465,711 $ 1,693,300
Adjustments to reconcile net income to net cash provided by operating activities:      
Net realized (gains) losses (427,367) (844,625) (377,967)
Equity in net income or loss of investments accounted for using the equity method and other income or loss (464,050) (47,951) (14,013)
Amortization of intangible assets 82,955 69,031 82,104
Share-based compensation 87,094 71,262 66,417
Changes in:      
Reserve for losses and loss adjustment expenses, net of unpaid losses and loss adjustment expenses recoverable 1,762,190 2,113,827 489,981
Unearned premiums, net of ceded unearned premiums 936,039 445,781 252,569
Premiums receivable (685,214) (318,643) (237,752)
Deferred acquisition costs (263,243) (143,948) (47,260)
Reinsurance balances payable 500,065 65,950 182,132
Other items, net (340,376) 10,110 (41,052)
Net cash provided by operating activities 3,427,555 2,886,505 2,048,459
Investing Activities:      
Purchases of fixed maturity investments (35,451,858) (39,765,277) (30,053,777)
Purchases of equity securities (1,175,480) (1,595,010) (811,967)
Purchases of other investments (1,859,096) (1,808,727) (1,470,545)
Proceeds from the sale of fixed maturity investments 33,577,445 37,949,346 28,595,865
Proceeds from sales of equity securities 918,145 1,147,264 429,818
Proceeds from sales, redemptions and maturities of other investments 1,765,533 1,029,578 1,209,559
Proceeds from redemptions and maturities of fixed maturity investments 1,628,755 871,134 643,265
Net settlements of derivative instruments (40,072) 179,006 59,982
Net (purchases) sales of short-term investments 165,272 (1,029,681) 39,833
Change in cash collateral related to securities lending 0 81,210 (62,193)
Purchase of operating affiliate (753,916) 0 0
Impact of the deconsolidation of the variable interest entity (349,202) 0 0
Purchases of fixed assets (41,394) (39,872) (37,837)
Other (523,864) (62,197) (348,486)
Net cash provided by (used for) investing activities (2,139,732) (3,043,226) (1,806,483)
Financing Activities:      
Proceeds from issuance of preferred shares, net 485,821 0 0
Redemption of preferred shares (450,000) 0 0
Purchases of common shares under share repurchase program (1,234,294) (83,472) (2,871)
Proceeds from common shares issued, net 6,418 1,876 6,203
Proceeds from borrowings 0 1,018,793 200,083
Repayments of borrowings 0 (359,000) (49,182)
Change in cash collateral related to securities lending 0 (81,210) 62,193
Change in third party investment in non-redeemable noncontrolling interests 15,971 (2,867) (75,056)
Change in third party investment in redeemable noncontrolling interests 0 0 (161,882)
Dividends paid to redeemable noncontrolling interests (1,907) (4,945) (12,515)
Other (3,278) 73,715 (6,023)
Preferred dividends paid (48,280) (41,612) (41,612)
Net Cash Provided by (Used in) Financing Activities (1,229,549) 521,278 (80,662)
Effects of exchange rate changes on foreign currency cash and restricted cash (34,047) 22,289 17,741
Increase (decrease) in cash and restricted cash 24,227 386,846 179,055
Cash and restricted cash, beginning of year 1,290,544 903,698 724,643
Cash and restricted cash, end of year 1,314,771 1,290,544 903,698
Supplemental cash flow information      
Income taxes paid (received) 286,810 202,940 109,463
Interest paid $ 139,301 $ 133,491 $ 126,945