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RESERVE FOR LOSSES AND LOSS EXPENSES (Reserve Roll-Forward) (Details) - USD ($)
$ in Thousands
 3 Months Ended 9 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2021
Sep. 30, 2020
Liability for Unpaid Claims and Claims Adjustment Expense [Roll Forward]        
Gross reserve for losses and loss expenses, beginning of period     $ 13,926,766 $ 12,752,081
Less reinsurance recoverable on unpaid losses and loss expenses, beginning of period     (4,496,641) (3,877,756)
Net reserve for unpaid losses and loss expenses, beginning of period     9,430,125 8,874,325
Net incurred losses and loss expenses related to:        
Current year     2,315,697 2,473,363
Prior years $ (11,012) $ (584) (23,138) (9,351)
Net incurred losses and loss expenses     2,292,559 2,464,012
Net paid losses and loss expenses related to:        
Current year     (263,969) (227,332)
Prior years     (1,778,479) (1,831,192)
Net paid losses and loss expenses     (2,042,448) (2,058,524)
Foreign exchange and other     (10,885) 35,992
Net reserve for unpaid losses and loss expenses, end of period 9,669,351 9,315,805 9,669,351 9,315,805
Reinsurance recoverable on unpaid losses and loss expenses, end of period 4,989,645 4,337,683 4,989,645 4,337,683
Gross reserve for losses and loss expenses, end of period $ 14,658,996 $ 13,653,488 $ 14,658,996 $ 13,653,488