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RESERVE FOR LOSSES AND LOSS EXPENSES (Reserve Roll-Forward) (Details) - USD ($)
$ in Thousands
 3 Months Ended
Mar. 31, 2021
Mar. 31, 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 720,035 914,186
Prior years (5,317) (6,113)
Net incurred losses and loss expenses 714,718 908,073
Net paid losses and loss expenses related to:    
Current year (26,944) (19,081)
Prior years (666,139) (652,014)
Net paid losses and loss expenses (693,083) (671,095)
Foreign exchange and other 40,282 (130,609)
Net reserve for unpaid losses and loss expenses, end of period 9,492,042 8,980,694
Reinsurance recoverable on unpaid losses and loss expenses, end of period 4,533,232 4,101,579
Gross reserve for losses and loss expenses, end of period $ 14,025,274 $ 13,082,273