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RESERVE FOR LOSSES AND LOSS EXPENSES (Reserve Roll-Forward) (Details) - USD ($)
$ in Thousands
 3 Months Ended
Mar. 31, 2020
Mar. 31, 2019
Liability for Unpaid Claims and Claims Adjustment Expense [Roll Forward]    
Gross reserve for losses and loss expenses, beginning of period $ 12,752,081 $ 12,280,769
Less reinsurance recoverable on unpaid losses and loss expenses, beginning of period (3,877,756) (3,501,669)
Net reserve for unpaid losses and loss expenses, beginning of period 8,874,325 8,779,100
Net incurred losses and loss expenses related to:    
Current year 914,186 678,700
Prior years (6,113) (14,672)
Net incurred losses and loss expenses 908,073 664,028
Net paid losses and loss expenses related to:    
Current year (19,081) (37,600)
Prior years (652,014) (691,558)
Net paid losses and loss expenses (671,095) (729,158)
Foreign exchange and other (130,609) 6,460
Net reserve for unpaid losses and loss expenses, end of period 8,980,694 8,720,430
Reinsurance recoverable on unpaid losses and loss expenses, end of period 4,101,579 3,555,341
Gross reserve for losses and loss expenses, end of period $ 13,082,273 $ 12,275,771