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Fair Value Measurements - Financial Assets Measured on Recurring Basis (Details) - USD ($)
Dec. 31, 2019
Dec. 31, 2018
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Catastrophe bonds trading, at fair value $ 29,400,000 $ 37,900,000
Derivatives at fair value 12,900,000 14,600,000
Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Loan notes issued by variable interest entities, at fair value (included within accrued expenses and other payables) 0 (4,600,000)
Total 6,629,200,000 6,667,200,000
Recurring | Derivatives at fair value | Foreign exchange contracts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivatives at fair value 12,900,000 14,600,000
Recurring | Derivatives at fair value | Interest rate swaps    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivatives at fair value (78,300,000)  
Recurring | Liabilities under derivative contracts | Foreign exchange contracts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Liabilities under derivative contracts, fair value (8,900,000) (15,100,000)
Recurring | Total fixed income securities — Available for sale | Non-agency commercial mortgage-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 6,500,000  
Recurring | Fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 4,958,200,000 5,230,700,000
Recurring | Short-term investments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 117,600,000 105,600,000
Recurring | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 1,128,800,000 1,187,800,000
Privately-held Investments, at fair value 279,700,000  
Catastrophe bonds trading, at fair value 28,600,000 36,200,000
Recurring | Short-term investments trading at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 79,200,000 9,500,000
Recurring | Real estate fund    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 111,400,000 102,500,000
Recurring | Level 1    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Loan notes issued by variable interest entities, at fair value (included within accrued expenses and other payables) 0 0
Total 2,033,500,000 1,986,300,000
Recurring | Level 1 | Derivatives at fair value | Foreign exchange contracts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivatives at fair value 0 0
Recurring | Level 1 | Derivatives at fair value | Interest rate swaps    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivatives at fair value 0  
Recurring | Level 1 | Liabilities under derivative contracts | Foreign exchange contracts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Liabilities under derivative contracts, fair value 0 0
Recurring | Level 1 | Total fixed income securities — Available for sale | Non-agency commercial mortgage-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0  
Recurring | Level 1 | Fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 1,612,900,000 1,672,200,000
Recurring | Level 1 | Short-term investments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 108,100,000 93,700,000
Recurring | Level 1 | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 233,300,000 215,900,000
Privately-held Investments, at fair value 0  
Catastrophe bonds trading, at fair value 0 0
Recurring | Level 1 | Short-term investments trading at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 79,200,000 4,500,000
Recurring | Level 1 | Real estate fund    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
Recurring | Level 2    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Loan notes issued by variable interest entities, at fair value (included within accrued expenses and other payables) 0 0
Total 4,204,600,000 4,583,000,000
Recurring | Level 2 | Derivatives at fair value | Foreign exchange contracts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivatives at fair value 12,900,000 14,600,000
Recurring | Level 2 | Derivatives at fair value | Interest rate swaps    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivatives at fair value (78,300,000)  
Recurring | Level 2 | Liabilities under derivative contracts | Foreign exchange contracts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Liabilities under derivative contracts, fair value (8,900,000) (15,100,000)
Recurring | Level 2 | Total fixed income securities — Available for sale | Non-agency commercial mortgage-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 6,500,000  
Recurring | Level 2 | Fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 3,345,300,000 3,558,500,000
Recurring | Level 2 | Short-term investments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 9,500,000 11,900,000
Recurring | Level 2 | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 895,500,000 971,900,000
Privately-held Investments, at fair value 0  
Catastrophe bonds trading, at fair value 28,600,000 36,200,000
Recurring | Level 2 | Short-term investments trading at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 5,000,000
Recurring | Level 2 | Real estate fund    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
Recurring | Level 3    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Loan notes issued by variable interest entities, at fair value (included within accrued expenses and other payables) 0 (4,600,000)
Total 279,700,000 (4,600,000)
Recurring | Level 3 | Derivatives at fair value | Foreign exchange contracts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivatives at fair value 0 0
Recurring | Level 3 | Derivatives at fair value | Interest rate swaps    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivatives at fair value 0  
Recurring | Level 3 | Liabilities under derivative contracts | Foreign exchange contracts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Liabilities under derivative contracts, fair value 0 0
Recurring | Level 3 | Total fixed income securities — Available for sale | Non-agency commercial mortgage-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0  
Recurring | Level 3 | Fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
Recurring | Level 3 | Short-term investments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
Recurring | Level 3 | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
Privately-held Investments, at fair value 279,700,000 0
Catastrophe bonds trading, at fair value 0 0
Recurring | Level 3 | Short-term investments trading at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
Recurring | Level 3 | Real estate fund    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
U.S. government | Recurring | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 1,413,100,000 1,404,200,000
U.S. government | Recurring | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 185,000,000 147,700,000
U.S. government | Recurring | Level 1 | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 1,413,100,000 1,404,200,000
U.S. government | Recurring | Level 1 | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 185,000,000 147,700,000
U.S. government | Recurring | Level 2 | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
U.S. government | Recurring | Level 2 | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
U.S. government | Recurring | Level 3 | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
U.S. government | Recurring | Level 3 | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
U.S. agency | Recurring | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 39,600,000 47,400,000
U.S. agency | Recurring | Level 1 | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
U.S. agency | Recurring | Level 2 | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 39,600,000 47,400,000
U.S. agency | Recurring | Level 3 | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
Municipal | Recurring | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 50,700,000 47,200,000
Municipal | Recurring | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 3,200,000 2,700,000
Municipal | Recurring | Level 1 | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
Municipal | Recurring | Level 1 | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
Municipal | Recurring | Level 2 | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 50,700,000 47,200,000
Municipal | Recurring | Level 2 | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 3,200,000 2,700,000
Municipal | Recurring | Level 3 | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
Municipal | Recurring | Level 3 | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
Corporate | Recurring | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 1,959,800,000 2,206,200,000
Corporate | Recurring | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 243,200,000 720,200,000
Corporate | Recurring | Level 1 | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
Corporate | Recurring | Level 1 | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
Corporate | Recurring | Level 2 | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 1,959,800,000 2,206,200,000
Corporate | Recurring | Level 2 | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 243,200,000 720,200,000
Corporate | Recurring | Level 3 | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
Corporate | Recurring | Level 3 | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
Non-U.S. government-backed corporate | Recurring | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 86,500,000 93,200,000
Non-U.S. government-backed corporate | Recurring | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
Non-U.S. government-backed corporate | Recurring | Level 1 | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
Non-U.S. government-backed corporate | Recurring | Level 1 | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
Non-U.S. government-backed corporate | Recurring | Level 2 | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 86,500,000 93,200,000
Non-U.S. government-backed corporate | Recurring | Level 2 | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
Non-U.S. government-backed corporate | Recurring | Level 3 | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
Non-U.S. government-backed corporate | Recurring | Level 3 | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
Non-U.S government | Recurring | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 328,800,000 402,600,000
Non-U.S government | Recurring | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 151,200,000 265,400,000
Non-U.S government | Recurring | Level 1 | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 199,800,000 268,000,000
Non-U.S government | Recurring | Level 1 | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 48,300,000 68,200,000
Non-U.S government | Recurring | Level 2 | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 129,000,000 134,600,000
Non-U.S government | Recurring | Level 2 | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 102,900,000 197,200,000
Non-U.S government | Recurring | Level 3 | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
Non-U.S government | Recurring | Level 3 | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
Asset-backed | Recurring | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 200,000 17,300,000
Asset-backed | Recurring | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 492,400,000 2,400,000
Asset-backed | Recurring | Level 1 | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
Asset-backed | Recurring | Level 1 | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
Asset-backed | Recurring | Level 2 | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 200,000 17,300,000
Asset-backed | Recurring | Level 2 | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 492,400,000 2,400,000
Asset-backed | Recurring | Level 3 | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
Asset-backed | Recurring | Level 3 | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
Agency mortgage-backed | Recurring | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 1,073,000,000 1,012,600,000
Agency mortgage-backed | Recurring | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 53,800,000 49,400,000
Agency mortgage-backed | Recurring | Level 1 | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
Agency mortgage-backed | Recurring | Level 1 | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
Agency mortgage-backed | Recurring | Level 2 | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 1,073,000,000 1,012,600,000
Agency mortgage-backed | Recurring | Level 2 | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 53,800,000 49,400,000
Agency mortgage-backed | Recurring | Level 3 | Total fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0 0
Agency mortgage-backed | Recurring | Level 3 | Held for trading financial assets, at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value $ 0 $ 0