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Fair Value Measurements - Financial Assets Measured on Recurring Basis (Details) - USD ($)
$ in Millions
Dec. 31, 2018
Dec. 31, 2017
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Catastrophe bonds trading, at fair value $ 37.9 $ 33.5
Derivatives at fair value 14.6 6.4
Accrued expenses (current liabilities) 5.7 52.5
Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Loan notes issued by variable interest entities, at fair value 0.0 (44.2)
Loan notes issued by variable interest entities, at fair value (included within accrued expenses and other payables) (4.6) (42.4)
Total 6,667.2 7,485.4
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 14.6 6.4
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 (15.1) (1.0)
Recurring | Fixed income securities — Available for sale    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 5,230.7 5,231.0
Recurring | Short-term investments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 105.6 89.9
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 1,187.8 1,649.3
Catastrophe bonds trading, at fair value 36.2 32.4
Recurring | Short-term investments trading at fair value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 9.5 73.0
Recurring | Equity investments trading    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0.0 491.0
Recurring | Real estate fund    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 102.5  
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 0.0 0.0
Loan notes issued by variable interest entities, at fair value (included within accrued expenses and other payables) 0.0 0.0
Total 1,986.3 2,338.3
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 0.0
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 0.0
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 1,672.2 1,500.6
Recurring | Level 1 | Short-term investments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 93.7 87.3
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 215.9 186.4
Catastrophe bonds trading, at fair value 0.0 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 4.5 73.0
Recurring | Level 1 | Equity investments trading    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0.0 491.0
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 0.0 0.0
Loan notes issued by variable interest entities, at fair value (included within accrued expenses and other payables) 0.0 0.0
Total 4,583.0 5,233.7
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 14.6 6.4
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 (15.1) (1.0)
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 3,558.5 3,730.4
Recurring | Level 2 | Short-term investments    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 11.9 2.6
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 971.9 1,462.9
Catastrophe bonds trading, at fair value 36.2 32.4
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 5.0 0.0
Recurring | Level 2 | Equity investments trading    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0.0 0.0
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 0.0 (44.2)
Total (4.6) (86.6)
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 0.0
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 0.0
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 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 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 0.0
Catastrophe bonds trading, at fair value 0.0 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 0.0
Recurring | Level 3 | Equity investments trading    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investments, fair value 0.0 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 1,404.2 1,159.4
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 147.7 161.9
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 1,404.2 1,159.4
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 147.7 161.9
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 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 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 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 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 47.4 52.1
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 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 47.4 52.1
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 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 47.2 54.9
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 2.7 32.2
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 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 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 47.2 54.9
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 2.7 32.2
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 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 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 2,206.2 2,415.7
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 720.2 1,046.3
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 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 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 2,206.2 2,415.7
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 720.2 1,046.3
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 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 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 93.2 91.3
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 1.0
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 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 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 93.2 91.3
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 1.0
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 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 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 402.6 484.9
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 265.4 202.5
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 268.0 341.2
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 68.2 24.5
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 134.6 143.7
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 197.2 178.0
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 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 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 17.3 26.2
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 2.4 9.9
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 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 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 17.3 26.2
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 2.4 9.9
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 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 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 1,012.6 946.5
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 49.4 195.5
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 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 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 1,012.6 946.5
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 49.4 195.5
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 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 0.0
Third party    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Accrued expenses (current liabilities) $ 4.6 $ 42.4