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Fair value measurements - Rollforward of level 3 fair value measurements (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Jun. 30, 2020
Jun. 30, 2019
Jun. 30, 2020
Jun. 30, 2019
Dec. 31, 2019
Rollforward of Level 3, Derivative instruments assets & (liabilities)          
Balance at beginning of the period $ (8.9) $ (4.8) $ 0.8 $ (0.5)  
Total realized and unrealized gains (losses) (5.7) (0.6) (19.0) (5.8)  
Purchases 0.0 0.0 0.0 0.0  
Sales/Settlements 16.1 1.8 19.7 2.7  
Balance at end of the period 1.5 (3.6) 1.5 (3.6)  
Hedge funds and private equity funds          
Rollforward of Level 3, (liabilities)          
Fair value of hedges 289.9 291.9 289.9 291.9 $ 269.0
Fixed maturity investments          
Rollforward of Level 3 Fair Value Measurements          
Balance at beginning of the period 2.6 0.0 17.0 5.4  
Total realized and unrealized gains (losses) 0.0 0.0 2.6 0.0  
Purchases 0.0 0.0 0.0 0.0  
Sales/Settlements 0.0 0.0 (17.0) (5.4)  
Balance at end of the period 2.6 0.0 2.6 0.0  
Other long-term investments          
Rollforward of Level 3 Fair Value Measurements          
Balance at beginning of the period 75.9 88.0 77.8 63.6  
Total realized and unrealized gains (losses) (4.2) 0.0 (5.1) 9.3  
Purchases 5.5 0.0 5.5 15.8  
Sales/Settlements 0.0 0.0 0.0 0.0  
Balance at end of the period 78.2 88.0 78.2 88.0  
Loan participation          
Rollforward of Level 3 Fair Value Measurements          
Balance at beginning of the period 19.9 0.0 20.0 0.0  
Total realized and unrealized gains (losses) 0.0 0.0 0.0 0.0  
Purchases 7.4 0.0 7.4 0.0  
Sales/Settlements 0.0 0.0 (0.1) 0.0  
Balance at end of the period 27.3 0.0 27.3 0.0  
Contingent consideration (liabilities)          
Rollforward of Level 3, (liabilities)          
Balance at beginning of the period (28.3) (28.8) (28.2) (28.8)  
Total realized and unrealized gains (losses) (0.1) (2.0) (0.2) (2.0)  
Foreign currency gains (losses) through Other Comprehensive Income 0.0 0.0 0.0 0.0  
Purchases 0.0 0.0 0.0 0.0  
Sales/Settlements 5.5 0.0 5.5 0.0  
Balance at end of the period (22.9) (30.8) (22.9) (30.8)  
Foreign currency gains (losses) through Other Comprehensive Income          
Rollforward of Level 3, Derivative instruments assets & (liabilities)          
Foreign currency gains (losses) through Other Comprehensive Income 0.0 0.0 0.0 0.0  
Foreign currency gains (losses) through Other Comprehensive Income | Fixed maturity investments          
Rollforward of Level 3 Fair Value Measurements          
Foreign currency gains (losses) through Other Comprehensive Income 0.0 0.0 0.0 0.0  
Foreign currency gains (losses) through Other Comprehensive Income | Other long-term investments          
Rollforward of Level 3 Fair Value Measurements          
Foreign currency gains (losses) through Other Comprehensive Income 1.0 0.0 0.0 (0.7)  
Foreign currency gains (losses) through Other Comprehensive Income | Loan participation          
Rollforward of Level 3 Fair Value Measurements          
Foreign currency gains (losses) through Other Comprehensive Income $ 0.0 $ 0.0 $ 0.0 $ 0.0