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Fair Value Measurements (Details Textual)
$ in Millions
12 Months Ended
Dec. 24, 2015
USD ($)
Dec. 31, 2015
USD ($)
professional
Dec. 31, 2014
USD ($)
Dec. 31, 2013
USD ($)
Fair Value Measurements (Textual) [Abstract]        
AFG's internal investment professionals | professional   25    
Level 3 assets as a percentage of total assets measured at fair value   4.00%    
Percentage of level 3 assets that were priced using non-binding broker quotes   76.00%    
Level 3 assets that were priced using non-binding broker quotes   $ 1,240    
Total realized/unrealized gains (losses) included in net income on liabilities still outstanding     $ 50 $ 7
Life contingent annuities   $ 200 203  
Maximum [Member]        
Fair Value Measurements (Textual) [Abstract]        
Percentage of internally developed Level 3 asset fair values to Shareholders' equity (are less than)   10.00%    
Fixed-indexed annuities (embedded derivative) [Member]        
Fair Value Measurements (Textual) [Abstract]        
Fair value of derivatives in annuity benefits accumulated measured using a discounted cash flow approach   $ 1,370    
Fixed-indexed annuities (embedded derivative) [Member] | Minimum [Member]        
Fair Value Measurements (Textual) [Abstract]        
Unobservable input surrenders used in Level 3 fair value determination   3.00%    
Fixed-indexed annuities (embedded derivative) [Member] | Maximum [Member]        
Fair Value Measurements (Textual) [Abstract]        
Unobservable input surrenders used in Level 3 fair value determination   18.00%    
Fixed-indexed annuities (embedded derivative), majority of future years [Member] | Minimum [Member]        
Fair Value Measurements (Textual) [Abstract]        
Unobservable input surrenders used in Level 3 fair value determination   5.00%    
Fixed-indexed annuities (embedded derivative), majority of future years [Member] | Maximum [Member]        
Fair Value Measurements (Textual) [Abstract]        
Unobservable input surrenders used in Level 3 fair value determination   10.00%    
Not Designated as Hedging Instrument [Member] | Annuity benefits [Member] | Fixed-indexed annuities (embedded derivative) [Member]        
Fair Value Measurements (Textual) [Abstract]        
Total realized/unrealized gains (losses) included in net income for the embedded derivatives related to the unlocking of actuarial assumptions   $ (28) $ 58 $ 2
Run-off long-term care insurance business [Member]        
Fair Value Measurements (Textual) [Abstract]        
Investment securities proceeds received from the sale of the run-off long-term care insurance business $ 11      
Estimated net sale proceeds of the run-off long-term care insurance business [1] 13      
Level 1 [Member] | Run-off long-term care insurance business [Member]        
Fair Value Measurements (Textual) [Abstract]        
Investment securities proceeds received from the sale of the run-off long-term care insurance business 5      
Level 2 [Member] | Run-off long-term care insurance business [Member]        
Fair Value Measurements (Textual) [Abstract]        
Investment securities proceeds received from the sale of the run-off long-term care insurance business 2      
Level 3 [Member] | Run-off long-term care insurance business [Member]        
Fair Value Measurements (Textual) [Abstract]        
Investment securities proceeds received from the sale of the run-off long-term care insurance business $ 4      
[1] Includes the fair value of the potential additional consideration and capital maintenance agreement and is shown net of estimated expenses.