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Retirement and Share-based Compensation Plans (Changes in the Number of Stock Options Outstanding) (Details) (USD $)
In Thousands, except Share data, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Dec. 31, 2011
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]        
Outstanding, number of shares 4,044,175us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber 3,976,725us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber 5,732,450us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber 4,844,850us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
Outstanding, weighted-average exercise price per share $ 15.02us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice $ 10.86us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice $ 10.35us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice $ 10.13us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice
Outstanding, total exercise price $ 60,760ael_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingTotalExercisePrice $ 43,171ael_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingTotalExercisePrice $ 59,321ael_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingTotalExercisePrice $ 49,097ael_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingTotalExercisePrice
Granted, number of shares 1,277,650us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross 1,210,950us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross 1,558,900us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross  
Granted, weighted-average exercise price per share $ 24.79us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice $ 13.13us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice $ 10.40us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice  
Granted, total exercise price 31,673ael_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodTotalExercisePrice 15,899ael_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodTotalExercisePrice 16,216ael_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodTotalExercisePrice  
Canceled, number of shares (35,400)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod (29,400)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod (28,050)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod  
Canceled, weighted-average exercise price per share $ 11.64us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsForfeituresInPeriodWeightedAverageExercisePrice $ 9.96us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsForfeituresInPeriodWeightedAverageExercisePrice $ 8.97us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsForfeituresInPeriodWeightedAverageExercisePrice  
Canceled, total exercise price (412)ael_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriodTotalExercisePrice (293)ael_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriodTotalExercisePrice (251)ael_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriodTotalExercisePrice  
Exercised, number of shares (1,174,800)us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised (2,937,275)us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised (643,250)us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised  
Exercised, weighted-average exercise price per share $ 11.64us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice $ 10.81us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice $ 8.93us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice  
Exercised, total exercise price $ (13,672)ael_SharebasedCompensationArrangementbySharebasedPaymentAwardOptionsExercisedinPeriodTotalExercisePrice $ (31,756)ael_SharebasedCompensationArrangementbySharebasedPaymentAwardOptionsExercisedinPeriodTotalExercisePrice $ (5,741)ael_SharebasedCompensationArrangementbySharebasedPaymentAwardOptionsExercisedinPeriodTotalExercisePrice