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Equity - Capital Requirements (Details) (USD $)
In Millions, unless otherwise specified
Mar. 31, 2015
Dec. 31, 2014
Regulatory Capital Requirements [Abstract]    
Capital Requirements, Minimum Capital, Percentage of Aggregate On-Balance Sheet Assets Included In Core Capital 2.75%agm_CapitalRequirementsMinimumCapitalPercentageOfAggregateOnBalanceSheetAssetsIncludedInCoreCapital  
Capital Requirements, Minimum Capital, Percentage of Aggregate Off-Balance Sheet Assets Included In Core Capital 0.75%agm_CapitalRequirementsMinimumCapitalPercentageOfAggregateOffBalanceSheetAssetsIncludedInCoreCapital  
Capital Requirements, Critical Capital, Percentage of Core Capital of Total Minimum Capital 50.00%agm_CapitalRequirementsCriticalCapitalPercentageOfCoreCapitalOfTotalMinimumCapital  
Capital Required for Capital Adequacy $ 434.2us-gaap_CapitalRequiredForCapitalAdequacy $ 421.3us-gaap_CapitalRequiredForCapitalAdequacy
Core Capital 531.3agm_CoreCapital 766.3agm_CoreCapital
Excess Capital, Core Capital In Excess of Capital Required for Capital Adequacy $ 97.1agm_ExcessCapitalCoreCapitalInExcessOfCapitalRequiredForCapitalAdequacy $ 345.0agm_ExcessCapitalCoreCapitalInExcessOfCapitalRequiredForCapitalAdequacy