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Equity - Capital Requirements (Details) (USD $)
In Millions, unless otherwise specified
Dec. 31, 2014
Dec. 31, 2013
Regulatory Capital Requirements [Abstract]    
Capital Requirements, Minimum Capital, Percentage of Aggregate On-Balance Sheet Assets Included In Core Capital 2.75%agm_CapitalRequirementsMinimumCapitalPercentageOfAggregateOnBalanceSheetAssetsIncludedInCoreCapital  
Excess Capital, Core Capital In Excess of Capital Required for Capital Adequacy $ 345.0agm_ExcessCapitalCoreCapitalInExcessOfCapitalRequiredForCapitalAdequacy $ 192.2agm_ExcessCapitalCoreCapitalInExcessOfCapitalRequiredForCapitalAdequacy
Excess Capital, Core Capital In Excess of Critical Capital 555.6agm_ExcessCapitalCoreCapitalInExcessOfCriticalCapital 391.4agm_ExcessCapitalCoreCapitalInExcessOfCriticalCapital
Capital Required for Capital Adequacy 421.3us-gaap_CapitalRequiredForCapitalAdequacy 398.5us-gaap_CapitalRequiredForCapitalAdequacy
Capital Required for Critical Capital Adequacy 210.7agm_CapitalRequiredForCriticalCapitalAdequacy 199.3agm_CapitalRequiredForCriticalCapitalAdequacy
Core Capital 766.3agm_CoreCapital 590.7agm_CoreCapital
Risk-based Capital Required for Regulatory Capital Adequacy 121.6agm_RiskBasedCapitalRequiredForRegulatoryCapitalAdequacy 90.8agm_RiskBasedCapitalRequiredForRegulatoryCapitalAdequacy
Regulatory Capital 776.4agm_RegulatoryCapital 604.0agm_RegulatoryCapital
Excess Capital, Regulatory Capital In Excess of Risk-Based Capital $ 654.8agm_ExcessCapitalRegulatoryCapitalInExcessOfRiskBasedCapital $ 513.2agm_ExcessCapitalRegulatoryCapitalInExcessOfRiskBasedCapital
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