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Fair Value Disclosures - Narrative (Details) (USD $)
Dec. 31, 2014
Dec. 31, 2013
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Derivative Credit Risk Valuation Adjustment, Derivative Assets and Liabilities $ 200,000agm_DerivativeCreditRiskValuationAdjustmentDerivativeAssetsAndLiabilities $ 0agm_DerivativeCreditRiskValuationAdjustmentDerivativeAssetsAndLiabilities
Level 3 [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Assets and Liabilities, Fair Value Disclosure $ 5,500,000,000agm_AssetsAndLiabilitiesFairValueDisclosure
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$ 6,800,000,000agm_AssetsAndLiabilitiesFairValueDisclosure
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
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Fair Value, Assets and Liabilities Fair Value as Percent of Total Assets 38.00%agm_FairValueAssetsAndLiabilitiesFairValueAsPercentOfTotalAssets
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51.00%agm_FairValueAssetsAndLiabilitiesFairValueAsPercentOfTotalAssets
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Fair Value, Assets and Liabilities, Fair Value as Percent of Total Financial Instruments Measured at Fair Value 73.00%agm_FairValueAssetsAndLiabilitiesFairValueAsPercentOfTotalFinancialInstrumentsMeasuredAtFairValue
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73.00%agm_FairValueAssetsAndLiabilitiesFairValueAsPercentOfTotalFinancialInstrumentsMeasuredAtFairValue
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= us-gaap_FairValueInputsLevel3Member