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Investment Securities - Trading Securities (Details) (Floating Interest Rate [Member], Asset-backed Securities [Member], USD $)
In Thousands, unless otherwise specified
Mar. 31, 2015
Dec. 31, 2014
Floating Interest Rate [Member] | Asset-backed Securities [Member]
   
Schedule of Trading Securities and Other Trading Assets [Line Items]    
Trading Securities, Debt, Amortized Cost $ 2,621us-gaap_TradingSecuritiesDebtAmortizedCost
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_AssetBackedSecuritiesMember
/ us-gaap_ProductOrServiceAxis
= agm_FloatingInterestRateMember
$ 2,868us-gaap_TradingSecuritiesDebtAmortizedCost
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_AssetBackedSecuritiesMember
/ us-gaap_ProductOrServiceAxis
= agm_FloatingInterestRateMember
Trading, at fair value $ 638us-gaap_TradingSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_AssetBackedSecuritiesMember
/ us-gaap_ProductOrServiceAxis
= agm_FloatingInterestRateMember
$ 689us-gaap_TradingSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_AssetBackedSecuritiesMember
/ us-gaap_ProductOrServiceAxis
= agm_FloatingInterestRateMember
Trading Securities, Weighted-Average Yield 4.26%agm_TradingSecuritiesWeightedAverageYield
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_AssetBackedSecuritiesMember
/ us-gaap_ProductOrServiceAxis
= agm_FloatingInterestRateMember
4.24%agm_TradingSecuritiesWeightedAverageYield
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_AssetBackedSecuritiesMember
/ us-gaap_ProductOrServiceAxis
= agm_FloatingInterestRateMember