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Off-Balance Sheet Guarantees and Long Term Standby Purchase Commitments - Future Minimum Lease Payments and Other Contractual Obligations (Details) (USD $)
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Operating Leases, Future Minimum Payments Due, Fiscal Year Maturity [Abstract]      
Operating Leases, Rent Expense, Net $ 1,300,000us-gaap_OperatingLeasesRentExpenseNet $ 1,300,000us-gaap_OperatingLeasesRentExpenseNet $ 1,300,000us-gaap_OperatingLeasesRentExpenseNet
Operating Leases, Future Minimum Payments Due, Next Twelve Months 1,375,000us-gaap_OperatingLeasesFutureMinimumPaymentsDueCurrent    
Operating Leases, Future Minimum Payments, Due in Two Years 1,378,000us-gaap_OperatingLeasesFutureMinimumPaymentsDueInTwoYears    
Operating Leases, Future Minimum Payments, Due in Three Years 1,400,000us-gaap_OperatingLeasesFutureMinimumPaymentsDueInThreeYears    
Operating Leases, Future Minimum Payments, Due in Four Years 1,388,000us-gaap_OperatingLeasesFutureMinimumPaymentsDueInFourYears    
Operating Leases, Future Minimum Payments, Due in Five Years 1,389,000us-gaap_OperatingLeasesFutureMinimumPaymentsDueInFiveYears    
Operating Leases, Future Minimum Payments, Due Thereafter 6,951,000us-gaap_OperatingLeasesFutureMinimumPaymentsDueThereafter    
Operating Leases, Future Minimum Payments Due 13,881,000us-gaap_OperatingLeasesFutureMinimumPaymentsDue    
Contractual Obligation, Fiscal Year Maturity [Abstract]      
Contractual Obligation, Due in Next Twelve Months 773,000us-gaap_ContractualObligationDueInNextTwelveMonths    
Contractual Obligation, Due in Second Year 209,000us-gaap_ContractualObligationDueInSecondYear    
Contractual Obligation, Due in Third Year 88,000us-gaap_ContractualObligationDueInThirdYear    
Contractual Obligation, Due in Fourth Year 0us-gaap_ContractualObligationDueInFourthYear    
Contractual Obligation, Due in Fifth Year 0us-gaap_ContractualObligationDueInFifthYear    
Contractual Obligation, Due after Fifth Year 0us-gaap_ContractualObligationDueAfterFifthYear    
Contractual Obligation 1,070,000us-gaap_ContractualObligation    
Farm & Ranch Loans and USDA Guarantees [Member]
     
Long-term Purchase Commitment [Line Items]      
Loans and Leases Receivable, Commitments to Purchase or Sell 29,700,000us-gaap_LoansAndLeasesReceivableCommitmentsToPurchaseOrSell
/ us-gaap_ProductOrServiceAxis
= agm_FarmRanchLoansandUSDAGuaranteesMember
54,800,000us-gaap_LoansAndLeasesReceivableCommitmentsToPurchaseOrSell
/ us-gaap_ProductOrServiceAxis
= agm_FarmRanchLoansandUSDAGuaranteesMember
 
Rural Utilities Loans [Member]      
Long-term Purchase Commitment [Line Items]      
Loans and Leases Receivable, Commitments to Purchase or Sell $ 4,000,000us-gaap_LoansAndLeasesReceivableCommitmentsToPurchaseOrSell
/ us-gaap_ProductOrServiceAxis
= agm_RuralUtilitiesLoansMember
$ 26,300,000us-gaap_LoansAndLeasesReceivableCommitmentsToPurchaseOrSell
/ us-gaap_ProductOrServiceAxis
= agm_RuralUtilitiesLoansMember