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Off-Balance Sheet Guarantees and Long Term Standby Purchase Commitments - Cash Flows from Off-balance sheet Guaranteed Securities (Details) (USD $)
3 Months Ended 12 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Dec. 31, 2014
Guarantor Obligations [Line Items]      
Proceeds from sale of Farmer Mac Guaranteed Securities $ 49,487,000us-gaap_ProceedsFromSaleOfOtherInvestments $ 62,751,000us-gaap_ProceedsFromSaleOfOtherInvestments  
Proceeds from Fees Received 692,000us-gaap_ProceedsFromFeesReceived 827,000us-gaap_ProceedsFromFeesReceived  
Payments to Acquire Loans and Leases Held-for-investment 657,000us-gaap_PaymentsToAcquireLoansAndLeasesHeldForInvestment 0us-gaap_PaymentsToAcquireLoansAndLeasesHeldForInvestment  
Variable Interest Entity, Not Primary Beneficiary [Member]      
Guarantor Obligations [Line Items]      
Guarantor Obligations, Maximum Exposure, Undiscounted 1,597,612,000us-gaap_GuaranteeObligationsMaximumExposure
/ dei_LegalEntityAxis
= us-gaap_VariableInterestEntityNotPrimaryBeneficiaryMember
  1,636,592,000us-gaap_GuaranteeObligationsMaximumExposure
/ dei_LegalEntityAxis
= us-gaap_VariableInterestEntityNotPrimaryBeneficiaryMember
Farmer Mac Guaranteed Securities [Member]      
Guarantor Obligations [Line Items]      
Weighted average remaining maturity, Loans underlying guarantees not held by transferor 11 years 10 months 24 days 12 years 0 months 0 days  
Farmer Mac Guaranteed Securities [Member] | Variable Interest Entity, Not Primary Beneficiary [Member]      
Guarantor Obligations [Line Items]      
Guarantor Obligations, Current Carrying Value 10,400,000us-gaap_GuaranteeObligationsCurrentCarryingValue
/ us-gaap_GuaranteeObligationsByNatureAxis
= agm_FarmerMacGuaranteedSecuritiesMember
/ dei_LegalEntityAxis
= us-gaap_VariableInterestEntityNotPrimaryBeneficiaryMember
  11,100,000us-gaap_GuaranteeObligationsCurrentCarryingValue
/ us-gaap_GuaranteeObligationsByNatureAxis
= agm_FarmerMacGuaranteedSecuritiesMember
/ dei_LegalEntityAxis
= us-gaap_VariableInterestEntityNotPrimaryBeneficiaryMember
Institutional Credit [Member] | Variable Interest Entity, Not Primary Beneficiary [Member]      
Guarantor Obligations [Line Items]      
Guarantor Obligations, Maximum Exposure, Undiscounted $ 986,529,000us-gaap_GuaranteeObligationsMaximumExposure
/ dei_LegalEntityAxis
= us-gaap_VariableInterestEntityNotPrimaryBeneficiaryMember
/ us-gaap_StatementBusinessSegmentsAxis
= agm_InstitutionalCreditMemberMember
  986,528,000us-gaap_GuaranteeObligationsMaximumExposure
/ dei_LegalEntityAxis
= us-gaap_VariableInterestEntityNotPrimaryBeneficiaryMember
/ us-gaap_StatementBusinessSegmentsAxis
= agm_InstitutionalCreditMemberMember
Institutional Credit [Member] | Farmer Mac Guaranteed Securities [Member]      
Guarantor Obligations [Line Items]      
Weighted average remaining maturity, Loans underlying guarantees not held by transferor 2 years 2 months 5 days   2 years 5 months 5 days