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Organization (Details) (USD $)
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Product Information [Line Items]      
On and Off Balance Sheet Program Assets, At Principal Balance $ 14,597,758,000agm_OnAndOffBalanceSheetProgramAssetsAtPrincipalBalance $ 13,950,312,000agm_OnAndOffBalanceSheetProgramAssetsAtPrincipalBalance $ 13,015,188,000agm_OnAndOffBalanceSheetProgramAssetsAtPrincipalBalance
Farm & Ranch [Member]      
Product Information [Line Items]      
On and Off Balance Sheet Program Assets, At Principal Balance 5,417,174,000agm_OnAndOffBalanceSheetProgramAssetsAtPrincipalBalance
/ us-gaap_StatementBusinessSegmentsAxis
= agm_FarmRanchMember
5,163,080,000agm_OnAndOffBalanceSheetProgramAssetsAtPrincipalBalance
/ us-gaap_StatementBusinessSegmentsAxis
= agm_FarmRanchMember
4,747,289,000agm_OnAndOffBalanceSheetProgramAssetsAtPrincipalBalance
/ us-gaap_StatementBusinessSegmentsAxis
= agm_FarmRanchMember
USDA Guarantees [Member]
     
Product Information [Line Items]      
On and Off Balance Sheet Program Assets, At Principal Balance 1,798,034,000agm_OnAndOffBalanceSheetProgramAssetsAtPrincipalBalance
/ us-gaap_StatementBusinessSegmentsAxis
= agm_USDAGuaranteesMember
1,687,117,000agm_OnAndOffBalanceSheetProgramAssetsAtPrincipalBalance
/ us-gaap_StatementBusinessSegmentsAxis
= agm_USDAGuaranteesMember
1,615,579,000agm_OnAndOffBalanceSheetProgramAssetsAtPrincipalBalance
/ us-gaap_StatementBusinessSegmentsAxis
= agm_USDAGuaranteesMember
Rural Utilities [Member]      
Product Information [Line Items]      
On and Off Balance Sheet Program Assets, At Principal Balance 985,609,000agm_OnAndOffBalanceSheetProgramAssetsAtPrincipalBalance
/ us-gaap_StatementBusinessSegmentsAxis
= agm_RuralUtilitiesMember
1,052,251,000agm_OnAndOffBalanceSheetProgramAssetsAtPrincipalBalance
/ us-gaap_StatementBusinessSegmentsAxis
= agm_RuralUtilitiesMember
1,031,945,000agm_OnAndOffBalanceSheetProgramAssetsAtPrincipalBalance
/ us-gaap_StatementBusinessSegmentsAxis
= agm_RuralUtilitiesMember
Institutional Credit [Member]      
Product Information [Line Items]      
On and Off Balance Sheet Program Assets, At Principal Balance 6,396,941,000agm_OnAndOffBalanceSheetProgramAssetsAtPrincipalBalance
/ us-gaap_StatementBusinessSegmentsAxis
= agm_InstitutionalCreditMemberMember
6,047,864,000agm_OnAndOffBalanceSheetProgramAssetsAtPrincipalBalance
/ us-gaap_StatementBusinessSegmentsAxis
= agm_InstitutionalCreditMemberMember
5,620,375,000agm_OnAndOffBalanceSheetProgramAssetsAtPrincipalBalance
/ us-gaap_StatementBusinessSegmentsAxis
= agm_InstitutionalCreditMemberMember
Medium-term Notes [Member]      
Product Information [Line Items]      
Notes Payable 7,900,000,000us-gaap_NotesPayable
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_MediumTermNotesMember
   
Discount Notes [Member]      
Product Information [Line Items]      
Notes Payable $ 4,900,000,000us-gaap_NotesPayable
/ us-gaap_ShortTermDebtTypeAxis
= us-gaap_NotesPayableToBanksMember