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Financial Derivatives Hedged Items in Fair Value Hedging Relationships (Details) - USD ($) $ in Thousands | 3 Months Ended | 9 Months Ended |
--- | --- | --- | ---
Sep. 30, 2018 | Sep. 30, 2017 | Sep. 30, 2018 | Sep. 30, 2017 | Dec. 31, 2017
HedgedItemsinFairValueHedgingRelationship [Line Items] |  |  |  |  |
TotalAmountsofLineItemsPresentedintheConsolidatedStatementofIncome | $ 30,563 | $ 31,000 | $ 92,851 | $ 94,060 |
Hedged Liability Discontinued Fair Value Cumulative Increase Decrease | 400 |  | 400 |  |
Loans [Member] |  |  |  |  |
HedgedItemsinFairValueHedgingRelationship [Line Items] |  |  |  |  |
Derivative, Amount of Hedged Item | 166,754 |  | 166,754 |  | $ 149,304
Hedged Asset Fair Value Hedge Cumulative Increase Decrease | (13,150) |  | (13,150) |  | (189)
Long-term Debt [Member] |  |  |  |  |
HedgedItemsinFairValueHedgingRelationship [Line Items] |  |  |  |  |
Derivative, Amount of Hedged Item | (2,057,594) |  | (2,057,594) |  | (1,552,935)
Hedged Liability Fair Value Hedge Cumulative Increase Decrease | 22,428 |  | 22,428 |  | 5,836
Farmer Mac Guaranteed Securities: |  |  |  |  |
HedgedItemsinFairValueHedgingRelationship [Line Items] |  |  |  |  |
Derivative, Amount of Hedged Item | 2,514,978 |  | 2,514,978 |  | 1,928,220
Hedged Asset Fair Value Hedge Cumulative Increase Decrease | $ (65,596) |  | $ (65,596) |  | $ (22,853)

X
- Definition Amount of cumulative increase (decrease) in fair value of hedged asset in fair value hedge, attributable to hedged risk. + References No definition available. + Details
Name: | agm_HedgedAssetFairValueHedgeCumulativeIncreaseDecrease
Namespace Prefix: | agm_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- Definition [Line Items] for HedgedItemsinFairValueHedgingRelationship [Table] + References No definition available. + Details
Name: | agm_HedgedItemsinFairValueHedgingRelationshipLineItems
Namespace Prefix: | agm_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

X
- Definition Amount of cumulative increase (decrease) in fair value of hedged liability in fair value hedge, attributable to hedged risk, remaining after discontinued hedge. + References No definition available. + Details
Name: | agm_HedgedLiabilityDiscontinuedFairValueCumulativeIncreaseDecrease
Namespace Prefix: | agm_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

X
- Definition Amount of cumulative increase (decrease) in fair value of hedged liability in fair value hedge, attributable to hedged risk. + References No definition available. + Details
Name: | agm_HedgedLiabilityFairValueHedgeCumulativeIncreaseDecrease
Namespace Prefix: | agm_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

X
- Definition TotalAmountsofLineItemsPresentedintheConsolidatedStatementofIncome + References No definition available. + Details
Name: | agm_TotalAmountsofLineItemsPresentedintheConsolidatedStatementofIncome
Namespace Prefix: | agm_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

X
- Definition Amount of the hedged item as of the balance sheet date related to the derivative. For example, the hedged balance on a debt instrument. + References No definition available. + Details
Name: | us-gaap_DerivativeAmountOfHedgedItem
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | na
Period Type: | instant

X
- Details
Name: | us-gaap_BalanceSheetLocationAxis=us-gaap_LoansMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | us-gaap_BalanceSheetLocationAxis=us-gaap_LongTermDebtMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis=us-gaap_MortgageBackedSecuritiesIssuedByUSGovernmentSponsoredEnterprisesMember
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