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Financial Derivatives - Hedged Items in Fair Value Hedging Relationships (Details) - USD ($) $ in Thousands | Sep. 30, 2019 | Dec. 31, 2018
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HedgedItemsinFairValueHedgingRelationship [Line Items] |  |
Hedged adjustments on discontinued hedging relationships | $ 100 | $ 0
Loans [Member] |  |
HedgedItemsinFairValueHedgingRelationship [Line Items] |  |
Carrying Amount of Hedged Assets/(Liabilities) | 1,006,952 | 194,617
Cumulative Amount of Fair Value Hedging Adjustments included in the Carrying Amount of the Hedged Assets/(Liabilities) | 78,091 |
Cumulative Amount of Fair Value Hedging Adjustments included in the Carrying Amount of the Hedged Assets/(Liabilities) |  | (5,287)
Other Assets [Member] |  |
HedgedItemsinFairValueHedgingRelationship [Line Items] |  |
Carrying Amount of Hedged Assets/(Liabilities) | 146 | 0
Cumulative Amount of Fair Value Hedging Adjustments included in the Carrying Amount of the Hedged Assets/(Liabilities) | 146 | 0
Long-term Debt [Member] |  |
HedgedItemsinFairValueHedgingRelationship [Line Items] |  |
Carrying Amount of Hedged Assets/(Liabilities) | (1,902,570) | (2,021,356)
Cumulative Amount of Fair Value Hedging Adjustments included in the Carrying Amount of the Hedged Assets/(Liabilities) |  | 8,785
Cumulative Amount of Fair Value Hedging Adjustments included in the Carrying Amount of the Hedged Assets/(Liabilities) | (16,238) |
Hedging adjustments on discontinued hedging relationships | 100 | 300
Farmer Mac Guaranteed Securities [Member] |  |
HedgedItemsinFairValueHedgingRelationship [Line Items] |  |
Carrying Amount of Hedged Assets/(Liabilities) | 4,167,059 | 2,882,919
Cumulative Amount of Fair Value Hedging Adjustments included in the Carrying Amount of the Hedged Assets/(Liabilities) | $ 257,231 | $ (906)

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- Definition Hedged Asset Discontinued Fair Value Cumulative Increase Decrease + References No definition available. + Details
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Namespace Prefix: | agm_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- Definition [Line Items] for HedgedItemsinFairValueHedgingRelationship [Table] + References No definition available. + Details
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Data Type: | xbrli:stringItemType
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- 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
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Namespace Prefix: | agm_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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- Definition Amount of hedged item in hedging relationship. Excludes hedged asset or liability. + References No definition available. + Details
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- Definition Amount of cumulative increase (decrease) in fair value of hedged asset in fair value hedge, attributable to hedged risk. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 4EE -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=109980867&loc=SL109999712-113959 + Details
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- Definition Amount of cumulative increase (decrease) in fair value of hedged liability in fair value hedge, attributable to hedged risk. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 4EE -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=109980867&loc=SL109999712-113959 + Details
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- Details
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- Details
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- Details
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