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Guarantees and Commitments - Reserve For Losses (Details) - USD ($) $ in Thousands	Mar. 31, 2023	Dec. 31, 2022	Mar. 31, 2022	Dec. 31, 2021
Guarantor Obligations [Line Items]
Reserve for losses	$ 1,636	$ 1,433
Agricultural Finance
Guarantor Obligations [Line Items]
Reserve for losses	1,396	819	$ 993	$ 1,068
Rural Infrastructure Finance
Guarantor Obligations [Line Items]
Reserve for losses	$ 240	$ 614	$ 847	$ 882

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- Definition

The reserve for guarantee losses is a liability account in the consolidated balance sheets that reflects an estimate of incurred credit losses related to the guaranty of unconsolidated trusts and other credit guarantees

+ References

No definition available.

+ Details

Name:	agm_ReserveForLosses
Namespace Prefix:	agm_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

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- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

No definition available.

+ Details

Name:	us-gaap_GuaranteeObligationsLineItems
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

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- Details

Name:	us-gaap_StatementBusinessSegmentsAxis=agm_AgriculturalFinanceMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

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- Details

Name:	us-gaap_StatementBusinessSegmentsAxis=agm_RuralInfrastructureFinanceMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: