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Fair Value Disclosures - Unobservable Input Reconciliation (Details) - Fair Value, Inputs, Level 3 - Fair Value, Measurements, Recurring - USD ($)
$ in Thousands
12 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Beginning Balance $ 6,003,211 $ 5,508,576 $ 4,891,803
Cumulative Effect from Change in Hedge Accounting   487 7,041
Purchases 2,091,566 2,305,396 1,289,876
Sales (57,853) (127,850) (155,744)
Settlements (1,021,706) (1,676,136) (533,943)
Realized and Unrealized (Losses)/Gains included in Income 181,470 19,448 (7,649)
Unrealized Gains/(Losses) included in Other Comprehen-sive Income (25,838) (26,710) 17,192
Ending Balance 7,170,850 6,003,211 5,508,576
USDA Securities:      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Beginning Balance 9,999 13,515 20,388
Cumulative Effect from Change in Hedge Accounting   0 0
Purchases 57,853 127,850 155,744
Sales (57,853) (127,850) (155,744)
Settlements (1,412) (3,597) (6,849)
Realized and Unrealized (Losses)/Gains included in Income 326 81 (24)
Unrealized Gains/(Losses) included in Other Comprehen-sive Income 0 0 0
Ending Balance 8,913 9,999 13,515
Unrealized gains attributable to assets held   100 100
Available-for-Sale Securities | Farmer Mac Guaranteed Securities      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Beginning Balance 5,974,497 5,471,914 4,853,685
Cumulative Effect from Change in Hedge Accounting   487 0
Purchases 2,033,713 2,177,546 1,134,132
Sales 0 0 0
Settlements (1,020,294) (1,670,402) (526,650)
Realized and Unrealized (Losses)/Gains included in Income 181,144 21,459 (7,625)
Unrealized Gains/(Losses) included in Other Comprehen-sive Income (26,035) (26,507) 18,372
Ending Balance 7,143,025 5,974,497 5,471,914
Available-for-Sale Securities | USDA Securities:      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Beginning Balance 0 0 0
Cumulative Effect from Change in Hedge Accounting   0 0
Purchases 57,853 127,850 155,744
Sales (57,853) (127,850) (155,744)
Settlements 0 0 0
Realized and Unrealized (Losses)/Gains included in Income 0 0 0
Unrealized Gains/(Losses) included in Other Comprehen-sive Income 0 0 0
Ending Balance 0 0 0
Available-for-Sale Securities | Debt Securities      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Beginning Balance 18,715 23,147 17,730
Cumulative Effect from Change in Hedge Accounting   0 7,041
Purchases 0 0 0
Sales 0 0 0
Settlements 0 (2,137) (444)
Realized and Unrealized (Losses)/Gains included in Income 0 (2,092) 0
Unrealized Gains/(Losses) included in Other Comprehen-sive Income 197 (203) (1,180)
Ending Balance 18,912 18,715 23,147
Trading Securities | USDA Securities:      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Beginning Balance 9,999 13,515 20,388
Cumulative Effect from Change in Hedge Accounting   0 0
Purchases 0 0 0
Sales 0 0 0
Settlements (1,412) (3,597) (6,849)
Realized and Unrealized (Losses)/Gains included in Income 326 81 (24)
Unrealized Gains/(Losses) included in Other Comprehen-sive Income 0 0 0
Ending Balance 8,913 9,999 13,515
Institutional Credit | Available-for-Sale Securities | Farmer Mac Guaranteed Securities      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Beginning Balance 5,974,497 5,471,914 4,853,685
Cumulative Effect from Change in Hedge Accounting   487 0
Purchases 2,033,713 2,177,546 1,134,132
Sales 0 0 0
Settlements (1,020,294) (1,670,402) (526,650)
Realized and Unrealized (Losses)/Gains included in Income 181,144 21,459 (7,625)
Unrealized Gains/(Losses) included in Other Comprehen-sive Income (26,035) (26,507) 18,372
Ending Balance 7,143,025 5,974,497 5,471,914
Floating Interest Rate | Available-for-Sale Securities | Floating rate auction-rate certificates backed by Government guaranteed student loans      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Beginning Balance 18,715 18,814 17,730
Cumulative Effect from Change in Hedge Accounting   0 0
Purchases 0 0 0
Sales 0 0 0
Settlements 0 0 0
Realized and Unrealized (Losses)/Gains included in Income 0 0 0
Unrealized Gains/(Losses) included in Other Comprehen-sive Income 197 (99) 1,084
Ending Balance 18,912 18,715 18,814
Fixed Interest Rate | Available-for-Sale Securities | Government/GSE Guaranteed Mortgage Backed Securities      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Beginning Balance $ 0 4,333 0
Cumulative Effect from Change in Hedge Accounting   0 7,041
Purchases   0 0
Sales   0 0
Settlements   (2,137) (444)
Realized and Unrealized (Losses)/Gains included in Income   (2,092) 0
Unrealized Gains/(Losses) included in Other Comprehen-sive Income   (104) (2,264)
Ending Balance   $ 0 $ 4,333