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Fair Value Disclosures - Unobservable Input Reconciliation (Details) - Fair Value, Inputs, Level 3 [Member] - Fair Value, Measurements, Recurring [Member] - USD ($)
3 Months Ended 9 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2018
Sep. 30, 2017
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]        
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset Transfers Into Level 3       $ 7,041,000
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]        
Beginning Balance $ 6,015,564,000 $ 5,322,025,000 $ 5,508,576,000 4,891,803,000
Purchases 713,702,000 234,644,000 1,751,973,000 1,054,554,000
Sales (26,321,000) (40,844,000) (105,628,000) (126,939,000)
Settlements (689,721,000) (31,392,000) (1,134,113,000) (362,780,000)
Ending Balance 5,986,502,000 5,481,586,000 5,986,502,000 5,481,586,000
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Earnings (13,435,000) (1,171,000) (45,298,000) 5,082,000
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Other Comprehensive Income (Loss) (13,287,000) (1,676,000) 10,505,000 12,825,000
USDA Securities [Member]        
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]        
Trading Securities, Unrealized Holding Loss (9,000)      
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset Transfers Into Level 3       0
Trading Securities, Unrealized Gains   34,000 100,000 42,000
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]        
Beginning Balance 10,748,000 16,294,000 13,515,000 20,388,000
Purchases 26,321,000 40,844,000 105,628,000 126,939,000
Sales (26,321,000) (40,844,000) (105,628,000) (126,939,000)
Settlements (508,000) (1,430,000) (3,302,000) (5,440,000)
Ending Balance 10,237,000 14,864,000 10,237,000 14,864,000
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Earnings (3,000) 0 24,000 (84,000)
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Other Comprehensive Income (Loss) 0 0 0 0
Available-for-sale Securities [Member] | Investment Securities [Member]        
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]        
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset Transfers Into Level 3       7,041,000
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]        
Beginning Balance 19,010,000 23,169,000 23,147,000 17,730,000
Purchases 0 0 0 0
Sales 0 0 0 0
Settlements 0 (111,000) (2,137,000) (334,000)
Ending Balance 18,961,000 22,976,000 18,961,000 22,976,000
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Earnings 0 0 (2,092,000) 0
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Other Comprehensive Income (Loss) (49,000) (82,000) 43,000 (1,461,000)
Available-for-sale Securities [Member] | Farmer Mac Guaranteed Securities [Member]        
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]        
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset Transfers Into Level 3       0
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]        
Beginning Balance 5,985,806,000 5,282,562,000 5,471,914,000 4,853,685,000
Purchases 687,381,000 193,800,000 1,646,345,000 927,615,000
Sales 0 0 0 0
Settlements (689,213,000) (29,851,000) (1,128,674,000) (357,006,000)
Ending Balance 5,957,304,000 5,443,746,000 5,957,304,000 5,443,746,000
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Earnings (13,432,000) (1,171,000) (43,230,000) 5,166,000
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Other Comprehensive Income (Loss) (13,238,000) (1,594,000) 10,462,000 14,286,000
Available-for-sale Securities [Member] | USDA Securities [Member]        
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]        
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset Transfers Into Level 3       0
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]        
Beginning Balance 0 0 0 0
Purchases 26,321,000 40,844,000 105,628,000 126,939,000
Sales (26,321,000) (40,844,000) (105,628,000) (126,939,000)
Settlements 0 0 0 0
Ending Balance 0 0 0 0
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Earnings 0 0 0 0
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Other Comprehensive Income (Loss) 0 0   0
Trading Securities [Member] | USDA Securities [Member]        
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]        
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset Transfers Into Level 3       0
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]        
Beginning Balance 10,748,000 16,294,000 13,515,000 20,388,000
Purchases 0 0 0 0
Sales 0 0 0 0
Settlements (508,000) (1,430,000) (3,302,000) (5,440,000)
Ending Balance 10,237,000 14,864,000 10,237,000 14,864,000
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Earnings (3,000) 0 24,000 (84,000)
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Other Comprehensive Income (Loss) 0 0   0
Institutional Credit [Member] | Available-for-sale Securities [Member] | Farmer Mac Guaranteed Securities [Member]        
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]        
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset Transfers Into Level 3       0
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]        
Beginning Balance 5,985,806,000 5,282,562,000 5,471,914,000 4,853,685,000
Purchases 687,381,000 193,800,000 1,646,345,000 927,615,000
Sales 0 0 0 0
Settlements (689,213,000) (29,851,000) (1,128,674,000) (357,006,000)
Ending Balance 5,957,304,000 5,443,746,000 5,957,304,000 5,443,746,000
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Earnings (13,432,000) (1,171,000) (43,230,000) 5,166,000
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Other Comprehensive Income (Loss) (13,238,000) (1,594,000) 10,462,000 14,286,000
Floating Interest Rate [Member] | Available-for-sale Securities [Member] | Floating rate auction-rate certificates backed by Government guaranteed student loans        
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]        
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset Transfers Into Level 3       0
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]        
Beginning Balance 19,010,000 18,518,000 18,814,000 17,730,000
Purchases 0 0 0 0
Sales 0 0 0 0
Settlements 0 0 0 0
Ending Balance 18,961,000 18,518,000 18,961,000 18,518,000
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Earnings 0 0 0 0
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Other Comprehensive Income (Loss) (49,000) 0 147,000 788,000
Fixed Interest Rate [Member] | Available-for-sale Securities [Member] | Government/GSE Guaranteed Mortgage Backed Securities [Member]        
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]        
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset Transfers Into Level 3       7,041,000
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]        
Beginning Balance   4,651,000 4,333,000 0
Purchases   0 0 0
Sales   0 0 0
Settlements   (111,000) (2,137,000) (334,000)
Ending Balance $ 0 4,458,000 0 4,458,000
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Earnings   0 (2,092,000) 0
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Other Comprehensive Income (Loss)   $ (82,000) $ (104,000) $ (2,249,000)