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Fair Value Disclosures - Unobservable Input Reconciliation (Details) - USD ($)
3 Months Ended
Dec. 31, 2017
Mar. 31, 2018
Mar. 31, 2017
Dec. 31, 2016
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]        
Cumulative Effect of New Accounting Principle in Period of Adoption $ 27,000     $ 0
Fair Value, Inputs, Level 3 [Member] | Fair Value, Measurements, Recurring [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  
Cumulative Effect of New Accounting Principle in Period of Adoption 487,000      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]        
Beginning Balance   $ 5,508,576,000 4,891,803,000  
Purchases   689,740,000 572,116,000  
Sales   (34,293,000) (32,589,000)  
Settlements   (292,350,000) (163,723,000)  
Ending Balance 5,508,576,000 5,874,075,000 5,284,591,000  
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Earnings   (18,932,000) (3,297,000)  
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Other Comprehensive Income (Loss)   20,847,000 13,240,000  
Fair Value, Inputs, Level 3 [Member] | USDA Securities [Member] | Fair Value, Measurements, Recurring [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  
Cumulative Effect of New Accounting Principle in Period of Adoption 0      
Trading Securities, Unrealized Gains   100,000 0  
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]        
Beginning Balance   13,515,000 20,388,000  
Purchases   34,293,000 32,589,000  
Sales   (34,293,000) (32,589,000)  
Settlements   (1,973,000) (1,704,000)  
Ending Balance 13,515,000 11,558,000 18,602,000  
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Earnings   16,000 (82,000)  
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Other Comprehensive Income (Loss)   0 0  
Available-for-sale Securities [Member] | Fair Value, Inputs, Level 3 [Member] | Investment Securities [Member] | Fair Value, Measurements, Recurring [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  
Cumulative Effect of New Accounting Principle in Period of Adoption 0      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]        
Beginning Balance   23,147,000 17,730,000  
Purchases   0 0  
Sales   0 0  
Settlements   (109,000) (112,000)  
Ending Balance 23,147,000 23,130,000 22,943,000  
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Earnings   0 0  
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Other Comprehensive Income (Loss)   92,000 (1,716,000)  
Available-for-sale Securities [Member] | Fair Value, Inputs, Level 3 [Member] | Farmer Mac Guaranteed Securities [Member] | Fair Value, Measurements, Recurring [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  
Cumulative Effect of New Accounting Principle in Period of Adoption 487,000      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]        
Beginning Balance   5,471,914,000 4,853,685,000  
Purchases   655,447,000 539,527,000  
Sales   0 0  
Settlements   (290,268,000) (161,907,000)  
Ending Balance 5,471,914,000 5,839,387,000 5,243,046,000  
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Earnings   (18,948,000) (3,215,000)  
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Other Comprehensive Income (Loss)   20,755,000 14,956,000  
Available-for-sale Securities [Member] | Fair Value, Inputs, Level 3 [Member] | USDA Securities [Member] | Fair Value, Measurements, Recurring [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  
Cumulative Effect of New Accounting Principle in Period of Adoption 0      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]        
Beginning Balance   0 0  
Purchases   34,293,000 32,589,000  
Sales   (34,293,000) (32,589,000)  
Settlements   0 0  
Ending Balance 0 0 0  
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Earnings   0 0  
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Other Comprehensive Income (Loss)   0 0  
Trading Securities [Member] | Fair Value, Inputs, Level 3 [Member] | USDA Securities [Member] | Fair Value, Measurements, Recurring [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  
Cumulative Effect of New Accounting Principle in Period of Adoption 0      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]        
Beginning Balance   13,515,000 20,388,000  
Purchases   0 0  
Sales   0 0  
Settlements   (1,973,000) (1,704,000)  
Ending Balance 13,515,000 11,558,000 18,602,000  
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Earnings   16,000 (82,000)  
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Other Comprehensive Income (Loss)   0 0  
Institutional Credit [Member] | Available-for-sale Securities [Member] | Fair Value, Inputs, Level 3 [Member] | Farmer Mac Guaranteed Securities [Member] | Fair Value, Measurements, Recurring [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  
Cumulative Effect of New Accounting Principle in Period of Adoption 487,000      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]        
Beginning Balance   5,471,914,000 4,853,685,000  
Purchases   655,447,000 539,527,000  
Sales   0 0  
Settlements   (290,268,000) (161,907,000)  
Ending Balance 5,471,914,000 5,839,387,000 5,243,046,000  
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Earnings   (18,948,000) (3,215,000)  
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Other Comprehensive Income (Loss)   20,755,000 14,956,000  
Floating Interest Rate [Member] | Available-for-sale Securities [Member] | Fair Value, Inputs, Level 3 [Member] | Floating rate auction-rate certificates backed by Government guaranteed student loans | Fair Value, Measurements, Recurring [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  
Cumulative Effect of New Accounting Principle in Period of Adoption 0      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]        
Beginning Balance   18,814,000 17,730,000  
Purchases   0 0  
Sales   0 0  
Settlements   0 0  
Ending Balance 18,814,000 19,010,000 18,124,000  
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Earnings   0 0  
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Other Comprehensive Income (Loss)   196,000 394,000  
Fixed Interest Rate [Member] | Available-for-sale Securities [Member] | Fair Value, Inputs, Level 3 [Member] | Government/GSE Guaranteed Mortgage Backed Securities [Member] | Fair Value, Measurements, Recurring [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  
Cumulative Effect of New Accounting Principle in Period of Adoption 0      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]        
Beginning Balance   4,333,000 0  
Purchases   0 0  
Sales   0 0  
Settlements   (109,000) (112,000)  
Ending Balance $ 4,333,000 4,120,000 4,819,000  
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Earnings   0 0  
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Gain (Loss) Included in Other Comprehensive Income (Loss)   $ (104,000) $ (2,110,000)