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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
Mar. 31, 2017
Mar. 31, 2016
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]    
Beginning Balance $ 4,891,803,000 $ 6,115,339,000
Transfers In 7,041,000  
Purchases 572,116,000 1,014,505,000
Sales (32,589,000) (30,454,000)
Settlements (163,723,000) (599,792,000)
Realized and Unrealized Gains/(Losses) included in Income (3,297,000) 24,661,000
Unrealized Gains/(Losses) included in Other Comprehen-sive Income 13,240,000 (5,759,000)
Ending Balance 5,284,591,000 6,518,500,000
Investment Securities [Member]    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]    
Beginning Balance   45,415,000
Purchases   0
Sales   (26,806,000)
Settlements   (206,000)
Realized and Unrealized Gains/(Losses) included in Income   104,000
Unrealized Gains/(Losses) included in Other Comprehen-sive Income   (394,000)
Ending Balance   18,113,000
USDA Securities [Member]    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation [Line Items]    
Trading Securities, Unrealized Holding Loss 44,000  
Trading Securities, Unrealized Gains   200,000
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]    
Beginning Balance 20,388,000 1,917,319,000
Transfers In 0  
Purchases 32,589,000 98,974,000
Sales (32,589,000) (3,648,000)
Settlements (1,704,000) (86,558,000)
Realized and Unrealized Gains/(Losses) included in Income (82,000) 259,000
Unrealized Gains/(Losses) included in Other Comprehen-sive Income 0 8,537,000
Ending Balance 18,602,000 1,934,883,000
Available-for-sale Securities [Member] | Investment Securities [Member]    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]    
Beginning Balance 17,730,000 44,924,000
Transfers In 7,041,000  
Purchases 0 0
Sales 0 (26,806,000)
Settlements (112,000) 0
Realized and Unrealized Gains/(Losses) included in Income 0 6,000
Unrealized Gains/(Losses) included in Other Comprehen-sive Income (1,716,000) (394,000)
Ending Balance 22,943,000 17,730,000
Available-for-sale Securities [Member] | Farmer Mac Guaranteed Securities [Member]    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]    
Beginning Balance 4,853,685,000 4,152,605,000
Transfers In 0  
Purchases 539,527,000 915,531,000
Sales 0 0
Settlements (161,907,000) (513,028,000)
Realized and Unrealized Gains/(Losses) included in Income (3,215,000) 24,298,000
Unrealized Gains/(Losses) included in Other Comprehen-sive Income 14,956,000 (13,902,000)
Ending Balance 5,243,046,000 4,565,504,000
Available-for-sale Securities [Member] | USDA Securities [Member]    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]    
Beginning Balance 0 1,888,344,000
Transfers In 0  
Purchases 32,589,000 98,974,000
Sales (32,589,000) (3,648,000)
Settlements 0 (84,193,000)
Realized and Unrealized Gains/(Losses) included in Income 0 0
Unrealized Gains/(Losses) included in Other Comprehen-sive Income 0 8,537,000
Ending Balance 0 1,908,014,000
Trading Securities [Member] | Investment Securities [Member]    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]    
Beginning Balance   491,000
Purchases   0
Sales   0
Settlements   (206,000)
Realized and Unrealized Gains/(Losses) included in Income   98,000
Unrealized Gains/(Losses) included in Other Comprehen-sive Income   0
Ending Balance   383,000
Trading Securities [Member] | USDA Securities [Member]    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]    
Beginning Balance 20,388,000 [1] 28,975,000
Transfers In 0  
Purchases 0 0
Sales 0 0
Settlements (1,704,000) (2,365,000)
Realized and Unrealized Gains/(Losses) included in Income (82,000) [1] 259,000 [2]
Unrealized Gains/(Losses) included in Other Comprehen-sive Income 0 0
Ending Balance 18,602,000 [1] 26,869,000
Institutional Credit [Member] | Available-for-sale Securities [Member] | Farmer Mac Guaranteed Securities [Member]    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]    
Beginning Balance 4,853,685,000 [1] 4,121,244,000
Transfers In 0  
Purchases 539,527,000 915,531,000
Sales 0 0
Settlements (161,907,000) (512,530,000)
Realized and Unrealized Gains/(Losses) included in Income (3,215,000) 24,298,000
Unrealized Gains/(Losses) included in Other Comprehen-sive Income 14,956,000 (13,733,000)
Ending Balance 5,243,046,000 [1] 4,534,810,000
USDA Guarantees [Member] | Available-for-sale Securities [Member] | Farmer Mac Guaranteed Securities [Member]    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]    
Beginning Balance   31,361,000
Purchases   0
Sales   0
Settlements   (498,000)
Realized and Unrealized Gains/(Losses) included in Income   0
Unrealized Gains/(Losses) included in Other Comprehen-sive Income   (169,000)
Ending Balance   30,694,000
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, Calculation [Roll Forward]    
Beginning Balance 17,730,000 44,924,000
Transfers In 0  
Purchases 0 0
Sales 0 (26,806,000)
Settlements 0 0
Realized and Unrealized Gains/(Losses) included in Income 0 6,000
Unrealized Gains/(Losses) included in Other Comprehen-sive Income 394,000 (394,000)
Ending Balance 18,124,000 17,730,000
Floating Interest Rate [Member] | Trading Securities [Member] | Asset-backed Securities [Member]    
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]    
Beginning Balance   491,000
Purchases   0
Sales   0
Settlements [3]   (206,000)
Realized and Unrealized Gains/(Losses) included in Income   98,000
Unrealized Gains/(Losses) included in Other Comprehen-sive Income   0
Ending Balance   $ 383,000
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, Calculation [Roll Forward]    
Beginning Balance 0  
Transfers In 7,041,000  
Purchases 0  
Sales 0  
Settlements (112,000)  
Realized and Unrealized Gains/(Losses) included in Income 0  
Unrealized Gains/(Losses) included in Other Comprehen-sive Income (2,110,000)  
Ending Balance $ 4,819,000  
[1] Includes unrealized losses of $44,000 attributable to assets still held as of March 31, 2017 that are recorded in "(Losses)/gains on trading securities."
[2] Includes unrealized gains of $0.2 million attributable to assets still held as of March 31, 2016 that are recorded in "(Losses)/gains on trading securities."
[3] Unrealized gains are attributable to assets still held as of March 31, 2016 and are recorded in "(Losses)/gains on trading securities."