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Fair Value Disclosures - Quantitative Information (Details) - Fair Value, Measurements, Recurring [Member] - Fair Value, Inputs, Level 3 [Member] - USD ($)
$ in Thousands
9 Months Ended 12 Months Ended
Sep. 30, 2017
Dec. 31, 2016
Jun. 30, 2017
Sep. 30, 2016
Jun. 30, 2016
Dec. 31, 2015
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]            
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset Value $ 5,481,586 $ 4,891,803 $ 5,322,025 $ 6,958,879 $ 6,741,588 $ 6,115,339
USDA Securities [Member]            
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]            
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset Value $ 14,864 $ 20,388 16,294 2,003,816 1,992,546 1,917,319
Minimum [Member] | Floating rate auction-rate certificates backed by Government guaranteed student loans | Market Approach Valuation Technique [Member]            
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]            
Fair Value Inputs, Range of Offered Quotes 94.00% 90.00%        
Minimum [Member] | Institutional Credit [Member] | Farmer Mac Guaranteed Securities [Member] | Cost Approach Valuation Technique [Member]            
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]            
Fair Value Inputs, Discount Rate 2.00% 1.50%        
Minimum [Member] | USDA Guarantees [Member] | USDA Securities [Member] | Cost Approach Valuation Technique [Member]            
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]            
Fair Value Inputs, Discount Rate 3.60% 4.00%        
Fair Value Inputs, Prepayment Rate 7.00% 13.00%        
Maximum [Member] | Floating rate auction-rate certificates backed by Government guaranteed student loans | Market Approach Valuation Technique [Member]            
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]            
Fair Value Inputs, Range of Offered Quotes 94.00% 90.00%        
Maximum [Member] | Institutional Credit [Member] | Farmer Mac Guaranteed Securities [Member] | Cost Approach Valuation Technique [Member]            
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]            
Fair Value Inputs, Discount Rate 3.30% 3.30%        
Maximum [Member] | USDA Guarantees [Member] | USDA Securities [Member] | Cost Approach Valuation Technique [Member]            
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]            
Fair Value Inputs, Discount Rate 5.30% 5.30%        
Fair Value Inputs, Prepayment Rate 19.00% 18.00%        
Weighted Average [Member] | Floating rate auction-rate certificates backed by Government guaranteed student loans | Market Approach Valuation Technique [Member]            
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]            
Fair Value Inputs, Range of Offered Quotes 94.00% 90.00%        
Weighted Average [Member] | Institutional Credit [Member] | Farmer Mac Guaranteed Securities [Member] | Cost Approach Valuation Technique [Member]            
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]            
Fair Value Inputs, Discount Rate 2.20% 1.90%        
Weighted Average [Member] | USDA Guarantees [Member] | USDA Securities [Member] | Cost Approach Valuation Technique [Member]            
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]            
Fair Value Inputs, Discount Rate 5.00% 5.00%        
Fair Value Inputs, Prepayment Rate 17.00% 17.00%        
Available-for-sale Securities [Member] | Farmer Mac Guaranteed Securities [Member]            
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]            
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset Value $ 5,443,746 $ 4,853,685 5,282,562 4,937,481 4,731,031 4,152,605
Available-for-sale Securities [Member] | USDA Securities [Member]            
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]            
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset Value 0 0 0 1,980,327 1,967,759 1,888,344
Available-for-sale Securities [Member] | Institutional Credit [Member] | Farmer Mac Guaranteed Securities [Member]            
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]            
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset Value 5,443,746 [1] 4,853,685 [1] 5,282,562 4,904,657 4,697,584 4,121,244
Available-for-sale Securities [Member] | USDA Guarantees [Member] | Farmer Mac Guaranteed Securities [Member]            
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]            
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset Value       32,824 33,447 31,361
Available-for-sale Securities [Member] | Fixed Interest Rate [Member] | Government/GSE Guaranteed Mortgage Backed Securities [Member]            
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]            
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset Value $ 4,458 $ 0 4,651      
Fair Value Inputs, Prepayment Rate 0.00% 0.00%        
Available-for-sale Securities [Member] | Minimum [Member] | Fixed Interest Rate [Member] | Government/GSE Guaranteed Mortgage Backed Securities [Member]            
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]            
Fair Value Inputs, Discount Rate 3.70% 0.00%        
Available-for-sale Securities [Member] | Maximum [Member] | Fixed Interest Rate [Member] | Government/GSE Guaranteed Mortgage Backed Securities [Member]            
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]            
Fair Value Inputs, Discount Rate 3.70% 0.00%        
Available-for-sale Securities [Member] | Weighted Average [Member] | Fixed Interest Rate [Member] | Government/GSE Guaranteed Mortgage Backed Securities [Member]            
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]            
Fair Value Inputs, Discount Rate 3.70% 0.00%        
Trading Securities [Member] | USDA Securities [Member]            
Fair Value Measurements, Recurring and Nonrecurring, Valuation Techniques [Line Items]            
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset Value $ 14,864 [1] $ 20,388 [1] $ 16,294 $ 23,489 $ 24,787 $ 28,975
[1] Includes unrealized gains of $34,000 attributable to assets still held as of September 30, 2017 that are recorded in "Gains/(losses) on trading securities."