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Fair Value Disclosures - Unobservable Input Reconciliation (Details) - Fair Value, Inputs, Level 3 [Member] - Fair Value, Measurements, Recurring [Member] - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2019
Sep. 30, 2018
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]        
Beginning Balance $ 7,064,077 $ 6,015,564 $ 6,003,211 $ 5,508,576
Cumulative Effect from Change in Hedge Accounting       487
Purchases 349,654 713,702 1,788,097 1,751,973
Sales (9,506) (26,321) (57,853) (105,628)
Settlements (254,900) (689,721) (726,116) (1,134,113)
Realized and Unrealized Gains included in Income 84,213 (13,435) 258,309 (45,298)
Unrealized Losses included in Other Comprehensive Income (22,846) (13,287) (54,956) 10,505
Ending Balance 7,210,692 5,986,502 7,210,692 5,986,502
USDA Securities [Member]        
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]        
Beginning Balance 9,201 10,748 9,999 13,515
Cumulative Effect from Change in Hedge Accounting       0
Purchases 9,506 26,321 57,853 105,628
Sales (9,506) (26,321) (57,853) (105,628)
Settlements (307) (508) (1,210) (3,302)
Realized and Unrealized Gains included in Income 49 (3) 154 24
Unrealized Losses included in Other Comprehensive Income 0 0 0 0
Ending Balance 8,943 10,237 8,943 10,237
Debt Securities, Trading, Unrealized Loss   9   100
Available-for-sale Securities [Member] | Investment Securities [Member]        
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]        
Beginning Balance 19,208 19,010 18,715 23,147
Cumulative Effect from Change in Hedge Accounting       0
Purchases 0 0 0 0
Sales 0 0 0 0
Settlements 0 0 0 (2,137)
Realized and Unrealized Gains included in Income 0 0 0 (2,092)
Unrealized Losses included in Other Comprehensive Income 0 (49) 493 43
Ending Balance 19,208 18,961 19,208 18,961
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 7,035,668 5,985,806 5,974,497 5,471,914
Cumulative Effect from Change in Hedge Accounting       487
Purchases 340,148 687,381 1,730,244 1,646,345
Sales 0 0 0 0
Settlements (254,593) (689,213) (724,906) (1,128,674)
Realized and Unrealized Gains included in Income 84,164 (13,432) 258,155 (43,230)
Unrealized Losses included in Other Comprehensive Income (22,846) (13,238) (55,449) 10,462
Ending Balance 7,182,541 5,957,304 7,182,541 5,957,304
Available-for-sale Securities [Member] | USDA Securities [Member]        
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]        
Beginning Balance 0 0 0 0
Cumulative Effect from Change in Hedge Accounting       0
Purchases 9,506 26,321 57,853 105,628
Sales (9,506) (26,321) (57,853) (105,628)
Settlements 0 0 0 0
Realized and Unrealized Gains included in Income 0 0 0 0
Unrealized Losses included in Other Comprehensive Income 0 0 0 0
Ending Balance 0 0 0 0
Trading Securities [Member] | USDA Securities [Member]        
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]        
Beginning Balance 9,201 10,748 9,999 13,515
Cumulative Effect from Change in Hedge Accounting       0
Purchases 0 0 0 0
Sales 0 0 0 0
Settlements (307) (508) (1,210) (3,302)
Realized and Unrealized Gains included in Income 49 (3) 154 24
Unrealized Losses included in Other Comprehensive Income 0 0 0 0
Ending Balance 8,943 10,237 8,943 10,237
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 7,035,668 5,985,806 5,974,497 5,471,914
Cumulative Effect from Change in Hedge Accounting       487
Purchases 340,148 687,381 1,730,244 1,646,345
Sales 0 0 0 0
Settlements (254,593) (689,213) (724,906) (1,128,674)
Realized and Unrealized Gains included in Income 84,164 (13,432) 258,155 (43,230)
Unrealized Losses included in Other Comprehensive Income (22,846) (13,238) (55,449) 10,462
Ending Balance 7,182,541 5,957,304 7,182,541 5,957,304
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 19,208 19,010 18,715 18,814
Cumulative Effect from Change in Hedge Accounting       0
Purchases 0 0 0 0
Sales 0 0 0 0
Settlements 0 0 0 0
Realized and Unrealized Gains included in Income 0 0 0 0
Unrealized Losses included in Other Comprehensive Income 0 (49) 493 147
Ending Balance $ 19,208 18,961 $ 19,208 18,961
Fixed Interest Rate [Member] | Available-for-sale Securities [Member] | Collateralized Mortgage Backed Securities [Member]        
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]        
Beginning Balance       4,333
Cumulative Effect from Change in Hedge Accounting       0
Purchases       0
Sales       0
Settlements       (2,137)
Realized and Unrealized Gains included in Income       (2,092)
Unrealized Losses included in Other Comprehensive Income       (104)
Ending Balance   $ 0   $ 0