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Derivative Financial Instruments (Details) - USD ($)
3 Months Ended 9 Months Ended 12 Months Ended
Feb. 29, 2016
Feb. 28, 2015
Feb. 29, 2016
Feb. 28, 2015
May. 31, 2015
Derivative Financial Instruments          
Notional amount $ 10,230,641,000   $ 10,230,641,000   $ 9,625,533,000
Notional balance of derivative assets 3,499,000,000   3,499,000,000   3,448,615,000
Notional balance of derivative liabilities 6,731,641,000   6,731,641,000   6,176,918,000
Derivative assets 104,535,000   104,535,000   115,276,000
Derivative liabilities (688,998,000)   (688,998,000)   (408,382,000)
Total fair value (584,463,000)   (584,463,000)   (293,106,000)
Derivative forward value     (290,952,000) $ (159,832,000)  
Derivative gains (losses) (243,036,000) $ (98,770,000) (356,237,000) (223,209,000)  
Notional amount 10,230,641,000   10,230,641,000   9,625,533,000
Interest rate swaps          
Derivative Financial Instruments          
Notional amount 10,230,641,000   $ 10,230,641,000   $ 9,625,533,000
Weighted-average rate paid (as a percent)     2.29%   2.21%
Weighted-average rate received (as a percent)     1.36%   1.40%
Derivative assets 104,535,000   $ 104,535,000    
Derivative liabilities (688,998,000)   (688,998,000)    
Gross amounts of recognized assets/liabilities 104,535,000   104,535,000   $ 115,276,000
Gross amount of derivative asset offset 0   0   0
Net amount of derivative asset presented on the balance sheet 104,535,000   104,535,000   115,276,000
Gross amount of derivative asset's pledged securities not offset 104,535,000   104,535,000   115,276,000
Gross amount of derivative asset's pledged cash not offset 0   0   0
Net amount of derivative asset 0   0   0
Gross amounts of recognized assets/liabilities 688,998,000   688,998,000   408,382,000
Gross amount offset against derivative liability 0   0   0
Net amount of derivative liabilities presented on the balance sheet 688,998,000   688,998,000   408,382,000
Gross amount of derivative liability's right to reclaim securities not offset 104,535,000   104,535,000   115,276,000
Gross amount of derivative liability's right to reclaim cash not offset 0   0   0
Net amount of derivative liabilities 584,463,000   584,463,000   293,106,000
Derivative cash settlements (22,556,000) (21,512,000) (65,285,000) (63,377,000)  
Derivative forward value (220,480,000) (77,258,000) (290,952,000) (159,832,000)  
Derivative gains (losses) (243,036,000) $ (98,770,000) (356,237,000) $ (223,209,000)  
Notional amount 10,230,641,000   10,230,641,000   9,625,533,000
Aggregate fair value of interest rate swaps with rating triggers that were in net liability position 412,000,000   412,000,000    
Derivative, Net Asset Position, Aggregate Fair Value 0   0    
Pay-fixed swaps          
Derivative Financial Instruments          
Notional amount 6,731,641,000   $ 6,731,641,000   $ 5,776,533,000
Weighted-average rate paid (as a percent)     2.95%   3.15%
Weighted-average rate received (as a percent)     0.61%   0.28%
Notional amount 6,731,641,000   $ 6,731,641,000   $ 5,776,533,000
Receive-fixed swaps          
Derivative Financial Instruments          
Notional amount 3,499,000,000   $ 3,499,000,000   $ 3,849,000,000
Weighted-average rate paid (as a percent)     1.01%   0.79%
Weighted-average rate received (as a percent)     2.82%   3.09%
Notional amount 3,499,000,000   $ 3,499,000,000   $ 3,849,000,000
Forward Contracts          
Derivative Financial Instruments          
Notional amount 40,000,000   40,000,000    
Notional amount 40,000,000   40,000,000    
Counterparty Group | Interest rate swaps          
Derivative Financial Instruments          
Notional amount 7,181,720,000   7,181,720,000    
Notional amount 7,181,720,000   7,181,720,000    
Entity's required payment (404,213,000)   (404,213,000)    
Entity's amount collected 0   0    
Entity's net payment (404,213,000)   (404,213,000)    
Counterparty Group | Moody's, A3 Rating Standard Poor's A- rating | Interest rate swaps | Mutual rating trigger falls to          
Derivative Financial Instruments          
Notional amount [1] 63,295,000   63,295,000    
Notional amount [1] 63,295,000   63,295,000    
Entity's required payment [1] (19,794,000)   (19,794,000)    
Entity's amount collected [1] 0   0    
Entity's net payment [1] (19,794,000)   (19,794,000)    
Counterparty Group | Baa1 | Interest rate swaps | Mutual rating trigger falls to          
Derivative Financial Instruments          
Notional amount 6,556,100,000   6,556,100,000    
Notional amount 6,556,100,000   6,556,100,000    
Entity's required payment (348,858,000)   (348,858,000)    
Entity's amount collected 0   0    
Entity's net payment (348,858,000)   (348,858,000)    
Counterparty Group | Moody's Baa 2 Rating Standard Poor's BBB Rating | Interest rate swaps | Mutual rating trigger falls to          
Derivative Financial Instruments          
Notional amount [2] 162,325,000   162,325,000    
Notional amount [2] 162,325,000   162,325,000    
Entity's required payment [2] (3,955,000)   (3,955,000)    
Entity's amount collected [2] 0   0    
Entity's net payment [2] (3,955,000)   (3,955,000)    
Counterparty Group | Moodys Baa3 Rating Standard Poor's BB Rating | Interest rate swaps | Mutual rating trigger falls to          
Derivative Financial Instruments          
Notional amount 400,000,000   400,000,000    
Notional amount 400,000,000   400,000,000    
Entity's required payment (31,606,000)   (31,606,000)    
Entity's amount collected 0   0    
Entity's net payment $ (31,606,000)   $ (31,606,000)    
[1] Rating trigger for CFC falls below A3/A-, while rating trigger for counterparty falls below Baa1/BBB+ by Moody’s or S&P, respectively.
[2] Rating trigger for CFC falls to or below Baa2/BBB, while rating trigger for counterparty falls to or below Ba2/BB+ by Moody’s or S&P, respectively.