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Fair Value Measurements - Fair Value by Balance Sheet Grouping (Details) - USD ($)
$ in Thousands
Sep. 30, 2016
Sep. 30, 2015
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value $ 1,922,894 $ 2,380,563
Held-to-maturity securities 1,441,556 1,637,420
Carrying Amount    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 1,922,894 2,380,563
Held-to-maturity securities 1,417,599 1,643,216
Carrying Amount | Level 1    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Cash and cash equivalents 450,368 284,049
Carrying Amount | Level 1 | Equity securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 101,824 101,952
Carrying Amount | Level 2    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
FHLB and FRB stock 117,205 107,198
Interest rate contracts 20,895 11,879
Customer accounts 10,600,852 10,631,703
FHLB advances and other borrowings 2,080,000 1,830,000
Carrying Amount | Level 2 | Interest rate contract    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other liabilities 20,895 11,879
Carrying Amount | Level 2 | Commercial loan hedge    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other liabilities 3,312 966
Carrying Amount | Level 2 | Long term borrowing hedge    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other liabilities 31,347 14,555
Carrying Amount | Level 2 | Agency pass through mortgage-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Held-to-maturity securities 1,417,599 1,643,216
Carrying Amount | Level 2 | U.S. government and agency securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 259,351 482,464
Carrying Amount | Level 2 | Municipal bonds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 27,670 27,123
Carrying Amount | Level 2 | Corporate debt securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 461,138 505,800
Carrying Amount | Level 2 | Agency pass through mortgage-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 993,041 1,160,518
Carrying Amount | Level 2 | Commercial MBS    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 79,870 102,706
Carrying Amount | Level 3    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Loans receivable 9,910,920 9,170,634
FDIC indemnification asset 12,769 16,275
Estimated Fair Value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 1,922,894 2,380,563
Held-to-maturity securities 1,441,556 1,637,420
Estimated Fair Value | Level 1    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Cash and cash equivalents 450,368 284,049
Estimated Fair Value | Level 1 | Equity securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 101,824 101,952
Estimated Fair Value | Level 2    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
FHLB and FRB stock 117,205 107,198
Interest rate contracts 20,895 11,879
Customer accounts 10,184,321 10,004,290
FHLB advances and other borrowings 2,184,671 1,938,384
Estimated Fair Value | Level 2 | Interest rate contract    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other liabilities 20,895 11,879
Estimated Fair Value | Level 2 | Commercial loan hedge    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other liabilities 3,312 966
Estimated Fair Value | Level 2 | Long term borrowing hedge    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other liabilities 31,347 14,555
Estimated Fair Value | Level 2 | Agency pass through mortgage-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Held-to-maturity securities 1,441,556 1,637,420
Estimated Fair Value | Level 2 | U.S. government and agency securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 259,351 482,464
Estimated Fair Value | Level 2 | Municipal bonds    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 27,670 27,123
Estimated Fair Value | Level 2 | Corporate debt securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 461,138 505,800
Estimated Fair Value | Level 2 | Agency pass through mortgage-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 993,041 1,160,518
Estimated Fair Value | Level 2 | Commercial MBS    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 79,870 102,706
Estimated Fair Value | Level 3    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Loans receivable 10,414,794 9,667,750
FDIC indemnification asset $ 12,095 $ 15,522