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Fair Value Measurements - Fair Value by Balance Sheet Grouping (Details) - USD ($)
$ in Thousands
Mar. 31, 2019
Sep. 30, 2018
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities   $ 1,314,957
Held-to-maturity securities $ 1,535,552 1,548,770
FHLB and FRB stock 138,390 127,190
Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 1,545,606 1,314,957
Held-to-maturity securities 1,553,683 1,625,420
Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 1,545,606 1,314,957
Held-to-maturity securities 1,535,552 1,548,770
Level 1 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Cash and cash equivalents 279,554 268,650
Level 1 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Cash and cash equivalents 279,554 268,650
Level 2 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
FHLB and FRB stock 138,390 127,190
Time deposit accounts 4,939,365 4,804,803
FHLB advances 2,610,000 2,330,000
Level 2 | Carrying Amount | Interest rate contracts    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 2,822 12,731
Other liabilities - interest rate contracts 2,822 12,731
Level 2 | Carrying Amount | Commercial loan hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 0 3,857
Other liabilities - interest rate contracts 94 0
Level 2 | Carrying Amount | Borrowings cash flow hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 5,600 22,250
Level 2 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
FHLB and FRB stock 138,390 127,190
Time deposit accounts 4,942,666 4,779,040
FHLB advances 2,590,365 2,316,964
Level 2 | Estimated Fair Value | Interest rate contracts    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 2,822 12,731
Other liabilities - interest rate contracts 2,822 12,731
Level 2 | Estimated Fair Value | Commercial loan hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 0 3,857
Other liabilities - interest rate contracts 94 0
Level 2 | Estimated Fair Value | Borrowings cash flow hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 5,600 22,250
Level 3 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Loans receivable 11,894,836 11,477,081
Level 3 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Loans receivable 12,234,924 11,556,326
Equity securities | Level 1 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities   488
Equity securities | Level 1 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities   488
U.S. government and agency securities | Level 2 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 235,280 207,293
U.S. government and agency securities | Level 2 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 235,280 207,293
Municipal bonds | Level 2 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 22,408 22,978
Municipal bonds | Level 2 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 22,408 22,978
Corporate debt securities | Level 2 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 257,981 184,695
Corporate debt securities | Level 2 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 257,981 184,695
Agency pass-through certificates    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Held-to-maturity securities 1,520,608 1,533,742
Agency pass-through certificates | Level 2 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 1,029,937 896,041
Held-to-maturity securities 1,538,683 1,610,420
Agency pass-through certificates | Level 2 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 1,029,937 896,041
Held-to-maturity securities 1,520,608 1,533,742
Commercial MBS    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Held-to-maturity securities 14,944 15,028
Commercial MBS | Level 2 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 0 3,462
Held-to-maturity securities 15,000 15,000
Commercial MBS | Level 2 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities 0 3,462
Held-to-maturity securities $ 14,944 $ 15,028