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Fair Value Measurements - Fair Value by Balance Sheet Grouping (Details) - USD ($)
$ in Thousands
Mar. 31, 2023
Sep. 30, 2022
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities, at fair value $ 2,006,286 $ 2,051,037
FHLB stock 147,078 95,073
Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities, at fair value 2,006,286 2,051,037
Held-to-maturity securities 445,222 463,299
Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities, at fair value 2,006,286 2,051,037
Held-to-maturity securities 401,076 406,860
Level 1 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Cash and cash equivalents 1,118,544 683,965
Level 1 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Cash and cash equivalents 1,118,544 683,965
Level 2 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
FHLB stock 147,078 95,073
Time deposits 3,980,605 3,338,043
Borrowings 3,800,000 2,125,000
Level 2 | Carrying Amount | Client swap program hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 54,935 67,260
Other liabilities 54,910 67,260
Level 2 | Carrying Amount | Commercial loan fair value hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 1,854 2,517
Other liabilities 0 0
Level 2 | Carrying Amount | Mortgage loan fair value hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 27,971 36,765
Other liabilities 0 0
Level 2 | Carrying Amount | Borrowings cash flow hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 151,167 179,945
Level 2 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
FHLB stock 147,078 95,073
Time deposits 3,902,413 3,249,169
Borrowings 3,789,250 1,940,813
Level 2 | Estimated Fair Value | Client swap program hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 54,935 67,260
Other liabilities 54,910 67,260
Level 2 | Estimated Fair Value | Commercial loan fair value hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 1,854 2,517
Other liabilities 0 0
Level 2 | Estimated Fair Value | Mortgage loan fair value hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 27,971 36,765
Other liabilities 0 0
Level 2 | Estimated Fair Value | Borrowings cash flow hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 151,167 179,945
Level 3 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Loans receivable 17,271,906 16,113,564
Level 3 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Loans receivable 16,632,415 15,417,635
U.S. government and agency securities | Level 2 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities, at fair value 94,772 39,354
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, at fair value 94,772 39,354
Asset-backed securities | Level 2 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities, at fair value 654,070 767,001
Asset-backed securities | Level 2 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities, at fair value 654,070 767,001
Municipal bonds | Level 2 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities, at fair value 35,297 34,962
Municipal bonds | Level 2 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities, at fair value 35,297 34,962
Corporate debt securities | Level 2 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities, at fair value 322,403 313,757
Corporate debt securities | Level 2 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities, at fair value 322,403 313,757
Agency pass-through certificates | Level 2 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities, at fair value 899,744 895,963
Held-to-maturity securities 445,222 463,299
Agency pass-through certificates | Level 2 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities, at fair value 899,744 895,963
Held-to-maturity securities $ 401,076 $ 406,860