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Fair Value Measurements - Fair Value by Balance Sheet Grouping (Details) - USD ($)
$ in Thousands
Jun. 30, 2023
Sep. 30, 2022
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities, at fair value $ 2,036,233 $ 2,051,037
FHLB stock 130,875 95,073
Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities, at fair value 2,036,233 2,051,037
Held-to-maturity securities 434,172 463,299
Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities, at fair value 2,036,233 2,051,037
Held-to-maturity securities 384,312 406,860
Level 1 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Cash and cash equivalents 1,139,643 683,965
Level 1 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Cash and cash equivalents 1,139,643 683,965
Level 2 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
FHLB stock 130,875 95,073
Time deposits 4,863,849 3,338,043
Borrowings 3,750,000 2,125,000
Level 2 | Carrying Amount | Client swap program hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 64,869 67,260
Other liabilities 65,772 67,260
Level 2 | Carrying Amount | Commercial loan fair value hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 2,341 2,517
Level 2 | Carrying Amount | Mortgage loan fair value hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 40,707 36,765
Level 2 | Carrying Amount | Borrowings cash flow hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 165,924 179,945
Level 2 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
FHLB stock 130,875 95,073
Time deposits 4,773,772 3,249,169
Borrowings 3,738,757 1,940,813
Level 2 | Estimated Fair Value | Client swap program hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 64,869 67,260
Other liabilities 65,772 67,260
Level 2 | Estimated Fair Value | Commercial loan fair value hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 2,341 2,517
Level 2 | Estimated Fair Value | Mortgage loan fair value hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 40,707 36,765
Level 2 | Estimated Fair Value | Borrowings cash flow hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 165,924 179,945
Level 3 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Loans receivable 17,384,188 16,113,564
Level 3 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Loans receivable 16,652,719 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 192,559 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 192,559 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 611,784 767,001
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 611,784 767,001
Municipal bonds | Level 2 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities, at fair value 35,049 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 35,049 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 246,631 313,757
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 246,631 313,757
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 950,210 895,963
Held-to-maturity securities 434,172 463,299
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 950,210 895,963
Held-to-maturity securities $ 384,312 $ 406,860