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Fair Value Measurements - Fair Value by Balance Sheet Grouping (Details) - USD ($)
$ in Thousands
Mar. 31, 2022
Sep. 30, 2021
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities, at fair value $ 1,909,605 $ 2,138,259
FHLB and FRB stock 78,873 102,863
Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities, at fair value 1,909,605 2,138,259
Held-to-maturity securities 301,221 366,025
Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities, at fair value 1,909,605 2,138,259
Held-to-maturity securities 294,354 379,547
Level 1 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Cash and cash equivalents 1,947,504 2,090,809
Level 1 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Cash and cash equivalents 1,947,504 2,090,809
Level 2 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
FHLB and FRB stock 78,873 102,863
Time deposits 3,251,042 3,434,087
FHLB advances 1,720,000 1,720,000
Level 2 | Carrying Amount | Client swap program hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 27,353 10,983
Other liabilities 27,353 10,983
Level 2 | Carrying Amount | Commercial loan fair value hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other liabilities 38 2,177
Level 2 | Carrying Amount | Mortgage loan fair value hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 19,281 0
Other liabilities 0 1,641
Level 2 | Carrying Amount | Borrowings cash flow hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 105,211 42,442
Level 2 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
FHLB and FRB stock 78,873 102,863
Time deposits 3,199,750 3,382,206
FHLB advances 1,601,795 1,692,412
Level 2 | Estimated Fair Value | Client swap program hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 27,353 10,983
Other liabilities 27,353 10,983
Level 2 | Estimated Fair Value | Commercial loan fair value hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other liabilities 38 2,177
Level 2 | Estimated Fair Value | Mortgage loan fair value hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 19,281 0
Other liabilities 0 1,641
Level 2 | Estimated Fair Value | Borrowings cash flow hedges    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Other assets 105,211 42,442
Level 3 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Loans receivable 15,094,926 13,833,570
Level 3 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Loans receivable 15,189,282 14,279,725
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 49,809 61,779
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 49,809 61,779
Asset-backed securities | Level 2 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities, at fair value 889,426 1,078,681
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 889,426 1,078,681
Municipal bonds | Level 2 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities, at fair value 38,468 39,984
Municipal bonds | Level 2 | Estimated Fair Value    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities, at fair value 38,468 39,984
Corporate debt securities | Level 2 | Carrying Amount    
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]    
Available-for-sale securities, at fair value 333,999 350,988
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 333,999 350,988
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 597,903 606,827
Held-to-maturity securities 301,221 366,025
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 597,903 606,827
Held-to-maturity securities $ 294,354 $ 379,547