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Fair Value Measurements - Fair Value by Balance Sheet Grouping (Details) - USD ($)
$ in Thousands
Sep. 30, 2021
Sep. 30, 2020
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value $ 2,138,259 $ 2,249,492
Held-to-maturity securities 366,025 705,838
Carrying Amount    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 2,138,259 2,249,492
Held-to-maturity securities 366,025 705,838
Carrying Amount | Level 1    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Cash and cash equivalents 2,090,809 1,702,977
Carrying Amount | Level 2    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
FHLB and FRB stock 102,863 141,990
Time deposits 3,434,087 3,973,192
FHLB advances and other borrowings 1,720,000 2,700,000
Carrying Amount | Level 2 | Client swap program hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other assets 10,983 48,201
Other liabilities 10,983 48,201
Carrying Amount | Level 2 | Commercial loan fair value hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other liabilities 2,177 8,492
Carrying Amount | Level 2 | Mortgage loan fair value hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other liabilities 1,641 16,061
Carrying Amount | Level 2 | Borrowings cash flow hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other assets 42,442 0
Other liabilities 0 17,375
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 61,779 18,824
Carrying Amount | Level 2 | Asset-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 1,078,681 936,917
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 39,984 38,315
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 350,988 287,184
Carrying Amount | Level 2 | Agency pass-through certificates    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 606,827 968,252
Held-to-maturity securities 366,025 698,934
Carrying Amount | Level 2 | Commercial MBS    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Held-to-maturity securities 0 6,904
Carrying Amount | Level 3    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Loans receivable 13,833,570 12,792,317
Estimated Fair Value    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 2,138,259 2,249,492
Held-to-maturity securities 379,547 727,368
Estimated Fair Value | Level 1    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Cash and cash equivalents 2,090,809 1,702,977
Estimated Fair Value | Level 2    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
FHLB and FRB stock 102,863 141,990
Time deposits 3,382,206 3,963,203
FHLB advances and other borrowings 1,692,412 2,722,509
Estimated Fair Value | Level 2 | Client swap program hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other assets 10,983 48,201
Other liabilities 10,983 48,201
Estimated Fair Value | Level 2 | Commercial loan fair value hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other liabilities 2,177 8,492
Estimated Fair Value | Level 2 | Mortgage loan fair value hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other liabilities 1,641 16,061
Estimated Fair Value | Level 2 | Borrowings cash flow hedges    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Other assets 42,442 0
Other liabilities 0 17,375
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 61,779 18,824
Estimated Fair Value | Level 2 | Asset-backed securities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 1,078,681 936,917
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 39,984 38,315
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 350,988 287,184
Estimated Fair Value | Level 2 | Agency pass-through certificates    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Available-for-sale securities, at fair value 606,827 968,252
Held-to-maturity securities 379,547 720,516
Estimated Fair Value | Level 2 | Commercial MBS    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Held-to-maturity securities 0 6,852
Estimated Fair Value | Level 3    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Loans receivable $ 14,279,725 $ 13,392,089