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DERIVATIVES AND HEDGING ACTIVITIES - Gains/(Losses) on Derivative Instruments in Fair Value and Cash Flow Accounting Hedging Relationships (Details) - USD ($)
$ in Thousands
 12 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2023
Derivative Instruments, Gain (Loss) [Line Items]      
Interest income/(expense), including the effects of fair value and cash flow hedges $ 1,119,937 $ 1,165,849 $ 900,068
Interest on mortgage-backed securities 103,071 59,782 43,184
Interest income/(expense), including the effects of fair value and cash flow hedges (80,507) (178,444) $ (115,488)
Interest rate contracts | Interest income on loans receivable | Fair value hedging      
Gain/(loss) on fair value hedging relationships:      
Amounts related to interest settlements on derivatives 20,641 39,223  
Recognized on derivatives 2,222 (67,785)  
Recognized on hedged items (9,194) 67,639  
Net income/(expense) recognized on fair value hedges 13,669 39,077  
Interest rate contracts | Interest on mortgage-backed securities | Fair value hedging      
Gain/(loss) on fair value hedging relationships:      
Amounts related to interest settlements on derivatives 962 0  
Recognized on derivatives (15,086) 0  
Recognized on hedged items 15,452 0  
Net income/(expense) recognized on fair value hedges 1,328 0  
Interest rate contracts | Interest expense on FHLB advances | Cash flow hedging      
Gain/(loss) on cash flow hedging relationships:      
Amounts related to interest settlements on derivatives 35,474 46,645  
Amount of derivative gain/(loss) reclassified from AOCI into interest income/expense 0 0  
Net income/(expense) recognized on cash flow hedges $ 35,474 $ 46,645