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Fair Value of Financial Instruments - Valuation for Level 3 Assets (Details) - USD ($)
12 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2020
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Balance at beginning of period $ 3,935,253,000 $ 3,471,854,000 $ 20,659,268,000
Total (losses)/gains (realized/unrealized)      
Included in earnings (375,144,000) 99,416,000 138,979,000
Transfers in     500,793,000
Transfers out (18,858,000) (4,133,000) (254,525,000)
Transfers to securitization trust, net 0 0 0
Transfer to disposal group held for sale 0    
Funding/Contributions 28,086,000 145,143,000 80,500,000
Paydowns/Distributions (1,501,232,000) (1,281,879,000) (744,378,000)
Recovery of charge-off     35,000
Sales   (77,127,000) (17,478,375,000)
Purchases 1,733,265,000 1,581,979,000 569,557,000
Balance at the end of period $ 3,801,370,000 $ 3,935,253,000 $ 3,471,854,000
Fair Value, Asset, Recurring Basis, Unobservable Input Reconciliation, Gain (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration] Total non-interest (loss) income Total non-interest (loss) income Total non-interest (loss) income
VIE, Primary Beneficiary      
Total (losses)/gains (realized/unrealized)      
Sales     $ 16,589,867,000
VIE, Primary Beneficiary | Consolidated SLST      
Total (losses)/gains (realized/unrealized)      
Sales     (22,226,000)
VIE, Primary Beneficiary | Consolidated K-Series      
Total (losses)/gains (realized/unrealized)      
Sales     16,612,093,000
Residential loans      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Balance at beginning of period $ 1,703,290,000 $ 1,090,930,000 1,429,754,000
Total (losses)/gains (realized/unrealized)      
Included in earnings (111,879,000) 36,844,000 (9,240,000)
Transfers in     164,279,000
Transfers out (17,052,000) (2,080,000) (6,017,000)
Transfers to securitization trust, net (1,422,577,000) (305,433,000) (651,911,000)
Transfer to disposal group held for sale 0    
Funding/Contributions 0 0 0
Paydowns/Distributions (712,214,000) (618,790,000) (308,600,000)
Recovery of charge-off     0
Sales   (74,751,000) (96,892,000)
Purchases 1,641,816,000 1,576,570,000 569,557,000
Balance at the end of period 1,081,384,000 1,703,290,000 1,090,930,000
Residential loans | VIE, Primary Beneficiary | Consolidated SLST      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Balance at beginning of period 1,070,882,000 1,266,785,000 1,328,886,000
Total (losses)/gains (realized/unrealized)      
Included in earnings (128,236,000) (35,953,000) 27,898,000
Transfers in     0
Transfers out 0 0 0
Transfers to securitization trust, net 0 0 0
Transfer to disposal group held for sale 0    
Funding/Contributions 0 0 0
Paydowns/Distributions (115,064,000) (159,950,000) (89,999,000)
Recovery of charge-off     0
Sales   0 0
Purchases 0 0 0
Balance at the end of period 827,582,000 1,070,882,000 1,266,785,000
Residential loans held in securitization trusts      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Balance at beginning of period 801,429,000 691,451,000 0
Total (losses)/gains (realized/unrealized)      
Included in earnings (162,518,000) 43,001,000 31,402,000
Transfers in     46,572,000
Transfers out (1,806,000) (2,053,000) (2,492,000)
Transfers to securitization trust, net 1,422,577,000 305,433,000 651,911,000
Transfer to disposal group held for sale 0    
Funding/Contributions 0 0 0
Paydowns/Distributions (535,017,000) (239,436,000) (35,942,000)
Recovery of charge-off     0
Sales   (2,376,000) 0
Purchases 91,449,000 5,409,000 0
Balance at the end of period 1,616,114,000 801,429,000 691,451,000
Multi-family loans      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Balance at beginning of period 120,021,000 163,593,000  
Total (losses)/gains (realized/unrealized)      
Included in earnings 9,531,000 18,795,000  
Transfers out 0 0  
Transfers to securitization trust, net 0 0  
Transfer to disposal group held for sale 0    
Funding/Contributions 0 37,678,000  
Paydowns/Distributions (42,018,000) (100,045,000)  
Sales   0  
Purchases 0 0  
Balance at the end of period 87,534,000 120,021,000 163,593,000
Multi-family loans | VIE, Primary Beneficiary | Consolidated K-Series      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Balance at beginning of period   0 17,816,746,000
Total (losses)/gains (realized/unrealized)      
Included in earnings     41,795,000
Transfers in     0
Transfers out     (237,297,000)
Transfers to securitization trust, net     0
Funding/Contributions     0
Paydowns/Distributions     (239,796,000)
Recovery of charge-off     35,000
Sales     (17,381,483,000)
Purchases     0
Balance at the end of period     0
Preferred equity and mezzanine loan investments      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Balance at beginning of period   163,593,000 0
Total (losses)/gains (realized/unrealized)      
Included in earnings     20,454,000
Transfers in     182,465,000
Transfers out     (8,719,000)
Transfers to securitization trust, net     0
Funding/Contributions     14,164,000
Paydowns/Distributions     (44,771,000)
Recovery of charge-off     0
Sales     0
Purchases     0
Balance at the end of period     163,593,000
Equity investments      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Balance at beginning of period 239,631,000 259,095,000 83,882,000
Total (losses)/gains (realized/unrealized)      
Included in earnings 18,884,000 36,729,000 26,670,000
Transfers in     107,477,000
Transfers out 0 0 0
Transfers to securitization trust, net 0 0 0
Transfer to disposal group held for sale (9,936,000)    
Funding/Contributions 28,086,000 107,465,000 66,336,000
Paydowns/Distributions (96,919,000) (163,658,000) (25,270,000)
Recovery of charge-off     0
Sales   0 0
Purchases 0 0 0
Balance at the end of period 179,746,000 239,631,000 $ 259,095,000
Equity investments in disposal group held for sale      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Balance at beginning of period 0    
Total (losses)/gains (realized/unrealized)      
Included in earnings (926,000)    
Transfers out 0    
Transfers to securitization trust, net 0    
Transfer to disposal group held for sale 9,936,000    
Funding/Contributions 0    
Paydowns/Distributions 0    
Purchases 0    
Balance at the end of period $ 9,010,000 $ 0