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Fair Value of Financial Instruments - Valuation for Level 3 Assets (Details) - USD ($)
$ in Thousands
12 Months Ended
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2018
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Balance at beginning of period $ 20,659,268 $ 12,503,064 $ 9,835,319
Total (losses)/gains (realized/unrealized)      
Included in earnings 138,979 620,942 (117,330)
Included in other comprehensive income (loss)   (13,665) 798
Transfers in 500,793    
Transfers out (254,525) (913) (56)
Transfers to securitization trust 0    
Contributions 80,500 50,000  
Paydowns/Distributions (744,378) (1,182,762) (180,788)
Recovery of charge-off 35 (3,257)  
Sales (17,478,375) (76,583) (18,173)
Purchases 569,557 8,762,442 2,983,294
Balance at the end of period 3,471,854 20,659,268 12,503,064
VIE, Primary Beneficiary | Consolidated SLST      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Balance at beginning of period 1,328,886 0  
Total (losses)/gains (realized/unrealized)      
Included in earnings 27,898 (445)  
Included in other comprehensive income (loss)   0  
Transfers in 0    
Transfers out 0 0  
Transfers to securitization trust 0    
Contributions 0 0  
Paydowns/Distributions (89,999) (3,729)  
Recovery of charge-off 0 0  
Sales 0 0  
Purchases 0 1,333,060  
Balance at the end of period 1,266,785 1,328,886 0
VIE, Primary Beneficiary | Consolidated K-Series      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Balance at beginning of period 17,816,746 11,679,847  
Total (losses)/gains (realized/unrealized)      
Included in earnings 41,795 533,094  
Included in other comprehensive income (loss)   0  
Transfers in 0    
Transfers out (237,297) 0  
Transfers to securitization trust 0    
Contributions 0 0  
Paydowns/Distributions (239,796) (992,912)  
Recovery of charge-off 35 (3,257)  
Sales (17,381,483) 0  
Purchases 0 6,599,974  
Balance at the end of period 0 17,816,746 11,679,847
Multi-Family Loans Held in Securitization Trust | Consolidated K-Series      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Balance at beginning of period   11,679,847 9,657,421
Total (losses)/gains (realized/unrealized)      
Included in earnings     (134,298)
Included in other comprehensive income (loss)     0
Transfers out     0
Paydowns/Distributions     (137,820)
Sales     0
Purchases     2,294,544
Balance at the end of period     11,679,847
CMBS held in re-securitization trusts      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Balance at beginning of period 0 52,700 47,922
Total (losses)/gains (realized/unrealized)      
Included in earnings   17,734 3,980
Included in other comprehensive income (loss)   (13,665) 798
Transfers out   0 0
Contributions   0  
Paydowns/Distributions   0 0
Recovery of charge-off   0  
Sales   (56,769) 0
Purchases   0 0
Balance at the end of period   0 52,700
Residential Mortgage Loans Held In Securitization Trust      
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 31,402    
Transfers in 46,572    
Transfers out (2,492)    
Transfers to securitization trust 651,911    
Contributions 0    
Paydowns/Distributions (35,942)    
Recovery of charge-off 0    
Sales 0    
Purchases 0    
Balance at the end of period 691,451 0  
Residential Mortgage Loans      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Balance at beginning of period 1,429,754 737,523 87,153
Total (losses)/gains (realized/unrealized)      
Included in earnings (9,240) 55,459 3,913
Included in other comprehensive income (loss)   0 0
Transfers in 164,279    
Transfers out (6,017) (913) (56)
Transfers to securitization trust (651,911)    
Contributions 0 0  
Paydowns/Distributions (308,600) (171,909) (24,064)
Recovery of charge-off 0 0  
Sales (96,892) (19,814) (18,173)
Purchases 569,557 829,408 688,750
Balance at the end of period 1,090,930 1,429,754 737,523
Multi-family loans      
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 20,454    
Transfers in 182,465    
Transfers out (8,719)    
Transfers to securitization trust 0    
Contributions 14,164    
Paydowns/Distributions (44,771)    
Recovery of charge-off 0    
Sales 0    
Purchases 0    
Balance at the end of period 163,593 0  
Equity Method Investments      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Balance at beginning of period 83,882 32,994 42,823
Total (losses)/gains (realized/unrealized)      
Included in earnings 26,670 15,100 9,075
Included in other comprehensive income (loss)   0 0
Transfers in 107,477    
Transfers out 0 0 0
Transfers to securitization trust 0    
Contributions 66,336 50,000  
Paydowns/Distributions (25,270) (14,212) (18,904)
Recovery of charge-off 0 0  
Sales 0 0 0
Purchases 0 0 0
Balance at the end of period $ 259,095 $ 83,882 $ 32,994