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Fair Value of Financial Instruments - Valuation for Level 3 Assets (Details) - USD ($)
$ in Thousands
 12 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Balance at beginning of period $ 12,503,064 $ 9,835,319 $ 7,061,842
Total (losses)/gains (realized/unrealized)      
Included in earnings 620,942 (117,330) (17,841)
Included in other comprehensive income (loss) (13,665) 798 602
Transfers out (913) (56)  
Contributions 50,000   2,500
Paydowns/Distributions (1,182,762) (180,788) (176,037)
Charge-off (3,257)    
Sales (76,583) (18,173) (7,224)
Purchases 8,762,442 2,983,294 2,971,477
Balance at the end of period 20,659,268 12,503,064 9,835,319
Multi-family loans held in securitization trusts      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Balance at beginning of period 11,679,847 9,657,421 6,939,844
Total (losses)/gains (realized/unrealized)      
Included in earnings 533,094 (134,298) (31,784)
Included in other comprehensive income (loss) 0 0 0
Transfers out 0 0  
Contributions 0   0
Paydowns/Distributions (992,912) (137,820) (137,164)
Charge-off (3,257)    
Sales 0 0 0
Purchases 6,599,974 2,294,544 2,886,525
Balance at the end of period 17,816,746 11,679,847 9,657,421
Distressed and other residential mortgage loans      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Balance at beginning of period 737,523 87,153 17,769
Total (losses)/gains (realized/unrealized)      
Included in earnings 55,459 3,913 135
Included in other comprehensive income (loss) 0 0 0
Transfers out (913) (56)  
Contributions 0   0
Paydowns/Distributions (171,909) (24,064) (8,479)
Sales (19,814) (18,173) (7,224)
Purchases 829,408 688,750 84,952
Balance at the end of period 1,429,754 737,523 87,153
Investments in unconsolidated entities      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Balance at beginning of period 32,994 42,823 60,332
Total (losses)/gains (realized/unrealized)      
Included in earnings 15,100 9,075 10,385
Included in other comprehensive income (loss) 0 0 0
Transfers out 0 0  
Contributions 50,000   2,500
Paydowns/Distributions (14,212) (18,904) (30,394)
Sales 0 0 0
Purchases 0 0 0
Balance at the end of period 83,882 32,994 42,823
CMBS held in re-securitization trusts      
Fair Value, Assets Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Balance at beginning of period 52,700 47,922 43,897
Total (losses)/gains (realized/unrealized)      
Included in earnings 17,734 3,980 3,423
Included in other comprehensive income (loss) (13,665) 798 602
Transfers out 0 0  
Contributions 0   0
Paydowns/Distributions 0 0 0
Sales (56,769) 0 0
Purchases 0 0 0
Balance at the end of period 0 52,700 $ 47,922
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 (445)    
Included in other comprehensive income (loss) 0    
Transfers out 0    
Contributions 0    
Paydowns/Distributions (3,729)    
Sales 0    
Purchases 1,333,060    
Balance at the end of period $ 1,328,886 $ 0