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Fair Value of Financial Instruments - Carrying Value and Estimated Fair Value of the Company's Financial Assets (Details) - USD ($) $ in Thousands	Sep. 30, 2020	Dec. 31, 2019	Sep. 30, 2019
Financial Assets:
Cash and cash equivalents	$ 649,822	$ 118,763	$ 65,906
Investment securities available for sale	323,399	1,760,812
Investment in unconsolidated entities, carrying value	218,706	189,965
Preferred equity and mezzanine loan investments, carrying value	142,945	169,214
Derivative assets	0	15,878
Financial Liabilities
Outstanding repurchase agreements		2,352,102
Subordinated debentures, carrying value	45,000	45,000
Convertible notes, carrying value	134,720	132,955
Residential collateralized debt obligations
Financial Liabilities
Secured debt, carrying value	268,820	40,429
Residential collateralized debt obligations, at fair value
Financial Liabilities
Secured debt, carrying value	1,077,980	1,052,829
VIE, Primary Beneficiary | Consolidated SLST
Financial Liabilities
Secured debt, carrying value	1,077,980	1,052,829
Level 1
Financial Assets:
Cash and cash equivalents	649,822	118,763
Cash and cash equivalents, estimated fair value	649,822	118,763
Level 2
Financial Assets:
Investment securities available for sale	603,697	2,006,140
Derivative assets	0	15,878
Financial Liabilities
Secured debt, carrying value	88,791	0
Secured debt, estimated fair value	90,096	0
Convertible notes, carrying value	134,720	132,955
Convertible notes, estimated fair value	135,457	140,865
Level 2 | Portfolio Investments
Financial Liabilities
Outstanding repurchase agreements	672,519	3,105,416
Level 3
Financial Assets:
Residential mortgage loans, at fair value	2,822,789
Investment in unconsolidated entities, carrying value	218,706	189,965
Investments in unconsolidated entities, estimated fair value	218,706	191,359
Preferred equity and mezzanine loan investments, carrying value	183,154	180,045
Preferred equity and mezzanine loan investments, estimated fair value	183,154	182,465
Loans held for sale, net, carrying value	0	2,406
Loans held for sale, net, estimated fair value	0	2,482
Financial Liabilities
Subordinated debentures, carrying value	45,000	45,000
Subordinated debentures, estimated fair value	32,548	41,592
Level 3 | Residential collateralized debt obligations
Financial Liabilities
Secured debt, carrying value	268,820	40,429
Secured debt, estimated fair value	269,749	38,888
Level 3 | Multi-family collateralized debt obligations, at fair value
Financial Liabilities
Secured debt, carrying value	0	16,724,451
Secured debt, estimated fair value	0	16,724,451
Level 3 | Residential collateralized debt obligations, at fair value
Financial Liabilities
Secured debt, carrying value	1,077,980	1,052,829
Secured debt, estimated fair value	1,077,980	1,052,829
Level 3 | Residential loans
Financial Assets:
Residential mortgage loans, at fair value	1,177,298	1,429,754
Level 3 | Residential loans held in securitization trusts
Financial Assets:
Residential mortgage loans, at fair value	355,486	0
Level 3 | Residential loans, net
Financial Assets:
Residential mortgage loans	0	202,756
Residential mortgage loans, estimated fair value	0	208,471
Level 3 | Multi-family loans held in securitization trusts, at fair value
Financial Assets:
Residential mortgage loans	0	17,816,746
Residential mortgage loans, estimated fair value	0	17,816,746
Level 3 | VIE, Primary Beneficiary | Residential collateralized debt obligations, at fair value
Financial Liabilities
Secured debt, carrying value	1,077,980
Level 3 | VIE, Primary Beneficiary | Consolidated SLST
Financial Assets:
Residential mortgage loans, at fair value	$ 1,290,005	$ 1,328,886

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