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Use of Special Purpose Entities (SPE) and Variable Interest Entities (VIE) - Assets and Liabilities of Consolidated VIEs (Details)		12 Months Ended
		Dec. 31, 2018 USD ($) securitization		Jan. 01, 2020 USD ($)	Dec. 31, 2019 USD ($)		Dec. 31, 2017 USD ($)
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Cash and cash equivalents		$ 103,724,000			$ 118,763,000		$ 95,191,000
Real estate held for sale in consolidated variable interest entities		29,704,000			0
Receivables and other assets		114,821,000		$ 3,620,000	169,214,000
Total Assets		14,737,638,000	[1]	$ 502,033,000	23,483,369,000	[1]
Mortgages and notes payable in consolidated variable interest entities		31,227,000			0
Accrued expenses and other liabilities		101,228,000			177,260,000
Total liabilities	[1]	13,557,345,000			21,278,340,000
Residential collateralized debt obligations
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Residential and multi-family collateralized debt obligations		53,040,000			40,429,000
Residential collateralized debt obligations, at fair value
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Residential and multi-family collateralized debt obligations		0			1,052,829,000
Class A Notes | Collateralized Mortgage Obligations
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Transfer of financial assets accounted for as sale, initial fair value of assets obtained as proceeds		$ 177,500,000
Available-for-sale securities, debt securities, ownership percentage		5.00%
Financing VIEs, Residential Mortgage Loan Securitization
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Cash and cash equivalents		$ 0			0
Receivables and other assets		1,061,000			1,328,000
Total Assets		57,856,000			45,358,000
Accrued expenses and other liabilities		26,000			14,000
Total liabilities		53,066,000			40,443,000
Financing VIEs, Residential Mortgage Loan Securitization | Residential collateralized debt obligations
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Residential and multi-family collateralized debt obligations		53,040,000			40,429,000
Financing VIEs, Residential Mortgage Loan Securitization | Residential mortgage loans held in securitization trusts, net
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Mortgage loans held in securitization trusts, net		56,795,000			44,030,000
Consolidated K-Series
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Cash and cash equivalents		0			0
Receivables and other assets		37,679,000			59,417,000
Total Assets		10,610,455,000			17,876,163,000
Accrued expenses and other liabilities		37,022,000			57,873,000
Total liabilities		10,022,666,000			16,782,324,000
Consolidated K-Series | Residential collateralized debt obligations
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Residential and multi-family collateralized debt obligations					0
Consolidated K-Series | Multi-Family CDOs
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Residential and multi-family collateralized debt obligations		9,985,644,000			16,724,451,000
Consolidated K-Series | Multi-family loans held in securitization trusts, at fair value
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Multi-family loans held in securitization trusts, at fair value		10,572,776,000			17,816,746,000
Consolidated SLST
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Cash and cash equivalents					0
Multi-family loans held in securitization trusts, at fair value					1,328,886,000
Receivables and other assets					5,244,000
Total Assets					1,334,130,000
Residential and multi-family collateralized debt obligations					1,052,829,000
Accrued expenses and other liabilities					2,643,000
Total liabilities					1,055,472,000
Consolidated SLST | Residential collateralized debt obligations
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Residential and multi-family collateralized debt obligations					0
Consolidated SLST | Residential collateralized debt obligations, at fair value
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Residential and multi-family collateralized debt obligations					1,052,829,000
Consolidated SLST | Residential mortgage loans held in securitization trust, at fair value
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Mortgage loans held in securitization trusts, net					1,328,886,000
Other VIEs
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Cash and cash equivalents		708,000			107,000
Real estate held for sale in consolidated variable interest entities		29,704,000
Receivables and other assets		23,254,000			14,626,000
Total Assets		53,666,000			14,733,000
Mortgages and notes payable in consolidated variable interest entities		31,227,000
Accrued expenses and other liabilities		1,166,000			75,000
Total liabilities		32,393,000			75,000
Other VIEs | Residential collateralized debt obligations
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Residential and multi-family collateralized debt obligations					0
Financing VIEs, Multi-family CMBS Re-securitization
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Cash and cash equivalents		0
Investment securities available for sale, at fair value held in securitization trusts		52,700,000
Receivables and other assets		4,243,000
Total Assets		1,164,014,000
Securitized debt		30,121,000
Accrued expenses and other liabilities		4,228,000
Total liabilities		$ 1,070,953,000
Number of securitizations | securitization		2
Number of consolidated securitizations | securitization		1
Financing VIEs, Multi-family CMBS Re-securitization | Multi-Family CDOs
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Residential and multi-family collateralized debt obligations		$ 1,036,604,000
Financing VIEs, Multi-family CMBS Re-securitization | Residential mortgage loans held in securitization trusts, net
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Mortgage loans held in securitization trusts, net		0
Financing VIEs, Multi-family CMBS Re-securitization | Multi-family loans held in securitization trusts, at fair value
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Multi-family loans held in securitization trusts, at fair value		1,107,071,000
Financing VIEs, Distressed Residential Mortgage Loan Securitization
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Cash and cash equivalents		0
Receivables and other assets		10,287,000
Total Assets		98,383,000
Securitized debt		12,214,000
Accrued expenses and other liabilities		444,000
Total liabilities		12,658,000
Financing VIEs, Distressed Residential Mortgage Loan Securitization | Residential mortgage loans held in securitization trust, at fair value
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Mortgage loans held in securitization trusts, net		88,096,000
Financing And Other VIEs
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Cash and cash equivalents		708,000			107,000
Investment securities available for sale, at fair value held in securitization trusts		52,700,000
Multi-family loans held in securitization trusts, at fair value		11,679,847,000
Real estate held for sale in consolidated variable interest entities		29,704,000
Receivables and other assets		76,524,000			80,615,000
Total Assets		11,984,374,000			19,270,384,000
Securitized debt		42,335,000
Mortgages and notes payable in consolidated variable interest entities		31,227,000
Accrued expenses and other liabilities		42,886,000			60,605,000
Total liabilities		11,191,736,000			17,878,314,000
Financing And Other VIEs | Residential collateralized debt obligations
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Residential and multi-family collateralized debt obligations		53,040,000			40,429,000
Financing And Other VIEs | Residential collateralized debt obligations, at fair value
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Residential and multi-family collateralized debt obligations					1,052,829,000
Financing And Other VIEs | Multi-Family CDOs
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Residential and multi-family collateralized debt obligations		11,022,248,000			16,724,451,000
Financing And Other VIEs | Residential mortgage loans held in securitization trusts, net
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Mortgage loans held in securitization trusts, net		56,795,000			44,030,000
Financing And Other VIEs | Residential mortgage loans held in securitization trust, at fair value
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Mortgage loans held in securitization trusts, net		$ 88,096,000			1,328,886,000
Financing And Other VIEs | Multi-family loans held in securitization trusts, at fair value
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Multi-family loans held in securitization trusts, at fair value					$ 17,816,746,000
Non-Financing VIEs, Multi-Family CMBS
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Number of securitizations considered non-financing VIEs | securitization		8
[1] Our consolidated balance sheets include assets and liabilities of consolidated variable interest entities (“VIEs”) as the Company is the primary beneficiary of these VIEs. As of December 31, 2019 and December 31, 2018, assets of consolidated VIEs totaled $19,270,384 and $11,984,374, respectively, and the liabilities of consolidated VIEs totaled $17,878,314 and $11,191,736, respectively. See Note 9 for further discussion.

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