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Credit Enhancement Receivable, Credit Enhancement Deposit and Contingent Liability (Details) - USD ($)
3 Months Ended 9 Months Ended 12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2020
Sep. 30, 2019
Dec. 31, 2019
Credit Enhancement Receivable Contingent Liability And Credit Enhancement Deposit          
Credit risk loans $ 22,658,120,000   $ 22,658,120,000   $ 20,209,577,000
Credit enhancement receivable 0   0   0
Deposit in Fannie Mae restricted liquidity account 25,000,000.0   25,000,000.0   25,000,000.0
Credit Risk          
Credit Enhancement Receivable Contingent Liability And Credit Enhancement Deposit          
Maximum DB Cayman credit protection 28,762,000   28,762,000   29,253,000
DB Cayman | Credit Risk          
Credit Enhancement Receivable Contingent Liability And Credit Enhancement Deposit          
Reimbursements under serving agreement 0 $ 0 0 $ 0  
Credit risk loans $ 6,698,151,000   6,698,151,000   5,835,163,000
Maximum pre-credit enhancement loss exposure     9,587,000   9,751,000
Maximum loss exposure without any form of credit protection     $ 6,688,564,000   5,825,412,000
Percentage of contingent payment (in percentage) 50.00%   50.00%    
Contingent liability $ 12,200,000   $ 12,200,000   $ 11,800,000