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Fair Value of Financial Instruments - Fair Value of Invested Assets (Details) - USD ($)
Sep. 30, 2017
Dec. 31, 2016
Fixed maturity investments available for sale:    
U.S. treasury securities $ 9,519,063 $ 19,103,925
Corporate securities 22,995,709 0
Agency mortgage-backed securities 15,928,123 0
Certificates of deposit 35,826,000 61,280,000
Total fixed maturities 84,268,895 80,383,925
Short-term investments, at fair value 13,080,515 10,204,603
Total financial instruments at fair value 97,349,410 90,588,528
Level 1    
Fixed maturity investments available for sale:    
U.S. treasury securities 9,519,063 19,103,925
Corporate securities 0 0
Agency mortgage-backed securities 0 0
Certificates of deposit 0 0
Total fixed maturities 9,519,063 19,103,925
Short-term investments, at fair value 12,080,638 10,204,603
Total financial instruments at fair value 21,599,701 29,308,528
Level 2    
Fixed maturity investments available for sale:    
U.S. treasury securities 0 0
Corporate securities 22,995,709 0
Agency mortgage-backed securities 15,928,123 0
Certificates of deposit 35,826,000 61,280,000
Total fixed maturities 74,749,832 61,280,000
Short-term investments, at fair value 999,877 0
Total financial instruments at fair value 75,749,709 61,280,000
Level 3    
Fixed maturity investments available for sale:    
U.S. treasury securities 0 0
Corporate securities 0 0
Agency mortgage-backed securities 0 0
Certificates of deposit 0 0
Total fixed maturities 0 0
Short-term investments, at fair value 0 0
Total financial instruments at fair value $ 0 $ 0