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Fair Value of Financial Instruments - Fair Value of Invested Assets (Details) - USD ($)
Sep. 30, 2016
Dec. 31, 2015
Fixed maturity investments available for sale:    
U.S. treasury securities $ 19,129,802 $ 24,034,291
Certificates of deposit 63,519,000 58,127,000
Total fixed maturities 82,648,802 82,161,291
Cash and short term investments 9,389,879 15,975,298
Total financial instruments at fair value 92,038,681 98,136,589
Level 1    
Fixed maturity investments available for sale:    
U.S. treasury securities 19,129,802 24,034,291
Certificates of deposit 0 0
Total fixed maturities 19,129,802 24,034,291
Cash and short term investments 9,389,879 15,975,298
Total financial instruments at fair value 28,519,681 40,009,589
Level 2    
Fixed maturity investments available for sale:    
U.S. treasury securities 0 0
Certificates of deposit 63,519,000 58,127,000
Total fixed maturities 63,519,000 58,127,000
Cash and short term investments 0 0
Total financial instruments at fair value 63,519,000 58,127,000
Level 3    
Fixed maturity investments available for sale:    
U.S. treasury securities 0 0
Certificates of deposit 0 0
Total fixed maturities 0 0
Cash and short term investments 0 0
Total financial instruments at fair value $ 0 $ 0