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Fair Vaule of Financial Instruments - Fair Value of Invested Assets (Details) - USD ($)
Dec. 31, 2015
Dec. 31, 2014
U.S. treasury securities $ 24,034,291 $ 20,069,556
Certificates of deposit 58,127,000 15,089,000
Total fixed maturities 82,161,291 35,158,556
Cash and short-term investments 15,975,298 72,568,570
Total financial instruments 98,136,589 107,727,126
Level 1    
U.S. treasury securities 24,034,291 20,069,556
Certificates of deposit 0 0
Total fixed maturities 24,034,291 20,069,556
Cash and short-term investments 15,975,298 72,568,570
Total financial instruments 40,009,589 92,638,126
Level 2    
U.S. treasury securities 0 0
Certificates of deposit 58,127,000 15,089,000
Total fixed maturities 58,127,000 15,089,000
Cash and short-term investments 0 0
Total financial instruments 58,127,000 15,089,000
Level 3    
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 $ 0 $ 0