Fair Value of Financial Instruments - Fair Value of Invested Assets (Details) - USD ($)	Mar. 31, 2017	Dec. 31, 2016	Mar. 31, 2016	Dec. 31, 2015
Fixed maturity investments available for sale:
U.S. treasury securities	$ 14,098,425	$ 19,103,925
Certificates of deposit	54,142,000	61,280,000
Total fixed maturities	68,240,425	80,383,925
Cash and restricted cash	13,602,118	13,496,379	$ 13,706,518	$ 8,258,673
Short-term investments, at fair value	21,802,697	10,204,603
Total financial instruments at fair value	103,645,240	104,084,907
Level 1
Fixed maturity investments available for sale:
U.S. treasury securities	14,098,425	19,103,925
Certificates of deposit	0	0
Total fixed maturities	14,098,425	19,103,925
Cash and restricted cash	13,602,118	13,496,379
Short-term investments, at fair value	21,802,697	10,204,603
Total financial instruments at fair value	49,503,240	42,804,907
Level 2
Fixed maturity investments available for sale:
U.S. treasury securities	0	0
Certificates of deposit	54,142,000	61,280,000
Total fixed maturities	54,142,000	61,280,000
Cash and restricted cash	0	0
Short-term investments, at fair value	0	0
Total financial instruments at fair value	54,142,000	61,280,000
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 restricted cash	0	0
Short-term investments, at fair value	0	0
Total financial instruments at fair value	$ 0	$ 0