Fair Value of Financial Instruments - Fair Value of Invested Assets (Details) - USD ($)	Jun. 30, 2017	Dec. 31, 2016	Jun. 30, 2016	Dec. 31, 2015
Fixed maturity investments available for sale:
U.S. treasury securities	$ 11,601,032	$ 19,103,925
Corporate securities	15,942,022	0
Agency mortgage-backed securities	11,169,070	0
Certificates of deposit	45,162,000	61,280,000
Total fixed maturities	83,874,124	80,383,925
Cash and restricted cash	13,585,909	13,496,379	$ 13,763,483	$ 8,258,673
Short-term investments, at fair value	5,092,774	10,204,603
Total financial instruments at fair value	102,552,807	104,084,907
Level 1
Fixed maturity investments available for sale:
U.S. treasury securities	11,601,032	19,103,925
Corporate securities	0	0
Agency mortgage-backed securities	0	0
Certificates of deposit	0	0
Total fixed maturities	11,601,032	19,103,925
Cash and restricted cash	13,585,909	13,496,379
Short-term investments, at fair value	4,093,049	10,204,603
Total financial instruments at fair value	29,279,990	42,804,907
Level 2
Fixed maturity investments available for sale:
U.S. treasury securities		0
Corporate securities	15,942,022	0
Agency mortgage-backed securities	11,169,070	0
Certificates of deposit	45,162,000	61,280,000
Total fixed maturities	72,273,092	61,280,000
Cash and restricted cash	0	0
Short-term investments, at fair value	999,725	0
Total financial instruments at fair value	73,272,817	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
Cash and restricted cash	0	0
Short-term investments, at fair value	0	0
Total financial instruments at fair value	$ 0	$ 0