Fair Vaule of Financial Instruments - Fair Value of Invested Assets (Details) - USD ($)	Dec. 31, 2017	Dec. 31, 2016
U.S. treasury securities	$ 7,454,225	$ 19,103,925
Corporate securities	28,657,640
Agency mortgage-backed securities	21,737,589
Certificates of deposit	28,098,000	61,280,000
Total fixed maturities	85,947,454	80,383,925
Cash and restricted cash	774,226	13,496,379
Short-term investments	10,440,496	10,204,603
Total financial instruments	97,162,176	104,084,907
Level 1
U.S. treasury securities	7,454,225	19,103,925
Corporate securities	0
Agency mortgage-backed securities	0
Certificates of deposit	0	0
Total fixed maturities	7,454,225	19,103,925
Cash and restricted cash	774,226	13,496,379
Short-term investments	10,440,496	10,204,603
Total financial instruments	18,668,947	42,804,907
Level 2
U.S. treasury securities	0	0
Corporate securities	28,657,640
Agency mortgage-backed securities	21,737,589
Certificates of deposit	28,098,000	61,280,000
Total fixed maturities	78,493,229	61,280,000
Cash and restricted cash	0	0
Short-term investments	0	0
Total financial instruments	78,493,229	61,280,000
Level 3
U.S. treasury securities	0	0
Corporate securities	0
Agency mortgage-backed securities	0
Certificates of deposit	0	0
Total fixed maturities	0	0
Cash and restricted cash	0	0
Short-term investments	0	0
Total financial instruments	$ 0	$ 0