Fair Value of Financial Instruments - Fair Value of Invested Assets (Details) - USD ($)	Sep. 30, 2018	Dec. 31, 2017
Fixed maturity investments available for sale:
U.S. treasury securities	$ 13,994,039	$ 7,454,225
Corporate securities	37,092,021	28,657,640
Agency mortgage-backed securities	21,770,047	21,737,589
Short-term investments, at fair value	200,000	1,847,778
Total financial instruments at fair value	73,056,107	59,697,232
Level 1
Fixed maturity investments available for sale:
U.S. treasury securities	13,994,039	7,454,225
Corporate securities	0	0
Agency mortgage-backed securities	0	0
Short-term investments, at fair value	200,000	1,847,778
Total financial instruments at fair value	14,194,039	9,302,003
Level 2
Fixed maturity investments available for sale:
U.S. treasury securities	0	0
Corporate securities	37,092,021	28,657,640
Agency mortgage-backed securities	21,770,047	21,737,589
Short-term investments, at fair value	0	0
Total financial instruments at fair value	58,862,068	50,395,229
Level 3
Fixed maturity investments available for sale:
U.S. treasury securities	0	0
Corporate securities	0	0
Agency mortgage-backed securities	0	0
Short-term investments, at fair value	0	0
Total financial instruments at fair value	$ 0	$ 0