Fair Value of Financial Instruments - Fair Value of Invested Assets (Details) - USD ($)	Mar. 31, 2019	Dec. 31, 2018
Fixed maturity investments available for sale:
U.S. treasury securities	$ 16,722,377	$ 16,619,619
Corporate securities	41,970,507	40,003,723
Agency mortgage-backed securities	21,997,122	20,286,795
Short-term investments, at fair value	696,792	4,690,954
Total financial instruments at fair value	81,386,798	81,601,091
Level 1
Fixed maturity investments available for sale:
U.S. treasury securities	16,722,377	16,619,619
Corporate securities	0	0
Agency mortgage-backed securities	0	0
Short-term investments, at fair value	696,792	4,690,954
Total financial instruments at fair value	17,419,169	21,310,573
Level 2
Fixed maturity investments available for sale:
U.S. treasury securities	0	0
Corporate securities	41,970,507	40,003,723
Agency mortgage-backed securities	21,997,122	20,286,795
Short-term investments, at fair value	0	0
Total financial instruments at fair value	63,967,629	60,290,518
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