Fair Value of Financial Instruments - Fair Value of Invested Assets (Details) - USD ($)	Jun. 30, 2019	Dec. 31, 2018
Fixed maturity investments available for sale:
U.S. treasury securities	$ 15,198,840	$ 16,619,619
Corporate securities	42,276,974	40,003,723
Agency mortgage-backed securities	23,794,898	20,286,795
Short-term investments, at fair value	200,000	4,690,954
Total financial instruments at fair value	81,470,712	81,601,091
Level 1
Fixed maturity investments available for sale:
U.S. treasury securities	15,198,840	16,619,619
Corporate securities	0	0
Agency mortgage-backed securities	0	0
Short-term investments, at fair value	200,000	4,690,954
Total financial instruments at fair value	15,398,840	21,310,573
Level 2
Fixed maturity investments available for sale:
U.S. treasury securities	0	0
Corporate securities	42,276,974	40,003,723
Agency mortgage-backed securities	23,794,898	20,286,795
Short-term investments, at fair value	0	0
Total financial instruments at fair value	66,071,872	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
Total financial instruments at fair value	$ 0