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Fair Vaule of Financial Instruments - Fair Value of Invested Assets (Details) - USD ($)
Dec. 31, 2018
Dec. 31, 2017
U.S. treasury securities $ 16,619,619 $ 7,454,225
Corporate securities 40,003,723 28,657,640
Agency mortgage-backed securities 20,286,795 21,737,589
Short-term investments 4,690,954 1,847,778
Total financial instruments 81,601,091 59,697,232
Level 1    
U.S. treasury securities 16,619,619 7,454,225
Corporate securities 0 0
Agency mortgage-backed securities 0 0
Short-term investments 4,690,954 1,847,778
Total financial instruments 21,310,573 9,302,003
Level 2    
U.S. treasury securities 0 0
Corporate securities 40,003,723 28,657,640
Agency mortgage-backed securities 20,286,795 21,737,589
Short-term investments 0 0
Total financial instruments 60,290,518 50,395,229
Level 3    
U.S. treasury securities 0 0
Corporate securities 0 0
Agency mortgage-backed securities 0 0
Short-term investments 0 0
Total financial instruments $ 0 $ 0