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Shareholders' Equity (Details) - USD ($)
1 Months Ended 3 Months Ended 12 Months Ended
Dec. 31, 2020
Sep. 30, 2020
Dec. 31, 2019
Sep. 30, 2020
Dec. 31, 2020
Dec. 31, 2019
Sep. 30, 2018
Stock Repurchase Program [Abstract]              
Stock repurchase program, additional amount authorized   $ 1,500,000          
Stock repurchase program authorized amount             $ 20,000,000
Stock repurchased during period (in shares)         112,907    
Amount paid to repurchase shares during the year         $ 3,313,154 $ 909,368  
Amount of common stock repurchased $ 18,086,249       $ 18,086,249    
Number of common stock acquired (in shares) 1,282,265       1,282,265    
Earnings Per Share [Abstract]              
Basic weighted average shares outstanding (in shares)         3,233,773 3,285,813  
Weighted average dilutive options outstanding (in shares)         0 0  
Diluted weighted average shares outstanding (in shares)         3,233,773 3,285,813  
Statutory Restrictions [Abstract]              
Minimum statutory surplus required to maintain $ 2,500,000       $ 2,500,000    
Period from declaration of ordinary dividend requires notification to insurance commissioner         5 days    
Minimum period prior to payment of dividend requires notification to insurance commissioner         10 days    
Percentage of statutory capital and surplus 10.00%       10.00%    
Ordinary dividends paid         $ 4,000,000 $ 6,000,000  
Period for which no extraordinary dividends paid           2 years  
Outside Directors [Member]              
Share-based Compensation [Abstract]              
Annual retainer fee paid to director         5,000    
Per meeting fee paid to director         $ 2,500    
Number of shares issued (in shares) 3,977   3,024        
Stock issued during period (in dollars per share) $ 27.00   $ 35.50   $ 27.00 $ 35.50  
Cost of shares issued         $ 107,379 $ 107,352  
Management and Employees [Member]              
Share-based Compensation [Abstract]              
Number of shares issued (in shares)         6,664 8,188  
Cost of shares issued         $ 218,289 $ 246,535  
Cumberland Lake Shell, Inc [Member]              
Stock Repurchase Program [Abstract]              
Stock repurchased during period (in shares)       88,341      
Amount paid to repurchase shares during the year       $ 2,561,889      
Stock purchase price (in dollars per share)       $ 29