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Fair Value of Financial Instruments - Carrying Value and Estimated Fair Value of Financial Instruments (Detail) - USD ($)
Jun. 30, 2018
Dec. 31, 2017
Financial assets    
Cash and due from banks $ 12,641,231 $ 17,962,990
Interest bearing deposits with banks 1,293,179 1,532,420
Securities available-for-sale 463,752,185 505,046,377
Net loans 413,544,127 401,706,081
Financial liabilities    
Deposits 764,674,148 720,821,564
Federal Funds Purchase 12,500,000 1,500,000
Federal Home Loan Bank advances 20,000,000 30,005,541
Securities Sold under Agreement to Repurchase 74,124,947 142,497,938
Quoted Prices in Active Markets for Identical Assets (Level 1) [Member]    
Financial assets    
Cash and due from banks 12,641,231 17,962,990
Interest bearing deposits with banks 1,293,179 1,532,420
Financial liabilities    
Deposits   543,123,284
Federal Funds Purchase 12,500,000  
Securities Sold under Agreement to Repurchase   142,497,938
Significant Other Observable Inputs (Level 2) [Member]    
Financial assets    
Securities available-for-sale 463,752,185 501,972,150
Financial liabilities    
Deposits 764,674,148  
Federal Home Loan Bank advances 20,000,000  
Securities Sold under Agreement to Repurchase 74,124,947  
Significant Unobservable Inputs (Level 3) [Member]    
Financial assets    
Securities available-for-sale   3,074,227
Net loans 413,544,127 401,706,081
Financial liabilities    
Deposits   177,698,280
Federal Home Loan Bank advances   30,005,541
Carrying Value [Member]    
Financial assets    
Cash and due from banks 12,641,231 17,962,990
Interest bearing deposits with banks 1,293,179 1,532,420
Securities available-for-sale 463,752,185 505,046,377
Net loans 417,589,558 402,390,574
Financial liabilities    
Deposits 764,610,980 720,685,499
Federal Funds Purchase 12,500,000  
Federal Home Loan Bank advances 20,000,000 30,000,000
Securities Sold under Agreement to Repurchase $ 74,124,947 $ 142,497,938