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Allowance for Loan Losses - Loans by Credit Quality Indicator (Detail) (USD $)
Sep. 30, 2013
Dec. 31, 2012
Sep. 30, 2012
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality $ 181,545,636 $ 176,687,329 $ 186,884,417
Guaranteed portion of loans 45,276,337 43,118,330  
Financing Receivable, Aggregate Rate 100.00% 100.00%  
Construction and Land Development [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality 4,941,654 4,873,512 5,585,372
Guaranteed portion of loans 16,268     
Residential, 1-4 Families [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality 38,040,049 36,091,051 36,853,785
Guaranteed portion of loans 707,922 752,677  
Nonfarm, Nonresidential [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality 61,366,016 48,993,867 48,853,854
Guaranteed portion of loans 27,167,833 19,855,775  
Loans-Commercial and Industrial [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality 67,225,422 75,914,072 84,317,344
Guaranteed portion of loans 16,885,330 22,001,515  
Consumer [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality 6,071,806 6,703,363 7,090,254
Guaranteed portion of loans        
Other [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality 3,900,689 4,111,464 4,183,808
Guaranteed portion of loans 498,984 508,363  
Pass Credits [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality 177,592,976 173,533,614  
Guaranteed portion of loans 43,447,050 42,270,235  
Financing Receivable, Aggregate Rate 97.80% 98.20%  
Pass Credits [Member] | Construction and Land Development [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality 4,870,644 4,786,945  
Guaranteed portion of loans 16,268     
Pass Credits [Member] | Residential, 1-4 Families [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality 37,732,683 35,755,061  
Guaranteed portion of loans 662,783 752,677  
Pass Credits [Member] | Nonfarm, Nonresidential [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality 59,047,105 47,500,758  
Guaranteed portion of loans 26,250,602 19,654,773  
Pass Credits [Member] | Loans-Commercial and Industrial [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality 65,970,308 74,878,901  
Guaranteed portion of loans 16,018,413 21,354,422  
Pass Credits [Member] | Consumer [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality 6,071,547 6,696,475  
Guaranteed portion of loans        
Pass Credits [Member] | Other [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality 3,900,689 3,915,474  
Guaranteed portion of loans 498,984 508,363  
Special Mention [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality 3,775,383 2,890,881  
Guaranteed portion of loans 1,766,721 848,095  
Financing Receivable, Aggregate Rate 2.10% 1.60%  
Special Mention [Member] | Construction and Land Development [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality 71,010 86,567  
Guaranteed portion of loans       
Special Mention [Member] | Residential, 1-4 Families [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality 307,366 335,990  
Guaranteed portion of loans 45,139    
Special Mention [Member] | Nonfarm, Nonresidential [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality 2,141,634 1,230,275  
Guaranteed portion of loans 854,665 201,002  
Special Mention [Member] | Loans-Commercial and Industrial [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality 1,255,114 1,035,171  
Guaranteed portion of loans 866,917 647,093  
Special Mention [Member] | Consumer [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality 259 6,888  
Guaranteed portion of loans        
Special Mention [Member] | Other [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality    195,990  
Substandard [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality 177,277 262,834  
Guaranteed portion of loans 62,566    
Financing Receivable, Aggregate Rate 0.10% 0.20%  
Substandard [Member] | Construction and Land Development [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality        
Guaranteed portion of loans       
Substandard [Member] | Residential, 1-4 Families [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality        
Substandard [Member] | Nonfarm, Nonresidential [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality 177,277 262,834  
Guaranteed portion of loans 62,566    
Substandard [Member] | Loans-Commercial and Industrial [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality        
Substandard [Member] | Consumer [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality        
Guaranteed portion of loans        
Substandard [Member] | Other [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality        
Doubtful [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality        
Financing Receivable, Aggregate Rate        
Doubtful [Member] | Construction and Land Development [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality        
Guaranteed portion of loans       
Doubtful [Member] | Residential, 1-4 Families [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality        
Doubtful [Member] | Nonfarm, Nonresidential [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality        
Doubtful [Member] | Loans-Commercial and Industrial [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality        
Doubtful [Member] | Consumer [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality        
Guaranteed portion of loans        
Doubtful [Member] | Other [Member]
     
Financing Receivable, Recorded Investment [Line Items]      
Loans, Gross carrying value / Loans by credit quality