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Condensed Consolidated Statements of Cash Flows (USD $)
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Cash flows provided by operating activities:    
Net income $ 5,328,419us-gaap_NetIncomeLoss $ 2,012,318us-gaap_NetIncomeLoss
Adjustments to reconcile net income to net cash flows provided by operating activities:    
Net realized gains on sale of investments (707,027)us-gaap_GainLossOnSaleOfInvestments (575,792)us-gaap_GainLossOnSaleOfInvestments
Depreciation and amortization 874,907us-gaap_DepreciationAndAmortization 646,483us-gaap_DepreciationAndAmortization
Amortization of bond premium, net 260,996us-gaap_AmortizationOfDebtDiscountPremium 203,851us-gaap_AmortizationOfDebtDiscountPremium
Stock-based compensation 171,876us-gaap_ShareBasedCompensation 59,959us-gaap_ShareBasedCompensation
Excess tax benefit from exercise of stock options (136,971)KINS_ExcessTaxBenefitFromExerciseOfStockOptions   
Deferred income tax expense 113,823us-gaap_DeferredIncomeTaxExpenseBenefit (724,053)us-gaap_DeferredIncomeTaxExpenseBenefit
Increase (decrease) in operating liabilities:    
Premiums receivable, net (1,356,825)us-gaap_IncreaseDecreaseInPremiumsReceivable 176,751us-gaap_IncreaseDecreaseInPremiumsReceivable
Receivables - reinsurance contracts (326,560)KINS_ReceivablesReinsuranceContract (974,989)KINS_ReceivablesReinsuranceContract
Reinsurance receivables, net 1,985,549us-gaap_IncreaseDecreaseInReinsuranceRecoverable 1,341,957us-gaap_IncreaseDecreaseInReinsuranceRecoverable
Deferred policy acquisition costs (2,125,718)us-gaap_IncreaseDecreaseInDeferredPolicyAcquisitionCosts (1,290,385)us-gaap_IncreaseDecreaseInDeferredPolicyAcquisitionCosts
Other assets 273,481us-gaap_IncreaseDecreaseInOtherOperatingAssets 358,414us-gaap_IncreaseDecreaseInOtherOperatingAssets
(Decrease) increase in operating liabilities:    
Loss and loss adjustment expense reserves 5,409,454us-gaap_IncreaseDecreaseInFuturePolicyBenefitReserves 4,017,697us-gaap_IncreaseDecreaseInFuturePolicyBenefitReserves
Unearned premiums 8,122,427us-gaap_IncreaseDecreaseInUnearnedPremiums 6,323,251us-gaap_IncreaseDecreaseInUnearnedPremiums
Advance premiums 230,483KINS_IncreseDecreseInAdvancePremiums 165,227KINS_IncreseDecreseInAdvancePremiums
Reinsurance balances payable (470,366)us-gaap_IncreaseDecreaseInReinsurancePayables 746,202us-gaap_IncreaseDecreaseInReinsurancePayables
Advance payments from catastrophe reinsurers    (7,358,391)KINS_AdvancePaymentsFromCatastropheReinsurersInCashFlow
Deferred ceding commission revenue (1,027,626)us-gaap_IncreaseDecreaseInDeferredRevenue 2,107,136us-gaap_IncreaseDecreaseInDeferredRevenue
Accounts payable, accrued expenses and other liabilities 712,650us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities 147,901us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities
Net cash flows provided by operating activities 17,332,972us-gaap_NetCashProvidedByUsedInOperatingActivities 7,383,537us-gaap_NetCashProvidedByUsedInOperatingActivities
Cash flows used in investing activities:    
Purchase - fixed-maturity securities held-to-maturity (2,715,540)KINS_PurchaseFixedmaturitySecuritiesHeldtomaturity (1,791,702)KINS_PurchaseFixedmaturitySecuritiesHeldtomaturity
Purchase - fixed-maturity securities available-for-sale (28,826,537)us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt (9,124,949)us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt
Purchase - equity securities available-for-sale (8,520,581)us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesEquity (6,073,138)us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesEquity
Sale or maturity - fixed-maturity securities available-for-sale 6,823,015us-gaap_ProceedsFromSaleAndMaturityOfHeldToMaturitySecurities 5,850,770us-gaap_ProceedsFromSaleAndMaturityOfHeldToMaturitySecurities
Sale - equity securities available-for-sale 7,970,324us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesEquity 4,868,193us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesEquity
Recovery of loss from failed bank 51,587KINS_ProceedsRecoveryOfLossFromFailedBank   
Other investing activities (780,945)us-gaap_PaymentsForProceedsFromOtherInvestingActivities (307,045)us-gaap_PaymentsForProceedsFromOtherInvestingActivities
Net cash flows used in investing activities (25,998,677)us-gaap_NetCashProvidedByUsedInInvestingActivities (6,577,871)us-gaap_NetCashProvidedByUsedInInvestingActivities
Cash flows (used in) provided by financing activities:    
Net proceeds from issuance of common stock    18,804,379us-gaap_ProceedsFromIssuanceOfCommonStock
Proceeds from line of credit    310,000us-gaap_ProceedsFromLinesOfCredit
Principal payments on line of credit    (760,000)KINS_PrincipalPaymentsOnLineOfCredit
Principal payments on notes payable (includes $378,000 to related parties)    (747,000)us-gaap_RepaymentsOfLongTermDebt
Proceeds from exercise of stock options 5,877us-gaap_ProceedsFromStockOptionsExercised 11,750us-gaap_ProceedsFromStockOptionsExercised
Withholding taxes paid on net exercise of stock options (133,418)KINS_WithholdingTaxesPaidOnNetExerciseOfStockOptions   
Excess tax benefit from exercise of stock options 136,971us-gaap_ProceedsAndExcessTaxBenefitFromSharebasedCompensation   
Purchase of treasury stock (46,728)KINS_PurchaseOfTreasuryStock (129,900)KINS_PurchaseOfTreasuryStock
Dividends paid (1,312,625)us-gaap_PaymentsOfDividends (612,401)us-gaap_PaymentsOfDividends
Net cash flows (used in) provided by financing activities (1,349,923)us-gaap_NetCashProvidedByUsedInFinancingActivities 16,876,828us-gaap_NetCashProvidedByUsedInFinancingActivities
(Decrease) increase in cash and cash equivalents (10,015,628)us-gaap_CashAndCashEquivalentsPeriodIncreaseDecrease 17,682,494us-gaap_CashAndCashEquivalentsPeriodIncreaseDecrease
Cash and cash equivalents, beginning of period 19,922,506us-gaap_CashAndCashEquivalentsAtCarryingValue 2,240,012us-gaap_CashAndCashEquivalentsAtCarryingValue
Cash and cash equivalents, end of period 9,906,878us-gaap_CashAndCashEquivalentsAtCarryingValue 19,922,506us-gaap_CashAndCashEquivalentsAtCarryingValue
Supplemental disclosures of cash flow information:    
Cash paid for income taxes 2,555,400us-gaap_IncomeTaxesPaid 2,174,000us-gaap_IncomeTaxesPaid
Cash paid for interest    108,839us-gaap_InterestPaid
Supplemental schedule of non-cash investing and financing activities:    
Value of shares deducted from exercise of stock options for payment of withholding taxes $ 133,418KINS_SharesDeductedFromExerciseOfStockOptionsForPaymentOfWithholdingTaxes