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Consolidated Statements of Cash Flows (USD $)
In Thousands, unless otherwise specified
3 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Operating activities    
Net income $ 182us-gaap_ProfitLoss $ 133us-gaap_ProfitLoss
Adjustment to reconcile net income to net cash provided by operating activities    
Depreciation expense 224us-gaap_Depreciation 234us-gaap_Depreciation
Premium amortization on investment securities, net 60us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments 76us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments
Provision for loan losses 420us-gaap_ProvisionForLoanLeaseAndOtherLosses 359us-gaap_ProvisionForLoanLeaseAndOtherLosses
Provision for loss on other real estate owned 25mgyr_ProvisionForLossOnOtherRealEstateOwned 26mgyr_ProvisionForLossOnOtherRealEstateOwned
Proceeds from the sales of loans 3,399mgyr_ProceedsFromSalesOfLoans 219mgyr_ProceedsFromSalesOfLoans
Gains on sale of loans (233)us-gaap_GainLossOnSalesOfLoansNet (30)us-gaap_GainLossOnSalesOfLoansNet
Gains on sales of investment securities (30)us-gaap_GainOnSaleOfInvestments (36)us-gaap_GainOnSaleOfInvestments
Gains on the sales of other real estate owned (51)mgyr_LossesGainsOnSalesOfOtherRealEstateOwned   
ESOP compensation expense 27us-gaap_EmployeeStockOwnershipPlanESOPCompensationExpense 23us-gaap_EmployeeStockOwnershipPlanESOPCompensationExpense
Stock-based compensation expense 4us-gaap_ShareBasedCompensation 5us-gaap_ShareBasedCompensation
Deferred income tax expense 134us-gaap_DeferredIncomeTaxExpenseBenefit   
Decrease in accrued interest receivable 73us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet 1us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet
Increase in surrender value bank owned life insurance (78)mgyr_IncreaseInSurrenderValueBankOwnedLifeInsurance (83)mgyr_IncreaseInSurrenderValueBankOwnedLifeInsurance
Decrease in other assets 64us-gaap_IncreaseDecreaseInOtherOperatingAssets 233us-gaap_IncreaseDecreaseInOtherOperatingAssets
Increase (decrease) in accrued interest payable (3)us-gaap_IncreaseDecreaseInInterestPayableNet (1)us-gaap_IncreaseDecreaseInInterestPayableNet
Decrease in accounts payable and other liabilities (780)us-gaap_IncreaseDecreaseInOtherAccountsPayableAndAccruedLiabilities (2,151)us-gaap_IncreaseDecreaseInOtherAccountsPayableAndAccruedLiabilities
Net cash provided (used) by operating activities 3,437us-gaap_NetCashProvidedByUsedInOperatingActivities (992)us-gaap_NetCashProvidedByUsedInOperatingActivities
Investing activities    
Net increase in loans receivable (7,798)mgyr_NetIncreaseDecreaseInLoansReceivable (3,867)mgyr_NetIncreaseDecreaseInLoansReceivable
Purchases of loans receivable (674)us-gaap_PaymentsToAcquireLoansReceivable (5,514)us-gaap_PaymentsToAcquireLoansReceivable
Purchases of investment securities held to maturity    (4,419)us-gaap_PaymentsToAcquireHeldToMaturitySecurities
Sales of investment securities held to maturity    3,036us-gaap_ProceedsFromSaleOfHeldToMaturitySecurities
Sales of investment securities available for sale 2,915us-gaap_ProceedsFromSaleOfAvailableForSaleSecurities   
Principal repayments on investment securities held to maturity 1,426us-gaap_ProceedsFromSaleAndMaturityOfHeldToMaturitySecurities 1,748us-gaap_ProceedsFromSaleAndMaturityOfHeldToMaturitySecurities
Principal repayments on investment securities available for sale 225us-gaap_ProceedsFromSaleAndMaturityOfAvailableForSaleSecurities 453us-gaap_ProceedsFromSaleAndMaturityOfAvailableForSaleSecurities
Purchases of premises and equipment (61)us-gaap_PaymentsToAcquirePropertyPlantAndEquipment (9)us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
Investment in other real estate owned (232)us-gaap_PaymentsToAcquireOtherRealEstate   
Proceeds from the sale of other real estate owned 3,824us-gaap_ProceedsFromSaleOfOtherRealEstate 199us-gaap_ProceedsFromSaleOfOtherRealEstate
Purchase of Federal Home Loan Bank stock (102)us-gaap_PaymentsToAcquireFederalReserveStock (612)us-gaap_PaymentsToAcquireFederalReserveStock
Net cash used by investing activities (477)us-gaap_NetCashProvidedByUsedInInvestingActivities (8,985)us-gaap_NetCashProvidedByUsedInInvestingActivities
Financing activities    
Net decrease in deposits (2,609)us-gaap_IncreaseDecreaseInDeposits (12,664)us-gaap_IncreaseDecreaseInDeposits
Net increase (decrease) in escrowed funds 4mgyr_NetDecreaseIncreaseInEscrowedFunds (47)mgyr_NetDecreaseIncreaseInEscrowedFunds
Proceeds from long-term advances 5,701us-gaap_ProceedsFromIssuanceOfLongTermDebt 2,000us-gaap_ProceedsFromIssuanceOfLongTermDebt
Repayments of long-term advances (3,500)us-gaap_RepaymentsOfLongTermDebt (4,000)us-gaap_RepaymentsOfLongTermDebt
Net change in short-term advances 50us-gaap_ProceedsFromRepaymentsOfShortTermDebt 15,600us-gaap_ProceedsFromRepaymentsOfShortTermDebt
Repayments of securities sold under agreements to repurchase (5,000)us-gaap_RepaymentsOfMandatoryRedeemableCapitalSecurities   
Net cash (used) provided by financing activities (5,354)us-gaap_NetCashProvidedByUsedInFinancingActivities 889us-gaap_NetCashProvidedByUsedInFinancingActivities
Net decrease in cash and cash equivalents (2,394)us-gaap_CashAndCashEquivalentsPeriodIncreaseDecrease (9,088)us-gaap_CashAndCashEquivalentsPeriodIncreaseDecrease
Cash and cash equivalents, beginning of period 10,258us-gaap_CashAndCashEquivalentsAtCarryingValue 17,792us-gaap_CashAndCashEquivalentsAtCarryingValue
Cash and cash equivalents, end of period 7,864us-gaap_CashAndCashEquivalentsAtCarryingValue 8,704us-gaap_CashAndCashEquivalentsAtCarryingValue
Cash paid for    
Interest 823us-gaap_InterestPaidNet 925us-gaap_InterestPaidNet
Income taxes 14us-gaap_IncomeTaxesPaidNet 9us-gaap_IncomeTaxesPaidNet
Non-cash investing activities    
Real estate acquired in full satisfaction of loans in foreclosure $ 1,308us-gaap_FairValueOfAssetsAcquired $ 525us-gaap_FairValueOfAssetsAcquired