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Consolidated Statements of Cash Flows (USD $)
In Thousands, unless otherwise specified
6 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Operating activities    
Net income $ 329us-gaap_ProfitLoss $ 193us-gaap_ProfitLoss
Adjustment to reconcile net income to net cash provided by operating activities    
Depreciation expense 446us-gaap_Depreciation 464us-gaap_Depreciation
Premium amortization on investment securities, net 146us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments 153us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments
Provision for loan losses 590us-gaap_ProvisionForLoanLeaseAndOtherLosses 740us-gaap_ProvisionForLoanLeaseAndOtherLosses
Provision for loss on other real estate owned 25mgyr_ProvisionForLossOnOtherRealEstateOwned 167mgyr_ProvisionForLossOnOtherRealEstateOwned
Proceeds from the sales of loans 4,441mgyr_ProceedsFromSalesOfLoans 2,509mgyr_ProceedsFromSalesOfLoans
Gains on sale of loans (326)us-gaap_GainLossOnSalesOfLoansNet (102)us-gaap_GainLossOnSalesOfLoansNet
Gains on sales of investment securities (42)us-gaap_GainOnSaleOfInvestments (36)us-gaap_GainOnSaleOfInvestments
(Gains) losses on the sales of other real estate owned (43)mgyr_LossesGainsOnSalesOfOtherRealEstateOwned 11mgyr_LossesGainsOnSalesOfOtherRealEstateOwned
ESOP compensation expense 53us-gaap_EmployeeStockOwnershipPlanESOPCompensationExpense 48us-gaap_EmployeeStockOwnershipPlanESOPCompensationExpense
Stock-based compensation expense 9us-gaap_ShareBasedCompensation 9us-gaap_ShareBasedCompensation
Deferred income tax expense (benefit) 195us-gaap_DeferredIncomeTaxExpenseBenefit (34)us-gaap_DeferredIncomeTaxExpenseBenefit
(Increase) decrease in accrued interest receivable (26)us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet 15us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet
Increase in surrender value bank owned life insurance (153)mgyr_IncreaseInSurrenderValueBankOwnedLifeInsurance (165)mgyr_IncreaseInSurrenderValueBankOwnedLifeInsurance
Increase in other assets (80)us-gaap_IncreaseDecreaseInOtherOperatingAssets (334)us-gaap_IncreaseDecreaseInOtherOperatingAssets
Decrease in accrued interest payable (36)us-gaap_IncreaseDecreaseInInterestPayableNet (9)us-gaap_IncreaseDecreaseInInterestPayableNet
Decrease in accounts payable and other liabilities (757)us-gaap_IncreaseDecreaseInOtherAccountsPayableAndAccruedLiabilities (2,210)us-gaap_IncreaseDecreaseInOtherAccountsPayableAndAccruedLiabilities
Net cash provided by operating activities 4,771us-gaap_NetCashProvidedByUsedInOperatingActivities 1,419us-gaap_NetCashProvidedByUsedInOperatingActivities
Investing activities    
Net increase in loans receivable (11,198)mgyr_NetIncreaseDecreaseInLoansReceivable (7,365)mgyr_NetIncreaseDecreaseInLoansReceivable
Purchases of loans receivable (674)us-gaap_PaymentsToAcquireLoansReceivable (5,514)us-gaap_PaymentsToAcquireLoansReceivable
Purchases of investment securities held to maturity (4,132)us-gaap_PaymentsToAcquireHeldToMaturitySecurities (4,419)us-gaap_PaymentsToAcquireHeldToMaturitySecurities
Sales of investment securities held to maturity    3,036us-gaap_ProceedsFromSaleOfHeldToMaturitySecurities
Sales of investment securities available for sale 5,421us-gaap_ProceedsFromSaleOfAvailableForSaleSecurities   
Principal repayments on investment securities held to maturity 2,467us-gaap_ProceedsFromSaleAndMaturityOfHeldToMaturitySecurities 2,864us-gaap_ProceedsFromSaleAndMaturityOfHeldToMaturitySecurities
Principal repayments on investment securities available for sale 453us-gaap_ProceedsFromSaleAndMaturityOfAvailableForSaleSecurities 4,625us-gaap_ProceedsFromSaleAndMaturityOfAvailableForSaleSecurities
Purchases of premises and equipment (65)us-gaap_PaymentsToAcquirePropertyPlantAndEquipment (25)us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
Investment in other real estate owned (283)us-gaap_PaymentsToAcquireOtherRealEstate (4)us-gaap_PaymentsToAcquireOtherRealEstate
Proceeds from the sale of other real estate owned 4,778us-gaap_ProceedsFromSaleOfOtherRealEstate 312us-gaap_ProceedsFromSaleOfOtherRealEstate
Purchase of Federal Home Loan Bank stock (32)us-gaap_PaymentsToAcquireFederalReserveStock (85)us-gaap_PaymentsToAcquireFederalReserveStock
Net cash used by investing activities (3,265)us-gaap_NetCashProvidedByUsedInInvestingActivities (6,575)us-gaap_NetCashProvidedByUsedInInvestingActivities
Financing activities    
Net increase (decrease) in deposits 14,457us-gaap_IncreaseDecreaseInDeposits (1,181)us-gaap_IncreaseDecreaseInDeposits
Net increase in escrowed funds 106mgyr_NetDecreaseIncreaseInEscrowedFunds 114mgyr_NetDecreaseIncreaseInEscrowedFunds
Proceeds from long-term advances 5,701us-gaap_ProceedsFromIssuanceOfLongTermDebt 7,100us-gaap_ProceedsFromIssuanceOfLongTermDebt
Repayments of long-term advances (5,000)us-gaap_RepaymentsOfLongTermDebt (5,200)us-gaap_RepaymentsOfLongTermDebt
Repayments of securities sold under agreements to repurchase (5,000)us-gaap_RepaymentsOfMandatoryRedeemableCapitalSecurities   
Net cash provided by financing activities 10,264us-gaap_NetCashProvidedByUsedInFinancingActivities 833us-gaap_NetCashProvidedByUsedInFinancingActivities
Net increase (decrease) in cash and cash equivalents 11,770us-gaap_CashAndCashEquivalentsPeriodIncreaseDecrease (4,323)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 22,028us-gaap_CashAndCashEquivalentsAtCarryingValue 13,469us-gaap_CashAndCashEquivalentsAtCarryingValue
Cash paid for    
Interest 1,615us-gaap_InterestPaidNet 1,798us-gaap_InterestPaidNet
Income taxes 14us-gaap_IncomeTaxesPaidNet 9us-gaap_IncomeTaxesPaidNet
Non-cash investing activities    
Real estate acquired in full satisfaction of loans in foreclosure $ 2,666us-gaap_FairValueOfAssetsAcquired $ 1,325us-gaap_FairValueOfAssetsAcquired