Consolidated Statements of Operations (USD $) In Thousands, except Per Share data, unless otherwise specified	3 Months Ended	6 Months Ended
Mar. 31, 2015	Mar. 31, 2014	Mar. 31, 2015	Mar. 31, 2014
Interest and dividend income
Loans, including fees	$ 4,432	$ 4,438	$ 8,883	$ 8,977
Investment securities
Taxable	331us-gaap_InterestIncomeSecuritiesTaxable	343us-gaap_InterestIncomeSecuritiesTaxable	661us-gaap_InterestIncomeSecuritiesTaxable	756us-gaap_InterestIncomeSecuritiesTaxable
Federal Home Loan Bank of New York stock	20mgyr_FederalHomeLoanBankOfNewYorkStock	28mgyr_FederalHomeLoanBankOfNewYorkStock	44mgyr_FederalHomeLoanBankOfNewYorkStock	49mgyr_FederalHomeLoanBankOfNewYorkStock
Total interest and dividend income	4,783	4,809	9,588	9,782
Interest expense
Deposits	596us-gaap_InterestExpenseDeposits	615us-gaap_InterestExpenseDeposits	1,198us-gaap_InterestExpenseDeposits	1,260us-gaap_InterestExpenseDeposits
Borrowings	170us-gaap_InterestExpenseBorrowings	248us-gaap_InterestExpenseBorrowings	381us-gaap_InterestExpenseBorrowings	529us-gaap_InterestExpenseBorrowings
Total interest expense	766us-gaap_InterestExpense	863us-gaap_InterestExpense	1,579us-gaap_InterestExpense	1,789us-gaap_InterestExpense
Net interest and dividend income	4,017us-gaap_InterestIncomeExpenseNet	3,946us-gaap_InterestIncomeExpenseNet	8,009us-gaap_InterestIncomeExpenseNet	7,993us-gaap_InterestIncomeExpenseNet
Provision for loan losses	170us-gaap_ProvisionForLoanAndLeaseLosses	381us-gaap_ProvisionForLoanAndLeaseLosses	590us-gaap_ProvisionForLoanAndLeaseLosses	740us-gaap_ProvisionForLoanAndLeaseLosses
Net interest and dividend income after provision for loan losses	3,847	3,565	7,419	7,253
Other income
Service charges	240us-gaap_RevenueOtherFinancialServices	182us-gaap_RevenueOtherFinancialServices	440us-gaap_RevenueOtherFinancialServices	387us-gaap_RevenueOtherFinancialServices
Income on bank owned life insurance	76us-gaap_BankOwnedLifeInsuranceIncome	83us-gaap_BankOwnedLifeInsuranceIncome	153us-gaap_BankOwnedLifeInsuranceIncome	165us-gaap_BankOwnedLifeInsuranceIncome
Other operating income	32us-gaap_OtherOperatingIncome	32us-gaap_OtherOperatingIncome	55us-gaap_OtherOperatingIncome	47us-gaap_OtherOperatingIncome
Gains on sales of loans	93us-gaap_GainLossOnSaleOfLoansAndLeases	73us-gaap_GainLossOnSaleOfLoansAndLeases	326us-gaap_GainLossOnSaleOfLoansAndLeases	102us-gaap_GainLossOnSaleOfLoansAndLeases
Gains on sales of investment securities	12us-gaap_GainLossOnSaleOfSecuritiesNet		42us-gaap_GainLossOnSaleOfSecuritiesNet	36us-gaap_GainLossOnSaleOfSecuritiesNet
Total other income	453us-gaap_OtherIncome	370us-gaap_OtherIncome	1,016us-gaap_OtherIncome	737us-gaap_OtherIncome
Other expenses
Compensation and employee benefits	2,057us-gaap_LaborAndRelatedExpense	1,940us-gaap_LaborAndRelatedExpense	4,060us-gaap_LaborAndRelatedExpense	3,874us-gaap_LaborAndRelatedExpense
Occupancy expenses	733us-gaap_OccupancyNet	732us-gaap_OccupancyNet	1,436us-gaap_OccupancyNet	1,451us-gaap_OccupancyNet
Professional fees	260us-gaap_ProfessionalFees	233us-gaap_ProfessionalFees	553us-gaap_ProfessionalFees	500us-gaap_ProfessionalFees
Data processing expenses	148	144	293	287
OREO expenses	130us-gaap_LoanPortfolioExpense	174us-gaap_LoanPortfolioExpense	241us-gaap_LoanPortfolioExpense	360us-gaap_LoanPortfolioExpense
FDIC deposit insurance premiums	178	181	358	362
Loan servicing expenses	79mgyr_ServiceFees	118mgyr_ServiceFees	157mgyr_ServiceFees	253mgyr_ServiceFees
Insurance expense	56us-gaap_GeneralInsuranceExpense	56us-gaap_GeneralInsuranceExpense	114us-gaap_GeneralInsuranceExpense	114us-gaap_GeneralInsuranceExpense
Other expenses	460us-gaap_OtherNoninterestExpense	304us-gaap_OtherNoninterestExpense	770us-gaap_OtherNoninterestExpense	567us-gaap_OtherNoninterestExpense
Total other expenses	4,101us-gaap_OtherExpenses	3,882us-gaap_OtherExpenses	7,982us-gaap_OtherExpenses	7,768us-gaap_OtherExpenses
Income before income tax expense (benefit)	199	53	453	222
Income tax expense (benefit)	52us-gaap_IncomeTaxExpenseBenefit	(10)us-gaap_IncomeTaxExpenseBenefit	124us-gaap_IncomeTaxExpenseBenefit	29us-gaap_IncomeTaxExpenseBenefit
Net income	$ 147us-gaap_ProfitLoss	$ 63us-gaap_ProfitLoss	$ 329us-gaap_ProfitLoss	$ 193us-gaap_ProfitLoss
Net income per share-basic and diluted	$ 0.03us-gaap_EarningsPerShareBasicAndDiluted	$ 0.01us-gaap_EarningsPerShareBasicAndDiluted	$ 0.06us-gaap_EarningsPerShareBasicAndDiluted	$ 0.03us-gaap_EarningsPerShareBasicAndDiluted

Dividend income from federal home loan bank investment.

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The aggregate interest and fee income generated by: (1) loans the Entity has positive intent and ability to hold for the foreseeable future, or until maturity or payoff, including commercial and consumer loans, whether domestic or foreign, which may consist of: (a) industrial and agricultural; (b) real estate; and (c) real estate construction loans; (d) trade financing; (e) lease financing; (f) home equity lines-of-credit; (g) automobile and other vehicle loans; and (h) credit card and other revolving-type loans and (2) loans and leases held-for-sale which may include mortgage loans, direct financing, and sales-type leases.

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Amount of net occupancy expense that may include items, such as depreciation of facilities and equipment, lease expenses, property taxes and property and casualty insurance expense.

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