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IMPAIRMENT OF INVESTMENT SECURITIES (Schedule of Gross Unrealized Losses and Fair Value for Both Available For Sale and Held To Maturity Securities) (Details) (USD $) In Thousands, unless otherwise specified	6 Months Ended	12 Months Ended
	Mar. 31, 2015 N	Sep. 30, 2014 N
Available For Sale and Held To Maturity Securities
Number of Securities	19mgyr_AvailableForSaleAndHeldToMaturitySecuritiesInUnrealizedLossPositionsQualitativeDisclosureNumberOfPositions	29mgyr_AvailableForSaleAndHeldToMaturitySecuritiesInUnrealizedLossPositionsQualitativeDisclosureNumberOfPositions
Less Than 12 Months, Fair Value	$ 4,088mgyr_AvailableForSaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionLessThanTwelveMonthsFairValue	$ 12,134mgyr_AvailableForSaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionLessThanTwelveMonthsFairValue
Less Than 12 Months, Unrealized Losses	(39)mgyr_AvailableforsaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionLessThan12MonthsAggregateLosses2	(81)mgyr_AvailableforsaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionLessThan12MonthsAggregateLosses2
12 Months or Longer, Fair Value	19,208mgyr_AvailableForSaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionTwelveMonthsOrLongerFairValue	27,167mgyr_AvailableForSaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionTwelveMonthsOrLongerFairValue
12 Months or Longer, Unrealized Losses	(206)mgyr_AvailableforsaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPosition12MonthsOrLongerAggregateLosses2	(877)mgyr_AvailableforsaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPosition12MonthsOrLongerAggregateLosses2
Total, Fair Value	23,296mgyr_AvailableForSaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionFairValue	39,301mgyr_AvailableForSaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionFairValue
Total, Unrealized Losses	(245)mgyr_AggregateUnrealizedLossesTotal	(958)mgyr_AggregateUnrealizedLossesTotal
Obligations of U.S. government agencies Mortgage backed securities - residential
Available For Sale and Held To Maturity Securities
Number of Securities	3mgyr_AvailableForSaleAndHeldToMaturitySecuritiesInUnrealizedLossPositionsQualitativeDisclosureNumberOfPositions / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesResidentialMortgageBackedSecuritiesMember	3mgyr_AvailableForSaleAndHeldToMaturitySecuritiesInUnrealizedLossPositionsQualitativeDisclosureNumberOfPositions / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesResidentialMortgageBackedSecuritiesMember
Less Than 12 Months, Fair Value
Less Than 12 Months, Unrealized Losses
12 Months or Longer, Fair Value	2,629mgyr_AvailableForSaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionTwelveMonthsOrLongerFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesResidentialMortgageBackedSecuritiesMember	2,918mgyr_AvailableForSaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionTwelveMonthsOrLongerFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesResidentialMortgageBackedSecuritiesMember
12 Months or Longer, Unrealized Losses	(86)mgyr_AvailableforsaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPosition12MonthsOrLongerAggregateLosses2 / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesResidentialMortgageBackedSecuritiesMember	(139)mgyr_AvailableforsaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPosition12MonthsOrLongerAggregateLosses2 / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesResidentialMortgageBackedSecuritiesMember
Total, Fair Value	2,629mgyr_AvailableForSaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesResidentialMortgageBackedSecuritiesMember	2,918mgyr_AvailableForSaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesResidentialMortgageBackedSecuritiesMember
Total, Unrealized Losses	(86)mgyr_AggregateUnrealizedLossesTotal / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesResidentialMortgageBackedSecuritiesMember	(139)mgyr_AggregateUnrealizedLossesTotal / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesResidentialMortgageBackedSecuritiesMember
Obligations of U.S. government agencies Mortgage backed securities -commercial
Available For Sale and Held To Maturity Securities
Number of Securities	1mgyr_AvailableForSaleAndHeldToMaturitySecuritiesInUnrealizedLossPositionsQualitativeDisclosureNumberOfPositions / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesCommercialMortgageBackedSecuritiesMember	1mgyr_AvailableForSaleAndHeldToMaturitySecuritiesInUnrealizedLossPositionsQualitativeDisclosureNumberOfPositions / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesCommercialMortgageBackedSecuritiesMember
Less Than 12 Months, Fair Value
Less Than 12 Months, Unrealized Losses
12 Months or Longer, Fair Value	1,133mgyr_AvailableForSaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionTwelveMonthsOrLongerFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesCommercialMortgageBackedSecuritiesMember	1,168mgyr_AvailableForSaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionTwelveMonthsOrLongerFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesCommercialMortgageBackedSecuritiesMember
12 Months or Longer, Unrealized Losses	(2)mgyr_AvailableforsaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPosition12MonthsOrLongerAggregateLosses2 / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesCommercialMortgageBackedSecuritiesMember
Total, Fair Value	1,133mgyr_AvailableForSaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesCommercialMortgageBackedSecuritiesMember	1,168mgyr_AvailableForSaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesCommercialMortgageBackedSecuritiesMember
Total, Unrealized Losses	(2)mgyr_AggregateUnrealizedLossesTotal / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesCommercialMortgageBackedSecuritiesMember
Obligations of U.S. government-sponsored enterprises Mortgage backed securities - residential
Available For Sale and Held To Maturity Securities
Number of Securities	9mgyr_AvailableForSaleAndHeldToMaturitySecuritiesInUnrealizedLossPositionsQualitativeDisclosureNumberOfPositions / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentSponsoredEnterprisesDebtSecuritiesResidentialMortgageBackedSecuritiesMember	20mgyr_AvailableForSaleAndHeldToMaturitySecuritiesInUnrealizedLossPositionsQualitativeDisclosureNumberOfPositions / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentSponsoredEnterprisesDebtSecuritiesResidentialMortgageBackedSecuritiesMember
Less Than 12 Months, Fair Value	2,077mgyr_AvailableForSaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionLessThanTwelveMonthsFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentSponsoredEnterprisesDebtSecuritiesResidentialMortgageBackedSecuritiesMember	12,114mgyr_AvailableForSaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionLessThanTwelveMonthsFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentSponsoredEnterprisesDebtSecuritiesResidentialMortgageBackedSecuritiesMember
Less Than 12 Months, Unrealized Losses	(30)mgyr_AvailableforsaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionLessThan12MonthsAggregateLosses2 / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentSponsoredEnterprisesDebtSecuritiesResidentialMortgageBackedSecuritiesMember	(80)mgyr_AvailableforsaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionLessThan12MonthsAggregateLosses2 / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentSponsoredEnterprisesDebtSecuritiesResidentialMortgageBackedSecuritiesMember
12 Months or Longer, Fair Value	12,232mgyr_AvailableForSaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionTwelveMonthsOrLongerFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentSponsoredEnterprisesDebtSecuritiesResidentialMortgageBackedSecuritiesMember	19,960mgyr_AvailableForSaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionTwelveMonthsOrLongerFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentSponsoredEnterprisesDebtSecuritiesResidentialMortgageBackedSecuritiesMember
12 Months or Longer, Unrealized Losses	(85)mgyr_AvailableforsaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPosition12MonthsOrLongerAggregateLosses2 / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentSponsoredEnterprisesDebtSecuritiesResidentialMortgageBackedSecuritiesMember	(582)mgyr_AvailableforsaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPosition12MonthsOrLongerAggregateLosses2 / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentSponsoredEnterprisesDebtSecuritiesResidentialMortgageBackedSecuritiesMember
Total, Fair Value	14,309mgyr_AvailableForSaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentSponsoredEnterprisesDebtSecuritiesResidentialMortgageBackedSecuritiesMember	32,074mgyr_AvailableForSaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentSponsoredEnterprisesDebtSecuritiesResidentialMortgageBackedSecuritiesMember
Total, Unrealized Losses	(115)mgyr_AggregateUnrealizedLossesTotal / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentSponsoredEnterprisesDebtSecuritiesResidentialMortgageBackedSecuritiesMember	(662)mgyr_AggregateUnrealizedLossesTotal / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentSponsoredEnterprisesDebtSecuritiesResidentialMortgageBackedSecuritiesMember
Obligations of U.S. government-sponsored enterprises Debt securities
Available For Sale and Held To Maturity Securities
Number of Securities	4mgyr_AvailableForSaleAndHeldToMaturitySecuritiesInUnrealizedLossPositionsQualitativeDisclosureNumberOfPositions / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_USGovernmentSponsoredEnterprisesDebtSecuritiesMember	3mgyr_AvailableForSaleAndHeldToMaturitySecuritiesInUnrealizedLossPositionsQualitativeDisclosureNumberOfPositions / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_USGovernmentSponsoredEnterprisesDebtSecuritiesMember
Less Than 12 Months, Fair Value	1,992mgyr_AvailableForSaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionLessThanTwelveMonthsFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_USGovernmentSponsoredEnterprisesDebtSecuritiesMember
Less Than 12 Months, Unrealized Losses	(8)mgyr_AvailableforsaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionLessThan12MonthsAggregateLosses2 / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_USGovernmentSponsoredEnterprisesDebtSecuritiesMember
12 Months or Longer, Fair Value	2,972mgyr_AvailableForSaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionTwelveMonthsOrLongerFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_USGovernmentSponsoredEnterprisesDebtSecuritiesMember	2,848mgyr_AvailableForSaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionTwelveMonthsOrLongerFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_USGovernmentSponsoredEnterprisesDebtSecuritiesMember
12 Months or Longer, Unrealized Losses	(28)mgyr_AvailableforsaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPosition12MonthsOrLongerAggregateLosses2 / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_USGovernmentSponsoredEnterprisesDebtSecuritiesMember	(152)mgyr_AvailableforsaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPosition12MonthsOrLongerAggregateLosses2 / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_USGovernmentSponsoredEnterprisesDebtSecuritiesMember
Total, Fair Value	4,964mgyr_AvailableForSaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_USGovernmentSponsoredEnterprisesDebtSecuritiesMember	2,848mgyr_AvailableForSaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_USGovernmentSponsoredEnterprisesDebtSecuritiesMember
Total, Unrealized Losses	(36)mgyr_AggregateUnrealizedLossesTotal / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_USGovernmentSponsoredEnterprisesDebtSecuritiesMember	(152)mgyr_AggregateUnrealizedLossesTotal / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_USGovernmentSponsoredEnterprisesDebtSecuritiesMember
Private label mortgage-backed securities-residential
Available For Sale and Held To Maturity Securities
Number of Securities	2mgyr_AvailableForSaleAndHeldToMaturitySecuritiesInUnrealizedLossPositionsQualitativeDisclosureNumberOfPositions / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_MortgageBackedSecuritiesIssuedByPrivateEnterprisesMember	2mgyr_AvailableForSaleAndHeldToMaturitySecuritiesInUnrealizedLossPositionsQualitativeDisclosureNumberOfPositions / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_MortgageBackedSecuritiesIssuedByPrivateEnterprisesMember
Less Than 12 Months, Fair Value	19mgyr_AvailableForSaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionLessThanTwelveMonthsFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_MortgageBackedSecuritiesIssuedByPrivateEnterprisesMember	20mgyr_AvailableForSaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionLessThanTwelveMonthsFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_MortgageBackedSecuritiesIssuedByPrivateEnterprisesMember
Less Than 12 Months, Unrealized Losses	(1)mgyr_AvailableforsaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionLessThan12MonthsAggregateLosses2 / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_MortgageBackedSecuritiesIssuedByPrivateEnterprisesMember	(1)mgyr_AvailableforsaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionLessThan12MonthsAggregateLosses2 / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_MortgageBackedSecuritiesIssuedByPrivateEnterprisesMember
12 Months or Longer, Fair Value	242mgyr_AvailableForSaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionTwelveMonthsOrLongerFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_MortgageBackedSecuritiesIssuedByPrivateEnterprisesMember	273mgyr_AvailableForSaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionTwelveMonthsOrLongerFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_MortgageBackedSecuritiesIssuedByPrivateEnterprisesMember
12 Months or Longer, Unrealized Losses	(5)mgyr_AvailableforsaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPosition12MonthsOrLongerAggregateLosses2 / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_MortgageBackedSecuritiesIssuedByPrivateEnterprisesMember	(4)mgyr_AvailableforsaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPosition12MonthsOrLongerAggregateLosses2 / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_MortgageBackedSecuritiesIssuedByPrivateEnterprisesMember
Total, Fair Value	261mgyr_AvailableForSaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_MortgageBackedSecuritiesIssuedByPrivateEnterprisesMember	293mgyr_AvailableForSaleAndHeldToMaturitySecuritiesContinuousUnrealizedLossPositionFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_MortgageBackedSecuritiesIssuedByPrivateEnterprisesMember
Total, Unrealized Losses	$ (6)mgyr_AggregateUnrealizedLossesTotal / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_MortgageBackedSecuritiesIssuedByPrivateEnterprisesMember	$ (5)mgyr_AggregateUnrealizedLossesTotal / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_MortgageBackedSecuritiesIssuedByPrivateEnterprisesMember

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Amount of the excess of amortized cost basis over fair value of securities that have been in a loss position for twelve months or longer for securities which are categorized as available for sale and held-to-maturity securities.

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