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INVESTMENT SECURITIES (Summary of Maturities of Debt Securities and Mortgage-backed Securities Held to Maturity) (Details) (USD $) In Thousands, unless otherwise specified	6 Months Ended	12 Months Ended
	Mar. 31, 2015	Sep. 30, 2014
Held to maturity securities
Amortized Cost	$ 50,545us-gaap_HeldToMaturitySecuritiesAmortizedCostBeforeOtherThanTemporaryImpairment	$ 48,963us-gaap_HeldToMaturitySecuritiesAmortizedCostBeforeOtherThanTemporaryImpairment
Gross Unrealized Gains	986us-gaap_HeldToMaturitySecuritiesUnrecognizedHoldingGains	661us-gaap_HeldToMaturitySecuritiesUnrecognizedHoldingGains
Gross Unrealized Losses	(214)us-gaap_HeldToMaturitySecuritiesUnrecognizedHoldingLosses	(802)us-gaap_HeldToMaturitySecuritiesUnrecognizedHoldingLosses
Fair Value	51,317us-gaap_HeldToMaturitySecuritiesFairValue	48,822us-gaap_HeldToMaturitySecuritiesFairValue
Obligations of U.S. government agencies Mortgage backed securities - residential
Held to maturity securities
Amortized Cost	6,472us-gaap_HeldToMaturitySecuritiesAmortizedCostBeforeOtherThanTemporaryImpairment / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesResidentialMortgageBackedSecuritiesMember	7,308us-gaap_HeldToMaturitySecuritiesAmortizedCostBeforeOtherThanTemporaryImpairment / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesResidentialMortgageBackedSecuritiesMember
Gross Unrealized Gains	220us-gaap_HeldToMaturitySecuritiesUnrecognizedHoldingGains / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesResidentialMortgageBackedSecuritiesMember	223us-gaap_HeldToMaturitySecuritiesUnrecognizedHoldingGains / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesResidentialMortgageBackedSecuritiesMember
Gross Unrealized Losses	(86)us-gaap_HeldToMaturitySecuritiesUnrecognizedHoldingLosses / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesResidentialMortgageBackedSecuritiesMember	(139)us-gaap_HeldToMaturitySecuritiesUnrecognizedHoldingLosses / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesResidentialMortgageBackedSecuritiesMember
Fair Value	6,606us-gaap_HeldToMaturitySecuritiesFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesResidentialMortgageBackedSecuritiesMember	7,392us-gaap_HeldToMaturitySecuritiesFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesResidentialMortgageBackedSecuritiesMember
Obligations of U.S. government agencies Mortgage backed securities -commercial
Held to maturity securities
Amortized Cost	1,135us-gaap_HeldToMaturitySecuritiesAmortizedCostBeforeOtherThanTemporaryImpairment / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesCommercialMortgageBackedSecuritiesMember	1,168us-gaap_HeldToMaturitySecuritiesAmortizedCostBeforeOtherThanTemporaryImpairment / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesCommercialMortgageBackedSecuritiesMember
Gross Unrealized Gains
Gross Unrealized Losses	(2)us-gaap_HeldToMaturitySecuritiesUnrecognizedHoldingLosses / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesCommercialMortgageBackedSecuritiesMember
Fair Value	1,133us-gaap_HeldToMaturitySecuritiesFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesCommercialMortgageBackedSecuritiesMember	1,168us-gaap_HeldToMaturitySecuritiesFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesCommercialMortgageBackedSecuritiesMember
Obligations of U.S. government-sponsored enterprises Mortgage backed securities - residential
Held to maturity securities
Amortized Cost	37,370us-gaap_HeldToMaturitySecuritiesAmortizedCostBeforeOtherThanTemporaryImpairment / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentSponsoredEnterprisesDebtSecuritiesResidentialMortgageBackedSecuritiesMember	36,894us-gaap_HeldToMaturitySecuritiesAmortizedCostBeforeOtherThanTemporaryImpairment / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentSponsoredEnterprisesDebtSecuritiesResidentialMortgageBackedSecuritiesMember
Gross Unrealized Gains	756us-gaap_HeldToMaturitySecuritiesUnrecognizedHoldingGains / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentSponsoredEnterprisesDebtSecuritiesResidentialMortgageBackedSecuritiesMember	413us-gaap_HeldToMaturitySecuritiesUnrecognizedHoldingGains / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentSponsoredEnterprisesDebtSecuritiesResidentialMortgageBackedSecuritiesMember
Gross Unrealized Losses	(85)us-gaap_HeldToMaturitySecuritiesUnrecognizedHoldingLosses / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentSponsoredEnterprisesDebtSecuritiesResidentialMortgageBackedSecuritiesMember	(507)us-gaap_HeldToMaturitySecuritiesUnrecognizedHoldingLosses / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentSponsoredEnterprisesDebtSecuritiesResidentialMortgageBackedSecuritiesMember
Fair Value	38,041us-gaap_HeldToMaturitySecuritiesFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentSponsoredEnterprisesDebtSecuritiesResidentialMortgageBackedSecuritiesMember	36,800us-gaap_HeldToMaturitySecuritiesFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentSponsoredEnterprisesDebtSecuritiesResidentialMortgageBackedSecuritiesMember
Obligations of U.S. government-sponsored enterprises Debt securities
Held to maturity securities
Amortized Cost	5,000us-gaap_HeldToMaturitySecuritiesAmortizedCostBeforeOtherThanTemporaryImpairment / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_USGovernmentSponsoredEnterprisesDebtSecuritiesMember	3,000us-gaap_HeldToMaturitySecuritiesAmortizedCostBeforeOtherThanTemporaryImpairment / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_USGovernmentSponsoredEnterprisesDebtSecuritiesMember
Gross Unrealized Gains
Gross Unrealized Losses	(36)us-gaap_HeldToMaturitySecuritiesUnrecognizedHoldingLosses / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_USGovernmentSponsoredEnterprisesDebtSecuritiesMember	(152)us-gaap_HeldToMaturitySecuritiesUnrecognizedHoldingLosses / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_USGovernmentSponsoredEnterprisesDebtSecuritiesMember
Fair Value	4,964us-gaap_HeldToMaturitySecuritiesFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_USGovernmentSponsoredEnterprisesDebtSecuritiesMember	2,848us-gaap_HeldToMaturitySecuritiesFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_USGovernmentSponsoredEnterprisesDebtSecuritiesMember
Private label mortgage-backed securities-residential
Held to maturity securities
Amortized Cost	568us-gaap_HeldToMaturitySecuritiesAmortizedCostBeforeOtherThanTemporaryImpairment / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_MortgageBackedSecuritiesIssuedByPrivateEnterprisesMember	593us-gaap_HeldToMaturitySecuritiesAmortizedCostBeforeOtherThanTemporaryImpairment / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_MortgageBackedSecuritiesIssuedByPrivateEnterprisesMember
Gross Unrealized Gains	10us-gaap_HeldToMaturitySecuritiesUnrecognizedHoldingGains / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_MortgageBackedSecuritiesIssuedByPrivateEnterprisesMember	25us-gaap_HeldToMaturitySecuritiesUnrecognizedHoldingGains / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_MortgageBackedSecuritiesIssuedByPrivateEnterprisesMember
Gross Unrealized Losses	(5)us-gaap_HeldToMaturitySecuritiesUnrecognizedHoldingLosses / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_MortgageBackedSecuritiesIssuedByPrivateEnterprisesMember	(4)us-gaap_HeldToMaturitySecuritiesUnrecognizedHoldingLosses / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_MortgageBackedSecuritiesIssuedByPrivateEnterprisesMember
Fair Value	$ 573us-gaap_HeldToMaturitySecuritiesFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_MortgageBackedSecuritiesIssuedByPrivateEnterprisesMember	$ 614us-gaap_HeldToMaturitySecuritiesFairValue / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_MortgageBackedSecuritiesIssuedByPrivateEnterprisesMember

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- Definition

Amount before other than temporary impairment (OTTI) accretion, of investments in debt securities classified as held-to-maturity.

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Fair value of investments in debt securities classified as held-to-maturity.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 320

-SubTopic 10

-Section 50

-Paragraph 5

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