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FAIR VALUE DISCLOSURES (Schedule of Assets Measured at Fair Value on a Recurring Basis) (Details) (USD $) In Thousands, unless otherwise specified	Mar. 31, 2015	Sep. 30, 2014
Fair value measured on recurring basis:
Securities available for sale	$ 6,310us-gaap_AvailableForSaleSecurities	$ 12,070us-gaap_AvailableForSaleSecurities
Obligations of U.S. government agencies Mortgage backed securities - residential [Member]
Fair value measured on recurring basis:
Securities available for sale		1,295us-gaap_AvailableForSaleSecurities / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesResidentialMortgageBackedSecuritiesMember
Obligations of U.S. government-sponsored enterprises Mortgage backed securities - residential [Member]
Fair value measured on recurring basis:
Securities available for sale	6,088us-gaap_AvailableForSaleSecurities / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentSponsoredEnterprisesDebtSecuritiesResidentialMortgageBackedSecuritiesMember	10,369us-gaap_AvailableForSaleSecurities / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentSponsoredEnterprisesDebtSecuritiesResidentialMortgageBackedSecuritiesMember
Private label mortgage-backed securities-residential [Member]
Fair value measured on recurring basis:
Securities available for sale	222us-gaap_AvailableForSaleSecurities / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_MortgageBackedSecuritiesIssuedByPrivateEnterprisesMember	406us-gaap_AvailableForSaleSecurities / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_MortgageBackedSecuritiesIssuedByPrivateEnterprisesMember
Fair Value, Measurements, Recurring [Member]
Fair value measured on recurring basis:
Securities available for sale	6,310us-gaap_AvailableForSaleSecurities / us-gaap_FairValueByMeasurementFrequencyAxis = us-gaap_FairValueMeasurementsRecurringMember	12,070us-gaap_AvailableForSaleSecurities / us-gaap_FairValueByMeasurementFrequencyAxis = us-gaap_FairValueMeasurementsRecurringMember
Fair Value, Measurements, Recurring [Member] | Obligations of U.S. government agencies Mortgage backed securities - residential [Member]
Fair value measured on recurring basis:
Securities available for sale		1,295us-gaap_AvailableForSaleSecurities / us-gaap_FairValueByMeasurementFrequencyAxis = us-gaap_FairValueMeasurementsRecurringMember / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesResidentialMortgageBackedSecuritiesMember
Fair Value, Measurements, Recurring [Member] | Obligations of U.S. government-sponsored enterprises Mortgage backed securities - residential [Member]
Fair value measured on recurring basis:
Securities available for sale	6,088us-gaap_AvailableForSaleSecurities / us-gaap_FairValueByMeasurementFrequencyAxis = us-gaap_FairValueMeasurementsRecurringMember / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentSponsoredEnterprisesDebtSecuritiesResidentialMortgageBackedSecuritiesMember	10,369us-gaap_AvailableForSaleSecurities / us-gaap_FairValueByMeasurementFrequencyAxis = us-gaap_FairValueMeasurementsRecurringMember / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentSponsoredEnterprisesDebtSecuritiesResidentialMortgageBackedSecuritiesMember
Fair Value, Measurements, Recurring [Member] | Private label mortgage-backed securities-residential [Member]
Fair value measured on recurring basis:
Securities available for sale	222us-gaap_AvailableForSaleSecurities / us-gaap_FairValueByMeasurementFrequencyAxis = us-gaap_FairValueMeasurementsRecurringMember / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_MortgageBackedSecuritiesIssuedByPrivateEnterprisesMember	406us-gaap_AvailableForSaleSecurities / us-gaap_FairValueByMeasurementFrequencyAxis = us-gaap_FairValueMeasurementsRecurringMember / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_MortgageBackedSecuritiesIssuedByPrivateEnterprisesMember
Fair Value, Measurements, Recurring [Member] | Fair Value, Inputs, Level 2 [Member]
Fair value measured on recurring basis:
Securities available for sale	6,310us-gaap_AvailableForSaleSecurities / us-gaap_FairValueByFairValueHierarchyLevelAxis = us-gaap_FairValueInputsLevel2Member / us-gaap_FairValueByMeasurementFrequencyAxis = us-gaap_FairValueMeasurementsRecurringMember	12,070us-gaap_AvailableForSaleSecurities / us-gaap_FairValueByFairValueHierarchyLevelAxis = us-gaap_FairValueInputsLevel2Member / us-gaap_FairValueByMeasurementFrequencyAxis = us-gaap_FairValueMeasurementsRecurringMember
Fair Value, Measurements, Recurring [Member] | Fair Value, Inputs, Level 2 [Member] | Obligations of U.S. government agencies Mortgage backed securities - residential [Member]
Fair value measured on recurring basis:
Securities available for sale		1,295us-gaap_AvailableForSaleSecurities / us-gaap_FairValueByFairValueHierarchyLevelAxis = us-gaap_FairValueInputsLevel2Member / us-gaap_FairValueByMeasurementFrequencyAxis = us-gaap_FairValueMeasurementsRecurringMember / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentAgenciesDebtSecuritiesResidentialMortgageBackedSecuritiesMember
Fair Value, Measurements, Recurring [Member] | Fair Value, Inputs, Level 2 [Member] | Obligations of U.S. government-sponsored enterprises Mortgage backed securities - residential [Member]
Fair value measured on recurring basis:
Securities available for sale	6,088us-gaap_AvailableForSaleSecurities / us-gaap_FairValueByFairValueHierarchyLevelAxis = us-gaap_FairValueInputsLevel2Member / us-gaap_FairValueByMeasurementFrequencyAxis = us-gaap_FairValueMeasurementsRecurringMember / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentSponsoredEnterprisesDebtSecuritiesResidentialMortgageBackedSecuritiesMember	10,369us-gaap_AvailableForSaleSecurities / us-gaap_FairValueByFairValueHierarchyLevelAxis = us-gaap_FairValueInputsLevel2Member / us-gaap_FairValueByMeasurementFrequencyAxis = us-gaap_FairValueMeasurementsRecurringMember / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = mgyr_USGovernmentSponsoredEnterprisesDebtSecuritiesResidentialMortgageBackedSecuritiesMember
Fair Value, Measurements, Recurring [Member] | Fair Value, Inputs, Level 2 [Member] | Private label mortgage-backed securities-residential [Member]
Fair value measured on recurring basis:
Securities available for sale	$ 222us-gaap_AvailableForSaleSecurities / us-gaap_FairValueByFairValueHierarchyLevelAxis = us-gaap_FairValueInputsLevel2Member / us-gaap_FairValueByMeasurementFrequencyAxis = us-gaap_FairValueMeasurementsRecurringMember / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_MortgageBackedSecuritiesIssuedByPrivateEnterprisesMember	$ 406us-gaap_AvailableForSaleSecurities / us-gaap_FairValueByFairValueHierarchyLevelAxis = us-gaap_FairValueInputsLevel2Member / us-gaap_FairValueByMeasurementFrequencyAxis = us-gaap_FairValueMeasurementsRecurringMember / us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis = us-gaap_MortgageBackedSecuritiesIssuedByPrivateEnterprisesMember

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Amount of investment in debt and equity securities categorized neither as held-to-maturity nor trading.

+ References

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

-Publisher FASB

-Name Accounting Standards Codification

-Topic 320

-SubTopic 10

-Section 25

-Paragraph 1

-Subparagraph (b)

-URI http://asc.fasb.org/extlink&oid=28360136&loc=d3e22054-111558



Reference 2: 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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-URI http://asc.fasb.org/extlink&oid=27724398&loc=d3e27232-111563



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-Topic 320

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-Section 45

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-URI http://asc.fasb.org/extlink&oid=6871852&loc=d3e26610-111562

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