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FAIR VALUE DISCLOSURES (Schedule of Additional Quantitative Information About Assets Measured at Fair Value) (Details) (Fair Value Measured on a Nonrecurring Basis [Member], USD $) In Thousands, unless otherwise specified | 6 Months Ended
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Mar. 31, 2015
Impaired Loans |
Fair value estimate | $ 2,475us-gaap_AssetsFairValueDisclosureNonrecurring / us-gaap_FairValueByMeasurementBasisAxis = mgyr_ImpairedLoansMember / us-gaap_FairValueByMeasurementFrequencyAxis = us-gaap_FairValueMeasurementsNonrecurringMember
Valuation techniques and Unobservable Input | Appraisal of collateral; Liquidation expenses
Impaired Loans | Weighted Average [Member] |
Fair value input- appraisal of collateral | (16.60%)mgyr_FairValueAssumptionsAppraisalOfCollateral / us-gaap_FairValueByMeasurementBasisAxis = mgyr_ImpairedLoansMember / us-gaap_FairValueByMeasurementFrequencyAxis = us-gaap_FairValueMeasurementsNonrecurringMember / us-gaap_RangeAxis = us-gaap_WeightedAverageMember
Impaired Loans | Minimum [Member] |
Fair value input- appraisal of collateral | (16.00%)mgyr_FairValueAssumptionsAppraisalOfCollateral / us-gaap_FairValueByMeasurementBasisAxis = mgyr_ImpairedLoansMember / us-gaap_FairValueByMeasurementFrequencyAxis = us-gaap_FairValueMeasurementsNonrecurringMember / us-gaap_RangeAxis = us-gaap_MinimumMember
Impaired Loans | Maximum [Member] |
Fair value input- appraisal of collateral | (18.00%)mgyr_FairValueAssumptionsAppraisalOfCollateral / us-gaap_FairValueByMeasurementBasisAxis = mgyr_ImpairedLoansMember / us-gaap_FairValueByMeasurementFrequencyAxis = us-gaap_FairValueMeasurementsNonrecurringMember / us-gaap_RangeAxis = us-gaap_MaximumMember
Other Real Estate Owned |
Fair value estimate | $ 2,998us-gaap_AssetsFairValueDisclosureNonrecurring / us-gaap_FairValueByMeasurementBasisAxis = mgyr_OtherRealEstateOwnedMember / us-gaap_FairValueByMeasurementFrequencyAxis = us-gaap_FairValueMeasurementsNonrecurringMember
Valuation techniques and Unobservable Input | Appraisal of collateral; Appraisal adjustments
Other Real Estate Owned | Weighted Average [Member] |
Fair value input- appraisal of collateral | (19.10%)mgyr_FairValueAssumptionsAppraisalOfCollateral / us-gaap_FairValueByMeasurementBasisAxis = mgyr_OtherRealEstateOwnedMember / us-gaap_FairValueByMeasurementFrequencyAxis = us-gaap_FairValueMeasurementsNonrecurringMember / us-gaap_RangeAxis = us-gaap_WeightedAverageMember
Other Real Estate Owned | Minimum [Member] |
Fair value input- appraisal of collateral | (8.00%)mgyr_FairValueAssumptionsAppraisalOfCollateral / us-gaap_FairValueByMeasurementBasisAxis = mgyr_OtherRealEstateOwnedMember / us-gaap_FairValueByMeasurementFrequencyAxis = us-gaap_FairValueMeasurementsNonrecurringMember / us-gaap_RangeAxis = us-gaap_MinimumMember
Other Real Estate Owned | Maximum [Member] |
Fair value input- appraisal of collateral | (29.50%)mgyr_FairValueAssumptionsAppraisalOfCollateral / us-gaap_FairValueByMeasurementBasisAxis = mgyr_OtherRealEstateOwnedMember / us-gaap_FairValueByMeasurementFrequencyAxis = us-gaap_FairValueMeasurementsNonrecurringMember / us-gaap_RangeAxis = us-gaap_MaximumMember

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- Definition Measure of appraisal of collateral, in percentage terms. + References No definition available. + Details
Name: | mgyr_FairValueAssumptionsAppraisalOfCollateral
Namespace Prefix: | mgyr_
Data Type: | num:percentItemType
Balance Type: | na
Period Type: | duration

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- Definition This element represents the aggregate of the assets reported on the balance sheet at period end measured at fair value on a nonrecurring basis by the entity. This element is intended to be used in connection with the fair value disclosures required in the footnote disclosures to the financial statements. + References No definition available. + Details
Name: | us-gaap_AssetsFairValueDisclosureNonrecurring
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- Definition Description of the inputs and valuation technique(s) used to measure fair value. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 820 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (bbb) -URI http://asc.fasb.org/extlink&oid=36462937&loc=d3e19207-110258 + Details
Name: | us-gaap_FairValueMeasurementsValuationTechniques
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Details
Name: | us-gaap_FairValueByMeasurementBasisAxis=mgyr_ImpairedLoansMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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- Details
Name: | us-gaap_FairValueByMeasurementBasisAxis=mgyr_OtherRealEstateOwnedMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |