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INVESTMENT SECURITIES (Summary of Amortized Cost and Fair Values of Securities Held to Maturity) (Details) (USD $) In Thousands, unless otherwise specified	Mar. 31, 2015	Sep. 30, 2014
Held to Maturity Securities, Amortized Cost
Due within 1 year
Due after 1 but within 5 years	2,000us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterOneThroughFiveYearsNetCarryingAmount
Due after 5 but within 10 years	2,000us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsNetCarryingAmount
Due after 10 years	1,000us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsNetCarryingAmount
Total debt securities	5,000us-gaap_HeldToMaturitySecurities
Mortgage Backed Securities, Residential	44,410mgyr_HeldToMaturitySecuritiesMortgageResidentialMaturitiesNetCarryingAmount
Mortgage Backed Securities, Commercial	1,135mgyr_HeldToMaturitySecuritiesMortgageCommercialMaturitiesNetCarryingAmount
Amortized cost	50,545us-gaap_HeldToMaturitySecuritiesAmortizedCostBeforeOtherThanTemporaryImpairment	48,963us-gaap_HeldToMaturitySecuritiesAmortizedCostBeforeOtherThanTemporaryImpairment
Held to Maturity Securities, Fair Value
Due within 1 year
Due after 1 but within 5 years	1,992us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue
Due after 5 but within 10 years	1,973us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue
Due after 10 years	999us-gaap_HeldToMaturitySecuritiesDebtMaturitiesAfterTenYearsFairValue
Total debt securities	4,964mgyr_TotalDebtSecurities
Mortgage Backed Securities, Residential	45,220mgyr_HeldToMaturitySecuritiesMortgageResidentialMaturitiesFairValue
Mortgage Backed Securities, Commercial	1,133mgyr_HeldToMaturitySecuritiesMortgageCommercialMaturitiesFairValue
Fair value	$ 51,317us-gaap_HeldToMaturitySecuritiesFairValue	$ 48,822us-gaap_HeldToMaturitySecuritiesFairValue

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- Definition

Fair value of mortgage-backed commercial debt securities categorized as held-to-maturity.

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Carrying amount of mortgage-backed commercial debt securities accounted for as held-to-maturity, net of adjustments including, but not limited to, accretion, amortization, collection of cash, previous other-than-temporary impairments (OTTI) recognized, and fair value hedge accounting adjustments.

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Fair value of mortgage-backed residential debt securities categorized as held-to-maturity.

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Carrying amount of mortgage-backed residential debt securities accounted for as held-to-maturity, net of adjustments including, but not limited to, accretion, amortization, collection of cash, previous other-than-temporary impairments (OTTI) recognized, and fair value hedge accounting adjustments.

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

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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 held-to-maturity debt securities maturing in the sixth fiscal year through the tenth fiscal year following the latest fiscal year. Excludes interim and annual periods when interim periods are reported on a rolling approach, from latest balance sheet date.

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Fair value of held-to-maturity debt securities maturing in the next fiscal year following the latest fiscal year. Excludes interim and annual periods when interim periods are reported on a rolling approach, from latest balance sheet date.

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