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INVESTMENT SECURITIES - Additional information (Details) - USD ($) $ in Millions | Sep. 30, 2019 | Mar. 31, 2019
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INVESTMENT SECURITIES |  |
Pledged as collateral at amortized cost | $ 5.3 | $ 5.8
Pledged as collateral at fair value | $ 5.4 | $ 5.7

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- Definition The amortized cost of investment securities available for sale pledged as collateral for government public funds held by the bank, as of the date indicated. + References No definition available. + Details
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Namespace Prefix: | rvsb_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- References No definition available. + Details
Name: | us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Definition The sum of the fair values, as of the date of each statement of financial position presented, of securities that are restricted as collateral for the payment of related debt obligations, primarily secured borrowings and repurchase agreements, and that are reclassified and separately reported in the statement of financial position because the transferee has the right by contract or custom to sell or re-pledge them. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 860 -SubTopic 30 -Section 45 -Paragraph 1 -URI http://asc.fasb.org/extlink&oid=66007379&loc=d3e113888-111728 + Details
Name: | us-gaap_PledgedAssetsSeparatelyReportedSecuritiesPledgedAsCollateralAtFairValue
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant