The rupee had settled at 77 paise higher at 65.24 against the dollar on Friday.
The forex and money markets remained closed yesterday on account of Ganesh Chaturthi.
The local currency has spurted 239 paise, or 3.53 per cent, in the past three sessions.
Traders said the rupee is supported by persistent dollar selling by exporters and banks and a higher opening in the equity market amid measures announced by the RBI last week to curb the domestic currency's slide.
Meanwhile, the BSE benchmark index soared by 401.35 points, or 2.08 per cent, to 19,671.41 in early trade.
The new RBI governor last week announced measures such as liberalisation of the financial market by enhancing the limits for exporters to re-book cancelled forward exchange contracts and opening a special concessional window for swapping foreign currency non-resident (FCNR) deposits and dollar funds to support the rupee.
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