"Continued capital inflows and rally in domestic equities influenced the rupee sentiment," a forex dealer said.
Earlier, the rupee opened higher at 65.29 per dollar as against yesterday's level of 65.41 per dollar at the Interbank Foreign Exchange (Forex) market.
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The dollar index currently trades down by 0.01% at 95.45 as against a basket of six currencies.
The dollar weakened against major currencies yesterday as expectations of a Fed rate hike before year-end ebbed.
The benchmark BSE Sensex was up by 83 points at 27,015.91 at 1035 hrs.
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