Earlier, the rupee opened higher at 63.34 against yesterday's closing of 63.44 at the Interbank Foreign Exchange market. It strengthened further to 63.30 before volatility led it to drop to 63.65 on heavy bouts of dollar demand from importers. The local currency was quoting 63.59 at 1100 hrs.
The rupee hovered in the range of 63.65 to 63.30 during morning deals.
Sustained capital outflows amid weak equities and surging crude prices looming largely on sentiment, a dealer said.
Meanwhile, BSE Sensex was trading lower by 556.23 points or 2.03 per cent at 26,883.91 in late morning trade.