Dollar demand from importers also weighed on the rupee, which declined for the third straight day, while some weakness in the US currency overseas and increased capital inflows restricted the fall, a forex dealer said.
At the interbank foreign exchange market, the rupee opened lower at 62.25 a dollar from yesterday's close of 62.09 and dropped further to a low of 62.48 as local stocks fell.
The rupee is at the lowest level since December 3.
The US Fed will cut bond buying by USD 10 billion to USD 75 billion a month from January on signals the world's biggest economy is improving. The step may affect foreign capital inflows into local stocks.
"The immediate impact...Was the domestic currency going weak against the dollar earlier...However, rupee was seen gaining later in the day on the back of dollar selling by bankers," said Abhishek Goenka, CEO of India Forex Advisors.
"US Fed decision to start tapering and panic buying from oil importers kept rupee under pressure. However, at 62.41-62.42 levels, nationalised banks started selling dollars, likely on behalf of RBI, which was aimed at reducing volatility," the chief dealer at a state-owned bank said.
RBI Governor Raghuram Rajan yesterday said state-run oil marketing companies have about USD 7 billion in pending settlements after they availed of the central bank's special swap window to meet their dollar needs.
Foreign institutional investors bought shares worth a net Rs 1,198.60 crore yesterday, according to provisional data from the stock exchanges. Their net purchases today stood at Rs 2,264.11 crore.
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