The rupee firmed up 16 paise to trade at 63.70 against the dollar in opening session today, rising for a third straight day on increased selling of the US currency by exporters and banks.
Forex dealers said the dollar was weak against other currencies overseas which supported the rupee.
A higher opening in the domestic equity market also influenced the rupee uptrend, they added.
Yesterday, the rupee had gained 2 paise to close at 63.86 against the American currency.
Meanwhile, the benchmark BSE Sensex rose 130.58 points, or 0.37 per cent, to 35,390.87 in early trade today.
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