Currency dealers said continued foreign fund inflows and weakness in the greenback against other currencies overseas supported the rupee.
Furthermore, a higher opening in the domestic equity market gave the uptrend some momentum, they added.
On Friday, the rupee ended at a 32-month high of 63.37, up 4 paise on steady unwinding of the American currency by exporters.
Meanwhile, the benchmark BSE Sensex rallied 178 points, or or 0.52 per cent, to trade at an all-time high of 34,331.85 and the NSE Nifty breached the 10,600 for the first time in opening trade today.
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