Besides, stock markets opening with gains and sustained foreign fund inflows also supported the domestic unit, forex dealers said.
The dollar's weakness against some currencies overseas also supported the rupee's upmove.
The rupee opened higher at 63.35 a dollar and moved to a high of 63.31 a dollar in early trade.
The rupee yesterday bounced back to end at a fresh 2-1/2 year high of 63.41, gaining by 12 paise against the US dollar on optimism over a brightening economic picture.
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