Forex dealers said euro falling to 1.3008 levels and the US dollar strengthening against major currencies overseas also put pressure on the local currency.
"The rupee fell sharply today as the market was disappointed with the Budget for not meeting its expectations to take concrete steps to curb the burgeoning current account deficit (CAD)," said Ashtosh Raina, chief dealer at HDFC Bank.
He added that rupee is likely to fall further to 56-level in the near term.
Previously, it had finished at 54.98 on January 8, 2013.
However, the BSE benchmark index Sensex, which had fallen to a three-month low yesterday, recovered some ground and gained 57 points to end at 18,918.52 today.
Foreign institutional investors pumped in USD 114.21 million (Rs 626.89 crore) into local equities, according to BSE provisional data.
Rupee has a risk of further depreciation beyond 55 in the near-term, he added.
IDBI Bank Treasury Head N S Venkatesh said dollar demand from oil importers payments and selling pressure due to weakening in euro also weighed on rupee.
He, however, added that the fall in rupee is a short-term phenomenon and it will improve to 54.30-54.60 soon.
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