Besides, the greenback's strength against other Asian currencies and lacklustre local equity markets made the rupee depreciate further, forex dealers said.
In overseas trade, the dollar climbed to a fresh 1-month high against a basket of other major currencies amid Greece's financial crisis and also ahead of the much awaited Eurozone summit scheduled later in the day.
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However, the rupee suddenly turned volatile and immediately drifted to hit a fresh intra-day low of 63.4825 following robust dollar demand from importers, mainly oil refiners, and a late fall in local stocks, before finishing at 63.46, registering a loss of 6 paise, or 0.09 per cent.
The rupee had strengthened by 44 paise, or 0.69 per cent, over the last five sessions to touch a two-month high.
The US dollar index was up by 0.95 per cent at 97.34.
Crude oil witnessed its biggest one-day fall in five months overnight after Greece rejected bailout terms and Iran edged closer to a nuclear deal with western powers and also heightened concerns about the strength of the Chinese economy.
Meanwhile, the BSE Sensex declined by 37.07 points to settle at 28,171.68 today.
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