The domestic currency opened lower at 66.70 as against yesterday's closing level of 66.62 per dollar at the Interbank Foreign Exchange (Forex) market.
Later, it spiralled downward and languished between 66.90 and 66.70 during morning deals, it was still quoting 66.90 at 1045 hrs.
Meanwhile, the dollar Index was dropped by 2.06 per cent at 95.91 against a basket of six currencies in the early trade.
An early trend suggesting Republican Donald Trump's lead in US presidential election also influenced the trading sentiment.
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In the forward market, premium for dollar fell back due to fresh receivings from exporter
The benchmark six-month premium for May declined to 132-134 paise from 139-141 paise and the far-forward November 2017 contract also drifted to 277-279 paise from 288-290 paise yesterday.
The flagship Sensex edged higher 52.90 points to end at 26,747.18, while Nifty gained 14.90 points at 8,261.75.
Meanwhile, crude prices extended gains on the back of growing optimism that non-OPEC producers might agree to cut output following a cartel agreement to limit production.