The domestic unit resumed lower at 66.35 as against yesterday's closing of 66.33 at the Interbank Foreign Exchange (Forex) market and fell further to 66.48 before concluding at 66.36, showing a loss of three paise, or 0.05%.
The rupee hovered in a range of 66.33 and 66.48 during the day.
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The dollar index was down by 0.07% against a basket of six currencies.
In New York, the US dollar ended lower against its major rivals late yesterday as investors wagered that the US Federal Reserve will keep key interest rates unchanged this month, but fears that the American central bank might surprise the market played on investors' minds.
Oil rates saw a mixed trend in Asia today as prices remained hobbled by weak demand and excess supplies.
US benchmark West Texas Intermediate for delivery in October climbed by 22 cents to USD 44.22, while Brent crude for October dipped six cents to USD 46.31.
Meanwhile, the benchmark BSE Sensex fell by 150.77 points, or 0.58%, to settle at 25,705.93 today.
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