The rupee declined by 13 paise at 63.73 against dollar in the early trade on Thursday. Buying of American currency by banks and importers mainly affected the currency.
It closed 11 paise up at 63.60 against the US currency on Wednesday.
Meanwhile, domestic equity markets opened on a flat note following global cues. The BSE Sensex opened 38.41 points, or 0.11 per cent, up at 34,471.48, while the NSE Nifty index opened 4.85 points, or 0.05 per cent, up at 10,637.05.
Foreign portfolio investors (FPIs) sold shares worth a net Rs 572.26 crore on January 10, as per provisional data released by the stock exchanges.
Domestic institutional investors (DIIs) bought shares worth a net Rs 600.24 crore, as per provisional data.
Government bonds tumbled in the previous trading session, with the benchmark yield at a more-than 18-month high, tracking overnight gains in the US, treasury yields and higher global crude oil prices.
The GoI benchmark 6.79 per cent 2027 bond yield declined to 7.26 per cent on January 10 from 7.37 per cent on January 9.