The rupee was trading marginally strong at 62.01 against the dollar at 3.11 p.m. local time on mild dollar selling by banks and exporters.
The domestic unit opened weak by 13 paise at 62.20 per dollar against the previous close of 62.07 on the back of dollar demand from importers.
According to traders, the rupee is likely to remain range-bound in the 61.80 to 62.60 band this week unless some clear signals emerge.
Marketmen are looking for inflation data, due next week, to ascertain if the Reserve Bank of India will spring a positive surprise in terms of key rates on January 28.
Call rates, G-Secs
The inter-bank call money rate, the rate at which banks borrow short-term money from each other, opened higher at 8.8 per cent from the previous close of 8.75 per cent.
Yield on benchmark 8.83 per cent government security, maturing in 2023, hardened to 8.81 per cent from the previous close of 8.80 per cent. Prices opened higher at Rs 100.06 from the previous close of Rs 100.16.