At the interbank foreign exchange market, the local unit opened at 83.48 against the greenback, registering a rise of 4 paise from its previous close.
On Monday, the rupee settled 7 paise lower at 83.52 against the US dollar.
"India's enduringly strong economic fundamentals, coupled with its substantial foreign exchange reserves acting as a safety net, equip the Reserve Bank of India to effectively mitigate any downward pressure on the rupee," CR Forex Advisors MD Amit Pabari said.
Moreover, substantial foreign direct investment (FDI) inflows are anticipated. The Adani Group is eyeing a USD 600 million raise via offshore loans, while Belstar Microfinance plans to raise USD 150 million through an IPO.
"Considering these factors, the downside of the rupee is capped at 83.60. While it is expected to appreciate around 83 to 83.20 in the near-term, with medium-term appreciation ranging between 82.80 to 82.50 levels," Pabari said.
Meanwhile, the dollar index, which gauges the greenback's strength against a basket of six currencies, was trading at 105.18, higher by 0.13 per cent.
Brent crude futures, the global oil benchmark, rose 0.29 per cent to USD 83.57 per barrel.
On the domestic equity market front, the 30-share BSE Sensex rose 19.43 points or 0.03 per cent to 73,914.97 in early trade. The NSE Nifty advanced 19.90 points or 0.09 per cent to 22,462.60 points.
Foreign Institutional Investors (FIIs) were net sellers in the capital markets on Monday, as they offloaded shares worth Rs 2,168.75 crore, according to exchange data.
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