At the interbank foreign exchange, the local unit opened at 84.38 -- down 9 paise from its previous close -- and then slid further to 84.44, registering a decline of 15 paise from its previous close.
On Tuesday, the rupee pared its intra-day losses to settle flat at 84.29 against the US dollar.
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"The rupee may be in the broad range of 84.00 to 84.50 in the near term as markets await a slew of data from the US this evening," Bhansali added.
Meanwhile, the dollar index, which gauges the greenback's strength against a basket of six currencies, was down 0.15 per cent to 106.84.
Brent crude, the global oil benchmark, was marginally down 0.10 per cent to USD 72.74 per barrel in futures trade.
In the domestic equity market, the 30-share equity benchmark Sensex was trading 46.69 points lower, or 0.06 per cent, at 79,957.57 points.