The rupee slipped 2 paise to an all-time low of 84.40 against the US dollar in early trade on Tuesday, as persistent foreign fund outflows and strength of the American currency in the overseas market dented investors' sentiments. Forex traders said the rupee is expected to trade between 83.80 and 84.50 in the medium term with the Reserve Bank of India likely limiting any significant downside, aided by its robust foreign exchange reserves. At the interbank foreign exchange, the rupee opened at 84.39 against the greenback, then fell further to an all-time low of 84.40, registering a fall of 2 paise over its previous close. On Monday, the rupee dropped 1 paisa to hit a new lifetime low of 84.38 against the US dollar, registering the fourth straight session of loss. "The Reserve Bank of India plays a key role in stabilizing the rupee, curbing its depreciation. Despite the Emerging Market Currencies Index dropping 6.30 per cent from October 2, the rupee fell only 0.69 per cent, reflect