The Indian Rupee rose by 13 paise to Rs 45.05 per US dollar at the Interbank Foreign Exchange today. Forex dealers said, a higher opening in the stock market and dollar losses against other Asian currencies kept the rupee sentiment firm.BSE Sensex recovers by almost 110 points in early tradeThe BSE benchmark Sensex today recovered by almost 110 points in the opening trade, with finance and other sector stocks rising on emergence of buying by funds. The Sensex, which had lost over 208 points in the previous session, rose to 18,259 points with banking, realty, auto and metal sector stocks leading the recovery.Similarly, the broad-based National Stock Exchange index Nifty moved up by over 36 points, to 5,483 points. Market analysts said bargain buying by funds and retail investors at select counters, after sharp losses in the previous session helped stocks to trade at moderately higher levels. In key Asian indices, the Japan's Nikkei rose by 3.05 per cent and Hong Kong's Hang Seng gained by 0.70 per cent in the morning trade today.