Mumbai, Dec. 12 -- The Indian rupee depreciated by 9 paise to close at an all-time low of 90.41 against the US dollar on Friday. INR recovered slightly from day's low tracking local shares that closed higher, extending gains from the previous session on optimism for an India-U.S. trade deal after U.S. Trade Representative Jamieson Greer said that the U.S. has received the "best ever" offer from India. The benchmark BSE Sensex rose by 449.53 points, or 0.53 percent, to 85,267.66, after having snapped a three-day losing streak the previous day. The broader NSE Nifty index surged 148.40 points, or 0.57 percent, to 26,046.95. Aggressive dollar purchases by importers amid surging global precious metal prices are also adding pressure on the loc...