The benchmark BSE Sensex rose 53 points to 33,671 in the late morning session on Wednesday. NSE Nifty was also up over 13 points at 10,383.The rupee depreciated 10 paise to 64.51 against the US dollar in early trade on Wednesday at the interbank foreign exchange due to appreciation of the American currency overseas.On Tuesday, the rupee finished at a new two-month high of 64.41, appreciating by 9 paise.