The rupee firmed up by 14 paise to 64 point 05 against the US dollar today as exporters and banks intensified selling of the American currency. Yesterday, the rupee had ended 4 paise lower at 64.19, the second straight session loss against the US currency,owing to bouts of month-end dollar demand from importers andcorporates.Meanwhile, the benchmark Nifty touched a new high of 10,101 and the Sensex climbed 100 points to 32,615 in opening trade.