Rupee trimmed its early gains in late morning trade today but was still up by 62 paise at 66 rupees 45 paise a dollar amidst sharp rise in equity markets. The rupee had gained 138 paise in opening trade to touch 65rupees 69 paise level but lost momentum in late morning deals due to some dollar demand. The rupee had settled at 67.07 against the dollar yesterday, up by 56 paise over the previous day's close.A forex dealer said,weakness in the Dollar in the overseas market and latest RBI measures to support the rupee boosted the value of the domestic currency.To support the rupee, new RBI governor R Rajan yesterday announced steps, such as liberalisation of the financial market by enhancing the limits for exporters to re-book cancelled forward exchange contracts and opening a special concessional window for swapping foreign currency non-resident, FCNR deposits and dollar funds.