Continuing its record-breaking spree in the New Year, the Sensex hit the 35,000 milestone today. The benchmark index surged 310 points to close at 35,081. Another benchmark index Nifty hit 10,800 today, before closing at 10,788, up 88 points. Apart from a global market rally, optimism about acceleration in corporate earnings growth and economic growth has spurred markets to new highs this year, say analysts. The rupee also closed higher at 63.88 against the US dollar today vs its Tuesday's close of 64.03.