(Updates with bourse close)

By Alexia Vlahos

SANTIAGO, June 4 (Reuters) - Chilean stocks closed firmer on Thursday, tracking gains on Wall Street as investors awaited data expected to show the country's economy shrank for a sixth month running in April, while the peso rose, traders said.

The blue-chip IPSA index .IPSA closed 0.46 percent firmer at 3,188.13, preliminary closing data showed, while the all-market IGPA index .IGPA rose 0.43 percent to 15,098.05.

The IPSA, which is up 34.2 percent year-to-date, rose around 16 percent in May, when it posted its biggest gain in a single month since January 1994.

In New York, the Dow Jones industrial average .DJI closed up 0.86 percent.

Chilean April economic activity data and May consumer price data are due out on Friday morning.

According to the median estimate of 8 analysts and economists polled by Reuters, Chile's Imacec economic activity index likely fell 3.6 percent in April after a 0.7 percent contraction in March.

Consumer prices are seen falling 0.2 percent in May, meaning 12-month inflation would converge with the central bank's target of around 3 percent, a Reuters poll of 11 analysts found.