Stocks rose at the open on Tuesday as optimism grew that the Greek parliament would adopt a deeply unpopular austerity plan, easing concerns about a debt default.

The Dow Jones industrial average <.DJI> was up 37.54 points, or 0.31 percent, at 12,081.10. The Standard & Poor's 500 Index <.SPX> put on 3.92 points, or 0.31 percent, at 1,284.02. The Nasdaq Composite Index <.IXIC> rose 7.48 points, or 0.28 percent, at 2,695.76.

(Reporting by Angela Moon)