The Nasdaq rose more than 4 percent while the Dow and S&P 500 added to gains late on Tuesday, with hopes of more economic stimulus from the Federal Reserve boosting sentiment.

The Dow Jones industrial average <.DJI> was up 304.25 points, or 2.80 percent, at 11,158.90. The Standard & Poor's 500 Index <.SPX> was up 35.75 points, or 3.18 percent, at 1,159.57. The Nasdaq Composite Index <.IXIC> was up 93.82 points, or 4.00 percent, at 2,439.20.

(Reporting by Caroline Valetkevitch; Editing by Kenneth Barry)