NEW YORK — Wall Street began the second quarter with a big rally Tuesday as investors rushed back into stocks, optimistic that the worst of the credit crisis has passed and that the economy is faring better than expected.

The Dow Jones industrials surged nearly 400 points, and all the major indexes were up more than 3 percent.

Financial stocks were among the big winners after Lehman Brothers Holdings Inc. and Switzerland's UBS AG issued new shares to help bolster their balance sheets.

Wall Street got another boost when the Institute for Supply Management said its March index of national manufacturing activity rose to a reading of 48.6 — indicating a contraction, but a slower one than in February and tamer than many analysts had predicted. Government data on construction spending for February also came in better than expected.