Stocks stormed higher Tuesday after promising signals about the profitability of U.S. companies and a strong debt auction by Spain. The Dow Jones industrial average rose for the fourth day in five and posted its biggest gain in a month.

European stocks had their best day in four months after Spain, the latest flashpoint in the European debt crisis, attracted strong investor interest at an auction of two-year debt.

Spain’s borrowing costs fell, as measured by the yields on Spanish bonds being traded in the market. In recent days, those yields had risen closer to levels that might force Spain to seek an international bailout.

“There’s no doubt that gave the market a second wind,” Anthony Chan, chief economist with J.P. Morgan Private Wealth management, said of the debt auction. “The market is reassessing and feeling a little better.”

The Dow Jones industrial average closed up 194.13 points, or 1.5 percent, at 13,115.54. It was up as much as 210 points Tuesday afternoon. The Dow has had only one 200-point rise this year, a gain of 218 points on March 13.