NEW YORK — Stocks rose worldwide Monday after President Donald Trump relaxed some of his tariffs, for now at least, and as stress from within the U.S. bond market seems to be easing.

The S&P 500 climbed 0.8%, though trading was still shaky, and it briefly gave back all of its big early gain of 1.8%. The Dow Jones Industrial Average rose 312 points, or 0.8%, and the Nasdaq composite added 0.6%.

Apple and other technology companies helped lift Wall Street after Trump said he was exempting smartphones, computers and other electronics from some of his stiff tariffs, which could ultimately more than double prices for U.S. customers of products coming from China. Such an exemption would mean U.S. importers don’t have to choose between passing on the higher costs to their customers or taking a hit to their own profits.

Apple climbed 2.2%, and Dell Technologies rose 4%.

Automakers also rallied after Trump suggested he may announce pauses on tariffs next for the auto industry. General Motors rose 3.5%, and Ford Motor rallied 4.1%.

All told, the S&P 500 rose 42.61 points to 5,405.97. The Dow Jones Industrial Average gained 312.08 to 40,524.79, and the Nasdaq composite climbed 107.03 to 16,831.48.