Stocks closed broadly higher Tuesday as traders hoped that a meeting next week between President Trump and Xi Jinping of China could ease trade tensions between the two economic powers. The AP reports technology and industrial companies, which would benefit the most from easing trade tensions, rose more than the rest of the market: Apple climbed 2.4% and Caterpillar added 2.4%. The S&P 500 index rose 28 points, or 1%, to 2,917. The Dow added 353 points, or 1.4%, to 26,465. The Nasdaq rose 108 points, or 1.4%, to 7,953. Bond prices rose. The yield on the 10-year Treasury fell to 2.06%. European markets jumped after the head of the European Central Bank said it was ready to cut interest rates if necessary. (More stock market stories.)