Investor anticipation of potential trade agreement details has resulted in all four major U.S. stock indexes rising on Tuesday. The Dow Jones Industrial Average climbed by 214.16 points, or 0.51%, closing at 42,519.64. The S&P 500 index rose by 0.58% to finish at 5,970.37, while the Nasdaq saw a gain of 0.81%, closing at 19,398.96. The Philadelphia Semiconductor Index surged by 2.72%, ending at 4,964.40.

Nvidia's stock rose by 2.8% to $141.22, pushing its market capitalization to $3.45 trillion, surpassing Microsoft's $3.44 trillion and regaining the title of the world's most valuable company. According to the White House, President Trump may meet with Chinese President Xi Jinping this week to resolve trade disputes between the two major economies.

Additionally, the U.S. Labor Department reported an unexpected increase in job vacancies in April, while the decline in new orders for manufactured products exceeded analysts' expectations. Investors are focused on the employment report for May, which will be released on Friday.

Driven by Nvidia’s stock increase, relevant stocks also rose broadly, with chipmaker Broadcom climbing 3.27% to reach a historic high, as the company announced it has begun shipping the latest AI acceleration network chips. Taiwan Semiconductor's ADR rose by 1.40% to $197.57.