rose 35.55 points, or 0.09%, to 42,175.98, the S&P 500 gained 12.06 points, or 0.20%, to 5,898.61, and the
Nasdaq Composite gained 124.46 points, or 0.66%, to 19,134.54.
Eight of the 11 S&P sectors traded lower. Utilities , down 1.4%, were the worst hit.U.S. stocks have been buoyed since the weekend, when the United States and China hit pause on their fierce tariff dispute, signaling a joint effort to stave off a global economic downturn."The biggest fears that the market's been having are the impact of 'Liberation Day' and the tariff propositions that Trump put," said Lara Castleton, U.S. head of portfolio construction and strategy at Janus Henderson.
"The fact that we were able to back down a lot sooner than many people expected and come to a potential agreement with China was a big surprise and a relief for the market."
Data released on Tuesday showed U.S. consumer prices rebounded moderately in April.
U.S. Federal Reserve Vice Chair Philip Jefferson said while recent inflation data pointed to progress towards the Fed's 2% inflation goal, the outlook was now uncertain. Chicago Fed president Austan Goolsbee said the data did not necessarily reflect the impact of rising tariffs.
Fed Chair Jerome Powell is slated to speak on Thursday and his comments will be closely watched for clues on how the central bank plans to proceed with monetary policy easing.
Meanwhile, the S&P 500 has swung back into positive territory for the year for the first time since late February. However, the benchmark index is more than 4% off the record peaks it hit earlier this year.
The 90-day tariff pause announced on April 9 for countries other than China, along with solid earnings reports and a limited U.S.-UK trade agreement last week, helped the benchmark indexes claw back.
American Eagle Outfitters was among the few earnings-related movers, dropping 5.3% after the apparel company withdrew its annual forecasts, citing tariff-fueled economic uncertainty.
Declining issues outnumbered advancers by a 1.61-to-1 ratio on the NYSE, and by a 1.52-to-1 ratio on the Nasdaq.
The S&P 500 posted two new 52-week highs and eight new lows, while the Nasdaq Composite recorded 52 new highs and 71 new lows.
