U.S. equities rallied on Tuesday, sending the S&P 500 above 6,400 for the first time in history. The benchmark advanced about 1.1% after climbing as much as 0.9% intraday, while the Nasdaq Composite and Dow Jones Industrial Average added 1.4% and 1.1%, respectively. The move extends a powerful rebound that has lifted the S&P 500 roughly 33% since its April 2025 low, restoring an estimated $12 trillion to $13.5 trillion in market capitalization. Over the same period, the Nasdaq has surged about 42% and the Dow has gained roughly 18%, underscoring the breadth of the recovery. Traders cited sustained economic optimism and a recently favorable consumer-price reading as drivers of the latest advance, noting that technology and other growth shares continued to lead gains. The fresh milestone leaves the S&P 500 at its strongest level on record heading into the remainder of the third quarter.