Investors lifted the Dow by 875 points to 51,562 as optimism over a potential Lebanon ceasefire buoyed risk‑on sentiment. The S&P 500 added 0.4%, while the Nasdaq slipped modestly on weakness in chip‑related stocks. The rally narrowed the Dow’s gap with the S&P, marking the market’s strongest one‑day gain in weeks and reviving equity appetite.

Healthcare heavyweight UnitedHealth propelled the Dow, jumping more than 5% after Bank of America upgraded the stock to a buy, citing improving medical‑cost trends. Goldman Sachs followed with a 5% rise, lifting financials. The upgrade also lifted health‑care ETFs, reinforcing the sector’s defensive appeal amid lingering geopolitical risk.

Broadcom stuck with its $100 billion AI‑chip sales goal for next year, wiping out nearly $300 billion in market value as investors demanded a higher target. Strong second‑quarter numbers couldn’t stop a 13% drop. Ciena beat estimates yet fell 14% after a swift rally, reflecting AI‑related volatility. Analysts caution that without clearer volume growth, Broadcom’s valuation may stay under pressure.

The mixed performance underscores how sector‑specific news can sway broad indices. While the Dow’s jump reflects geopolitical optimism and health‑care upgrades, lagging chip stocks kept the Nasdaq from joining the rally. Investors appear ready to reward earnings strength but remain wary of AI‑chip growth trajectories.