Equity markets on Wall Street held largely steady through the Monday session, with swings in oil prices failing to knock stocks from their position. By Tuesday's close, the S&P 500 had advanced 0.3%, leaving the index just 0.7 percentage points below the record level it reached over the summer.

At 10:10 a.m. Eastern, the Dow Jones Industrial Average had shed 135 points — a 0.3% retreat — whereas the Nasdaq composite climbed 0.5% and appeared positioned to close at a fresh all-time high.

Brent crude saw its steepest gyrations of the session during the morning hours, with the benchmark barrel price shifting back and forth across a roughly three-dollar band between $100 and $103. Shares were changing hands at $101.94, reflecting a 0.3% dip. Crude prices have fluctuated amid uncertainty over how an ongoing conflict will affect the timeline for global oil supply to stabilise.

Those dynamics contributed to upward movement in bond-market yields, with the 10-year Treasury note ticking from 5.28% at Friday's close to 5.29%. That figure sits close to a peak not recorded since 2002. Elevated borrowing costs tied to high yields can put pressure on economic activity, and the same conditions tend to reduce the appetite among investors for assets that carry premium valuations.

Upward pressure on yields has also come from robust domestic economic output, with second-quarter growth tied in part to sustained corporate investment in artificial intelligence infrastructure. Household budgets remained under pressure from persistent price increases, yet consumer outlays held steady and continued to underpin broader economic activity.

Data released on Monday painted an uneven picture of where the national economy currently stands. Expansion in real estate, transportation, finance, and related service-sector industries held positive for a 27th consecutive month as of September, according to the report. The expansion came in below the level that forecasters had pencilled in.

The Institute for Supply Management's report additionally noted that input costs — covering both materials and services — rose at an accelerated pace among U.S. service-sector firms, a development that analysts say could feed through to broader consumer prices in the months ahead.

Traders and analysts on Wall Street broadly anticipate that the Federal Reserve will lift its benchmark borrowing rate at least once before the year closes, a move aimed at bringing elevated consumer prices under control. A rate adjustment by the Federal Reserve — its first in three years — took effect over the preceding month, lifting the benchmark lending target by a quarter point.

Two acquisition announcements lent some underlying support to equity markets. Shares of RXO climbed 22.5% on the heels of an acquisition by C.H. Robinson Worldwide. Under the proposed transaction, RXO shareholders would receive $30.25 in cash per share, with Robinson Worldwide set to take over the truck brokerage operation. Shares of C.H. Robinson dropped 11.9%, putting the freight-brokerage company at the bottom of the S&P 500 on the day.

Shares of PTC climbed 34.9% — the steepest advance among index constituents — after Schneider Electric announced a cash offer of $205 per share for the software firm, placing the total transaction value at roughly $22.6 billion.

France's CAC 40 posted a 1.1% drop in overseas trading, placing it among the steeper declines recorded across global exchanges that session. Questions over the French government's debt load and the pressure on its public finances have been building. Tokyo's Nikkei 225 index posted a 2.4% advance, carried higher by buying activity concentrated in technology-sector shares.