The U.S. stock market is holding tentatively around its record heights Monday, while oil prices climb with uncertainty about when oil tankers can resume crossing the Strait of Hormuz and restore the world's flow of crude. Dueling claims about a possible Iranian strike on a U.S. Navy vessel in the strait heightened the tensions.

The S&P 500 rose 0.1%, coming off its latest all-time high. The Dow Jones Industrial Average was down 76 points, or 0.2%, as of 10:30 a.m. Eastern time, and the Nasdaq composite was 0.1% higher.