ExxonMobil (NYSE:XOM) Chevron (NYSE:CVX) Shell (NYSE:RDS-A, NYSE:RDS-B) Oil Stocks to Watch: ExxonMobil (XOM) Source: Jonathan Weiss / Shutterstock.com We’ll start with the largest U.S. oil producer, Irving, Texas-based ExxonMobil. In terms of its stock, after a difficult 2020, shares of XOM have risen 51% year-to-date and now trade at just over $62 each. It was an unusual move, but one that Biden took to help lower energy prices as winter arrives and Americans struggle with rising costs due to high inflation.