Chevron-Exxon Faceoff Hinges on Growth Ambitions; Darren Woods' oil titan has opened up a market-value lead of $178 billion, and it's all down to low-cost production. Kevin Crowley – Bloomberg Chevron Corp. will look to bounce back from a tough year when it reports first-quarter earnings Friday. But for the stock, arguably more important is what happens 15 minutes later, when Exxon Mobil Corp. publishes its own results. The two US behemoths are always highly competitive, but the rivalry has ratcheted up to an unprecedented degree this year, with Exxon taking Chevron to arbitration over the latter's acquisition of Hess Corp. and its entry into a massive project off Guyana. /jlne.ws/3Uba4aI