Oil prices have been on the rise as OPEC members cut production.
OPEC said this week that its output had been slashed by more than a half million barrels a day last month to just over 30 million barrels, a level not seen since early 2015.
That is largely being driven by the energy powerhouse Saudi Arabia, which last month removed another 324,000 barrels of oil per day from the market.
US crude was selling for nearly US$65 per barrel Friday. But there are signals that global economic growth is slowing.
The acquisition of Anadarko could give Chevron a little more breathing room when crude prices do fall.
With savings the companies plan to book and rising cash flow, Chevron said Friday that it will bump up annual stock buybacks to US$5b, from US$4b a year, once the transaction is complete.
Chevron plans to divest US$15b to US$20b in assets between 2020 and 2022, with proceeds used to lower debt and to return additional cash to shareholders, the company said.
"This transaction builds strength on strength for Chevron," said Chairman and CEO Michael Wirth. "The combination of Anadarko's premier, high-quality assets with our advantaged portfolio strengthens our leading position in the Permian, builds on our deepwater Gulf of Mexico capabilities and will grow our LNG business."
Anadarko shareholders will receive 0.3869 shares of Chevron and US$16.25 in cash for each share they own, or US$65 per share. Chevron will issue about 200 million shares and pay approximately US$8b in cash. It will also assume about US$15b in debt.
Chevron Corp. will keep its headquarters in San Ramon, California. Anadarko Petroleum Corp. is based in The Woodlands, Texas.
The deal is expected to close in the second half of the year. It still needs approval from shareholders of Anadarko Petroleum Corp. and regulators.
Shares of Anadarko jumped 33 per cent Friday, while Chevron's stock fell 5 per cent.