Pepsi is owned by PepsiCo.
PepsiCo is a multinational food and beverage corporation. It was created in 1965 through the merger of the Pepsi-Cola Company and Frito-Lay, Inc. Therefore, PepsiCo owns the rights to the Pepsi brand and oversees its production, distribution, and marketing.
In essence, Pepsi isn't owned by an individual but by a publicly traded corporation, PepsiCo. They are responsible for the entire Pepsi product line.