Adobe Systems Inc., the largest maker of graphic-design software, approved a plan to buy back as much as $2 billion in shares through the end of fiscal 2015.

The company will buy stock in the open market and set up structured repurchase agreements with third parties, San Jose, California-based Adobe said in a statement. The new program, approved by Adobe’s board, is similar to an earlier plan to repurchase $1.6 billion through the end of fiscal 2012.