It’s called Institut Le Rosey, and is located near Rolle Switzerland. It’s been around since 1880 on the site of a 14th-century Chateu du Rosey near the town of Rolle. It’s one of the oldest boarding schools in Switzerland and one of the most prestigious education institutions in the world. The school also has a SECOND campus in a ski resort village of Gstaad, where the student body moves during the winter months.
As of 2011/2012, the boarding and academic fees are CHF130,000, and with all other expenses, it costs CHF200,000 (or $212,000) and it’s considered the most exclusive boarding school in the world.
Although enrollment is only about 400 students, and has educated many dynastic families in Switzerland. The school has also educated many royalty from around the world, including Shahs from Persia and Princes from Monaco. People like Elizabeth Taylor, John Lennon, Diana Ross and Winston Churchill had kids there.
If you want to know more about the school, check the source.