Ferrari is planning to take the wraps off a limited edition supercar intended for the U.S. market, but anyone with the $3.6 million to snap up the rare Ferrari car will not be able to get one as the car yet to be introduced is already sold out.

Outgoing Ferrari chief executive Luca di Montezemolo has confirmed that as part of his last public appearance as head of the Prancing Horse at a gala dinner in Los Angeles on Oct. 12, he will unveil a special model Ferrari designed in honor of the sports car maker's 60 years of doing business in the United States.

"To celebrate Ferrari's 60th year in the USA, we have developed a special car of which just 10 examples will be built, in addition to planning a major event in Los Angeles to bring together all our American clients and collectors, and a charity initiative," Montezemolo said last week in a press conference announcing his resignation.

Montezemolo has been at the helm of Ferrari for 23 years. He will be replaced by Fiat Chrysler chief executive Sergio Marchionne when he steps down on Oct. 13.

Not much is known about the new model, except that Ferrari is only making 10 examples, all of which already have their new owners' names on them. The car will also be likely based on the Italian automaker's award-winning F12 Berlinetta, a two-seater rear-wheel-drive coupe that runs on a 6.3-liter V12 Ferrari engine and goes from 0 to 100 kilometers per hour in 3.1 seconds.

The new model will likely have a unique interior and body, and costs around two times the hybrid LaFerrari hypercar, the fastest and most powerful production car ever made by the company. Production of the LaFerrari, which was introduced in 2013 at the Geneva motor show, was capped at 499 for two years.

The rare supercar will also feature a blue-and-white exterior paint scheme to honor the North American Racing Team (NART), which drove Ferraris for two decades from the 1960s to the 1980s. NART joined more than 200 competitions between 1952 and 1982, and its more than 100 drivers, the most famous of whom include Mario Andretti and Phil Hill, competed in Ferraris.

NART was founded in 1958 by Italian race car driver Luigi Chinetti who sailed across the Atlantic to become a race car driver and promote Ferrari in the United States. Chinetti later quit his racing career and became the first American agent of Ferraris.

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