U.S. stock index futures rose on Tuesday as data showed retail sales increased at their fastest pace in over three years while producer prices rose more than twice as much as expected in August.

* S&P 500 futures rose 2.8 points and were above fair value, a formula that evaluates pricing by taking into account interest rates, dividends and time to expiration on the contract. Dow Jones industrial average futures gained 36 points, and Nasdaq 100 futures were up 6.25 points.

(Reporting by Chuck Mikolajczak; editing by Jeffrey Benkoe)