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7. [20 points] Suppose Rice Energy wants to build a platform to extract oil in the Gulf of Mexico. This will involve an initial investment of $4 billion (1 =0). The platform will start operations after one year (t = 1). It is expected to last for five years and have a salvage value at the end of the period of $640 million (1 =5). The platform will extract 100,000,000 crude oil barrels a year. The firm anticipates that in the first year the price of one oil barrel is $65, and thereafter the price is expected to increase by 4% a year. Raw materials to extract each barrel are forecasted to cost $18 in the first year and these costs are predicted to increase by 3% annually. Total labor costs for the platform are expected to be $1.1 billion in the first year and thereafter will increase by 7% a year. The permits to operate the platform cost $300 million a year payable at the beginning of each year. The discount rate for this type of project is 12%. Assume all cash flows occur at the end of each year except where otherwise stated. What is the NPV of the project? Should Rice Energy do the project? Why