Figuring Out NPV Question?

jimmy

New member
Hello.

The book gives the definition of NPV as "the difference between the present value of a projec and the present value of its cost."

The formula is:

NPV = PV(benefits) - PV(cost)

The problem:

You run a construction firm. You have just won a contract to build a government office building. Building it will require an investment of $9.8 million today and $4.6 million in one year. The government will pay you $20.0 million in one year upon the building’s completion. Suppose the interest rate is 10.0%

. What is the NPV?
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Essentially, I've found the PV by dividing $20 by 1.10 giving me $18.18.
Then to find the NPV I subtracted $18.18 by the $9.8 million needed to day and got $8.38 NPV.

Is it correct to do this method instead: Subtracting $18.18 by & $14.4 (9.8 + 4.6)?

Please advise. Thanks
 
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