Question regarding Net Present Value

Hi All,

Can you please assist me in addressing this sample PMP exam question regarding Net Present Value (i.e. what is the key formula to solving)?

Thank you!
Justin

A company has to make a choice between two projects, because the available resources in money and kind are not sufficient to run both at the same time. Each project would take 9 months and would cost $250,000.

The first project is a process optimization which would result in a cost reduction of $120,000 per year. This benefit would be achieved immediately after the end of the project.

The second project would be the development of a new product which could produce the following net profits after the end of the project:

1. year: $ 15,000
2. year: $ 125,000
3. year: $ 220,000

Assumed is a discount rate of 5% per year. Looking at the present values of the benefits of these projects in the first 3 years, what is true?

Both projects are equally attractive.
The first project is more attractive by app. 7%.
The second project is more attractive by app. 5%.
The first project is more attractive by app. 3%. (correct answer)

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