# Expected NPV and standard deviation of NPV with real example

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The managers of Merton Medical Clinic are analyzing a proposed project. The project's most likely Net Present Value (NPV) is $120,000, but, as evidenced by the following NPV distribution, there is considerable risk involved:

Probability NPV

0.05 $-700,000

0.2 $-250,000

0.5 $120,000

0.2 $200,000

0.05 $300,000

a. What are the project's expected NPV and standard deviation of NPV?

b. Should the base case analysis use the most likely NPV or expected NPV? Explain your answer.

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##### Solution Summary

The solution guides you to calculate the expected NPV and standard deviation of NPV. Then more details on expected NPV are analyzed in details.

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a. Answer

Expected NPV = - 0.05 *$700,000 - 0.2 *$250,000 + 0.5 *$120,000+ 0.2* $200,000+0.05 *$300,000 ...

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