1 Scenario AnalysisShao Industries is considering a proposed project for its capital budget. Thecompany estimates the project’s NPV is $12 million. This estimate assumesthat the economy and market conditions will be average over the next fewyears. The company’s CFO, however, forecasts there is only a 50% chancethat the economy will be average. Recognizing this uncertainty, she has alsoperformed the following scenario analysis: Economic Scenario               Probability of Outcome       NPVRecession                                      0.05                           -$70 millionBelow average                              0.20                            -25 millionAverage                                         0.50                              12 millionAbove average                              0.20                             20 millionBoom                                            0.05                              30 millionWhat are the project’s expected NPV, standard deviation, and coefficient ofvariation?

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Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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1 Scenario Analysis
Shao Industries is considering a proposed project for its capital budget. The
company estimates the project’s NPV is $12 million. This estimate assumes
that the economy and market conditions will be average over the next few
years. The company’s CFO, however, forecasts there is only a 50% chance
that the economy will be average. Recognizing this uncertainty, she has also
performed the following scenario analysis:

Economic Scenario               Probability of Outcome       NPV
Recession                                      0.05                           -$70 million
Below average                              0.20                            -25 million
Average                                         0.50                              12 million
Above average                              0.20                             20 million
Boom                                            0.05                              30 million
What are the project’s expected NPV, standard deviation, and coefficient of
variation?

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