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Shao Industries is considering a proposed project for its capital budget. The company estimates the projects NPV is $12 million. This estimate assumes that the

Shao Industries is considering a proposed project for its capital budget. The company estimates the projects NPV is $12 million. This estimate assumes that the economy and market conditions will be average over the next few years. The companys 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 (millions)
Recession 0.1 ($60)
Below average 0.15 ($25)
Average 0.5 $15
Above average 0.2 $25
Boom 0.05 $32

What is the projects standard deviation?

$26.90
$4.35
$55.80
$3.00
$23.62

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