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\mathrm{.}05$$$70$ million

Below average $0\mathrm{.}2025$ million

Average $0\mathrm{.}5012$ million

Above average $0\mathrm{.}2020$ million

Boom $0\mathrm{.}0530$ million

What are the project$$s expected NPV$,$ standard deviation, and coefficient of variation?