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28. after some study of the economy, your forecast for next year is that a boom economy has a 30% chance of occurring, a neutral

28. after some study of the economy, your forecast for next year is that a boom economy has a 30% chance of occurring, a neutral economy 50%, and a bust economy a 20% chance of occurring. You also estimate that a certain stock would have a return of 32% in a boom economy next year, 17% in a neutral economy , and -13% in a bust economy. The risk-free rate is 4.7%. What is the standard deviation of expected returns for this stock next year? (Answer to the nearest tenth of a percent, but do not use a percent sign).

Probability

Return

Boom Economy

30%

32%

Neutral Economy

50%

17%

Bust Economy

20%

-13%

Risk-Free Rate = 4.7%

27. After studying the economy, you forecast that there is a 70% chance of a good economy next year and a 30% chance of a poor economy. If the economy is good, you estimate that a stock you have been following would have a 12% return. Likewise, if the economy is poor, you estimate a -16% return for that same stock. The risk-free rate is 4.5%. What is the standard deviation of the expected returns for this stock? (Answer to the nearest tenth of a percent, but do not use a percent sign).

Probability

Return

Good Economy

70%

12%

Poor Economy

30%

-16%

Risk-Free Rate = 4.5

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