3.) An investor is thinking of purchasing blue-chip stocks as part of his portfolio. At present, he is considering three blue chip stocks: Alpha, Bravo and Charlie. Based on the forecast of economists, there are three possible states of nature in the economy: growth, stagnation, recession, depression. Economists predicted that their respective probabilities are 0.25, 0.35, 0.30 and 0.10. Historical returns for the three blue chip stocks are summarized below: Stock Growth Stagnation Recession Depression Alpha 11% 3% -2% -20% Bravo 20% -1% -5% -3% Charlie 7% 2% 0% -5% (a) Determine the expected return for each stock. (b) Which stock is the riskiest using the standard deviation as a criterion? (c) Which stock is the least risky using the coefficient variation?

Essentials of Economics (MindTap Course List)
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ISBN:9781337091992
Author:N. Gregory Mankiw
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Chapter18: Savings,investment And The Financial System
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3.) An investor is thinking of purchasing blue-chip stocks as part of his portfolio. At
present, he is considering three blue chip stocks: Alpha, Bravo and Charlie.
Based on the forecast of economists, there are three possible states of nature in
the economy: growth, stagnation, recession, depression. Economists predicted
that their respective probabilities are 0.25, 0.35, 0.30 and 0.10. Historical returns
for the three blue chip stocks are summarized below:
Stock
Growth
Stagnation
Recession
Depression
Alpha
11%
3%
-2%
-20%
Bravo
20%
-1%
-5%
-3%
Charlie
7%
2%
0%
-5%
(a) Determine the expected return for each stock.
(b) Which stock is the riskiest using the standard deviation as a criterion?
(c) Which stock is the least risky using the coefficient variation?
Transcribed Image Text:3.) An investor is thinking of purchasing blue-chip stocks as part of his portfolio. At present, he is considering three blue chip stocks: Alpha, Bravo and Charlie. Based on the forecast of economists, there are three possible states of nature in the economy: growth, stagnation, recession, depression. Economists predicted that their respective probabilities are 0.25, 0.35, 0.30 and 0.10. Historical returns for the three blue chip stocks are summarized below: Stock Growth Stagnation Recession Depression Alpha 11% 3% -2% -20% Bravo 20% -1% -5% -3% Charlie 7% 2% 0% -5% (a) Determine the expected return for each stock. (b) Which stock is the riskiest using the standard deviation as a criterion? (c) Which stock is the least risky using the coefficient variation?
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