Suppose Walmart has mean 5% and standard deviation 10%, and Tesla has mean 20%. The risk-free rate is 4%. Investors 1 and 2 have mean-variance utility. (a) Investor 1 is indifferent between Walmart, Tesla, and the risk-free asset. What is her risk aversion? What is the standard deviation of Tesla? (b) Investor 2 is indifferent between Tesla and a 12% risk-free return. Does he prefer Walmart or the risk-free asset? Which investor has the steeper indifference curve at Walmart? (c) Investor 1’s optimal portfolio has mean 16.5% and standard deviation 25%. Investor 2’s optimal portfolio has standard deviation 50%. What is the mean of investor 2’s optimal portfolio?

Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter15: Decision Analysis
Section: Chapter Questions
Problem 25P: Consider a decision maker who is comfortable with an investment decision that has a 50% chance of...
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Suppose Walmart has mean 5% and standard deviation 10%, and Tesla has mean 20%. The risk-free rate is 4%. Investors 1 and 2 have mean-variance utility. (a) Investor 1 is indifferent between Walmart, Tesla, and the risk-free asset. What is her risk aversion? What is the standard deviation of Tesla? (b) Investor 2 is indifferent between Tesla and a 12% risk-free return. Does he prefer Walmart or the risk-free asset? Which investor has the steeper indifference curve at Walmart? (c) Investor 1’s optimal portfolio has mean 16.5% and standard deviation 25%. Investor 2’s optimal portfolio has standard deviation 50%. What is the mean of investor 2’s optimal portfolio?

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