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Consider the probability distribution of alternative rates of return associated with stock A and B given in the following. State of economy…

BBS Fundamentals of Financial Management · 2079 · Solved Question with Answer

Consider the probability distribution of alternative rates of return associated with stock A and B given in the following.

State of economy Probability Stock A Stock B
1 0.3 -20% 5%
2 0.3 30% 25%
3 0.4 40 30

a. Calculate the expected return and standard deviation of Stock A and Stock B.

b. What are the covariance and correlation coefficient between Stock A and Stock B?

c. If you form a portfolio of Stock A and Stock B comprising 70 percent wealth in Stock A and the rest in Stock B, calculate the risk and return of your portfolio. Are you able to diversify the risk forming the portfolio?
d. Covariance between stock B and market is 140 and standard deviation of market is 9 percent. If risk free rate is 6 percent and market risk premium is also 4 percent, calculate required rate of return on stock B. Is stock B overpriced or underpriced?

Solution

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