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Consider the following probability distribution and returns of stock Alpha and stock Beta State of Economy Probability Return of stock Alpha (%)…

BBS Fundamentals of Investment · 2082 · Solved Question with Answer

 Consider the following probability distribution and returns of stock Alpha and stock Beta

State of Economy Probability Return of stock Alpha (%) Return of stock Beta (%)
First 0.30 10 25
Second 0.40 20 20
Third 0.30 30 15
  • a. What are the expected returns and standard deviations of Stock Alpha and Stock Beta?

  • b. Which stock would you prefer to invest? Why?

  • c. Calculate correlation coefficient between returns of stock Alpha and Beta.

  • d. If you form a portfolio with investment of your 70 percent funds in stock Alpha and 30 percent funds in stock Beta, calculate the expected portfolio return and risk.

  • e. Suppose risk-free rate is 6 percent, you form a new portfolio investing your 20 percent fund in risk-free assets and 80 percent funds in portfolio constructed in part (d), what would be expected portfolio return and risk in your new portfolio?

Solution

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