You have been provided the following summary of the performance of stocks A and B; of the
Question:
You have been provided the following summary of the performance of stocks A and B; of the market index; and the risk free rate.
A | B | Market Index | Risk Free Asset | |
Average annual return | 22% | 14% | 9% | 5% |
Standard deviation of annual returns | 18% | 8% | 4% | |
Correlation coefficient A and B | 0.75 | |||
Correlation coefficient A and Market | 0.35 | |||
Correlation coefficient B and Market | 0.25 |
Answer the followings
a. Which stock is riskier – A or B?
b. Which stock provides a higher reward to risk?
c. What is the lowest risk possible in a portfolio consisting only of A and B? What is the composition of such a portfolio?
d. Can you have a portfolio of only the Market Index and Risk Free Asset such that it has the same risk as the portfolio of A and B above? What would be the expected return of this portfolio?
e. Apply Capital Asset Pricing Model (CAPM) to estimate the expected returns of A and B. Compare it to the actual expected returns to decide if A and B are over or under priced by the stock market.
Corporate Finance Core Principles and Applications
ISBN: 978-0077905200
3rd edition
Authors: Stephen Ross, Randolph Westerfield, Jeffrey Jaffe, Bradford