Question
The following table provides information on two risky stocks that you think, given some special information, are good investments. Stock Expected Return SD A 0.15
The following table provides information on two risky stocks that you think, given some special information, are good investments.
Stock | Expected Return | SD |
A | 0.15 | 0.23 |
B | 0.20 | 0.18 |
The covariance between these two stocks is -.001. The expected return on the market is .15 with a standard deviation of .15. The risk-free rate is .03. You can borrow and lend at this risk-free rate.
You have $1,000,000 to invest. Some of this you may put in risk free T-bills (with a return of 3%), with the remainder invested in a portfolio of the two stocks above. Consider a portfolio that has 50 percent of the amount you put at risk in Stock A and 50 percent in Stock B. Call the portfolio that consists of Stock A and Stock B your risky portfolio. For this risky portfolio, answer the following question.
You have estimated a market model (a regression of the return on each individual security in excess of the risk-free rate on the return on the market in excess of the risk-free rate) and you have obtained the following estimates of the market betas of each of the above securities.
Stock | Market Beta |
A | 0.80 |
B | 1.2 |
According to CAPM, what should the expected returns on each of the two stocks equal?
Does this explain why you prefer one portfolio over the other? Why or why not?
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