Question
Here are some historical data on the risk characteristics of Dell and McDonalds: Dell McDonalds (beta) 1.54 0.88 Yearly standard deviation of return (%) 33.10
Here are some historical data on the risk characteristics of Dell and McDonalds:
Dell | McDonalds | |
(beta) | 1.54 | 0.88 |
Yearly standard deviation of return (%) | 33.10 | 16.3 |
Assume the standard deviation of the return on the market was 16%. |
a. | The correlation coefficient of Dells return versus McDonalds is 0.38. What is the standard deviation of a portfolio invested half in Dell and half in McDonalds? (Do not round intermediate calculations. Round your answer to 2 decimal places.) |
Standard deviation: | _____% |
b. | What is the standard deviation of a portfolio invested one-third in Dell, one-third in McDonalds, and one-third in risk-free Treasury bills? (Do not round intermediate calculations. Round your answer to 2 decimal places.) |
Standard deviation: | ______% |
c. | What is the standard deviation if the portfolio is split evenly between Dell and McDonalds and is financed at 50% margin, that is, the investor puts up only 50% of the total amount and borrows the balance from the broker? (Do not round intermediate calculations. Round your answer to 2 decimal places.) |
Standard deviation: | _______% |
d. | What is the approximate standard deviation of a portfolio composed of 100 stocks with betas of 1.54 like Dell? How about 100 stocks like McDonalds? (Hint: Part (d) should not require anything but the simplest arithmetic to answer.) (Round your answers to 2 decimal places.) |
Standard Deviation | |
Dell: | _______% |
McDonalds: | _______% |
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