Here are some historical data on the risk characteristics of Ford and Harley Davidson. Ford Harley Davidson β (beta) 1.43 0.75 Yearly standard deviation of return (%) 33.3 16.9 Assume the standard deviation of the return on the market was 12.0%. a. The correlation coefficient of Ford’s return versus Harley Davidson is 0.38. What is the standard deviation of a portfolio invested half in each share? b. What is the standard deviation of a portfolio invested one-third in Ford, one-third in Harley Davidson, and one-third in risk-free Treasury bills? c. What is the standard deviation if the portfolio is split evenly between Ford and Harley Davidson 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? d-1. What is the approximate standard deviation of a portfolio composed of 100 stocks with betas of 1.43 like Ford? d-2. What is the approximate standard deviation of a portfolio composed of 100 stocks with betas of 0.75 like Harley Davidson?
Here are some historical data on the risk characteristics of Ford and Harley Davidson.
| Ford | Harley Davidson | |
| β (beta) | 1.43 | 0.75 |
| Yearly standard deviation of return (%) | 33.3 | 16.9 |
Assume the standard deviation of the return on the market was 12.0%.
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a. The correlation coefficient of Ford’s return versus Harley Davidson is 0.38. What is the standard deviation of a portfolio invested half in each share?
b. What is the standard deviation of a portfolio invested one-third in Ford, one-third in Harley Davidson, and one-third in risk-free Treasury bills?
c. What is the standard deviation if the portfolio is split evenly between Ford and Harley Davidson 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?
d-1. What is the approximate standard deviation of a portfolio composed of 100 stocks with betas of 1.43 like Ford?
d-2. What is the approximate standard deviation of a portfolio composed of 100 stocks with betas of 0.75 like Harley Davidson? (For all requirements, use decimals, not percent, in your calculations. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.)
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