Question: Suppose that the standard deviation of returns from a typical share is about 0.46 (or 46%) a year. The correlation between the returns of each
| Suppose that the standard deviation of returns from a typical share is about 0.46 (or 46%) a year. The correlation between the returns of each pair of shares is about 0.4. |
| a. | Calculate the variance and standard deviation of the returns on a portfolio that has equal investments in 2 shares, 3 shares, and so on, up to 10 shares. (Do not round intermediate calculations. Enter "Variance"as a decimal rounded to 6 places and "Standard Deviation" to 3 places.) |
| No. of |
| Standard |
| Shares | Variance | Deviation (%) |
| 1 |
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| 2 |
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| 3 |
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| 10 |
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| b. | How large is the underlying market variance that cannot be diversified away? (Do not round intermediate calculations. Enter your answer as a decimal rounded to 3 places.) |
| Market risk |
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| c. | Assume that the correlation between each pair of stocks is zero. Calculate the variance and standard deviation of the returns on a portfolio that has equal investments in 2 shares, 3 shares, and so on, up to 10 shares. (Do not round intermediate calculations. Enter "Variance" as a decimal rounded to 6 places and "Standard Deviation" to 3 places.) |
| No. of |
| Standard |
| Shares | Variance | Deviation (%) |
| 1 |
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| 2 |
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| 3 |
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| 4 |
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| 5 |
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| 6 |
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| 7 |
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| 8 |
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| 9 |
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| 10 |
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