Question
Suppose that the standard deviation of returns from a typical share is about .45 (or 45%) a year. The correlation between the returns of each
Suppose that the standard deviation of returns from a typical share is about .45 (or 45%) a year. The correlation between the returns of each pair of shares is about .2.
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. (Use decimal values, not percents, in your calculations. Do not round intermediate calculations. Round the "Variance" answers to 6 decimal places. Round the "Standard Deviation" to 3 decimal places.)
No. of | Standard | |
Shares | Variance | Deviation |
1 | ||
2 | ||
3 | ||
4 | ||
5 | ||
6 | ||
7 | ||
8 | ||
9 | ||
10 | ||
b. How large is the underlying market variance that cannot be diversified away? (Do not round intermediate calculations. Round your answer to 3 decimal places.)
Market risk
c. Now 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. (Use decimal values, not percents, in your calculations. Do not round intermediate calculations. Round the "Variance" answers to 6 decimal places. Round the "Standard Deviation" to 3 decimal places.)
No. of | Standard | |
Shares | Variance | Deviation |
1 | ||
2 | ||
3 | ||
4 | ||
5 | ||
6 | ||
7 | ||
8 | ||
9 | ||
10 | ||
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