Suppose that the standard deviation of returns from a typical share is about 0.45 (or 45%) a year. The correlation between the returns of each pair of shares is about 0.2. 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" answers to 3 decimal places.) No. of Shares Standard Variance Deviation(%) 1 2 3 4 6 7 8 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.) LO

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Suppose that the standard deviation of returns from a typical share is about 0.45 (or 45%) a year. The correlation between the returns
of each pair of shares is about 0.2.
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" answers to 3 decimal places.)
No. of
Shares
Standard
Variance
Deviation(%)
1
2
3
4
6
7
8
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.)
LO
Transcribed Image Text:Suppose that the standard deviation of returns from a typical share is about 0.45 (or 45%) a year. The correlation between the returns of each pair of shares is about 0.2. 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" answers to 3 decimal places.) No. of Shares Standard Variance Deviation(%) 1 2 3 4 6 7 8 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.) LO
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