Matt Peters wishes to evaluate the risk and return behaviors associated with various combinations of assets V and W under three assumed degrees of correlation: perfectly positive, uncorrelated, and perfectly negative. The expected return and standard deviations calculated for each of the assets are shown in the following table: Asset Expected return, r Standard deviation), σ V 9% 14 W 11% 20% If the returns of assets V and W are perfectly positively correlated (correlation coefficient=+1), describe the range of (1) expected return and (2) standard deviation associated with all possible portfolio combinations. b. If the returns of assets V and W are uncorrelated (correlation coefficient=0), describe the approximate range of (1) expected return and (2) standard deviation associated with all possible portfolio combinations. c. If the returns of assets V and W are perfectly negatively correlated (correlation coefficient=−1), describe the range of (1) expected return and (2) standard deviation associated with all possible portfolio combinations.
Matt Peters wishes to evaluate the risk and return behaviors associated with various combinations of assets V and W under three assumed degrees of correlation: perfectly positive, uncorrelated, and perfectly negative. The expected return and standard deviations calculated for each of the assets are shown in the following table: Asset Expected return, r Standard deviation), σ V 9% 14 W 11% 20% If the returns of assets V and W are perfectly positively correlated (correlation coefficient=+1), describe the range of (1) expected return and (2) standard deviation associated with all possible portfolio combinations. b. If the returns of assets V and W are uncorrelated (correlation coefficient=0), describe the approximate range of (1) expected return and (2) standard deviation associated with all possible portfolio combinations. c. If the returns of assets V and W are perfectly negatively correlated (correlation coefficient=−1), describe the range of (1) expected return and (2) standard deviation associated with all possible portfolio combinations.
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
Section: Chapter Questions
Problem 1PS
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Matt Peters wishes to evaluate the risk and return behaviors associated with various combinations of assets V and W under three assumed degrees of correlation: perfectly positive, uncorrelated, and perfectly negative. The expected return and standard deviations calculated for each of the assets are shown in the following table:
Asset
|
Expected return, r
|
Standard deviation), σ
|
||
V
|
9%
|
14 |
|
|
W
|
11%
|
20% |
If the returns of assets V and W are perfectly positively correlated (correlation
coefficient=+1), describe the range of (1) expected return and (2) standard deviation associated with all possible portfolio combinations.
b. If the returns of assets V and W are uncorrelated (correlation coefficient=0),
describe the approximate range of (1) expected return and (2) standard deviation associated with all possible portfolio combinations.
describe the approximate range of (1) expected return and (2) standard deviation associated with all possible portfolio combinations.
c. If the returns of assets V and W are perfectly negatively correlated (correlation
coefficient=−1), describe the range of (1) expected return and (2) standard deviation associated with all possible portfolio combinations.
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