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
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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.
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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