Question
Assume you wish to evaluate the risk and return behaviors associated with various combinations of assets V and W under three assumed degrees of correlation:
Assume you wish to evaluate the risk and return behaviors associated with various combinations of assets V and W under three assumed degrees of correlation: perfect positive, uncorrelated, and perfect negative. The following average return and risk values were calculated for these assets:
Asset | Average Return, r | Risk (Standard Deviation), s |
| ||
V | 7.9% | 4.6% | |||
W | 12.7% | 9.7% |
a. If the returns of assets V and W are perfectly positively correlated (correlation coefficient = + 1), describe the range of (1) return and (2) risk 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) return and (2) risk 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) return and (2) risk associated with all possible portfolio combinations.
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