Question: The two assets, X and Y, whose returns are shown in the multivariate distribution to the right, have the following expected returns, variances, covariance, and
The two assets, X and Y, whose returns are shown in the multivariate distribution to the right, have the following expected returns, variances, covariance, and correlation: mX = 13.00%; mY = 12.50%; sX = 3.317%; sY = 2.500%; Cov(X,Y) = -.0004; rXY = -.45.
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| Y1 | Y2 | P(X=xi) | ||
| 10% | 15% | |||
| X1 | 5% | .1 | 0 | .1 |
| X2 | 10% | 0 | .2 | .2 |
| X3 | 15% | .4 | .3 | .7 |
| P(Y=yi) | .5 | .5 |
a. What is the expected return of a portfolio that is 50% Asset X and 50% Asset Y?
What is the standard deviation of a portfolio that is 50% Asset X and 50% Asset Y?
b. What is the expected return of a portfolio that is 75% Asset X and 25% Asset Y?
What is the standard deviation of a portfolio that is 75% Asset X and 25% Asset Y?
c. Which of the preceding portfolios ((a) or (b)) is better? Why?
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