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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