Reference no: EM133056626

You have the following information about the returns on three risky assets over the next year:

Asset Expected return Standard deviation Correlation coefficient X Y Z

X - 20% - 40% 1 - 0.4 - 0
Y - 24% - 50% 0.4 - 1 - 0.1
Z - 4% - 12% 0 - 0.1 - 1

a. Determine the minimum-variance portfolio of the three assets. Do the portfolio weights seem reasonable given the inputs? Compute the expected return and the standard deviation of the return on the minimum-variance portfolio.

In addition to the three risky assets, you can also invest in a risk-free asset with a return of rf = 3%.

b. Compute the Sharpe ratios of the three assets.

c. Construct a (standard deviation, expected return)-diagram in which you plot the minimum-variance portfolio, the three assets, and the risk-free asset.