Please show your work and report the results of your analysis.

A stock has a beta of .9 and an expected return of 9 percent. A risk-free asset currently earns 4 percent.

a. What is the expected return on a portfolio that is equally invested in the two assets?

b. If a portfolio of the two assets has a beta of .5, what are the portfolio weights?

c. If a portfolio of the two assets has an expected return of 8 percent, what is its beta?

d. If a portfolio of the two assets has a beta of 1.80, what are the portfolio weights? How do you interpret the weights for the two assets in this case? Explain.