(a). ABC's stock has a 50% chance of producing a 35% return, a 30% chance of producing a 10% return, and a 20% chance of producing a 28% return. What is ABC's expected return and standard deviation?
(b). XYZ's stock had a required return of 11.50% last year, when the risk-free rate was 5.50% and the market risk premium was 4.75%. Now suppose there is a shift in investor risk aversion, and the market risk premium increases by 2%. The risk-free rate and XYZ's beta remain unchanged. What is XYZ's new required return? (Hint: First calculate the beta, then find the required return.)
(c).Consider the following information and then calculate the required rate of return for the Scientific Investment Fund, which holds 4 stocks. The market's required rate of return is 15.0%, the risk-free rate is 7.0%, and the Fund's assets are as follows:
Stock Investment Beta
A K200,000 1.5
B 300,000 0.50
C 500,000 1.25
D 1,000,000 0.75