You plan to invest in the Kish Hedge Fund, which has total capital of $500 million invested in five stocks:
Investment $160 million 120 million 80 million 80 million 60 million Stock's Beta Coefficient 0.5 1.2 1.8 1.0 1.6 Stock
Kish’s beta coefficient can be found as a weighted average of its stocks’ betas. The risk-free rate is 6%, and you believe the following probability distribution
for future market returns is realistic:
a. What is the equation for the Security Market Line (SML)?
b. Calculate Kish’s required rate of return.
c. Suppose Rick Kish, the president, receives a proposal from a company seeking new capital. The amount needed to take a position in the stock is $50 million, it has an expected return of 15%, and its estimated beta is 1.5. Should Kish invest in the new company? At what expected rate of return should Kish be indifferent to purchasing the stock?