The Rocket Investment Fund, in which you plan to invest some money, has total capital of $500 million invested in five stocks: Stock A Investment ($) Stock's Beta Coefficient 160 million 0.5 B 120 million 2.0 80 million D 80 million 4.0 1.0 3.0 E 60 million The beta coefficient for a fund like Rocket Investment can be found as a weighted average of the find's investments. The current risk-free rate is 6 percent, whereas market returns have the following estimated probability distribution for the next period: Probability of outcomes Market retum (%) 0.1 0.2 9 0.4 11 0.2 13 0.1 15 Required: a) What is the estimated equation for the security market line (SML)? (3 marks) b) Calculate the fund's required rate of return for the next period. (3 marks) c) Suppose Mr. Lee, the president, receives a proposal for a new stock. The investment needed to take a position in the stock is $50 million, it will have an expected retum of 15 percent, and its estimated beta coefficient is 2.0. Should the new stock be purchase? At what expected rate of return should the fund be indifferent to purchasing the stock? (2 marks) d) If a company's beta were to double, would its expected retum double? (2 marks)