4- You manage a risky portfolio with an expected rate of return of 18% and a standard deviation of 28%. The T-bill rate is 8%. (6 Points) a. Your client chooses to invest 70% of a portfolio in your fund and 30% in an essentially risk-free money market fund. What are the expected value and standard deviation of the rate of return on his portfolio? Suppose that your risky portfolio includes the following investments in the given proportions: b. What are the investment proportions of your client's overall portfolio, including the position in T-bills? c. What is the reward-to-volatility (Sharpe) ratio (S) of your risky portfolio? Your client's? d. Draw the CAL of your portfolio on an expected retum-standard deviation diagram. What is the slope of the CAL? Show the position of your client on your fund's CAL. e. Suppose that your client decides to invest in your portfolio a proportion y of the total investment budget so that the overall portfolio will have an expected rate of return of 16%. What is the proportion y ? e.l. What are your client's investment proportions in your three stocks and the T-bill fund