Consider the following statement to answer Questions i-iv: You manage a risky portfolio with an expected rate of return of 17% and a standard deviation of27%. The Treasury-bill rate is 7%. (i) One of your clients chooses to invest 70% of a portfolio in your fund and 30% in a T-bill moneymarket fund. What is the expected value and standard deviation of the rate of return on yourclients portfolio?(2 marks) (ii) Suppose that your client decides to invest in your portfolio a proportion y of the total investmentbudget so that the overall portfolio will have an expected rate of return of 15%. (a) What is the proportion y? (Hint: Use CAPM formula) (b) Further suppose that your risky portfolio includes the following investments in the givenproportions: Stock A (27%), Stock B (33%), and Stock C (40%). What are your clientsinvestment proportions in your three stocks and the T-bill fund?(2 marks) (iii) Now suppose that your client prefers to invest in your fund a proportion ythat maximizes theexpected return on the overall portfolio subject to the constraint that the overall portfoliosstandard deviation will not exceed 20%. (a) What is the investment proportion, y? (b) What is the expected rate of return on the overall portfolio?(2 marks) (iv) Suppose that your clients degree of risk aversion is A = 3.5. What proportion, y, of the totalinvestment should you suggest that he invest in your fund?(2 marks) (v) The market price of a security is $40. Its expected rate of return is 13%. The risk- free rate is 7%and the market risk premium is 8%. What will be the market price of the security if itscovariance with the market portfolio doubles (and all other variables remain unchanged)?Assume that the stock is expected to pay a constant dividend in perpetuity.(2 marks) QUESTION 2: OMEGA Currently Omega Corporations shares are selling at $60 per share and company is paying $5 per share dividend. Dividends are expected to grow at an annual rate of 3% for foreseeable future. Required rate of return for investors is 12% At the same time, Heller Corporations shares are selling at $58 per share and company is paying $4 per share dividend. Dividends are expected to grow at an annual rate of 5% for foreseeable future. Required rate of return for investors is 12% a) Calculate the current value of each stock on the basis of Dividend Discount Model. b) On the basis of above calculation, determine either each stock is overvalued or undervalued. (5 marks)