Adam Joe is a portfolio manager and has the information on the investments in the table below. A, B, and C are individual risky securities. M is the market portfolio. Risk-free rate is 4%. All returns are annual returns. Investment A B C M Expected Return 24.42% 29.86% 16.64% 18% Standard Deviation 30% 37% 22% 12% A 1 Correlation B 0.8171 1 C 0.8591 0.5528 1 M 0.5833 0.5991 0.4924 1 a. What is the covariance of Asset A with the market portfolio? (1 mark) b. Calculate the beta of Asset A and B. (2 marks) c. How will you divide your money between Asset A and Asset B if your aim is to achieve a portfolio with an expected return of 25% p.a.? What is the standard deviation of this portfolio? What is the systematic risk of this portfolio? (5 marks) d. How will you divide your money between the risk-free asset and the market portfolio if you are willing to bear a standard deviation of 15% p.a. for your portfolio? What is the expected return of this portfolio? (2 marks) e. Does any of the portfolios in parts (c) and (d) dominate the other? (2 marks)