You manage a risky portfolio with an expected rate of return of 18% and a standard deviation of 28%. The risk-free rate is 8%. a) Your client chooses to invest 70% of a portfolio in your fund and 30% in the risk-free asset. What is the expected value and standard deviation of the rate of return on his portfolio? b) b) Your client's degree of risk aversion is A = 3.5. What proportion of the total investment should be invested in your fund? What is the expected value and standard deviation of the rate of return on your client's optimized portfolio