Consider the following as inputs: The risk-free rate is 4% The expected return to the risky portfolio available to you is 10% The standard deviation of returns to that portfolio is 21% Your client has a risk aversion score, A, of 6 Utility is measured by the standard utility equation on the formula sheet

(1) What is the optimal composition of the complete portfolio for this investor? (2) What are the return and risk characteristics of the complete portfolio? (3) What is the investor's utility with this portfolio? (4) If the investor required a 21% return, how much would you invest in each asset? (5) What if you were not willing to accept a standard deviation greater than 10%? What is the most you can have invested in the risky portfolio?