2. Suppose you manage a portfolio of risky assets with an expected return of 10% and a standard deviation of 15%, and the short-term Treasury bond rate is 5%. (1) Suppose your client wants to invest y proportion of his investment in your risky portfolio, and the rest into short-term government bonds. His proposed goal is to obtain the highest expected return under the condition that the standard deviation of the total investment does not exceed 10%. How much do you recommend he put into your risky portfolio? What is his expected rate of return at this point? (2) If your client's risk aversion coefficient is 3, how would you recommend him to allocate his investment funds for optimal utility? What is his expected return and standard deviation at this point?