1) Suppose that you are a fund manager who manages a risky portfolio with an expected return of 11% and a standard deviation of 23%. The risk-free rate (T-bill rate) is 3%. Suppose that you have a client that prefers to invest in your risky portfolio a proportion “y” of his total investment budget and invest “1-y” of his total budget in T-bills so that his overall portfolio will have an expected return of 7%.
a. What is the investment proportion y? (in percent without "%" symbol; for example, if your answer is 30%, just type 30.)
2) Suppose that you are a fund manager who manages a risky portfolio with an expected return of 11% and a standard deviation of 23%. The risk-free rate (T-bill rate) is 3%. Suppose that you have a client that prefers to invest in your risky portfolio a proportion “y” of his total investment budget and invest “1-y” of his total budget in T-bills so that his overall portfolio will have an expected return of 7%.
b. What is the standard deviation of the return on your client’s portfolio? (in percent without "%" symbol; for example, if your answer is 30%, just type 30.)