1. (25 points) Ms. Yellen and Mr. Powell each runs a portfolio consisting of two risky assets: stock (S) and gold (G). Information on the two risky assets are given below Asset Exp Rate of Return Std Dev S 15% 20% G 5% 25% The correlation between the two assets is 0. Considering the diversification benefit, Ms. Yellen invests 90% of her portfolio in S and 10% is in G. Mr. Powell however has 50% each in S and G. Suppose that T-bills currently have a rate of return of 2%. Assume that borrowing is also possible at the same risk free rate. (a) Compute the expected rate of return and the standard deviation of Ms. Yellen's portfolio. Do the same for Mr. Powell's portfolio. (b) You are risk averse and you are considering constructing a portfolio consisting of T-bills and one of the two portfolios (Ms. Yellen's or Mr. Powell's). Which of the two portfolios would you choose to include in your portfolio with T-bills? Explain. (c) Your friend is considering the same issue but she is less risk averse than you. Should she arrive at a different conclusion than you? Explain. (d) Suppose that you start your portfolio with $1 million and also your portfolio target expected return is 8% (this is your portfolio of T-bills and the portfolio you chose in answering part (b)), how many dollars will you invest in T-bills? What is your portfolio's risk? Show your work