1. Consider an efficient frontier that is described by the function E[RP] = 2% +op -0.05. The minimum variance portfolio is assumed to be given by p = 5%. Consider an investor that has mean-variance preferences given by 10% E[RP] 2 T where the level of risk tolerance is given by T = 5. (a) Find the expected return and variance of the portfolio that the investor will choose for the efficient frontier described above. = Suppose the investor can now lend and borrow at a risk-free rate R = 1%. (b) Find the tangency portfolio of the efficient frontier that all investors will choose to invest in. (c) Consider investors with different risk tolerance levels given by T = {1,5, 10}. Find the optimal portfolios for these investors. How does the level of risk tolerance influence their choice?