12. Consider portfolios of three assets: Google stock (stock G), Starbucks stock (stock S), and T-bills (risk-free asset). Assume the single-index model holds, along with the following: AG = = 0.15, as = 0.20 BG = 1.30, Bs = 0.80 o(eg) = 0.20, o(es) = 0.30 E(Rm) = 0.18, o = 0.15 (a) (4 points) Find the expected return and variance of returns for each stock, and the covariance between the stocks. (b) (4 points) Write a formula for the variance of a portfolio of Google and Star- bucks stocks, if Google stock has weight w and Starbucks stock has weight 1 w. (Hint: this should be a quadratic function in w) (c) (4 points) Recall that the minimum of a convex quadratic function is at the point where the derivative is equal to zero. Find the minimum variance port- folio between Google and Starbucks stock. (d) (4 points) What is the expected excess return and standard deviation of excess return to the minimum variance portfolio you found above? (e) (4 points) Will the optimal risky portfolio of Google and Starbucks stock have a higher or lower weight on Google stock than the minimum variance portfolio? Why?