1. You are considering investing $2,300 in a complete portfolio. The complete portfolio is composed of Treasury bills that pay 4% and a risky portfolio, P, constructed with two risky securities, X and Y. The optimal weights of X and Y in P are 60% and 40% respectively. X has an expected rate of return of 14%, and Y has an expected rate of return of 12%. To form a complete portfolio with an expected rate of return of 8%, you should invest approximately in the risky portfolio. This will mean you will also invest approximately and of your complete portfolio in security X and Y, respectively. 43%;26%;17%50%;30%;20%0%;60%;40%26%;46%;28% An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 15% and a standard deviation of return of 20.0%. Stock B has an expected return of 11% and a standard deviation of return of 5%. The correlation coefficient between the returns of A and B is 0.50 . The riskfree rate of return is 7%. What is the proportion of the optimal risky portfolio that should be invested in stock A? Show all your work