3. You are given the following information about a portfolio of three alternative securities: Rate of Return in % if State Occurs Stock A Stock B State of Economy Stock Probability of State of Economy Boom 0.30 28 12 18 Normal 0.30 3 9 7 Recession 0.40 -40 5 -22 Select Assume that you have invested 40 percent in both stocks A and B, and 20 percent in stock C. a. Calculate the portfolio rate of return in each state of economy. I b. Calculate the portfolio expected return and standard deviation. Show all your work