Show and write all steps for each question for full credits. I. (30 points) Suppose that the rate of returns on Stock A and Stock B are projected based on economic outlook next year in Table helow Further suppose that you have $100,000 for investments. Diversification is important in investing. Therefore, you divide equally the investment money into two stocks: Stock A and Stock B. Based on this setup, compute the expected returns on the portfolio of Stock A and Stock B (15 points). Compute your portfolio risk (15 points). Use the following formulae. rA(expectedvalueofstockA)=(rABad)PBad+(rAGood)PGoodpf2=WA2A2+WB2B2+2WAWBCov(A,B)Cov(A,B)=(rABadrA)(rBBadrB)PBad+(rAGoodrA)(rBGoodrB)PGood Where WA= the weight of your investment in Stock A; rA= the expected return on Stock A; pf2 is the variance of the portfolio of Stock A and Stock B; A is the standard deviation of returns on Stock A. A2 is the variance of returns on Stock A; PBad is the probability of "bad" economic condition in the future. rAGood is the expected return on Stock A if the economic condition is good in the future. Similar letter notations were applied to Stock B