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Assume there're three states of the economy: boom, moderate growth, and recession. The annual return on company A stock and company B stock in each state of the economy is given below
A return B return ProbabilityBoom 0.18 0.15 0.15Moderate growth 0.05 0.03 0.45Recession -0.04 -0.02 0.4
(a) Calculate the mean and standard deviation of the annual return on each stock.
(b) Calculate the co-variance and correlation between the annual returns of the two companies.
(c) Suppose you invested 60% of your money in company A and 40% in company B. Find the mean and standard deviation of your portfolio's return.
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