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Consider the return behavior of the following two stocks: State of economy probability of state return on stock A return on stock B Recession .25

Consider the return behavior of the following two stocks:

State of economy probability of state return on stock A return on stock B
Recession .25 -4% 6%
Normal .50 9% 8%
Boom .25 15% 10%

a. Calculate the expected return and standard deviation of Stock A and Stock B.

b. Calculate the correlation coefficient between Stock A and Stock B

c. Suppose an investor formed a portfolio by placing $1,000 in Stock A and $1,000 in Stock B, calculate the expected return and standard deviation of this portfolio.

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