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Pierre is considering a portfolio with 50% invested in Stock A and 50% invested in Stock B. These are the expected returns. Economic State Probability

Pierre is considering a portfolio with 50% invested in Stock A and 50% invested in Stock B. These are the expected returns.

Economic State

Probability of State

Return on Stock A

Return on Stock B

Return on Portfolio

Poor

.30

-15%

25%

Fair

.50

10%

5%

Boom

.20

30%

-5%

a. What is the return on the total portfolio?

b. What is the variance and standard deviation of the portfolio?

c. Are the two stocks positively or negatively correlated? Why?

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