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The table shows predicted returns of three stocks in two possible scenarios: State of Economy Probability Stock A Stock B Stock C Bad 0.3 -0.15

The table shows predicted returns of three stocks in two possible scenarios:

State of Economy Probability Stock A Stock B Stock C
Bad 0.3 -0.15 -0.1 0.35
Good 0.7 0.2 0.05 0.0

a) What are the covariance and the corresponding correlation coefficient between stocks A and C?

b) Suppose you only have stock A in your portfolio and now are considering adding stock B or stock C to your portfolio. Which stock (B or C) do you think would provide better diversification effect if you include it in your portfolio with stock A?

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