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You are given the following data on several stocks:
State of the Economy
Probability
Returns in Each State of Economy
Gere Mining
Reubenfeld Films
DeLorean Automotive
Boom
25%
40%
24%
-20%
Expansion
50%
12%
10%
Recession
-12%
a. Calculate the expected return and standard deviation for each stock.
b. Calculate the expected return and standard deviation for a portfolio invested equally in Gere Mining and Reubenfeld Films. How does the standard deviation of this portfolio compare to a simple 50-50 weighted average of the standard deviations of the two stocks?
c. Calculate the expected return and standard deviation for a portfolio invested equally in Gere Mining and DeLorean Automotive. How does the standard deviation of this portfolio compare to a simple 50-50 weighted average of the standard deviations of the two stocks?
d. Explain why your answers regarding the portfolio standard deviations are so different in parts (b) and (c).
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