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In: Statistics and Probability

You are trying to develop a strategy for investing in two different stocks. The anticipated annual...

You are trying to develop a strategy for investing in two different stocks. The anticipated annual return for a​ $1,000 investment in each stock under four different economic conditions has the probability distribution shown to the right. Complete parts​ (a) through​ (c) below.

RETURNS

PROBABILITY ECONOMIC CONDITION STOCK X STOCK Y

0.1 Recession -50 -170

0.3 Slow Growth 30 40

0.4 Moderate Growth 90 150

0.2 Fast Growth 160 200

(1)    Compute the expected return for stock X and for stock Y.

(2)   Compute the standard deviation for stock X and for stock Y.

(3)    If the correlation between X and Y is 0.98, compute the mean and the standard deviation of a simple portfolio with 50% of the initial investment in Stock X and 50% of the initial investment in Stock Y.

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