A person is interested in constructing a portfolio. Two stocks are being considered. Let x= percent return for an investment in stock 1 and y = percent return for an investment in stock 2. The expected return and variance for stock 1 are E[x] = 8.45% and Var[x) = 25. The expected return and variance for stock 2 are E[Y] = 3.2% and Var(y) = 1. The covariance between the returns is σXY = -3. (Hint: in this problem all numbers

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A person is interested in constructing a portfolio. Two stocks are being considered. Let x= percent return for an investment in stock 1 and y = percent return for an investment in stock 2. The expected return and variance for stock 1 are E[x] = 8.45% and Var[x) = 25. The expected return and variance for stock 2 are E[Y] = 3.2% and Var(y) = 1. The covariance between the returns is σXY = -3. (Hint: in this problem all numbers must be altered. Change from percentages to real numbers. So, 8.45 would be 0.0845 and Var(x) = 25 would be Var(x) = 0.25, etc.)

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  1. What is the expected percent return and standard deviation for a person who constructs a portfolio by investing 70% in stock 1 and 30% in stock 2?

  2. Compute the correlation coefficient for x and y and comment on the relationship between the returns for the two stocks.
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