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Consider three stocks A, B and C costing $100 each. The annual returns on the three stocks have mean $5 and variance $10.
a. Suppose that the returns on the three stocks are i.i.d. Find the means and variance of the returns on Portfolio I, consisting of 3 units of A, and Portfolio II, consisting of 1 units each of A, B and C?
b. Suppose the returns from A and B have a correlation coefficient of -0.8 but they are uncorrelated with returns from C. Find the means and variances of the returns on the two portfolios.
c. Suppose the returns from A, B, and C are perfectly correlated (each pair have a correlation =1). Find the means and variances of the returns on the two portfolios. Is there any benefit to diversification in this case?
Mean Absolute Deviation To avoid the problem of positive and negative deviations canceling out each other, we can use the Mean Absolute Deviation which is given by
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