Question
Following is information for the required returns and standard deviations of returns for A, B, and C. Here are the expected returns and standard
Following is information for the required returns and standard deviations of returns for A, B, and C. Here are the expected returns and standard deviations for stocks A, B, and C: Stock ri si A 7.0% 33.11% B 10.0% 53.85% C 20.0% 89.44% Here is the correlation matrix: A B C A 1.0000 0.1571 0.1891 B C 0.1571 1.0000 0.1661 0.1891 0.1661 1.0000 a. Suppose a portfolio has 30 percent invested in A, 50 percent in B, and 20 percent in C. What are the expected return and standard deviation of the portfolio? wA= WB= 30% 50% WC = = 20% Hint: for the portoflio standard deviation, start by creating a table like the one in Section 25-1 for the N-asset case. In fact, begin by creating a table with the products of the weights and standard deviations for each pair of stocks. If you are careful about how you construct the formulas, you can copy them. Then take the results from this intermediate table and multiply them by the correlations above. ABC A wi= si- 30% B 50% C 20% 33.11% 53.85% 89.44% wi x si = Hint: put the wi si wi x si 30% 33% Hint: the val 50% 54% 20% 89% Now multiply the products of wi x six wj x sj by the correlations given above to create a table like the one in Section 3.1. Portfolio variance = Sp= ABC Hint: the val Hint: portfolio variance is the sum of all the values in the table immediately above
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