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1. The two-asset case Aa Aa The expected return for asset A is 8.75% with a standard deviation of 4.00%, and the expected return for asset B is 4.50% with a standard deviation of 10.00%. Based on your knowledge of efficient portfolios, fill in the blanks in the following table with the appropriate answers Proportion of Portfolio in Security A Proportion of Portfolio in Security B Expected Portfolio Return Standard Deviation Op (%) Case II (PAB-0.5) (PAB0.3) (PAB-0.8) 4.0 Case I Case III 1.00 0.75 0.50 0.25 0.00 0.00 0.25 0.50 0.75 1.00 8.75% 7.69% 2.8 5.2 5.9 7.9 10.0 6.7 5.56% 7.1 4.50% 10.0 10.0 The minimum risk portfolio allocation to asset A within the portfolio for case III is better off . Therefore, you are

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Expected return of portfolio=(wt of A* return on A)+(wt on B*return on B)
std of portfolio=((wt of A^2*std of A^2)+(wt of B^2*std of B^2)+(2*wt of a*wt of B*corr(A,B)* std A*std B))^0.5

8.75% 4.50% std A std D 45 10% Ra Rb case 1 Case 2 Case 3 Wa Rp 0.75 0.5 0.25 0 0.25 0.5 0.75 1 8.75% 7.69% 6.63% 5.56% 4.50% 4.0% 2.8% 4.4% 7.1% 10.0% 4.0% 4.4% 5.9% 7.9% 10.0% 4.0% 5.2% 6.7% 8.3% 10.0% · 1 Ra 00875 2 R 0.045 std A std P 0.04 Case 2 Case 3 pati-0.8 12

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