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Markowitz Portfolio Model
Data Target Return Min. Variance Stock 1 Stock 2 Stock 3
Expected Variance-Covariance Matrix 8% 0.004 0.28 0.03 0.69
Return Stock 1 Stock 2 Stock 3 9% 0.007 0.27 0.24 0.49
Stock 1 10% Stock 1 0.025 0.015 -0.002 10% 0.012 0.25 0.45 0.3
Stock 2 12% Stock 2 0.03 0.005 11% 0.02 0.24 0.66 0.11
Stock 3 7% Stock 3 0.004 12% 0.03 0.00 1.00 0.00
Target Return 10%
Model
Variance Calculations
Allocation Squared Terms Cross-Products
Stock 1 0.25 0.001579256 0.003387
Stock 2 0.45 0.006053362 -0.000301067
Stock 3 0.30 0.000358718 0.001345191
Total 1
Return Variance
Portfolio 10.0% 0.012
4. For the Markowitz model in Example 14.10, deter- mine how the minimum variance and stock alloca- tions change as the target return varies between 8% and 12% (in increments of 1%) by re-solving the model. Summarize your results in a table, and create a chart showing the relationship between the target return and the optimal portfolio variance. Explain what the results mean for an investor. 4. For the Markowitz model in Example 14.10, deter- mine how the minimum variance and stock alloca- tions change as the target return varies between 8% and 12% (in increments of 1%) by re-solving the model. Summarize your results in a table, and create a chart showing the relationship between the target return and the optimal portfolio variance. Explain what the results mean for an investor

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