Question
An investor wants to create a portfolio between 3 different types of stocks that will balance the expected return of the investment with its risk
An investor wants to create a portfolio between 3 different types of stocks that will balance the expected return of the investment with its risk (measured by the variance of the portfolio). Historical returns (as % of the investment) for the last 4 years for each of the three stocks are shown in the following table:
Year 1 | Year 2 | Year 3 | Year 4 | |
Stock A | 15.3 | 12.4 | 11.8 | 13.6 |
Stock B | 8.4 | 8.2 | 9.3 | 10.1 |
Stock C | 10.3 | 8.4 | 11.7 | 12.1 |
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Using Markowitzs mean-variance model, write out the non-linear programming model that would minimize the total risk (variance) while achieving a minimum return of 11%.
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Using Excels Solver (with the GRG non-linear solution algorithm), what is the optimal solution (i.e., what percentage of the investment should be put into each of the three stocks)?
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