Question
Financial planner Minnie Margin has a substantial number of clients who wish to own a mutual fund portfolio that matches, as a whole, the performance
Financial planner Minnie Margin has a substantial number of clients who wish to own a mutual fund portfolio that matches, as a whole, the performance of the Russell 2000 index. Her task is to determine what proportion of the portfolio should be invested in each of the five mutual funds listed below so that the portfolio most closely mimics the performance of the Russell 2000 index.
| Annual Returns | ||||
| Year 1 | Year 2 | Year 3 | Year 4 | |
| International Stock | 22.37 | 26.73 | 4.86 | 2.17 |
| Large-Cap Value | 15.48 | 19.64 | 11.50 | -5.25 |
| Mid-Cap Value | 17.42 | 20.07 | -4.97 | -1.69 |
| Small-Cap Growth | 23.18 | 12.36 | 3.25 | 3.81 |
| Short-Term Bond | 9.26 | 8.81 | 6.15 | 4.04 |
| Russell 2000 Index | 20 | 22 | 8 | 2 |
a. Write out the (non-linear) program that would produce a portfolio that most closely mimics the performance of the Russell 2000 Index.
b. Use Excel's Solver with "GRG Non-Linear" as the solution algorithm: what is the optimal solution, i.e., what percentages should be invested in each of the five funds?
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Contemporary Financial Management
Authors: R. Charles Moyer, James R. McGuigan, Ramesh P. Rao
13th edition
1285198840, 978-1285198842
