Research Article
Linear Programming and Its Application Techniques in Optimizing Portfolio Selection of a Firm
Table 2
The simplex method and MATLAB solution in finding the optimal investment in a portfolio mix for the firm.
| Basis | | | | | | | | | Chk. | MATLAB solution ($) | 0.12 | 0.17 | 0.17 | 0.13 | 0.21 | 0.10 | 0.10 | 0 | 1.00 |
| Fixed deposit | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 15 | 22 | 2,674,300 | Treasury bill | 0.8 | -0.2 | -0.2 | -0.2 | -0.2 | 0.2 | 0.2 | 0 | 0.4 | 2,554,800 | Crude oil | 0.2 | -0.8 | 0.2 | 0.2 | 0.2 | 0.2 | 0.2 | 0 | 0.4 | 1,974,800 | Mortgage | 0.2 | 0.2 | -0.8 | 0.2 | 0.2 | 0.2 | 0.2 | 0 | 0.4 | 813,480 | Construction | 0.2 | 0.2 | 0.2 | -0.8 | 0.2 | 0.2 | 0.2 | 0 | 0.4 | 2,407,320 | Cash crops | 0.2 | 0.2 | 0.2 | 0.2 | -0.8 | 0.2 | 0.2 | 0 | 0.4 | 2,674,800 | Cert. deposit | 0.2 | 0.2 | 0.2 | 0.2 | 0.2 | -0.8 | 0.2 | 0 | 0.4 | 1,900,500 | Tot. investment | 0.2 | 0.2 | 0.2 | 0.2 | 0.2 | 0.2 | -0.8 | 0 | 0.4 | | 15% investment | 0.8 | 0.2 | 0.2 | 0.2 | -0.2 | -0.2 | 0.9 | 0 | 1.8 | | 20% deposit | 0.8 | 0.2 | -0.8 | 0.2 | 0.2 | -0.8 | 0.2 | 0 | 0.0 | | 25% cash crop | 0.8 | 0.3 | -0.8 | 0.3 | 0.3 | 0.8 | -0.8 | 0 | 0.8 | | 40% treasury and construction | 0.6 | 0.4 | -0.6 | 0.4 | -0.6 | 0.6 | 0.4 | 0 | 1.2 | | Max. return | | | | | | | | | | 2,553,096 |
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