Article ID: | iaor200942177 |
Country: | United States |
Volume: | 56 |
Issue: | 4 |
Start Page Number: | 797 |
End Page Number: | 810 |
Publication Date: | Jul 2008 |
Journal: | Operations Research |
Authors: | Geyer Alois, Ziemba William T |
Keywords: | investment, programming: linear, programming: probabilistic |
This paper describes the financial planning model InnoALM we developed at Innovest for the Austrian pension fund of the electronics firm Siemens. The model uses a multiperiod stochastic linear programming framework with a flexible number of time periods of varying length. Uncertainty is modeled using multiperiod discrete probability scenarios for random return and other model parameters. The correlations across asset classes, of bonds, stocks, cash, and other financial instruments, are state dependent using multiple correlation matrices that correspond to differing market conditions. This feature allows InnoALM to anticipate and react to severe as well as normal market conditions. Austrian pension law and policy considerations can be modeled as constraints in the optimization. The concave risk–averse preference function is to maximize the expected present value of terminal wealth at the specified horizon net of expected discounted convex (piecewise–linear) penalty costs for wealth and benchmark targets in each decision period. The model has been used since 2000 for Siemens Austria, Siemens worldwide, and to evaluate possible pension fund regulation changes in Austria.