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Optimal investment for a pension fund under inflation risk

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Abstract

This paper investigates an optimal investment problem faced by a defined contribution (DC) pension fund manager under inflationary risk. It is assumed that a representative member of a DC pension plan contributes a fixed share of his salary to the pension fund during the finite time horizon [0, T]. The pension contributions are invested continuously in a risk-free bond, an index bond and a stock. The objective is to maximize the expected utility of terminal value of the pension fund. By solving this investment problem we present a way to deal with the optimization problem, in case there is a (positive) endowment (or contribution), using the martingale method. Copyright Springer-Verlag 2010

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  • Aihua Zhang & Christian-Oliver Ewald, 2010. "Optimal investment for a pension fund under inflation risk," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 71(2), pages 353-369, April.
  • Handle: RePEc:spr:mathme:v:71:y:2010:i:2:p:353-369
    DOI: 10.1007/s00186-009-0294-5
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