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Optimal management and inflation protection for defined contribution pension plans

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Author Info

  • Zhang, Aihua
  • Korn, Ralf
  • Ewald, Christian-Oliver

Abstract

Due to the increasing risk of inflation and diminishing pension benefits, insurance companies have started selling in°ation-linked products. Selling such products the insurance company takes over some or all of the inflation risk from their customers. On the other side financial derivatives which are linked to inflation such as inflation linked bonds are traded on financial markets and appear to be of increasing popularity. The insurance company can use these products to hedge its own inflation risk. In this article we study how to optimally manage a pension fund taking positions in a money market account, a stock and an inflation linked bond, while financing investments through a continuous stochastic income stream such as the plan member's contributions. We use the martingale method in order to compute an analytic expression for the optimal strategy and express it in terms of observable market variables.

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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 3300.

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Date of creation: 2007
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Handle: RePEc:pra:mprapa:3300

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Related research

Keywords: Pension mathematics; in°ation; long-term investment; stochastic optimal control; martingale method;

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References

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  1. Griselda Deelstra & Martino Grasselli & Pierre-François Koehl, 2000. "Optimal investment strategies in a CIR framework," ULB Institutional Repository 2013/7594, ULB -- Universite Libre de Bruxelles.
  2. Blake, David & Cairns, Andrew J. G. & Dowd, Kevin, 2001. "Pensionmetrics: stochastic pension plan design and value-at-risk during the accumulation phase," Insurance: Mathematics and Economics, Elsevier, vol. 29(2), pages 187-215, October.
  3. Andrew J. G. Cairns & David Blake & Kevin Dowd, 2004. "Stochastic lifestyling: optimal dynamic asset allocation for defined contribution pension plans," LSE Research Online Documents on Economics 24831, London School of Economics and Political Science, LSE Library.
  4. Paolo BATTOCCHIO & Francesco MENONCIN, 2002. "Optimal Pension Management under Stochastic Interest Rates, Wages, and Inflation," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2002021, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
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Cited by:
  1. Guan, Guohui & Liang, Zongxia, 2014. "Optimal reinsurance and investment strategies for insurer under interest rate and inflation risks," Insurance: Mathematics and Economics, Elsevier, vol. 55(C), pages 105-115.
  2. Aihua Zhang & Christian-Oliver Ewald, 2010. "Optimal investment for a pension fund under inflation risk," Computational Statistics, Springer, vol. 71(2), pages 353-369, April.
  3. Fulli-Lemaire, Nicolas, 2013. "Alternative inflation hedging strategies for ALM," MPRA Paper 43755, University Library of Munich, Germany.
  4. Fulli-Lemaire, Nicolas, 2012. "Alternative Inflation Hedging Portfolio Strategies: Going Forward Under Immoderate Macroeconomics," MPRA Paper 42854, University Library of Munich, Germany.

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