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Valuation of pension liabilities in incomplete markets

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  • DE JONG, FRANK

Abstract

This paper discusses the valuation of wage-indexed pension fund liabilities. Valuation by replication with market instruments is typically not possible as there are no wage-indexed assets. This paper discusses several methods to find a value in such incomplete markets and advocates utility-based valuation. This approach implies a simple adjustment on the discount factor that can be used to calculate the value of wage indexed liabilities.

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Bibliographic Info

Article provided by Cambridge University Press in its journal Journal of Pension Economics and Finance.

Volume (Year): 7 (2008)
Issue (Month): 03 (November)
Pages: 277-294

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Handle: RePEc:cup:jpenef:v:7:y:2008:i:03:p:277-294_00

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References

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  1. Basak, Suleyman & Shapiro, Alexander, 2001. "Value-at-Risk-Based Risk Management: Optimal Policies and Asset Prices," Review of Financial Studies, Society for Financial Studies, vol. 14(2), pages 371-405.
  2. Koijen, R.S.J. & Nijman, T.E. & Werker, B.J.M., 2005. "Labor Income and the Demand for Long-term Bonds," Discussion Paper 2005-95, Tilburg University, Center for Economic Research.
  3. Otto van Hemert & Franck de Jong & Joost Driessen, 2005. "Dynamic portfolio and mortgage choice for homeowners," LSE Research Online Documents on Economics 24650, London School of Economics and Political Science, LSE Library.
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  5. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-54, May-June.
  6. HuyËn Pham & Nizar Touzi & Jaksa Cvitanic, 1999. "A closed-form solution to the problem of super-replication under transaction costs," Finance and Stochastics, Springer, vol. 3(1), pages 35-54.
  7. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
  8. Eugene Fama & F. & Kenneth R. French, . "The Equity Premium."," CRSP working papers 522, Center for Research in Security Prices, Graduate School of Business, University of Chicago.
  9. Antonios Sangvinatsos & Jessica A. Wachter, 2003. "Does the Failure of the Expectations Hypothesis Matter for Long-Term Investors," NBER Working Papers 10086, National Bureau of Economic Research, Inc.
  10. Munk, Claus & Sørensen, Carsten, 2010. "Dynamic asset allocation with stochastic income and interest rates," Journal of Financial Economics, Elsevier, vol. 96(3), pages 433-462, June.
  11. Henderson, Vicky, 2005. "Explicit solutions to an optimal portfolio choice problem with stochastic income," Journal of Economic Dynamics and Control, Elsevier, vol. 29(7), pages 1237-1266, July.
  12. Berend Roorda & J. M. Schumacher & Jacob Engwerda, 2005. "Coherent Acceptability Measures In Multiperiod Models," Mathematical Finance, Wiley Blackwell, vol. 15(4), pages 589-612.
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Cited by:
  1. Beetsma, Roel M.W.J. & Bovenberg, A. Lans & Romp, Ward E., 2011. "Funded pensions and intergenerational and international risk sharing in general equilibrium," Journal of International Money and Finance, Elsevier, vol. 30(7), pages 1516-1534.
  2. R. Beetsma & A. L. Bovenberg, 2006. "Pension systems, intergenerational risk sharing and inflation," European Economy - Economic Papers 257, Directorate General Economic and Monetary Affairs (DG ECFIN), European Commission.
  3. Dirk Broeders, 2006. "Valuation of Conditional Pension Liabilities and Guarantees under Sponsor Vulnerabilities," DNB Working Papers 082, Netherlands Central Bank, Research Department.
  4. Willem Heeringa, 2008. "Optimal life cycle investment with pay-as-you-go pension schemes: a portfolio approach," DNB Working Papers 168, Netherlands Central Bank, Research Department.
  5. Hoevenaars, Roy P.M.M. & Ponds, Eduard H.M., 2008. "Valuation of intergenerational transfers in funded collective pension schemes," Insurance: Mathematics and Economics, Elsevier, vol. 42(2), pages 578-593, April.

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