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Valuation of intergenerational transfers in funded collective pension schemes

  • Hoevenaars, Roy P.M.M.
  • Ponds, Eduard H.M.

This paper applies contingent claim analysis to value pension contracts for real-life collective pension plans with intergenerational risk sharing and offering DB-like benefits. We rewrite the balance sheet of such a pension fund as an aggregate of embedded generational options. This implies that a pension fund is a zero-sum game in value terms, so any policy change inevitably leads to value transfers between generations. We explore intergenerational value transfers that may arise from a plan redesign or from changes in funding policy and risk sharing rules. We develop a stochastic framework which accounts for time-varying investment opportunities and computes the embedded generational options. Changes in the values of the generational options enable us to evaluate the impact of policy modifications in the pension contract with respect to intergenerational transfers and redistribution. We find that a switch to a less risky asset mix is beneficial to elderly members at the expense of younger members who lose value. A reallocation of risk bearing from a plan with flexible contributions and fixed benefits to a plan with fixed contributions and flexible benefits leads to value redistribution from older plan members to younger ones.

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File URL: http://www.sciencedirect.com/science/article/B6V8N-4P6M5XN-2/2/f765e5e93950be84a405b1fba559adb4
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Article provided by Elsevier in its journal Insurance: Mathematics and Economics.

Volume (Year): 42 (2008)
Issue (Month): 2 (April)
Pages: 578-593

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Handle: RePEc:eee:insuma:v:42:y:2008:i:2:p:578-593
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/505554

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  1. Hoevenaars, Roy P.M.M. & Molenaar, Roderick D.J. & Schotman, Peter C. & Steenkamp, Tom B.M., 2008. "Strategic asset allocation with liabilities: Beyond stocks and bonds," Journal of Economic Dynamics and Control, Elsevier, vol. 32(9), pages 2939-2970, September.
  2. Andrew Ang & Geert Bekaert & Min Wei, 2007. "The Term Structure of Real Rates and Expected Inflation," NBER Working Papers 12930, National Bureau of Economic Research, Inc.
  3. Martin Feldstein, 2005. "Structural Reform of Social Security," NBER Working Papers 11098, National Bureau of Economic Research, Inc.
  4. Smetters, Kent, 2002. "Controlling the cost of minimum benefit guarantees in public pension conversions," Journal of Pension Economics and Finance, Cambridge University Press, vol. 1(01), pages 9-33, March.
  5. Roger H. Gordon & Hal R. Varian, 1985. "Intergenerational Risk Sharing," NBER Working Papers 1730, National Bureau of Economic Research, Inc.
  6. Michael J. Brennan & Yihong Xia, 2002. "Dynamic Asset Allocation under Inflation," Journal of Finance, American Finance Association, vol. 57(3), pages 1201-1238, 06.
  7. Guillen, Montserrat & Jorgensen, Peter Lochte & Nielsen, Jens Perch, 2006. "Return smoothing mechanisms in life and pension insurance: Path-dependent contingent claims," Insurance: Mathematics and Economics, Elsevier, vol. 38(2), pages 229-252, April.
  8. Teulings, Coen & de Vries, Casper G., 2003. "Generational Accounting, Solidarity and Pension Losses," IZA Discussion Papers 961, Institute for the Study of Labor (IZA).
  9. John H. Cochrane & Monika Piazzesi, 2002. "Bond Risk Premia," NBER Working Papers 9178, National Bureau of Economic Research, Inc.
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  11. Robert J. Shiller, 1998. "Social Security and Institutions for Intergenerational, Intragenerational, and International Risk Sharing," NBER Working Papers 6641, National Bureau of Economic Research, Inc.
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  13. Gollier, Christian, 2007. "Intergenerational Risk-Sharing and Risk-Taking of a Pension Fund," IDEI Working Papers 42, Institut d'Économie Industrielle (IDEI), Toulouse.
  14. Feldstein, Martin, 2005. "Structural Reform of Social Security," Scholarly Articles 2794830, Harvard University Department of Economics.
  15. Willem H. Buiter, 1995. "Generational Accounts, Aggregate Saving and Intergenerational Distribution," NBER Working Papers 5087, National Bureau of Economic Research, Inc.
  16. Enders, Walter & Lapan, Harvey E, 1982. "Social Security Taxation and Intergenerational Risk Sharing," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 23(3), pages 647-58, October.
  17. Frank de Jong, 2005. "Valuation of pension liabilities in incomplete markets," DNB Working Papers 067, Netherlands Central Bank, Research Department.
  18. Campbell, John Y & Viceira, Luis M, 2005. "The Term Structure of the Risk-Return Tradeoff," CEPR Discussion Papers 4914, C.E.P.R. Discussion Papers.
  19. Sharpe, William F., 1976. "Corporate pension funding policy," Journal of Financial Economics, Elsevier, vol. 3(3), pages 183-193, June.
  20. Campbell, John Y. & Viceira, Luis M., 2002. "Strategic Asset Allocation: Portfolio Choice for Long-Term Investors," OUP Catalogue, Oxford University Press, number 9780198296942.
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  22. Blake, David, 1998. "Pension schemes as options on pension fund assets: implications for pension fund management," Insurance: Mathematics and Economics, Elsevier, vol. 23(3), pages 263-286, December.
  23. Kotlikoff, Laurence J., 2002. "Generational policy," Handbook of Public Economics, in: A. J. Auerbach & M. Feldstein (ed.), Handbook of Public Economics, edition 1, volume 4, chapter 27, pages 1873-1932 Elsevier.
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