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Valuation, Optimal Asset Allocation and Retirement Incentives of Pension Plans

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  • Sundaresan, Suresh
  • Zapatero, Fernando
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    Abstract

    We provide a framework in which we link the valuation and asset allocation policies of defined benefits plans with the lifetime marginal productivity schedule of the worker and the pension plan formula. In turn, we examine the retirement policies that are implied by the primitives of the model and the value of pension obligations. Our model provides an explicit valuation formula for a stylized defined benefits plan. The optimal asset allocation policies consist of the replicating portfolio of the pension liabilities and the growth optimum portfolio independent of the pension liabilities. We show that the worker will retire when the ratio of pension benefits to current wages reaches a critical value which depends on the parameters of the pension plan and the discount rate. Using numerical techniques we analyze the feedback effect of retirement policies on the valuation of plans and on the asset allocation decisions. Article published by Oxford University Press on behalf of the Society for Financial Studies in its journal, The Review of Financial Studies.

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    Bibliographic Info

    Article provided by Society for Financial Studies in its journal Review of Financial Studies.

    Volume (Year): 10 (1997)
    Issue (Month): 3 ()
    Pages: 631-60

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    Handle: RePEc:oup:rfinst:v:10:y:1997:i:3:p:631-60

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    Cited by:
    1. 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.
    2. Love, David A. & Smith, Paul A. & Wilcox, David W., 2011. "The effect of regulation on optimal corporate pension risk," Journal of Financial Economics, Elsevier, vol. 101(1), pages 18-35, July.
    3. Joshua Rauh, 2007. "Risk Shifting versus Risk Management: Investment Policy in Corporate Pension Plans," NBER Working Papers 13240, National Bureau of Economic Research, Inc.
    4. Francesco Menoncin & Olivier Scaillet, 2003. "Mortality Risk and Real Optimal Asset Allocation for Pension Funds," FAME Research Paper Series rp101, International Center for Financial Asset Management and Engineering.
    5. Brière, Marie & Boon, Ling-Ni & Rigot, Sandra, 2014. "Does Regulation Matter? Riskiness and Procyclicality of Pension Asset Allocation," Economics Papers from University Paris Dauphine 123456789/13624, Paris Dauphine University.
    6. Bodie, Zvi & Detemple, Jerome B. & Otruba, Susanne & Walter, Stephan, 2004. "Optimal consumption-portfolio choices and retirement planning," Journal of Economic Dynamics and Control, Elsevier, vol. 28(6), pages 1115-1148, March.
    7. Andrew Ang & Bingxu Chen & Suresh Sundaresan, 2013. "Liability Investment with Downside Risk," NBER Working Papers 19030, National Bureau of Economic Research, Inc.
    8. Robert Novy-Marx & Joshua D. Rauh, 2008. "The Intergenerational Transfer of Public Pension Promises," NBER Working Papers 14343, National Bureau of Economic Research, Inc.
    9. Thomas Steinberger, 2005. "Pension benefit default risk and welfare effects of funding regulation," CSEF Working Papers 147, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    10. 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.
    11. Detemple, Jérôme & Rindisbacher, Marcel, 2008. "Dynamic asset liability management with tolerance for limited shortfalls," Insurance: Mathematics and Economics, Elsevier, vol. 43(3), pages 281-294, December.
    12. Huang, Huaxiong & Milevsky, Moshe A., 2008. "Portfolio choice and mortality-contingent claims: The general HARA case," Journal of Banking & Finance, Elsevier, vol. 32(11), pages 2444-2452, November.
    13. Kalra, Raman & Jain, Gautam, 1997. "A continuous-time model to determine the intervention policy for PBGC," Journal of Banking & Finance, Elsevier, vol. 21(8), pages 1159-1177, August.
    14. Milevsky, Moshe A. & Young, Virginia R., 2007. "Annuitization and asset allocation," Journal of Economic Dynamics and Control, Elsevier, vol. 31(9), pages 3138-3177, September.
    15. An Chen & Carla Mereu & Robert Stelzer, 2014. "Optimal investment with time-varying stochastic endowments," Papers 1406.6245, arXiv.org.
    16. John Chalmers & Woodrow T. Johnson & Jonathan Reuter, 2012. "The Effect of Pension Design on Employer Costs and Employee Retirement Choices: Evidence from Oregon," NBER Working Papers 18517, National Bureau of Economic Research, Inc.
    17. Iqbal Owadally, 2014. "Tail risk in pension funds: an analysis using ARCH models and bilinear processes," Review of Quantitative Finance and Accounting, Springer, vol. 43(2), pages 301-331, August.
    18. Anantharaman, Divya & Lee, Yong Gyu, 2014. "Managerial risk taking incentives and corporate pension policy," Journal of Financial Economics, Elsevier, vol. 111(2), pages 328-351.
    19. Dybvig, Philip H. & Liu, Hong, 2010. "Lifetime consumption and investment: Retirement and constrained borrowing," Journal of Economic Theory, Elsevier, vol. 145(3), pages 885-907, May.
    20. Mehlkopf, R.J., 2011. "Risk sharing with the unborn," Open Access publications from Tilburg University urn:nbn:nl:ui:12-4960700, Tilburg University.
    21. Olivia S. Mitchell, . "Developments in Pensions," Pension Research Council Working Papers 98-4, Wharton School Pension Research Council, University of Pennsylvania.
    22. Robert Novy-Marx & Joshua D. Rauh, 2009. "The Liabilities and Risks of State-Sponsored Pension Plans," Journal of Economic Perspectives, American Economic Association, vol. 23(4), pages 191-210, Fall.
    23. Shi, Zhen & Werker, Bas J.M., 2012. "Short-horizon regulation for long-term investors," Journal of Banking & Finance, Elsevier, vol. 36(12), pages 3227-3238.

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