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Pension Fund Dynamics and Gains/Losses Due to Random Rates of Investment Return

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  • M. Iqbal Owadally
  • Steven Haberman

Abstract

A simple model for defined benefit pension plans with independent and identically distributed rates of investment return and a stationary membership is considered. Three methods of adjusting the normal cost as gains or losses arise are compared, and a suitable choice of amortization or spread period is made. We also investigate the evolution in time of the first and second moments of the pension fund and contribution levels.

Suggested Citation

  • M. Iqbal Owadally & Steven Haberman, 1999. "Pension Fund Dynamics and Gains/Losses Due to Random Rates of Investment Return," North American Actuarial Journal, Taylor & Francis Journals, vol. 3(3), pages 105-117.
    • Handle: RePEc:taf:uaajxx:v:3:y:1999:i:3:p:105-117
    DOI: 10.1080/10920277.1999.10595837
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    Citations

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    Cited by:

    1. 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.
    2. Josa-Fombellida, Ricardo & Rincón-Zapatero, Juan Pablo, 2010. "Optimal asset allocation for aggregated defined benefit pension funds with stochastic interest rates," European Journal of Operational Research, Elsevier, vol. 201(1), pages 211-221, February.
    3. Josa-Fombellida, Ricardo & Rincón-Zapatero, Juan Pablo, 2012. "Stochastic pension funding when the benefit and the risky asset follow jump diffusion processes," European Journal of Operational Research, Elsevier, vol. 220(2), pages 404-413.
    4. Colombo, Luigi & Haberman, Steven, 2005. "Optimal contributions in a defined benefit pension scheme with stochastic new entrants," Insurance: Mathematics and Economics, Elsevier, vol. 37(2), pages 335-354, October.
    5. Chang, Shih-Chieh & Chen, Chiang-Chu, 2002. "Allocating unfunded liability in pension valuation under uncertainty," Insurance: Mathematics and Economics, Elsevier, vol. 30(3), pages 371-387, June.
    6. Josa-Fombellida, Ricardo & Rincon-Zapatero, Juan Pablo, 2004. "Optimal risk management in defined benefit stochastic pension funds," Insurance: Mathematics and Economics, Elsevier, vol. 34(3), pages 489-503, June.
    7. Josa-Fombellida, Ricardo & Rincon-Zapatero, Juan Pablo, 2001. "Minimization of risks in pension funding by means of contributions and portfolio selection," Insurance: Mathematics and Economics, Elsevier, vol. 29(1), pages 35-45, August.
    8. Taylor, Greg, 2002. "Stochastic control of funding systems," Insurance: Mathematics and Economics, Elsevier, vol. 30(3), pages 323-350, June.
    9. Maurer, Raimond & Mitchell, Olivia S. & Rogalla, Ralph, 2009. "Managing contribution and capital market risk in a funded public defined benefit plan: Impact of CVaR cost constraints," Insurance: Mathematics and Economics, Elsevier, vol. 45(1), pages 25-34, August.
    10. Josa-Fombellida, Ricardo & Navas, Jorge, 2020. "Time consistent pension funding in a defined benefit pension plan with non-constant discounting," Insurance: Mathematics and Economics, Elsevier, vol. 94(C), pages 142-153.
    11. Khorasanee, Zaki, 2005. "Benefit uncertainty and default risk in pension plans," Insurance: Mathematics and Economics, Elsevier, vol. 37(3), pages 469-493, December.
    12. Gabay, Daniel & Grasselli, Martino, 2012. "Fair demographic risk sharing in defined contribution pension systems," Journal of Economic Dynamics and Control, Elsevier, vol. 36(4), pages 657-669.
    13. John Board & Charles Sutcliffe, 2007. "Joined-Up Pensions Policy in the UK: An Asset-Liability Model for Simultaneously Determining the Asset Allocation and Contribution Rate," Economic Analysis, Institute of Economic Sciences, vol. 40(3-4), pages 87-118.
    14. Chang, S. C. & Tzeng, Larry Y. & Miao, Jerry C. Y., 2003. "Pension funding incorporating downside risks," Insurance: Mathematics and Economics, Elsevier, vol. 32(2), pages 217-228, April.
    15. Haberman, Steven & Sung, Joo-Ho, 2005. "Optimal pension funding dynamics over infinite control horizon when stochastic rates of return are stationary," Insurance: Mathematics and Economics, Elsevier, vol. 36(1), pages 103-116, February.

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