IDEAS home Printed from https://ideas.repec.org/a/gam/jrisks/v3y2015i1p77-102d46815.html
   My bibliography  Save this article

Portability, Salary and Asset Price Risk: A Continuous-Time Expected Utility Comparison of DB and DC Pension Plans

Author

Listed:
  • An Chen

    (Faculty of Mathematics and Economics, University of Ulm, Helmholtzstrasse 20, 89069 Ulm, Germany)

  • Filip Uzelac

    (German Federal Financial Supervisory Authority (Bafin), 53117 Bonn, Germany)

Abstract

This paper compares two different types of private retirement plans from the perspective of a representative beneficiary: a defined benefit (DB) and a defined contribution (DC) plan. While salary risk is the main common risk factor in DB and DC pension plans, one of the key differences is that DB plans carry portability risks, whereas DC plans bear asset price risk. We model these tradeoffs explicitly in this paper and compare these two plans in a utility-based framework. Our numerical analysis focuses on answering the question of when the beneficiary is indifferent between the DB and DC plan. Most of our results confirm the findings in the existing literature, among which, e.g., portability losses considerably reduce the relative attractiveness of the DB plan. However, we also find that the attractiveness of the DB plan can decrease in the level of risk aversion, which is inconsistent with the existing literature.

Suggested Citation

  • An Chen & Filip Uzelac, 2015. "Portability, Salary and Asset Price Risk: A Continuous-Time Expected Utility Comparison of DB and DC Pension Plans," Risks, MDPI, vol. 3(1), pages 1-26, March.
  • Handle: RePEc:gam:jrisks:v:3:y:2015:i:1:p:77-102:d:46815
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-9091/3/1/77/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-9091/3/1/77/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. Blake, David, 2000. "Does It Matter What Type of Pension Scheme You Have?," Economic Journal, Royal Economic Society, vol. 110(461), pages 46-81, February.
    3. Poterba, James & Rauh, Joshua & Venti, Steven & Wise, David, 2007. "Defined contribution plans, defined benefit plans, and the accumulation of retirement wealth," Journal of Public Economics, Elsevier, vol. 91(10), pages 2062-2086, November.
    4. Booth, Alison L & Francesconi, Marco & Garcia-Serrano, Carlos, 1997. "Job Tenure: Does History Matter?," CEPR Discussion Papers 1531, C.E.P.R. Discussion Papers.
    5. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    6. Siegmann, Arjen, 2011. "Minimum funding ratios for defined-benefit pension funds," Journal of Pension Economics and Finance, Cambridge University Press, vol. 10(3), pages 417-434, July.
    7. Hall, Robert E, 1982. "The Importance of Lifetime Jobs in the U.S. Economy," American Economic Review, American Economic Association, vol. 72(4), pages 716-724, September.
    8. Campbell, John Y. & Viceira, Luis M., 2002. "Strategic Asset Allocation: Portfolio Choice for Long-Term Investors," OUP Catalogue, Oxford University Press, number 9780198296942.
    9. Robert H. Topel & Michael P. Ward, 1992. "Job Mobility and the Careers of Young Men," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 439-479.
    10. Chen, An & Uzelac, Filip, 2014. "A risk-based premium: What does it mean for DB plan sponsors?," Insurance: Mathematics and Economics, Elsevier, vol. 54(C), pages 1-11.
    11. Andrew A. Samwick & Jonathan Skinner, 2004. "How Will 401(k) Pension Plans Affect Retirement Income?," American Economic Review, American Economic Association, vol. 94(1), pages 329-343, March.
    12. Cocco, Joao F. & Lopes, Paula, 2004. "Defined benefit or defined contribution?: An empirical study of pension choices," LSE Research Online Documents on Economics 24751, London School of Economics and Political Science, LSE Library.
    13. Zvi Bodie & Alan J. Marcus & Robert C. Merton, 1988. "Defined Benefit versus Defined Contribution Pension Plans: What are the Real Trade-offs?," NBER Chapters, in: Pensions in the U.S. Economy, pages 139-162, National Bureau of Economic Research, Inc.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. An Chen & Motonobu Kanagawa & Fangyuan Zhang, 2021. "Intergenerational risk sharing in a Defined Contribution pension system: analysis with Bayesian optimization," Papers 2106.13644, arXiv.org, revised Mar 2023.
    2. Charles I. Nkeki, 2017. "Optimal Investment And Optimal Additional Voluntary Contribution Rate Of A Dc Pension Fund In A Jump-Diffusion Environment," Annals of Financial Economics (AFE), World Scientific Publishing Co. Pte. Ltd., vol. 12(04), pages 1-26, December.
    3. Thomas C. Okoisama & Karibo B. Bagshaw, 2023. "Information Technology Infrastructure and Organisational Sustainability of Petroleum Tank Farms in South-South, Nigeria," International Journal of Science and Business, IJSAB International, vol. 25(1), pages 210-228.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Siegmann, Arjen, 2011. "Minimum funding ratios for defined-benefit pension funds," Journal of Pension Economics and Finance, Cambridge University Press, vol. 10(3), pages 417-434, July.
    2. Rauh, Joshua D. & Stefanescu, Irina & Zeldes, Stephen P., 2020. "Cost saving and the freezing of corporate pension plans," Journal of Public Economics, Elsevier, vol. 188(C).
    3. Blake, David & Wright, Douglas & Zhang, Yumeng, 2013. "Target-driven investing: Optimal investment strategies in defined contribution pension plans under loss aversion," Journal of Economic Dynamics and Control, Elsevier, vol. 37(1), pages 195-209.
    4. James Poterba & Joshua Rauh & Steven Venti & David Wise, 2007. "Defined Contribution Plans, Defined Benefit Plans, and the Accumulation of Retirement Wealth," NBER Chapters, in: Public Policy and Retirement, Trans-Atlantic Public Economics Seminar (TAPES), pages 2062-2086, National Bureau of Economic Research, Inc.
    5. Blake, David & Cairns, Andrew & Dowd, Kevin, 2008. "Turning pension plans into pension planes: What investment strategy designers of defined contribution pension plans can learn from commercial aircraft designers," MPRA Paper 33749, University Library of Munich, Germany.
    6. Georg Duernecker, 2010. "Informational Frictions and the Life-Cycle Dynamics of Job Mobility," 2010 Meeting Papers 482, Society for Economic Dynamics.
    7. Joshua Rauh & Irina Stefanescu & Stephen Zeldes, 2013. "Cost shifting and the freezing of corporate pension plans," Finance and Economics Discussion Series 2013-82, Board of Governors of the Federal Reserve System (U.S.).
    8. Joshua D. Rauh & Irina Stefanescu & Stephen P. Zeldes, 2020. "Cost Saving and the Freezing of Corporate Pension Plans," NBER Working Papers 27251, National Bureau of Economic Research, Inc.
    9. Axel Heitmueller, 2004. "Job Mobility In Britain: Are The Scots Different? Evidence From The Bhps," Scottish Journal of Political Economy, Scottish Economic Society, vol. 51(3), pages 329-358, August.
    10. Wiafe, Osei K. & Basu, Anup K. & Chen, En Te, 2020. "Portfolio choice after retirement: Should self-annuitisation strategies hold more equities?," Economic Analysis and Policy, Elsevier, vol. 65(C), pages 241-255.
    11. Salamanca, Nicolás & de Grip, Andries & Sleijpen, Olaf, 2020. "How People React to Pension Risk," IZA Discussion Papers 13077, Institute of Labor Economics (IZA).
    12. Steven Haberman & Elena Vigna, 2002. "Optimal investment strategies and risk measures in defined contribution pension schemes," ICER Working Papers - Applied Mathematics Series 09-2002, ICER - International Centre for Economic Research.
    13. James Poterba & Steven Venti & David A. Wise, 2007. "The Changing Landscape of Pensions in the United States," NBER Working Papers 13381, National Bureau of Economic Research, Inc.
    14. Inkmann, Joachim, 2006. "Compensating wage differentials for defined benefit and defined contribution occupational pension scheme benefits," LSE Research Online Documents on Economics 24516, London School of Economics and Political Science, LSE Library.
    15. Ivica Dus & Raimond Maurer & Olivia S. Mitchell, 2003. "Betting on Death and Capital Markets in Retirement: A Shortfall Risk Analysis of Life Annuities versus Phased Withdrawal Plans," Working Papers wp063, University of Michigan, Michigan Retirement Research Center.
    16. Thomas Url, 2015. "Altersvorsorgesysteme in Europa," WIFO Studies, WIFO, number 57913, April.
    17. Andrew A. Samwick & Jonathan Skinner, 1998. "How Will Defined Contribution Pension Plans Affect Retirement Income?," NBER Working Papers 6645, National Bureau of Economic Research, Inc.
    18. Steven J. Davis & John Haltiwanger, 1998. "Measuring Gross Worker and Job Flows," NBER Chapters, in: Labor Statistics Measurement Issues, pages 77-122, National Bureau of Economic Research, Inc.
    19. Christoph Belak & An Chen & Carla Mereu & Robert Stelzer, 2014. "Optimal investment with time-varying stochastic endowments," Papers 1406.6245, arXiv.org, revised Feb 2022.
    20. Rainer Winkelmann & Klaus Zimmermann, 1998. "Is job stability declining in Germany? Evidence from count data models," Applied Economics, Taylor & Francis Journals, vol. 30(11), pages 1413-1420.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jrisks:v:3:y:2015:i:1:p:77-102:d:46815. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.