IDEAS home Printed from https://ideas.repec.org/a/pch/abante/v9y2006i2p99-129.html
   My bibliography  Save this article

Optimal Portfolios In Defined Contribution Pension Systems

Author

Listed:
  • EDUARDO WALKER

    (Escuela de Administración, Pontificia Universidad Católica de Chile)

Abstract

We study optimal portfolios for defined contribution (possibly mandatory) pension systems, which maximize expected pensions subject to a risk level. By explicitly considering the present value of future individual contributions and changing the risk-return numeraire to future pension units we obtain interesting insights, consistent with the literature, in a simpler context. Results naturally imply that the local indexed (inflation-adjusted) currency is the benchmark and that the investment horizon is long. Optimal portfolios have a hedging component with an even longer duration than a deferred (real) pension, which begins its lifetime payments upon retirement. Results are illustrated with the parameters obtained for the United States by Campbell and Viceira (2001). It also discusses the implications for emerging market reformed pension systems.

Suggested Citation

  • Eduardo Walker, 2006. "Optimal Portfolios In Defined Contribution Pension Systems," Abante, Escuela de Administracion. Pontificia Universidad Católica de Chile., vol. 9(2), pages 99-129.
  • Handle: RePEc:pch:abante:v:9:y:2006:i:2:p:99-129
    as

    Download full text from publisher

    File URL: http://www.abante.cl/files/ABT/Contenidos/Vol-9-N2/Walker.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Luca Benzoni & Pierre Collin‐Dufresne & Robert S. Goldstein, 2007. "Portfolio Choice over the Life‐Cycle when the Stock and Labor Markets Are Cointegrated," Journal of Finance, American Finance Association, vol. 62(5), pages 2123-2167, October.
    2. John Y. Campbell & João F. Cocco & Francisco J. Gomes & Pascal J. Maenhout, 2001. "Investing Retirement Wealth: A Life-Cycle Model," NBER Chapters, in: Risk Aspects of Investment-Based Social Security Reform, pages 439-482, National Bureau of Economic Research, Inc.
    3. Jagannathan, Ravi & Wang, Zhenyu, 1996. "The Conditional CAPM and the Cross-Section of Expected Returns," Journal of Finance, American Finance Association, vol. 51(1), pages 3-53, March.
    4. repec:ete:ceswps:ces9805 is not listed on IDEAS
    5. Richard H. Thaler, 2008. "Mental Accounting and Consumer Choice," Marketing Science, INFORMS, vol. 27(1), pages 15-25, 01-02.
    6. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    7. Isabelle Bajeux-Besnainou & James V. Jordan & Roland Portait, 2003. "Dynamic Asset Allocation for Stocks, Bonds, and Cash," The Journal of Business, University of Chicago Press, vol. 76(2), pages 263-288, April.
    8. Campbell, John Y. & Chacko, George & Rodriguez, Jorge & Viceira, Luis M., 2004. "Strategic asset allocation in a continuous-time VAR model," Journal of Economic Dynamics and Control, Elsevier, vol. 28(11), pages 2195-2214, October.
    9. Constantinides, George M., 1984. "Optimal stock trading with personal taxes : Implications for prices and the abnormal January returns," Journal of Financial Economics, Elsevier, vol. 13(1), pages 65-89, March.
    10. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    11. Eugene F. Fama & Kenneth R. French, 2002. "The Equity Premium," Journal of Finance, American Finance Association, vol. 57(2), pages 637-659, April.
    12. Paul A. Samuelson, 2011. "Lifetime Portfolio Selection by Dynamic Stochastic Programming," World Scientific Book Chapters, in: Leonard C MacLean & Edward O Thorp & William T Ziemba (ed.), THE KELLY CAPITAL GROWTH INVESTMENT CRITERION THEORY and PRACTICE, chapter 31, pages 465-472, World Scientific Publishing Co. Pte. Ltd..
    13. Olivia S. Mitchell & Zvi Bodie, "undated". "A Framework for Analyzing and Managing Retirement Risks," Pension Research Council Working Papers 2000-4, Wharton School Pension Research Council, University of Pennsylvania.
    14. John Y. Campbell & Martin Feldstein, 2001. "Risk Aspects of Investment-Based Social Security Reform," NBER Books, National Bureau of Economic Research, Inc, number camp01-1, March.
    15. LuisM. Viceira & John Y. Campbell, 2001. "Who Should Buy Long-Term Bonds?," American Economic Review, American Economic Association, vol. 91(1), pages 99-127, March.
    16. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 627-627, November.
    17. Joao F. Cocco, 2005. "Consumption and Portfolio Choice over the Life Cycle," The Review of Financial Studies, Society for Financial Studies, vol. 18(2), pages 491-533.
    18. 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.
    19. Joao F. Cocco, 2005. "Portfolio Choice in the Presence of Housing," The Review of Financial Studies, Society for Financial Studies, vol. 18(2), pages 535-567.
    20. Bodie, Zvi & Merton, Robert C. & Samuelson, William F., 1992. "Labor supply flexibility and portfolio choice in a life cycle model," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 427-449.
    21. Miquel Faig & Pauline Shum, 2002. "Portfolio Choice in the Presence of Personal Illiquid Projects," Journal of Finance, American Finance Association, vol. 57(1), pages 303-328, February.
    22. Campbell, John Y. & Viceira, Luis M., 2002. "Strategic Asset Allocation: Portfolio Choice for Long-Term Investors," OUP Catalogue, Oxford University Press, number 9780198296942.
    23. Christopher D. Carroll, 2001. "A Theory of the Consumption Function, with and without Liquidity Constraints," Journal of Economic Perspectives, American Economic Association, vol. 15(3), pages 23-45, Summer.
    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. Castaneda, Pablo, 2006. "Long Term Risk Assessment in a Defined Contribution Pension System," MPRA Paper 3347, University Library of Munich, Germany, revised 30 Apr 2007.
    2. Cristian Escudero & José L. Ruiz, 2021. "Life insurance companies’ investment abroad and the internal rate of return on Chilean annuities," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 46(4), pages 688-709, October.

    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. Guiso, Luigi & Sodini, Paolo, 2013. "Household Finance: An Emerging Field," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, volume 2, chapter 0, pages 1397-1532, Elsevier.
    2. Luca Benzoni & Pierre Collin‐Dufresne & Robert S. Goldstein, 2007. "Portfolio Choice over the Life‐Cycle when the Stock and Labor Markets Are Cointegrated," Journal of Finance, American Finance Association, vol. 62(5), pages 2123-2167, October.
    3. Fabio C. Bagliano & Carolina Fugazza & Giovanna Nicodano, 2014. "Optimal Life-Cycle Portfolios for Heterogeneous Workers," Review of Finance, European Finance Association, vol. 18(6), pages 2283-2323.
    4. Francisco Gomes & Michael Haliassos & Tarun Ramadorai, 2021. "Household Finance," Journal of Economic Literature, American Economic Association, vol. 59(3), pages 919-1000, September.
    5. Andreas Fagereng & Charles Gottlieb & Luigi Guiso, 2017. "Asset Market Participation and Portfolio Choice over the Life-Cycle," Journal of Finance, American Finance Association, vol. 72(2), pages 705-750, April.
    6. Zvi Bodie & Jérôme Detemple & Marcel Rindisbacher, 2009. "Life-Cycle Finance and the Design of Pension Plans," Annual Review of Financial Economics, Annual Reviews, vol. 1(1), pages 249-286, November.
    7. Zhou, Y., 2014. "Essays on habit formation and inflation hedging," Other publications TiSEM 4886da12-1b84-4fd9-aa07-3, Tilburg University, School of Economics and Management.
    8. Huaxiong Huang & Moshe A. Milevsky & Jin Wang, 2008. "Portfolio Choice and Life Insurance: The CRRA Case," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 75(4), pages 847-872, December.
    9. Costanza Torricelli, 2009. "Models For Household Portfolios And Life-Cycle Allocations In The Presence Of Labour Income And Longevity Risk," Centro Studi di Banca e Finanza (CEFIN) (Center for Studies in Banking and Finance) 0017, Universita di Modena e Reggio Emilia, Dipartimento di Economia "Marco Biagi".
    10. Luca Benzoni & Pierre Collin-Dufresne & Robert S. Goldstein, 2005. "Portfolio Choice over the Life-Cycle in the Presence of 'Trickle Down' Labor Income," NBER Working Papers 11247, National Bureau of Economic Research, Inc.
    11. 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.
    12. Jakša Cvitani'{c} & Levon Goukasian & Fernando Zapatero, 2007. "Optimal Risk Taking with Flexible Income," Management Science, INFORMS, vol. 53(10), pages 1594-1603, October.
    13. Robert Östling & Erik Lindqvist & David Cesarini & Joseph Briggs, 2016. "Wealth, Portfolio Allocations, and Risk Preference," 2016 Meeting Papers 1089, Society for Economic Dynamics.
    14. Horneff, Wolfram J. & Maurer, Raimond H. & Stamos, Michael Z., 2008. "Life-cycle asset allocation with annuity markets," Journal of Economic Dynamics and Control, Elsevier, vol. 32(11), pages 3590-3612, November.
    15. Lin, Wen-chang & Lu, Jin-ray, 2012. "Risky asset allocation and consumption rule in the presence of background risk and insurance markets," Insurance: Mathematics and Economics, Elsevier, vol. 50(1), pages 150-158.
    16. Penaranda, Francisco, 2007. "Portfolio choice beyond the traditional approach," LSE Research Online Documents on Economics 24481, London School of Economics and Political Science, LSE Library.
    17. John Y. Campbell & João F. Cocco, 2003. "Household Risk Management and Optimal Mortgage Choice," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 118(4), pages 1449-1494.
    18. Kraft, Holger & Munk, Claus & Wagner, Sebastian, 2015. "Housing habits and their implications for life-cycle consumption and investment," SAFE Working Paper Series 85, Leibniz Institute for Financial Research SAFE, revised 2015.
    19. John Y. Campbell, 2000. "Asset Pricing at the Millennium," Journal of Finance, American Finance Association, vol. 55(4), pages 1515-1567, August.
    20. Björn Bick & Holger Kraft & Claus Munk, 2013. "Solving Constrained Consumption-Investment Problems by Simulation of Artificial Market Strategies," Management Science, INFORMS, vol. 59(2), pages 485-503, June.

    More about this item

    Keywords

    Optimal portfolio; Defined contribution; Pension reform; Deferred pension; Emerging markets;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G18 - Financial Economics - - General Financial Markets - - - Government Policy and Regulation
    • G23 - Financial Economics - - Financial Institutions and Services - - - Non-bank Financial Institutions; Financial Instruments; Institutional Investors

    Statistics

    Access and download statistics

    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:pch:abante:v:9:y:2006:i:2:p:99-129. 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: Eduardo Walker (email available below). General contact details of provider: https://edirc.repec.org/data/eapuccl.html .

    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.