IDEAS home Printed from https://ideas.repec.org/p/msh/ebswps/2020-21.html
   My bibliography  Save this paper

Novel Utility-based Life Cycle Models to Optimise Income in Retirement in the Presence of Heterogeneous Preferences

Author

Listed:
  • Bonsoo Koo
  • Athanasios A. Pantelous
  • Yunxiao Wang

Abstract

The global shift towards defined-contribution pension schemes has been accompanied by asymmetric risks and new responsibilities for households to plan and fund effectively their own retirement over the years. In this study, expressing and combining preferences for consumption, investment, bequest, public pension entitlement and the choice of reverse mortgage products, we develop several utilitybased life cycle models to facilitate the complex decision-making process that retired households are required to follow to optimise their retirement income. This optimal policy is given in the form of either an analytical or a numerical solution using stochastic dynamic programming. The timing of this paper coincides with the launch of a reverse mortgage style loan, offered by the Australian federal government and allowing retired households to receive an income stream by taking out a loan against the equity in their home. Calibration is performed using real Australian household data.

Suggested Citation

  • Bonsoo Koo & Athanasios A. Pantelous & Yunxiao Wang, 2020. "Novel Utility-based Life Cycle Models to Optimise Income in Retirement in the Presence of Heterogeneous Preferences," Monash Econometrics and Business Statistics Working Papers 21/20, Monash University, Department of Econometrics and Business Statistics.
  • Handle: RePEc:msh:ebswps:2020-21
    as

    Download full text from publisher

    File URL: https://www.monash.edu/business/ebs/research/publications/ebs/wp21-2020.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Andréasson, Johan G. & Shevchenko, Pavel V. & Novikov, Alex, 2017. "Optimal consumption, investment and housing with means-tested public pension in retirement," Insurance: Mathematics and Economics, Elsevier, vol. 75(C), pages 32-47.
    2. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711.
    3. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
    4. Xie, Yuxin & Hwang, Soosung & Pantelous, Athanasios A., 2018. "Loss aversion around the world: Empirical evidence from pension funds," Journal of Banking & Finance, Elsevier, vol. 88(C), pages 52-62.
    Full references (including those not matched with items on IDEAS)

    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. Koo, Bonsoo & Pantelous, Athanasios A. & Wang, Yunxiao, 2022. "Novel utility-based life cycle models to optimise income in retirement," European Journal of Operational Research, Elsevier, vol. 299(1), pages 346-361.
    2. Letendre, Marc-Andre & Smith, Gregor W., 2001. "Precautionary saving and portfolio allocation: DP by GMM," Journal of Monetary Economics, Elsevier, vol. 48(1), pages 197-215, August.
    3. Miao, Jianjun & Wang, Neng, 2007. "Investment, consumption, and hedging under incomplete markets," Journal of Financial Economics, Elsevier, vol. 86(3), pages 608-642, December.
    4. Hodder, James E. & Jackwerth, Jens Carsten, 2011. "Managerial responses to incentives: Control of firm risk, derivative pricing implications, and outside wealth management," Journal of Banking & Finance, Elsevier, vol. 35(6), pages 1507-1518, June.
    5. Michael W. Brandt & Amit Goyal & Pedro Santa-Clara & Jonathan R. Stroud, 2005. "A Simulation Approach to Dynamic Portfolio Choice with an Application to Learning About Return Predictability," Review of Financial Studies, Society for Financial Studies, vol. 18(3), pages 831-873.
    6. Suresh M. Sundaresan, 2000. "Continuous‐Time Methods in Finance: A Review and an Assessment," Journal of Finance, American Finance Association, vol. 55(4), pages 1569-1622, August.
    7. Mark Broadie & Weiwei Shen, 2016. "High-Dimensional Portfolio Optimization With Transaction Costs," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 19(04), pages 1-49, June.
    8. Blake, David & Wright, Douglas & Zhang, Yumeng, 2014. "Age-dependent investing: Optimal funding and investment strategies in defined contribution pension plans when members are rational life cycle financial planners," Journal of Economic Dynamics and Control, Elsevier, vol. 38(C), pages 105-124.
    9. Mehlkopf, R.J., 2011. "Risk sharing with the unborn," Other publications TiSEM fe8a8df6-455f-4624-af10-9, Tilburg University, School of Economics and Management.
    10. Peter Schober & Julian Valentin & Dirk Pflüger, 2022. "Solving High-Dimensional Dynamic Portfolio Choice Models with Hierarchical B-Splines on Sparse Grids," Computational Economics, Springer;Society for Computational Economics, vol. 59(1), pages 185-224, January.
    11. Steven J. Davis & Felix Kubler & Paul Willen, 2006. "Borrowing Costs and the Demand for Equity over the Life Cycle," The Review of Economics and Statistics, MIT Press, vol. 88(2), pages 348-362, May.
    12. Leonid Kogan & Raman Uppal, "undated". "Risk Aversion and Optimal Portfolio Policies in Partial and General Equilibrium Economies," Rodney L. White Center for Financial Research Working Papers 13-00, Wharton School Rodney L. White Center for Financial Research.
    13. Yuan-Hung Hsu Ku & Jai Jen Wang, 2005. "Intertemporal cross-border investment structures subjected to the equity holding constraint," Applied Financial Economics Letters, Taylor and Francis Journals, vol. 1(5), pages 303-307, September.
    14. Rytchkov, Oleg, 2016. "Time-Varying Margin Requirements and Optimal Portfolio Choice," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 51(2), pages 655-683, April.
    15. George Chacko & Luis M. Viceira, 2005. "Dynamic Consumption and Portfolio Choice with Stochastic Volatility in Incomplete Markets," Review of Financial Studies, Society for Financial Studies, vol. 18(4), pages 1369-1402.
    16. Gaurav Khemka & Yifu Tang & Geoffrey J. Warren, 2021. "The ‘right’ level for the superannuation guarantee: identifying the key considerations," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 61(3), pages 4435-4474, September.
    17. Sanjiv Ranjan Das & Rangarajan K. Sundaram, 2002. "An approximation algorithm for optimal consumption/investment problems," Intelligent Systems in Accounting, Finance and Management, John Wiley & Sons, Ltd., vol. 11(2), pages 55-69, April.
    18. Jialun Li & Kent Smetters, 2011. "Optimal Portfolio Choice with Wage-Indexed Social Security," NBER Working Papers 17025, National Bureau of Economic Research, Inc.
    19. Yongyang Cai & Kenneth L. Judd & Rong Xu, 2013. "Numerical Solution of Dynamic Portfolio Optimization with Transaction Costs," NBER Working Papers 18709, National Bureau of Economic Research, Inc.
    20. Trond M Døskeland & Helge A Nordahl, 2008. "Intergenerational Effects of Guaranteed Pension Contracts," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 33(1), pages 19-46, June.

    More about this item

    Keywords

    risk management; stochastic optimal control; life cycle models; retirement income; reverse mortgage; defined contribution;
    All these keywords.

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:msh:ebswps:2020-21. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: https://edirc.repec.org/data/dxmonau.html .

    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: Professor Xibin Zhang (email available below). General contact details of provider: https://edirc.repec.org/data/dxmonau.html .

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.