IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v299y2022i1p346-361.html
   My bibliography  Save this article

Novel utility-based life cycle models to optimise income in retirement

Author

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

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 utility-based 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

  • 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.
    • Handle: RePEc:eee:ejores:v:299:y:2022:i:1:p:346-361
    DOI: 10.1016/j.ejor.2021.08.048
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221721007402
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2021.08.048?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Maria Chiuri & Tullio Jappelli, 2010. "Do the elderly reduce housing equity? An international comparison," Journal of Population Economics, Springer;European Society for Population Economics, vol. 23(2), pages 643-663, March.
    2. Jesus Fernández-Villaverde & Dirk Krueger, 2007. "Consumption over the Life Cycle: Facts from Consumer Expenditure Survey Data," The Review of Economics and Statistics, MIT Press, vol. 89(3), pages 552-565, August.
    3. 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.
    4. Sun, Yufei & Aw, Grace & Loxton, Ryan & Teo, Kok Lay, 2017. "Chance-constrained optimization for pension fund portfolios in the presence of default risk," European Journal of Operational Research, Elsevier, vol. 256(1), pages 205-214.
    5. Modigliani, Franco, 1986. "Life Cycle, Individual Thrift, and the Wealth of Nations," American Economic Review, American Economic Association, vol. 76(3), pages 297-313, June.
    6. Richard, Scott F., 1975. "Optimal consumption, portfolio and life insurance rules for an uncertain lived individual in a continuous time model," Journal of Financial Economics, Elsevier, vol. 2(2), pages 187-203, June.
    7. Shlomo Benartzi & Richard Thaler, 2007. "Heuristics and Biases in Retirement Savings Behavior," Journal of Economic Perspectives, American Economic Association, vol. 21(3), pages 81-104, Summer.
    8. Thomas Davidoff & Jeffrey R. Brown & Peter A. Diamond, 2005. "Annuities and Individual Welfare," American Economic Review, American Economic Association, vol. 95(5), pages 1573-1590, December.
    9. Shao, Adam W. & Hanewald, Katja & Sherris, Michael, 2015. "Reverse mortgage pricing and risk analysis allowing for idiosyncratic house price risk and longevity risk," Insurance: Mathematics and Economics, Elsevier, vol. 63(C), pages 76-90.
    10. Butt, Adam & Khemka, Gaurav, 2015. "The effect of objective formulation on retirement decision making," Insurance: Mathematics and Economics, Elsevier, vol. 64(C), pages 385-395.
    11. Menahem E. Yaari, 1965. "Uncertain Lifetime, Life Insurance, and the Theory of the Consumer," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(2), pages 137-150.
    12. Chiang, Shu Ling & Tsai, Ming Shann, 2016. "Analyzing an elder’s desire for a reverse mortgage using an economic model that considers house bequest motivation, random death time and stochastic house price," International Review of Economics & Finance, Elsevier, vol. 42(C), pages 202-219.
    13. 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.
    14. Gopi Shah Goda & Colleen Flaherty Manchester, 2013. "Incorporating Employee Heterogeneity into Default Rules for Retirement Plan Selection," Journal of Human Resources, University of Wisconsin Press, vol. 48(1), pages 198-235.
    15. 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.
    16. 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.
    17. Konicz, Agnieszka Karolina & Mulvey, John M., 2015. "Optimal savings management for individuals with defined contribution pension plans," European Journal of Operational Research, Elsevier, vol. 243(1), pages 233-247.
    18. Hazel Bateman & Christine Eckert & Fedor Iskhakov & Jordan Louviere & Stephen Satchell & Susan Thorp, 2017. "Default and naive diversification heuristics in annuity choice," Australian Journal of Management, Australian School of Business, vol. 42(1), pages 32-57, February.
    19. Benjamin M. Friedman & Mark J. Warshawsky, 1990. "The Cost of Annuities: Implications for Saving Behavior and Bequests," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(1), pages 135-154.
    20. Makoto Nakajima & Irina A. Telyukova, 2017. "Reverse Mortgage Loans: A Quantitative Analysis," Journal of Finance, American Finance Association, vol. 72(2), pages 911-950, April.
    21. 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.
    22. Daniel Kahneman, 2003. "Maps of Bounded Rationality: Psychology for Behavioral Economics," American Economic Review, American Economic Association, vol. 93(5), pages 1449-1475, December.
    23. Shao, Adam W. & Chen, Hua & Sherris, Michael, 2019. "To borrow or insure? Long term care costs and the impact of housing," Insurance: Mathematics and Economics, Elsevier, vol. 85(C), pages 15-34.
    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. Minney, Aaron & Zhu, Zili & Guo, Ying & Li, Jiaming & Toscas, Peter & Koo, Bonsoo & Pantelous, Athanasios A., 2022. "Using the pension multiple to measure retirement outcomes," Finance Research Letters, Elsevier, vol. 49(C).
    2. Vieira, Kelmara Mendes & Rosenblum, Tamara Otilia Amaral & Matheis, Taiane Keila, 2022. "And tomorrow, how will it be? Developing a Financial Preparation for Retirement Scale (FPRS)," Journal of Behavioral and Experimental Finance, Elsevier, vol. 35(C).
    3. Barucci, Emilio & Biffis, Enrico & Marazzina, Daniele, 2023. "Health insurance, portfolio choice, and retirement incentives," European Journal of Operational Research, Elsevier, vol. 307(2), pages 910-921.
    4. Dong, Ming & Mao, Shunjie & Li, Shan, 2023. "Supplier's technology upgrading investment strategy considering product life cycle," International Journal of Production Economics, Elsevier, vol. 263(C).

    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. Zhang, Jinhui & Purcal, Sachi & Wei, Jiaqin, 2021. "Optimal life insurance and annuity demand under hyperbolic discounting when bequests are luxury goods," Insurance: Mathematics and Economics, Elsevier, vol. 101(PA), pages 80-90.
    2. Francisco Gomes & Michael Haliassos & Tarun Ramadorai, 2021. "Household Finance," Journal of Economic Literature, American Economic Association, vol. 59(3), pages 919-1000, September.
    3. 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.
    4. Lambregts, Timo R. & Schut, Frederik T., 2020. "Displaced, disliked and misunderstood: A systematic review of the reasons for low uptake of long-term care insurance and life annuities," The Journal of the Economics of Ageing, Elsevier, vol. 17(C).
    5. Fedor Iskhakov & Susan Thorp & Hazel Bateman, 2015. "Optimal Annuity Purchases for Australian Retirees," The Economic Record, The Economic Society of Australia, vol. 91(293), pages 139-154, June.
    6. 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.
    7. Jang, Bong-Gyu & Koo, Hyeng Keun & Park, Seyoung, 2019. "Optimal consumption and investment with insurer default risk," Insurance: Mathematics and Economics, Elsevier, vol. 88(C), pages 44-56.
    8. Kaschützke, B. & Maurer, R., 2016. "Investing and Portfolio Allocation for Retirement," Handbook of the Economics of Population Aging, in: Piggott, John & Woodland, Alan (ed.), Handbook of the Economics of Population Aging, edition 1, volume 1, chapter 0, pages 567-608, Elsevier.
    9. Jinhui Zhang & Sachi Purcal & Jiaqin Wei, 2017. "Optimal Time to Enter a Retirement Village," Risks, MDPI, vol. 5(1), pages 1-20, March.
    10. 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.
    11. 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.
    12. Bong-Gyu Jang & Hyeng Keun Koo & Yuna Rhee, 2016. "Asset demands and consumption with longevity risk," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(3), pages 587-633, August.
    13. Fang, H., 2016. "Insurance Markets for the Elderly," Handbook of the Economics of Population Aging, in: Piggott, John & Woodland, Alan (ed.), Handbook of the Economics of Population Aging, edition 1, volume 1, chapter 0, pages 237-309, Elsevier.
    14. Han, Nan-Wei & Hung, Mao-Wei, 2021. "The annuity puzzle and consumption hump under ambiguous life expectancy," Insurance: Mathematics and Economics, Elsevier, vol. 100(C), pages 76-88.
    15. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Dus, Ivica, 2008. "Following the rules: Integrating asset allocation and annuitization in retirement portfolios," Insurance: Mathematics and Economics, Elsevier, vol. 42(1), pages 396-408, February.
    16. Narat Charupat & Mark J. Kamstra & Moshe A. Milevsky, 2016. "The Sluggish and Asymmetric Reaction of Life Annuity Prices to Changes in Interest Rates," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 83(3), pages 519-555, September.
    17. Huang, Huaxiong & Milevsky, Moshe A., 2016. "Longevity risk and retirement income tax efficiency: A location spending rate puzzle," Insurance: Mathematics and Economics, Elsevier, vol. 71(C), pages 50-62.
    18. Wei-Ting Pan, 2016. "The Impact of Mandatory Savings on Life Cycle Consumption and Portfolio Choice," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 2-2016.
    19. Stamos, Michael Z., 2008. "Optimal consumption and portfolio choice for pooled annuity funds," Insurance: Mathematics and Economics, Elsevier, vol. 43(1), pages 56-68, August.
    20. Alicia H. Munnell & Gal Wettstein & Wenliang Hou, 2022. "How best to annuitize defined contribution assets?," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 89(1), pages 211-235, March.

    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:eee:ejores:v:299:y:2022:i:1:p:346-361. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    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.