IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1606.08984.html
   My bibliography  Save this paper

Optimal Consumption, Investment and Housing with Means-tested Public Pension in Retirement

Author

Listed:
  • Johan G. Andreasson
  • Pavel V. Shevchenko
  • Alex Novikov

Abstract

In this paper, we develop an expected utility model for the retirement behavior in the decumulation phase of Australian retirees with sequential family status subject to consumption, housing, investment, bequest and government provided means-tested Age Pension. We account for mortality risk and risky investment assets, and introduce a health proxy to capture the decreasing level of consumption for older retirees. Then we find optimal housing at retirement, and optimal consumption and optimal risky asset allocation depending on age and wealth. The model is solved numerically as a stochastic control problem, and is calibrated using the maximum likelihood method on empirical data of consumption and housing from the Australian Bureau of Statistics 2009-2010 Survey. The model fits the characteristics of the data well to explain the behavior of Australian retirees. The key findings are the following: First, the optimal policy is highly sensitive to means-tested Age Pension early in retirement but this sensitivity fades with age. Secondly, the allocation to risky assets shows a complex relationship with the means-tested Age Pension that disappears once minimum withdrawal rules are enforced. As a general rule, when wealth decreases the proportion allocated to risky assets increases, due to the Age Pension working as a buffer against investment losses. Finally, couples can be more aggressive with risky allocations due to their longer life expectancy compared with singles.

Suggested Citation

  • Johan G. Andreasson & Pavel V. Shevchenko & Alex Novikov, 2016. "Optimal Consumption, Investment and Housing with Means-tested Public Pension in Retirement," Papers 1606.08984, arXiv.org.
    • Handle: RePEc:arx:papers:1606.08984
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1606.08984
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Alexandra Spicer & Olena Stavrunova & Susan Thorp, 2016. "How Portfolios Evolve after Retirement: Evidence from Australia," The Economic Record, The Economic Society of Australia, vol. 92(297), pages 241-267, June.
    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. George Kudrna & Alan D. Woodland, 2011. "Implications of the 2009 Age Pension Reform in Australia: A Dynamic General Equilibrium Analysis," The Economic Record, The Economic Society of Australia, vol. 87(277), pages 183-201, June.
    4. 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.
    5. Hardy Hulley & Rebecca Mckibbin & Andreas Pedersen & Susan Thorp, 2013. "Means-Tested Public Pensions, Portfolio Choice and Decumulation in Retirement," The Economic Record, The Economic Society of Australia, vol. 89(284), pages 31-51, March.
    6. Mariacristina De Nardi & Eric French & John B. Jones, 2010. "Why Do the Elderly Save? The Role of Medical Expenses," Journal of Political Economy, University of Chicago Press, vol. 118(1), pages 39-75, February.
    7. Erik Hurst & James P. Ziliak, 2006. "Do Welfare Asset Limits Affect Household Saving?: Evidence from Welfare Reform," Journal of Human Resources, University of Wisconsin Press, vol. 41(1).
    8. Cho, Sang-Wook (Stanley) & Sane, Renuka, 2013. "Means-Tested Age Pensions And Homeownership: Is There A Link?," Macroeconomic Dynamics, Cambridge University Press, vol. 17(6), pages 1281-1310, September.
    9. Ding, Jie & Kingston, Geoffrey & Purcal, Sachi, 2014. "Dynamic asset allocation when bequests are luxury goods," Journal of Economic Dynamics and Control, Elsevier, vol. 38(C), pages 65-71.
    10. Neumark, David & Powers, Elizabeth, 1998. "The effect of means-tested income support for the elderly on pre-retirement saving: evidence from the SSI program in the U.S," Journal of Public Economics, Elsevier, vol. 68(2), pages 181-206, May.
    11. Lee M. Lockwood, 2018. "Incidental Bequests and the Choice to Self-Insure Late-Life Risks," American Economic Review, American Economic Association, vol. 108(9), pages 2513-2550, September.
    12. 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.
    13. John Ameriks & Andrew Caplin & Steven Laufer & Stijn Van Nieuwerburgh, 2011. "The Joy of Giving or Assisted Living? Using Strategic Surveys to Separate Public Care Aversion from Bequest Motives," Journal of Finance, American Finance Association, vol. 66(2), pages 519-561, April.
    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. 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. Jinhui Zhang & Sachi Purcal & Jiaqin Wei, 2017. "Optimal Time to Enter a Retirement Village," Risks, MDPI, vol. 5(1), pages 1-20, March.
    3. Johan G. Andréasson & Pavel V. Shevchenko, 2017. "Assessment of Policy Changes to Means-Tested Age Pension Using the Expected Utility Model: Implication for Decisions in Retirement," Risks, MDPI, vol. 5(3), pages 1-21, September.
    4. Butt, Adam & Khemka, Gaurav & Warren, Geoffrey J., 2022. "Heterogeneity in optimal investment and drawdown strategies in retirement," Pacific-Basin Finance Journal, Elsevier, vol. 74(C).
    5. Whelan, Stephen & Atalay, Kadir & Hayward, Richard Donald, 2018. "Asset portfolio retirement decisions: the role of the tax and transfer system," SocArXiv akj8w, Center for Open Science.
    6. Johan G. Andreasson & Pavel V. Shevchenko, 2016. "The 2015-2017 policy changes to the means-tests of Australian Age Pension: implication to decisions in retirement," Papers 1611.08330, arXiv.org.
    7. Geoffrey J Warren, 2022. "Design of comprehensive income products for retirement using utility functions," Australian Journal of Management, Australian School of Business, vol. 47(1), pages 105-134, February.
    8. 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.
    9. Hero Ashman & Seth Neumuller, 2020. "Can Income Differences Explain the Racial Wealth Gap: A Quantitative Analysis," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 35, pages 220-239, January.
    10. Mariacristina De Nardi & Eric French & John Bailey Jones & Rory McGee, 2021. "Why Do Couples and Singles Save During Retirement?," Richmond Fed Economic Brief, Federal Reserve Bank of Richmond, vol. 21(09), pages 1-65, May.
    11. Charles Yuji Horioka & Luigi Ventura, 2024. "Do the Retired Elderly in Europe Decumulate Their Wealth? The Importance of Bequest Motives, Precautionary Saving, Public Pensions, and Homeownership," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 70(1), pages 187-212, March.
    12. 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.
    13. 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.
    14. Geoffrey Kingston & Susan Thorp, 2019. "Superannuation in Australia: A Survey of the Literature," The Economic Record, The Economic Society of Australia, vol. 95(308), pages 141-160, March.
    15. Mariacristina De Nardi & Eric French & John Bailey Jones & Rory McGee, 2021. "Why Do Couples and Singles Save during Retirement? Household Heterogeneity and its Aggregate Implications," NBER Working Papers 28828, National Bureau of Economic Research, Inc.
    16. Mariacristina De Nardi & Eric French & John Bailey Jones, 2016. "Medicaid Insurance in Old Age," American Economic Review, American Economic Association, vol. 106(11), pages 3480-3520, November.
    17. Groneck, Max & Ludwig, Alexander & Zimper, Alexander, 2016. "A life-cycle model with ambiguous survival beliefs," Journal of Economic Theory, Elsevier, vol. 162(C), pages 137-180.
    18. Margherita Borella & Mariacristina De Nardi & Eric French, 2018. "Who Receives Medicaid in Old Age? Rules and Reality," Fiscal Studies, John Wiley & Sons, vol. 39(1), pages 65-93, March.
    19. van der Vaart, J & Groneck, M & van Ooijen, R, 2024. "Health Inequalities and the Progressivity of Old-Age Social Insurance Programs," Health, Econometrics and Data Group (HEDG) Working Papers 24/20, HEDG, c/o Department of Economics, University of York.
    20. Hardy Hulley & Rebecca Mckibbin & Andreas Pedersen & Susan Thorp, 2013. "Means-Tested Public Pensions, Portfolio Choice and Decumulation in Retirement," The Economic Record, The Economic Society of Australia, vol. 89(284), pages 31-51, March.

    More about this item

    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:arx:papers:1606.08984. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.