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

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  • 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
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    References listed on IDEAS

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    5. Lee M. Lockwood, 2014. "Incidental Bequests and the Choice to Self-Insure Late-Life Risks," NBER Working Papers 20745, National Bureau of Economic Research, Inc.
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    8. 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.
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    10. 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.
    11. 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.
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