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Analytic approach for models of optimal retirement with disability risk

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  • Chae, Jiwon
  • Jang, Bong-Gyu
  • Park, Seyoung

Abstract

Models of optimal retirement should reflect market incompleteness in reality caused by disability risk. In this paper, we develop an analytic approach for optimal retirement models with disability risk. More precisely, we provide an analytically tractable characterization of total wealth that is the sum of financial wealth and the present value of future income. We then provide analytic properties of the retirement wealth threshold. Finally, we derive the analytical optimal consumption and portfolio choice with retirement and disability risk.

Suggested Citation

  • Chae, Jiwon & Jang, Bong-Gyu & Park, Seyoung, 2023. "Analytic approach for models of optimal retirement with disability risk," Mathematical Social Sciences, Elsevier, vol. 126(C), pages 68-75.
    • Handle: RePEc:eee:matsoc:v:126:y:2023:i:c:p:68-75
    DOI: 10.1016/j.mathsocsci.2023.09.007
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    References listed on IDEAS

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    1. Hyeng Keun Koo, 1998. "Consumption and Portfolio Selection with Labor Income: A Continuous Time Approach," Mathematical Finance, Wiley Blackwell, vol. 8(1), pages 49-65, January.
    2. 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.
    3. 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.
    4. Jang, Bong-Gyu & Park, Seyoung & Rhee, Yuna, 2013. "Optimal retirement with unemployment risks," Journal of Banking & Finance, Elsevier, vol. 37(9), pages 3585-3604.
    5. Kyoung Jin Choi & Gyoocheol Shim, 2006. "Disutility, Optimal Retirement, And Portfolio Selection," Mathematical Finance, Wiley Blackwell, vol. 16(2), pages 443-467, April.
    6. Dybvig, Philip H. & Liu, Hong, 2010. "Lifetime consumption and investment: Retirement and constrained borrowing," Journal of Economic Theory, Elsevier, vol. 145(3), pages 885-907, May.
    7. Meyer, Bruce D. & Mok, Wallace K.C., 2019. "Disability, earnings, income and consumption," Journal of Public Economics, Elsevier, vol. 171(C), pages 51-69.
    8. Farhi, Emmanuel & Panageas, Stavros, 2007. "Saving and investing for early retirement: A theoretical analysis," Journal of Financial Economics, Elsevier, vol. 83(1), pages 87-121, January.
    9. Kathleen McGarry, 2004. "Health and Retirement: Do Changes in Health Affect Retirement Expectations?," Journal of Human Resources, University of Wisconsin Press, vol. 39(3).
    10. Kathryn H. Anderson & Richard V. Burkhauser, 1985. "The Retirement-Health Nexus: A New Measure of an Old Puzzle," Journal of Human Resources, University of Wisconsin Press, vol. 20(3), pages 315-330.
    11. Kyoung Jin Choi & Gyoocheol Shim & Yong Hyun Shin, 2008. "Optimal Portfolio, Consumption‐Leisure And Retirement Choice Problem With Ces Utility," Mathematical Finance, Wiley Blackwell, vol. 18(3), pages 445-472, July.
    12. Dwyer, Debra Sabatini & Mitchell, Olivia S., 1999. "Health problems as determinants of retirement: Are self-rated measures endogenous?," Journal of Health Economics, Elsevier, vol. 18(2), pages 173-193, April.
    13. Gloria J. Bazzoli, 1985. "The Early Retirement Decision: New Empirical Evidence on the Influence of Health," Journal of Human Resources, University of Wisconsin Press, vol. 20(2), pages 214-234.
    14. Alain Bensoussan & Bong-Gyu Jang & Seyoung Park, 2016. "Unemployment Risks and Optimal Retirement in an Incomplete Market," Operations Research, INFORMS, vol. 64(4), pages 1015-1032, August.
    15. Choi, Kyoung Jin & Jeon, Junkee & Lee, Ho-Seok & Lin, Hsuan-Chih, 2022. "Optimal long-term contracts with disability insurance under limited commitment," Insurance: Mathematics and Economics, Elsevier, vol. 104(C), pages 99-132.
    16. 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.
    17. Jang, Bong-Gyu & Park, Seyoung & Zhao, Huainan, 2020. "Optimal retirement with borrowing constraints and forced unemployment risk," Insurance: Mathematics and Economics, Elsevier, vol. 94(C), pages 25-39.
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