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Optimal job switching and retirement decision

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  • Jeon, Junkee
  • Park, Kyunghyun

Abstract

In this paper, we study the effects of two labor flexible features, a job switching opportunity and a retirement option, on the optimal strategies. We assume that the agent’s preferences are represented by a Cobb–Douglas utility function, expressed as a function of consumption and leisure. As long as the agent is working, the agent can choose one of two jobs at any time, and this choice is reversible. However, once the decision to retire is made, the agent is no longer able to work, so this decision is irreversible. We use the martingale method and study the dual problem expressed as an optimal stopping problem. By characterizing two wealth boundaries arising from the labor flexible features, we show that there is job switching during the working time and that the retirement option is exercised under the job with a higher leisure rate. We also show that the presence of the job switching opportunity makes the agent work longer with an increased retirement boundary. Based on a closed-form solution, we discuss some properties of the optimal consumption and risky investment under the proposed labor flexible model.

Suggested Citation

  • Jeon, Junkee & Park, Kyunghyun, 2023. "Optimal job switching and retirement decision," Applied Mathematics and Computation, Elsevier, vol. 443(C).
    • Handle: RePEc:eee:apmaco:v:443:y:2023:i:c:s0096300322008451
    DOI: 10.1016/j.amc.2022.127777
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    References listed on IDEAS

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    1. M. Keith Chen & Judith A. Chevalier & Peter E. Rossi & Emily Oehlsen, 2019. "The Value of Flexible Work: Evidence from Uber Drivers," Journal of Political Economy, University of Chicago Press, vol. 127(6), pages 2735-2794.
    2. Ahn, Seryoong & Choi, Kyoung Jin & Lim, Byung Hwa, 2019. "Optimal Consumption and Investment under Time-Varying Liquidity Constraints," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 54(4), pages 1643-1681, August.
    3. Kyunghyun Park & Hyoseob Lee & Yong Hyun Shin, 2021. "Effects of a government subsidy and labor flexibility on portfolio selection and retirement," Quantitative Finance, Taylor & Francis Journals, vol. 21(6), pages 967-989, June.
    4. Bansal, Ravi & Kiku, Dana & Yaron, Amir, 2012. "An Empirical Evaluation of the Long-Run Risks Model for Asset Prices," Critical Finance Review, now publishers, vol. 1(1), pages 183-221, January.
    5. Zhou Yang & Hyeng Keun Koo, 2018. "Optimal Consumption and Portfolio Selection with Early Retirement Option," Mathematics of Operations Research, INFORMS, vol. 43(4), pages 1378-1404, November.
    6. 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.
    7. He, Hua & Pages, Henri F, 1993. "Labor Income, Borrowing Constraints, and Equilibrium Asset Prices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(4), pages 663-696, October.
    8. Nicole El Karoui & Monique Jeanblanc-Picqué, 1998. "Optimization of consumption with labor income," Finance and Stochastics, Springer, vol. 2(4), pages 409-440.
    9. 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.
    10. 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.
    11. R. Cont, 2001. "Empirical properties of asset returns: stylized facts and statistical issues," Quantitative Finance, Taylor & Francis Journals, vol. 1(2), pages 223-236.
    12. Cox, John C. & Huang, Chi-fu, 1989. "Optimal consumption and portfolio policies when asset prices follow a diffusion process," Journal of Economic Theory, Elsevier, vol. 49(1), pages 33-83, October.
    13. Merton, Robert C., 1980. "On estimating the expected return on the market : An exploratory investigation," Journal of Financial Economics, Elsevier, vol. 8(4), pages 323-361, December.
    14. Cuoco, Domenico, 1997. "Optimal Consumption and Equilibrium Prices with Portfolio Constraints and Stochastic Income," Journal of Economic Theory, Elsevier, vol. 72(1), pages 33-73, January.
    15. 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.
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    Cited by:

    1. Hu, Chunhua & Feng, Huarong, 2024. "Kinetic model for asset allocation with strategy switching," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 636(C).
    2. Zhou Yang & Junkee Jeon, 2023. "A Problem of Finite-Horizon Optimal Switching and Stochastic Control for Utility Maximization," Papers 2309.12588, arXiv.org.

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