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Portfolio selection with consumption ratcheting

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  • Jeon, Junkee
  • Koo, Hyeng Keun
  • Shin, Yong Hyun

Abstract

In this paper we study the portfolio selection problem of a finite-lived agent who does not tolerate a decline in standard of living. The preference can be regarded as exhibiting extreme-form of habit formation and also related to loss aversion in the prospect theory. We show that the agent’s optimal portfolio exhibits a trend chasing behavior and the portfolio share of the risky asset fluctuates between 0 and the value of an unconstrained individual; the fluctuations do not attenuate as time gets near the end of the planning horizon. We also explore implications of the model for asset pricing and show that the model has a potential to match better the recent US data than traditional habit models. We provide a complete solution to the problem by considering a transformed problem, which is similar in its formal structure to an irreversible incremental investment problem and equivalent to an infinite series of optimal stopping problems.

Suggested Citation

  • Jeon, Junkee & Koo, Hyeng Keun & Shin, Yong Hyun, 2018. "Portfolio selection with consumption ratcheting," Journal of Economic Dynamics and Control, Elsevier, vol. 92(C), pages 153-182.
    • Handle: RePEc:eee:dyncon:v:92:y:2018:i:c:p:153-182
    DOI: 10.1016/j.jedc.2018.05.003
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    Cited by:

    1. Hansjoerg Albrecher & Pablo Azcue & Nora Muler, 2020. "Optimal ratcheting of dividends in a Brownian risk model," Papers 2012.10632, arXiv.org.
    2. Kyoung Jin Choi & Junkee Jeon & Hyeng Keun Koo, 2018. "Duesenberry's Theory of Consumption: Habit, Learning, and Ratcheting," Papers 1812.10038, arXiv.org.
    3. Hyun Jin Jang & Zuo Quan Xu & Harry Zheng, 2020. "Optimal Investment, Heterogeneous Consumption and Best Time for Retirement," Papers 2008.00392, arXiv.org, revised Jun 2022.
    4. Ferrari, Giorgio & Zhu, Shihao, 2023. "Optimal Retirement Choice under Age-dependent Force of Mortality," Center for Mathematical Economics Working Papers 683, Center for Mathematical Economics, Bielefeld University.
    5. Giorgio Ferrari & Shihao Zhu, 2023. "Optimal Retirement Choice under Age-dependent Force of Mortality," Papers 2311.12169, arXiv.org.
    6. Chen, Guodong & Lee, Minjoon & Nam, Tong-yob, 2020. "Forced retirement risk and portfolio choice," Journal of Empirical Finance, Elsevier, vol. 58(C), pages 293-315.
    7. Jeon, Junkee & Koo, Hyeng Keun & Park, Kyunghyun, 2021. "Finite horizon portfolio selection with durable goods," Mathematical Social Sciences, Elsevier, vol. 111(C), pages 55-67.
    8. Junkee Jeon & Hyeng Keun Koo & Kyunghyun Park, 2018. "Optimal Insurance with Limited Commitment in a Finite Horizon," Papers 1812.11669, arXiv.org, revised Jan 2019.
    9. Bahman Angoshtari & Erhan Bayraktar & Virginia R. Young, 2021. "Optimal Investment and Consumption under a Habit-Formation Constraint," Papers 2102.03414, arXiv.org, revised Nov 2021.
    10. Choi, Kyoung Jin & Jeon, Junkee & Koo, Hyeng Keun, 2022. "Intertemporal preference with loss aversion: Consumption and risk-attitude," Journal of Economic Theory, Elsevier, vol. 200(C).
    11. Jeon, Junkee & Park, Kyunghyun, 2020. "Dynamic asset allocation with consumption ratcheting post retirement," Applied Mathematics and Computation, Elsevier, vol. 385(C).
    12. Junkee Jeon & Kyunghyun Park, 2021. "Portfolio selection with drawdown constraint on consumption: a generalization model," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 93(2), pages 243-289, April.
    13. Chonghu Guan & Zuo Quan Xu, 2023. "Optimal ratcheting of dividend payout under Brownian motion surplus," Papers 2308.15048, arXiv.org.

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    More about this item

    Keywords

    Portfolio selection; Intolerance for decline in consumption; Risk attitude; Asset pricing;
    All these keywords.

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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