IDEAS home Printed from https://ideas.repec.org/a/eee/finlet/v49y2022ics1544612322003816.html
   My bibliography  Save this article

The impact of liquidity constraints and cashflows on the optimal retirement problem

Author

Listed:
  • Ding, Guodong
  • Marazzina, Daniele

Abstract

In this work we analytically solve an optimal retirement problem, in which the agent optimally allocates consumption, leisure rate and invests in a risk-free and risky asset to maximize a gain function characterized by a power utility function of consumption and leisure, through the duality method. The model is general enough to be compatible with both lifetime debt repayments and pension plans. We impose different liquidity constraints and cashflows over different time spans and conduct a sensitivity analysis to discover the effect of this kind of constraint. We show that pre- and post-retirement constraints have opposite effects on optimal wealth threshold of retirement. Moreover, pre-retirement constraints do not impact on post-retirement control strategies, while the opposite does not hold true.

Suggested Citation

  • Ding, Guodong & Marazzina, Daniele, 2022. "The impact of liquidity constraints and cashflows on the optimal retirement problem," Finance Research Letters, Elsevier, vol. 49(C).
    • Handle: RePEc:eee:finlet:v:49:y:2022:i:c:s1544612322003816
    DOI: 10.1016/j.frl.2022.103159
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1544612322003816
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.frl.2022.103159?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Guodong Ding & Daniele Marazzina, 2021. "Effect of Labour Income on the Optimal Bankruptcy Problem," Papers 2106.15426, arXiv.org.
    2. 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.
    3. Byung Hwa Lim & Minsuk Kwak, 2019. "The impact of a partial borrowing limit on financial decisions," Quantitative Finance, Taylor & Francis Journals, vol. 19(5), pages 859-883, May.
    4. M. H. A. Davis & A. R. Norman, 1990. "Portfolio Selection with Transaction Costs," Mathematics of Operations Research, INFORMS, vol. 15(4), pages 676-713, November.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Daniele Marazzina, 2024. "Optimal retirement in presence of stochastic labor income: a free boundary approach in presence of an incomplete market," Papers 2407.19190, arXiv.org.

    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. Park, Seyoung, 2015. "A generalization of Yaari’s result on annuitization with optimal retirement," Economics Letters, Elsevier, vol. 137(C), pages 17-20.
    2. Guodong Ding & Daniele Marazzina, 2021. "Effect of Labour Income on the Optimal Bankruptcy Problem," Papers 2106.15426, arXiv.org.
    3. Jeon, Junkee & Park, Kyunghyun, 2023. "Optimal job switching and retirement decision," Applied Mathematics and Computation, Elsevier, vol. 443(C).
    4. Mehlkopf, R.J., 2011. "Risk sharing with the unborn," Other publications TiSEM fe8a8df6-455f-4624-af10-9, Tilburg University, School of Economics and Management.
    5. Chen, An & Vellekoop, Michel, 2017. "Optimal investment and consumption when allowing terminal debt," European Journal of Operational Research, Elsevier, vol. 258(1), pages 385-397.
    6. Barucci, Emilio & Biffis, Enrico & Marazzina, Daniele, 2023. "Health insurance, portfolio choice, and retirement incentives," European Journal of Operational Research, Elsevier, vol. 307(2), pages 910-921.
    7. 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.
    8. 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.
    9. Hyeng Keun Koo & Kum-Hwan Roh & Yong Hyun Shin, 2021. "Optimal consumption/investment and retirement with necessities and luxuries," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 94(2), pages 281-317, October.
    10. 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.
    11. Park, Seyoung, 2020. "Verification theorems for models of optimal consumption and investment with annuitization," Mathematical Social Sciences, Elsevier, vol. 103(C), pages 36-44.
    12. Junkee Jeon & Hyeng Keun Koo & Yong Hyun Shin & Zhou Yang, 2021. "An Integral Equation Representation for Optimal Retirement Strategies in Portfolio Selection Problem," Computational Economics, Springer;Society for Computational Economics, vol. 58(3), pages 885-914, October.
    13. Lee, Ho-Seok & Lim, Byung Hwa, 2023. "Personal bankruptcy and post-bankruptcy liquidity constraint," Journal of Banking & Finance, Elsevier, vol. 152(C).
    14. Florina Salaghe & Dimitra Papadovasilaki & Federico Guerrero & James Sundali, 2020. "Temptation and Retirement Accounts: A Story of Time Inconsistency and Bounded Rationality," Athens Journal of Business & Economics, Athens Institute for Education and Research (ATINER), vol. 6(3), pages 173-198, April.
    15. Doriana Ruffino, 2014. "Resuscitating Businessman Risk: A Rationale for Familiarity-Based Portfolios," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 17(1), pages 107-130, January.
    16. Jeon, Junkee & Park, Kyunghyun, 2020. "Dynamic asset allocation with consumption ratcheting post retirement," Applied Mathematics and Computation, Elsevier, vol. 385(C).
    17. Giorgio Ferrari & Shihao Zhu, 2023. "Optimal Retirement Choice under Age-dependent Force of Mortality," Papers 2311.12169, arXiv.org.
    18. Philip H. Dybvig & Hong Liu, 2011. "Verification Theorems for Models of Optimal Consumption and Investment with Retirement and Constrained Borrowing," Mathematics of Operations Research, INFORMS, vol. 36(4), pages 620-635, November.
    19. Bäuerle Nicole & Chen An, 2019. "Optimal retirement planning under partial information," Statistics & Risk Modeling, De Gruyter, vol. 36(1-4), pages 37-55, December.
    20. 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).

    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:eee:finlet:v:49:y:2022:i:c:s1544612322003816. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/frl .

    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.