IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2407.19190.html

Optimal retirement in presence of stochastic labor income: a free boundary approach in an incomplete market

Author

Listed:
  • Daniele Marazzina

Abstract

In this work, we address the optimal retirement problem in the presence of a stochastic wage, formulated as a free boundary problem. Specifically, we explore an incomplete market setting where the wage cannot be perfectly hedged through investments in the risk-free and risky assets that characterize the financial market.

Suggested Citation

  • Daniele Marazzina, 2024. "Optimal retirement in presence of stochastic labor income: a free boundary approach in an incomplete market," Papers 2407.19190, arXiv.org, revised Mar 2025.
    • Handle: RePEc:arx:papers:2407.19190
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2407.19190
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. Ding, Guodong & Marazzina, Daniele, 2022. "The impact of liquidity constraints and cashflows on the optimal retirement problem," Finance Research Letters, Elsevier, vol. 49(C).
    4. Guodong Ding & Daniele Marazzina, 2024. "Effect of labour income on the optimal bankruptcy problem," Annals of Operations Research, Springer, vol. 336(1), pages 773-795, May.
    5. He, Hua & Pearson, Neil D., 1991. "Consumption and portfolio policies with incomplete markets and short-sale constraints: The infinite dimensional case," Journal of Economic Theory, Elsevier, vol. 54(2), pages 259-304, August.
    6. Lucie Teplå, 2000. "Optimal Hedging and Valuation of Nontraded Assets," Review of Finance, European Finance Association, vol. 4(3), pages 231-251.
    Full references (including those not matched with items on IDEAS)

    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. John H. Cochrane, 2014. "A Mean-Variance Benchmark for Intertemporal Portfolio Theory," Journal of Finance, American Finance Association, vol. 69(1), pages 1-49, February.
    2. 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.
    3. 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.
    4. Dirk Becherer & Wilfried Kuissi-Kamdem & Olivier Menoukeu-Pamen, 2023. "Optimal consumption with labor income and borrowing constraints for recursive preferences," Working Papers hal-04017143, HAL.
    5. Luca Benzon & Olena Chyruk, 2015. "The Value and Risk of Human Capital," Annual Review of Financial Economics, Annual Reviews, vol. 7(1), pages 179-200, December.
    6. Kamma, Thijs & Pelsser, Antoon, 2022. "Near-optimal asset allocation in financial markets with trading constraints," European Journal of Operational Research, Elsevier, vol. 297(2), pages 766-781.
    7. Suresh M. Sundaresan, 2000. "Continuous‐Time Methods in Finance: A Review and an Assessment," Journal of Finance, American Finance Association, vol. 55(4), pages 1569-1622, August.
    8. Jeon, Junkee & Park, Kyunghyun, 2023. "Optimal job switching and retirement decision," Applied Mathematics and Computation, Elsevier, vol. 443(C).
    9. Wahid Faidi & Hanen Mezghanni & Mohamed Mnif, 2019. "Expected Utility Maximization Problem Under State Constraints and Model Uncertainty," Journal of Optimization Theory and Applications, Springer, vol. 183(3), pages 1123-1152, December.
    10. Wenyuan Li & Pengyu Wei, 2024. "Constrained portfolio optimization in a life-cycle model," Papers 2410.20060, arXiv.org.
    11. repec:dau:papers:123456789/5374 is not listed on IDEAS
    12. 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.
    13. Hajivassiliou, Vassilis A. & Ioannides, Yannis M., 1996. "Duality and liquidity constraints under uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 20(6-7), pages 1177-1192.
    14. Bäuerle Nicole & Chen An, 2019. "Optimal retirement planning under partial information," Statistics & Risk Modeling, De Gruyter, vol. 36(1-4), pages 37-55, December.
    15. Schwartz, Eduardo S & Tebaldi, Claudio, 2004. "Illiquid Assets and Optimal Portfolio Choice," University of California at Los Angeles, Anderson Graduate School of Management qt7q65t12x, Anderson Graduate School of Management, UCLA.
    16. Barbachan, José Santiago Fajardo, 2003. "Optimal Consumption and Investment with Lévy Processes," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 57(4), October.
    17. Ding, Guodong & Marazzina, Daniele, 2022. "The impact of liquidity constraints and cashflows on the optimal retirement problem," Finance Research Letters, Elsevier, vol. 49(C).
    18. Ryle Perera, 2013. "Optimal investment, consumption–leisure, insurance and retirement choice," Annals of Finance, Springer, vol. 9(4), pages 689-723, November.
    19. Duffie, Darrell & Fleming, Wendell & Soner, H. Mete & Zariphopoulou, Thaleia, 1997. "Hedging in incomplete markets with HARA utility," Journal of Economic Dynamics and Control, Elsevier, vol. 21(4-5), pages 753-782, May.
    20. 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.
    21. Junkee Jeon & Hyeng Keun Koo & Minsuk Kwak, 2024. "Human capital and portfolio choice: borrowing constraint and reversible retirement," Mathematics and Financial Economics, Springer, volume 18, number 5, March.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    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:arx:papers:2407.19190. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.