IDEAS home Printed from https://ideas.repec.org/a/spr/mathme/v75y2012i3p273-286.html
   My bibliography  Save this article

Optimal stopping with random exercise lag

Author

Listed:
  • Jukka Lempa

Abstract

We study optimal stopping with exponentially distributed exercise lag. We formalize the problem first in a general Markovian setting and derive a set of conditions under which the solution exists. In particular, no semicontinuity assumptions of the payoff function are needed. We analyze also some specific classes of lagged optimal stopping problems with one-dimensional diffusion dynamics where the solution can be characterized in closed form. Finally, the results are illustrated with an explicit example. Copyright Springer-Verlag 2012

Suggested Citation

  • Jukka Lempa, 2012. "Optimal stopping with random exercise lag," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 75(3), pages 273-286, June.
    • Handle: RePEc:spr:mathme:v:75:y:2012:i:3:p:273-286
    DOI: 10.1007/s00186-012-0384-7
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00186-012-0384-7
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s00186-012-0384-7?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. Alvarez, Luis H. R. & Keppo, Jussi, 2002. "The impact of delivery lags on irreversible investment under uncertainty," European Journal of Operational Research, Elsevier, vol. 136(1), pages 173-180, January.
    2. Bar-Ilan, Avner & Strange, William C, 1996. "Investment Lags," American Economic Review, American Economic Association, vol. 86(3), pages 610-622, June.
    3. Luis H. R. Alvarez, 2001. "Reward functionals, salvage values, and optimal stopping," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 54(2), pages 315-337, December.
    4. Kim, Ki Hong & Hwang, Seong Tae & Oh, Hyung Sik & Lee, Deok Joo, 2008. "The impact of investment lags on investment decision," European Journal of Operational Research, Elsevier, vol. 190(3), pages 696-707, November.
    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. Jukka Lempa, 2020. "Some results on optimal stopping under phase-type distributed implementation delay," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 91(3), pages 559-583, June.
    2. Guo, Peijun & Li, Yonggang, 2014. "Approaches to multistage one-shot decision making," European Journal of Operational Research, Elsevier, vol. 236(2), pages 612-623.
    3. Gapeev, Pavel V., 2020. "On the problems of sequential statistical inference for Wiener processes with delayed observations," LSE Research Online Documents on Economics 104072, London School of Economics and Political Science, LSE Library.
    4. Armerin, Fredrik & Song, Han-Suck, 2020. "A framework for modelling cash flow lags," Working Paper Series 20/17, Royal Institute of Technology, Department of Real Estate and Construction Management & Banking and Finance.
    5. Pavel V. Gapeev, 2020. "On the problems of sequential statistical inference for Wiener processes with delayed observations," Statistical Papers, Springer, vol. 61(4), pages 1529-1544, August.
    6. Fredrik Armerin & Han-Suck Song, 2021. "A framework for modelling cash flow lags," SN Business & Economics, Springer, vol. 1(10), pages 1-13, October.

    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. Jukka Lempa, 2020. "Some results on optimal stopping under phase-type distributed implementation delay," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 91(3), pages 559-583, June.
    2. Sarkar, Sudipto & Zhang, Chuanqian, 2013. "Implementation lag and the investment decision," Economics Letters, Elsevier, vol. 119(2), pages 136-140.
    3. Luis M. Abadie & José M. Chamorro, 2009. "Monte Carlo valuation of natural gas investments," Review of Financial Economics, John Wiley & Sons, vol. 18(1), pages 10-22, January.
    4. Madlener, Reinhard & Kumbaroglu, Gurkan & Ediger, Volkan S., 2005. "Modeling technology adoption as an irreversible investment under uncertainty: the case of the Turkish electricity supply industry," Energy Economics, Elsevier, vol. 27(1), pages 139-163, January.
    5. Jeon, Haejun, 2021. "Investment and financing decisions in the presence of time-to-build," European Journal of Operational Research, Elsevier, vol. 288(3), pages 1068-1084.
    6. Fredrik Armerin & Han-Suck Song, 2021. "A framework for modelling cash flow lags," SN Business & Economics, Springer, vol. 1(10), pages 1-13, October.
    7. Thijssen, Jacco J.J., 2015. "A model for irreversible investment with construction and revenue uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 57(C), pages 250-266.
    8. Bayraktar, Erhan & Egami, Masahiko, 2007. "The effects of implementation delay on decision-making under uncertainty," Stochastic Processes and their Applications, Elsevier, vol. 117(3), pages 333-358, March.
    9. M’hamed Gaïgi & Idris Kharroubi & Thomas Lim, 2020. "Optimal Exploitation of a General Renewable Natural Resource under State and Delay Constraints," Mathematics, MDPI, vol. 8(11), pages 1-25, November.
    10. Thijssen, Jacco J.J., 2022. "Optimal investment and abandonment decisions for projects with construction uncertainty," European Journal of Operational Research, Elsevier, vol. 298(1), pages 368-379.
    11. Bruder, Benjamin & Pham, Huyên, 2009. "Impulse control problem on finite horizon with execution delay," Stochastic Processes and their Applications, Elsevier, vol. 119(5), pages 1436-1469, May.
    12. Gechun Liang & Zhou Yang, 2018. "Analysis of the optimal exercise boundary of American put options with delivery lags," Papers 1805.02909, arXiv.org, revised Dec 2020.
    13. Sarkar, Sudipto & Zhang, Chuanqian, 2015. "Investment policy with time-to-build," Journal of Banking & Finance, Elsevier, vol. 55(C), pages 142-156.
    14. Kim, Ki Hong & Hwang, Seong Tae & Oh, Hyung Sik & Lee, Deok Joo, 2008. "The impact of investment lags on investment decision," European Journal of Operational Research, Elsevier, vol. 190(3), pages 696-707, November.
    15. MacDougall, Shelley L. & Pike, Richard H., 2003. "Consider your options: changes to strategic value during implementation of advanced manufacturing technology," Omega, Elsevier, vol. 31(1), pages 1-15, February.
    16. Shackleton, Mark B. & Sødal, Sigbjørn, 2010. "Harvesting and recovery decisions under uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 34(12), pages 2533-2546, December.
    17. Wong, Kit Pong, 2011. "Progressive taxation and the intensity and timing of investment," Economic Modelling, Elsevier, vol. 28(1-2), pages 100-108, January.
    18. Panagiotidis, Theodore & Printzis, Panagiotis, 2020. "What is the investment loss due to uncertainty?," Global Finance Journal, Elsevier, vol. 45(C).
    19. N. Bloom, 2016. "Fluctuations in uncertainty," Voprosy Ekonomiki, NP Voprosy Ekonomiki, issue 4.
    20. Agliardi, Elettra & Koussis, Nicos, 2013. "Optimal capital structure and the impact of time-to-build," Finance Research Letters, Elsevier, vol. 10(3), pages 124-130.

    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:spr:mathme:v:75:y:2012:i:3:p:273-286. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.