IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v353y2019icp208-214.html

Optimal stopping of a killed exponentially growing process

Author

Listed:
  • Armerin, F.

Abstract

We consider a finite horizon optimal stopping problem with a gain function equal to the call option’s. The value of the underlying process grows exponentially until a Poisson process jumps for the first time, at which the process jumps to zero and stays there forever. As applications of this model we consider valuing real options and options written on the stock of a start-up company.

Suggested Citation

  • Armerin, F., 2019. "Optimal stopping of a killed exponentially growing process," Applied Mathematics and Computation, Elsevier, vol. 353(C), pages 208-214.
    • Handle: RePEc:eee:apmaco:v:353:y:2019:i:c:p:208-214
    DOI: 10.1016/j.amc.2019.02.006
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300319301043
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2019.02.006?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    2. Reiss, Ariane, 1998. "Investment in Innovations and Competition: An Option Pricing Approach," The Quarterly Review of Economics and Finance, Elsevier, vol. 38(3, Part 2), pages 635-650.
    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. Charalampopoulos, George & Katsianis, Dimitris & Varoutas, Dimitris, 2020. "Investigating the intertwining impact of wholesale access pricing and the commitment to net neutrality principle on European next-generation access networks private investment plans: An options-game a," Telecommunications Policy, Elsevier, vol. 44(3).
    2. Jeon, Haejun, 2015. "Patent infringement, litigation, and settlement," Economic Modelling, Elsevier, vol. 51(C), pages 99-111.
    3. Véronique Bastin & Albert Corhay & Georges H√ºbner & Pierre-Armand Michel, 2003. "Development path and capital structure of Belgian biotechnology firms," Chapters, in: Paul Butzen & Catherine Fuss (ed.), Firms’ Investment and Finance Decisions, chapter 8, pages 167-193, Edward Elgar Publishing.
    4. Adriana Breccia & Hector Salgado-Banda, 2006. "Competing or Colluding in a Stochastic Environment," Computing in Economics and Finance 2006 423, Society for Computational Economics.
    5. Alan C. Marco, 2005. "The option value of patent litigation: Theory and evidence," Review of Financial Economics, John Wiley & Sons, vol. 14(3-4), pages 323-351.
    6. Jou, Jyh-Bang, 2018. "R&D investment and patent renewal decisions," The Quarterly Review of Economics and Finance, Elsevier, vol. 69(C), pages 144-154.
    7. Adriana Breccia & Hector Salgado-Banda, 2005. "Competing or Colluding in a Stochastic Framework," Birkbeck Working Papers in Economics and Finance 0504, Birkbeck, Department of Economics, Mathematics & Statistics.
    8. Chi Leung & Yue Kwok, 2011. "Real options game analysis of sleeping patents," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 34(1), pages 41-65, May.
    9. Marco, Alan C., 2005. "The option value of patent litigation: Theory and evidence," Review of Financial Economics, Elsevier, vol. 14(3-4), pages 323-351.
    10. Salgado Banda Héctor & Breccia Adriana, 2005. "Competing or Colluding in a Stochastic Environment," Working Papers 2005-04, Banco de México.
    11. Ben Abdallah, Skander & Lasserre, Pierre, 2016. "Asset retirement with infinitely repeated alternative replacements: Harvest age and species choice in forestry," Journal of Economic Dynamics and Control, Elsevier, vol. 70(C), pages 144-164.
    12. Ansgar Belke & Matthias Göcke & Martin Günther, 2009. "When Does It Hurt?: The Exchange Rate "Pain Threshold" for German Exports," Discussion Papers of DIW Berlin 943, DIW Berlin, German Institute for Economic Research.
    13. Timothy Erickson & Toni M. Whited, 2010. "Erratum: Measurement Error and the Relationship between Investment and q," Journal of Political Economy, University of Chicago Press, vol. 118(6), pages 1252-1257.
    14. Sevcan Yesiltas, 2009. "Financing Constraints and Investment: The Case of Turkish Manufacturing Firms," 2009 Meeting Papers 874, Society for Economic Dynamics.
    15. T Heikkinen & K Pietola, 2006. "Rural Investment and the Cost of Income Uncertainty," ERSA conference papers ersa06p51, European Regional Science Association.
    16. Arve, Malin & Zwart, Gijsbert, 2023. "Optimal procurement and investment in new technologies under uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 147(C).
    17. Shively, Gerald E., 2001. "Price thresholds, price volatility, and the private costs of investment in a developing country grain market," Economic Modelling, Elsevier, vol. 18(3), pages 399-414, August.
    18. Davide Sala & Erdal Yalcin, 2012. "Export Experience of Managers and the Internationalization of Firms," ifo Working Paper Series 139, ifo Institute - Leibniz Institute for Economic Research at the University of Munich.
    19. Michael Toman, 1998. "Research Frontiers in the Economics of Climate Change," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 11(3), pages 603-621, April.
    20. Daniele Vignoli & Letizia Mencarini & Giammarco Alderotti, 2018. "Is the Impact of Employment Uncertainty on Fertility Intentions Channeled by Subjective Well-Being?," Econometrics Working Papers Archive 2018_04, Universita' degli Studi di Firenze, Dipartimento di Statistica, Informatica, Applicazioni "G. Parenti".

    More about this item

    Keywords

    ;
    ;
    ;

    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:eee:apmaco:v:353:y:2019:i:c:p:208-214. 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: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.