IDEAS home Printed from https://ideas.repec.org/a/gam/jrisks/v6y2018i1p5-d128119.html
   My bibliography  Save this article

Optimal Investment under Cost Uncertainty

Author

Listed:
  • Jerome Detemple

    (Questrom School of Business, Boston University, Boston, MA 02215, USA)

  • Yerkin Kitapbayev

    (Questrom School of Business, Boston University, Boston, MA 02215, USA)

Abstract

This paper studies the valuation of real options when the cost of investment jumps at a random time. Three valuation formulas are derived. The first expresses the value of the project in terms of a collection of knockout barrier claims. The second identifies the premium relative to a project with delayed investment right and prices its components. The last one identifies the premium/discount relative to a project with constant cost equal to the post-jump cost and prices its components. All formulas are in closed form. The behavior of optimal investment boundaries and valuation components are examined.

Suggested Citation

  • Jerome Detemple & Yerkin Kitapbayev, 2018. "Optimal Investment under Cost Uncertainty," Risks, MDPI, vol. 6(1), pages 1-19, January.
    • Handle: RePEc:gam:jrisks:v:6:y:2018:i:1:p:5-:d:128119
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-9091/6/1/5/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-9091/6/1/5/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Hassett, Kevin A & Metcalf, Gilbert E, 1999. "Investment with Uncertain Tax Policy: Does Random Tax Policy Discourage Investment?," Economic Journal, Royal Economic Society, vol. 109(457), pages 372-393, July.
    2. Pindyck, Robert S., 1993. "Investments of uncertain cost," Journal of Financial Economics, Elsevier, vol. 34(1), pages 53-76, August.
    3. Roy Cerqueti & Daniele Marazzina & Marco Ventura, 2016. "Optimal Investment in Research and Development Under Uncertainty," Journal of Optimization Theory and Applications, Springer, vol. 168(1), pages 296-309, January.
    4. Carr, Peter, 1998. "Randomization and the American Put," The Review of Financial Studies, Society for Financial Studies, vol. 11(3), pages 597-626.
    5. Pawlina, Grzegorz & Kort, Peter M., 2005. "Investment under uncertainty and policy change," Journal of Economic Dynamics and Control, Elsevier, vol. 29(7), pages 1193-1209, July.
    6. Mark Broadie & Jérôme Detemple, 1997. "The Valuation of American Options on Multiple Assets," Mathematical Finance, Wiley Blackwell, vol. 7(3), pages 241-286, July.
    7. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    8. Leippold, Markus & Stromberg, Jacob, 2017. "Strategic technology adoption and hedging under incomplete markets," Journal of Banking & Finance, Elsevier, vol. 81(C), pages 181-199.
    9. Robert McDonald & Daniel Siegel, 1986. "The Value of Waiting to Invest," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(4), pages 707-727.
    10. Kevin A. Hassett, 1999. "Tax Policy and Investment," Books, American Enterprise Institute, number 53049, September.
    11. Siim Kallast & Andi Kivinukk, 2003. "Pricing and Hedging American Options Using Approximations by Kim Integral Equations," Review of Finance, Springer, vol. 7(3), pages 361-383.
    12. Siim Kallast & Andi Kivinukk, 2003. "Pricing and Hedging American Options Using Approximations by Kim Integral Equations," Review of Finance, European Finance Association, vol. 7(3), pages 361-383.
    13. Lambrecht, Bart & Perraudin, William, 2003. "Real options and preemption under incomplete information," Journal of Economic Dynamics and Control, Elsevier, vol. 27(4), pages 619-643, February.
    14. Broadie, Mark & Detemple, Jerome, 1995. "American Capped Call Options on Dividend-Paying Assets," The Review of Financial Studies, Society for Financial Studies, vol. 8(1), pages 161-191.
    15. Sebastian Jaimungal & Max O. de Souza & Jorge P. Zubelli, 2013. "Real option pricing with mean-reverting investment and project value," The European Journal of Finance, Taylor & Francis Journals, vol. 19(7-8), pages 625-644, September.
    16. Peter Carr & Robert Jarrow & Ravi Myneni, 2008. "Alternative Characterizations Of American Put Options," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 5, pages 85-103, World Scientific Publishing Co. Pte. Ltd..
    17. Margrabe, William, 1978. "The Value of an Option to Exchange One Asset for Another," Journal of Finance, American Finance Association, vol. 33(1), pages 177-186, March.
    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. Detemple, Jerome & Kitapbayev, Yerkin, 2020. "The value of green energy under regulation uncertainty," Energy Economics, Elsevier, vol. 89(C).
    2. Chuan-Chuan Ko & Tyrone T. Lin & Fu-Min Zeng & Chien-Yu Liu, 2018. "Optimum Technology Product Life Cycle Technology Innovation Investment-Using Compound Binomial Options," Risks, MDPI, vol. 6(3), pages 1-14, September.

    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. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    2. Marcel Philipp Müller & Sebastian Stöckl & Steffen Zimmermann & Bernd Heinrich, 2016. "Decision Support for IT Investment Projects," Business & Information Systems Engineering: The International Journal of WIRTSCHAFTSINFORMATIK, Springer;Gesellschaft für Informatik e.V. (GI), vol. 58(6), pages 381-396, December.
    3. Wilson, Nathan E., 2012. "Uncertain regulatory timing and market dynamics," International Journal of Industrial Organization, Elsevier, vol. 30(1), pages 102-115.
    4. Pawlina, Grzegorz & Kort, Peter M., 2005. "Investment under uncertainty and policy change," Journal of Economic Dynamics and Control, Elsevier, vol. 29(7), pages 1193-1209, July.
    5. Bart M. Lambrecht & Grzegorz Pawlina, 2010. "Corporate Finance and the (In)efficient Exercise of Real Options," Multinational Finance Journal, Multinational Finance Journal, vol. 14(3-4), pages 189-217, September.
    6. Jonathan Ziveyi, 2011. "The Evaluation of Early Exercise Exotic Options," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 12, July-Dece.
    7. Detemple, Jerome & Kitapbayev, Yerkin, 2020. "The value of green energy under regulation uncertainty," Energy Economics, Elsevier, vol. 89(C).
    8. Lambrecht, Bart M., 2017. "Real options in finance," Journal of Banking & Finance, Elsevier, vol. 81(C), pages 166-171.
    9. Jonathan Ziveyi, 2011. "The Evaluation of Early Exercise Exotic Options," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 2-2011, January-A.
    10. Wong, Kit Pong, 2011. "Progressive taxation and the intensity and timing of investment," Economic Modelling, Elsevier, vol. 28(1-2), pages 100-108, January.
    11. Jérôme Detemple, 1999. "American Options: Symmetry Properties," CIRANO Working Papers 99s-45, CIRANO.
    12. Linnerud, Kristin & Andersson, Ane Marte & Fleten, Stein-Erik, 2014. "Investment timing under uncertain renewable energy policy: An empirical study of small hydropower projects," Energy, Elsevier, vol. 78(C), pages 154-164.
    13. 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.
    14. Makoto Goto & Katsumasa Nishide & Ryuta Takashima, 2013. "Irreversible Investment under Competition with a Markov Switching Regime," KIER Working Papers 861, Kyoto University, Institute of Economic Research.
    15. Hanno Dihle, 2015. "Real Options in a Ramsey style Growth Model," Discussion Paper Series 32, Department of International Economic Policy, University of Freiburg, revised Dec 2015.
    16. Doriana Ruffino & Jonathan Treussard, 2006. "Lumps and Clusters in Duopolistic Investment Games: An Early Exercise Premium Approach," Boston University - Department of Economics - Working Papers Series WP2006-044, Boston University - Department of Economics.
    17. Graham, Jeffrey, 2011. "Strategic real options under asymmetric information," Journal of Economic Dynamics and Control, Elsevier, vol. 35(6), pages 922-934, June.
    18. Shackleton, Mark B. & Tsekrekos, Andrianos E. & Wojakowski, Rafal, 2004. "Strategic entry and market leadership in a two-player real options game," Journal of Banking & Finance, Elsevier, vol. 28(1), pages 179-201, January.
    19. Detemple, Jerome & Kitapbayev, Yerkin, 2022. "Optimal technology adoption for power generation," Energy Economics, Elsevier, vol. 111(C).
    20. Laura A. Wellman, 2017. "Mitigating political uncertainty," Review of Accounting Studies, Springer, vol. 22(1), pages 217-250, March.

    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:gam:jrisks:v:6:y:2018:i:1:p:5-:d:128119. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.