IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/45731.html
   My bibliography  Save this paper

Strategic real options with stochastic volatility in a duopoly model

Author

Listed:
  • Huang, Bing
  • Cao, Jiling
  • Chung, Hyuck

Abstract

The investment-timing problem has been considered by many authors under the assumption that the instantaneous volatility of the demand shock is constant. Recently, Ting et al. [9] carried out an asymptotic approach in a monopoly model by letting the volatility parameter follow a stochastic process. In this paper, we consider a strategic game in which two firms compete for a new market under an uncertain demand, and extend the analysis of Ting et al. to duopoly models under different strategic game structures. In particular, we investigate how the additional uncertainty in the volatility affects the investment thresholds and payoffs of players. Several numerical examples and comparison of the results are provided to confirm our analysis.

Suggested Citation

  • Huang, Bing & Cao, Jiling & Chung, Hyuck, 2013. "Strategic real options with stochastic volatility in a duopoly model," MPRA Paper 45731, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:45731
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/45731/1/MPRA_paper_45731.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Ting, Sai Hung Marten & Ewald, Christian-Oliver & Wang, Wen-Kai, 2013. "On the investment–uncertainty relationship in a real option model with stochastic volatility," Mathematical Social Sciences, Elsevier, vol. 66(1), pages 22-32.
    2. Amir, Rabah & Lambson, Val E., 2003. "Entry, exit, and imperfect competition in the long run," Journal of Economic Theory, Elsevier, vol. 110(1), pages 191-203, May.
    3. Yao-Wen Hsu & Bart Lambrecht, 2007. "Preemptive patenting under uncertainty and asymmetric information," Annals of Operations Research, Springer, vol. 151(1), pages 5-28, April.
    4. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    5. 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.
    6. M. R. Grasselli & V. Leclère & M. Ludkovski, 2013. "Priority Option: The Value Of Being A Leader," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 1-37.
    7. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," The Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
    8. Graham, Jeffrey, 2011. "Strategic real options under asymmetric information," Journal of Economic Dynamics and Control, Elsevier, vol. 35(6), pages 922-934, June.
    9. Marseguerra, Giovanni & Cortelezzi, Flavia & Dominioni, Armando, 2006. "Investment timing decisions in a stochastic duopoly model," Chaos, Solitons & Fractals, Elsevier, vol. 29(3), pages 611-625.
    10. Brennan, Michael J & Schwartz, Eduardo S, 1985. "Evaluating Natural Resource Investments," The Journal of Business, University of Chicago Press, vol. 58(2), pages 135-157, April.
    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. Kim, Jeong-Hoon & Lee, Min-Ku & Sohn, So Young, 2014. "Investment timing under hybrid stochastic and local volatility," Chaos, Solitons & Fractals, Elsevier, vol. 67(C), pages 58-72.

    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. Seiji Harikae & James S. Dyer & Tianyang Wang, 2021. "Valuing Real Options in the Volatile Real World," Production and Operations Management, Production and Operations Management Society, vol. 30(1), pages 171-189, January.
    2. 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.
    3. Richter, Martin & Sørensen, Carsten, 2002. "Stochastic Volatility and Seasonality in Commodity Futures and Options: The Case of Soybeans," Working Papers 2002-4, Copenhagen Business School, Department of Finance.
    4. Bulan, Laarni & Mayer, Christopher & Somerville, C. Tsuriel, 2009. "Irreversible investment, real options, and competition: Evidence from real estate development," Journal of Urban Economics, Elsevier, vol. 65(3), pages 237-251, May.
    5. Detemple, Jerome & Kitapbayev, Yerkin, 2022. "Optimal technology adoption for power generation," Energy Economics, Elsevier, vol. 111(C).
    6. N. Bloom, 2016. "Fluctuations in uncertainty," Voprosy Ekonomiki, NP Voprosy Ekonomiki, issue 4.
    7. Miao, Jianjun & Wang, Neng, 2007. "Investment, consumption, and hedging under incomplete markets," Journal of Financial Economics, Elsevier, vol. 86(3), pages 608-642, December.
    8. Bar-Ilan, Avner & Strange, William C., 1998. "A model of sequential investment," Journal of Economic Dynamics and Control, Elsevier, vol. 22(3), pages 437-463, March.
    9. Tsekrekos, Andrianos E., 2010. "The effect of mean reversion on entry and exit decisions under uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 34(4), pages 725-742, April.
    10. Hugonnier, Julien & Morellec, Erwan, 2007. "Corporate control and real investment in incomplete markets," Journal of Economic Dynamics and Control, Elsevier, vol. 31(5), pages 1781-1800, May.
    11. Klaus Mohn & Petter Osmundsen, 2011. "Asymmetry and uncertainty in capital formation: an application to oil investment," Applied Economics, Taylor & Francis Journals, vol. 43(28), pages 4387-4401.
    12. Bolton, Patrick & Wang, Neng & Yang, Jinqiang, 2019. "Investment under uncertainty with financial constraints," Journal of Economic Theory, Elsevier, vol. 184(C).
    13. Pablo Moran, 2017. "Information Revelation in Merger Waves," The Review of Corporate Finance Studies, Society for Financial Studies, vol. 6(2), pages 174-233.
    14. 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.
    15. Delaney, Laura, 2021. "A model of investment under uncertainty with time to build, market incompleteness and risk aversion," European Journal of Operational Research, Elsevier, vol. 293(3), pages 1155-1167.
    16. Moon, Yongma & Baran, Mesut, 2018. "Economic analysis of a residential PV system from the timing perspective: A real option model," Renewable Energy, Elsevier, vol. 125(C), pages 783-795.
    17. Insley, M.C. & Wirjanto, T.S., 2010. "Contrasting two approaches in real options valuation: Contingent claims versus dynamic programming," Journal of Forest Economics, Elsevier, vol. 16(2), pages 157-176, April.
    18. Driver, Ciaran & Temple, Paul & Urga, Giovanni, 2008. "Real options -- delay vs. pre-emption: Do industrial characteristics matter?," International Journal of Industrial Organization, Elsevier, vol. 26(2), pages 532-545, March.
    19. Marco Antonio Guimaraes Dias & Jose Paulo Teixeira, 2010. "Continuous-Time Option Games: Review of Models and Extensions," Multinational Finance Journal, Multinational Finance Journal, vol. 14(3-4), pages 219-254, September.
    20. Gutiérrez, Óscar, 2020. "On the definition of the investment-uncertainty relationship," Journal of Economics and Business, Elsevier, vol. 112(C).

    More about this item

    Keywords

    Asymptotic solution; Real option; Stochastic duopoly game; Stochastic volatility.;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

    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:pra:mprapa:45731. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    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.