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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
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    File URL: https://mpra.ub.uni-muenchen.de/45731/1/MPRA_paper_45731.pdf
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    References listed on IDEAS

    as
    1. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
    2. 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.
    3. Graham, Jeffrey, 2011. "Strategic real options under asymmetric information," Journal of Economic Dynamics and Control, Elsevier, vol. 35(6), pages 922-934, June.
    4. 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.
    5. Robert McDonald & Daniel Siegel, 1986. "The Value of Waiting to Invest," The Quarterly Journal of Economics, Oxford University Press, vol. 101(4), pages 707-727.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Asymptotic solution; Real option; Stochastic duopoly game; Stochastic volatility.;

    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

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