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Game options approach in company radical technological innovation with generalized poisson jump process

Author

Listed:
  • A. El Hajaji

    (,‡LERSEM Laboratory, ENCGJ, University of Chouaïb Doukkali, El Jadida, Morocco)

  • A. Serghini

    (#x2020;LANO Laboratory, FSO-ESTO, University Mohammed Premier, Oujda, Morocco)

  • K. Mokhlis

    (,‡LERSEM Laboratory, ENCGJ, University of Chouaïb Doukkali, El Jadida, Morocco)

  • K. Hilal

    (#xA7;LMC Laboratory, FST, University of Sultan Moulay Slimane, Beni-Mellal, Morocco)

  • E. B. Mermri

    (#xB6;Department of Mathematics and Computer Science, FS, University Mohammed Premier, Oujda, Morocco)

Abstract

This paper presents the Generalized Poisson Jump Process to describe the effect of radical technological innovation on the market. It defines the market impact index of radical technological innovation, and constructs a real option game model for radical technological innovation. Besides, this paper develops a numerical method in the model to show that the market impact index of radical technological innovation and the Generalized Poisson Process parameter both have a good influence on both the investment value and investment limit.

Suggested Citation

  • A. El Hajaji & A. Serghini & K. Mokhlis & K. Hilal & E. B. Mermri, 2017. "Game options approach in company radical technological innovation with generalized poisson jump process," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 4(02n03), pages 1-18, June.
  • Handle: RePEc:wsi:ijfexx:v:04:y:2017:i:02n03:n:s2424786317500311
    DOI: 10.1142/S2424786317500311
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    References listed on IDEAS

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    1. Abbie Griffin & Brett Josephson & Gary Lilien & Fred Wiersema & Barry Bayus & Rajesh Chandy & Ely Dahan & Steve Gaskin & Ajay Kohli & Christopher Miller & Ralph Oliva & Jelena Spanjol, 2013. "Marketing’s roles in innovation in business-to-business firms: Status, issues, and research agenda," Marketing Letters, Springer, vol. 24(4), pages 323-337, December.
    2. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
    3. Dosi, Giovanni, 1993. "Technological paradigms and technological trajectories : A suggested interpretation of the determinants and directions of technical change," Research Policy, Elsevier, vol. 22(2), pages 102-103, April.
    4. Avlonitis, George J. & Salavou, Helen E., 2007. "Entrepreneurial orientation of SMEs, product innovativeness, and performance," Journal of Business Research, Elsevier, vol. 60(5), pages 566-575, May.
    5. Huang, Guanghui & Wan, Jianping, 2008. "A nonparametric approach for European option valuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(10), pages 2306-2316.
    6. Daming, You & Xiaohui, Yang & Wu, Desheng Dash & Guofan, Chen, 2014. "Option game with Poisson Jump Process in company radical technological innovation," Technological Forecasting and Social Change, Elsevier, vol. 81(C), pages 341-350.
    7. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
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