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Option Pricing with a General Market Point Process

Author

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  • Prigent, J.L.

Abstract

This paper examines the impact of a random number of stock prices changes on the valuation formula for options. The model introduces the structure of the general marked point process (MPP). The kind of models allows to take in account more general distributions of time interarrival: they need no longer to be deterministic or exponential with a constant parameter like in usual jump-diffusions models.

Suggested Citation

  • Prigent, J.L., 1997. "Option Pricing with a General Market Point Process," Papers 9736, Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor..
    • Handle: RePEc:fth:pnegmi:9736
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    Citations

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    Cited by:

    1. Pierre Perron & Eduardo Zorita & Wen Cao & Clifford Hurvich & Philippe Soulier, 2017. "Drift in Transaction-Level Asset Price Models," Journal of Time Series Analysis, Wiley Blackwell, vol. 38(5), pages 769-790, September.
    2. P. Bertrand & J.L. Prigent, 2000. "Portfolio Insurance : The extreme Value of the CCPI Method," THEMA Working Papers 2000-49, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    3. Peng Shi & Glenn M. Fung & Daniel Dickinson, 2022. "Assessing hail risk for property insurers with a dependent marked point process," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 185(1), pages 302-328, January.
    4. Hurvich, Cliiford & Wang, Yi, 2006. "A Pure-Jump Transaction-Level Price Model Yielding Cointegration, Leverage, and Nonsynchronous Trading Effects," MPRA Paper 1413, University Library of Munich, Germany.
    5. Farid MKAOUAR & Jean-luc PRIGENT, 2014. "Constant Proportion Portfolio Insurance under Tolerance and Transaction Costs," Working Papers 2014-303, Department of Research, Ipag Business School.
    6. Mauricio Junca & Rafael Serrano, 2014. "Utility maximization in pure-jump models driven by marked point processes and nonlinear wealth dynamics," Papers 1411.1103, arXiv.org, revised Sep 2015.
    7. Aue, Alexander & Horváth, Lajos & Hurvich, Clifford & Soulier, Philippe, 2014. "Limit Laws In Transaction-Level Asset Price Models," Econometric Theory, Cambridge University Press, vol. 30(3), pages 536-579, June.
    8. Xiufeng Yan, 2021. "Autoregressive conditional duration modelling of high frequency data," Papers 2111.02300, arXiv.org.
    9. Heidar Eyjolfsson & Dag Tjøstheim, 2018. "Self-exciting jump processes with applications to energy markets," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 70(2), pages 373-393, April.
    10. Fadugba, Sunday Emmanuel, 2020. "Homotopy analysis method and its applications in the valuation of European call options with time-fractional Black-Scholes equation," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).

    More about this item

    Keywords

    PRICES ; STOCKS;

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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