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On the Relation Between Binomial and Trinomial Option Pricing Models

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  • Rubinstein, Mark

Abstract

This paper shows that the binomial option pricing model, suitably parameterized, is a special case of the explicit finite difference method.

Suggested Citation

  • Rubinstein, Mark, 2000. "On the Relation Between Binomial and Trinomial Option Pricing Models," Research Program in Finance, Working Paper Series qt3bw450n0, Research Program in Finance, Institute for Business and Economic Research, UC Berkeley.
    • Handle: RePEc:cdl:rpfina:qt3bw450n0
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    References listed on IDEAS

    as
    1. Boyle, Phelim P., 1988. "A Lattice Framework for Option Pricing with Two State Variables," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 23(1), pages 1-12, March.
    2. Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September.
    3. Brennan, Michael J. & Schwartz, Eduardo S., 1978. "Finite Difference Methods and Jump Processes Arising in the Pricing of Contingent Claims: A Synthesis," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 13(3), pages 461-474, September.
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    Cited by:

    1. Yuan Hu & Abootaleb Shirvani & W. Brent Lindquist & Frank J. Fabozzi & Svetlozar T. Rachev, 2020. "Option Pricing Incorporating Factor Dynamics in Complete Markets," JRFM, MDPI, vol. 13(12), pages 1-33, December.
    2. Cosma, Antonio & Galluccio, Stefano & Pederzoli, Paola & Scaillet, Olivier, 2020. "Early Exercise Decision in American Options with Dividends, Stochastic Volatility, and Jumps," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 55(1), pages 331-356, February.
    3. Yuan Hu & Abootaleb Shirvani & W. Brent Lindquist & Frank J. Fabozzi & Svetlozar T. Rachev, 2020. "Option Pricing Incorporating Factor Dynamics in Complete Markets," Papers 2011.08343, arXiv.org.
    4. Milanesi, Gastón Silverio, 2023. "Valoración de estrategias competitivas, acuerdos colaborativos y penalizaciones con Opciones Reales Multinomiales y Teoría de Juegos [Valuation of competitive strategies, collaborative agreements a," Revista de Métodos Cuantitativos para la Economía y la Empresa = Journal of Quantitative Methods for Economics and Business Administration, Universidad Pablo de Olavide, Department of Quantitative Methods for Economics and Business Administration, vol. 35(1), pages 360-388, June.
    5. Saied Simozar, 2019. "Adjustment to Risk Free Rate/ Violation of Put-Call Parity," Applied Economics and Finance, Redfame publishing, vol. 6(6), pages 80-96, November.
    6. Beyazıt, Mehmet Fuat & Koc, Erdogan, 2010. "An analysis of snow options for ski resort establishments," Tourism Management, Elsevier, vol. 31(5), pages 676-683.

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