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Generalized Binomial Trees

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Author Info
Jackwerth, Jens Carsten

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Abstract

We consider the problem of consistently pricing new options given the prices of related options on the same stock. The Black-Scholes formula and standard binomial trees can only accommodate one related European option which then effectively specifies the volatility parameter. Implied binomial trees can accommodate only related European options with the same time-to-expiration. The generalized binomial trees introduced here can accommodate any kind of related options (European, American, or exotic) with different times-to-expiration.

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File URL: http://mpra.ub.uni-muenchen.de/11635/
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Publisher Info
Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 11635.

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Date of creation: 19 Aug 1996
Date of revision: 12 May 1997
Handle: RePEc:pra:mprapa:11635

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Related research
Keywords: Generalized; Binomial; Tree; Trees;

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Find related papers by JEL classification:
G19 - Financial Economics - - General Financial Markets - - - Other
G0 - Financial Economics - - General

References listed on IDEAS
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  1. Rubinstein, Mark, 1994. " Implied Binomial Trees," Journal of Finance, American Finance Association, vol. 49(3), pages 771-818, July. [Downloadable!] (restricted)
  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. [Downloadable!] (restricted)
  3. Breeden, Douglas T & Litzenberger, Robert H, 1978. "Prices of State-contingent Claims Implicit in Option Prices," Journal of Business, University of Chicago Press, vol. 51(4), pages 621-51, October. [Downloadable!] (restricted)
  4. Mark Rubinstein., 1994. "Implied Binomial Trees," Research Program in Finance Working Papers RPF-232, University of California at Berkeley. [Downloadable!]
  5. Jackwerth, Jens Carsten & Rubinstein, Mark, 1996. " Recovering Probability Distributions from Option Prices," Journal of Finance, American Finance Association, vol. 51(5), pages 1611-32, December. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Terry Marsh & Takao Kobayashi, 2001. "The Contributions of Professors Fischer Black, Robert Merton, and Myron Scholes to the Financial Services Industry," CIRJE F-Series CIRJE-F-120, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
  2. Wael Bahsoun & Pawel Góra & Silvia Mayoral & Manuel Morales, . "Random Dynamics and Finance: Constructing Implied Binomial Trees from a Predetermined Stationary Den," Faculty Working Papers 13/06, School of Economics and Business Administration, University of Navarra. [Downloadable!]
  3. Ahmed Loulit, 2004. "Approximating equity volatility," Working Papers CEB 04-028.RS, Université Libre de Bruxelles, Solvay Brussels School of Economics and Management, Centre Emile Bernheim (CEB). [Downloadable!]
  4. Marsh, Terry A. & Takao Kobayashi, 1998. ""The Work of Fischer Black, Robert Merton, and Myron Scholes, and its Continuing Legacy"," CIRJE F-Series 98-F-4, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
  5. Marco Avellaneda, Craig Friedman, Richard Holmes, Dominick Samperi, 1997. "Calibrating volatility surfaces via relative-entropy minimization," Applied Mathematical Finance, Taylor and Francis Journals, vol. 4(1), pages 37-64, March. [Downloadable!] (restricted)
  6. Jackwerth, Jens Carsten & Rubinstein, Mark, 2003. "Recovering Probabilities and Risk Aversion from Option Prices and Realized Returns," MPRA Paper 11638, University Library of Munich, Germany, revised 2004. [Downloadable!]
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