Jackwerth, Jens Carsten (1996): Generalized Binomial Trees. Published in: Journal of Derivatives , Vol. 5, No. 2 : pp. 7-17.
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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.
Item Type: | MPRA Paper |
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Original Title: | Generalized Binomial Trees |
English Title: | Generalized Binomial Trees |
Language: | English |
Keywords: | Generalized; Binomial; Tree; Trees |
Subjects: | G - Financial Economics > G1 - General Financial Markets > G19 - Other G - Financial Economics > G0 - General |
Item ID: | 11635 |
Depositing User: | Jens Jackwerth |
Date Deposited: | 19 Nov 2008 06:44 |
Last Modified: | 28 Sep 2019 09:56 |
References: | Breeden, Douglas, and Robert Litzenberger, 1978, Prices of state-contingent claims implicit in options prices, Journal of Business 51, 621-651. Cox, John C., Stephen A. Ross, and Mark Rubinstein, 1979, Option pricing: a simplified approach, Journal of Financial Economics 7, 229-263. Derman, Emanuel, and Iraj Kani, 1994, Riding on a smile, RISK 7, No. 2, 32-39. Dupire, Bruno, 1994, Pricing with a smile, RISK 7, No. 1, 18-20. Jackwerth, Jens Carsten, and Mark Rubinstein, 1996, Recovering probability distributions from option prices, Journal of Finance 51, 1611-1631. Lagnado, Ron, and Stanley Osher, 1996, A technique for calibrating derivative security pricing models: numerical solutions of an inverse problem, working paper, CATS software and University of California at Los Angeles. Rubinstein, Mark, 1994, Implied binomial trees, Journal of Finance 49, 771-818. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/11635 |