This file is part of IDEAS, which uses RePEc data


[ Papers | Articles | Software | Books | Chapters | Authors | Institutions | JEL Classification | NEP reports | Search | New papers by email | Author registration | Rankings | Volunteers | FAQ | Blog | Help! ]

Jump Diffusion Option Valuation in Discrete Time

Author info | Abstract | Publisher info | Download info | Related research | Statistics
Author Info
 Amin, Kaushik I
Abstract

The author develops a simple, discrete time model to value options when the underlying process follows a jump diffusion process. Multivariate jumps are superimposed on the binomial model of J. C. Cox, S. A. Ross, and M. Rubinstein (1979) to obtain a model with a limiting jump diffusion process. This model incorporates the early exercise feature of American options as well as arbitrary jump distributions. It yields an efficient computational procedure that can be implemented in practice. As an application of the model, the author illustrates some characteristics of the early exercise boundary of American options with certain types of jump distributions. Copyright 1993 by American Finance Association.

Download Info
To download:

If you experience problems downloading a file, check if you have the proper application to view it first. Information about this may be contained in the File-Format links below. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://links.jstor.org/sici?sici=0022-1082%28199312%2948%3A5%3C1833%3AJDOVID%3E2.0.CO%3B2-T&origin=repec
File Format: application/pdf
File Function: full text
Download Restriction: Access to full text is restricted to JSTOR subscribers. See http://www.jstor.org for details.

As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

Publisher Info
Article provided by American Finance Association in its journal Journal of Finance.

Volume (Year): 48 (1993)
Issue (Month): 5 (December)
Pages: 1833-63
Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Handle: RePEc:bla:jfinan:v:48:y:1993:i:5:p:1833-63

Contact details of provider:
Web page: http://www.afajof.org/
More information through EDIRC

Order Information:
Web: http://www.afajof.org/membership/join.asp

For technical questions regarding this item, or to correct its listing, contact: (Christopher F. Baum).

Related research
Keywords:

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. Carl Chiarella & Andrew Ziogas, 2006. "American Call Options on Jump-Diffusion Processes: A Fourier Transform Approach," Research Paper Series 174, Quantitative Finance Research Centre, University of Technology, Sydney. [Downloadable!]
  2. Dietmar P.J. Leisen, 1997. "The Random-Time Binomial Model," Finance 9711005, EconWPA, revised 29 Nov 1998. [Downloadable!]
  3. Constantinides, George M. & Jackwerth, Jens Carsten & Perrakis, Stylianos, 2007. "Option Pricing: Real and Risk-Neutral Distributions," MPRA Paper 11637, University Library of Munich, Germany. [Downloadable!]
    Other versions:
  4. Guidolin, Massimo & Timmermann, Allan G, 2001. "Option Prices under Bayesian Learning: Implied Volatility Dynamics and Predictive Densities," CEPR Discussion Papers 3005, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
    Other versions:
  5. Carl Chiarella & Andrew Ziogas, 2005. "Pricing American Options on Jump-Diffusion Processes using Fourier Hermite Series Expansions," Research Paper Series 145, Quantitative Finance Research Centre, University of Technology, Sydney. [Downloadable!]
    Other versions:
  6. Donald D. Aingworth & Sanjiv R. Das & Rajeev Motwani, 2006. "A simple approach for pricing equity options with Markov switching state variables," Quantitative Finance, Taylor and Francis Journals, vol. 6(2), pages 95-105, April. [Downloadable!] (restricted)
  7. N. Hilber & N. Reich & C. Schwab & C. Winter, 2009. "Numerical methods for Lévy processes," Finance and Stochastics, Springer, vol. 13(4), pages 471-500, September. [Downloadable!] (restricted)
  8. Dietmar Leisen, 2004. "Mixed Lognormal Distributions for Derivatives Pricing and Risk-Management," Computing in Economics and Finance 2004 48, Society for Computational Economics. [Downloadable!]
  9. Carl Chiarella & Boda Kang & Gunter H. Meyer & Andrew Ziogas, 2008. "The Evaluation of American Option Prices Under Stochastic Volatility and Jump-Diffusion Dynamics Using the Method of Lines," Research Paper Series 219, Quantitative Finance Research Centre, University of Technology, Sydney. [Downloadable!]
    Other versions:
  10. J.W. Nieuwenhuis & M.H. Vellekoop, 2004. "Weak convergence of tree methods, to price options on defaultable assets," Decisions in Economics and Finance, Springer, vol. 27(2), pages 87-107, December. [Downloadable!] (restricted)
  11. Lee, Gabriel S. & Boss, Michael & Klisz, Chris, 2001. "Empirical Performance of the Czech and Hungarian Index Options under Jump," Economics Series 91, Institute for Advanced Studies. [Downloadable!]
  12. Eric Benhamou, 2002. "Option pricing with Levy Process," Finance 0212006, EconWPA. [Downloadable!]
  13. Sanjiv Ranjan Das, 1997. "An Efficient Generalized Discrete-Time Approach to Poisson-Gaussian Bond Option Pricing in the Heath-Jarrow-Morton Model," NBER Technical Working Papers 0212, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  14. Cheng Lee & Gwo-Hshiung Tzeng & Shin-Yun Wang, 2005. "A Fuzzy Set Approach for Generalized CRR Model: An Empirical Analysis of S&P 500 Index Options," Review of Quantitative Finance and Accounting, Springer, vol. 25(3), pages 255-275, November. [Downloadable!] (restricted)
  15. Drost, F.C. & Nijman, T.E. & Werker, B.J.M., 1994. "Estimation and Testing in Models Containing Both Jumps and Conditional Heteroskedasticity," Discussion Paper 105, Tilburg University, Center for Economic Research. [Downloadable!]
    Other versions:
  16. C. Mancini, 2002. "The European options hedge perfectly in a Poisson-Gaussian stock market model," Applied Mathematical Finance, Taylor and Francis Journals, vol. 9(2), pages 87-102, June. [Downloadable!] (restricted)
  17. Yuji Yamada & James Primbs, 2004. "Properties of Multinomial Lattices with Cumulants for Option Pricing and Hedging," Asia-Pacific Financial Markets, Springer, vol. 11(3), pages 335-365, September. [Downloadable!] (restricted)
  18. Jun Yu & Zhenlin Yang & Xibin Zhang, 2002. "A Class of Nonlinear Stochastic Volatility Models and Its Implications on Pricing Currency Options," Monash Econometrics and Business Statistics Working Papers 17/02, Monash University, Department of Econometrics and Business Statistics. [Downloadable!]
    Other versions:
  19. Carl Chiarella & Andrew Ziogas, 2004. "McKean's Methods Applied to American Call Options on Jump-Diffusion Processes," Research Paper Series 117, Quantitative Finance Research Centre, University of Technology, Sydney. [Downloadable!]
    Other versions:
  20. Sanghoon Lee, 2004. "Approximation of A Jump-Diffusion Process," Econometric Society 2004 Far Eastern Meetings 412, Econometric Society. [Downloadable!]
  21. Dimitris Bertsimas & Leonid Kogan & Andrew W. Lo, 1997. "Pricing and Hedging Derivative Securities in Incomplete Markets: An E-Aritrage Model," NBER Working Papers 6250, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
Statistics
Access and download statistics

Did you know? Want to help out with this project? Look for volunteer opportunities.

This page was last updated on 2009-12-8.

This information is provided to you by IDEAS at the Department of Economics, College of Liberal Arts and Sciences, University of Connecticut using RePEc data on a server sponsored by the Society for Economic Dynamics.