Convergence Numerically of Trinomial Model in European Option Pricing
DOI:
https://doi.org/10.21632/irjbs.6.3.195-201Keywords:
convergence, option valuation, trinomial modelAbstract
A European option is a financial contract which gives its holder a right (but not an obligation) to buy or sell an underlying asset from writer at the time of expiry for a pre-determined price. The continuous European options pricing model is given by the Black-Scholes. The discrete model can be priced using the lattice models ih here we use trinomial model. We define the error simply as the difference between the trinomial approximation and the value computed by the Black-Scholes formula. An interesting characteristic about error is how to realize convergence of trinomial model option pricing to Black-Scholes option pricing. In this case we observe the convergence of Boyle trinomial model and trinomial model that built with Cox Ross Rubenstein theory.
References
Boyle, P. (1986). Option Valuation Using a Three-Jump Process. International Options Journal, Vol. 3, 7-12.
Boyle, P. (1988). A Lattice Framework for Option Pricing with Two State Variables. Journal of Financial and Quantitative Analysis, Vol 3, pp. 1-12.
Cox, J., Ross, S.A., Rubinstein M. (1979), Option Pricing: A Simplified Approach, Journal of Financial Economics 7, 229-263
Jarrow, R. & Rudd, A. (1982) Approximate option valuation for arbitrary stochastic processes. Journal of Financial Economics, Vol. 10, pp. 347-369.
John Hull and Alan White, «Pricing interest-rate derivative securities», The Review of Financial Studies, Vol 3, No. 4 (1990) pp. 573–592
Leisen, Dietmar., Matthias Reimer. (1996), Binomial models for option valuation-examining and improving convergence, Applied Mathematical Finance, 3, 319-346.
Takahashi, H. (2000), A Note on Pricing Derivatives in an Incomplete Markets, Hitotsubashi University.
Tian, Y. (1999). A flexible binomial option pricing model. The Journal of Futures Markets, Vol. 19, No. 7, pp. 817-843.
Tero, Haahtela. (2010), Recombining Trinomial Tree for Real Option Valuation with Changing Volatily, Helsinki University of Technology.
Downloads
Submitted
Published
How to Cite
Issue
Section
License
Copyright (c) 2013 Entit Puspita, Fitriani Agustina, Ririn Sispiyati

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Journal Author(s) Rights
For IRJBS to publish and disseminate research articles, we need publishing rights (transferred from the author(s) to the publisher). This is determined by a publishing agreement between the Author(s) and IRJBS. This agreement deals with the transfer or license of the copyright of publishing to IRJBS, while Authors still retain significant rights to use and share their own published articles. IRJBS supports the need for authors to share, disseminate and maximize the impact of their research and these rights, in any databases.
As a journal Author, you have rights to many uses of your article, including use by your employing institute or company. These Author rights can be exercised without the need to obtain specific permission. Authors publishing in IRJBS journals have comprehensive rights to use their works for teaching and scholarly purposes without needing to seek permission, including:
- use for classroom teaching by Author or Author's institution and presentation at a meeting or conference and distributing copies to attendees;
- use for internal training by the author's company;
- distribution to colleagues for their research use;
- use in a subsequent compilation of the author's works;
- inclusion in a thesis or dissertation;
- reuse of portions or extracts from the article in other works (with full acknowledgment of the final article);
- preparation of derivative works (other than commercial purposes) (with full acknowledgment of the final article);
- voluntary posting on open websites operated by the author or the author’s institution for scholarly purposes,
(But it should follow the open access license of Creative Common CC-by-SA License).
Authors/Readers/Third Parties can copy and redistribute the material in any medium or format, as well as remix, transform, and build upon the material for any purpose, even commercially. Still, they must give appropriate credit (the name of the creator and attribution parties (authors' detail information), a copyright notice, an open access license notice, a disclaimer notice, and a link to the material), provide a link to the license, and indicate if changes were made (Publisher indicates the modification of the material (if any) and retain an indication of previous modifications.
Authors/Readers/Third Parties can read, print and download, redistribute or republish the article (e.g. display in a repository), translate the article, download for text and data mining purposes, reuse portions or extracts from the article in other works, sell or re-use for commercial purposes, remix, transform, or build upon the material, they must distribute their contributions under the same license as the original Creative Commons Attribution-ShareAlike (CC BY-SA).
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.






