Convergence Numerically of Trinomial Model in European Option Pricing

Authors

  • Entit Puspita FMIPA, Universitas Pendidikan Indonesia
  • Fitriani Agustina FMIPA, Universitas Pendidikan Indonesia
  • Ririn Sispiyati FMIPA, Universitas Pendidikan Indonesia

DOI:

https://doi.org/10.21632/irjbs.6.3.195-201

Keywords:

convergence, option valuation, trinomial model

Abstract

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

11/18/2025

Published

12/01/2013

How to Cite

Puspita, E., Agustina, F., & Sispiyati, R. (2013). Convergence Numerically of Trinomial Model in European Option Pricing. International Research Journal of Business Studies, 6(3), 195-201. https://doi.org/10.21632/irjbs.6.3.195-201

How to Cite

Puspita, E., Agustina, F., & Sispiyati, R. (2013). Convergence Numerically of Trinomial Model in European Option Pricing. International Research Journal of Business Studies, 6(3), 195-201. https://doi.org/10.21632/irjbs.6.3.195-201