PRICING BERMUDAN-TYPE CALL OPTION THROUGH BINOMIAL TREE METHOD
DOI:
https://doi.org/10.47312/aar.v3i01.135Abstract
Bermudan option is a type of option that has characteristics between American option and European option whose its value never exceeds the value of the American option and is never less than the European option. The objective of this research is to calculate Bermudan call option of John Keels Stock through the binomial tree method using statistics software of Matlab R2010a. Assessment of Bermudan type option relates to discrete issues, in which the Bermudan type option has a certain number of times of early exercise specified in the option contract, where such times can only be made at some time prior to the option due date. Precise pricing for Bermudan type option can be obtained by discrete models such as the binomial tree method, a numerical method that is one of the most popular approaches for calculating option prices. This research uses time series data obtained from BNI Financial Update Corner, FEB UGM. The Bermudan call option price calculation will be compared with the calculation of European option pricing and American option price with underlying asset without dividend. The results show that the price of John Keels's Bermudan type call option using the binomial tree method yields the same value as American type call option and European type call option.
Keywords: Bermudan Type Option, Binomial Tree Method, Matlab R2010a, Spss 20Downloads
References
Cox, J.C., Ross, S.A, & Rubinstein, M. (1979). Option Pricing: A Simplified Approach. Journal of Financial Economics, 7, 229 – 263.
Higham, J. D. (2004). An introduction To Financial Option Valuation. New York: Cambridge University Press.
Hull, J. C. (2012). Option, Futures and Other Derivatives, Eight Edition. New Jersey: Prentice Hall.
Lyuu, Y. D. (2002). Financial Engineering and Computation: Principles, Mathematics, Algorithms. Cambridge University Press.
Madura, J. (2008). Financial Institutions And Markets, Eight Edition. South-Western: Thomson.
Primandari, A. H. (2013). Teknik Ekstrapolasi Richardson Berulang pada Model Binomial Fleksibel Untuk Menentukan Harga Opsi Jual Amerika. [Thesis]. Yogyakarta: Universitas Gadjah Mada, Yogyakarta.
Rosadi, D. (2011). Ekonometrika dan Analisis Runtun Waktu Terapan dengan EViews. Yogyakarta: Andi Yogyakarta.
Schweizer, M. (2002). On Bermudan Option, “Advances in Finance Stochastics Essays in Honour of Dieter Sondermann”, Springer, 257 – 269.
Suharjo, B. (2013). Statistika Terapan Disertai Contoh dengan SPSS. Yogyakarta: Graha Ilmu.
Zhu, Y. L., Wu, X., & Chern, I.L. (2004). Derivative Securities and Difference Methods, Springer, 376 – 377.
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