Comparing of the binomial model and the Black-Scholes model for options pricing
Abstract
In this paper will be considered the simple binomial model with one and more periods. It will be given the correspondence between binomial model and the Black-Scholes model for option pricing and also will be shown that the binomial model is more simple then the continuous Black-Scholes model from pedagogical point of view.
Literaturhinweise
Allen E., Modeling with Ito Stochastic Differential Equations, Springer, 2007.
Bass, R. F., The Basics of Financial Mathematics, Department of Mathematics, University of Connecticut, 2003, pp.1-43
Black, F., M. Scholes, The Pricing of Options and Corporate Liabilities, The Journal of Political Economy, Volume 81, Issue 3, May-June, 1973, pp.637-654.
Feng Y., C.C.Y. Kwan. Connecting Binomial and Black-Scholes Option Pricing Models: A Spreadsheet-Based Illustration, Spreadsheets in Education (eJSiE): Vol. 5: Iss. 3, Article 2, 2012.
Karatzas, I., and S. Shreve. Brownian Motion and Stochastic Calculus. Springer. 1998, pp.1-22
Oksendal, B., Stochastic differential equation. An introduction with applications, 5th. ed. Springer-Verlag Heidelberg New York,2000, pp. 1-4.
Teneng, D., Limitations of the Black-Scholes Model, International Research Journal of Finance and Economics, ISSN 1450-2887 Issue 68, © EuroJournals Publishing, Inc. 2011.
Trenca, I., M. M. Pochea, Options evaluation – Black-Scholes Model vs. Binomial option pricing model, Finance-Challenges of the future, Year IX, No.12, 2010