Constant elasticity of variance model: An application in the stock market of Lima
DOI:
https://doi.org/10.17268/sel.mat.2022.01.06Keywords:
Constant elasticity of variance, stochastic differential equation, elasticity factor, stochastic Runge Kutta method, Lima stock exchangeAbstract
The objective of this article is to present the constant elasticity of variance model, its main probabilistic aspects, and we implement the stochastic Runge Kutta method to simulate the sample trajectories based on the data of the CREDITC1 asset of the Bank of Credit from Perú taken from the Lima stock exchange.
References
Beckers S. The constant elasticity of variance model and its implications for option pricing. The J. of Finance. 1980; 35(3):661-673.
Black F, Scholes M. The pricing of options and corporate liabilities. J. Political Economic. 1973; 81(3):637-654.
Bolsa de Valores de Lima [Internet], información de Bolsa. Lima. 2022 [accesado 27 de mayo 2022]. Disponible en https://www.bvl.com.pe/
Burrage P, Burrage M. Order conditions of stochastic Runge Kutta methods by B series. SIAM J. Numer. Anal. 2000; 38(5):1626-1646.
Campbell J. Stock returns and the term structure, J. Financial Economics. 1987; 18(2):373-399.
Chen RR, Lee CF. A constant elasticity of variance family of stock price distributions in option pricing: Review and integration. J. Financial Studies. 1993; 1:29-51.
Cox J. The constant elasticity of variance option pricing model. The J. of Portfolio Management, 1996; 22:15-17.
Delbaen F, Shirakawa H. A Note of Option Pricing for Constant Elasticity of Variance Model. Asia-Pacific Financial Markets. 2002; 9:85-99.
Emanuel D, Macbeth J. Further results on the constant elasticity of variance call option pricing model, J. Financial and Quantitative Analysis. 1982: 17(4):533-554.
Hsu Y, Lin T, Lee C. Constant elasticity of variance (CEV) option pricing model: Integration and detailed derivation. Math. and Comp. in Simulation. 2008; 79(1):60-71.
Karatzas I, Shreve S. Brownian Motion and Stochastic Calculus. Graduate Texts in Mathematics. 2da. Edition. Springer-Verlag; 1998.
Quispe D. Probabilidad de transición y el enfoque chi cuadrado no central del modelo de valoración de opciones con elasticidad constante de la varianza[tésis de maestría].[Trujillo]. Universidad Nacional de Trujillo, 2016.
Rubio O. La Integral de Ito y ecuaciones diferenciales estocásticas[Tésis de maestría].[Lima]. Universidad Nacional de Ingeniería, 1990.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2022 Selecciones Matemáticas
This work is licensed under a Creative Commons Attribution 4.0 International License.
The authors who publish in this journal accept the following conditions:
1. The authors retain the copyright and assign to the journal the right of the first publication, with the work registered with the Creative Commons Attribution License,Atribución 4.0 Internacional (CC BY 4.0) which allows third parties to use what is published whenever they mention the authorship of the work And to the first publication in this magazine.
2. Authors may make other independent and additional contractual arrangements for non-exclusive distribution of the version of the article published in this journal (eg, include it in an institutional repository or publish it in a book) provided they clearly state that The paper was first published in this journal.
3. Authors are encouraged to publish their work on the Internet (for example, on institutional or personal pages) before and during the review and publication process, as it can lead to productive exchanges and to a greater and more rapid dissemination Of the published work.