Accurate radial basis functions technique for competitive and efficient solutions of non-linear Black-Scholes equations

Autores/as

  • Vinícius Magalhães Pinto Marques
  • Gisele Tessari Santos
  • Mauri Fortes Mauri Fortes Pesquisador Sênior – CNPq Instituto de Educação Tecnológica, IETEC. mauri.fortes@terra.com.br

DOI:

https://doi.org/10.20397/2177-6652/2020.v20i4.2040

Resumen

ABSTRACT

Objective: This article aims to solve the non-linear Black Scholes (BS) equation for European call options using Radial Basis Function (RBF) Multi-Quadratic (MQ) Method.

Methodology / Approach: This work uses the MQ RBF method applied to the solution of two complex models of nonlinear BS equation for prices of European call options with modified volatility. Linear BS models are also solved to visualize the effects of modified volatility.  Additionally, an adaptive scheme is implemented in time based on the Runge-Kutta-Fehlberg (RKF) method.

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Publicado

2020-11-24

Cómo citar

Pinto Marques, V. M., Santos, G. T., & Fortes, M. (2020). Accurate radial basis functions technique for competitive and efficient solutions of non-linear Black-Scholes equations. Revista Gestão & Tecnologia, 20(4), 60–83. https://doi.org/10.20397/2177-6652/2020.v20i4.2040