A Simulation of the Heston Model with Stochastic Volatility Using the Finite Difference Method
1Faculty of Information Technology, Vietnam National University of Agriculture, Hanoi 131000, Vietnam
Received: Feb 25, 2020 /
Revised: Jul 13, 2021 /
Published: Sep 29, 2020
Main Article Content
Abstract
In this study, we investigated one of the most popular stochastic volatility pricing models, the Heston model, for European options. This paper deals with the implementation of a finite difference scheme to solve a two-dimensional partial differential equation form of the Heston model. We explain in detail the explicit scheme for the Heston model, especially on the boundaries. Some simple ideas to modify the treatment on the boundaries, which leads to a lower computational cost, are also stated. The paper also covers comparisons between the explicit solution and the semi-analytical solution.
Keywords:
Heston model, European options, Stochastic Volatility, Finite difference method
Article Details
How to Cite
Giang, V., Hai, N., Hang, N., Hanh, N., & Huyen, N. (2020). A Simulation of the Heston Model with Stochastic Volatility Using the Finite Difference Method. Vietnam Journal of Agricultural Sciences, 3(1), 541-554. https://doi.org/10.31817/vjas.2020.3.1.07
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