Numerical Solution of Fractional Black-Scholes Equation by Using the Multivariate Padé Approximation
نویسندگان
چکیده
منابع مشابه
Numerical Solution of Fractional Black Scholes Equation Based on Radial Basis Functions Method
Options pricing have an important role in risk control and risk management. Pricing discussion requires modelling process, solving methods and implementing the model by real data in a given market. In this paper we show a model for underlying asset based on fractional stochastic models which is a particular type of behavior of stochastic assets changing. In addition a numerical method based on ...
متن کاملNumerical Solutions for Fractional Black-Scholes Option Pricing Equation
In this article we have applied a numerical finite difference method to solve the Black-Scholes European and American option pricing both presented by fractional differential equations in time and asset.
متن کاملAnalytical Solution of Fractional Black-scholes European Option Pricing Equation by Using Laplace Transform
In this paper, Laplace homotopy perturbation method, which is combined form of the Laplace transform and the homotopy perturbation method, is employed to obtain a quick and accurate solution to the fractional Black Scholes equation with boundary condition for a European option pricing problem. The Black-Scholes formula is used as a model for valuing European or American call and put options on ...
متن کاملPseudo-spectral Matrix and Normalized Grunwald Approximation for Numerical Solution of Time Fractional Fokker-Planck Equation
This paper presents a new numerical method to solve time fractional Fokker-Planck equation. The space dimension is discretized to the Gauss-Lobatto points, then we apply pseudo-spectral successive integration matrix for this dimension. This approach shows that with less number of points, we can approximate the solution with more accuracy. The numerical results of the examples are displayed.
متن کاملThe Black-Scholes Equation
The most important application of the Itô calculus, derived from the Itô lemma, in financial mathematics is the pricing of options. The most famous result in this area is the Black-Scholes formulae for pricing European vanilla call and put options. As a consequence of the formulae, both in theoretical and practical applications, Robert Merton and Myron Scholes were awarded the Nobel Prize for E...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Acta Physica Polonica A
سال: 2017
ISSN: 0587-4246,1898-794X
DOI: 10.12693/aphyspola.132.1050