Results 21 to 30 of about 2,314 (173)

Integration of Fractional Order Black-Scholes Merton with Neural Network [PDF]

open access: yes, 2023
This study enhances option pricing by presenting unique pricing model fractional order Black-Scholes-Merton (FOBSM) which is based on the Black-Scholes-Merton (BSM) model.
Kundu, Goutam Kr.   +3 more
core   +2 more sources

Numerical solution of the time fractional Black–Scholes model governing European options [PDF]

open access: yes, 2016
When considering the price change of the underlying fractal transmission system, a fractional Black–Scholes(B-S) model with an αα-order time fractional derivative is derived.
Turner, I., Yang, Q., Zhang, H., Liu, F.
core   +1 more source

Fractional Black–Scholes equation [PDF]

open access: yes, 2017
In this paper, it has been shown that the combined use of exponential operators and special functions provides a powerful tool to solve certain class of generalized space fractional Laguerre heat equation.
A. Aghili
core   +1 more source

Lie symmetry analysis of a fractional Black-Scholes equation [PDF]

open access: yes, 2019
In 2000, Walter Wyss looked into the fractional version of the Black-Scholes equation for the first time. He gave a solution of the fractional Black-Scholes equation by using the Greens function [14].
O'Hara, John G   +3 more
core   +1 more source

Solution of Black-Scholes Fractional Partial Differential Equation with two Assets by Aboodh Decomposition Method. [PDF]

open access: yes, 2019
In this paper, we present the solution of Black-Scholes fractional partial differential equation with two assets in the Caputo fractional derivative sense by the Aboodh decomposition method.
Alfaqeih, S.   +3 more
core   +1 more source

Fractional Black-Scholes model with regularized Prabhakar derivative [PDF]

open access: yes, 2017
We introduce a fractional type Black-Scholes model in European options including the regularized Prabhakar derivative. We apply the reconstruction of variational iteration method to get the approximate analytical solutions for some models of ...
Alireza Ansari   +3 more
core   +1 more source

Numerical solution of ψ-Hilfer fractional Black–Scholes equations via space–time spectral collocation method

open access: yesAlexandria Engineering Journal, 2023
Trivially, the time-fractional Black–Scholes (FBS) equation is utilized to describe the behavior of the option pricing in financial markets. This work is intended as an attempt to introduce the ψ-Hilfer fractional Black–Scholes (ψ-HFBS) equation.
F. Mohammadizadeh   +4 more
doaj   +1 more source

An Efficient Numerical Method for Pricing Double-Barrier Options on an Underlying Stock Governed by a Fractal Stochastic Process

open access: yesFractal and Fractional, 2023
After the discovery of the fractal structures of financial markets, enormous effort has been dedicated to finding accurate and stable numerical schemes to solve fractional Black-Scholes partial differential equations.
Samuel Megameno Nuugulu   +2 more
doaj   +1 more source

On the solution of two-dimensional fractional Black–Scholes equation for European put option

open access: yesAdvances in Difference Equations, 2020
The purpose of this paper was to investigate the dynamics of the option pricing in the market through the two-dimensional time fractional-order Black–Scholes equation for a European put option.
Din Prathumwan, Kamonchat Trachoo
doaj   +1 more source

Numerical Solution of Fractional Black-Scholes Equation by Using the Multivariate Padé Approximation [PDF]

open access: yes, 2017
In this study, a new application of multivariate Padé approximation method has been used for solving European vanilla call option pricing problem. Padé polynomials have occurred for the fractional Black-Scholes equation, according to the relations of ...
N. Özdemir   +3 more
core   +1 more source

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