Results 11 to 20 of about 17,205,246 (164)

Analytical solution of time-fractional N-dimensional Black-Scholes equation using LHPM [PDF]

open access: yesRatio Mathematica, 2023
A famous Black-Scholes differential equation is used for pricing options in financial world which represents financial derivatives more significantly. Option is one of the crucial financial derivatives. Sawangtong P., Trachoo K., Sawangtong W.
Sanjay Ghevariya, CHETANBHAI PATEL
doaj   +2 more sources

The Approximate Analytic Solution of the Time-Fractional Black-Scholes Equation with a European Option Based on the Katugampola Fractional Derivative

open access: yesMathematics, 2021
In the finance market, it is well known that the price change of the underlying fractal transmission system can be modeled with the Black-Scholes equation.
Sivaporn Ampun, Panumart Sawangtong
doaj   +2 more sources

Nonuniform Finite Difference Scheme for the Three-Dimensional Time-Fractional Black–Scholes Equation

open access: yesJournal of Function Spaces, 2021
In this study, we present an accurate and efficient nonuniform finite difference method for the three-dimensional (3D) time-fractional Black–Scholes (BS) equation.
Sangkwon Kim   +5 more
doaj   +2 more sources

A hybrid Chelyshkov wavelet-finite differences method for time-fractional black-Scholes equation [PDF]

open access: yesJournal of Mahani Mathematical Research
In this paper, a hybrid method for solving time-fractional Black-Scholes equation is introduced for option pricing. The presented method is based on time and space discretization.
Seyyed Amjad Samareh Hashemi   +2 more
doaj   +3 more sources

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   +2 more sources

Solution of the Fractional Black-Scholes Option Pricing Model by Finite Difference Method [PDF]

open access: yesAbstract and Applied Analysis, 2013
This work deals with the put option pricing problems based on the time-fractional Black-Scholes equation, where the fractional derivative is a so-called modified Riemann-Liouville fractional derivative.
Lina Song, Weiguo Wang
doaj   +2 more sources

A robust numerical solution to a time-fractional Black–Scholes equation

open access: yesAdvances in Difference Equations, 2021
Dividend paying European stock options are modeled using a time-fractional Black–Scholes (tfBS) partial differential equation (PDE). The underlying fractional stochastic dynamics explored in this work are appropriate for capturing market fluctuations in ...
S. M. Nuugulu, F. Gideon, K. C. Patidar
doaj   +2 more sources

A class of intrinsic parallel difference methods for time-space fractional Black–Scholes equation

open access: yesAdvances in Difference Equations, 2018
To quickly solve the fractional Black–Scholes (B–S) equation in the option pricing problems, in this paper, we construct pure alternative segment explicit–implicit (PASE-I) and pure alternative segment implicit–explicit (PASI-E) difference schemes for ...
Yue Li, Xiaozhong Yang, Shuzhen Sun
doaj   +2 more sources

The Numerical Solution of Fractional Black-Scholes-Schrodinger Equation Using the RBFs Method

open access: yesAdvances in Mathematical Physics, 2020
In this paper, radial basis functions (RBFs) method was used to solve a fractional Black-Scholes-Schrodinger equation in an option pricing of financial problems. The RBFs method is applied in discretizing a spatial derivative process.
Naravadee Nualsaard   +2 more
doaj   +2 more sources

Lie Symmetries and the Invariant Solutions of the Fractional Black–Scholes Equation under Time-Dependent Parameters

open access: yesFractal and Fractional
In this paper, we consider the time-fractional Black–Scholes model with deterministic, time-varying coefficients. These time parametric constituents produce a model with greater flexibility that may capture empirical results from financial markets and ...
Sameerah Jamal   +2 more
doaj   +2 more sources

Home - About - Disclaimer - Privacy