Results 21 to 30 of about 402,189 (237)

An Analysis of the Fractional-Order Option Pricing Problem for Two Assets by the Generalized Laplace Variational Iteration Approach

Fractal and Fractional, 2022
An option is the right to buy or sell a good at a predetermined price in the future. For customers or financial companies, knowing an option’s pricing is crucial.
Sivaporn Ampun, Panumart Sawangtong, Wannika Sawangtong   +2 more
doaj   +1 more source

Application of the Generalized Laplace Homotopy Perturbation Method to the Time-Fractional Black–Scholes Equations Based on the Katugampola Fractional Derivative in Caputo Type

Computation, 2021
In the finance market, the Black–Scholes equation is used to model the price change of the underlying fractal transmission system. Moreover, the fractional differential equations recently are accepted by researchers that fractional differential equations
Sirunya Thanompolkrang, Wannika Sawangtong, Panumart Sawangtong   +2 more
doaj   +1 more source

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

Ratio 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   +1 more source

The modified homotopy perturbation method and its application to the dynamics of price evolution in Caputo-fractional order Black Scholes model

Beni-Suef University Journal of Basic and Applied Sciences, 2023
Background Following a financial loss in trades due to lack of risk management in previous models from market practitioners, Fisher Black and Myron Scholes visited the academic setting and were able to mathematically develop an option pricing equation ...
Adedapo Ismaila Alaje, Morufu Oyedunsi Olayiwola, Kamilu Adewale Adedokun, Joseph Adeleke Adedeji, Asimiyu Olamilekan Oladapo, Yunus Olanrewaju Akeem   +5 more
doaj   +1 more source

Forecasting the behaviour of fractional Black-Scholes option pricing equation by laplace perturbation iteration algorithm

Alexandria Engineering Journal, 2023
Financial derivatives plays a major role in all financial deals these days. Black–Scholes option pricing model gives a risk free analysis for investing in options. In the current work, a method called the Laplace Perturbation Iteration Algorithm is being
Fareeha Sami Khan, Mariam Sultana, Muhammad Khalid, Faheem Zaidi, Kamsing Nonlaopon   +4 more
doaj   +1 more source

Pricing formula for exchange option in fractional black-scholes model with jumps [PDF]

Journal of Hyperstructures, 2014
In this paper pricing formula for exchange option in a fractional Black-Scholes model with jumps is derived. We found out some errors in proof of pricing formula for European call option [7]. At first we revise these errors and then extend this result to
Kyong-Hui Kim, Myong-Guk Sin, Un-Hua Chong   +2 more
doaj   +1 more source

A meshless method for numerical solutions of linear and nonlinear time-fractional Black-Scholes models

AIMS Mathematics, 2023
The numerical solution of the time-fractional Black-Scholes model for European and American options is presented using a local meshless collocation approach based on hybrid Gaussian-cubic radial basis functions with polynomials is presented. The approach
H. Ahmad, Muuhammad Nawaz Khan, I. Ahmad, Mohamed Nazih Omri, M. Alotaibi   +4 more
semanticscholar   +1 more source

Analytical and Numerical Solution for the Time Fractional Black-Scholes Model Under Jump-Diffusion

Computational Economics, 2023
In this work, we study the numerical solution for time fractional Black-Scholes model under jump-diffusion involving a Caputo differential operator. For simplicity of the analysis, the model problem is converted into a time fractional partial integro ...
J. Mohapatra, S. Santra, H. Ramos
semanticscholar   +1 more source

Hedging in fractional Black-Scholes model with transaction costs [PDF]

, 2017
We consider conditional-mean hedging in a fractional Black-Scholes pricing model in the presence of proportional transaction costs. We develop an explicit formula for the conditional-mean hedging portfolio in terms of the recently discovered explicit ...
Shokrollahi, Foad, Sottinen, Tommi
core   +2 more sources

Arbitrage in the Hermite Binomial Market

Fractal and Fractional, 2022
Much attention has been paid to the arbitrage opportunities in the Black–Scholes model when it is driven by fractional Brownian motions. It is natural to ask whether there exists arbitrage or not when we focus on other fractional processes, such as the ...
Xuwen Cheng, Yiran Zheng, Xili Zhang
doaj   +1 more source