Results 1 to 10 of about 3,126,770 (217)
Controllabilty and stability analysis on a group associated with Black-Scholes equation [PDF]
Archives of Control Sciences, 2020 In this paper we have studied the driftless control system on a Lie group which arises due to the invariance of Black-Scholes equation by conformal transformations.
Archana, Tiwari +2 more
doaj +1 more source
Lattice Boltzmann Method for the Generalized Black-Scholes Equation
Advances in Mathematical Physics, 2023 In this paper, an efficient lattice Boltzmann model for the generalized Black-Scholes equation governing option pricing is proposed. The Black-Scholes equation is firstly equivalently transformed into an initial value problem for a partial differential ...
Fangfang Wu +3 more
doaj +1 more source
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 +2 more
doaj +1 more source
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 +4 more
doaj +1 more source
PENENTUAN HARGA OPSI DAN NILAI HEDGE MENGGUNAKAN PERSAMAAN NON-LINEAR BLACK-SCHOLES
E-Jurnal Matematika, 2016 Option are contracts that give the right to sell and buy the asset at a price and a certain period of time. In addition investors use option as a means of hedge against asset owned.
PUTU AYU DENI +2 more
doaj +1 more source
On the Generation of Infinitely Many Conservation Laws of the Black-Scholes Equation
Computation, 2020 Construction of conservation laws of differential equations is an essential part of the mathematical study of differential equations. In this paper we derive, using two approaches, general formulas for finding conservation laws of the Black-Scholes ...
Winter Sinkala
doaj +1 more source
On a Free Boundary Problem for American Options Under the Generalized Black–Scholes Model
Mathematics, 2020 We consider the problem of pricing American options using the generalized Black–Scholes model. The generalized Black–Scholes model is a modified form of the standard Black–Scholes model with the effect of interest and consumption rates.
Jung-Kyung Lee
doaj +1 more source
Lie Symmetry Analysis of a First-Order Feedback Model of Option Pricing
Advances in Mathematical Physics, 2015 A first-order feedback model of option pricing consisting of a coupled system of two PDEs, a nonliner generalised Black-Scholes equation and the classical Black-Scholes equation, is studied using Lie symmetry analysis.
Winter Sinkala, Tembinkosi F. Nkalashe
doaj +1 more source
Alexandria 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
On the solution of two-dimensional fractional Black–Scholes equation for European put option
Advances 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