Results 21 to 30 of about 4,903 (187)
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 +5 more
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Lie symmetry analysis of a fractional Black-Scholes equation [PDF]
AIP Conference Proceedings, 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]. In this paper, Lie symmetry analysis of a time fractional Black-Scholes equation with Riemann-Liouville derivative is performed.
Kam Yoon Chong, John G. O’Hara
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Nonuniform Finite Difference Scheme for the Three-Dimensional Time-Fractional Black–Scholes Equation
Journal 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
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Fractal and Fractional, 2023 In this paper, we consider an approximation of the Caputo fractional derivative and its asymptotic expansion formula, whose generating function is the polylogarithm function.
Yuri Dimitrov +2 more
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Solving Black–Scholes equations using fractional generalized homotopy analysis method [PDF]
Comput Appl Math, 2020 This paper aims to solve the Black–Scholes (B–S) model for the European options pricing problem using a hybrid method called fractional generalized homotopy analysis method (FGHAM). The convergence region of the B–S model solutions are clearly identified using h-curve and the closed form series solutions are produced using FGHAM.
Saratha S +3 more
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Homotopy perturbation method for fractional black-scholes european option pricing equations using Sumudu transform [PDF]
, 2013 The homotopy perturbation method, Sumudu transform, and He’s polynomials are combined to obtain the solution of fractional Black-Scholes equation. The fractional derivative is considered in Caputo sense.
Elbeleze, Asma Ali +2 more
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On a Multigrid Method for Tempered Fractional Diffusion Equations
Fractal and Fractional, 2021 In this paper, we develop a suitable multigrid iterative solution method for the numerical solution of second- and third-order discrete schemes for the tempered fractional diffusion equation.
Linlin Bu, Cornelis W. Oosterlee
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Fractional variational iteration method and its application to fractional partial differential equation [PDF]
, 2013 We use the fractional variational iteration method (FVIM) with modified Riemann-Liouville derivative to solve some equations in fluid mechanics and in financial models. The fractional derivatives are described in Riemann-Liouville sense.
Elbeleze, Asma Ali +2 more
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Discrete Dynamics in Nature and Society, 2020 The value of an option plays an important role in finance. In this paper, we use the Black–Scholes equation, which is described by the nonsingular fractional-order derivative, to determine the value of an option. We propose both a numerical scheme and an
Ndolane Sene +3 more
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A posteriori grid method for a time-fractional Black-Scholes equation
AIMS Mathematics, 2022 <abstract><p>In this paper, a posteriori grid method for solving a time-fractional Black-Scholes equation governing European options is studied. The possible singularity of the exact solution complicates the construction of the discretization scheme for the time-fractional Black-Scholes equation.
Zhongdi Cen, Jian Huang, Aimin Xu
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