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Numerical Solutions for Fractional Black-Scholes Option Pricing Equation
2016In this article we have applied a numerical finite difference method to solve the Black-Scholes European and American option pricing both presented by fractional differential equations in time and asset.
Akrami, M.H., Erjaee, G.H.
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A note on the fractional Black-Scholes equation
2014Математическое моделирование и математическая ...
Kemzuraite, E., Miskinis, P.
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A wavelet collocation method for fractional Black–Scholes equations by subdiffusive model
Numerical Methods for Partial Differential EquationsAbstractIn this investigation, we propose a numerical method based on the fractional‐order generalized Taylor wavelets (FGTW) for option pricing and the fractional Black–Scholes equations. This model studies option pricing when the underlying asset has subdiffusive dynamics.
Davood Damircheli, Mohsen Razzaghi
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On the numerical solution of time fractional Black-Scholes equation
International Journal of Computer Mathematics, 2021Maryam Sarboland, Azim Aminataei
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International Journal of Mathematics in Operational Research, 2023
C. Vijayan, R. Manimaran, N. Racshitha
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C. Vijayan, R. Manimaran, N. Racshitha
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Stochastics and Stochastic Reports, 2004
We modify the Hu-Oksendal and Elliot-van der Hoek approach to arbitrage-free financial markets driven by a fractional Brownian motion that is defined on a white noise space. We deduce and solve a Black–Scholes fractional equation for constant volatility and outline the corresponding equation with stochastic volatility.
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We modify the Hu-Oksendal and Elliot-van der Hoek approach to arbitrage-free financial markets driven by a fractional Brownian motion that is defined on a white noise space. We deduce and solve a Black–Scholes fractional equation for constant volatility and outline the corresponding equation with stochastic volatility.
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Block-pulse operational matrix method for solving fractional Black-Scholes equation
Journal of Economic Studies, 2017Farshid Mehrdoust +1 more
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Fractional model and solution for the Black‐Scholes equation
Mathematical Methods in the Applied Sciences, 2018Jun-Sheng Duan
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