Results 41 to 50 of about 4,806 (143)
Nonlinear Engineering, 2016 In this paper, we present fractional differential transform method (FDTM) and modified fractional differential transform method (MFDTM) for the solution of time fractional Black-Scholes European option pricing equation.
Ravi Kanth A.S.V., Aruna K.
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Numerical Analysis of the Time Fractional Black-Scholes Equation [PDF]
, 2016 时间分数阶Black-Scholes方程在期权定价中有着日益广泛的应用。本文旨在研究该方程的数值解法，构造和分析了两个有效算法。第一个算法结合了时间方向的有限差分和空间方向的谱方法；第二个方法则基于时空Galerkin谱方法。通过引入恰当的Sobolev空间，我们构建了时空变分问题，证明了时空弱问题的适定性。在算法分析方面，我们首先给出两种方法的最优误差估计。然后讨论算法实现技巧，通过选取适当的基函数导出离散问题的线性系统。最后给出一些数值例子验证理论结果。The time fractional ...
刘瑞清
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The Futility of Utility: how market dynamics marginalize Adam Smith [PDF]
, 1999 Econometrics is based on the nonempiric notion of utility. Prices, dynamics, and market equilibria are supposed to be derived from utility. Utility is usually treated by economists as a price potential, other times utility rates are treated as ...
McCauley, Joseph L.
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The Numerical Solution of Fractional Black-Scholes-Schrodinger Equation Using the RBFs Method
Advances 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
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Fractal and Fractional, 2023 In this paper, we are interested in the effective numerical schemes of the time-fractional Black–Scholes equation. We convert the original equation into an equivalent integral-differential equation and then discretize the time-integral term in the ...
Jie Gu, Lijuan Nong, Qian Yi, An Chen
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Fractal and Fractional, 2023 In this work, we propose a fast scheme based on higher order discretizations on graded meshes for resolving the temporal-fractional partial differential equation (PDE), which benefits the memory feature of fractional calculus.
Rouhollah Ghabaei +3 more
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Robust option replication for a Black-Scholes model extended with nondeterministic trends [PDF]
, 2012 Statistical analysis on various stocks reveals long range dependence behavior of the stock prices that is not consistent with the classical Black and Scholes model.
Kloeden, Peter E. +1 more
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Inverse Multiquadric Function to Price Financial Options under the Fractional Black–Scholes Model
Fractal and Fractional, 2022 The inverse multiquadric radial basis function (RBF), which is one of the most important functions in the theory of RBFs, is employed on an adaptive mesh of points for pricing a fractional Black–Scholes partial differential equation (PDE) based on the ...
Yanlai Song, Stanford Shateyi
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Correction to Black-Scholes formula due to fractional stochastic volatility
, 2017 Empirical studies show that the volatility may exhibit correlations that decay as a fractional power of the time offset. The paper presents a rigorous analysis for the case when the stationary stochastic volatility model is constructed in terms of a ...
Garnier, Josselin, Solna, Knut
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Journal of Function Spaces, 2022 The Black-Scholes equation (BSe) is fascinating in the business world for predicting the performance of financial investment valuation systems. The Caputo fractional derivative (CFD) and Caputo-Fabrizio fractional derivative operators are used in this ...
Saima Rashid +3 more
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