A universal difference method for time-space fractional Black-Scholes equation
DOI10.1186/s13662-016-0792-8zbMath1422.91778OpenAlexW2294758632WikidataQ59468085 ScholiaQ59468085MaRDI QIDQ1796725
Xue Zhang, Lifei Wu, Shu-Zhen Sun, Xiao-zhong Yang
Publication date: 17 October 2018
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-016-0792-8
stabilityconvergencenumerical experimentstime-space fractional Black-Scholes equationuniversal difference method
Numerical methods (including Monte Carlo methods) (91G60) Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Derivative securities (option pricing, hedging, etc.) (91G20)
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Cites Work
- A Jump-Diffusion Model for Option Pricing
- Mathematical models of financial derivatives
- Stock exchange fractional dynamics defined as fractional exponential growth driven by (usual) Gaussian white noise. Application to fractional Black-Scholes equations
- Derivation and solutions of some fractional Black-Scholes equations in coarse-grained space and time. Application to Merton's optimal portfolio
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
- Option pricing with transaction costs and a nonlinear Black-Scholes equation
- The accuracy and stability of an implicit solution method for the fractional diffusion equation
- Comparison of Black-Scholes formula with fractional Black-Scholes formula in the foreign exchange option market with changing volatility
- Solution of the fractional Black-Scholes option pricing model by finite difference method
- Almost sure and moment stability properties of fractional order Black-Scholes model
- Finite difference methods and a Fourier analysis for the fractional reaction-subdiffusion equation
- A second-order accurate numerical approximation for the fractional diffusion equation
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