PRICING EUROPEAN TWO-ASSET OPTION USING THE SPECTRAL METHOD WITH SECOND-KIND CHEBYSHEV POLYNOMIALS
DOI10.1142/S0218348X22401661zbMath1498.91500OpenAlexW4226059467MaRDI QIDQ5101563
Xianhua Xu, Hossein Jafari, B. Farnam, Yones Esmaeelzade Aghdam, Mantepu Tshepo Masetshaba, Canan Ünlü
Publication date: 30 August 2022
Published in: Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218348x22401661
option pricingspectral methodChebyshev basistwo-dimensional spatial-fractional Black-Scholes equationtemporal-discretization
Numerical methods (including Monte Carlo methods) (91G60) Derivative securities (option pricing, hedging, etc.) (91G20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)
Cites Work
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- A penalty method for a fractional order parabolic variational inequality governing American put option valuation
- Option pricing with a direct adaptive sparse grid approach
- Improved radial basis function methods for multi-dimensional option pricing
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- A quasi-radial basis functions method for American options pricing.
- A power penalty method for a 2D fractional partial differential linear complementarity problem governing two-asset American option pricing
- Operator splitting methods for American option pricing.
- A 2nd-order ADI finite difference method for a 2D fractional Black-Scholes equation governing European two asset option pricing
- The impact of the Chebyshev collocation method on solutions of the time-fractional Black-Scholes
- Pricing European options with proportional transaction costs and stochastic volatility using a penalty approach and a finite volume scheme
- Space-time adaptive finite difference method for European multi-asset options
- A finite difference method for pricing European and American options under a geometric Lévy process
- Finite volume methods for the valuation of American options
- The Mathematics of Financial Derivatives
- COMPLEX FRACTIONAL-ORDER HIV DIFFUSION MODEL BASED ON AMPLITUDE EQUATIONS WITH TURING PATTERNS AND TURING INSTABILITY
- SOME FURTHER EXTENSIONS CONSIDERING DISCRETE PROPORTIONAL FRACTIONAL OPERATORS
- Numerical investigation of the time-fractional Black-Scholes equation with barrier choice of regulating European option
- A 2nd-Order FDM for a 2D Fractional Black-Scholes Equation
- Efficient Hierarchical Approximation of High‐Dimensional Option Pricing Problems
- A novel compact ADI scheme for the time-fractional subdiffusion equation in two space dimensions
- Approximate price of the option under discretization by applying quadratic interpolation and Legendre polynomials
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