A 2nd-order ADI finite difference method for a 2D fractional Black–Scholes equation governing European two asset option pricing
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DOI: 10.1016/j.matcom.2019.10.016
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References listed on IDEAS
- Cartea, Álvaro & del-Castillo-Negrete, Diego, 2007.
"Fractional diffusion models of option prices in markets with jumps,"
Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(2), pages 749-763.
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- Chen, Wen & Wang, Song, 2017. "A power penalty method for a 2D fractional partial differential linear complementarity problem governing two-asset American option pricing," Applied Mathematics and Computation, Elsevier, vol. 305(C), pages 174-187.
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Cited by:
- Lyu, Jisang & Park, Eunchae & Kim, Sangkwon & Lee, Wonjin & Lee, Chaeyoung & Yoon, Sungha & Park, Jintae & Kim, Junseok, 2021. "Optimal non-uniform finite difference grids for the Black–Scholes equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 690-704.
- Chaeyoung Lee & Soobin Kwak & Youngjin Hwang & Junseok Kim, 2023. "Accurate and Efficient Finite Difference Method for the Black–Scholes Model with No Far-Field Boundary Conditions," Computational Economics, Springer;Society for Computational Economics, vol. 61(3), pages 1207-1224, March.
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Keywords
Two-dimensional spatial-fractional Black–Scholes equation; Alternating direction implicit method; Option pricing; Finite difference;All these keywords.
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