LOCALIZED RADIAL BASIS FUNCTIONS FOR NO-ARBITRAGE PRICING OF OPTIONS UNDER STOCHASTIC ALPHA–BETA–RHO DYNAMICS
DOI10.1017/S1446181121000237zbMath1481.65159OpenAlexW4247465288MaRDI QIDQ5158754
No author found.
Publication date: 26 October 2021
Published in: The ANZIAM Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s1446181121000237
Numerical methods (including Monte Carlo methods) (91G60) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Derivative securities (option pricing, hedging, etc.) (91G20) PDEs with randomness, stochastic partial differential equations (35R60) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Numerical radial basis function approximation (65D12)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Pricing of Options and Corporate Liabilities
- Optimal variable shape parameter for multiquadric based RBF-FD method
- High-order compact finite difference scheme for option pricing in stochastic volatility models
- RBF-FD formulas and convergence properties
- A predictor-corrector scheme based on the ADI method for pricing american puts with stochastic volatility
- Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals
- Unconditional stability of second-order ADI schemes applied to multi-dimensional diffusion equations with mixed derivative terms
- Approximate arbitrage-free option pricing under the SABR model
- RBF-FD schemes for option valuation under models with price-dependent and stochastic volatility
- An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
- The sample solution approach for determination of the optimal shape parameter in the multiquadric function of the Kansa method
- Inverse multi-quadric RBF for computing the weights of FD method: application to American options
- High-order computational methods for option valuation under multifactor models
- On stability of numerical schemes via frozen coefficients and the magnetic induction equations
- High-order ADI scheme for option pricing in stochastic volatility models
- On choosing ``optimal shape parameters for RBF approximation
- A General Valuation Framework for SABR and Stochastic Local Volatility Models
- The survival probability of the SABR model: asymptotics and application
- PDE Methods for SABR
- The principle of not feeling the boundary for the SABR model
- Exact Simulation of the SABR Model
- ADI finite difference schemes for option pricing in the Heston model with correlation