A computational scheme for uncertain volatility model in option pricing
From MaRDI portal
Publication:1030664
DOI10.1016/j.apnum.2009.01.004zbMath1400.91624OpenAlexW2075557034WikidataQ59416187 ScholiaQ59416187MaRDI QIDQ1030664
Publication date: 2 July 2009
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2009.01.004
finite volume methodviscosity solutionoption pricingnonlinear partial differential equationuncertain volatility model
Stochastic models in economics (91B70) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Derivative securities (option pricing, hedging, etc.) (91G20)
Related Items
Regularization for the inverse problem of finding the purely time-dependent volatility, The COS Method for Pricing Options Under Uncertain Volatility, On the Fourier cosine series expansion method for stochastic control problems, Recent Advances in Numerical Solution of HJB Equations Arising in Option Pricing, Pricing American bond options using a penalty method, Fitted Finite Volume Method for Pricing American Options under Regime-Switching Jump-Diffusion Models Based on Penalty Method, A finite difference scheme for variational inequalities arising in stochastic control problems with several singular control variables, Calibration of the purely T-dependent Black–Scholes implied volatility, Power penalty method for solving HJB equations arising from finance, A penalty-based method from reconstructing smooth local volatility surface from American options, Pricing of American carbon emission derivatives and numerical method under the mixed fractional Brownian motion, Fitted strong stability-preserving schemes for the Black-Scholes-Barenblatt equation, A positive flux limited difference scheme for the uncertain correlation 2D Black-Scholes problem, An efficient Monte Carlo simulation for new uncertain Heston-CIR hybrid model, COORDINATION MECHANISM COMBINING SUPPLY CHAIN OPTIMIZATION AND RULE IN EXCHANGE
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Pricing of Options and Corporate Liabilities
- Jump-diffusion processes: volatility smile fitting and numerical methods for option pricing
- Convergence of a fitted finite volume method for the penalized Black-Scholes equation governing European and American option pricing
- Pricing options under jump diffusion processes with fitted finite volume method
- An exponentially fitted finite volume method for the numerical solution of 2D unsteady incompressible flow problems
- Power penalty method for a linear complementarity problem arising from American option valuation
- A fitted finite volume method for the valuation of options on assets with stochastic volatilities
- User’s guide to viscosity solutions of second order partial differential equations
- A new non-conforming Petrov-Galerkin finite-element method with triangular elements for a singularly perturbed advection-diffusion problem
- A novel fitted finite volume method for the Black-Scholes equation governing option pricing
- Pricing and hedging derivative securities in markets with uncertain volatilities
- Uncertain volatility and the risk-free synthesis of derivatives
- A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options
- Option pricing when underlying stock returns are discontinuous