This project revisits the Black–Scholes equation and explores its numerical resolution using finite-difference schemes. We implement and compare explicit and implicit methods, assess their accuracy ...
Abstract: In this article, we present a novel method to extend the Finite-Element-Analysis concept of Matlab's Partial-Differential-Equation (PDE) Toolbox to perform the stress calculation for any ...
Abstract: A method for trimming surfaces generated as solutions to partial differential equations (PDE) is presented. First we can use the finite difference method to calculate the PDE surface mesh ...
A partial differential equation (PDE) is a mathematical equation that involves multiple independent variables, an unknown function that is dependent on those variables, and partial derivatives of the ...
Production-style Python repository for pricing vanilla European and American options via finite-difference PDEs with adaptive spatial refinement, plus a data/ML evaluation layer for surrogate pricing ...
We develop here a finite-difference approach for valuing a discretely sampled variance swap within an extended Black–Scholes framework. This approach incorporates the observed volatility skew and is ...