Mathematical Modeling And Computation In Finance Pdf May 2026

Introduction

A practitioner might choose MCS for flexibility and FDM for speed when low dimensionality holds. The choice reflects a core theme of computational finance: no single method dominates all problems.

• Finite Difference Methods (FDM) for PDEs (e.g., pricing American options).
• Monte Carlo Simulation (including variance reduction, QMC).
• Fourier Transform methods (FFT, COS method – developed by the authors).