1.01: Introduction to Numerical Methods

yourquant_rick on Instagram: "Chapter 7 of Frequently Asked Questions in Quantitative Finance by Paul Wilmott shifts from theory to the gritty mechanics of actually using models: numerical methods. Wilmott explains that most of the equations in finance—stochastic differential equations, partial differential equations, complex option pricing formulas—can’t be solved neatly with pen and paper. That’s where numerical techniques come in. The chapter walks through the quant’s core toolbox: Monte Carl

yourquant_rick on Instagram: "In quantitative finance, choosing the right numerical method is often more important than the model itself. Rick explains to Morty that there are three main approaches: Monte Carlo simulation, finite difference methods, and numerical quadrature. Monte Carlo is best for high-dimensional problems and path-dependent contracts. It works by simulating thousands of possible market scenarios and then measuring expectations, risks, and payoffs. This is the method of choice