Daniel Duffy – Finite Difference Methods in Financial Engineering

Daniel Duffy – Finite Difference Methods in Financial EngineeringTo describe a wide range of one, we use partial differential equations.-Multiply factor-Factor derivatives products, such as American and European options, multi-There are many options available, including Asian options, real options, interest rates options, asset options, and Asian options. PDE techniques can be used to build a framework that allows us to model complex, interesting derivatives products. Once we have defined the PDE problem, we can then approximate it by using the Finite Difference Method (FDM). This method is used in many applications, such as fluid dynamics and heat transfer. This book explains how to price real.-life derivative products. Both traditional (or well) products are used.-The QF literature is incorporating both well-known (and less advanced) methods.Crank-Nicolson is exponentially fitter and more-One-stop ordering-Multi and factor-Factor optionsFrontal approximation and Early Exercise Features-Variational, penalty, and fixing methodsSplitting method for modeling stochastic volatility modelsCritique of ADI, Crank-Nicolson schemes: When they work and when it doesn’tPartial Integro Differential Equations are used to model jumpsBoundary value problems – Free and mobile in QF