Finite Difference Methods in Financial Engineering

A Partial Differential Equation Approach

Finite Difference Methods in Financial Engine ...
Daniel J. Duffy, Daniel J. Duf ...
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Last edited by ImportBot
August 20, 2020 | History

Finite Difference Methods in Financial Engineering

A Partial Differential Equation Approach

The world of quantitative finance (QF) is one of the fastest growing areas of research and its practical applications to derivatives pricing problem. Since the discovery of the famous Black-Scholes equation in the 1970's we have seen a surge in the number of models for a wide range of products such as plain and exotic options, interest rate derivatives, real options and many others. Gone are the days when it was possible to price these derivatives analytically. For most problems we must resort to some kind of approximate method. In this book we employ partial differential equations (PDE) to describe a range of one-factor and multi-factor derivatives products such as plain European and American options, multi-asset options, Asian options, interest rate options and real options. PDE techniques allow us to create a framework for modeling complex and interesting derivatives products. Having defined the PDE problem we then approximate it using the Finite Difference Method (FDM). This method has been used for many application areas such as fluid dynamics, heat transfer, semiconductor simulation and astrophysics, to name just a few. In this book we apply the same techniques to pricing real-life derivative products. We use both traditional (or well-known) methods as well as a number of advanced schemes that are making their way into the QF literature: Crank-Nicolson, exponentially fitted and higher-order schemes for one-factor and multi-factor options Early exercise features and approximation using front-fixing, penalty and variational methods Modelling stochastic volatility models using Splitting methods Critique of ADI and Crank-Nicolson schemes; when they work and when they don't work Modelling jumps using Partial Integro Differential Equations (PIDE) Free and moving boundary value problems in QF Included with the book is a CD containing information on how to set up FDM algorithms, how to map these algorithms to C++ as well as several working programs for one-factor and two-factor models. We also provide source code so that you can customize the applications to suit your own needs.

Publish Date
Language
English
Pages
440

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Previews available in: English

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Cover of: Finite Difference Methods in Financial Engineering
Finite Difference Methods in Financial Engineering: A Partial Differential Equation Approach
2013, Wiley & Sons, Limited, John
in English
Cover of: Finite Difference Methods in Financial Engineering
Finite Difference Methods in Financial Engineering: A Partial Differential Equation Approach
2013, Wiley & Sons, Incorporated, John
in English
Cover of: Finite difference methods in financial engineering
Cover of: Finite Difference Methods in Financial Engineering
Finite Difference Methods in Financial Engineering: A Partial Differential Equation Approach
2007, Wiley & Sons, Incorporated, John
in English
Cover of: Finite Difference Methods in Financial Engineering
Finite Difference Methods in Financial Engineering
2006, Wiley & Sons, Incorporated, John
in English
Cover of: Finite Difference Methods in Financial Engineering
Cover of: Finite Difference Methods in Financial Engineering
Finite Difference Methods in Financial Engineering
2006, John Wiley & Sons, Ltd.
Electronic resource in English

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Library of Congress

ID Numbers

Open Library
OL29015406M
ISBN 13
9780470300169

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Better World Books record

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August 20, 2020 Created by ImportBot Imported from Better World Books record