Finite Difference Methods in Financial Engineering: A Partial Differential Equation Approach (The Wiley Finance Series)
Duffy, Daniel J.
ISBN 10: 0470858826 ISBN 13: 9780470858820
Published by Wiley, 2006
Used
hardcover
From
YESIBOOKSTORE, MIAMI, FL, U.S.A.
Seller rating 4 out of 5 stars
AbeBooks Seller since 11 July 2025
This specific item is no longer available.
About this Item
Description:
This item is printed on demand. Seller Inventory # 0470858826-VB
Synopsis:
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.
About the Author:
Daniel Duffy is a numerical analyst who has been working in the IT business since 1979. He has been involved in the analysis, design and implementation of systems using object-oriented, component and (more recently) intelligent agent technologies to large industrial and financial applications. As early as 1993 he was involved in C++ projects for risk management and options applications with a large Dutch bank. His main interest is in finding robust and scalable numerical schemes that approximate the partial differential equations that model financial derivatives products. He has an M.Sc. in the Finite Element Method first-order hyperbolic systems and a Ph.D. in robust finite difference methods for convection-diffusion partial differential equations. Both degrees are from Trinity College, Dublin, Ireland.
Daniel Duffy is founder of Datasim Education and Datasim Component Technology, two companies involved in training, consultancy and software development.
"About this title" may belong to another edition of this title.
Bibliographic Details
Title: Finite Difference Methods in Financial ...
Publisher: Wiley
Publication Date: 2006
Binding: hardcover
Condition: As New
Top Search Results from the AbeBooks Marketplace
Seller Image
Finite Difference Methods in Financial Engineering: A Partial Differential Equation Approach
Seller: Scissortail, Oklahoma City, OK, U.S.A.
Seller rating 5 out of 5 stars
Condition: good. This is a pre-loved book that shows moderate signs of wear from previous reading. You may notice creases, edge wear, or a cracked spine, but it remains in solid, readable condition.Please note:-May include library or rental stickers, stamps, or markings.-Supplemental materials e.g., CDs, access codes, inserts are not guaranteed.-Box sets may not come with the original outer box. If it does, the box will not be in perfect condition. -Sourced from donation centers; authenticity not verified with publisher. Your satisfaction is our top priority! If you have any questions or concerns about your order, please don't hesitate to reach out. Thank you for shopping with us and supporting small businessâ"happy reading! Seller Inventory # STM.G6D
Seller Image
Finite Difference Methods in Financial Engineering: A Partial Differential Equation Approach
Seller: Scissortail, Oklahoma City, OK, U.S.A.
Seller rating 5 out of 5 stars
Condition: good. This is a pre-loved book that shows moderate signs of wear from previous reading. You may notice creases, edge wear, or a cracked spine, but it remains in solid, readable condition.Please note:-May include library or rental stickers, stamps, or markings.-Supplemental materials e.g., CDs, access codes, inserts are not guaranteed.-Box sets may not come with the original outer box. If it does, the box will not be in perfect condition. -Sourced from donation centers; authenticity not verified with publisher. Your satisfaction is our top priority! If you have any questions or concerns about your order, please don't hesitate to reach out. Thank you for shopping with us and supporting small businessâ"happy reading! Seller Inventory # STM.G67
Stock Image
Finite Difference Methods in Financial Engineering: A Partial Differential Equation Approach
Seller: WorldofBooks, Goring-By-Sea, WS, United Kingdom
Seller rating 5 out of 5 stars
Hardback. Condition: Fine. Seller Inventory # GOR008122278
Buy Used
£ 33.50
£ 5.60 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: 1 available
Stock Image
FINITE DIFFERENCE METHODS in FINANCIAL ENGINEERING: a PARTIAL DIFFERENTIAL EQUATION APPROACH, Including C/D and Dust Jacket. *
Published by
John Wiley & Sons, England * * * * *, 2006
ISBN 10: 0470858826
ISBN 13: 9780470858820
Used
Hardcover
First Edition
Seller: L. Michael, North Hollywood, CA, U.S.A.
Seller rating 4 out of 5 stars
Hardcover. Condition: Fine. Dust Jacket Condition: Fine. Book: Fine/+, 2006 (illustrator). 1st Edition. Book: Fine/+, $175.77 0470858826 FINITE DIFFERENCE METHODS in FINANCIAL ENGINEERING: a PARTIAL DIFFERENTIAL EQUATION APPROACH, Including C/D and Dust Jacket. * DUFFY, Daniel J. John Wiley & Sons England * * * * * 2006 1sT Edition, 1sT Printing H/c. Top Green And Bottom Black Pieces, Center Is Golden Colored Spine With Title In 0ff~White Black And Grey Letters, Dust Jacket: Fine/As New/, Slightest Shelf, Edge And Corner Wear. Hard Book: Fine/+, 423 Numbered Pages, Printed On 0ff~White Paper, That Appear To Be Lightly Viewed And Are Clean And Tight To The Spine, In Fine/As New/ Condition. C/D UnOpened In Publisher`s Original Packet Inside Rear Cover. Dust Jacket: None. = No Odors, No Writing, No Names, No Rippling, Not Stuck Together, No Book Plate, Not X~Library, No Remainder Or Other Marks. This Item Will Be Sent In A = Mailing B0X = To Prevent Shipping Damage So That It Will Arrive In The Description Described. Description Applies To This B00K, Only. = This B00K Is Hard To Find, Will Be Packaged And Shipped Carefully, = To Avoid Shipping Damage And Will Make It, An Excellent Addition To Your Own Personal Library Collection, Or As A Gift, For The Discriminating Reader / Collector. = WORLD WIDE SHIPPING, AVAILABLE *. Seller Inventory # 016394
Stock Image
Finite Difference Methods in Financial Engineering: A Partial Differential Equation Approach Wiley Finance (Gebundene Ausgabe) first-order hyperbolic equations CONTINUOUS THEORY OF PARTIAL DIFFERENTIAL EQUATIONS Wirtschaft Betriebswirtschaft Management
Published by
Wiley& Sons Auflage: Har/Cdr (23. Mai 2006), 2006
ISBN 10: 0470858826
ISBN 13: 9780470858820
Used
Hardcover
Seller: BUCHSERVICE / ANTIQUARIAT Lars Lutzer, Wahlstedt, Germany
Seller rating 5 out of 5 stars
Hardcover. Condition: gut. Auflage: Har/Cdr (23. Mai 2006). 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. Finite Difference Methods in Financial EngineeringA Partial Differential Equation Approach (Wiley Finance) Daniel J. Duffy quantitative finance research derivatives pricing Black-Scholes equation exotic options interest rate partial differential equatio This book proved to be a useful reference for practical implementation of finite-difference methods for PDEs: several one- and multi-factor financial derivatives pricing models, including local volatility models and models with stochastic volatilities. The methods described in the text are stable, accurate and reasonably efficient. Stability of FD methods is obviously of top concern to the author (as it should be to readers as well), and he goes into extensive detail evaluating the stability of various techniques. The writing is clear and consistent, though a "notational" index or glossary would have been helpful, particularly in the early going. The author provides several practical examples, which lends a refreshing degree of concreteness to the book. Author: Daniel Duffy is a numerical analyst who has been working in the IT business since 1979. He has been involved in the analysis, design and implementation of systems using object-oriented, component and (more recently) intelligent agent technologies to large industrial and financial applications. As early as 1993 he was involved in C++ projects for risk management and options applications with a large Dutch bank. His main interest is in finding robust and scalable numerical schemes that approximate the partial differential equations that model financial derivatives products. He has an M.Sc. in the Finite Element Method first-order hyperbolic systems and a Ph.D. in robust finite difference methods for convection-diffusion partial differential equations. Both degrees are from Trinity College, Dublin, Ireland. Daniel Duffy is founder of Datasim Education and Datasim Component Technology, two companies involved in training, consultancy and software development. ISBN 978-0470858820 ISBN 0470858826 Reihe/Serie The Wiley Finance Series Verlagsort Chichester Sprache englisch Maße 178 x 252 mmWirtschaft Betriebswirtschaft Management ISBN-10 0-470-85882-6 / 0470858826 ISBN-13 978-0-470-85882-0 / 9780470858820 Content: 0 Goals of this Book and Global Overview 1 0.1 What is this book? 1 0.2 Why has this book been written? 2 0.3 For whom is this book intended? 2 0.4 Why should I read this book? 2 0.5 The structure of this book 3 0.6 What this book does not cover 4 0.7 Contact, feedback and more information 4 PART I THE CONTINUOUS THEORY OF PARTIAL DIFFERENTIAL EQUATIONS 5 1 An Introduction to Ordinary Differential Equations 7 1.1 Introduction and objectives 7 1.2 Two-point boundary value problem 8 1.3 Linear boundary value problems 9 1.4 Initial value problems 10 1.5 Some special cases 10 1.6 Summary and conclusions 11 2 An Introduction to Partial Differential Equations 13 2.1 Introduction and objectives 13 2.2 Partial differential equations 13 2.3 Specialisations 15 2.4 Parabolic partial differential equations 18 2.5 Hyperbolic equations 20 2.6 Systems of equations 22 2.7 Equations containing integrals 23 2.8 Summary and conclusions 24 3 Second-Order Parabolic Differential Equations 25 3.1 Introduction and objectives 25 3.2 Linear parabolic equations 25 3.3 The continuous problem 26 3.4 The maximum principle for parabolic equations 28 3.5 A special case: one-factor generalised Black Scholes models 29 3.6 Fundamental solution and the Green s function 30 3.7 Integral representation of the solution of parabolic PDEs 31 3.8 Parabolic equations in one space dimension 33 3.9 Summary and conclusions 35 4 An Introduction to the Heat Equation in One Dimension 37 4.1 Introduction and objectives 37 4.2 Motivation and background 38 4.3 The heat equation and financial engineering 39 4.4 The separation of variables technique. Seller Inventory # BN1748
Stock Image
Finite Difference Methods in Financial Engineering: A Partial Differential Equation Approach (The Wiley Finance Series)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9780470858820_new
Buy New
£ 68.51
£ 11.98 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available
Seller Image
Finite Difference Methods In Financial Engineering : A Partial Differential Equation Approach
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 1523789-n
Buy New
£ 69.49
£ 15 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available
Stock Image
Finite Difference Methods in Financial Engineering (Hardcover)
Published by
John Wiley & Sons Inc, New York, 2006
ISBN 10: 0470858826
ISBN 13: 9780470858820
New
Hardcover
First Edition
Seller: CitiRetail, Stevenage, United Kingdom
Seller rating 5 out of 5 stars
Hardcover. Condition: new. Hardcover. 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 optionsEarly exercise features and approximation using front-fixing, penalty and variational methodsModelling stochastic volatility models using Splitting methodsCritique of ADI and Crank-Nicolson schemes; when they work and when they don't workModelling 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. This is today's most complete and practical guide to finite difference methods and its applications to derivatives. The application of finite difference methods (FDM), long popular in areas such as fluid mechanics and heat transfer, has become increasingly vital for pricing derivative products in today's global markets. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780470858820
Buy New
£ 75.99
£ 37 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: 1 available
Seller Image
Finite Difference Methods In Financial Engineering : A Partial Differential Equation Approach
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 1523789
Stock Image
Finite Difference Methods in Financial Engineering: A Partial Differential Equation Approach
Print on DemandSeller: THE SAINT BOOKSTORE, Southport, United Kingdom
Seller rating 5 out of 5 stars
Hardback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 1049. Seller Inventory # C9780470858820
Buy New
£ 81.23
£ 21.24 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available