Modeling Derivatives Applications in Matlab, C++ and Excel

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Overview

Prebuilt Code for Modeling and Pricing Today’s Complex Derivatives

 

Justin London shows how to implement pricing algorithms for a wide variety of complex derivatives, including rapidly emerging instruments covered in no other book. Utilizing actual Bloomberg data, London covers credit derivatives, CDOs, mortgage-backed securities, asset-backed securities, fixed-income securities, and today’s increasingly important weather, power, and energy derivatives. His robust models are designed for both ease of use and ease of adaptation, and may be downloaded by the book’s purchasers from a secured Web site.

 

Modeling Derivatives Applications in Matlab, C++, and Excel will be indispensable to sell-side professionals who model derivatives; buy-side professionals who must understand the derivatives offered to them; experienced quants; developers at Wall Street firms; and any financial engineering practitioner or student entering the derivatives field for the first time.

  • Presents broader coverage and more models than any competitive book Covers everything from swaps to interest rate models, mortgage- and asset-backed securities to the HJM model
  • Includes code for all three leading derivatives development platforms The only book to present models for Matlab, C++, and Excel
  • Addresses the fastest-growing areas of derivatives development Includes models for weather, power, and energy derivatives, CDOs, and more
  • Contains extensive real-world examples.

The entire book utilizes Matlab, C++, and Excel.  Users need Matlab installed, Visual C++, and Excel.  Inaddition, some examples using Matlab toolkits are used: Chapter 1 makes use of the Fixed-Income Toolkit.  Appendix A makes use of the Financial Derivatives Toolkit and Matlab Excel Link.  These toolkits do not come with the book, but can be obtained from Mathworks.

 

Downloadable models available ONLY to purchasers of this book.

Purchasers receive a unique access code enabling secure access to downloadable, prebuilt code and templates for Matlab, C++, and Excel.

 

                       Preface  xv

                        Acknowledgments  xix

                        About the Author  xxi

Chapter 1       Swaps and Fixed Income Instruments  1 

Chapter 2       Copula Functions  67 

Chapter 3       Mortgage-Backed Securities  91 

Chapter 4       Collateralized Debt Obligations  163

Chapter 5       Credit Derivatives  223

Chapter 6       Weather Derivatives  299

Chapter 7       Energy and Power Derivatives  333

Chapter 8       Pricing Power Derivatives: Theory and Matlab Implementation  407 

Chapter 9       Commercial Real Estate Asset-Backed Securities  447

Appendix A     Interest Rate Tree Modeling in Matlab  473

Appendix B     Chapter 7 Code  503

                        References  543 

                        Index   555 

 

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Product Details

  • ISBN-13: 9780131962590
  • Publisher: FT Press
  • Publication date: 1/1/2007
  • Edition description: New Edition
  • Pages: 600
  • Product dimensions: 7.44 (w) x 9.55 (h) x 1.03 (d)

Meet the Author

Justin London has developed fixed-income and equity models for trading companies and his own quantitative consulting firm. He has analyzed and managed bank corporate loan portfolios using credit derivatives in the Asset Portfolio Group of a large bank in Chicago, Illinois, as well as advised several banks in their implementation of derivative trading systems. London is the founder of a global online trading and financial technology company. A graduate of the University of Michigan, London holds a B.A. in economics and mathematics, an M.A. in applied economics, and an M.S. in financial engineering, computer science, and mathematics, respectively.

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Read an Excerpt

PrefacePREFACE

Given the explosive growth in new financial derivatives such as credit derivatives, hundreds of financial institutions now market these complex instruments and employ thousands of financial and technical professionals needed to model them accurately and effectively. Moreover, the implementation of these models in C++ and Matlab (two widely used languages for implementing and building derivatives models) has made programming skills in these languages important for practitioners to have. In addition, the use of Excel is also important as many trading desks use Excel as a front-end trading application.

Modeling Derivatives Applications in Matlab, C++, and Excel is the first book to cover in detail important derivatives pricing models for credit derivatives (for example, credit default swaps and credit-linked notes), collateralized-debt obligations (CDOs), mortgage-backed securities (MBSs), asset-backed securities (ABSs), swaps, fixed-income securities, and increasingly important weather, power, and energy derivatives using Matlab, C++, and Excel. Readers will benefit from both the mathematical derivations of the models, the theory underlying the models, as well as the code implementations.

Throughout this book, numerous examples are given using Matlab, C++, and Excel. Examples using actual real-time Bloomberg data show how these models work in practice. The purpose of the book is to teach readers how to properly develop and implement derivatives applications so that they can adapt the code for their own use as they develop their own applications. The best way to learn is to follow the examples and run the code. The chapters cover the followingtopics:

  • Chapter 1: Swaps and fixed income securities
  • Chapter 2: Copulas and copula methodologies
  • Chapter 3: Mortgage-backed securities
  • Chapter 4: Collateralized-debt obligations
  • Chapter 5: Credit derivatives
  • Chapter 6: Weather derivatives
  • Chapter 7: Energy and power derivatives
  • Chapter 8: Also covers model implementations for energy derivatives using Matlab, but is written and based on the proprietary work of its author, Craig Pirrong, professor of finance and director of the Global Energy Management Institute at the University of Houston.
  • Chapter 9: Commercial real-estate backed securities (a type of asset-backed security), which is written and is based on the proprietary work of its author, Tien-Foo Sing, professor in the Department of Real Estate Finance at the National University of Singapore.

In order to provide different perspectives to readers and provide as much useful information as possible, the work and models developed and written by various leading practitioners and experts for certain topics are provided and incorporated throughout the book. Thus, not only does this book cover complex derivatives models and provide all of the code (which can be downloaded using a secure ID code from the companion Web site at http://www.ftpress.com/title/0131962590), but it also incorporates important work contributions from leading practitioners in the industry. For instance, the work of Galiani (2003) is discussed in the chapter on copulas and credit derivatives. The work of Picone (2004) is discussed in the chapter on collateralized-debt obligations. The work of Johnson (2004) is discussed in the chapters on fixed-income instruments and mortgage-backed securities. The valuable work for energy derivatives of Doerr (2002), Xiang (2004), and Xu (2004) is given. In Chapter 8, Craig Pirrong discusses the Pirrong-Jermayakan model, a two-dimensional alternating implicit difference (ADI) finite difference scheme for pricing energy derivatives. In Chapter 9, Tien-Foo Sing discusses using Monte Carlo to price asset-based securities. Moreover, numerous individuals named in the acknowledgments contributed useful code throughout the book.

The book emphasizes how to implement and code complex models for pricing, trading, and hedging using C++, Matlab, and Excel. The book does not focus on design patterns or best coding practices (these issues may be discussed in subsequent editions of the book.) Efficiency and modularity are important design goals in building robust object-oriented code. In some cases in this book, the C++ code provided could perhaps be more modular as with some of the routines in building interest rate trees. The emphasis throughout the book has been to provide working implementations for the reader to adapt. However, the book does provide some discussions and helpful tips for building efficient models. For instance, memory allocation for data structures is always an issue when developing a model that requires use and storage of multi-dimensional data. Use of a predefined two-dimensional array, for instance, is not the most efficient way to allocate memory since it is fixed in size. A lot of memory may be unutilized and wasted if you do not know how large the structure needs to be to store the actual data. On the other hand, the predefined array sizes may turn out not to be large enough.

Although two-dimensional arrays are easy to define, use of array template classes (that can handle multiple dimensions) and vectors (of vectors) in the Standard Template Library in C++ are more efficient because they are dynamic and only use as much memory as is needed. Such structures are used in the book, although some two-dimensional arrays are used as well. Matlab, a matrix manipulation language, provides automatic memory allocation of memory as data is used if no array sizes are predefined. All data in Matlab are treated as matrix objects; e.g., a single number is treated as a 1 x 1 array. Data can be added or removed from an object and the object will dynamically expand or reduce the amount of memory space as needed.

While every effort has been made to catch all typos and errors in the book, inevitably in a book of this length and complexity, there may still be a few. Any corrections will be posted on the Web site.

Hopefully, this book will give you the foundation to develop, build, and test your own models while saving you a great deal of development time through use of pre-tested robust code.Supplemental Files on the Web Site

To download the code in this book, you must first register online. You will need a valid email address and the access code that is printed inside the envelope located at the back of the book.

To register online, go to http://www.ftpress.com/title/0131962590 and follow the on-screen instructions.

If you have any questions about online registration or downloading the code, please send us an inquiry via the Contact Us page at http://www.ftpress.com/about/contact us/.

NOTE: The code files are Copyrighted © 2006 by Justin London and the contributors thereof. Unauthorized reproduction or distribution is prohibited. All rights reserved.

© Copyright Pearson Education. All rights reserved.

Read More Show Less

Table of Contents

   Preface  xv

   Acknowledgments  xix

   About the Author  xxi

Chapter 1  Swaps and Fixed Income Instruments  1 

Chapter 2 Copula Functions  67 

Chapter 3 Mortgage-Backed Securities  91 

Chapter 4 Collateralized Debt Obligations  163

Chapter 5 Credit Derivatives  223

Chapter 6  Weather Derivatives  299

Chapter 7 Energy and Power Derivatives  333

Chapter 8 Pricing Power Derivatives: Theory and Matlab Implementation  407 

Chapter 9 Commercial Real Estate Asset-Backed Securities  447

Appendix A   Interest Rate Tree Modeling in Matlab  473

Appendix B    Code  503

   References  543 

   Index   555 

Read More Show Less

Preface

PrefacePREFACE

Given the explosive growth in new financial derivatives such as credit derivatives, hundreds of financial institutions now market these complex instruments and employ thousands of financial and technical professionals needed to model them accurately and effectively. Moreover, the implementation of these models in C++ and Matlab (two widely used languages for implementing and building derivatives models) has made programming skills in these languages important for practitioners to have. In addition, the use of Excel is also important as many trading desks use Excel as a front-end trading application.

Modeling Derivatives Applications in Matlab, C++, and Excel is the first book to cover in detail important derivatives pricing models for credit derivatives (for example, credit default swaps and credit-linked notes), collateralized-debt obligations (CDOs), mortgage-backed securities (MBSs), asset-backed securities (ABSs), swaps, fixed-income securities, and increasingly important weather, power, and energy derivatives using Matlab, C++, and Excel. Readers will benefit from both the mathematical derivations of the models, the theory underlying the models, as well as the code implementations.

Throughout this book, numerous examples are given using Matlab, C++, and Excel. Examples using actual real-time Bloomberg data show how these models work in practice. The purpose of the book is to teach readers how to properly develop and implement derivatives applications so that they can adapt the code for their own use as they develop their own applications. The best way to learn is to follow the examples and run the code. The chapters cover the followingtopics:

  • Chapter 1: Swaps and fixed income securities
  • Chapter 2: Copulas and copula methodologies
  • Chapter 3: Mortgage-backed securities
  • Chapter 4: Collateralized-debt obligations
  • Chapter 5: Credit derivatives
  • Chapter 6: Weather derivatives
  • Chapter 7: Energy and power derivatives
  • Chapter 8: Also covers model implementations for energy derivatives using Matlab, but is written and based on the proprietary work of its author, Craig Pirrong, professor of finance and director of the Global Energy Management Institute at the University of Houston.
  • Chapter 9: Commercial real-estate backed securities (a type of asset-backed security), which is written and is based on the proprietary work of its author, Tien-Foo Sing, professor in the Department of Real Estate Finance at the National University of Singapore.

In order to provide different perspectives to readers and provide as much useful information as possible, the work and models developed and written by various leading practitioners and experts for certain topics are provided and incorporated throughout the book. Thus, not only does this book cover complex derivatives models and provide all of the code (which can be downloaded using a secure ID code from the companion Web site at http://www.ftpress.com/title/0131962590), but it also incorporates important work contributions from leading practitioners in the industry. For instance, the work of Galiani (2003) is discussed in the chapter on copulas and credit derivatives. The work of Picone (2004) is discussed in the chapter on collateralized-debt obligations. The work of Johnson (2004) is discussed in the chapters on fixed-income instruments and mortgage-backed securities. The valuable work for energy derivatives of Doerr (2002), Xiang (2004), and Xu (2004) is given. In Chapter 8, Craig Pirrong discusses the Pirrong-Jermayakan model, a two-dimensional alternating implicit difference (ADI) finite difference scheme for pricing energy derivatives. In Chapter 9, Tien-Foo Sing discusses using Monte Carlo to price asset-based securities. Moreover, numerous individuals named in the acknowledgments contributed useful code throughout the book.

The book emphasizes how to implement and code complex models for pricing, trading, and hedging using C++, Matlab, and Excel. The book does not focus on design patterns or best coding practices (these issues may be discussed in subsequent editions of the book.) Efficiency and modularity are important design goals in building robust object-oriented code. In some cases in this book, the C++ code provided could perhaps be more modular as with some of the routines in building interest rate trees. The emphasis throughout the book has been to provide working implementations for the reader to adapt. However, the book does provide some discussions and helpful tips for building efficient models. For instance, memory allocation for data structures is always an issue when developing a model that requires use and storage of multi-dimensional data. Use of a predefined two-dimensional array, for instance, is not the most efficient way to allocate memory since it is fixed in size. A lot of memory may be unutilized and wasted if you do not know how large the structure needs to be to store the actual data. On the other hand, the predefined array sizes may turn out not to be large enough.

Although two-dimensional arrays are easy to define, use of array template classes (that can handle multiple dimensions) and vectors (of vectors) in the Standard Template Library in C++ are more efficient because they are dynamic and only use as much memory as is needed. Such structures are used in the book, although some two-dimensional arrays are used as well. Matlab, a matrix manipulation language, provides automatic memory allocation of memory as data is used if no array sizes are predefined. All data in Matlab are treated as matrix objects; e.g., a single number is treated as a 1 x 1 array. Data can be added or removed from an object and the object will dynamically expand or reduce the amount of memory space as needed.

While every effort has been made to catch all typos and errors in the book, inevitably in a book of this length and complexity, there may still be a few. Any corrections will be posted on the Web site.

Hopefully, this book will give you the foundation to develop, build, and test your own models while saving you a great deal of development time through use of pre-tested robust code.

Supplemental Files on the Web Site

To download the code in this book, you must first register online. You will need a valid email address and the access code that is printed inside the envelope located at the back of the book.

To register online, go to http://www.ftpress.com/title/0131962590 and follow the on-screen instructions.

If you have any questions about online registration or downloading the code, please send us an inquiry via the Contact Us page at http://www.ftpress.com/about/contact us/.

NOTE: The code files are Copyrighted © 2006 by Justin London and the contributors thereof. Unauthorized reproduction or distribution is prohibited. All rights reserved.


© Copyright Pearson Education. All rights reserved.

Read More Show Less

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