Product Description

During the last decade, financial models based on jump processes have acquired increasing popularity in risk management and option pricing. Much has been published on the subject, but the technical nature of most papers makes them difficult for nonspecialists to understand, and the mathematical tools required for applications can be intimidating. Potential users often get the impression that jump and Lévy processes are beyond their reach.Financial Modelling with Jump Processes shows that this is not so. It provides a self-contained overview of the theoretical, numerical, and empirical aspects involved in using jump processes in financial modelling, and does so in terms within the grasp of nonspecialists. The introduction of new mathematical tools is motivated by its use in the modelling process, and precise mathematical statements of results are accompanied by intuitive explanations. Topics covered in this book include: jump-diffusion models, Lévy processes, stochastic calculus for jump processes, pricing and hedging in incomplete markets, implied volatility smiles, time-inhomogeneous jump processes and stochastic volatility models with jumps. The authors illustrate the mathematical concepts with many numerical and empirical examples and provide the details of numerical implementation of pricing and calibration algorithms. This book demonstrates that the concepts and tools necessary for understanding and implementing models with jumps can be more intuitive that those involved in the Black Scholes and diffusion models. If you have even a basic familiarity with quantitative methods in finance, Financial Modelling with Jump Processes will give you a valuable new set of tools for modelling market fluctuations.

Product Details

• Amazon Sales Rank: #445281 in Books
• Published on: 2003-12-30
• Original language: English
• Number of items: 1
• Binding: Hardcover
• 552 pages

Review
I love this book. It will be required reading for students entering Levy finance. My judgement is that it will be useful both within academia, particularly to people in stochastics, econometrics, and other fields wanting to develop an interest in finance, and to practitioners.
--N.H. Bingham, Journal of the American Statistical Association

I love this book. It will be required reading for students entering Levy finance. My judgment is that it will be useful both within academia, particularly to people in stochastics, econometrics, and other fields wanting to develop an interest in finance, and to practitioners.
-N.H. Bingham, Journal of the American Statistical Association

One of the first texts which is entirely devoted to option pricing with non-continuous jump-type stochastic processes … an easygoing presentation where the basic problems of jump models are not additionally obscured by technicalities.
-Journal of the Royal Statistics

One of the first texts which is entirely devoted to option pricing with non-continuous jump-type stochastic processes… an easygoing presentation where the basic problems of jump models are not additionally obscured by technicalities.
- Journal of the Royal Statistics

Pardon the pun, but I jumped at the opportunity to endorse this book. This book is the first complete treatment of markets rendered incomplete by the reality of jumps in prices and volatilities. If I were you, I would pounce.
-Dr. Peter Carr, Head of Quantitative Research, Bloomberg LP and Director of Masters Program in Mathematical Finance, NYU

The authors conclude the main body of their text by saying: We hope that the present volume will encourage more researchers and practitioners to contribute to this topic and improve on our understanding of theoretical, numerical and practical issues related to financial modelling with jump processes. I am quite convinced that this goal will be achieved.
- Dr. Andreas E. Kyprianou in the 'International Statistics Institute' book reviews

The authors conclude the main body of their text by saying: We hope that the present volume will encourage more researchers and practitioners to contribute to this topic and improve on our understanding of theoretical, numerical and practical issues related to financial modelling with jump processes. I am quite convinced that this goal will be achieved.
-Dr. Andreas E. Kyprianou, International Statistics Institute book reviews

This book is an extremely rich source of information for recent developments in the use of jump processes in financial modelling, in particular the use of Levy processes. The authors work at a comfortable mathematical pace choosing carefully which proofs to include and exclude and never losing sight of financial interpretation and application.

This book is an extremely rich source of information for recent developments in the use of jump processes in financial modelling, in particular the use of lËvy processes. The authors work at a comfortable mathematical pace choosing carefully which proofs to include and exclude and never losing sight of financial interpretation and application.

This book is an extremely rich source of information…the content speaks for itself…
ISI Short Book Reviews

This book is an extremely rich source of information…the content speaks for itself…
-ISI Short Book Reviews

What makes this book attractive is its comprehensiveness. … this is an excellent book. Read it. You will learn much.
-Glyn A. Holton, Contingency Analysis

What makes this book attractive is its comprehensiveness....this is an excellent book. Read it. You will learn much.
- Glyn A.Holton of 'Contingency Analysis'

About the Author
Columbia University, New York, USA Universite Paris VII, France University of Maryland, College Park, USA University of Cambridge and Cambridge Systems Associates Limited, UK

Customer Reviews

Impressive book with a hiccup
A book dealing comprehensively with discontinuous asset prices has long been overdue. This is a first attempt to fill the gap in a manner both rigorous and accessible. The reason why it has taken so long for a book of this kind to appear is that price jumps give rise to a host of issues that are simply not present in continuous models such as Black-Scholes. The authors tackle most of them admirably. The book also contains valuable comprehensive bibliography.

Every pioneer can make a mistake. The authors do not shy away from very complicated questions, such as (locally) optimal hedging in the presence of jumps. I'm afraid they haven't done their homework properly in this case. They claim on page 339 "the minimal martingale measure preserves orthogonality", which happens to be true for continuous price processes but it is false in most models with jumps. Pages 340 and 341 go on to compute the locally risk minimizing hedging coefficients based on the false premise. I hope this can be fixed in the next edition.

NOT Too much focus on the mathematics
There is JUST the right amount of mathematics! Around every mathematical expression, there is a long discussion to explain what's going on. This is the best book there is on applications of Levy processes to finance, no question about it ...

A wonderful book on Levy process
The authors not only understand the math, but also integrate the math with financial economics well. I think Levy process is the way to go in the next decade. For example, fundamentally speaking, Brownian motion cannot explain the equity premium puzzle, hence people resort to other factors, such as incomplete market, behaviors, prospect theory, etc. However, behavioral explanations cannot stand in the long run. Prospect theory may reveal what a "normal" person usually do, but once it is revealed, a normal person can get "smarter" and overcome his/her impetus in making suboptimal decisions. Then behavioral andirrational explanation will fail (eventually). One thing I found from my own research is that the Levy process may be an important yet often ignored factor that can explain unexplained issues in finance, hence we do not have to reply on shaky behavioral and irrational arguments. One last point, behavioral can be either rational (good, correct and acceptable) or irrational (bad and should be got rid of. This would be the long long journey for a person who has deep beliefs in science).