Including a new chapter on credit risk modelling and new developments in econometrics, the new edition of this bestselling resource provides an accessible overview of financials models based on jump processes used in risk management and option pricing. After presenting the necessary mathematics, the text presents theoretical, numerical, and empirical issues. While the emphasis is on demystifying technical difficulties so as to better understand applications, mathematical results are presented in a rigorous, though self-contained, manner, accessible to any reader having basic knowledge of the Black Scholes model. Concepts are illustrated through many numerical and empirical examples.
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"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 "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 lKvy 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. "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 "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' "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 StatisticsAbout 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
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