Since its introduction in
the early 1980s, the risk-neutral valuation principle has proved to be an important tool
in the pricing and hedging of financial derivatives.
Following the success of the
first edition of Risk-Neutral Valuation,the authors have thoroughly revised the entire
book, taking into account recent developments in the field, and changes in their own
thinking and teaching.
This second edition -
completely up to date with new exercises - provides a comprehensive and self-contained
treatment of the probabilistic theory behind the risk-neutral valuation principle and its
application to the pricing and hedging of financial derivatives. On the probabilistic
side, both discrete- and continuous-time stochastic processes are treated, with special
emphasis on martingale theory, stochastic integration and change-of-measure techniques.
Based on firm probabilistic foundations, general properties of discrete- and
continuous-time financial market models are discussed.
In particular, the chapters on Incomplete Markets and Interest Rate Theory have been
updated and extended, there is a new chapter on the important and growing area of Credit
Risk and, in recognition of the increasing popularity of Levy finance, there is
considerable new material on:
Infinite divisibility and
Levy processes
Levy-based models in
incomplete markets
Throughout, arbitrage-based
arguments and risk-neutral valuation remain the basic theme, and the book retains the
comprehensive and self-contained character of the first edition, so appealing to graduate
students and practitioners in mathematical finance, arbitrage pricing and measure theory
436 pages