Stochastic Methods by Crispin Gardiner

Stochastic Methods by Crispin Gardiner

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Zusammenfassung

Further, in response to the revolution in financial markets following from the discovery by Fischer Black and Myron Scholes of a reliable option pricing formula, I have written a chapter on the application of stochastic methods to financial markets.

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Stochastic Methods by Crispin Gardiner

This fourth edition of Stochastic Methods is thoroughly revised and augmented, and has been completely reset. While keeping to the spirit of the book I wrote originally, I have reorganised the chapters of Fokker-Planck equations and those on approximation methods, and introduced new material on the white noise limit of driven stochastic systems, and on applications and validity of simulation methods based on the Poisson representation. Further, in response to the revolution in financial markets following from the discovery by Fischer Black and Myron Scholes of a reliable option pricing formula, I have written a chapter on the application of stochastic methods to financial markets. In doing this, I have not restricted myself to the geometric Brownian motion model, but have also attempted to give some favour of the kinds of methods used to take account of the realities of financial markets. This means that I have also given a treatment of Levy processes and their applications to finance, since these are central to most current thinking. Since this book was written the rigorous mathematical formulation of stochastic processes has developed considerably, most particularly towards greater precision and generality, and this has been reflected in the way the subject is presented in modern applications, particularly in finance.

From the reviews of the fourth edition:

“This is the fourth edition of a textbook intended for everyone interested in practising stochastic processes… this fourth one is ‘thoroughly revised and augmented, and has been completely reset. … this new edition is designed to cater better for the wider readership as well as to those [he] originally had in mind’. … The bibliography is well presented, with a list of the references cited in each chapter, a commented global bibliography and an author index.” (Yves Elskens, Belgian Physical Society Magazine, Issue 2, 2012)

SKU Nicht verfügbar
ISBN 13 9783540707127
ISBN 10 3540707123
Titel Stochastic Methods
Autor Crispin Gardiner
Serie Springer Series In Synergetics
Buchzustand Nicht verfügbar
Bindungsart Hardback
Verlag Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Erscheinungsjahr 2009-01-16
Seitenanzahl 447
Hinweis auf dem Einband Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis Nicht verfügbar