Overview

This volume collects papers about the laws of geometric Brownian motions and their time-integrals, written by the author and coauthors between 1988 and 1998. These functionals play an important role in Mathematical Finance, as well as in (probabilistic) studies related to hyperbolic geometry, and also to random media. Throughout the volume, connections with more recent studies involving exponential functionals of Levy processes are indicated. Some papers originally published in French are made available in English for the first time.

Full Product Details

Author:   Marc Yor
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 2001
Dimensions:   Width: 15.50cm , Height: 1.10cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9783540659433

ISBN 10:   3540659439
Pages:   206
Publication Date:   14 August 2001
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Reviews

From the reviews: <p> This book is a collection of papers that deal with the laws of Geometric Brownian Motion and their time-integrals with an emphasis on Asian Options. Each paper is self-contained and presents the topics at a high level. ... Thus, this book provides a valuable reference for people investigating and applying this mathematics to the study of Asian Options. (Moreno Fasolo, www.quantnotes.com, November, 2001) <p> This book is a collection of ten papers on the law of certain functionals of geometric Brownian motion. ... The volume combines a great variety of different techniques, especially from Stochastic Analysis, and wonderfully illustrates their applicability. ... Some of these papers are made available in English for the first time. They are supplemented by an updated list of references and a short review of further progress made since publication of the presented results. (Peter Bank, Zentralblatt MATH, Vol. 999 (24), 2002) <p> Most of the papers are motivated by financial considerations, in particular Asian options ... . Each paper is appended with a postscript, which, in most cases, indicates the current context of the article by commenting on recent developments and including additional references. An index has also been provided. ... this book gathers together a collection of interesting papers, some of which contain some quite elegant results. (W. P. Wood, The Australian Mathematical Society Gazette, Vol. 29 (2), 2002) <p> The present book is of great importance to mathematical finance. That is the reason why it is published in the new series Springer Finance. ... The present volume is a collection of papers written by the author and 5 co-authors between1988 and 1998, partly translated from French originals. ... it is welcome to reprint interesting papers in mathematical finance which are spread over different journals not easily available to the reader. (H.-J. Girlich, Zeitschrift fA1/4r Analysis und ihre Anwendungen, Vol. 21 (1), 2002)

From the reviews: This book is a collection of papers that deal with the laws of Geometric Brownian Motion and their time-integrals with an emphasis on Asian Options. Each paper is self-contained and presents the topics at a high level. ... Thus, this book provides a valuable reference for people investigating and applying this mathematics to the study of Asian Options. (Moreno Fasolo, www.quantnotes.com, November, 2001) This book is a collection of ten papers on the law of certain functionals of geometric Brownian motion. ... The volume combines a great variety of different techniques, especially from Stochastic Analysis, and wonderfully illustrates their applicability. ... Some of these papers are made available in English for the first time. They are supplemented by an updated list of references and a short review of further progress made since publication of the presented results. (Peter Bank, Zentralblatt MATH, Vol. 999 (24), 2002) Most of the papers are motivated by financial considerations, in particular Asian options ... . Each paper is appended with a postscript, which, in most cases, indicates the current context of the article by commenting on recent developments and including additional references. An index has also been provided. ... this book gathers together a collection of interesting papers, some of which contain some quite elegant results. (W. P. Wood, The Australian Mathematical Society Gazette, Vol. 29 (2), 2002) The present book is of great importance to mathematical finance. That is the reason why it is published in the new series Springer Finance. ... The present volume is a collection of papers written by the author and 5 co-authors between 1988 and 1998, partly translated from French originals. ... it is welcome to reprint interesting papers in mathematical finance which are spread over different journals not easily available to the reader. (H.-J. Girlich, Zeitschrift fur Analysis und ihre Anwendungen, Vol. 21 (1), 2002)

From the reviews: This book is a collection of papers that deal with the laws of Geometric Brownian Motion and their time-integrals with an emphasis on Asian Options. Each paper is self-contained and presents the topics at a high level. ... Thus, this book provides a valuable reference for people investigating and applying this mathematics to the study of Asian Options. (Moreno Fasolo, www.quantnotes.com, November, 2001) This book is a collection of ten papers on the law of certain functionals of geometric Brownian motion. ... The volume combines a great variety of different techniques, especially from Stochastic Analysis, and wonderfully illustrates their applicability. ... Some of these papers are made available in English for the first time. They are supplemented by an updated list of references and a short review of further progress made since publication of the presented results. (Peter Bank, Zentralblatt MATH, Vol. 999 (24), 2002) Most of the papers are motivated by financial considerations, in particular Asian options ... . Each paper is appended with a postscript, which, in most cases, indicates the current context of the article by commenting on recent developments and including additional references. An index has also been provided. ... this book gathers together a collection of interesting papers, some of which contain some quite elegant results. (W. P. Wood, The Australian Mathematical Society Gazette, Vol. 29 (2), 2002) The present book is of great importance to mathematical finance. That is the reason why it is published in the new series Springer Finance. ... The present volume is a collection of papers written by the author and 5 co-authors between 1988 and 1998, partly translated from French originals. ... it is welcome to reprint interesting papers in mathematical finance which are spread over different journals not easily available to the reader. (H.-J. Girlich, Zeitschrift fur Analysis und ihre Anwendungen, Vol. 21 (1), 2002)

From the reviews: This book is a collection of papers that deal with the laws of Geometric Brownian Motion and their time-integrals with an emphasis on Asian Options. Each paper is self-contained and presents the topics at a high level. ... Thus, this book provides a valuable reference for people investigating and applying this mathematics to the study of Asian Options. (Moreno Fasolo, www.quantnotes.com, November, 2001) This book is a collection of ten papers on the law of certain functionals of geometric Brownian motion. ... The volume combines a great variety of different techniques, especially from Stochastic Analysis, and wonderfully illustrates their applicability. ... Some of these papers are made available in English for the first time. They are supplemented by an updated list of references and a short review of further progress made since publication of the presented results. (Peter Bank, Zentralblatt MATH, Vol. 999 (24), 2002) Most of the papers are motivated by financial considerations, in particular Asian options ... . Each paper is appended with a postscript, which, in most cases, indicates the current context of the article by commenting on recent developments and including additional references. An index has also been provided. ... this book gathers together a collection of interesting papers, some of which contain some quite elegant results. (W. P. Wood, The Australian Mathematical Society Gazette, Vol. 29 (2), 2002) The present book is of great importance to mathematical finance. That is the reason why it is published in the new series Springer Finance. ... The present volume is a collection of papers written by the author and 5 co-authors between 1988 and 1998, partly translated from French originals. ... it is welcome to reprint interesting papers in mathematical finance which are spread over different journals not easily available to the reader. (H.-J. Girlich, Zeitschrift fur Analysis und ihre Anwendungen, Vol. 21 (1), 2002)

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