Exponential Functionals of Brownian Motion and Related Processes - Brossura

Yor, Marc

Brossura

ISBN 10: 3540659439 ISBN 13: 9783540659433

Casa editrice: Springer, 2013

Riassunto

This volume collects papers about the laws of geometric Brownian motions and their time-integrals, written by the author and coauthors between 1992 and 1994. 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 for example exponential functionals of Lévy processes are indicated. Some papers originally published in French are made available in English for the first time.

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Recensione

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 für Analysis und ihre Anwendungen, Vol. 21 (1), 2002)

Contenuti

0. Functionals of Brownian Motion in Finance and in Insurance.- 1. On Certain Exponential Functionals of Real-Valued Brownian Motion J Appl. Prob. 29 (1992), 202–208.- 2. On Some Exponential Functionals of Brownian Motion Adv. Appl. Prob. 24 (1992), 509–531.- 3. Some Relations between Bessel Processes, Asian Options and Confluent Hypergeometric Functions C.R. Acad. Sci., Paris, Sér. I 314 (1992), 417–474 (with Hélyette Geman).- 4. The Laws of Exponential Functionals of Brownian Motion, Taken at Various Random Times C.R. Acad. Sci., Paris, Sér. I 314 (1992), 951–956.- 5. Bessel Processes, Asian Options, and Perpetuities Mathematical Finance, Vol. 3, No. 4 (October 1993), 349–375 (with Hélyette Geman).- 6. Further Results on Exponential Functionals of Brownian Motion.- 7. From Planar Brownian Windings to Asian Options Insurance: Mathematics and Economics 13 (1993), 23–34.- 8. On Exponential Functionals of Certain Lévy Processes Stochastics and Stochastic Rep. 47 (1994), 71–101 (with P. Carmona and F. Petit).- 9. On Some Exponential-integral Functionals of Bessel Processes Mathematical Finance, Vol. 3 No. 2 (April 1993), 231–240.- 10. Exponential Functionals of Brownian Motion and Disordered Systems J. App. Prob. 35 (1998), 255–271 (with A. Comtet and C. Monthus).

Dettagli dell?edizione

• Editore: Springer
• Data di pubblicazione: 2013
• Lingua: Inglese
• ISBN 10: 3540659439
• ISBN 13: 9783540659433
• Rilegatura: Copertina flessibile
• Numero di pagine: 216
• Contatto del produttore: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com