Authors:
The fundamental theorem of Asset Pricing due to Delbaen and Schachermayer was a milestone in the history of modern mathematical finance and now forms the cornerstone of this book
Puts into book format a series of major results due mostly to the 2 authors of this book
Embeds highest-level research results into a treatment amenable to graduate students, with introductory, explanatory background
Long-awaited in the quantitative finance community
Includes supplementary material: sn.pub/extras
Part of the book series: Springer Finance (FINANCE)
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Table of contents (15 chapters)
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Front Matter
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A Guided Tour to Arbitrage Theory
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Front Matter
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The Original Papers
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Front Matter
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Back Matter
Keywords
- Arbitrage
- Black-Scholes
- Finance
- Hedging
- JEL: G12, G13
- Martingale
- Numéraire
- Probability space
- Stochastic Processes
- change of numeraire
- fundamental theorem of asset pricing
- local martingale
- stochastic process
- superreplication
- quantitative finance
Reviews
From the reviews:
"As a learning device, I think this works really well. The second half of the book allows readers to ‘put to use’ the mathematics they learn in the first half. I really like the authors’ writing style. They provide plenty of intuitive insights and historical notes along the way as they formally develop concepts. … I recommend it highly to theoretically-inclined financial engineers and researchers." (www.riskbook.com, September, 2006)
"The aim of the book, as the authors state … is to give the reader a guided tour through the mathematics of arbitrage. … The book will be of invaluable help to new researchers in the area of incomplete markets. A new graduate student wishing to do such research would start by reading the papers in the book. She or he now has a very good book to assist this study." (Angelos Dassios, Mathematical Reviews, Issue 2007 a)
About the authors
Walter Schachermeyer, born in 1950 in Linz, Austria, has received--as the first mathematician--the 1998 Wittgenstein Award, Austria's highest honor for scienctific achievement. Since 1998 he holds the Chair for Actuarial and Financial Mathematics at the Vienna University of Technolgoy. Among his achievements is the proof of the "Fundamental Theorem of Asset Pricing" in its general form, which was done in joint work with Freddy Delbaen.
Freddy Delbaen, born in 1946 in Duffel/Antwerpen, Belgium, is Professor for Financial Mathematics at the ETH in Zurich since 1995.
Bibliographic Information
Book Title: The Mathematics of Arbitrage
Authors: Freddy Delbaen, Walter Schachermayer
Series Title: Springer Finance
DOI: https://doi.org/10.1007/978-3-540-31299-4
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2006
Hardcover ISBN: 978-3-540-21992-7Published: 16 December 2005
Softcover ISBN: 978-3-642-06030-4Published: 12 February 2010
eBook ISBN: 978-3-540-31299-4Published: 14 February 2006
Series ISSN: 1616-0533
Series E-ISSN: 2195-0687
Edition Number: 1
Number of Pages: XVI, 371
Topics: Quantitative Finance, Probability Theory and Stochastic Processes, Operator Theory, Functional Analysis, Finance, general