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The Mathematics of Arbitrage

  • Book
  • © 2006

Overview

  • 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)

  1. A Guided Tour to Arbitrage Theory

  2. The Original Papers

Keywords

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.

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