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The Mathematics of Arbitrage by Freddy Delbaen,Walter Schachermayer
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The Mathematics of Arbitrage [Hardback]

by Freddy Delbaen and Walter Schachermayer
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Description of The Mathematics of Arbitrage

This long-awaited book aims at a rigorous mathematical treatment of the theory of pricing and hedging of derivative securities by the principle of 'no arbitrage'. The first part presents a relatively elementary introduction, restricting itself to the case of finite probability spaces. The second part consists of an updated edition of seven original research papers by the authors, which analyse the topic in the general framework of semi-martingale theory.

Title Information

ISBN:
9783540219927
Pages:
387 pages
Format:
Hardback
Product Code:
20264
Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Published:
16/12/2005
Edition:
1st Edition

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About Freddy Delbaen and Walter Schachermayer

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.

Contents of The Mathematics of Arbitrage

Models on Finite Probability Spaces
The Kreps-Yan Theorem
The Dalang-Morton-Willinger-Theorem
The Continuous Time Model
Bachelier and the Black-Scholes
The No-Arbitrage Theory for General Processes
A General Version of Fundamental Theorem of Asset Pricing
The Fundamental Theorem of Asset Pricing for Unbounded Stochastic Processes
A Compactness Principle for Bounded Sequences of Martingales with Applications
The Banach Space Workable Contingent Claims in Arbitrage Theory
The Existence of Absolutely Continuous Local Martingale Measures
The No-Arbitrage Property Under a Change of Numéraire
A Simple Counter-Example to Several Problems in the Theory of Asset Pricing, Which Arises in Many Incomplete Markets


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