Description
Book SynopsisProof of the "Fundamental Theorem of Asset Pricing" in its general form by 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 authors of this book.
Embeds highest-level research results into a treatment amenable to graduate students, with introductory, explanatory background.
Awaited in the quantitative finance community.
Trade ReviewFrom 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)
Table of ContentsA Guided Tour to Arbitrage Theory.- The Story in a Nutshell.- Models of Financial Markets on Finite Probability Spaces.- Utility Maximisation on Finite Probability Spaces.- Bachelier and Black-Scholes.- The Kreps-Yan Theorem.- The Dalang-Morton-Willinger Theorem.- A Primer in Stochastic Integration.- Arbitrage Theory in Continuous Time: an Overview.- The Original Papers.- A General Version of the Fundamental Theorem of Asset Pricing (1994).- A Simple Counter-Example to Several Problems in the Theory of Asset Pricing (1998).- The No-Arbitrage Property under a Change of Numéraire (1995).- The Existence of Absolutely Continuous Local Martingale Measures (1995).- The Banach Space of Workable Contingent Claims in Arbitrage Theory (1997).- The Fundamental Theorem of Asset Pricingfor Unbounded Stochastic Processes (1998).- A Compactness Principle for Bounded Sequences of Martingales with Applications (1999).
