Quantitative Modeling of Derivative Securities demonstrates how to take the basic ideas of arbitrage theory and apply them - in a very concrete way - to the design and analysis of financial products. Based primarily (but not exclusively) on the analysis of derivatives, the book emphasizes relative-value and hedging ideas applied to different financial instruments. Using a "financial engineering approach," the theory is developed progressively, focusing on specific aspects of pricing and hedging and with problems that the technical analyst or trader has to consider in practice.
More than just an introductory text, the reader who has mastered the contents of this one book will have breached the gap separating the novice from the technical and research literature.
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The Co-Author, Peter Laurence, May 15, 2000
This book introduces readers to discrete and continuous time finance. It is suitable for both academics and practitioners. For the former, it provides bullet point introductions at a good level of rigour to many of the key tools which are stepping stones in the understanding of financial modeling. To mention a few: stochastic integration, Ito's lemma. Girsanov' theorem, fist hitting times, lattice and finite difference techniques. For the novice practitioners the chapters on binomiial and trinomial trees, and on ``practical delta hedging'' provide a roadmap of some of the vital building blocks all must know. For more advanced practitioners and for novices whio are willing to invest the time to study carefully the preparatory material on stochastic processes in chapters 9-11, will find that chapters 12-15 on interest rate modeling bring them up to date on cutting edge theory and methodology. Topics covered include forward measures, Heath-Jarrow-Morton, the Libor Market model Jamshidian's model, exponetially affine models and associated sqare root processes.
Starting in June, 2000, the authors will add a link on their web pages to a running list of errata and typos reported so far. Also, we welcome readers comment and feedback to help improve the exposition in future editions. We wish you good reading!
Endorsements
``This fine treatment of the arbitrage pricing of derivatives will become a standard. Avellaneda and Laurence have brought their extensive knowledge in mathematics and financial practice into a highly readable source, which graduate students and financial analysts will find both concrete and authoritative.'' Darrell Duffie, Professor of Finance, Graduate School of Business, Stanford University
`` I learned a great deal of what I know of mathematics of finance from Marco Avellaneda -- and I know that I will learn more. Not only is he a great scholar, but he is a superb pedagogue, capable of cutting to the chase and avoiding needless complications -- with the ease and simplicity of those who truly master the subject. I am glad that this book by Avellaneda and Laurence is out so more people can share their knowledge.'' Nassim Taleb, Trader, Paribas Capital Markets
``Written by two of the field's leading experts, this book stands out from the crowd of recent books on derivatives pricing theory. I recommend it to anyone interested in this fascinating field.''Peter Carr, Principal, Bank of America Securities
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