Stochastic Calculus for Finance I

The Binomial Asset Pricing Model

Steven E. Shreve - Collection Springer Finance

184 pages, parution le 17/08/2005

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Résumé

Stochastic Calculus for Finance evolved from the first ten years of the Carnegie Mellon Professional Master's program in Computational Finance. The content of this book has been used successfully with students whose mathematics background consists of calculus and calculus-based probability. The text gives both precise statements of results, plausibility arguments, and even some proofs, but more importantly intuitive explanations developed and refine through classroom experience with this material are provided. The book includes a self-contained treatment of the probability theory needed for stchastic calculus, including Brownian motion and its properties. Advanced topics include foreign exchange models, forward measures, and jump-diffusion processes.

This book is being published in two volumes. The first volume presents the binomial asset-pricing model primarily as a vehicle for introducing in the simple setting the concepts needed for the continuous-time theory in the second volume.

Chapter summaries and detailed illustrations are included. Classroom tested exercises conclude every chapter. Some of these extend the theory and others are drawn from practical problems in quantitative finance.

Advanced undergraduates and Masters level students in mathematical finance and financial engineering will find this book useful.

L'auteur - Steven E. Shreve

Steven E. Shreve is Co-Founder of the Carnegie Mellon MS Program in Computational Finance and winner of the Carnegie Mellon Doherty Prize for sustained contributions to education.

Sommaire

The Binomial No-Arbitrage Pricing Model
Probability Theory on Coin Toss Space
State Prices
American Derivative Securities
Random Walk
Interest-Rate-Dependent Assets
Proof of Fundamental Properties of Conditional Expectations
References
Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Steven E. Shreve
Collection	Springer Finance
Parution	17/08/2005
Nb. de pages	184
Format	15,5 x 23,5
Couverture	Broché
Poids	297g
Intérieur	Noir et Blanc
EAN13	9780387249681
ISBN13	978-0-387-24968-1