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Stochastic Calculus for Finance I: The Binomial Asset Pricing Model de Steven Shreve

Stochastic Calculus for Finance I: The Binomial Asset Pricing Model

Autor Steven Shreve
en Limba Engleză Hardback – 21 apr 2004
Developed for the professional Master's program in Computational Finance at Carnegie Mellon, the leading financial engineering program in the U.S.
Has been tested in the classroom and revised over a period of several years
Exercises conclude every chapter; some of these extend the theory while others are drawn from practical problems in quantitative finance
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Specificații

ISBN-13: 9780387401003
ISBN-10: 0387401008
Pagini: 187
Ilustrații: XV, 187 p.
Dimensiuni: 155 x 235 x 15 mm
Greutate: 0.45 kg
Ediția:2004
Editura: Springer
Colecția Springer
Locul publicării:New York, NY, United States

Public țintă

Graduate

Cuprins

1. The Binomial No-Arbitrage Pricing Model1.1. One-Period Binomial Model1.2. Multiperiod Binomial Model1.3. Computational Considerations1.4. Summary1.5. Notes1.6. Exercises 2. Probability Theory on Coin Toss Space2.1. Finite Probability Spaces2.2. Random Variables, Distributions, and Expectations2.3. Conditional Expectations2.4. Martingales2.5. Markov Processes2.6. Summary2.7. Notes2.8. Exercises 3. State Prices3.1. Change of Measure3.2. Radon-Nikod\'ym Derivative Process3.3. Capital Asset Pricing Model3.4. Summary3.5. Notes3.6. Exercises 4. American Derivative Securities4.1. Introduction4.2. Non-Path-Dependent American Derivatives4.3. Stopping Times4.4. General American Derivatives4.5. American Call Options4.6. Summary4.7. Notes4.8. Exercises 5. Random Walk5.1. Introduction5.2. First Passage Times5.3. Reflection Principle5.4. Perpetual American Put: An Example5.5. Summary5.6. Notes5.7. Exercises 6. Interest-Rate-Dependent Assets6.1. Introduction6.2. Binomial Model for Interest Rates6.3. Fixed-Income Derivatives6.4. Forward Measures6.5. Futures6.6. Summary6.7. Notes6.8. Exercises Proof of Fundamental Properties of Conditional ExpectationsReferencesIndex

Notă biografică

 

Textul de pe ultima copertă

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.
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.

Caracteristici

Developed for the professional Master's program in Computational Finance at Carnegie Mellon, the leading financial engineering program in the U.S.
Has been tested in the classroom and revised over a period of several years

Descriere

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 stochastic 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.
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.