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  • © 2004

Stochastic Calculus for Finance I

The Binomial Asset Pricing Model

Authors:

  • 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
  • Includes supplementary material: sn.pub/extras
  • Request lecturer material: sn.pub/lecturer-material

Part of the book series: Springer Finance (FINANCE)

Part of the book sub series: Springer Finance Textbooks (SFTEXT)

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Table of contents (6 chapters)

  1. Front Matter

    Pages I-XV
  2. The Binomial No-Arbitrage Pricing Model

    • Steven E. Shreve
    Pages 1-23
  3. Probability Theory on Coin Toss Space

    • Steven E. Shreve
    Pages 25-60
  4. State Prices

    • Steven E. Shreve
    Pages 61-87
  5. American Derivative Securities

    • Steven E. Shreve
    Pages 89-117
  6. Random Walk

    • Steven E. Shreve
    Pages 119-142
  7. Interest-Rate-Dependent Assets

    • Steven E. Shreve
    Pages 143-176
  8. Back Matter

    Pages 177-187

About this book

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.

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Authors and Affiliations

  • Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, USA

    Steven E. Shreve

About the author

 

Bibliographic Information

  • Book Title: Stochastic Calculus for Finance I

  • Book Subtitle: The Binomial Asset Pricing Model

  • Authors: Steven E. Shreve

  • Series Title: Springer Finance

  • DOI: https://doi.org/10.1007/978-0-387-22527-2

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 2004

  • Hardcover ISBN: 978-0-387-40100-3Published: 21 April 2004

  • Softcover ISBN: 978-0-387-24968-1Published: 28 June 2005

  • eBook ISBN: 978-0-387-22527-2Published: 01 November 2019

  • Series ISSN: 1616-0533

  • Series E-ISSN: 2195-0687

  • Edition Number: 1

  • Number of Pages: XV, 187

  • Topics: Quantitative Finance, Applications of Mathematics, Finance, general, Probability Theory and Stochastic Processes

Buy it now

Buying options

eBook USD 49.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 64.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 64.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access