Stochastic Calculus for Finance I: The Binomial Asset Pricing Model / Edition 1

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More About This Textbook


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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Product Details

  • ISBN-13: 9780387249681
  • Publisher: Springer New York
  • Publication date: 4/22/2008
  • Series: Springer Finance / Springer Finance Textbooks Series
  • Edition description: 2004
  • Edition number: 1
  • Pages: 187
  • Sales rank: 747,157
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.44 (d)

Table of Contents

1. The Binomial No-Arbitrage Pricing Model
1.1. One-Period Binomial Model
1.2. Multiperiod Binomial Model
1.3. Computational Considerations
1.4. Summary
1.5. Notes
1.6. Exercises 2. Probability Theory on Coin Toss Space
2.1. Finite Probability Spaces
2.2. Random Variables, Distributions, and Expectations
2.3. Conditional Expectations
2.4. Martingales
2.5. Markov Processes
2.6. Summary
2.7. Notes
2.8. Exercises 3. State Prices
3.1. Change of Measure
3.2. Radon-Nikod\'ym Derivative Process
3.3. Capital Asset Pricing Model
3.4. Summary
3.5. Notes
3.6. Exercises 4. American Derivative Securities
4.1. Introduction
4.2. Non-Path-Dependent American Derivatives
4.3. Stopping Times
4.4. General American Derivatives
4.5. American Call Options
4.6. Summary
4.7. Notes
4.8. Exercises 5. Random Walk
5.1. Introduction
5.2. First Passage Times
5.3. Reflection Principle
5.4. Perpetual American Put: An Example
5.5. Summary
5.6. Notes
5.7. Exercises 6. Interest-Rate-Dependent Assets
6.1. Introduction
6.2. Binomial Model for Interest Rates
6.3. Fixed-Income Derivatives
6.4. Forward Measures
6.5. Futures
6.6. Summary
6.7. Notes
6.8. Exercises Proof of Fundamental Properties of Conditional Expectations
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