Option Pricing
Mathematical Models and Computations

Contents

1. An Introduction to Options and Markets

2. The Random Nature of the Stock Market

3. Basic Option Theory

4. Partial Differential Equations

5. Explicit Solutions of the Diffusion Equation in Fixed Domains

6. American Options as Free Boundary Problems

7. American Options as Variational Inequalities

8. Dividends and Time-Dependent Parameters

9. Exotic Options

10. Barrier Options

11. Asian Options

12. Lookback Options

13. Options with Transaction Costs

14. Interest Rate Derivative Products

15. Convertible Bonds

16. Numerical Methods

17. Finite-Difference Approximations

18. The Explicit Finite-Difference Method

19. Implicit Finite-Difference Methods

20. Methods for Free Boundary Problems

21. Methods for American Options

22. Methods for Exotic Options

App A. The Probability Density Function

App B. First Exit Times

App C. Lattice Methods

App D. Finite Element Methods

App E. Summary of Differential Equations

When it was first published in 1993, this book caused quite a stir in financial engineering circles. To this day, it remains the definitive text on the "differential equations approach" to pricing derivatives.

 

Four chapters teach what you need to know about partial differential equations. There are chapters each on barrier options, Asian options and lookback options. You learn how to incorporate transaction costs. An entire chapter is devoted to convertible bonds. There are three chapters on finite difference methods; a chapter on fixed income derivatives; a chapter each on numerical methods and lattice methods; and so much more! The authors help you get behind the mathematics to understand what it all means. You gain both theoretical insight and practical expertise. For financial engineers, this book is quintessential.

For related books, see sections:

Markets - Derivatives

Financial Engineering - Basic Theory

Financial Engineering - Numerical Methods

Math - Financial Math

Math - Financial Programming

Other Topics - Trading

 

 

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