Synopses & Reviews
This is a lively textbook providing a solid introduction to financial option valuation for undergraduate students armed with a working knowledge of a first year calculus. Written in a series of short chapters, its self-contained treatment gives equal weight to applied mathematics, stochastics and computational algorithms. No prior background in probability, statistics or numerical analysis is required. Detailed derivations of both the basic asset price model and the Black-Scholes equation are provided along with a presentation of appropriate computational techniques including binomial, finite differences and in particular, variance reduction techniques for the Monte Carlo method. Each chapter comes complete with accompanying stand-alone MATLAB code listing to illustrate a key idea. Furthermore, the author has made heavy use of figures and examples, and has included computations based on real stock market data.
Review
"...well organized and well written...an excellent introductory text. It will be useful to students from a wide range of backgrounds and an essential complement to the standard undergraduate course which embeds mathematical finance into probability theory." UK Nonlinear News
Synopsis
Textbook providing an introduction to financial option valuation for undergraduates. Solutions available from
[email protected].
Synopsis
Textbook providing an introduction to financial option valuation for undergraduates. Solutions available from
[email protected].
Synopsis
This lively textbook provides an introduction to financial option valuation for undergraduates armed with a knowledge of first year calculus. Its approach gives equal weight to applied mathematics, stochastics and computations. Contains stand-alone MATLAB code to illustrate ideas and examples using real stock market data. Solutions available from
[email protected].
Synopsis
This is a lively textbook providing an introduction to financial option valuation for undergraduates armed with a knowledge of first year calculus. Written in a series of short chapters, its self-contained treatment gives equal weight to applied mathematics, stochastics and computational algorithms. No background in probability, statistics or numerical analysis required. The book includes many figures and examples, as well as computations based on real stock market data and each chapter comes with an accompanying stand-alone MATLAB code to illustrate a key idea. Solutions available from
[email protected].
About the Author
Des Higham is a Professor of Mathematics at the University of Strathclyde. He has written 2 previous books, MATLAB Guide 0898715164 and Learning LaTeX 08988715164.
Table of Contents
1. Introduction; 2. Option valuation preliminaries; 3. Random variables; 4. Computer simulation; 5. Asset price movement; 6. Asset price model: part I; 7. Asset price model: part II; 8. Black-Scholes PDE and formulas; 9. More on hedging; 10. The Greeks; 11. More on the Black-Scholes formulas; 12. Risk neutrality; 13. Solving a nonlinear equation; 14. Implied volatility; 15. The Monte Carlo method; 16. The binomial method; 17. Cash-or-nothing options; 18. American options; 19. Exotic options; 20. Historical volatility; 21. Monte Carlo part II: variance reduction by antithetic variates; 22. Monte Carlo part III: variance reduction by control variates; 23. Finite difference methods; 24. Finite difference methods for the Black-Scholes PDE.