An Introduction to Financial Option Valuation

Name: An Introduction to Financial Option Valuation
Author: Desmond Of Strathclyde) Higham

Mathematics, Stochastics and Computation

Specificaties

Paperback, 296 blz. | Engels

Cambridge University Press | e druk, 2004

ISBN13: 9780521547574

Rubricering

Juridisch : Management

Cambridge University Press e druk, 2004 9780521547574

Verwachte levertijd ongeveer 9 werkdagen

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Samenvatting

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.

Specificaties

ISBN13:9780521547574

Taal:Engels

Bindwijze:paperback

Aantal pagina's:296

Uitgever:Cambridge University Press

Verschijningsdatum:15-4-2004

Hoofdrubriek:Management

Inhoudsopgave

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.