Financial Calculus: An Introduction to Derivative Pricing
Cambridge University Press
Edition: 17th ed., 9/19/1996
EAN 9780521552899, ISBN10: 0521552893
Hardcover, 244 pages, 23.9 x 16.5 x 1.8 cm
Language: English
The rewards and dangers of speculating in the modern financial markets have come to the fore in recent times with the collapse of banks and bankruptcies of public corporations as a direct result of ill-judged investment. At the same time, individuals are paid huge sums to use their mathematical skills to make well-judged investment decisions. Here now is the first rigorous and accessible account of the mathematics behind the pricing, construction and hedging of derivative securities. Key concepts such as martingales, change of measure, and the Heath-Jarrow-Morton model are described with mathematical precision in a style tailored for market practitioners. Starting from discrete-time hedging on binary trees, continuous-time stock models (including Black-Scholes) are developed. Practicalities are stressed, including examples from stock, currency and interest rate markets, all accompanied by graphical illustrations with realistic data. A full glossary of probabilistic and financial terms is provided. This unique book will be an essential purchase for market practitioners, quantitative analysts, and derivatives traders.
The parable of the bookmaker
1. Introduction
2. Discrete processes
3. Continuous processes
4. Pricing market securities
5. Interest rates
6. Bigger models
Appendix 1. Further reading
Appendix 2. Notation
Appendix 3. Answers to exercises
Appendix 4. Glossary of technical terms
Index.
'... a very readable and useful introduction to the pricing of derivatives ... A recommendable book.' Wil Schilders, ITW Nieuws