Here is the first rigorous and accessible account of the mathematics behind the pricing, construction and hedging of derivative securities. Key concepts are described with mathematical precision in a style tailored for market practitioners. Practicalities are stressed, including examples from stock, currency and interest rate markets, all accompanied by graphical illustrations. A full glossary of probabilistic and financial terms is provided.This up-to-date book will be an essential purchase for market practitioners, quantitative analysts, and derivatives traders, whether existing or trainees in investment banks in the major financial centres throughout the world.