Financial Calculus An Introduction to Derivative Pricing [Hardcover]

A rigorous introduction to the mathematics of pricing, construction and hedging of derivative securities.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.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.Here is the first rigorous and accessible account of the mathematics behind the pricing, construction, and hedging of derivative securities. With mathematical precision and in a style tailored for market practioners, the authors describe key concepts such as martingales, change of measure, and the Heath-Jarrow-Morton model. Starting from discrete-time hedging on binary trees, the authors develop continuous-time stock models (including the Black-Scholes method). They stress practicalities including examples from stock, currency and interest rate lS�