Stochastic calculus has important applications to mathematical finance. This book will appeal to practitioners and graduate students who want an elementary introduction to these areas.

Inhalt

Random Walk and First Step Analysis * First Martingale Steps * Brownian Motion * Martingale--Next Steps * Richness of Paths * Itô Integration * Localization and Itô's Integral * Itô's Formula * Stochastic Differential Equations * Arbitrage and SDE's * The Diffusion Equation * Representation Theorems * Girsanov Theory * Arbitrage and Martingales * The Feynman-Kac Connection