Includes bibliographical references (p. 178) and index.

Introduction to the techniques of derivative modeling -- Preliminary mathematical tools -- Stochastic calculus -- Applications of stochastic calculus to finance -- From stochastic processes formalism to differential equation formalism -- Understanding the Black-Scholes equation -- Interest rate hedging -- Interest rate derivatives : HJM models -- Differential equations, boundary conditions and solutions -- Credit spreads -- Specific models -- Exercises -- Solutions.