Includes bibliographical references (p. 391-395) and index.

Introduction and overview -- Tools from calculus and analysis -- Probability -- Interest and bond prices -- Models of portfolio choice -- Prices in a mean-variance world -- Rational decisions under risk -- Observed decisions under risk -- Distributions of returns -- Dynamics of prices and returns -- Stochastic calculus -- Portfolio decisions over time -- Optimal growth -- Dynamic models for prices -- Efficient markets -- Static arbitrage pricing -- Dunamic arbitrage pricing -- Properties of option prices -- Martingale pricing -- Modeling volatility -- Discontinuous price processes -- Options on jump processes -- Options on stochastic volatility processes.