This book presents in a vivid yet concise style the necessary statistical and mathematical background for Financial Engineers and introduces to the main ideas in mathematical finance and financial statistics. Topics covered are, among others, option valuation, financial time series analysis, value-at-risk, copulas, and statistics of the extremes.

Financial Engineers

Option Pricing: Derivatives.- Introduction to Option Management.- Basic Concepts of Probability Theory.- Stochastic Processes in Discrete Time.- Stochastic Integrals and Differential Equations.- Black-Scholes Option Pricing Model.- Binomial Model for European Options.- American Options.- Exotic Options and Interest Rate Derivatives. Statistical Model of Financial Time Series: Introduction: Definitions and Concepts.- ARMA Time Series Models.- Time Series with Stochastic Volatility.- Nonparametric Concepts for Financial Time Series. Selected Financial Applications: Valuing Options with Flexible Volatility Estimators.- Value-at-Risk and Backtesting.- Copulas and Value-at Risk.- Statistics of Extreme Risks.- Neural Networks.- Volatility Risk of Portfolios.- Nonparametric Estimators for the Probability of Defaulting.