Option Pricing: Derivaties.- 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.