What it is about
You will learn the fundamentals of mathematical finance in discrete time: pricing and valuation of derivatives in one- and multi-period models, concepts of arbitrage and completeness, as well as basics of portfolio optimization. By the end you will be able to understand price models and implement them numerically, and analyze and optimize portfolios according to risk-return criteria.
What you will be able to do
- Understanding discrete financial market models (single- and multi-period)
- Valuation of derivative claims in one- and multi-period settings
- Implementation of numerical methods (e.g., binomial tree models) for pricing
- Knowledge of arbitrage-free and market completeness
- Application of mean-variance theory and portfolio selection
- Understanding of the Capital Asset Pricing Model (CAPM) and Arbitrage Pricing Theory
- Knowledge of important risk measures and risk-adjusted performance metrics
- Integration of expert forecasts into portfolio analysis
What the module consists of
- VorlesungVermittlung der theoretischen Grundlagen mit Folien und Beweisdarstellungen
- ÜbungBearbeitung theoretischer Aufgaben und computerorientierter Simulationen zur Vertiefung
Teaching method
- Vorlesung mit Folien und TafelbeweisenErklärung der Theorie und Herleitung wichtiger Resultate
- Theoretische Übungsaufgaben (auch Teamarbeit)Festigung des Verständnisses unter Anleitung
- Computer-orientierte Übungen (Programmierung, Simulation)Numerische Implementierung und praktische Anwendung von Modellen