Derivatives and Internal Models

PART I: FUNDAMENTALS Introduction Legal Framework Fundamental Risk Factors of Financial Markets Financial Instruments - A System of Derivatives and Underlyings PART II: METHODS Overview of the Assumptions for Different Valuation Methods Present Value Methods, Yields and Traditional Risk Measures Arbitrage The Black-Scholes Differential Equation Integral Forms and Analytic Solutions in the Black-Scholes World Numerical Solutions of Differential Equations using Finite Differences Binomial and Trinomial Trees Monte-Carlo Simulations Hedging Martingale and Numeraire Interest Rates and Term Structure Models PART III: INSTRUMENTS Spot Transactions on Interest Instruments Forward Transactions on Interest Rates Plain Vanilla Options Exotic Options Structured Products and Stripping PART IV: RISK Fundamentals The Variance-Covariance Method Simulation Methods Interest Rate Risk and Cash Flows Example VaR-Computation Backtesting: Checking the Applied Methods Risk Adjusted Return and Portfolio Theory PART V: MARKET DATA Interest Rate Term Structures Volatility Market Parameter from Historical Time Series Time Series Modelling Forecasting with Time Series Models Principle Component Analysis Pre-Treatment of Time Series and Assesment of Models Probabiltiy and Statistics