Measurement of Market Risk
Introduction of the risk factors (interest-rate-discount-factors for different maturities and currencies, spreads for different maturities, currencies, ratings, industries, stock prices or indices, foreign exchange, commodity prices, etc.); Modelling and estimation of the distribution of risk factor changes: Simple approaches such as a joint normal distribution with historical estimators (moving-average estimators); Refinement of the parameter estimation for a joint normal distribution (exponentially weighted moving average EWMA, ARCH & GARCH); Short presentation of more advanced, alternative models: e.g. modelling of stochastic differential equations (SDEs) for interest rate models, including the parameter estimation for such models, and conducting a Monte Carlo simulation; Product mapping: delta approach and delta-gamma-approach; VaR-estimation: variance-covariance approach, historical simulation, Monte Carlo simulation; Back-testing of VaR-models; Stress Testing
Quantitative Asset and Risk Management (Master)
Language of instruction
After the successful completion of the course students are able to master the various different computational approaches to estimate market risk measures (historical simulation, variance-covariance approach, advanced alternative simulation approaches). Also, they are able to test the quality of already implemented risk measurement models (back-testing) and they can conduct stress tests that analyse the impact of scarce extreme events. This detailed knowledge about market risk measurement is essential for managing market risk.