Abstract
Backtesting of risk measure estimates is an integral part for an effective risk management. With the growing importance of the Expected Shortfall (ES) to potentially replace the Value at Risk (VaR) as a primary measure for market risk this also calls for suitable backtesting solutions. Although a variety of approaches has been proposed in the past, there is still an on-going discussion whether the ES can be properly backtested. The thesis adds to this discussion in the following way. Five of the most promising backtests for the ES are implemented, compared based on theoretical properties like empirical size and power and tested against ES estimation models which are fitted to historical returns of the SP backtesting; risk measures; statistical test.
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