In this thesis, we try to provide a broadeconometric analysis of a class of risk measures, distortion risk measures (DRM). With carefully selected functional form, theValue-at-Risk (VaR) and Tail-VaR (TVaR) are special cases of DRMs. Besides, the DRM also admits interpretation in the sense...

The S&P 500 Index is a leading indicator of U.S. equities and is meant to reflect the risk and return on the U.S. stock market. Many derivatives based on the S&P 500 are available to investors. The S&P 500 Futures of the Chicago Mercantile Exchange and the S&P 500 Index Options of the Chicago...

We propose a new method of tail analysis for data featuring a high degree of leptokurtosis. Heavy tails can typically be found in financial series, like for example, the stock returns or durations between arrivals of trades. In our framework, the shape of tails can be assessed by fitting some...