quantile and expectile estimation, a platform for risk assessment is provided. ES and implications for tail events under … different distributional scenarios are investigated, particularly we discuss the implications of increased tail risk for mixture … can be successfully estimated on a daily basis using a one-year time horizon across different risk levels. …

Monetary risk measures classify a financial position by the minimal amount of external capital that must be added to … the position to make it acceptable.We propose a new concept: intrinsic risk measures. The definition via external capital … is avoided and only internal resources appear. An intrinsic risk measure is defined by the smallest percentage of the …

-modellable risk factors (NMRF) as foreseen under the Basel Fundamental Review of the Trading Book (FRTB) rules for market risk. In … this paper, we present the foundations of such a methodology. By design, it is universally applicable to all kinds of risk … universe of real historical returns from all asset classes. Finally, we extend the methodology from single risk factors to …

This paper investigates whether multivariate crash risk is priced in the cross- section of expected stock returns …. Motivated by a theoretical asset pricing model, we capture the multivariate crash risk of a stock by a combined measure based on …. We find that stocks with a high exposure to joint crashes of the market and the momentum factor bear a risk premium which …

This paper investigates whether multivariate crash risk (MCRASH), defined as exposure to extreme realizations of … returns than stocks with low MCRASH. The premium is not explained by linear factor exposures, alternative downside risk … measures or stock characteristics. Extending market-based definitions of crash risk to other well-established factors helps to …

We introduce a class of quantile-based risk measures that generalize Value at Risk (VaR) and, likewise Expected … probability of occurrence. The corresponding risk measure, called Loss VaR (LVaR), determines the minimal capital injection that … and applications to capital adequacy, portfolio risk management and catastrophic risk are presented …

financial returns data and is used for the univariate fits, but its convolutions, necessary for portfolio risk calculations, are … computationally cheap and extremely accurate - most notably in the tail, which is crucial for risk calculations. A simulation study …