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 …

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 highlight important and specific characteristics of default risk and methodological implications. In a simulation … risk in conventional portfolio models of default …

We merge the literature on downside return risk and liquidity risk and introduce the concept of extreme downside … same time when the market liquidity (return) is lowest. This effect is not driven by linear or downside liquidity risk or … extreme downside return risk and is mainly driven by more recent years. There is no premium for stocks whose liquidity is …