We examine the connection between tail risk — as measured in Kelly and Jiang (2014) — and the cross-section of expected returns. In conditional predictive regression systems and vector-autoregressions of the market portfolio and the long- and shoresides of the Fama-French factor portfolios,...

We introduce a class of quantile-based risk measures that generalize Value at Risk (VaR) and, likewise Expected Shortfall (ES), take into account both the frequency and the severity of losses. Under VaR a single confidence level is assigned regardless of the size of potential losses. We allow...

The paper deals with maritime risk, which we consider important, no doubt, for ship-owners acting in volatile markets. Traditionally, risk is measured by "standard deviation". Other risk measures like "excess kurtosis", "excess skewness", "long-term dependence" and the "catastrophe propensity"...