Momentum is one of the largest and most pervasive market anomalies. However, despite a high mean and Sharpe ratio, momentum suffers from large negative skewness that comes from momentum crash periods. These crashes occur in times of both market stress and market rebound and thus variables that...

We provide empirical evidence that the returns on US equity momentum exhibit a time-varying skewness which deepens during dramatic losses (crashes). As a result, the dynamics of the strategy expected returns reflects the time variation in both conditional volatility and skewness. This has first...

We consider dynamic sublinear expectations (i.e., time-consistent coherent risk measures) whose scenario sets consist of singular measures corresponding to a general form of volatility uncertainty. We derive a càdlàg nonlinear martingale which is also the value process of a superhedging...

We re-examine the literatures' disparate conclusions that stock returns are more (less) volatile over longer investment horizons. We claim that the commonly employed variance ratio is not capable of exclusively determining whether investment risk increases with investment horizons. We...

Pooled annuity products, where the participants share systematic and idiosyncratic mortality risks as well as investment returns and risk, provide an attractive and effective alternative to traditional guaranteed life annuity products. While longevity risk sharing in pooled annuities has...

To many people, the terror of falling share prices is often significant, often more so than the pleasure of gains. Accordingly, investors often want to minimize downside volatility as a part of their portfolio planning. Investors already have several tools to measure downside volatility,...

We introduce a new class of momentum strategies, the risk-adjusted time series momentum (RAMOM) strategies, which are based on averages of past futures returns, normalized by their volatility. We test these strategies on a universe of 64 liquid futures contracts and show that RAMOM strategies...

A risk management strategy is proposed as being robust to the Global Financial Crisis (GFC) by selecting a Value-at-Risk (VaR) forecast that combines the forecasts of different VaR models. The robust forecast is based on the median of the point VaR forecasts of a set of conditional volatility...

We consider two forms of volatility weighting (own volatility and underlying asset volatility) applied to cross-sectional and time-series momentum strategies. We present some simple theoretical results for the Sharpe ratios of weighted strategies and show empirical results for momentum...

In this paper, we propose a stop-loss strategy to limit the downside risk of the well-known momentum strategy. At a stop-level of 10%, we find, with data from January 1926 to December 2013, that the maximum monthly losses of the equal- and value-weighted momentum strategies go down from -49.79%...