Conditional Skewness with Quantile Regression Models: SoFiE Presidential Address and a Tribute to Hal White

Abstract

We study a new class of conditional skewness models based on conditional quantiles regressions. The approach is much inspired by work of Hal White. To handle multiple horizons I consider quantile MIDAS regressions which amount to direct forecasting—as opposed to iterated forecasting—conditional skewness. Using this quantile-based approach I document that the conditional asymmetry of returns varies significantly over time. The asymmetry is most relevant for the characterization of downside risk. Besides empirical evidence, I also report simulation results which highlight the costs associated with mis-specifying downside risk in the presence of conditional skewness.