This paper expands traditional stochastic volatility models by allowing for
time-varying skewness without imposing it. While dynamic asymmetry may capture
the likely direction of future asset returns, it comes at the risk of leading
to overparameterization. Our proposed approach mitigates this concern by
leveraging sparsity-inducing priors to automatically selects the skewness
parameter as being dynamic, static or zero in a data-driven framework. We
consider two empirical applications. First, in a bond yield application,
dynamic skewness captures interest rate cycles of monetary easing and
tightening being partially explained by central banks' mandates. In an currency
modeling framework, our model indicates no skewness in the carry factor after
accounting for stochastic volatility which supports the idea of carry crashes
being the result of volatility surges instead of dynamic skewness.Comment: 22 pages, 8 figure