Conventional wisdom states that the statutory split of payroll taxa- tion between firms and workers is of no macroeconomic relevance, because the tax incidence is fully determined by the market structure. This pa- per breaks with this view by establishing a theoretical link between the statutory split and the average volatility of prices and wages. It is shown that shifting taxation towards workers significantly reduces the volatility in nominal variables without entailing long-run redistribution. The gain in stability of prices and wages reduces ineficiencies in the equilibrium allocation of the stochastic model and thereby reduces welfare costs of business cycle fructuations. In a standard DSGE model, welfare costs un- der the full taxati...