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This paper illustrates how households' heterogeneity is crucial for the propagation of uncertainty shocks. We empirically show that an uncertainty shock generates a drop in aggregate consumption, job finding rate, and inflation: the aggregate consumption response is mainly driven by the consumption response of the bottom 60% of the income distribution. A New Keynesian model with uninsurable unemployment risk rationalizes our findings. Uncertainty shocks induce households' precautionary saving and firms' precautionary pricing behaviors, triggering a fall in aggregate demand and supply. The two precautionary behaviors increase the unemployment risk of the imperfectly insured, who strengthen their precautionary saving behavior. When the feedback loop between unemployment risk and precautionary saving is strong enough, a rise in uncertainty leads to a decrease in inflation. Contrary to standard representative agent New Keynesian models, our model qualitatively and quantitatively matches the empirical evidence on uncertainty shock propagation.
