The uncertainty regarding inflation that is observed in density forecasts of households and professionals helps macroeconomists understand the formation mechanism of inflation expectations. Shocks to inflation take time to be perceived by all agents in the economy, and such rigidity is lower in a high-inflation environment.
Perceived income risks reported in a survey of consumer expectations are more heterogeneous and, on average, lower than indirectly calibrated risks based on panel data. They prove to be one explanation for why a large fraction of households hold very little liquid savings and why accumulated wealth is widely unequal across households.