We document four features of consumption and income microdata: (1) householdlevel consumption is as volatile as household income on average, (2) householdlevel consumption has a positive but small correlation with income, (3) many low-wealth households have marginal propensities to consume near zero, and (4) lagged high expenditure is associated with low contemporaneous spending propensities. Our interpretation is that household expenditure depends on timevarying consumption thresholds where marginal utility discontinuously increases. Our model with consumption thresholds matches the four facts better than does a standard model. Poor households in our model also exhibit "excess sensitivity" to anticipated income declines.