We study whether households can distinguish persistent from transitory income shocks, and the implications for consumption-saving behavior. We construct a novel consumption-saving model where the household must infer the persistent component of its income process from actual income realizations...

We generalize the canonical permanent-transitory income process to allow for infrequent shocks. The distribution of income growth rates can then have a discrete mass point at zero and fat tails as observed in income data. We provide analytical formulas for the unconditional and conditional...