This paper identifies a new sufficient condition for a prudent agent to have positive precautionary saving in the presence of labor income and interest rate risks of any size. We also provide three economic interpretations for this condition focusing respectively on the marginal effect of saving...

This paper studies precautionary saving when many small risks are considered. We first introduce two simultaneous risks: labor income and interest rate risks. We show that, in this context, sufficient conditions for precautionary saving are weaker than in similar models. Moreover, we find that,...