Standard heterogeneous agent macro models that highlight idiosyncratic productivity shocks do not generate the near zero cross-sectional correlation between hours and wages found in the data. We ask whether matching this moment matters for business cycle properties of these models. To do this we...

We introduce worker differences in labor supply, reflecting differences in skills and assets, into a model of separations, matching, and unemployment over the business cycle. Separating from employment when unemployment duration is long is particularly costly for workers with high labor supply....