In this article I augment the standard open economy Real Business Cycle (RBC) model with stochastic remittance shocks. The model was calibrated to match broad, stylized facts common across a large set of remittance recipient countries. The calibration exercise reveals that output does not respond as much to remittance shocks relative to technology shocks. The model predicts that temporary inflows of worker remittances positively affect GDP per capita while a permanent increase of remittances does not. Cross country econometric evidence is consistent with the theory: there is a significant and positive correlation between the temporary component of remittances and growth; and permanent component of remittances do not affect output growth.