This paper considers propagation of aggregate shocks in a dynamic general-equilibrium model with labor-market matching and endogenous job destruction. Cyclical fluctuations in the job-destruction rate magnify the output effects of shocks, as well as making them much more persistent. Interactions between capital adjustment and the job-destruction rate play an important role in generating persistence. Propagation effects are shown to be quantitatively substantial when the model is calibrated using job-flow data. Incorporating costly capital adjustment leads to significantly greater propagation. (JEL E24, E32).