We introduce firm heterogeneity into the standard monopolistically-competitive Real Business Cycle (RBC) model. The fundamental equilibrium path is derived and the time series properties of aggregate GDP are studied analytically. Although firms' productivities are subject to temporary shocks,...

We derive a method to link exactly the autocovariance functions of two arbitrary instantaneous transformations of a time series. This is useful, for example, when one wishes to describe the time-series effect of applying a nonlinear transformation to a series whose properties are known. As an...