Dynamic General Equilibrium Models and the Beveridge-Nelson Facts

Linear and Hodrick-Prescott detrending methods do not provide a good approximation of the business cycle when output contains a unit root. I use the multivariate Beveridge-Nelson decomposition to document the main patterns of US postwar business cycles when output and some other variables are assumed to be integrated I(1) processes. I show that the business cycle identified in this way displays some important differences with those obtained from the preceding methods. I then evaluate the ability of various dynamic stochastic general equilibrium (DSGE) models to replicate the main aspects of this business cycle. Among competing models, I find that the best specification involves an economy hit simultaneously by both technological and monetary shocks, in a context of price stickiness and limited (but insufficient) accommodation by the monetary authorities. Hence, the data favor the model advocated by the New-Neoclassical Synthesis rather than its purely classical (RBC type and flexible price) counterparts.