One of the leading methods of estimating the structural parameters of DSGE models is the VAR-based impulse response … response parameters exceeds the number of VAR model parameters. Situations in which this order condition is violated arise …

Out-of-sample forecasting tests of DSGE models against time-series benchmarks such as an unrestricted VAR are … improve forecasts from an unrestricted VAR. In testing forecasting capacity they also have quite weak power, particularly on … improve on VAR forecasts. …