Following Giraitis, Kapetanios, and Yates (2014b), this paper uses kernel methods to estimate a seven variable time-varying (TV) vector autoregressive (VAR) model on the data set constructed by Smets and Wouters (2007). We apply an indirect inference method to map from this TV VAR to time variation in implied Dynamic Stochastic General Equilibrium (DSGE) parameters. We find that many parameters change substantially, particularly those defining nominal rigidities, habits and investment adjustment costs. In contrast to the 'Great Moderation' literature our monetary policy parameter estimates suggest that authorities tried to deliver a low and stable inflation from 1975 onwards, however, the severe adverse supply shocks in the 70s could have caused these policies to fail.Keywords: DSGE, structural change, kernel estimation, time-varying VAR, monetary policy shocks JEL classification: E52, E61, E66, C14, C18 * The views expressed in this paper are those of the authors, and not necessarily those of the Bank of England or those of the Monetary or Financial Policy Committees. The authors wish to thank Andy Blake, Fabio Canova, Efrem Castelnuevo, Domenico Giannone, Alesandro Justiniano, Lutz Kilian, Matthias Paustian, Giorgio Primiceri, Juan RubioRamirez, Frank Schorfheide and Frank Smets, plus two anonymous referees for very helpful suggestions and comments. We also thank participants in presentations at the Bank of England, the Ghent workshop on empirical macro in May 2012, and the NBER workshop on methods and applications for DSGE models at the FRB Atlanta, October 2012. †