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We examine the dynamics of U.S. output and inflation using a structural time‐varying coefficients vector autoregression. There are changes in the volatility of both variables and in the persistence of inflation, but variations are statistically insignificant. Technology shocks explain changes in output volatility; real demand disturbances variations in the persistence and volatility of inflation. We detect important time variations in the transmission of technology shocks to output and demand shocks to inflation and significant changes in the variance of technology and of monetary policy shocks.