Real wages are a key determinant of marginal costs. The latter themselves are a driving force of inflation. We ask how wages and labor market shocks feed into the inflation process. We model search and matching frictions in the labour market in an otherwise standard New-Keynesian closed economy DSGE model. We estimate the model using Bayesian techniques for German data from the mid 70s to present. In our framework, we find that labor market structure is important for the evolution of the business cycle, and for monetary policy in particular. Yet labor market shocks are not important information for the conduct of stabilization policy.