We consider a model with on-the-job search where current wages depend only on current aggregate labor market conditions and idiosyncratic match-specific productivities. We show theoretically that the model replicates the findings in Bils (1985) and Beaudry and DiNardo (1991) on the history dependence in wages. We develop a method to measure match qualities in the data and show empirically that various variables summarizing past aggregate labor market conditions have explanatory power for current wages only because they are correlated with match qualities. They lose any predictive power once match qualities are accounted for.

Recently, a number of authors have argued that the standard search model cannot generate the observed business-cycle-frequency fluctuations in unemployment and job vacancies, given shocks of a plausible magnitude. We propose a new calibration strategy of the standard model that uses data on the cost of vacancy creation and cyclicality of wages to identify the two key parameters –- the value of nonmarket activity and the bargaining weights. Our calibration implies that the model is consistent with the data.

We identify a key role of factor supply, driven by demographic changes, in shaping several empirical regularities that are a focus of active research in macro and labor economics. In particular, demographic changes alone can account for the large movements of the return to experience over the last four decades, for the differential dynamics of the age premium across education groups emphasized by Katz and Murphy (1992), for the differential dynamics of the college premium across age groups emphasized by Card and Lemieux (2001), and for the changes in cross-sectional and cohort-based life-cycle profiles emphasized by Kambourov and Manovskii (2005).