The importance of firing costs and the Hosios condition in search models with endogenous job destruction

We construct a DSGE search model with endogenous job destruction, incorporating wage rigidities, firing costs and unemployment benefit. We investigate the most important factors in matching the model's cyclical properties with empirical data, particularly those of job creation rates (JCR) and job destruction rates (JDR). Firing costs assist significantly in explaining the procyclicality of JCR, the negative correlation of JCR and JDR, and the persistence of vacancies. They also decrease the counter-cyclicality of job turnover. We also postulate that the Hosios condition helps explain the negative correlation of JCR and JDR and vacancies' persistence. Varying wage rigidities and unemployment income, however, do not improve the results.