Unemployment and Labor Productivity Co-movement: the Role of Firm Exit

The Diamond-Mortensen-Pissarides model implies a nearly perfect correlation between labor productivity and unemployment/vacancies, yet the relationship in the data is mild. We show that incorporating sunk entry costs and vacancy creation in an otherwise standard setup can reconcile the discrepancy. Sunk costs cause vacancies to be a positively valued, predetermined variable. If the destruction shock is infrequent, then most vacancies were created in the past, and hence the number of vacancies in the market correlate more closely with past than current labor productivity. Provided the destruction shock is calibrated to match either micro-level evidence on product destruction and firm exit rates or commonly used values in the growth literature, the model reproduces the empirically observed mild correlation between productivity and unemployment without breaking the strong negative co-movement between unemployment and vacancies.