Business cycles and on the job search

We study steady state and business cycle properties of a model with heterogeneous firms and on-the-job search in the spirit of Moscarini and Postel-Vinay (2012). We extend the setup by including capital in the production function and show how this change influences model properties. The model is solved using a novel numerical method, projection within perturbation, which uses Chebyshev polynomial approximation and Clenshaw-Curtis quadrature for dealing with heterogeneity. We analyze worker flows between firms, distribution of firm size and wages, and study how productivity and other shocks affect them. When we introduce a working capital channel into the model we find that costly borrowing that finances firms’ wage and vacancy bill shifts the distribution of firms to the right.