Tax smoothing in a business cycle model with capital-skill complementarity

This paper undertakes a normative investigation of the quantitative properties of optimal tax smoothing in a business cycle model with state contingent debt, capital-skill complementarity, endogenous skill formation and stochastic shocks to public consumption as well as total factor and capital equipment productivity. Our main finding is that an empirically relevant restriction which does not allow the relative supply of skilled labour to adjust in response to aggregate shocks, signi cantly changes the cyclical properties of optimal labour taxes. Under a restricted relative skill supply, the government fi nds it optimal to adjust labour income tax rates so that the average net returns to skilled and unskilled labour hours exhibit the same dynamic behaviour as under fl exible skill supply.

Unemployment and Endogenous Reallocation over the Business Cycle

This paper studies unemployed workers’ decisions to change occupations, and their impact on fluctuations in aggregate unemployment and its underlying duration distribution. We develop an analytically and computationally tractable stochastic equilibrium model with heterogenous labor markets. In this model three different types of unemployment arise: search, rest and reallocation unemployment. We document new evidence on unemployed workers’ gross occupational mobility and use it to calibrate the model. We show that rest unemployment is the main driver of unemployment fluctuations over the business cycle and causes cyclical unemployment to be highly volatile. The resulting unemployment duration distribution generated by the model responds realistically to the business cycle, creating substantial longer-term unemployment in downturns. Finally, rest unemployment also makes our model simultaneously consistent with procyclical occupational mobility of the unemployed, countercyclical job separations into unemployment and a negatively-sloped Beveridge curve.