Monetary Policy and Inequality under Labor Market Frictions and Capital-Skill Complementarity

We provide a new channel through which monetary policy has distributional consequences at business cycle frequencies. We show that an unexpected monetary easing increases labor income inequality between high and less-skilled workers. In particular, this effect is prominent in sectors intensive in less-skilled labor, that exhibit high degree of capital-skill complementarity (CSC) and are subject to matching inefficiencies. To rationalize these findings we build a New Keynesian DSGE model with asymmetric search and matching (SAM) frictions across the two types of workers and CSC in the production function. We show that CSC on its own introduces a dynamic demand amplification mechanism: the increase in high-skilled employment after a monetary expansion makes complementary capital more productive, encouraging a further rise in investment demand and creating a multiplier effect. SAM asymmetries magnify this channel.