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-skilled and less-skilled workers. To rationalize these findings, we build a New Keynesian DSGE model with asymmetric search-and-matching (SAM) frictions and capital-skill complementarity (CSC) in production. 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. (JEL E32, E52, E24, E12, E25, J63)