This paper aims to clarify the relationship between monetary policy shocks and wage inequality. We emphasize the relevance of within and between wage group inequalities in explaining total wage inequality in the United States. Relying on the quarterly data for the period 2000-2020, our analysis shows that racial disparities explain 12\% of observed total wage inequality. Subsequently, we examine the role of monetary policy in wage inequality. We do not find compelling evidence that shows that monetary policy plays a role in exacerbating the racial wage gap. However, there is evidence that accommodative monetary policy plays a role in magnifying between group wage inequalities but the impact occurs after 2008.