The long ongoing discussion about the employment impact of minimum wages was recently reinvigorated with the introduction of an economy-wide, binding minimum wage in Germany in 2015. In the traditional line of reasoning, based on the allocational approach of modern labor market economics, it has been suggested that the impact is clearly negative on the assumption of a competitive labor market and clearly positive on the assumption of a monopsonistic labor market. Unfortunately, both predictions conflict with the empirical findings, which do not show a clear-cut impact of significant size in either direction. As an alternative, a Post Keynesian two-sector model including an employment market is presented here. Its most likely prediction of a negligible employment effect and a sectoral shift is tested against the German case of an introduction of a statutory minimum wage in 2015. Despite substantial wage increases in the low wage sector, our empirical analysis reveals very low overall employment loss, amounting to about 26,500 workers, as a result of a small sectoral shift from low wage industries to higher wage industries.