This paper analyses the effects of redistribution in a model of international trade with heterogeneous firms in which a fair-wage effort mechanism leads to firm-specific wage payments and involuntary unemployment. The redistribution scheme is financed by profit taxes and gives the same absolute lump-sum transfer to all workers. International trade increases aggregate income and income inequality, ceteris paribus. If, however, trade is accompanied by a suitably chosen increase in the profit tax rate, it is possible to achieve higher aggregate income and a more equal income distribution than in autarky, provided that the share of exporters is sufficiently high.