A simple economics of crime model, when dovetailed with facts about the relative labour market position of these migrant groups, suggests net returns to criminal activity are likely to be very different for the two waves. In fact, we show that the first wave led to a small rise in property crime, whilst the second wave had no such impact. There was no observable effect on violent crime for either wave. Nor were immigrant arrest rates different to natives. Evidence from victimization data also suggests that the changes in crime rates during the immigrant waves cannot be ascribed to crimes against immigrants. Overall, our findings suggest that focusing on the limited labour market opportunities of asylum seekers could have beneficial effects on crime rates.