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Since the early 1990s many empirical studies have been conducted on the impact of international migration on international trade, predominantly from the host country perspective. Because most studies have adopted broadly the same specification, namely a log-linear gravity model of export and import flows augmented with the logarithm of the stock of immigrants from specific source countries as an additional explanatory variable, the resulting elasticities are broadly comparable and yield a set of estimates that is well suited to meta-analysis. We therefore compile and analyze in this paper the distribution of immigration elasticities of imports and exports across 48 studies that yielded 300 observations. The results show that immigration complements rather than substitutes for trade flows between host and origin countries. Correcting for heterogeneity and publication bias, an increase in the number of immigrants by 10 percent may be expected to increase the volume of trade on average by about 1.5 percent. However, the impact is lower for trade in homogeneous goods. Over time, the growing stock of immigrants decreases the elasticities. The estimates are affected by the choice of some covariates, the nature of the data (cross-section or panel) and the estimation technique. Elasticities vary between countries in ways that cannot be fully explained by study characteristics; trade restrictions and immigration policies matter for the impact of immigration on trade. The migrant elasticity of imports is larger than that of exports in about half the countries considered, but the publication bias and heterogeneity-corrected elasticity is slightly larger for exports than for imports.

Due to the growth in international migration in recent decades, the workforce of firms in host countries has become considerably more diverse, both demographically and culturally. It is an important question for firms and for governments to ask whether there are some productivity-enhancing externalities gained from this growing diversity within firms. In recent years migration research has demonstrated positive economic impacts of cultural diversity on productivity and innovation at the regional level. However, there is a dearth of research on the links between innovation and migrant diversity at the firm level. In this paper we construct and analyse a unique linked employer-employee micro-dataset of 4582 firms, based on survey and administrative data obtained from Statistics Netherlands. Excluding firms in the hospitality industry and other industries that employ low-skilled migrants, we use the local number of restaurants with foreign cuisines and the historical presence of migrant communities as valid instruments of endogenous migrant settlement. We find that firms in which foreigners account for a relatively large share of employment are somewhat less innovative. However, there is strong evidence that firms that employ a more diverse foreign workforce are more innovative, particularly in terms of product innovations.