We analyze the impact of bank internationalization on domestic market power (Lerner index) and risk for German banks. Risk is measured by the official declaration of regulatory authorities that a bank is distressed. We distinguish the volume of foreign assets, the number of foreign countries, and different modes of foreign entry. Our analysis has three main results. First, higher market power is associated with lower risk. Second, holding assets in many countries reduce market power at home, but banks with a higher share of foreign assets exhibit higher market power. Third, bank internationalization is only weakly related to bank risk.

Differences in firm-level productivity explain international activities of non-financial firms quite well. We test whether differences in bank productivity determine international activities of banks. Based on a dataset that allows tracking banks across countries and across different modes of foreign entry, we model the ordered probability of maintaining a commercial presence abroad and the volume of banks’ international assets empirically. Our research has three main findings. First, more productive banks are more likely to enter foreign markets in increasingly complex modes. Second, more productive banks also hold larger volumes of foreign assets. Third, higher risk aversion renders entry less likely, but it increases the volume of foreign activities conditional upon entry.