“…As in Houston, Lin, and Ma (2012), we use the dataset from Barth, Caprio and Levine (2013) to proxy for the intensity of bank supervision and restrictions on non-core bank activities. Adopting the empirical strategy of Cerutti and Zhou (2018), which builds on Helpman, Melitz and Rubinstein (2008) and Fillat et al (2018), we use a gravity equation derived from a model of heterogeneous banks extending international lending, in order to capture banks' selection into cross-border lending based on productivity differentials. This framework deals with empty bilateral banking relationships, particularly present in the case of banking exposure through local affiliates, that may introduce selection bias when estimated using conventional techniques such as ordinary least squares on a log-linear gravity equation of crossborder banking flows.…”