The interconnectedness of the financial system is one of the main factors contributing to systemic risk. The financial crisis has shown how the network of intrafinancial exposures may, in times of systemic distress, amplify initially small shocks. In this work, the authors build on the DebtRank methodology by introducing the notion of a network of leverage and propose a two-round stress test exercise. In the first round, a shock hits banks’ external assets; in the second round, these initial losses reverberate in the network of interbank exposures because of the devaluation of interbank obligations. Losses in the second round result from a multiplicative effect between external and interbank leverage. The authors then apply the stress test to the largest EU banks for the years 2008–2013. They find that second-round losses are at least as large as first-round losses; neglecting these effects could therefore lead to a severe underestimation of systemic risk.