Returns on international equities are characterized by jumps; moreover, these jumps tend to occur at the same time across countries leading to systemic risk. We capture these stylized facts using a multivariate system of jump-diffusion processes where the arrival of jumps is simultaneous across assets. We then determine an investor’s opti-mal portfolio for this model of returns. Systemic risk has two effects: One, it reduces the gains from diversification and two, it penalizes investors for holding levered posi-tions. We find that the loss resulting from diminished diversification is small, while that from holding very highly levered positions is large. RETURNS ON INTERNATIONAL EQUITIES are characterized by jumps;1 moreover, these jumps ten...