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This paper examines how the preferences of a large economy’s central bank affect the trade‐off between output and inflation volatility faced by the central bank of a small open economy by analyzing the impact of a global cost‐push shock. We demonstrate that under the assumption of producer currency pricing, the trade‐off faced by the small open economy is likely to worsen as the foreign central bank becomes more focused on output stabilization relative to inflation stabilization; but the opposite is true in the case of local currency pricing.