We estimate that over a typical U.S. monetary easing cycle, EME [emerging economy] borrowers experience a 32-percentage-point greater increase in the volume of loans issued by foreign banks than do borrowers from developed markets, followed by a fast credit contraction of a similar magnitude upon reversal of the U.S. monetary policy stance.

And this:

This result is robust across different geographies and industries, and holds for U.S. and non-U.S. lenders, including those with little direct exposure to the U.S. economy. EME local lenders do not offset the foreign bank capital flows, and U.S. monetary policy affects credit conditions for EME firms, both at the extensive and intensive margin. Consistent with a risk-driven credit-supply adjustment, we show that the spillover is stronger for riskier EMEs, and, within countries, for higher-risk firms.

That is from a new NBER working paper by Falk Bräuning and Victoria Ivashina.