This paper estimates empirical Taylor rules to analyze the recent monetary policy of the five main Latin American inflation-targeting central banks. We find that during the inflationary surge of 2021?23, monetary policy reacted more strongly and more quickly to changes in inflation than predicted by a standard linear Taylor rule, estimated on data from the pre-pandemic period. Although this appears to represent a shift in the monetary reaction function, we think it more likely that Latin American central banks have been following a non-linear strategy, responding more aggressively to inflation, the higher it rose. We confirmed this by adding the square of inflation to the Taylor rule model: its coefficient was positive and significant, indicating that policy interest rates exhibited a non-linear response to inflation, even during the pre-pandemic period, and the model did a better job of predicting the sharp rise in interest rates during 2021?23.