This paper assesses and compares the effects of monetary policy shocks across Latin American countries that put in practice the Inflation Targeting scheme (Brazil, Chile, Colombia, Mexico and Peru). An estimated Hierarchical Panel VAR allows us to use the data efficiently and, at the same time, exploit the heterogeneity across countries. Monetary shocks are identified through an agnostic procedure that imposes zero and sign restrictions. We find a real short run effect of monetary policy on output (with a peak around 12-15 months); a significant medium run response of prices with the absence of the so-called price puzzle and a hump-shaped response of the exchange rate, i.e. weak evidence of the so-called delayed overshooting puzzle phenomenon. Nevertheless, we find some degree of heterogeneity on the impact and propagation of monetary shocks across countries. In particular, we find stronger effects on output and prices in Brazil and Peru relative to Chile, Colombia and Mexico and a stronger reaction of the exchange rate in Brazil, Chile and Colombia relative to Mexico and Peru. Finally, we present a weighted-averaged impulse response after a monetary shock, which is representative for the region.