This paper uses Bayesian estimation techniques to uncover the central bank preferences of the big …ve Latin American in ‡ation targeting countries: Brazil, Chile, Colombia, Mexico, and Peru. The target weights of each central bank's loss function are estimated using a medium-scale small open economy New Keynesian model with incomplete international asset markets and imperfect exchange-rate pass-through. Our results suggest that all central banks in the region place a high priority on stabilizing in ‡ation and interest rate smoothing. While stabilizing the real exchange rate is a concern for all countries except Brazil, only Mexico is found to assign considerable weight to reducing real exchange rate ‡uctuations. Overall, Brazil, Colombia, and Peru show evidence of implementing a strict in ‡ation targeting policy, whereas Chile and Mexico follow a more ‡exible policy by placing a sizeable weight to output gap stabilization. Finally, the posterior distributions for the central bank preference parameters are found to be strikingly di¤erent under complete asset markets. This highlights the sensitivity of Bayesian estimation, particularly when uncovering central bank preferences, to alternative international asset market structures.