During the past two decades, world's economies have been characterized by stability on inflation and product levels. However, increases in financial instability are becoming a reason for concern to central banks. In this sense, the aim of this study is to analyze empirically possible relations between the Brazilian monetary policy and changes on asset prices, specifically the nominal exchange rate and the Bovespa index. The results for the sample between January, 2000 and January, 2006 suggest that the non-linear model, based on a Threshold Autoregressive model, fits better into Brazilian data than the linear model and find evidence that changes on nominal exchange rates and movements on Selic rate are associated during difficult times of the Brazilian economy, which are related to higher financial volatility.