We show that the trend of the one-sided HP filter can be asymptotically approximated by the Holt-Winters (HW) filter. The later is an elegant, moving average representation and facilitates the computation of trends tremendously. We confirm the accuracy of this approximation empirically by...

We show that the trend of the one-sided HP filter can be asymptotically approximated by the Holt-Winters (HW) filter. The later is an elegant, moving average representation and facilitates the computation of trends tremendously. We confirm the accuracy of this approximation empirically by...

This paper shows how central bank communications can play a role in macroprudential supervision. We document how specific warnings about real estate markets, published in the Central Bank of Chile's Financial Stability Reports of 2012, affected bank lending policies. We provide empirical...

This article provides several estimates for the shadow rate (SR) of the short-term interest rate in US. We assume maximal models with two and three Gaussian factors, and we use forward rates to estimate the model's parameters. Based on that, we conclude that point estimates of SR should be taken...

This paper provides several estimates of the GARCH models' parameters for the S&P500 index, based on returns and CBOE VIX. Using a daily sample collected from 2007 to 2022, we can conclude that adding the VIX information improves the estimates of the long-term volatility. By providing an...