The article shows how monetary policy rules can affect inflation persistence by introducing backward-looking dynamics in the NKPC model. This new mechanism allows the traditional demand channel of monetary transmission to have a long-lasting impact on inflation dynamics. The Calvo model fails to capture this effect due to its constant hazard function. By analyzing a simple setup and a log-linearized model, the researchers found that with increasing hazard functions, the Taylor principle can ensure a stable equilibrium even with high trend inflation. The model's calibration matches changes in inflation persistence seen in post-WWII U.S. data.