Some 30 years ago Thomas Sargent and Neil Wallace published an article [1] that raised the possibility of tight monetary policy leading to inflation. Salvatore Rossi and I showed that this result was due to a questionably formulated public budget constraint in their model [2] and basically salvaged the traditional result that it is loose monetary policy that leads to inflation.
The link between that old story and Quantitative Easing is that there is something unpleasant about Quantitative Easing arithmetic, at least for those market observers that, with some justification, interpret recent ECB message as pre-announcement of some exercise of this sort.