We develop a set of necessary and sufficient conditions for equilibria to be determinate in a class of forward-looking Markov-switching rational expectations models and we develop an algorithm to check these conditions in practice. We use three examples, based on the new-Keynesian model of...

The unpleasant monetarist arithmetic of Sargent and Wallace (1981) states that in a fiscally dominant regime tighter money now can cause higher inflation in the future. In spite of the qualifier ‘unpleasant,' this result is positive in nature, and, therefore, void of normative content. I...

Today, all major central banks pay or collect interest on reserves, and stand ready to use the interest rate as an instrument of monetary policy. We show that by paying an appropriate rate on reserves, the central bank can pin the price level uniquely to a target. The essential idea is to index...

More than fifty years ago, Friedman and Schwartz examined historical data for the United States and found evidence of pro-cyclical movements in the money stock, which led corresponding movements in output. We find similar correlations in more recent data; these appear most clearly when Divisia...

Discussions of monetary policy rules after the 2007-2009 recession highlight the potential ineffectiveness of a central bank's actions when the short-term interest rate under its control is limited by the zero lower bound. This perspective assumes, in a manner consistent with the canonical New...

Since 2008, the central banks of advanced countries have borrowed trillions of dollars from their commercial banks in the form of interest-paying reserves and invested the proceeds in portfolios of risky assets. We investigate how this new style of central banking affects central banks'...

This paper studies a New-Keynesian model in which monetary policy may switch between regimes. We derive sufficient conditions for indeterminacy that are easy to implement and we show that the necessary and sufficient condition for determinacy, provided by Davig and Leeper, is necessary but not...

This paper is about the properties of Markov switching rational expectations (MSRE) models. We present a simple monetary policy model that switches between two regimes with known transition probabilities. The first regime, treated in isolation, has a unique determinate rational expectations...