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Janus's Money Demand and Time Inconsistency: A New Impossibility Theorem?
We derive a general “Janus” money demand function that reflects backward- and forward-looking habit formation. The scope of our model allows us to explain the breakdown of money-demand functions and reduced policy relevance of monetary aggregates. Integrating our Janus money demand into a Barro-Gordon framework reveals new insights for time inconsistency in monetary policy and a new impossibility theorem.