We analytically characterize optimal monetary policy for a New Keynesian model with a housing sector. If one supposes that the private sector has rational expectations about future housing prices and inflation, optimal monetary policy can be characterized without making reference to housing...

We analytically characterize optimal monetary policy for an augmented New Keynesian model with a housing sector. With rational private sector expectations about housing prices and inflation, optimal monetary policy can be characterized by a standard “target criterion” in terms of inflation...