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Title:Estimation of forward-looking relationships in closed form: An application to the new Keynesian Phillips curve PDF Logo
Authors:Barnes, Michelle L.
Gumbau-Brisa, Fabià
Lie, Denny
Olivei, Giovanni P.
Issue Date:2011
Series/Report no.:Working paper series // Federal Reserve Bank of Boston 11-3
Abstract:We illustrate the importance of placing model-consistent restrictions on expectations in the estimation of forward-looking Euler equations. In two-stage limited-information settings where first-stage estimates are used to proxy for expectations, parameter estimates can differ substantially, depending on whether these restrictions are imposed or not. This is shown in an application to the New Keynesian Phillips Curve (NKPC), first in a Monte Carlo exercise, and then on actual data. The closed-form (CF) estimates require by construction that expectations of inflation be model-consistent at all points in time, while the difference-equation (DE) estimates impose no model discipline on expectations. Between those two polar extremes there is a wide range of alternative DE specifications based on the same dynamic relationship that explicitly imposes model restrictions on expectations for a finite number of periods. In our application, these last estimates quickly converge to the CF estimates and illustrate that the DE estimates in Cogley and Sbordone (2008) are not robust to imposing modest model requirements on expectations. In particular, our estimates show that the NKPC is not purely forward-looking, and thus that time-varying trend inflation is insufficient to explain inflation persistence.
Subjects:closed form
model-consistent expectations
New Keynesian Phillips curve
forward-looking Euler equation
time-varying trend inflation
JEL:E12
E31
E52
Document Type:Working Paper
Appears in Collections:Working Paper Series, Federal Reserve Bank of Boston

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