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Nested models and model uncertainty

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  • Alexander Kriwoluzky
  • Christian A. Stoltenberg

Abstract

Uncertainty about the appropriate choice among nested models is a central concern for optimal policy when policy prescriptions from those models differ. The standard procedure is to specify a prior over the parameter space ignoring the special status of some sub-models, e.g. those resulting from zero restrictions. This is especially problematic if a model's generalization could be either true progress or the latest fad found to fit the data. We propose a procedure that ensures that the specified set of sub-models is not discarded too easily and thus receives no weight in determining optimal policy. We find that optimal policy based on our procedure leads to substantial welfare gains compared to the standard practice.

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Bibliographic Info

Paper provided by European University Institute in its series Economics Working Papers with number ECO2009/37.

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Date of creation: 2009
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Handle: RePEc:eui:euiwps:eco2009/37

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Keywords: Optimal monetary policy; model uncertainty; Bayesian model estimation;

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  1. Thomas A. Lubik & Frank Schorfheide, 2004. "Testing for Indeterminacy: An Application to U.S. Monetary Policy," American Economic Review, American Economic Association, vol. 94(1), pages 190-217, March.
  2. Andrew T. Levin & Alexei Onatski & John C. Williams & Noah Williams, 2005. "Monetary policy under uncertainty in micro-founded macroeconometric models," Working Paper Series 2005-15, Federal Reserve Bank of San Francisco.
  3. Adolfson, Malin & Laseén, Stefan & Lindé, Jesper & Svensson, Lars E.O., 2008. "Optimal Monetary Policy in an Operational Medium-Sized DSGE Model," Working Paper Series 225, Sveriges Riksbank (Central Bank of Sweden).
  4. Christiano, Lawrence J. & Trabandt, Mathias & Walentin, Karl, 2007. "Introducing Financial Frictions and Unemployment into a Small Open Economy Model," Working Paper Series 214, Sveriges Riksbank (Central Bank of Sweden), revised 01 Jun 2011.
  5. Marco Del Negro & Frank Schorfheide, 2008. "Forming priors for DSGE models (and how it affects the assessment of nominal rigidities)," Staff Reports 320, Federal Reserve Bank of New York.
  6. Marco Del Negro & Frank Schorfheide, 2007. "Monetary Policy Analysis with Potentially Misspecified Models," NBER Working Papers 13099, National Bureau of Economic Research, Inc.
  7. Smets, Frank & Wouters, Rafael, 2007. "Shocks and Frictions in US Business Cycles: A Bayesian DSGE Approach," CEPR Discussion Papers 6112, C.E.P.R. Discussion Papers.
  8. Fabio Canova, 2007. "Bayesian Analysis of DSGE Models by S. An and F. Schorfheide," Econometric Reviews, Taylor & Francis Journals, vol. 26(2-4), pages 187-192.
  9. Fagan, Gabriel & Henry, Jérôme & Mestre, Ricardo, 2001. "An area-wide model (AWM) for the euro area," Working Paper Series 0042, European Central Bank.
  10. Robert E. Lucas Jr., 2003. "Macroeconomic Priorities," American Economic Review, American Economic Association, vol. 93(1), pages 1-14, March.
  11. Poirier, Dale J., 1998. "Revising Beliefs In Nonidentified Models," Econometric Theory, Cambridge University Press, vol. 14(04), pages 483-509, August.
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