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Published online by Cambridge University Press:  30 August 2012

Davide Debortoli
University of California San Diego
Junior Maih
International Monetary Fund
Ricardo Nunes*
Board of Governors of the Federal Reserve System
Address correspondence to: Ricardo Nunes, Board of Governors of the Federal Reserve System, 20th Street and Constitution Avenue NW, Washington, DC 20551, USA; e-mail:


This paper proposes a method and a toolkit for solving optimal policy with imperfect commitment. As opposed to the existing literature, our method can be employed in the medium- and large-scale models typically used in monetary policy. We apply our method to the Smets and Wouters model [American Economic Review 97(3), 586–606 (2007)], for which we show that imperfect commitment has relevant implications for interest rate setting, the sources of business cycle fluctuations, and welfare.

Copyright © Cambridge University Press 2012 

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Backus, D. and Driffill, J. (1985) Inflation and reputation. American Economic Review 75 (3), 530538.Google Scholar
Benigno, P. and Woodford, M. (2005) Inflation stabilization and welfare: The case of a distorted steady state. Journal of the European Economic Association 3 (6), 11851236.CrossRefGoogle Scholar
Benigno, P. and Woodford, M. (2006) Linear–Quadratic Approximation of Optimal Policy Problems. NBER working paper 12672.CrossRefGoogle Scholar
Berger, H. and Woitek, U. (2005) Does conservatism matter? A time-series approach to central bank behaviour. Economic Journal 115 (505), 745766.CrossRefGoogle Scholar
Blake, A.P. and Kirsanova, T. (2010) Discretionary Policy and Multiple Equilibria in LQ RE Models. Manuscript, University of Exeter.CrossRefGoogle Scholar
Blanchard, O.J. and Kahn, C.M. (1980) The solution of linear difference models under rational expectations. Econometrica 48 (5), 13051311.CrossRefGoogle Scholar
Chappell, H., Havrilesky, T., and McGregor, R. (1993) Partisan monetary policies: Presidential influence through the power of appointment. Quarterly Journal of Economics 108 (1), 185218.CrossRefGoogle Scholar
Chari, V.V. and Kehoe, P.J. (1990) Sustainable plans. Journal of Political Economy 98 (4), 783802.CrossRefGoogle Scholar
Collard, F. and Juillard, M. (2001) A higher-order Taylor expansion approach to simulation of stochastic forward-looking models with an application to a nonlinear Phillips curve model. Computational Economics 17 (2–3), 125139.CrossRefGoogle Scholar
Currie, D. and Levine, P. (1993) Rules, Reputation and Macroeconomic Policy Coordination. Cambridge, UK: Cambridge University Press.CrossRefGoogle Scholar
Debortoli, D. and Nunes, R. (2006) On Linear–Quadratic Approximations. Manuscript, Universitat Pompeu Fabra.CrossRefGoogle Scholar
Debortoli, D. and Nunes, R. (2010) Fiscal policy under loose commitment. Journal of Economic Theory 145 (3), 10051032.CrossRefGoogle Scholar
Debortoli, D. and Nunes, R. (2011) Monetary Regime Switches and Unstable Objectives. International finance discussion paper 1036.CrossRefGoogle Scholar
Dennis, R. (2004) Inferring policy objectives from economic outcomes. Oxford Bulletin of Economics and Statistics 66 (1), 735764.CrossRefGoogle Scholar
Dennis, R. (2007) Optimal policy in rational expectations models: New solution algorithms. Macroeconomic Dynamics 11 (1), 3155.CrossRefGoogle Scholar
Dennis, R. and Kirsanova, T. (2010) Expectations Traps and Coordination Failures: Selecting among Multiple Discretionary Equilibria. Working paper 2010-02, Federal Reserve Bank of San Francisco.CrossRefGoogle Scholar
Evans, G.W. and Honkapohja, S. (2003) Expectations and the stability problem for optimal monetary policies. Review of Economic Studies 70 (4), 807824.CrossRefGoogle Scholar
Galí, J. (2008) Monetary Policy, Inflation, and the Business Cycle: An Introduction to the New Keynesian Framework. Princeton, NJ: Princeton University Press.Google Scholar
Giannoni, M. and Woodford, M. (2010) Optimal Target Criteria for Stabilization Policy. NBER working paper 15757.CrossRefGoogle Scholar
Himmels, C. and Kirsanova, T. (2011) Expectations Traps and Monetary Policy with Limited Commitment. Manuscript, University of Exeter.Google Scholar
Ilbas, Pelin (2012). Revealing the preferences of the US Federal Reserve. Journal of Applied Econometrics 27 (3), 440473.CrossRefGoogle Scholar
Jensen, H. (2002) Targeting nominal income growth or inflation? American Economic Review 92 (4), 928956.CrossRefGoogle Scholar
Kehoe, T.J. and Levine, D.K. (1993) Debt-constrained asset markets. Review of Economic Studies 60 (4), 865–88.CrossRefGoogle Scholar
Klein, P. (2000) Using the generalized Schur form to solve a multivariate linear rational expectations model. Journal of Economic Dynamics and Control 24 (10), 14051423.CrossRefGoogle Scholar
Kydland, F.E. and Prescott, E.C. (1977) Rules rather than discretion: The inconsistency of optimal plans. Journal of Political Economy 85 (3), 473491.CrossRefGoogle Scholar
Kydland, F.E. and Prescott, E.C. (1980) Dynamic optimal taxation, rational expectations and optimal control. Journal of Economic Dynamics and Control 2 (1), 7991.CrossRefGoogle Scholar
Levin, A., Onatski, A., Williams, J., and Williams, N. (2005) Monetary policy under uncertainty in micro-founded macroeconometric models. In Gertler, M. and Rogoff, K. (eds.), NBER Macroeconomics Annual 2005, Vol. 20, pp. 229312. Cambridge, MA: MIT Press.Google Scholar
Levine, P., McAdam, P., and Pearlman, J. (2008a) Quantifying and sustaining welfare gains from monetary commitment. Journal of Monetary Economics 55 (7), 12531276.CrossRefGoogle Scholar
Levine, P., Pearlman, J., and Pierse, R. (2008b) Linear–quadratic approximation, external habit and targeting rules. Journal of Economic Dynamics and Control 32 (10), 33153349.CrossRefGoogle Scholar
Ljungqvist, L. and Sargent, T.J. (2004) Recursive Macroeconomic Theory. Cambridge, MA: MIT Press.Google Scholar
Marcet, A. and Marimon, R. (2009) Recursive Contracts. Working paper, Universitat Pompeu Fabra.Google Scholar
Norges Bank (2011) Norges Bank Monetary Policy Report 1–46. June. Available at Scholar
Roberds, W. (1987) Models of policy under stochastic replanning. International Economic Review 28 (3), 731755.CrossRefGoogle Scholar
Rogoff, K. (1985) The optimal degree of commitment to an intermediate monetary target. Quarterly Journal of Economics 100 (4), 11691189.CrossRefGoogle Scholar
Schaumburg, E. and Tambalotti, A. (2007) An investigation of the gains from commitment in monetary policy. Journal of Monetary Economics 54 (2), 302324.CrossRefGoogle Scholar
Schmitt-Grohe, S. and Uribe, M. (2005) Optimal fiscal and monetary policy in a medium-scale macroeconomic model. In Gertler, M. and Rogoff, K. (eds.), NBER Macroeconomics Annual 2005, Vol. 20, pp. 383462. Cambridge, MA: MIT Press.Google Scholar
Sims, C. (2002) Solving linear rational expectations models. Computational Economics 20, 120.CrossRefGoogle Scholar
Sleet, C. (2001) On credible monetary policy and private government information. Journal of Economic Theory 99, 338376.CrossRefGoogle Scholar
Smets, F. and Wouters, R. (2007) Shocks and frictions in US business cycles: A Bayesian DSGE approach. American Economic Review 97 (3), 586606.CrossRefGoogle Scholar
Söderlind, P. (1999) Solution and estimation of RE macromodels with optimal policy. European Economic Review 93, 813823.CrossRefGoogle Scholar
Svensson, L.E.O. (1999) Inflation targeting as a monetary policy rule. Journal of Monetary Economics 43 (3), 607654.CrossRefGoogle Scholar
Uhlig, H. (1995) A Toolkit for Analyzing Nonlinear Dynamic Stochastic Models Easily. Institute for Empirical Macroeconomics discussion paper 101, Federal Reserve Bank of Minneapolis.CrossRefGoogle Scholar
Woodford, M. (2003a) Interest and Prices: Foundations of a Theory of Monetary Policy. Princeton, NJ: Princeton University Press.Google Scholar
Woodford, M. (2003b) Optimal interest-rate smoothing. Review of Economic Studies 70 (4), 861886.CrossRefGoogle Scholar