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The Natural Rate Hypothesis and Real Determinacy

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Author Info
Alexander Meyer-Gohde

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Abstract

The uniqueness of bounded local equilibria under interest rate rules is analyzed in a model with sticky information `a la Mankiw and Reis (2002). The main results are tighter bounds on monetary policy than in sticky-price models, irrelevance of the degree of output-gap targeting for determinacy, independence of determinacy regions from parameters outside the interest-rate rule, and equivalence between real determinacy in models satisfying the natural rate hypothesis and nominal determinacy in the associated full-information, flex-price equivalent. The analysis follows from boundedness considerations on the nonautonomous recursion that describe the MA(¥) representation of variables’ reaction to endogenous fluctuations.

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Paper provided by Sonderforschungsbereich 649, Humboldt University, Berlin, Germany in its series SFB 649 Discussion Papers with number SFB649DP2008-054.

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Length: 37 pages
Date of creation: Jul 2008
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Handle: RePEc:hum:wpaper:sfb649dp2008-054

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Related research
Keywords: Nonautonomous difference equations; Indeterminacy; Taylor rule; Sticky information; Sticky prices;

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Find related papers by JEL classification:
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies
E61 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Policy Objectives; Policy Designs and Consistency; Policy Coordination

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  1. Trabandt, Mathias, 2007. "Sticky Information vs. Sticky Prices: A Horse Race in a DSGE Framework," Working Paper Series 209, Sveriges Riksbank (Central Bank of Sweden). [Downloadable!]
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  2. Richard Clarida & Jordi Gali & Mark Gertler, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December. [Downloadable!] (restricted)
    Other versions:
  3. Klein, Paul, 2000. "Using the generalized Schur form to solve a multivariate linear rational expectations model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(10), pages 1405-1423, September. [Downloadable!] (restricted)
  4. Andrew Levin & Volker Wieland & John C. Williams, 2003. "The Performance of Forecast-Based Monetary Policy Rules under Model Uncertainty," CFS Working Paper Series 2003/06, Center for Financial Studies. [Downloadable!]
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  5. Sargent, Thomas J & Wallace, Neil, 1975. ""Rational" Expectations, the Optimal Monetary Instrument, and the Optimal Money Supply Rule," Journal of Political Economy, University of Chicago Press, vol. 83(2), pages 241-54, April. [Downloadable!] (restricted)
  6. Charles T. Carlstrom & Timothy S. Fuerst, 2001. "Taylor rules in a model that satisfies the natural rate hypothesis," Working Paper 0116, Federal Reserve Bank of Cleveland. [Downloadable!]
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  7. Lubik, Thomas A. & Marzo, Massimiliano, 2007. "An inventory of simple monetary policy rules in a New Keynesian macroeconomic model," International Review of Economics & Finance, Elsevier, vol. 16(1), pages 15-36. [Downloadable!] (restricted)
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  8. Thomas J. Sargent, 1973. "Rational Expectations, the Real Rate of Interest, and the Natural Rate of Unemployment," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 4(1973-2), pages 429-480. [Downloadable!]
  9. Woodford, Michael, 2003. "Comment on: Multiple-solution indeterminacies in monetary policy analysis," Journal of Monetary Economics, Elsevier, vol. 50(5), pages 1177-1188, July. [Downloadable!] (restricted)
  10. Bennett T. McCallum, 2003. "Multiple-Solution Indeterminacies in Monetary Policy Analysis," NBER Working Papers 9837, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  11. Alexander Meyer-Gohde, 2007. "Solving Linear Rational Expectations Models with Lagged Expectations Quickly and Easily," SFB 649 Discussion Papers SFB649DP2007-069, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
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  12. Andres, Javier & Lopez-Salido, J. David & Nelson, Edward, 2005. "Sticky-price models and the natural rate hypothesis," Journal of Monetary Economics, Elsevier, vol. 52(5), pages 1025-1053, July. [Downloadable!] (restricted)
    Other versions:
  13. N. Gregory Mankiw & Ricardo Reis, 2001. "Sticky Information Versus Sticky Prices: A Proposal to Replace the New Keynesian Phillips Curve," Harvard Institute of Economic Research Working Papers 1922, Harvard - Institute of Economic Research. [Downloadable!]
    Other versions:
  14. Bennett McCallum, 1999. "Role of the Minimal State Variable Criterion in Rational Expectations Models," International Tax and Public Finance, Springer, vol. 6(4), pages 621-639, November. [Downloadable!] (restricted)
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  15. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-11, July. [Downloadable!] (restricted)
  16. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September. [Downloadable!] (restricted)
  17. Benjamin D. Keen, 2007. "Sticky Price And Sticky Information Price-Setting Models: What Is The Difference?," Economic Inquiry, Western Economic Association International, vol. 45(4), pages 770-786, October. [Downloadable!] (restricted)
  18. McCallum, Bennett T., 1994. "A semi-classical model of price-level adjustment," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 41(1), pages 251-284, December. [Downloadable!] (restricted)
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