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Determinacy and Learnability of Monetary Policy Rules in Small Open Economies

  • Luis Gonzalo Llosa
  • Vicente Tuesta

This paper evaluates under which conditions different Taylor-type rules lead to determinacy and expectational stability (E-stability) of rational expectations equilibrium in a simple New Keynesian small open economy model, developed by Gali and Monacelli (2005). In particular, we extend the Bullard and Mitra (2002) results of determinacy and E-stability in a closed economy to this small open economy framework. Our results highlight an important link between the Taylor principle and both determinacy and learnability of equilibrium in small open economies. More importantly, the degree of openness coupled with the nature of the policy rule adopted by the monetary authorities might change this link in important ways. A key finding is that, contrary to Bullard and Mitra, expectations-based rules that involve the CPI and/or the nominal exchange rate limit the region of E-stability and the Taylor Principle does not guarantee E-stability. We also show that some forms of managed exchange rate rules can help to alleviate problems of both indeterminacy and expectational instability, yet these rules might not be desirable since they promote greater volatility in the economy.

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Paper provided by Inter-American Development Bank, Research Department in its series Research Department Publications with number 4479.

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Date of creation: Dec 2006
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Handle: RePEc:idb:wpaper:4479
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  1. Eric Schaling & James Bullard, 2005. "Monetary Policy, Determinacy, and Learnability in the Open Economy," Computing in Economics and Finance 2005 362, Society for Computational Economics.
  2. Preston, Bruce, 2005. "Learning about Monetary Policy Rules when Long-Horizon Expectations Matter," MPRA Paper 830, University Library of Munich, Germany.
  3. Marco Vega & Diego Winkelried, 2005. "Inflation Targeting and Inflation Behavior: A Successful Story?," International Journal of Central Banking, International Journal of Central Banking, vol. 1(3), December.
  4. Ben S. Bernanke & Michael Woodford, 1997. "Inflation forecasts and monetary policy," Proceedings, Federal Reserve Bank of Cleveland, pages 653-686.
  5. Bullard, James & Mitra, Kaushik, 2002. "Learning about monetary policy rules," Journal of Monetary Economics, Elsevier, vol. 49(6), pages 1105-1129, September.
  6. Nicoletta Batini & Andrew Haldane, 1999. "Forward-Looking Rules for Monetary Policy," NBER Chapters, in: Monetary Policy Rules, pages 157-202 National Bureau of Economic Research, Inc.
  7. V. V Chari & Patrick J. Kehoe & Ellen R. McGrattan, 2002. "Can Sticky Price Models Generate Volatile and Persistent Real Exchange Rates?," Review of Economic Studies, Oxford University Press, vol. 69(3), pages 533-563.
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  9. McCallum, Bennett T., 1983. "On non-uniqueness in rational expectations models : An attempt at perspective," Journal of Monetary Economics, Elsevier, vol. 11(2), pages 139-168.
  10. Jordi Gal� & Tommaso Monacelli, 2005. "Monetary Policy and Exchange Rate Volatility in a Small Open Economy," Review of Economic Studies, Oxford University Press, vol. 72(3), pages 707-734.
  11. 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.
  12. Guillermo A. Calvo & Carmen M. Reinhart, 2002. "Fear Of Floating," The Quarterly Journal of Economics, MIT Press, vol. 117(2), pages 379-408, May.
  13. Taylor, John B., 1993. "Discretion versus policy rules in practice," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 39(1), pages 195-214, December.
  14. Bullard, James & Singh, Aarti, 2008. "Worldwide macroeconomic stability and monetary policy rules," Journal of Monetary Economics, Elsevier, vol. 55(Supplemen), pages S34-S47, October.
  15. Cooley, T.F. & Hansen, G.D., 1988. "The Inflation Tax In A Real Business Cycle Model," RCER Working Papers 155, University of Rochester - Center for Economic Research (RCER).
  16. Evans, George W. & Honkapohja, Seppo, 1999. "Learning dynamics," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 7, pages 449-542 Elsevier.
  17. N. Batini & P. Levine & J. Pearlman, 2003. "Indeterminacy with inflation-forecast-cased rules in a two-bloc model," Proceedings, Board of Governors of the Federal Reserve System (U.S.).
  18. Seppo Honkapohja & Kaushik Mitra & George W. Evans, 2011. "Notes on Agents¡¯ Behavioral Rules Under Adaptive Learning and Studies of Monetary Policy," CDMA Working Paper Series 201102, Centre for Dynamic Macroeconomic Analysis.
  19. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
  20. De Fiore, Fiorella & Liu, Zheng, 2005. "Does trade openness matter for aggregate instability?," Journal of Economic Dynamics and Control, Elsevier, vol. 29(7), pages 1165-1192, July.
  21. Aoki, Kosuke, 2001. "Optimal monetary policy responses to relative-price changes," Journal of Monetary Economics, Elsevier, vol. 48(1), pages 55-80, August.
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