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Optimal monetary policy in a regime-switching economy

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  • Fabrizio Zampolli

Abstract

This paper is of interest for two reasons. First, it provides a simple algorithm for solving an optimal control problem in which the law of motion of the economy is a Markov regime-switching vector autoregression. Second, it applies this algorithm to study optimal monetary policy in a stylised small open economy model, which alternates randomly between two states: a `no-bubble' regime, in which the exchange rate fluctuates, in a stationary way, around its long-run equilibrium; and a `bubble' regime, in which the exchange rate (absent any offsetting impact of policy or exogenous shocks) increasingly deviates from it. We compute the optimal policy rule for this economy, as opposed to an optimised reaction function. This rule is regime-contingent in that policy response varies according to whether the economy is experiencing a bubble or not. The main results are as follows. First, while the optimal weights on output and inflation do not vary much between regimes, the optimal reaction to the asset price is highly dependent on the regime as well as the stochastic properties of the bubble. Second, uncertainty about the regime makes policy more cautious. Third, a policymaker uncertain about the true stochastic properties of the asset price tends to obtain a `robust' performance (i.e. minmax outcome) by responding little to the asset price. Finally, over-estimating the probability of an incipient bubble is generally more costly than under-estimating it

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Bibliographic Info

Paper provided by Society for Computational Economics in its series Computing in Economics and Finance 2004 with number 166.

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Date of creation: 11 Aug 2004
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Handle: RePEc:sce:scecf4:166

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Keywords: asset prices; policy rules; asymmetric risk;

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References

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  1. Charles Bean, 2003. "Asset Prices, Financial Imbalances and Monetary Policy: Are Inflation Targets Enough?," RBA Annual Conference Volume, in: Anthony Richards & Tim Robinson (ed.), Asset Prices and Monetary Policy Reserve Bank of Australia.
  2. Cogley, Timothy & Sargent, Thomas J., 2005. "The conquest of U.S. inflation: learning and robustness to model uncertainty," Working Paper Series 0478, European Central Bank.
  3. Meredith Beechey & Nargis Bharucha & Adam Cagliarini & David Gruen & Christopher Thompson, 2000. "A Small Model of the Australian Macroeconomy," RBA Research Discussion Papers rdp2000-05, Reserve Bank of Australia.
  4. Stephen G. Cecchetti & Anil K Kashyap, 1995. "International Cycles," NBER Working Papers 5310, National Bureau of Economic Research, Inc.
  5. Ben S. Bernanke & Mark Gertler, 2001. "Should Central Banks Respond to Movements in Asset Prices?," American Economic Review, American Economic Association, vol. 91(2), pages 253-257, May.
  6. Kenneth A. Froot & Maurice Obstfeld, 1989. "Intrinsic Bubbles: The Case of Stock Prices," NBER Working Papers 3091, National Bureau of Economic Research, Inc.
  7. Orphanides, Athanasios & Wieland, Volker, 2000. "Inflation zone targeting," European Economic Review, Elsevier, vol. 44(7), pages 1351-1387, June.
  8. Ben Bernanke & Mark Gertler, 1999. "Monetary policy and asset price volatility," Economic Review, Federal Reserve Bank of Kansas City, issue Q IV, pages 17-51.
  9. Fabio Milani, 2004. "Monetary Policy with a Wider Information Set: a Bayesian Model Averaging Approach," Macroeconomics 0401004, EconWPA.
  10. William A. Brock & Steven N. Durlauf & Kenneth D. West, 2003. "Policy Evaluation in Uncertain Economic Environments," NBER Working Papers 10025, National Bureau of Economic Research, Inc.
  11. 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.
  12. Thomas J. Sargent & LarsPeter Hansen, 2001. "Robust Control and Model Uncertainty," American Economic Review, American Economic Association, vol. 91(2), pages 60-66, May.
  13. Stephen G. Cecchetti & Hans Genberg & Sushil Wadhwani, 2002. "Asset Prices in a Flexible Inflation Targeting Framework," NBER Working Papers 8970, National Bureau of Economic Research, Inc.
  14. Bean, Charles, 1998. "The New UK Monetary Arrangements: A View from the Literature," Economic Journal, Royal Economic Society, vol. 108(451), pages 1795-1809, November.
  15. Charles A.E. Goodhart, 2001. "Monetary transmission lags and the formulation of the policy decision on interest rates," Review, Federal Reserve Bank of St. Louis, issue Jul, pages 165-186.
  16. Andrew J. Filardo, 2001. "Should monetary policy respond to asset price bubbles? : some experimental results," Research Working Paper RWP 01-04, Federal Reserve Bank of Kansas City.
  17. Ali Al-Nowaihi & Livio Stracca, 2003. "Behavioural Central Bank Loss Functions, Skewed Risks and Certainty Equivalence," Manchester School, University of Manchester, vol. 71(Supplemen), pages 21-38, 09.
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Citations

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Cited by:
  1. Lars Svensson & Noah Williams, 2005. "Monetary Policy with Model Uncertainty: Distribution Forecast Targeting," NBER Working Papers 11733, National Bureau of Economic Research, Inc.
  2. Fabrizio Zampolli & Andrew Blake, 2005. "Time Consistent Policy in Markov Switching Models," Money Macro and Finance (MMF) Research Group Conference 2005 2, Money Macro and Finance Research Group.
  3. Lars E.O. Svensson, 2010. "Inflation Targeting," NBER Working Papers 16654, National Bureau of Economic Research, Inc.
  4. repec:nbr:nberwo:13892 is not listed on IDEAS
  5. Lars E.O. Svensson & Noah Williams, 2008. "Optimal monetary policy under uncertainty: a Markov jump-linear-quadratic approach," Review, Federal Reserve Bank of St. Louis, issue Jul, pages 275-294.
  6. Gonzalez F. & Rodriguez A. & Gonzalez-Garcia J.R., 2005. "Uncertainty about the Persistence of Periods with Large Price Shocks and the Optimal Reaction of the Monetary Authority," Computing in Economics and Finance 2005 402, Society for Computational Economics.

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