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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

Suggested Citation

  • Fabrizio Zampolli, 2004. "Optimal monetary policy in a regime-switching economy," Computing in Economics and Finance 2004 166, Society for Computational Economics.
  • Handle: RePEc:sce:scecf4:166
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    References listed on IDEAS

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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. Svensson, Lars E.O., 2010. "Inflation Targeting," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 22, pages 1237-1302, Elsevier.
    3. 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.
    4. 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, vol. 90(Jul), pages 275-294.
    5. 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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    More about this item

    Keywords

    asset prices; policy rules; asymmetric risk;
    All these keywords.

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • E5 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit

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