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Generalized method of moments and inverse control

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  • Givens, Gregory E.
  • Salemi, Michael K.

Abstract

This paper presents a Generalized Method of Moments algorithm for estimating the structural parameters of a macroeconomic model subject to the restriction that the coefficients of the monetary policy rule minimize the central bank's expected loss function. The algorithm combines least-squares normal equations with moment restrictions derived from the first-order necessary conditions of the auxiliary optimization. We assess the performance of the algorithm with Monte Carlo simulations using three increasingly complex models. We find that imposing the optimizing restrictions when they are true improves estimation accuracy and that imposing those restrictions when they are false biases estimates of some of the structural parameters but not of the policy rule coefficients.
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  • Givens, Gregory E. & Salemi, Michael K., 2008. "Generalized method of moments and inverse control," Journal of Economic Dynamics and Control, Elsevier, vol. 32(10), pages 3113-3147, October.
  • Handle: RePEc:eee:dyncon:v:32:y:2008:i:10:p:3113-3147
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    Cited by:

    1. Givens, Gregory E. & Salemi, Michael K., 2015. "Inferring monetary policy objectives with a partially observed state," Journal of Economic Dynamics and Control, Elsevier, vol. 52(C), pages 190-208.
    2. Pelin Ilbas, 2012. "Revealing the preferences of the US Federal Reserve," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 27(3), pages 440-473, April.
    3. Givens, Gregory E., 2016. "On the gains from monetary policy commitment under deep habits," Journal of Macroeconomics, Elsevier, vol. 50(C), pages 19-36.
    4. Pelin Ilbas & Øistein Røisland & Tommy Sveen, 2013. "The influence of the Taylor rule on US monetary policy," Working Paper 2013/04, Norges Bank.
    5. Gregory E. Givens, 2012. "Estimating Central Bank Preferences under Commitment and Discretion," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 44(6), pages 1033-1061, September.

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    More about this item

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • 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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