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Generalized Method of Moments and Inverse Control

  • Gregory Erin Givens
  • Michael K. Salemi

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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Paper provided by Middle Tennessee State University, Department of Economics and Finance in its series Working Papers with number 200603.

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Date of creation: Jun 2006
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Handle: RePEc:mts:wpaper:200603
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  1. McCallum, Bennett T., 1999. "Issues in the design of monetary policy rules," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 23, pages 1483-1530 Elsevier.
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  20. repec:tpr:qjecon:v:115:y:2000:i:1:p:147-180 is not listed on IDEAS
  21. Clarida, Richard & Galí, Jordi & Gertler, Mark, 1998. "Monetary Policy Rules and Macroeconomic Stability: Evidence and Some Theory," CEPR Discussion Papers 1908, C.E.P.R. Discussion Papers.
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  29. Robert King & Alexander L. Wolman, 1999. "What Should the Monetary Authority Do When Prices Are Sticky?," NBER Chapters, in: Monetary Policy Rules, pages 349-404 National Bureau of Economic Research, Inc.
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