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Solution and Estimation of RE Macromodels with Optimal Policy

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Abstract

Macro models of monetary policy typically involve forward looking behavior. Except in rare circumstances, we have to apply some numerical method to find the the optimal policy and the rational expectations equilibrium. This paper summarizes a few useful methods, and shows how they can be combined with a Kalman filter to estimate the deep model parameters with maximum likelihood. Simulations of a macro model with staggered price setting, interest rate elastic output, and optimal monetary policy illustrate the properties of this estimation approach.

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  • Söderlind, Paul, 1998. "Solution and Estimation of RE Macromodels with Optimal Policy," SSE/EFI Working Paper Series in Economics and Finance 256, Stockholm School of Economics.
    • Handle: RePEc:hhs:hastef:0256
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    1. Fuhrer, Jeffrey C & Moore, George R, 1995. "Monetary Policy Trade-offs and the Correlation between Nominal Interest Rates and Real Output," American Economic Review, American Economic Association, vol. 85(1), pages 219-239, March.
    2. Currie,David & Levine,Paul, 2009. "Rules, Reputation and Macroeconomic Policy Coordination," Cambridge Books, Cambridge University Press, number 9780521104609, October.
    3. Soderlind, Paul, 2001. "Monetary policy and the Fisher effect," Journal of Policy Modeling, Elsevier, vol. 23(5), pages 491-495, July.
    4. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
    5. Mankiw, N. Gregory (ed.), 1997. "Monetary Policy," National Bureau of Economic Research Books, University of Chicago Press, edition 1, number 9780226503097.
    6. Backus, David & Driffill, John, 1986. "The Consistency of Optimal Policy in Stochastic Rational Expectations Models," CEPR Discussion Papers 124, C.E.P.R. Discussion Papers.
    7. Levine, Paul & Currie, David, 1987. "The design of feedback rules in linear stochastic rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 11(1), pages 1-28, March.
    8. Gilles Oudiz & Jeffrey Sachs, 1985. "International Policy Coordination in Dynamic Macroeconomic Models," NBER Chapters, in: International Economic Policy Coordination, pages 274-330, National Bureau of Economic Research, Inc.
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    More about this item

    Keywords

    Unstable roots; Schur decomposition; Kalman filter estimation;
    All these keywords.

    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
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

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