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Indeterminacy, Causality, and the Foundations of Monetary Policy Analysis

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  • Bennett T. McCallum

Abstract

To be useful as a guide to behavior, a model that includes a relationship between x_t and z_t+1 must specify whether x_t is influenced by the expectation at t of z_t+1 or, that z_t+1 is inertially influenced by x_t. We show that, for a broad class of linear RE models, distinct causal specifications will be uniquely associated with distinct solutions. Alternatively, a solution refinement requiring continuity of solution coefficients with respect to basic parameters implies this same solution. For a given structure there is only one RE solution that is fully consistent with the model's specification.

Suggested Citation

  • Bennett T. McCallum, 2010. "Indeterminacy, Causality, and the Foundations of Monetary Policy Analysis," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 146(I), pages 107-120, March.
  • Handle: RePEc:ses:arsjes:2010-i-3
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    References listed on IDEAS

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    1. King, Robert G & Watson, Mark W, 1998. "The Solution of Singular Linear Difference Systems under Rational Expectations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 1015-1026, November.
    2. McCallum, Bennett T., 2009. "Inflation determination with Taylor rules: Is new-Keynesian analysis critically flawed?," Journal of Monetary Economics, Elsevier, vol. 56(8), pages 1101-1108, November.
    3. Blanchard, Olivier J, 1979. "Backward and Forward Solutions for Economies with Rational Expectations," American Economic Review, American Economic Association, vol. 69(2), pages 114-118, May.
    4. Lubik, Thomas A. & Schorfheide, Frank, 2003. "Computing sunspot equilibria in linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 28(2), pages 273-285, November.
    5. Cho, Seonghoon & McCallum, Bennett T., 2009. "Another weakness of "determinacy" as a selection criterion for rational expectations models," Economics Letters, Elsevier, vol. 104(1), pages 17-19, July.
    6. Bennett T. Mccallum, 2011. "Causality, Structure And The Uniqueness Of Rational Expectations Equilibria," Manchester School, University of Manchester, vol. 79(s1), pages 551-566, June.
    7. McCallum, Bennett T., 2003. "Multiple-solution indeterminacies in monetary policy analysis," Journal of Monetary Economics, Elsevier, vol. 50(5), pages 1153-1175, July.
    8. 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.
    9. Calvo, Guillermo A., 1978. "On the indeterminacy of interest rates and wages with perfect foresight," Journal of Economic Theory, Elsevier, vol. 19(2), pages 321-337, December.
    10. Klein, Paul, 2000. "Using the generalized Schur form to solve a multivariate linear rational expectations model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(10), pages 1405-1423, September.
    11. Sims, Christopher A, 2002. "Solving Linear Rational Expectations Models," Computational Economics, Springer;Society for Computational Economics, vol. 20(1-2), pages 1-20, October.
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    Citations

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    Cited by:

    1. Ceri Davies & Max Gillman & Michal Kejak, 2016. "Interest Rates Rules," Working Papers 1009, University of Missouri-St. Louis, Department of Economics.
    2. Ceri Davies & Max Gillman & Michal Kejak, 2012. "Deriving the Taylor Principle when the Central Bank Supplies Money," IEHAS Discussion Papers 1225, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.

    More about this item

    Keywords

    determinacy; learnability; causality; continuity;

    JEL classification:

    • E4 - Macroeconomics and Monetary Economics - - Money and Interest Rates
    • E5 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

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