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Inspecting the noisy mechanism: the stochastic growth model with partial information

Author

Listed:
  • Liam Graham

    (University College)

  • Stephen Wright

    (Birkbeck College)

Abstract

We derive a framework (and provide a software toolkit) which allows the dynamic general equilibrium modeller to specify what variables are in households' information sets, and the degree to which these variables are measured with error. We apply this framework to a canonical real business cycle model and show that which variables are observable has a significant effect, both qualitatively and quantitatively, on the dynamics of the model. Specifically, we find (i) The standard decentralised equilibrium, with households only observing returns and not aggregate quantities, is not stable to arbitrarily small measurement error (ii) A stable solution does exist, but it is dramatically different from the full-information case (iii) Having aggregate output data, even if relatively noisy, brings the economy much closer to the full-information solution

Suggested Citation

  • Liam Graham & Stephen Wright, 2006. "Inspecting the noisy mechanism: the stochastic growth model with partial information," Computing in Economics and Finance 2006 207, Society for Computational Economics.
    • Handle: RePEc:sce:scecfa:207
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    References listed on IDEAS

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    1. Prescott, Edward C., 1986. "Theory ahead of business-cycle measurement," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 25(1), pages 11-44, January.
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    12. Lars E. O. Svensson & Michael Woodford, 2003. "Optimal Policy with Partial Information in a Forward-Looking Model: Certainty-Equivalence Redux," NBER Working Papers 9430, National Bureau of Economic Research, Inc.
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    15. Orphanides, Athanasios & Porter, Richard D. & Reifschneider, David & Tetlow, Robert & Finan, Frederico, 2000. "Errors in the measurement of the output gap and the design of monetary policy," Journal of Economics and Business, Elsevier, vol. 52(1-2), pages 117-141.
    16. Aoki, Kosuke, 2006. "Optimal commitment policy under noisy information," Journal of Economic Dynamics and Control, Elsevier, vol. 30(1), pages 81-109, January.
    17. John Laitner & Dmitriy Stolyarov, 2003. "Technological Change and the Stock Market," American Economic Review, American Economic Association, vol. 93(4), pages 1240-1267, September.
    18. Svensson, Lars E. O. & Woodford, Michael, 2004. "Indicator variables for optimal policy under asymmetric information," Journal of Economic Dynamics and Control, Elsevier, vol. 28(4), pages 661-690, January.
    19. Pearlman, Joseph, 1986. "Diverse information and rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 10(1-2), pages 333-338, June.
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    More about this item

    Keywords

    DGE; Partial information; Measurement error;
    All these keywords.

    JEL classification:

    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • E37 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Forecasting and Simulation: Models and Applications

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