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On the mechanics of forming and estimating dynamic linear economies

Author

Listed:
  • Evan W. Anderson
  • Lars Peter Hansen
  • Ellen R. McGrattan
  • Thomas J. Sargent

Abstract

This paper catalogues formulas that are useful for estimating dynamic linear economic models. We describe algorithms for computing equilibria of an economic model and for recursively computing a Gaussian likelihood function and its gradient with respect to parameters. We apply these methods to several example economies.

Suggested Citation

  • Evan W. Anderson & Lars Peter Hansen & Ellen R. McGrattan & Thomas J. Sargent, 1995. "On the mechanics of forming and estimating dynamic linear economies," Staff Report 198, Federal Reserve Bank of Minneapolis.
  • Handle: RePEc:fip:fedmsr:198
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    References listed on IDEAS

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    1. Hall, Robert E, 1978. "Stochastic Implications of the Life Cycle-Permanent Income Hypothesis: Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 86(6), pages 971-987, December.
    2. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-1370, November.
    3. Thomas Doan & Robert B. Litterman & Christopher A. Sims, 1983. "Forecasting and Conditional Projection Using Realistic Prior Distributions," NBER Working Papers 1202, National Bureau of Economic Research, Inc.
    4. Sims, Christopher A, 1980. "Macroeconomics and Reality," Econometrica, Econometric Society, vol. 48(1), pages 1-48, January.
    5. McGrattan, Ellen R & Rogerson, Richard & Wright, Randall, 1997. "An Equilibrium Model of the Business Cycle with Household Production and Fiscal Policy," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(2), pages 267-290, May.
    6. McGrattan, Ellen R., 1994. "A note on computing competitive equilibria in linear models," Journal of Economic Dynamics and Control, Elsevier, vol. 18(1), pages 149-160, January.
    7. Lars Peter Hansen & Thomas J. Sargent, 1993. "Recursive linear models of dynamic economies," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
    8. Becker, Gary S & Murphy, Kevin M, 1988. "A Theory of Rational Addiction," Journal of Political Economy, University of Chicago Press, vol. 96(4), pages 675-700, August.
    9. Zadrozny, Peter, 1988. "Analytic Derivatives for Estimation of Discrete-Time,," Econometrica, Econometric Society, vol. 56(2), pages 467-472, March.
    10. Siow, Aloysius, 1984. "Occupational Choice under Uncertainty," Econometrica, Econometric Society, vol. 52(3), pages 631-645, May.
    11. Flavin, Marjorie A, 1981. "The Adjustment of Consumption to Changing Expectations about Future Income," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 974-1009, October.
    12. Heaton, John, 1993. "The Interaction between Time-Nonseparable Preferences and Time Aggregation," Econometrica, Econometric Society, vol. 61(2), pages 353-385, March.
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    Citations

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    Cited by:

    1. Lars Svensson & Noah Williams, 2005. "Monetary Policy with Model Uncertainty: Distribution Forecast Targeting," NBER Working Papers 11733, National Bureau of Economic Research, Inc.
    2. Hall, George J., 1996. "Overtime, effort, and the propagation of business cycle shocks," Journal of Monetary Economics, Elsevier, vol. 38(1), pages 139-160, August.
    3. Brock, W.A. & Hommes, C.H., 1997. "Models of Compelxity in Economics and Finance," Working papers 9706, Wisconsin Madison - Social Systems.
    4. Elmar Mertens, 2016. "Managing Beliefs about Monetary Policy under Discretion," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 48(4), pages 661-698, June.
    5. Jinill Kim, 1998. "Monetary policy in a stochastic equilibrium model with real and nominal rigidities," Finance and Economics Discussion Series 1998-02, Board of Governors of the Federal Reserve System (U.S.).
    6. Timothy Cogley & Thomas J. Sargent, 2005. "The conquest of US inflation: Learning and robustness to model uncertainty," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(2), pages 528-563, April.
    7. Baak, Saang Joon, 1999. "Tests for bounded rationality with a linear dynamic model distorted by heterogeneous expectations," Journal of Economic Dynamics and Control, Elsevier, vol. 23(9-10), pages 1517-1543, September.
    8. SaangJoon Baak, 1999. "Heterogeneous Expectations, Market Dynamics, and Social Welfare," Computing in Economics and Finance 1999 222, Society for Computational Economics.
    9. Chavas, Jean-Paul, 2000. "On information and market dynamics: The case of the U.S. beef market," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 833-853, June.

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    Keywords

    Econometric models;

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