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Solving dynamic equilibrium models by a method of undetermined coefficients

Author

Listed:
  • Lawrence J. Christiano
Abstract
A presentation of an undetermined coefficients method for obtaining a linear approximation to the solution of a dynamic rational-expectations model. It shows how that solution can be used to compute the model?s implications for impulse response functions and for second moments.

Suggested Citation

  • Lawrence J. Christiano, 1998. "Solving dynamic equilibrium models by a method of undetermined coefficients," Working Papers (Old Series) 9804, Federal Reserve Bank of Cleveland.
    • Handle: RePEc:fip:fedcwp:9804
    DOI: 10.26509/frbc-wp-199804
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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.
    2. Christiano, Lawrence J. & Fisher, Jonas D. M., 2000. "Algorithms for solving dynamic models with occasionally binding constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 24(8), pages 1179-1232, July.
    3. Jeffrey Campbell, 1998. "Entry, Exit, Embodied Technology, and Business Cycles," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 1(2), pages 371-408, April.
    4. Christiano, Lawrence J. & Eichenbaum, Martin, 1990. "Unit roots in real GNP: Do we know, and do we care?," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 32(1), pages 7-61, January.
    5. Chari, V V & Christiano, Lawrence J & Eichenbaum, Martin, 1995. "Inside Money, Outside Money, and Short-Term Interest Rates," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 27(4), pages 1354-1386, November.
    6. Christiano, Lawrence J & Eichenbaum, Martin, 1995. "Liquidity Effects, Monetary Policy, and the Business Cycle," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 27(4), pages 1113-1136, November.
    7. 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.
    8. Christiano, Lawrence J & Eichenbaum, Martin, 1992. "Liquidity Effects and the Monetary Transmission Mechanism," American Economic Review, American Economic Association, vol. 82(2), pages 346-353, May.
    9. Burnside, Craig & Eichenbaum, Martin, 1996. "Factor-Hoarding and the Propagation of Business-Cycle Shocks," American Economic Review, American Economic Association, vol. 86(5), pages 1154-1174, December.
    10. Lawrence J. Christiano & Martin S. Eichenbaum & Charles L. Evans, 1997. "Modeling money," Working Paper Series, Macroeconomic Issues WP-97-17, Federal Reserve Bank of Chicago.
    11. Christiano, Lawrence J. & Eichenbaum, Martin & Evans, Charles L., 1997. "Sticky price and limited participation models of money: A comparison," European Economic Review, Elsevier, vol. 41(6), pages 1201-1249, June.
    12. Burnside, Craig & Eichenbaum, Martin & Rebelo, Sergio, 1993. "Labor Hoarding and the Business Cycle," Journal of Political Economy, University of Chicago Press, vol. 101(2), pages 245-273, April.
    13. Schlagenhauf, Don E. & Wrase, Jeffrey M., 1995. "Liquidity and real activity in a simple open economy model," Journal of Monetary Economics, Elsevier, vol. 35(3), pages 431-461, June.
    14. Uhlig, H.F.H.V.S., 1995. "A toolkit for analyzing nonlinear dynamic stochastic models easily," Discussion Paper 1995-97, Tilburg University, Center for Economic Research.
    15. V. V. Chari & Patrick J. Kehoe & Ellen R. McGrattan, 2000. "Sticky Price Models of the Business Cycle: Can the Contract Multiplier Solve the Persistence Problem?," Econometrica, Econometric Society, vol. 68(5), pages 1151-1180, September.
    16. Fisher, Jonas D M, 1999. "Credit Market Imperfections and the Heterogeneous Response of Firms to Monetary Shocks," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 31(2), pages 187-211, May.
    17. Merz, Monika, 1999. "Heterogeneous job-matches and the cyclical behavior of labor turnover," Journal of Monetary Economics, Elsevier, vol. 43(1), pages 91-124, February.
    18. Fisher, Jonas D. M., 1997. "Relative prices, complementarities and comovement among components of aggregate expenditures," Journal of Monetary Economics, Elsevier, vol. 39(3), pages 449-474, August.
    19. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December.
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    More about this item

    Keywords

    Econometric models;

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

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