IDEAS home Printed from https://ideas.repec.org/p/nbr/nberte/0225.html
   My bibliography  Save this paper

Solving Dynamic Equilibrium Models by a Method of Undetermined Coefficients

Author

Listed:
  • Lawrence J. Christiano

Abstract

I present an undetermined coefficients method for obtaining a linear approximating to the solution of a dynamic, rational expectations model. I also show 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," NBER Technical Working Papers 0225, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberte:0225
    as

    Download full text from publisher

    File URL: http://www.nber.org/papers/t0225.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    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. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. Harald Uhlig, 1995. "A toolkit for analyzing nonlinear dynamic stochastic models easily," Discussion Paper / Institute for Empirical Macroeconomics 101, Federal Reserve Bank of Minneapolis.
    10. 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.
    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. 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.
    13. 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.
    14. 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.
    15. 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.
    16. 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.
    17. 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.
    18. 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.
    19. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. King, Robert G. & Rebelo, Sergio T., 1999. "Resuscitating real business cycles," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 14, pages 927-1007, Elsevier.
    3. Burkhard Heer & Andreas Schabert, 2000. "Open Market Operations as a Monetary Policy Shock Measure in a Quantitative Business Cycle Model," CESifo Working Paper Series 396, CESifo.
    4. Kim, Soyoung & Roubini, Nouriel, 2000. "Exchange rate anomalies in the industrial countries: A solution with a structural VAR approach," Journal of Monetary Economics, Elsevier, vol. 45(3), pages 561-586, June.
    5. Cook, David, 1999. "The liquidity effect and money demand," Journal of Monetary Economics, Elsevier, vol. 43(2), pages 377-390, April.
    6. 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.).
    7. Lawrence J. Christiano & Martin Eichenbaum & Charles L. Evans, 2005. "Nominal Rigidities and the Dynamic Effects of a Shock to Monetary Policy," Journal of Political Economy, University of Chicago Press, vol. 113(1), pages 1-45, February.
    8. Arnaud Cheron & Francois Langot, 2004. "Labor Market Search and Real Business Cycles: Reconciling Nash Bargaining with the Real Wage Dynamics," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(2), pages 476-493, April.
    9. Chung, Kyuil, 2009. "Does the liquidity effect guarantee a positive term premium?," Economic Modelling, Elsevier, vol. 26(5), pages 893-903, September.
    10. Avouyi-Dovi, S. & Matheron, J. & Fève, P., 2007. "Les modèles DSGE – leur intérêt pour les banques centrales," Bulletin de la Banque de France, Banque de France, issue 161, pages 41-54.
    11. Fernando Alvarez & Andrew Atkeson & Patrick J. Kehoe, 2002. "Money, Interest Rates, and Exchange Rates with Endogenously Segmented Markets," Journal of Political Economy, University of Chicago Press, vol. 110(1), pages 73-112, February.
    12. Matthias Doepke, 2005. "Show me the money : retained earnings and the real effects of monetary shocks," Recherches économiques de Louvain, De Boeck Université, vol. 71(1), pages 5-34.
    13. Lawrence J. Christiano & Roberto Motto & Massimo Rostagno, 2003. "The Great Depression and the Friedman-Schwartz hypothesis," Proceedings, Federal Reserve Bank of Cleveland, pages 1119-1215.
    14. Fernando Alvarez & Andrew Atkeson & Patrick J. Kehoe, 2000. "Money, Interest Rates, and Exchange Rates with Endogenously Segmented Asset Markets," NBER Working Papers 7871, National Bureau of Economic Research, Inc.
    15. Peter Ireland & Niki Papadopoulou, 2004. "Sticky Prices vs. Limited Participation: What Do We Learn From the Data?," Money Macro and Finance (MMF) Research Group Conference 2004 79, Money Macro and Finance Research Group.
    16. Niki Papadopoulou, 2004. "Sticky Prices, Limited Participation or Both?," Working Papers 2004_3, Business School - Economics, University of Glasgow.
    17. Guerrieri, Luca & Iacoviello, Matteo, 2015. "OccBin: A toolkit for solving dynamic models with occasionally binding constraints easily," Journal of Monetary Economics, Elsevier, vol. 70(C), pages 22-38.
    18. Andra Ghent, 2012. "Infrequent Housing Adjustment, Limited Participation, and Monetary Policy," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 44(5), pages 931-955, August.
    19. Galí, Jordi, 2002. "New Perspectives on Monetary Policy, Inflation and the Business Cycle," CEPR Discussion Papers 3210, C.E.P.R. Discussion Papers.
    20. Edge, Rochelle M., 2007. "Time-to-build, time-to-plan, habit-persistence, and the liquidity effect," Journal of Monetary Economics, Elsevier, vol. 54(6), pages 1644-1669, September.

    More about this item

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:nbr:nberte:0225. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/nberrus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.