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Solving Dynamic Equilibrium Models by a Method of Undetermined Coefficients

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Author Info
Lawrence J. Christiano

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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.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Technical Working Papers with number 0225.

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Date of creation: Feb 1998
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Handle: RePEc:nbr:nberte:0225

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C6 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming
C63 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Computational Techniques

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  1. Edward C. Prescott, 1986. "Theory ahead of business cycle measurement," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Fall, pages 9-22. [Downloadable!]
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  2. Lawrence J. Christiano & Martin Eichenbaum & Charles L. Evans, 1996. "Sticky Price and Limited Participation Models of Money: A Comparison," NBER Working Papers 5804, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  3. Judd, Kenneth L., 1992. "Projection methods for solving aggregate growth models," Journal of Economic Theory, Elsevier, vol. 58(2), pages 410-452, December. [Downloadable!] (restricted)
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  4. Uhlig, H., 1995. "A toolkit for analyzing nonlinear dynamic stochastic models easily," Discussion Paper 97, Tilburg University, Center for Economic Research. [Downloadable!]
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  5. 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. [Downloadable!] (restricted)
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  6. 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 245-73, April. [Downloadable!] (restricted)
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  7. Lawrence J. Christiano & Jonas D.M. Fisher, 1994. "Algorithms for solving dynamic models with occasionally binding constraints," Working Paper Series, Macroeconomic Issues 94-6, Federal Reserve Bank of Chicago.
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  8. V. V. Chari & Patrick J. Kehoe & Ellen R. McGrattan, 1996. "Sticky Price Models of the Business Cycle: Can the Contract Multiplier Solve the Persistence Problem?," NBER Working Papers 5809, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  9. Jonas D.M. Fisher, 1998. "Credit market imperfections and the heterogeneous response of firms to monetary shocks," Working Paper Series, Macroeconomic Issues 96-23, Federal Reserve Bank of Chicago. [Downloadable!]
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  10. V. V. Chari & Lawrence J. Christiano & Martin Eichenbaum, 1995. "Inside Money, Outside Money and Short Term Interest Rates," NBER Working Papers 5269, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  11. Lawrence J. Christiano & Martin Eichenbaum & Charles L. Evans, 1998. "Modeling Money," NBER Working Papers 6371, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  12. Lawrence J. Christiano & Martin Eichenbaum, 1992. "Liquidity effects and the monetary transmission mechanism," Staff Report 150, Federal Reserve Bank of Minneapolis. [Downloadable!]
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  13. Lawrence J. Christiano & Martin Eichenbaum, 1989. "Unit Roots in Real GNP: Do We Know, and Do We Care?," NBER Working Papers 3130, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  14. 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 1113-36, November. [Downloadable!] (restricted)
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  15. 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. [Downloadable!] (restricted)
  16. Burnside, Craig & Eichenbaum, Martin, 1996. "Factor-Hoarding and the Propagation of Business-Cycle Shocks," American Economic Review, American Economic Association, vol. 86(5), pages 1154-74, December. [Downloadable!] (restricted)
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  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. [Downloadable!] (restricted)
  18. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-11, July. [Downloadable!] (restricted)
  19. Jeffrey R. Campbell, 1997. "Entry, Exit, Embodied Technology, and Business Cycles," NBER Working Papers 5955, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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