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A Note on the Solution of A Two-Point Boundary Value Problem Frequently Encountered in Rational Expectations Models

  • Willem H. Buiter

The paper analyses a class of two-point boundary value problem for systems of linear differential equations with constant coefficients. The boundary conditions are expressed as linear restrictions on the state vector at an initial time and at a finite terminal time. This is applicable even if the terminal conditions involve the asymptotic convergence of the system to steady-state equilibrium. as is frequently the case in eC9nomic applications. It is also a suitable format for numerical applications using existing computer routines. The case in which there are more stable eigenvalues than predetermined state variables is also considered. An example involving a small open economy macroeconomic model is used to illustrate the analysis.

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File URL: http://www.nber.org/papers/t0012.pdf
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Paper provided by National Bureau of Economic Research, Inc in its series NBER Technical Working Papers with number 0012.

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Date of creation: Jun 1981
Date of revision:
Handle: RePEc:nbr:nberte:0012
Note: ITI IFM
Contact details of provider: Postal: National Bureau of Economic Research, 1050 Massachusetts Avenue Cambridge, MA 02138, U.S.A.
Phone: 617-868-3900
Web page: http://www.nber.org
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  1. Blanchard, Olivier J, 1979. "Backward and Forward Solutions for Economies with Rational Expectations," American Economic Review, American Economic Association, vol. 69(2), pages 114-18, May.
  2. 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.
  3. Obstfeld, Maurice, 1981. "Macroeconomic Policy, Exchange-Rate Dynamics, and Optimal Asset Accumulation," Journal of Political Economy, University of Chicago Press, vol. 89(6), pages 1142-61, December.
  4. Flood, Robert P & Garber, Peter M, 1980. "Market Fundamentals versus Price-Level Bubbles: The First Tests," Journal of Political Economy, University of Chicago Press, vol. 88(4), pages 745-70, August.
  5. Willem H. Buiter & Marcus H. Miller, 1980. "Monetary Policy and International Competitiveness," NBER Working Papers 0591, National Bureau of Economic Research, Inc.
  6. Willem H. Buiter, 1980. "The Role of Economic Policy After the New Classical Macroeconomics," NBER Technical Working Papers 0006, National Bureau of Economic Research, Inc.
  7. Calvo, Guillermo A, 1979. "On Models of Money and Perfect Foresight," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 20(1), pages 83-103, February.
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