IDEAS home Printed from https://ideas.repec.org/a/ecm/emetrp/v52y1984i3p665-80.html
   My bibliography  Save this article

Saddlepoint Problems in Continuous Time Rational Expectations Models: A General Method and Some Macroeconomic Examples

Author

Listed:
  • Buiter, Willem H

Abstract

The paper presents a general solution method for rational expectations models that can be represented by systems of. deterministic first order linear differential equations with constant coefficients. It is the continuous time adaptation of the method of Blanchard and Kahn. To obtain a unique solution there must be as many linearly independent boundary conditions as there are linearly independent state variables. Three slightly different versions of a well-known small open economy macroeconomic model were used to illustrate three fairly general ways of specifying the required boundary conditions. The first represents the standard case in which the number of stable characteristic roots equals the number of predetermined variables. The second represents the case where the number of stable roots exceeds the number of predetermined variables but equals the number of predetermined variables plus the number of "backward-looking" but non-predetermined variables whose discontinuities are linear functions of the discontinuities in the forward-looking variables. The third represents the case where the number of unstable roots is less than the number of forward-looking state variables. For the last case, boundary conditions are suggested that involve linear restrictions on the values of the state variables at a future date. The method of this paper permits the numerical solution of models with large numbers of state variables. Any combination of anticipated or unanticipated, current or future and permanent or transitory shocks can be analyzed.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Buiter, Willem H, 1984. "Saddlepoint Problems in Continuous Time Rational Expectations Models: A General Method and Some Macroeconomic Examples," Econometrica, Econometric Society, vol. 52(3), pages 665-680, May.
  • Handle: RePEc:ecm:emetrp:v:52:y:1984:i:3:p:665-80
    as

    Download full text from publisher

    File URL: http://links.jstor.org/sici?sici=0012-9682%28198405%2952%3A3%3C665%3ASPICTR%3E2.0.CO%3B2-S&origin=repec
    File Function: full text
    Download Restriction: Access to full text is restricted to JSTOR subscribers. See http://www.jstor.org for details.
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Wilson, Charles A, 1979. "Anticipated Shocks and Exchange Rate Dynamics," Journal of Political Economy, University of Chicago Press, vol. 87(3), pages 639-647, June.
    2. Brock, William A., 1975. "A simple perfect foresight monetary model," Journal of Monetary Economics, Elsevier, vol. 1(2), pages 133-150, April.
    3. Krugman, Paul, 1979. "A Model of Balance-of-Payments Crises," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 11(3), pages 311-325, August.
    4. 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.
    5. Dornbusch, Rudiger & Fischer, Stanley, 1980. "Exchange Rates and the Current Account," American Economic Review, American Economic Association, vol. 70(5), pages 960-971, December.
    6. Dornbusch, Rudiger, 1976. "Expectations and Exchange Rate Dynamics," Journal of Political Economy, University of Chicago Press, vol. 84(6), pages 1161-1176, December.
    7. 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 745-770, August.
    8. Olivier Jean Blanchard, 1980. "The Monetary Mechanism in the Light of Rational Expectations," NBER Chapters, in: Rational Expectations and Economic Policy, pages 75-116, National Bureau of Economic Research, Inc.
    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. Obstfeld, Maurice & Stockman, Alan C., 1985. "Exchange-rate dynamics," Handbook of International Economics, in: R. W. Jones & P. B. Kenen (ed.), Handbook of International Economics, edition 1, volume 2, chapter 18, pages 917-977, Elsevier.
    2. Piersanti, Giovanni, 2012. "The Macroeconomic Theory of Exchange Rate Crises," OUP Catalogue, Oxford University Press, number 9780199653126.
    3. Frenkel, Jacob A. & Mussa, Michael L., 1985. "Asset markets, exchange rates and the balance of payments," Handbook of International Economics, in: R. W. Jones & P. B. Kenen (ed.), Handbook of International Economics, edition 1, volume 2, chapter 14, pages 679-747, Elsevier.
    4. Eric Bleuze, 1988. "L'interdépendance des économies en change flexible : les apports d'une maquette dynamique," Post-Print hal-01304325, HAL.
    5. repec:spo:wpmain:info:hdl:2441/5386 is not listed on IDEAS
    6. Francesco Giavazzi & Charles Wyplosz, 1984. "The Real Exchange Rate, the Current Account, and the Speed of Adjustment," NBER Chapters, in: Exchange Rate Theory and Practice, pages 335-356, National Bureau of Economic Research, Inc.
    7. repec:hal:spmain:info:hdl:2441/5386 is not listed on IDEAS
    8. Chao, Chi-Chur & Hu, Shih-Wen & Lai, Ching-Chong & Tai, Meng-Yi & Wang, Vey, 2013. "Tariff-tax reform and exchange rate dynamics in a monetary economy," The North American Journal of Economics and Finance, Elsevier, vol. 24(C), pages 63-73.
    9. Suman S. Basu & Atish R. Ghosh & Jonathan D. Ostry & Pablo E. Winant, 2018. "Managing Capital Outflows with Limited Reserves," IMF Economic Review, Palgrave Macmillan;International Monetary Fund, vol. 66(2), pages 333-374, June.
    10. Frenkel, Jacob A. & Rodriguez, Carlos A., 1980. "Exchange Rate Dynamics and Overshooting Hypothesis," Foerder Institute for Economic Research Working Papers 275323, Tel-Aviv University > Foerder Institute for Economic Research.
    11. Henri Sterdyniak & Éric Bleuze, 1988. "L'interdépendance des économies en change flexible : les apports d'une maquette dynamique," Revue Économique, Programme National Persée, vol. 39(5), pages 999-1034.
    12. Threemonkong, Attapol, 1992. "An intertemporal-optimizing general equilibrium model of exchange rates and external imbalances," ISU General Staff Papers 1992010108000012961, Iowa State University, Department of Economics.
    13. Behzad T. Diba & Herschel I. Grossman, 1983. "Rational Asset Price Bubbles," NBER Working Papers 1059, National Bureau of Economic Research, Inc.
    14. Eijffinger Sylvester C. W. & Goderis Benedikt, 2007. "Currency Crises, Monetary Policy and Corporate Balance Sheets," German Economic Review, De Gruyter, vol. 8(3), pages 309-343, August.
    15. McCallum, Bennett T., 2001. "Indeterminacy, bubbles, and the fiscal theory of price level determination," Journal of Monetary Economics, Elsevier, vol. 47(1), pages 19-30, February.
    16. Jyh-Lin Wu, 1994. "Fiscal announcements and real exchange rate dynamics," Open Economies Review, Springer, vol. 5(2), pages 177-190, March.
    17. Wyplosz, Charles, 2001. "Exchange Rate Regimes: Some Lessons from Postwar Europe," CEPR Discussion Papers 2723, C.E.P.R. Discussion Papers.
    18. Oscar Bajo-Rubio & Simón Sosvilla Rivero, 1993. "Teorías del tipo de cambio: una panorámica," Documentos de Trabajo del ICAE 9307, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
    19. Chatelain, Jean-Bernard & Ralf, Kirsten, 2018. "Publish and Perish: Creative Destruction and Macroeconomic Theory," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 46(2), pages 65-101.
    20. repec:hal:spmain:info:hdl:2441/5221 is not listed on IDEAS
    21. Debabrata Datta & Susmita Chatterjee, 2013. "A Simple Model of Macroeconomic Instability in the Background of the Indian Economy," South Asian Journal of Macroeconomics and Public Finance, , vol. 2(1), pages 81-106, June.
    22. Buiter, William H & Purvis, Douglas D, 1980. "Oil, Disinflation, and Export Competitiveness : A Model of the "Dutch Disease"," The Warwick Economics Research Paper Series (TWERPS) 185, University of Warwick, Department of Economics.
    23. Eijffinger, S.C.W. & Goderis, B., 2002. "Financial crises, monetary policy and financial fragility : A second-generation model of currency crises," Other publications TiSEM d2ccad44-44f6-40d8-9be0-1, Tilburg University, School of Economics and Management.

    More about this item

    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:ecm:emetrp:v:52:y:1984:i:3:p:665-80. 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: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/essssea.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.