IDEAS home Printed from https://ideas.repec.org/p/nbr/nberte/0003.html
   My bibliography  Save this paper

Multiple Shooting in Rational Expectations Models

Author

Listed:
  • David Lipton
  • James M. Poterba
  • Jeffrey Sachs
  • Lawrence H. Summers

Abstract

This note describes an algorithm for the solution of rational expectations models with saddlepoint stability properties. The algorithm is based on the method of multiple shooting, which is widely used to solve mathematically similar problems in the physical sciences. Potential applications to economics include models of capital accumulation and valuation, money arid growth, exchange rate determination, and macroeconomic activity. In general, whenever an asset price incorporates information about the future path of key variables, solution algorithms of the type we consider are applicable.

Suggested Citation

  • David Lipton & James M. Poterba & Jeffrey Sachs & Lawrence H. Summers, 1983. "Multiple Shooting in Rational Expectations Models," NBER Technical Working Papers 0003, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberte:0003
    Note: EFG PE
    as

    Download full text from publisher

    File URL: http://www.nber.org/papers/t0003.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Fair, Ray C, 1979. "An Analysis of a Macro-Econometric Model with Rational Expectations in the Bond and Stock Markets," American Economic Review, American Economic Association, vol. 69(4), pages 539-552, September.
    2. Sargent, Thomas J & Wallace, Neil, 1973. "The Stability of Models of Money and Growth with Perfect Foresight," Econometrica, Econometric Society, vol. 41(6), pages 1043-1048, November.
    3. 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.
    4. Dornbusch, Rudiger, 1976. "Expectations and Exchange Rate Dynamics," Journal of Political Economy, University of Chicago Press, vol. 84(6), pages 1161-1176, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Lawrence H. Summers, 1985. "The Asset Price Approach to the Analysis of Capital Income Taxation," Palgrave Macmillan Books, in: George R. Feiwel (ed.), Issues in Contemporary Macroeconomics and Distribution, chapter 19, pages 429-443, Palgrave Macmillan.
    2. Jeffrey Sachs & Warwick J. McKibbin, 1985. "Macroeconomic Policies in the OECD and LDC External Adjustmemt," NBER Working Papers 1534, National Bureau of Economic Research, Inc.
    3. Gilles Oudiz & Jeffrey Sachs, 1984. "International Policy Coordination in Dynamic Macroeconomic Models," NBER Working Papers 1417, National Bureau of Economic Research, Inc.
    4. James M. Poterba, 1980. "Inflation, Income Taxes, and Owner-Occupied Housing," NBER Working Papers 0553, National Bureau of Economic Research, Inc.
    5. James Heckman & Lance Lochner & Christopher Taber, 1998. "Explaining Rising Wage Inequality: Explanations With A Dynamic General Equilibrium Model of Labor Earnings With Heterogeneous Agents," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 1(1), pages 1-58, January.
    6. Kehoe, Timothy J. & Levine, David K., 1990. "The economics of indeterminacy in overlapping generations models," Journal of Public Economics, Elsevier, vol. 42(2), pages 219-243, July.
    7. Peter B. Dixon & K.R. Pearson & Mark R. Picton & Maureen T. Rimmer, 2002. "Rational Expectations for Large Models: A Practical Algorithm and a Policy Application," Centre of Policy Studies/IMPACT Centre Working Papers ip-81, Victoria University, Centre of Policy Studies/IMPACT Centre.
    8. Jeffrey D. Sachs, 1980. "Energy and Growth under Flexible Exchange Rates: A Simulation Study," NBER Working Papers 0582, National Bureau of Economic Research, Inc.
    9. Laurence J. Kotlikoff & Edward E. Leamer & Jeffrey Sachs, 1981. "The International Economics of Transitional Growth: The Case of the United States," NBER Working Papers 0773, National Bureau of Economic Research, Inc.
    10. Michael A. Kouparitsas, 1997. "Why do countries pursue bilateral trade agreements: a case study of North America," Working Paper Series, Macroeconomic Issues WP-97-20, Federal Reserve Bank of Chicago.

    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. Lamo, Ana & Messina, Julián & Wasmer, Etienne, 2011. "Are specific skills an obstacle to labor market adjustment?," Labour Economics, Elsevier, vol. 18(2), pages 240-256, April.
    2. 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.
    3. 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.
    4. Francesco Carravetta & Marco Sorge, 2010. "A “Nearly Ideal” Solution to Linear Time-Varying Rational Expectations Models," Computational Economics, Springer;Society for Computational Economics, vol. 35(4), pages 331-353, April.
    5. Engel, Charles, 2019. "Real exchange rate convergence: The roles of price stickiness and monetary policy," Journal of Monetary Economics, Elsevier, vol. 103(C), pages 21-32.
    6. Papell, David H., 1984. "Activist monetary policy and exchange-rate overshooting: The Deutsche mark/dollar rate," Journal of International Money and Finance, Elsevier, vol. 3(3), pages 293-310, December.
    7. Stephen J. Turnovsky, 2011. "Stabilization Theory and Policy: 50 Years after the Phillips Curve," Economica, London School of Economics and Political Science, vol. 78(309), pages 67-88, January.
    8. Mustafa Caglayan & Kostas Mouratidis & Elham Saeidinezhad, 2011. "Monetary policy effects on output and exchange rates: Results from US, UK and Japan," Working Papers 2011016, The University of Sheffield, Department of Economics.
    9. Bouakez, Hafedh, 2005. "Nominal rigidity, desired markup variations, and real exchange rate persistence," Journal of International Economics, Elsevier, vol. 66(1), pages 49-74, May.
    10. Kollman, R., 1996. "The Exchange Rate in a Dynamic-Optimizing Current Account Model with Nominal Rigidities: a Quantitative Investigation," Cahiers de recherche 9614, Universite de Montreal, Departement de sciences economiques.
    11. Lamo, Ana & Wasmer, Etienne & Messina, Julián, 2006. "Are Specific Skills an Obstacle to Labour Market Adjustment? Theory and an Application to the EU Enlargement," CEPR Discussion Papers 5503, C.E.P.R. Discussion Papers.
    12. Giovannini, Alberto & Rotemberg, Julio J, 1989. "Exchange-Rate Dynamics with Sticky Prices: The Deutsche Mark, 1974-1982," Journal of Business & Economic Statistics, American Statistical Association, vol. 7(2), pages 169-178, April.
    13. Obstfeld, Maurice, 1982. "Relative Prices, Employment, and the Exchange Rate in an Economy with Foresight," Econometrica, Econometric Society, vol. 50(5), pages 1219-1242, September.
    14. Engel, Charles, 2014. "Exchange Rates and Interest Parity," Handbook of International Economics, in: Gopinath, G. & Helpman, . & Rogoff, K. (ed.), Handbook of International Economics, edition 1, volume 4, chapter 0, pages 453-522, Elsevier.
    15. Karamé, Frédéric & Patureau, Lise & Sopraseuth, Thepthida, 2008. "Limited participation and exchange rate dynamics: Does theory meet the data?," Journal of Economic Dynamics and Control, Elsevier, vol. 32(4), pages 1041-1087, April.
    16. Graziani, Carlo, 1999. "A Simple Procedure for the Numerical Solution of Discrete Time Linear Two-Point Boundary-Value Problems with Finite Horizon and its use for Simulating Discrete Time Linear Models under Perfect Foresig," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 53(1), January.
    17. Murphy, C W, 1988. "An Overview of the Murphy Model," Australian Economic Papers, Wiley Blackwell, vol. 27(0), pages 175-199, Supplemen.
    18. Carlos Rodriguez, 1978. "A simple Keynesian model of inflation and unemployment under rational expectations," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 114(1), pages 1-11, March.
    19. Eric Bleuze, 1988. "L'interdépendance des économies en change flexible : les apports d'une maquette dynamique," Post-Print hal-01304325, HAL.
    20. Dixon, Peter B. & Pearson, K.R. & Picton, Mark R. & Rimmer, Maureen T., 2005. "Rational expectations for large CGE models: A practical algorithm and a policy application," Economic Modelling, Elsevier, vol. 22(6), pages 1001-1019, December.

    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:nbr:nberte:0003. 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.