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Multiple Shooting in Rational Expectations Models

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Author Info
David Lipton
James M. Poterba
Jeffrey Sachs
Lawrence H. Summers

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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.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Technical Working Papers with number 0003.

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Date of creation: Jun 1983
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Handle: RePEc:nbr:nberte:0003

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  1. Dornbusch, Rudiger, 1976. "Expectations and Exchange Rate Dynamics," Journal of Political Economy, University of Chicago Press, vol. 84(6), pages 1161-76, December. [Downloadable!] (restricted)
  2. 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 539-52, September. [Downloadable!] (restricted)
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  3. Sargent, Thomas J & Wallace, Neil, 1973. "The Stability of Models of Money and Growth with Perfect Foresight," Econometrica, Econometric Society, vol. 41(6), pages 1043-48, November. [Downloadable!] (restricted)
  4. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-11, July. [Downloadable!] (restricted)
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. 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. [Downloadable!] (restricted)
    Other versions:
  2. 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. [Downloadable!] (restricted)
  3. Gilles Oudiz & Jeffrey Sachs, 1984. "International Policy Coordination in Dynamic Macroeconomic Models," NBER Working Papers 1417, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  4. Francisco A. Gallego & Klaus Schmidt-Hebbel & Luis Servén, 2004. "General Equilibrium Dynamics of External Shocks and Policy Changes in Chile," Working Papers Central Bank of Chile 271, Central Bank of Chile. [Downloadable!]
  5. James M. Poterba, 1985. "Inflation, Income Taxes, and Owner-Occupied Housing," NBER Working Papers 0553, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  6. Timothy J. Kehoe & David K. Levine, 1990. "The Economics of Indeterminacy in Overlapping Generations Models," Levine's Working Paper Archive 2193, David K. Levine. [Downloadable!]
    Other versions:
  7. 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. [Downloadable!]
  8. Martin Brunner & Holger Strulik, 1997. "Efficient Techniques to Analyze Transitional Dynamics in Models of Economic Growth," Quantitative Macroeconomics Working Papers 19702, Hamburg University, Department of Economics. [Downloadable!]
  9. Lawrence H. Summers, 1987. "The Asset Price Approach to the Analysis of Capital Income Taxation," NBER Working Papers 1356, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  10. Jeffrey D. Sachs, 1980. "Energy and Growth under Flexible Exchange Rates: A Simulation Study," NBER Working Papers 0582, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  11. 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. [Downloadable!] (restricted)
    Other versions:
  12. 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, Monash University, Centre of Policy Studies/IMPACT Centre. [Downloadable!]
  13. Martin Brunner & Holger Strulik, 1998. "Solution of Perfect Foresight Saddlepoint Problems: A Simple Method and Applications," Quantitative Macroeconomics Working Papers 19805, Hamburg University, Department of Economics. [Downloadable!]
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