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Multiple Shooting in Rational Expectations Models

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

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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File URL: http://www.nber.org/papers/t0003.pdf
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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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Publication status: published as Lipton, D., J. Poterba, J. Sachs, and L. Summers. "Multiple Shooting in Rational Expectations Models." Econometrica, Vol. 50, (1982), pp. 1329-1333.
Handle: RePEc:nbr:nberte:0003
Note: EFG PE
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  1. Ray C. Fair, 1977. "An Analysis of a Macroeconometric Model with Rational Expectationsin the Bond and Stock Markets," Cowles Foundation Discussion Papers 459, Cowles Foundation for Research in Economics, Yale University.
  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. 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.
  4. Dornbusch, Rudiger, 1976. "Expectations and Exchange Rate Dynamics," Journal of Political Economy, University of Chicago Press, vol. 84(6), pages 1161-76, December.
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