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Computational Economics

, Volume 15, Issue 1–2, pp 25–57 | Cite as

Solution of Nonlinear Rational Expectations Models with Applications toFinite-Horizon Life-Cycle Models of Consumption

  • Michael Binder
  • M. Hashem Pesaran
  • S. Hossein Samiei
Article

Abstract

This paper considers the solution of nonlinear rationalexpectations models resulting from the optimality conditions of afinite-horizon intertemporal optimization problem satisfying Bellman'sprinciple of optimality (and possibly involving inequality constraints). Abackward recursive procedure is used to characterize and solve thetime-varying optimal decision rules generally associated with these models.At each stage of these backward recursions, either an analytical ornumerical solution of the optimality conditions is required. When ananalytical solution is not possible, a minimum weighted residual approach isused. The solution technique is illustrated using a life-cycle model ofconsumption under labor income and interest rate uncertainties (and possiblyinvolving liquidity constraints). Approximate numerical solutions areprovided and compared with certainty-equivalent solutions and, whenpossible, with exact solutions.

nonlinear rational expectations models intertemporal consumer choice minimum weighted residual method exact and certainty-equivalent solutions 

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Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • Michael Binder
    • 1
  • M. Hashem Pesaran
    • 2
  • S. Hossein Samiei
    • 3
  1. 1.Department of EconomicsUniversity of Maryland, Tydings Hall, CollegeParkU.S.A.
  2. 2.Faculty of Economics and PoliticsUniversity of CambridgeCambridgeU.K.
  3. 3.International Monetary FundWashingtonU.S.A.

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