Solving nonlinear rational expectations models by parameterized expectations: convergence to stationary solutions
AbstractThis paper develops the Parameterized Expectations Approach (PEA) for solving nonlinear dynamic stochastic models with rational expectations. The method can be applied to a variety of models, including models with strong nonlinearities, sub-optimal equilibria, and many continuous state variables. In this approach, the conditional expectations in the equilibrium conditions are approximated by finite-dimensional classes of functional forms. The approach is highly efficient computationally because it incorporates endogenous oversampling and Monte-Carlo integration, and it does not impost a discrete grid on the state variables or the stochastic shocks. We prove that PEA can approximate the correct solution with arbitrary accuracy on the ergodic set by increasing the size of the Monte-Carlo simulations and the dimensionality of the approximating family of functions.
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Bibliographic InfoPaper provided by Federal Reserve Bank of Minneapolis in its series Discussion Paper / Institute for Empirical Macroeconomics with number 91.
Date of creation: 1994
Date of revision:
Other versions of this item:
- Albert Marcet & David A. Marshall, 1994. "Solving nonlinear rational expectations models by parameterized expectations: convergence to stationary solutions," Working Paper Series, Macroeconomic Issues 94-20, Federal Reserve Bank of Chicago.
- Albert Marcet & David A. Marshall, 1994. "Solving nonlinear rational expectations models by parameterized expectations: Convergence to stationary solutions," Economics Working Papers 76, Department of Economics and Business, Universitat Pompeu Fabra.
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