Computing Stochastic Dynamic Economic Models with a Large Number of State Variables: A Description and Application of a Smolyak-Collocation Method
We describe a sparse grid collocation algorithm to compute recursive solutions of dynamic economies with a sizable number of state variables. We show how powerful this method may be in applications by computing the nonlinear recursive solution of an international real business cycle model with a substantial number of countries, complete insurance markets and frictions that impede frictionless international capital flows. In this economy the aggregate state vector includes the distribution of world capital across different countries as well as the exogenous country-specific technology shocks. We use the algorithm to efficiently solve models with 2, 4, and 6 countries (i.e., up to 12 continuous state variables).
|Date of creation:||Oct 2007|
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- Backus, David K & Kehoe, Patrick J & Kydland, Finn E, 1992.
"International Real Business Cycles,"
Journal of Political Economy,
University of Chicago Press, vol. 100(4), pages 745-775, August.
- David K. Backus & Patrick J. Kehoe & Finn E. Kydland, 1987. "International real business cycles," Working Papers 426, Federal Reserve Bank of Minneapolis.
- David K. Backus & Patrick J. Kehoe & Finn E. Kydland, 1991. "International real business cycles," Staff Report 146, Federal Reserve Bank of Minneapolis.
- Krueger, Dirk & Kubler, Felix, 2004. "Computing equilibrium in OLG models with stochastic production," Journal of Economic Dynamics and Control, Elsevier, vol. 28(7), pages 1411-1436, April.
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