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Title: Solving the Incomplete Markets Model with Aggregate Uncertainty using Explicit Aggregation

Author(s): Wouter Den Haan and Pontus Rendahl

Publication Date: September 2008

Keyword(s): numerical solutions and projection methods

Programme Area(s): International Macroeconomics

Abstract: We construct a method to solve models with heterogeneous agents and aggregate uncertainty that is simpler than existing algorithms; the aggregate law of motion is obtained neither by simulation nor by parameterization of the cross-sectional distribution, but by explicitly aggregating the individual policy rule. This establishes a link between the individual policy rule and the set of necessary aggregate state variables. In particular, the cross-sectional average of each basis function in the individual policy rule is a state variable. That is, if the individual capital stock, k, (or k²) enters the policy function then the mean of k (or the mean of k²) is a state variable. The laws of motions for these aggregate state variables are obtained by explicit aggregation of separate individual policy functions for the different elements.

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Bibliographic Reference

Den Haan, W and Rendahl, P. 2008. 'Solving the Incomplete Markets Model with Aggregate Uncertainty using Explicit Aggregation'. London, Centre for Economic Policy Research. https://cepr.org/active/publications/discussion_papers/dp.php?dpno=6963