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Identification and estimation of heterogeneous agent models: A likelihood approach

Juan Carlos Parra-Alvarez (), Olaf Posch () and Mu-Chun Wang
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Juan Carlos Parra-Alvarez: Aarhus University and CREATES, Postal: Department of Economics and Business Economics, Fuglesangs Allé 4, 8210 Aarhus V, Denmark

CREATES Research Papers from Department of Economics and Business Economics, Aarhus University

Abstract: In this paper, we study the statistical properties of heterogeneous agent models with incomplete markets. Using a Bewley-Hugget-Aiyagari model we compute the equilibrium density function of wealth and show how it can be used for likelihood inference. We investigate the identifiability of the model parameters based on data representing a large cross-section of individual wealth. We also study the finite sample properties of the maximum likelihood estimator using Monte Carlo experiments. Our results suggest that while the parameters related to the household's preferences can be correctly identified and accurately estimated, the parameters associated with the supply side of the economy cannot be separately identified leading to inferential problems that persist even in large samples. In the presence of partially identification problems, we show that an empirical strategy based on fixing the value of one of the troublesome parameters allows us to pin down the other unidentified parameter without compromising the estimation of the remaining parameters of the model. An empirical illustration of our maximum likelihood framework using the 2013 SCF data for the U.S. confirms the results from our identification experiments.

Keywords: Heterogeneous agent models; Continuous-time; Fokker-Planck equations; Identification; Maximum likelihood (search for similar items in EconPapers)
JEL-codes: C10 C13 C63 E21 E24 (search for similar items in EconPapers)
Pages: 41
Date: 2017-10-17
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