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Estimation of heterogeneous agent models: A likelihood approach

Author

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  • Parra-Alvarez, Juan Carlos
  • Posch, Olaf
  • Wang, Mu-Chun

Abstract

We study the statistical properties of heterogeneous agent models. Using aBewley-Hugget-Aiyagari model we compute the density function of wealth and in-come and use it for likelihood inference. We study the finite sample properties of themaximum likelihood estimator (MLE) using Monte Carlo experiments on artificialcross-sections of wealth and income. We propose to use the Kullback-Leibler diver-gence to investigate identification problems that may affect inference. Our resultssuggest that the unrestricted MLE leads to considerable biases of some parameters.Calibrating weakly identified parameters allows to pin down the other unidentifiedparameter without compromising the estimation of the remaining parameters. Weillustrate our approach by estimating the model for the U.S. economy using wealthand income data from the Survey of Consumer Finances.

Suggested Citation

  • Parra-Alvarez, Juan Carlos & Posch, Olaf & Wang, Mu-Chun, 2020. "Estimation of heterogeneous agent models: A likelihood approach," Discussion Papers 42/2020, Deutsche Bundesbank.
  • Handle: RePEc:zbw:bubdps:422020
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    1. Brant Abbott & Giovanni Gallipoli & Costas Meghir & Giovanni L. Violante, 2019. "Education Policy and Intergenerational Transfers in Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 127(6), pages 2569-2624.
    2. Ken Sennewald & Klaus Wälde, 2006. "“Itô's Lemma” and the Bellman Equation for Poisson Processes: An Applied View," Journal of Economics, Springer, vol. 89(1), pages 1-36, October.
    3. Mi Luo & Simon Mongey, 2019. "Assets and Job Choice: Student Debt, Wages and Amenities," NBER Working Papers 25801, National Bureau of Economic Research, Inc.
    4. Juan Carlos Parra-Alvarez & Olaf Posch & Mu-Chun Wang, 2017. "Estimation of Heterogeneous Agent Models: A Likelihood Approach," CESifo Working Paper Series 6717, CESifo.
    5. Ríos-Rull, José-Víctor & Schorfheide, Frank & Fuentes-Albero, Cristina & Kryshko, Maxym & Santaeulàlia-Llopis, Raül, 2012. "Methods versus substance: Measuring the effects of technology shocks," Journal of Monetary Economics, Elsevier, vol. 59(8), pages 826-846.
    6. Hoang Khieu & Klaus Wälde, 2019. "Capital Income Risk and the Dynamics of the Wealth Distribution," CESifo Working Paper Series 7970, CESifo.
    7. Serdar Ozkan & Kurt Mitman & Fatih Karahan & Aaron Hedlund, 2016. "Monetary Policy, Heterogeneity and the Housing Channel," 2016 Meeting Papers 663, Society for Economic Dynamics.
    8. SeHyoun Ahn & Greg Kaplan & Benjamin Moll & Thomas Winberry & Christian Wolf, 2018. "When Inequality Matters for Macro and Macro Matters for Inequality," NBER Macroeconomics Annual, University of Chicago Press, vol. 32(1), pages 1-75.
    9. Khieu, Hoang & Wälde, Klaus, 2018. "Capital Income Risk and the Dynamics of the Wealth Distribution," IZA Discussion Papers 11840, Institute of Labor Economics (IZA).
    10. Arlene Wong, 2016. "Population aging and the transmission of monetary policy to consumption," 2016 Meeting Papers 716, Society for Economic Dynamics.
    11. Jess Benhabib & Alberto Bisin & Mi Luo, 2019. "Wealth Distribution and Social Mobility in the US: A Quantitative Approach," American Economic Review, American Economic Association, vol. 109(5), pages 1623-1647, May.
    12. Heer, Burkhard & Trede, Mark, 2003. "Efficiency and distribution effects of a revenue-neutral income tax reform," Journal of Macroeconomics, Elsevier, vol. 25(1), pages 87-107, March.
    13. Díaz-Giménez, Javier & Pijoan-Mas, Josep, 2011. "Flat Tax Reforms: Investment Expensing and Progressivity," CEPR Discussion Papers 8238, C.E.P.R. Discussion Papers.
    14. R. F. Engle & D. McFadden (ed.), 1986. "Handbook of Econometrics," Handbook of Econometrics, Elsevier, edition 1, volume 4, number 4.
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    Cited by:

    1. Hoang Khieu & Klaus Wälde, 2018. "Capital Income Risk and the Dynamics of the Wealth Distribution," Working Papers 1814, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    2. Lukasz Balbusy & Pawel Dziewulskiz & Kevin Reffett & Lukasz Wozny, 2020. "Markov distributional equilibrium dynamics in games with complementarities and no aggregate risk," Working Paper Series 1320, Department of Economics, University of Sussex Business School.
    3. Juan Carlos Parra-Alvarez & Olaf Posch & Mu-Chun Wang, 2017. "Estimation of Heterogeneous Agent Models: A Likelihood Approach," CESifo Working Paper Series 6717, CESifo.
    4. Yves Achdou & Jiequn Han & Jean-Michel Lasry & Pierre-Louis Lions & Benjamin Moll, 2017. "Income and Wealth Distribution in Macroeconomics: A Continuous-Time Approach," NBER Working Papers 23732, National Bureau of Economic Research, Inc.
    5. Fischer, Thomas, 2019. "Determinants of Wealth Inequality and Mobility in General Equilibrium," Working Papers 2019:22, Lund University, Department of Economics.
    6. Glawion, Rene & Puche, Marc & Haller, Frédéric, 2020. "A General Equilibrium Model of Earnings, Income, and Wealth," VfS Annual Conference 2020 (Virtual Conference): Gender Economics 224580, Verein für Socialpolitik / German Economic Association.

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    More about this item

    Keywords

    Heterogeneous agent models; Continuous-time; Fokker-Planck equations; Kullback-Leibler divergence; Maximum likelihood;
    All these keywords.

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • E24 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution; Aggregate Human Capital; Aggregate Labor Productivity

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