IDEAS home Printed from https://ideas.repec.org/p/zbw/esrepo/142159.html

Application of Monte Carlo Methods: Computing Heterogeneous Agent Models Without Aggregate Uncertainty

Author

Listed:
  • Vasilev, Aleksandar

Abstract

In this paper we solve the benchmark heterogeneous agents model by Aiyagari (1994) using Monte Carlo methods. In addition, the idiosyncratic shocks process is approximated using Tauchen's (1986) method. This we go beyond the 2 by 2 Markov matrix approximation of the AR(1) stochastic process. The code is written in MATLAB. The computation time is much faster than the one written by Heer and Maussner (2008) in FORTRAN. This model also solves Mehra-Prescott's puzzle and generates a risk-free interest rate that is much closer to the one we observe in data.

Suggested Citation

  • Vasilev, Aleksandar, 2009. "Application of Monte Carlo Methods: Computing Heterogeneous Agent Models Without Aggregate Uncertainty," EconStor Research Reports 142159, ZBW - Leibniz Information Centre for Economics.
    • Handle: RePEc:zbw:esrepo:142159
    as

    Download full text from publisher

    File URL: https://www.econstor.eu/bitstream/10419/142159/1/metrix%20paper_Vasilev.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, vol. 20(2), pages 177-181.
    2. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(3), pages 659-684.
    3. Huggett, Mark, 1993. "The risk-free rate in heterogeneous-agent incomplete-insurance economies," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 953-969.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Alisdair McKay, 2011. "Household Saving Behavior and Social Security Privatization," Boston University - Department of Economics - Working Papers Series WP2011-027, Boston University - Department of Economics.
    2. Marta González-Torrabadella & Josep Pijoan-Mas, 2006. "Flat tax reforms: a general equilibrium evaluation for Spain," Investigaciones Economicas, Fundación SEPI, vol. 30(2), pages 317-351, May.
    3. Tanaka, Ken'ichiro & Toda, Alexis Akira, 2015. "Discretizing Distributions with Exact Moments: Error Estimate and Convergence Analysis," University of California at San Diego, Economics Working Paper Series qt7g23r5kh, Department of Economics, UC San Diego.
    4. Lopez-Daneri, Martin, 2016. "NIT picking: The macroeconomic effects of a Negative Income Tax," Journal of Economic Dynamics and Control, Elsevier, vol. 68(C), pages 1-16.
    5. Zhen Huo & Jose-Victor Rios-Rull, 2015. "Tightening Financial Frictions on Households, Recessions, and Price Reallocations," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 18(1), pages 118-139, January.
    6. Clemens, Christiane & Heinemann, Maik, 2019. "The Effects Of International Financial Integration In A Model With Heterogeneous Firms And Credit Frictions," Macroeconomic Dynamics, Cambridge University Press, vol. 23(7), pages 2815-2844, October.
    7. Lütticke, Ralph & Bayer, Christian & Pham, Lien & Tjaden, Volker, 2013. "Household Income Risk, Nominal Frictions, and Incomplete Markets," VfS Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79868, Verein für Socialpolitik / German Economic Association.
    8. Keyvan Eslami & Thomas Phelan, 2025. "The Art of Temporal Approximation: An Investigation into Numerical Solutions to Discrete- and Continuous-Time Problems in Economics," Computational Economics, Springer;Society for Computational Economics, vol. 65(3), pages 1505-1547, March.
    9. Tiago Berriel & Rodrigo Abreu, 2015. "Long Term Debt and Credit Crisis in a Liquidity Constrained Economy," Textos para discussão 644, Department of Economics PUC-Rio (Brazil).
    10. Kim, Jiseob & Wang, Yicheng, 2018. "Macroeconomic and distributional effects of mortgage guarantee programs for the poor," Journal of Economic Dynamics and Control, Elsevier, vol. 87(C), pages 124-151.
    11. Veronica Guerrieri & Guido Lorenzoni, 2017. "Credit Crises, Precautionary Savings, and the Liquidity Trap," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 132(3), pages 1427-1467.
    12. Matteo Iacoviello, 2008. "Household Debt and Income Inequality, 1963–2003," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 40(5), pages 929-965, August.
    13. Hui He & Lei Ning & Dongming Zhu, 2019. "The Impact of Rapid Aging and Pension Reform on Savings and the Labor Supply," IMF Working Papers 2019/061, International Monetary Fund.
    14. José Victor Rios-Rull, 2002. "Desigualdad, ¿qué sabemos?," Investigaciones Economicas, Fundación SEPI, vol. 26(2), pages 221-254, May.
    15. Jung, Juergen & Tran, Chung, 2022. "Social health insurance: A quantitative exploration," Journal of Economic Dynamics and Control, Elsevier, vol. 139(C).
    16. Juan Rojas & Carlos Urrutia, 2004. "Social Security Reform with Uninsurable Income Risk and Endogenous Borrowing Constraints," Macroeconomics 0410010, University Library of Munich, Germany.
    17. Yongsung Chang & Yena Park, 2021. "Optimal Taxation with Private Insurance [Uninsured Idiosyncratic Risk and Aggregate Saving]," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(6), pages 2766-2798.
    18. Robert Kirkby Author-Email: robertkirkby@gmail.com|, 2017. "Convergence of Discretized Value Function Iteration," Computational Economics, Springer;Society for Computational Economics, vol. 49(1), pages 117-153, January.
    19. Anagnostopoulos Alexis & Tang Xin, 2015. "Evaluating linear approximations in a two-country model with occasionally binding borrowing constraints," The B.E. Journal of Macroeconomics, De Gruyter, vol. 15(1), pages 43-91, January.
    20. Wenli Li & Pierre-Daniel G. Sarte, 2002. "The macroeconomics of U.S. consumer bankruptcy choice : chapter 7 or chapter 13?," Working Paper 02-01, Federal Reserve Bank of Richmond.

    More about this item

    Keywords

    ;
    ;

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:zbw:esrepo:142159. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ZBW - Leibniz Information Centre for Economics (email available below). General contact details of provider: https://edirc.repec.org/data/zbwkide.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.