IDEAS home Printed from https://ideas.repec.org/a/red/issued/17-149.html
   My bibliography  Save this article

Markov-Chain Approximations for Life-Cycle Models

Author

Listed:
  • Giulio Fella

    (Queen Mary University London)

  • Giovanni Gallipoli

    (University of British Columbia)

  • Jutong Pan

    (Analysis Group)

Abstract

Non-stationary income processes are standard in quantitative life-cycle models, prompted by the observation that within-cohort income inequality increases with age. This paper generalizes Tauchen (1986), Adda and Cooper (2003), and Rouwenhorst's (1995) discretization methods to non-stationary AR(1) processes. We evaluate the performance of these methods in the context of a canonical life-cycle, income-fluctuation problem with a non-stationary income process. We also examine the case in which innovations to the persistent component of earnings are modeled as draws from a mixture of Normal distributions. We find that the generalized Rouwenhorst method performs consistently better than the others even with a relatively small number of states. (Copyright: Elsevier)

Suggested Citation

  • Giulio Fella & Giovanni Gallipoli & Jutong Pan, . "Markov-Chain Approximations for Life-Cycle Models," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics.
  • Handle: RePEc:red:issued:17-149
    DOI: 10.1016/j.red.2019.03.013
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1016/j.red.2019.03.013
    Download Restriction: Access to full texts is restricted to ScienceDirect subscribers and institutional members. See http://www.sciencedirect.com/ for details.

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Mariacristina De Nardi & Giulio Fella & Gonzalo Paz-Pardo, 2018. "Nonlinear household earnings dynamics, self-insurance, and welfare," Discussion Papers 1817, Centre for Macroeconomics (CFM).
    2. Marco Cagetti & Mariacristina De Nardi, 2006. "Entrepreneurship, Frictions, and Wealth," Journal of Political Economy, University of Chicago Press, vol. 114(5), pages 835-870, October.
    3. Greg Kaplan, 2012. "Inequality and the life cycle," Quantitative Economics, Econometric Society, vol. 3(3), pages 471-525, November.
    4. Carroll, Christopher D., 2009. "Precautionary saving and the marginal propensity to consume out of permanent income," Journal of Monetary Economics, Elsevier, vol. 56(6), pages 780-790, September.
    5. Karen Kopecky & Richard Suen, 2010. "Finite State Markov-chain Approximations to Highly Persistent Processes," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 13(3), pages 701-714, July.
    6. Brant Abbott & Giovanni Gallipoli & Costas Meghir & Giovanni L. Violante, 2013. "Education Policy and Intergenerational Transfers in Equilibrium," Working Paper series 15_13, Rimini Centre for Economic Analysis.
    7. Tauchen, George & Hussey, Robert, 1991. "Quadrature-Based Methods for Obtaining Approximate Solutions to Nonlinear Asset Pricing Models," Econometrica, Econometric Society, vol. 59(2), pages 371-396, March.
    8. Christopher D. Carroll, 2004. "Theoretical Foundations of Buffer Stock Saving," Economics Working Paper Archive 517, The Johns Hopkins University,Department of Economics.
    9. Conesa, Juan Carlos & Krueger, Dirk, 2006. "On the optimal progressivity of the income tax code," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1425-1450, October.
    10. Mariacristina De Nardi, 2004. "Wealth Inequality and Intergenerational Links," Review of Economic Studies, Oxford University Press, vol. 71(3), pages 743-768.
    11. Deaton, Angus & Paxson, Christina, 1994. "Intertemporal Choice and Inequality," Journal of Political Economy, University of Chicago Press, vol. 102(3), pages 437-467, June.
    12. Jonathan Heathcote & Kjetil Storesletten & Giovanni L. Violante, 2017. "Optimal Tax Progressivity: An Analytical Framework," The Quarterly Journal of Economics, Oxford University Press, vol. 132(4), pages 1693-1754.
    13. Kjetil Storesletten & Chris I. Telmer & Amir Yaron, 2004. "Cyclical Dynamics in Idiosyncratic Labor Market Risk," Journal of Political Economy, University of Chicago Press, vol. 112(3), pages 695-717, June.
    14. Jerome Adda & Russell W. Cooper, 2003. "Dynamic Economics: Quantitative Methods and Applications," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262012014, January.
    15. den Haan, Wouter J & Marcet, Albert, 1990. "Solving the Stochastic Growth Model by Parameterizing Expectations," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(1), pages 31-34, January.
    16. Barillas, Francisco & Fernandez-Villaverde, Jesus, 2007. "A generalization of the endogenous grid method," Journal of Economic Dynamics and Control, Elsevier, vol. 31(8), pages 2698-2712, August.
    17. Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, vol. 20(2), pages 177-181.
    18. Blundell, Richard & Graber, Michael & Mogstad, Magne, 2015. "Labor income dynamics and the insurance from taxes, transfers, and the family," Journal of Public Economics, Elsevier, vol. 127(C), pages 58-73.
    19. Storesletten, Kjetil & Telmer, Christopher I. & Yaron, Amir, 2004. "Consumption and risk sharing over the life cycle," Journal of Monetary Economics, Elsevier, vol. 51(3), pages 609-633, April.
    20. Fatih Guvenen & Serdar Ozkan & Jae Song, 2014. "The Nature of Countercyclical Income Risk," Journal of Political Economy, University of Chicago Press, vol. 122(3), pages 621-660.
    21. Carroll, Christopher D., 2006. "The method of endogenous gridpoints for solving dynamic stochastic optimization problems," Economics Letters, Elsevier, vol. 91(3), pages 312-320, June.
    22. Manuel Arellano & Richard Blundell & Stéphane Bonhomme, 2017. "Earnings and Consumption Dynamics: A Nonlinear Panel Data Framework," Econometrica, Econometric Society, vol. 85, pages 693-734, May.
    23. Abowd, John M & Card, David, 1989. "On the Covariance Structure of Earnings and Hours Changes," Econometrica, Econometric Society, vol. 57(2), pages 411-445, March.
    24. Fatih Karahan & Serdar Ozkan, 2013. "On the Persistence of Income Shocks over the Life Cycle: Evidence, Theory, and Implications," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 16(3), pages 452-476, July.
    25. Dirk Krueger & Alexander Ludwig, 2013. "Optimal Progressive Labor Income Taxation and Education Subsidies When Education Decisions and Intergenerational Transfers Are Endogenous," American Economic Review, American Economic Association, vol. 103(3), pages 496-501, May.
    26. repec:aea:aecrev:v:108:y:2018:i:3:p:697-743 is not listed on IDEAS
    27. Huggett, Mark, 1996. "Wealth distribution in life-cycle economies," Journal of Monetary Economics, Elsevier, vol. 38(3), pages 469-494, December.
    28. repec:eee:moneco:v:88:y:2017:i:c:p:1-14 is not listed on IDEAS
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Mariacristina De Nardi & Giulio Fella & Gonzalo Paz-Pardo, 2018. "Nonlinear household earnings dynamics, self-insurance, and welfare," Discussion Papers 1817, Centre for Macroeconomics (CFM).

    More about this item

    Keywords

    Numerical methods; Finite-state approximations;

    JEL classification:

    • C36 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Instrumental Variables (IV) Estimation

    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:red:issued:17-149. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Christian Zimmermann). General contact details of provider: http://edirc.repec.org/data/sedddea.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.