IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/10292.html
   My bibliography  Save this paper

Human capital risk in life-cycle economies

Author

Listed:
  • Singh, Aarti

Abstract

I study the effect of market incompleteness on the aggregate economy in a model where agents face idiosyncratic, uninsurable human capital investment risk. The environment is a general equilibrium lifecycle model with a version of a Ben-Porath (1967) human capital accumulation technology, modified to incorporate risk. A CARA-normal specification keeps endogenous decisions independent of individual shock realizations. I study stationary equilibria of calibrated cases in which idiosyncratic uninsurable risk arises from specialization risk and career risk. Specialization risk is such that both mean and variance of the return from training are increasing in the endogenous decision to invest in human capital. In the case of career risk, however, only the mean return is increasing in the decision to invest in human capital. With career risk only, stationary equilibria resemble those studied by Aiyagari (1994), and one concludes that the impact of uninsurable idiosyncratic risk is relatively small. With a significant amount of specialization risk however, stationary equilibria are severely distorted relative to a complete markets benchmark. One aspect of this distortion is that human capital is only about 57 percent as large as its complete markets counterpart. This suggests that the two types of risk have very different and quantitatively significant general equilibrium implications. Keywords: Human capital risk, life-cycle, incomplete markets.

Suggested Citation

  • Singh, Aarti, 2008. "Human capital risk in life-cycle economies," MPRA Paper 10292, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:10292
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/10292/1/MPRA_paper_10292.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Rodolfo E. Manuelli & Ananth Seshadri, 2014. "Human Capital and the Wealth of Nations," American Economic Review, American Economic Association, vol. 104(9), pages 2736-2762, September.
    2. Marcet, Albert & Obiols-Homs, Francesc & Weil, Philippe, 2007. "Incomplete markets, labor supply and capital accumulation," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2621-2635, November.
    3. José-Víctor Ríos-Rull, 1996. "Life-Cycle Economies and Aggregate Fluctuations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(3), pages 465-489.
    4. Pedro Carneiro & Karsten T. Hansen & James J. Heckman, 2003. "Estimating Distributions of Treatment Effects with an Application to the Returns to Schooling and Measurement of the Effects of Uncertainty on College," NBER Working Papers 9546, National Bureau of Economic Research, Inc.
    5. Gomes, Joao & Greenwood, Jeremy & Rebelo, Sergio, 2001. "Equilibrium unemployment," Journal of Monetary Economics, Elsevier, vol. 48(1), pages 109-152, August.
    6. Carneiro, Pedro & Hansen, Karsten T. & Heckman, James J., 2003. "Estimating Distributions of Treatment Effects with an Application to the Returns to Schooling and Measurement of the Effects of Uncertainty on College Choice," IZA Discussion Papers 767, Institute of Labor Economics (IZA).
    7. Grossmann, Volker, 2008. "Risky human capital investment, income distribution, and macroeconomic dynamics," Journal of Macroeconomics, Elsevier, vol. 30(1), pages 19-42, March.
    8. Eaton, Jonathan & Rosen, Harvey S, 1980. "Taxation, Human Capital, and Uncertainty," American Economic Review, American Economic Association, vol. 70(4), pages 705-715, September.
    9. Calvet, Laurent E., 2001. "Incomplete Markets and Volatility," Journal of Economic Theory, Elsevier, vol. 98(2), pages 295-338, June.
    10. Pedro Carneiro & Karsten T. Hansen & James J. Heckman, 2003. "2001 Lawrence R. Klein Lecture Estimating Distributions of Treatment Effects with an Application to the Returns to Schooling and Measurement of the Effects of Uncertainty on College Choice," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(2), pages 361-422, May.
    11. Browning, Martin & Hansen, Lars Peter & Heckman, James J., 1999. "Micro data and general equilibrium models," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 8, pages 543-633, Elsevier.
    12. Angeletos, George-Marios & Calvet, Laurent-Emmanuel, 2006. "Idiosyncratic production risk, growth and the business cycle," Journal of Monetary Economics, Elsevier, vol. 53(6), pages 1095-1115, September.
    13. 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.
    14. 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.
    15. Magill, Michael & Shafer, Wayne, 1991. "Incomplete markets," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 30, pages 1523-1614, Elsevier.
    16. Deaton, Angus & Paxson, Christina, 1994. "Intertemporal Choice and Inequality," Journal of Political Economy, University of Chicago Press, vol. 102(3), pages 437-467, June.
    17. Flavio Cunha & James Heckman & Salvador Navarro, 2005. "Separating uncertainty from heterogeneity in life cycle earnings," Oxford Economic Papers, Oxford University Press, vol. 57(2), pages 191-261, April.
    18. Fatih Guvenen, 2007. "Learning Your Earning: Are Labor Income Shocks Really Very Persistent?," American Economic Review, American Economic Association, vol. 97(3), pages 687-712, June.
    19. Skinner, Jonathan, 1988. "Risky income, life cycle consumption, and precautionary savings," Journal of Monetary Economics, Elsevier, vol. 22(2), pages 237-255, September.
    20. Christiansen, Charlotte & Joensen, Juanna Schroter & Nielsen, Helena Skyt, 2007. "The risk-return trade-off in human capital investment," Labour Economics, Elsevier, vol. 14(6), pages 971-986, December.
    21. Mark Huggett & Gustavo Ventura & Amir Yaron, 2011. "Sources of Lifetime Inequality," American Economic Review, American Economic Association, vol. 101(7), pages 2923-2954, December.
    22. James S. Costain & Michael Reiter, 2004. "Stabilization versus insurance: Welfare effects of procyclical taxation under incomplete markets," Economics Working Papers 890, Department of Economics and Business, Universitat Pompeu Fabra, revised Aug 2005.
    23. Jonathan Heathcote & Kjetil Storesletten & Giovanni L. Violante, 2005. "Two Views of Inequality Over the Life Cycle," Journal of the European Economic Association, MIT Press, vol. 3(2-3), pages 765-775, 04/05.
    24. Carroll, Christopher D. & Holm, Martin B. & Kimball, Miles S., 2021. "Liquidity constraints and precautionary saving," Journal of Economic Theory, Elsevier, vol. 195(C).
    25. James Heckman & Lance Lochner & Christopher Taber, 1998. "Explaining Rising Wage Inequality: Explanations With A Dynamic General Equilibrium Model of Labor Earnings With Heterogeneous Agents," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 1(1), pages 1-58, January.
    26. Tom Krebs, 2003. "Human Capital Risk and Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 118(2), pages 709-744.
    27. Roland Benabou, 2002. "Tax and Education Policy in a Heterogeneous-Agent Economy: What Levels of Redistribution Maximize Growth and Efficiency?," Econometrica, Econometric Society, vol. 70(2), pages 481-517, March.
    28. Ignacio Palacios-Huerta, 2003. "An Empirical Analysis of the Risk Properties of Human Capital Returns," American Economic Review, American Economic Association, vol. 93(3), pages 948-964, June.
    29. James Costain and Michael Reiter, 2001. "Stabilization versus Insurance," Computing in Economics and Finance 2001 161, Society for Computational Economics.
    30. Card, David, 2001. "Estimating the Return to Schooling: Progress on Some Persistent Econometric Problems," Econometrica, Econometric Society, vol. 69(5), pages 1127-1160, September.
    31. Telhado Pereira, Pedro & Silva Martins, Pedro, 2002. "Is there a return-risk link in education?," Economics Letters, Elsevier, vol. 75(1), pages 31-37, March.
    32. repec:hal:wpspec:info:hdl:2441/8623 is not listed on IDEAS
    33. Bewley, Truman, 1977. "The permanent income hypothesis: A theoretical formulation," Journal of Economic Theory, Elsevier, vol. 16(2), pages 252-292, December.
    34. Josep Pijoan-Mas, 2006. "Precautionary Savings or Working Longer Hours?," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(2), pages 326-352, April.
    35. repec:eee:labchp:v:1:y:1986:i:c:p:525-602 is not listed on IDEAS
    36. Huggett, Mark, 1997. "The one-sector growth model with idiosyncratic shocks: Steady states and dynamics," Journal of Monetary Economics, Elsevier, vol. 39(3), pages 385-403, August.
    37. repec:hal:spmain:info:hdl:2441/8623 is not listed on IDEAS
    38. Bullard, James & Feigenbaum, James, 2007. "A leisurely reading of the life-cycle consumption data," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2305-2320, November.
    39. Yoram Ben-Porath, 1967. "The Production of Human Capital and the Life Cycle of Earnings," Journal of Political Economy, University of Chicago Press, vol. 75(4), pages 352-352.
    40. Joop Hartog & Hans van Ophem & Simona Maria Bajdechi, 2004. "How Risky is Investment in Human Capital?," Tinbergen Institute Discussion Papers 04-080/3, Tinbergen Institute.
    41. Joop Hartog & Hans van Ophem & Simona Maria Bajdechi, 2004. "How Risky is Investment in Human Capital?," CESifo Working Paper Series 1261, CESifo.
    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. Yena Park, 2014. "Constrained Efficiency in a Risky Human Capital Model," RCER Working Papers 585, University of Rochester - Center for Economic Research (RCER).
    2. Arpita Chatterjee & Aarti Singh & Tahlee Stone, 2016. "Understanding Wage Inequality in Australia," The Economic Record, The Economic Society of Australia, vol. 92(298), pages 348-360, September.
    3. Alok Kumar, 2019. "Earning Risks, Parental Schooling Investment, and Old-Age Income Support From Children," Department Discussion Papers 1903, Department of Economics, University of Victoria.
    4. Chih-Chin Ho & Ching-Yang Lin & Cheng-Tao Tang, 2013. "How Do Income and Bequest Taxes Affect Income Inequality? The Role of Parental Transfers," Working Papers EMS_2013_10, Research Institute, International University of Japan.

    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. Jonathan Heathcote & Kjetil Storesletten & Giovanni L. Violante, 2009. "Quantitative Macroeconomics with Heterogeneous Households," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 319-354, May.
    2. Grossmann, Volker, 2008. "Risky human capital investment, income distribution, and macroeconomic dynamics," Journal of Macroeconomics, Elsevier, vol. 30(1), pages 19-42, March.
    3. Chaitali Sinha, 2014. "Human Capital and Public Policy," South Asian Journal of Macroeconomics and Public Finance, , vol. 3(1), pages 79-125, June.
    4. Jonathan Heathcote & Kjetil Storesletten & Giovanni L. Violante, 2014. "Consumption and Labor Supply with Partial Insurance: An Analytical Framework," American Economic Review, American Economic Association, vol. 104(7), pages 2075-2126, July.
    5. Mark Huggett & Gustavo Ventura & Amir Yaron, 2011. "Sources of Lifetime Inequality," American Economic Review, American Economic Association, vol. 101(7), pages 2923-2954, December.
    6. Greg Kaplan, 2012. "Inequality and the life cycle," Quantitative Economics, Econometric Society, vol. 3(3), pages 471-525, November.
    7. Feigenbaum James A. & Li Geng, 2012. "Life Cycle Dynamics of Income Uncertainty and Consumption," The B.E. Journal of Macroeconomics, De Gruyter, vol. 12(1), pages 1-49, May.
    8. Fatih Guvenen, 2011. "Macroeconomics with hetereogeneity : a practical guide," Economic Quarterly, Federal Reserve Bank of Richmond, vol. 97(3Q), pages 255-326.
    9. Brodaty, Thomas & Gary-Bobo, Robert J. & Prieto, Ana, 2014. "Do risk aversion and wages explain educational choices?," Journal of Public Economics, Elsevier, vol. 117(C), pages 125-148.
    10. Salvador Navarro, 2011. "Using Observed Choices to Infer Agent's Information: Reconsidering the Importance of Borrowing Constraints, Uncertainty and Preferences in College Attendance," University of Western Ontario, Centre for Human Capital and Productivity (CHCP) Working Papers 20118, University of Western Ontario, Centre for Human Capital and Productivity (CHCP).
    11. Tony Smith & M. Fatih Guvenen, 2007. "Inferring Labor Income Risk from Economic Choices: An Indirect Inference Approach," 2007 Meeting Papers 1024, Society for Economic Dynamics.
    12. Meghir, Costas & Pistaferri, Luigi, 2011. "Earnings, Consumption and Life Cycle Choices," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 4, chapter 9, pages 773-854, Elsevier.
    13. Yang, Guanyi, 2018. "Endogenous Skills and Labor Income Inequality," MPRA Paper 89638, University Library of Munich, Germany.
    14. Magnac, Thierry & Pistolesi, Nicolas & Roux, Sébastien, 2013. "Post schooling human capital investments and the life cycle variance of earnings," IDEI Working Papers 765, Institut d'Économie Industrielle (IDEI), Toulouse.
    15. Job Boerma & Loukas Karabarbounis, 2021. "Inferring Inequality With Home Production," Econometrica, Econometric Society, vol. 89(5), pages 2517-2556, September.
    16. Sánchez-Romero, Miguel & d׳Albis, Hippolyte & Prskawetz, Alexia, 2016. "Education, lifetime labor supply, and longevity improvements," Journal of Economic Dynamics and Control, Elsevier, vol. 73(C), pages 118-141.
    17. Lochner, Lance & Park, Youngmin, 2024. "Earnings dynamics and intergenerational transmission of skill," Journal of Econometrics, Elsevier, vol. 243(1).
    18. Tom Krebs, 2006. "Recursive equilibrium in endogenous growth models with incomplete markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(3), pages 505-523, November.
    19. Salvador Navarro & Jin Zhou, 2017. "Identifying Agent's Information Sets: an Application to a Lifecycle Model of Schooling, Consumption, and Labor Supply," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 25, pages 58-92, April.
    20. Salvador Navarro & Jin Zhou, 2017. "Identifying Agent's Information Sets: an Application to a Lifecycle Model of Schooling, Consumption, and Labor Supply," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 25, pages 58-92, April.

    More about this item

    Keywords

    human capital risk; life-cycle; incomplete markets.;
    All these keywords.

    JEL classification:

    • E24 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution; Aggregate Human Capital; Aggregate Labor Productivity
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • E20 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - General (includes Measurement and Data)

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:pra:mprapa:10292. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.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.