IDEAS home Printed from https://ideas.repec.org/a/eee/jmacro/v45y2015icp300-317.html
   My bibliography  Save this article

Endogenous growth and wealth inequality under incomplete markets and idiosyncratic risk

Author

Listed:
  • Clemens, Christiane
  • Heinemann, Maik

Abstract

This paper describes the equilibrium properties and dynamics of a model which combines the key features of the standard incomplete market model (Aiyagari, 1994) with a standard endogenous growth mechanism to gain a deeper understanding of the feedback effects between growth and wealth inequality in the presence of credit frictions and idiosyncratic risk. We characterize growth equilibria and find that a balanced growth path not necessarily exists if households are subject to ad hoc borrowing constraints. Growth, inequality, and risk are positively related in our model, but we also identify a hump-shaped relationship between welfare and risk, indicating a tradeoff relationship between risk-pooling and growth in the determination of welfare. The growth rate responds to changes in the wealth distribution and displays transitional dynamics towards the balanced growth path.

Suggested Citation

  • Clemens, Christiane & Heinemann, Maik, 2015. "Endogenous growth and wealth inequality under incomplete markets and idiosyncratic risk," Journal of Macroeconomics, Elsevier, vol. 45(C), pages 300-317.
  • Handle: RePEc:eee:jmacro:v:45:y:2015:i:c:p:300-317
    DOI: 10.1016/j.jmacro.2015.05.008
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0164070415000713
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.jmacro.2015.05.008?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

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

    References listed on IDEAS

    as
    1. Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-1037, October.
    2. Bertola, Giuseppe, 1993. "Factor Shares and Savings in Endogenous Growth," American Economic Review, American Economic Association, vol. 83(5), pages 1184-1198, December.
    3. Prescott, Edward C., 1986. "Theory ahead of business-cycle measurement," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 25(1), pages 11-44, January.
    4. Clemens, Christiane & Soretz, Susanne, 1999. "Konsequenzen des Zins- und Einkommensrisikos auf das wirtschaftliche Wachstum," Hannover Economic Papers (HEP) dp-221, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    5. Obstfeld, Maurice, 1994. "Risk-Taking, Global Diversification, and Growth," American Economic Review, American Economic Association, vol. 84(5), pages 1310-1329, December.
    6. Aiyagari, S. Rao & McGrattan, Ellen R., 1998. "The optimum quantity of debt," Journal of Monetary Economics, Elsevier, vol. 42(3), pages 447-469, October.
    7. Christiane Clemens, 2004. "Status, Risk-Taking and Intertemporal Substitution in an Endogenous Growth Model," Journal of Economics, Springer, vol. 83(2), pages 103-123, November.
    8. Philippe Weil, 1990. "Nonexpected Utility in Macroeconomics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(1), pages 29-42.
    9. Jonathan Heathcote, 2005. "Fiscal Policy with Heterogeneous Agents and Incomplete Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(1), pages 161-188.
    10. Turnovsky, Stephen J, 1993. "Macroeconomic Policies, Growth, and Welfare in a Stochastic Economy," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(4), pages 953-981, November.
    11. Stephen P. Zeldes, 1989. "Optimal Consumption with Stochastic Income: Deviations from Certainty Equivalence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(2), pages 275-298.
    12. Alberto Alesina & Dani Rodrik, 1994. "Distributive Politics and Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(2), pages 465-490.
    13. Banerjee, Abhijit V & Newman, Andrew F, 1993. "Occupational Choice and the Process of Development," Journal of Political Economy, University of Chicago Press, vol. 101(2), pages 274-298, April.
    14. Larry G. Epstein & Stanley E. Zin, 2013. "Substitution, risk aversion and the temporal behavior of consumption and asset returns: A theoretical framework," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 12, pages 207-239, World Scientific Publishing Co. Pte. Ltd..
    15. Christopher D. Carroll & Andrew A. Samwick, 1998. "How Important Is Precautionary Saving?," The Review of Economics and Statistics, MIT Press, vol. 80(3), pages 410-419, August.
    16. Hall, Robert E, 1988. "Intertemporal Substitution in Consumption," Journal of Political Economy, University of Chicago Press, vol. 96(2), pages 339-357, April.
    17. 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.
    18. Cecilia Garcia-Penalosa & Eve Caroli & Philippe Aghion, 1999. "Inequality and Economic Growth: The Perspective of the New Growth Theories," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1615-1660, December.
    19. Oded Galor & Joseph Zeira, 1993. "Income Distribution and Macroeconomics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(1), pages 35-52.
    20. Floden, Martin, 2001. "The effectiveness of government debt and transfers as insurance," Journal of Monetary Economics, Elsevier, vol. 48(1), pages 81-108, August.
    21. 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.
    22. Carroll, Christopher D. & Samwick, Andrew A., 1997. "The nature of precautionary wealth," Journal of Monetary Economics, Elsevier, vol. 40(1), pages 41-71, September.
    23. Bommier, Antoine & Chassagnon, Arnold & Le Grand, François, 2012. "Comparative risk aversion: A formal approach with applications to saving behavior," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1614-1641.
    24. Philippe Weil, 1993. "Precautionary Savings and the Permanent Income Hypothesis," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(2), pages 367-383.
    25. Ana Castaneda & Javier Diaz-Gimenez & Jose-Victor Rios-Rull, 2003. "Accounting for the U.S. Earnings and Wealth Inequality," Journal of Political Economy, University of Chicago Press, vol. 111(4), pages 818-857, August.
    26. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    27. Skinner, Jonathan, 1988. "Risky income, life cycle consumption, and precautionary savings," Journal of Monetary Economics, Elsevier, vol. 22(2), pages 237-255, September.
    28. Clemens Christiane, 2009. "Stochastic Growth and Factor Income Risk," German Economic Review, De Gruyter, vol. 10(4), pages 422-447, December.
    29. Martin Floden & Jesper Lindé, 2001. "Idiosyncratic Risk in the United States and Sweden: Is There a Role for Government Insurance?," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(2), pages 406-437, July.
    30. Greenwood, Jeremy & Jovanovic, Boyan, 1990. "Financial Development, Growth, and the Distribution of Income," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 1076-1107, October.
    31. Epstein, Larry G & Zin, Stanley E, 1991. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: An Empirical Analysis," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 263-286, April.
    32. Antoine Bommier & Arnold Chassagnon & François Le Grand, 2012. "Comparative risk aversion: A formal approach with applications to saving behavior," PSE-Ecole d'économie de Paris (Postprint) halshs-00754583, HAL.
    33. David Domeij & Jonathan Heathcote, 2004. "On The Distributional Effects Of Reducing Capital Taxes," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(2), pages 523-554, May.
    34. repec:dau:papers:123456789/10091 is not listed on IDEAS
    35. 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.
    36. Persson, Torsten & Tabellini, Guido, 1992. "Growth, distribution and politics," European Economic Review, Elsevier, vol. 36(2-3), pages 593-602, April.
    37. Tullio Jappelli & Marco Pagano, 1994. "Saving, Growth, and Liquidity Constraints," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(1), pages 83-109.
    38. Tom Krebs, 2003. "Growth and Welfare Effects of Business Cycles in Economies with Idiosyncratic Human Capital Risk," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(4), pages 846-868, October.
    39. Antoine Bommier & Arnold Chassagnon & François Le Grand, 2012. "Comparative risk aversion: A formal approach with applications to saving behavior," Post-Print halshs-00754583, HAL.
    40. Krueger, Dirk & Perri, Fabrizio, 2011. "Public versus private risk sharing," Journal of Economic Theory, Elsevier, vol. 146(3), pages 920-956, May.
    41. Barro, Robert J, 1990. "Government Spending in a Simple Model of Endogenous Growth," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 103-126, October.
    42. 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.
    43. King, Robert G. & Rebelo, Sergio T., 1999. "Resuscitating real business cycles," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 14, pages 927-1007, Elsevier.
    44. Valerie R. Bencivenga & Bruce D. Smith, 1991. "Financial Intermediation and Endogenous Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(2), pages 195-209.
    45. Caballero, Ricardo J., 1990. "Consumption puzzles and precautionary savings," Journal of Monetary Economics, Elsevier, vol. 25(1), pages 113-136, January.
    46. Fatih Guvenen, 2009. "An Empirical Investigation of Labor Income Processes," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 12(1), pages 58-79, January.
    47. Obstfeld, Maurice, 1994. "Evaluating risky consumption paths: The role of intertemporal substitutability," European Economic Review, Elsevier, vol. 38(7), pages 1471-1486, August.
    48. Bewley, Truman, 1983. "A Difficulty with the Optimum Quantity of Money," Econometrica, Econometric Society, vol. 51(5), pages 1485-1504, September.
    49. Ramey, Garey & Ramey, Valerie A, 1995. "Cross-Country Evidence on the Link between Volatility and Growth," American Economic Review, American Economic Association, vol. 85(5), pages 1138-1151, December.
    50. Storesletten, Kjetil & Telmer, Chris I. & Yaron, Amir, 1999. "The risk-sharing implications of alternative social security arrangements," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 50(1), pages 213-259, June.
    51. 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.
    52. Aiyagari, S Rao, 1995. "Optimal Capital Income Taxation with Incomplete Markets, Borrowing Constraints, and Constant Discounting," Journal of Political Economy, University of Chicago Press, vol. 103(6), pages 1158-1175, December.
    53. Larry E. Jones & Rodolfo E. Manuelli & Henry E. Siu, 2005. "Fluctuations in Convex Models of Endogenous Growth II: Business Cycle Properties," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(4), pages 805-828, October.
    54. Christopher D. Carroll, 1997. "Buffer-Stock Saving and the Life Cycle/Permanent Income Hypothesis," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(1), pages 1-55.
    55. Javier Diaz-Gimenez & Andrew Glover & José-Víctor Ríos-Rull, 2011. "Facts on the distributions of earnings, income, and wealth in the United States: 2007 update," Quarterly Review, Federal Reserve Bank of Minneapolis.
    56. Hubbard, R. Glenn & Skinner, Jonathan & Zeldes, Stephen P., 1994. "The importance of precautionary motives in explaining individual and aggregate saving," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 40(1), pages 59-125, June.
    57. Heaton, John & Lucas, Deborah J, 1996. "Evaluating the Effects of Incomplete Markets on Risk Sharing and Asset Pricing," Journal of Political Economy, University of Chicago Press, vol. 104(3), pages 443-487, June.
    58. Hayne E. Leland, 1968. "Saving and Uncertainty: The Precautionary Demand for Saving," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 82(3), pages 465-473.
    59. Jappelli, Tullio & Pagano, Marco, 1999. "The Welfare Effects of Liquidity Constraints," Oxford Economic Papers, Oxford University Press, vol. 51(3), pages 410-430, July.
    60. Christiane Clemens, 2009. "Stochastic Growth and Factor Income Risk," German Economic Review, Verein für Socialpolitik, vol. 10(4), pages 422-447, November.
    61. 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.
    62. Larry E. Jones & Rodolfo E. Manuelli & Henry E. Siu & Ennio Stacchetti, 2005. "Fluctuations in Convex Models of Endogenous Growth I: Growth Effects," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(4), pages 780-804, October.
    63. Kormendi, Roger C. & Meguire, Philip G., 1985. "Macroeconomic determinants of growth: Cross-country evidence," Journal of Monetary Economics, Elsevier, vol. 16(2), pages 141-163, September.
    64. Antoine Bommier & Arnold Chassagnon & François Le Grand, 2012. "Comparative risk aversion : A formal approach with applications to saving behavior," Post-Print hal-02312602, HAL.
    65. Smith, William T., 1996. "Taxes, uncertainty, and long-term growth," European Economic Review, Elsevier, vol. 40(8), pages 1647-1664, November.
    66. Kreps, David M & Porteus, Evan L, 1978. "Temporal Resolution of Uncertainty and Dynamic Choice Theory," Econometrica, Econometric Society, vol. 46(1), pages 185-200, January.
    67. repec:dau:papers:123456789/4434 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. Cozzi, Marco, 2023. "Public debt and welfare in a quantitative Schumpeterian growth model with incomplete markets," Journal of Macroeconomics, Elsevier, vol. 77(C).
    2. Lee, Byoungchan, 2023. "Wealth Inequality and Endogenous Growth," Journal of Monetary Economics, Elsevier, vol. 133(C), pages 132-148.
    3. Boehl, Gregor & Fischer, Thomas, 2017. "Capital Taxation and Investment: Matching 100 Years of Wealth Inequality Dynamics," Working Papers 2017:8, Lund University, Department of Economics.
    4. Böhl, Gregor & Fischer, Thomas, 2017. "Can taxation predict US top-wealth share dynamics?," IMFS Working Paper Series 118, Goethe University Frankfurt, Institute for Monetary and Financial Stability (IMFS).

    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. Turnovsky, Stephen J. & Smith, William T., 2006. "Equilibrium consumption and precautionary savings in a stochastically growing economy," Journal of Economic Dynamics and Control, Elsevier, vol. 30(2), pages 243-278, February.
    2. Wulff, Alexander & Heinemann, Maik, 2015. "Idiosyncratic Risk, Borrowing Constraints and Financial Integration - A Discussion of Ambiguous Results," VfS Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 113165, Verein für Socialpolitik / German Economic Association.
    3. Maik Heinemann & Alexander Wulff, 2015. "Idiosyncratic Risk, Borrowing Constraints and Financial Integration - A Discussion of Ambiguous Results," Working Papers 2015019, Berlin Doctoral Program in Economics and Management Science (BDPEMS).
    4. Clemens, Christiane & Soretz, Susanne, 1999. "Konsequenzen des Zins- und Einkommensrisikos auf das wirtschaftliche Wachstum," Hannover Economic Papers (HEP) dp-221, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    5. Christiane Clemens & Maik Heinemann, 2012. "Endogenous Growth, the Distribution of Wealth, and Optimal Policy under Incomplete Markets and Idiosyncratic Risk," CESifo Working Paper Series 3832, CESifo.
    6. 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.
    7. Antoine Bommier & François Le Grand, 2019. "Risk Aversion and Precautionary Savings in Dynamic Settings," Management Science, INFORMS, vol. 65(3), pages 1386-1397, March.
    8. Wang, Chong & Wang, Neng & Yang, Jinqiang, 2016. "Optimal consumption and savings with stochastic income and recursive utility," Journal of Economic Theory, Elsevier, vol. 165(C), pages 292-331.
    9. Orazio P. Attanasio, 1998. "Consumption Demand," NBER Working Papers 6466, National Bureau of Economic Research, Inc.
    10. Tom Krebs & Pravin Krishna & William Maloney, 2004. "Trade Policy, Income Risk, and Welfare," Working Papers 2004-09, Brown University, Department of Economics.
    11. Abdelhak S. Senhadji, 2000. "How Significant are Departures from Certainty Equivalence? Some Analytical and Empirical Results," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(3), pages 597-617, July.
    12. Tom Krebs & Pravin Krishna & William Maloney, 2010. "Trade Policy, Income Risk, and Welfare," The Review of Economics and Statistics, MIT Press, vol. 92(3), pages 467-481, August.
    13. 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.
    14. Gomes, Fábio Augusto Reis & Ribeiro, Priscila Fernandes, 2015. "Estimating the elasticity of intertemporal substitution taking into account the precautionary savings motive," Journal of Macroeconomics, Elsevier, vol. 45(C), pages 108-123.
    15. Bertola, Giuseppe, 2000. "Macroeconomics of distribution and growth," Handbook of Income Distribution, in: A.B. Atkinson & F. Bourguignon (ed.), Handbook of Income Distribution, edition 1, volume 1, chapter 9, pages 477-540, Elsevier.
    16. Arif Oduncu, 2012. "Determinants of Precautionary Savings: Elasticity of Intertemporal Substitution vs. Risk Aversion," EcoMod2012 4380, EcoMod.
    17. Getachew, Yoseph Y. & Turnovsky, Stephen J., 2020. "Redistribution, inequality, and efficiency with credit constraints: Implications for South Africa," Economic Modelling, Elsevier, vol. 93(C), pages 259-277.
    18. Adrien Auclert, 2019. "Monetary Policy and the Redistribution Channel," American Economic Review, American Economic Association, vol. 109(6), pages 2333-2367, June.
    19. Giuliano, Paola & Turnovsky, Stephen J., 2003. "Intertemporal substitution, risk aversion, and economic performance in a stochastically growing open economy," Journal of International Money and Finance, Elsevier, vol. 22(4), pages 529-556, August.
    20. Miles Kimball & Philippe Weil, 2009. "Precautionary Saving and Consumption Smoothing across Time and Possibilities," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 41(2‐3), pages 245-284, March.

    More about this item

    Keywords

    Endogenous growth; Borrowing constraints; Wealth distribution; Idiosyncratic risk; Heterogeneous agents;
    All these keywords.

    JEL classification:

    • O4 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity
    • D3 - Microeconomics - - Distribution
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty
    • D9 - Microeconomics - - Micro-Based Behavioral Economics
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling

    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:eee:jmacro:v:45:y:2015:i:c:p:300-317. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622617 .

    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.