IDEAS home Printed from https://ideas.repec.org/p/ecb/ecbwps/20141665.html
   My bibliography  Save this paper

Optimal level of government debt - matching wealth inequality and the fiscal sector

Author

Listed:
  • Vogel, Edgar

Abstract

We calibrate an incomplete markets large scale OLG model to the US income and wealth distribution and examine the effects of alternative government debt levels and adjustment policies on macroeconomic aggregates and welfare. We find that the government should hold negative debt. Due to the high degree of wealth and income dispersion ex ante lifetime utility increases with increasing wages (falling interest rates) by around 6% of lifetime consumption at optimal debt levels. The optimal level depends on the adjustment policy can vary by up to 70% of GDP (between -180% and -110%). With lower government debt, high income/wealth agents are always worse off. Adjusting transfers benefits the lowest income/wealth group. The largest gains are, however, experienced by agents in the middle of the income/wealth distribution: they benefit from higher wages and transfers but do not lose too much capital income. JEL Classification: C54, D52, D6, E2, H2, H6

Suggested Citation

  • Vogel, Edgar, 2014. "Optimal level of government debt - matching wealth inequality and the fiscal sector," Working Paper Series 1665, European Central Bank.
    • Handle: RePEc:ecb:ecbwps:20141665
    Note: 850633
    as

    Download full text from publisher

    File URL: https://www.ecb.europa.eu//pub/pdf/scpwps/ecbwp1665.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Francisco Gomes & Alexander Michaelides & Valery Polkovnichenko, 2009. "Quantifying the Distortionary Fiscal Cost of ‘The Bailout’," Working Papers 2009-6, Central Bank of Cyprus.
    2. Julio Dávila & Jay H. Hong & Per Krusell & José‐Víctor Ríos‐Rull, 2012. "Constrained Efficiency in the Neoclassical Growth Model With Uninsurable Idiosyncratic Shocks," Econometrica, Econometric Society, vol. 80(6), pages 2431-2467, November.
    3. Hansen, G D, 1993. "The Cyclical and Secular Behaviour of the Labour Input: Comparing Efficiency Units and Hours Worked," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(1), pages 71-80, Jan.-Marc.
    4. Barro, Robert J, 1974. "Are Government Bonds Net Wealth?," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1095-1117, Nov.-Dec..
    5. Sigrid Röhrs & Christoph Winter, 2011. "Wealth inequality and the optimal level of government debt," ECON - Working Papers 051, Department of Economics - University of Zurich.
    6. Deaton, Angus, 1991. "Saving and Liquidity Constraints," Econometrica, Econometric Society, vol. 59(5), pages 1221-1248, September.
    7. 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.
    8. Mendoza, Enrique G. & Razin, Assaf & Tesar, Linda L., 1994. "Effective tax rates in macroeconomics: Cross-country estimates of tax rates on factor incomes and consumption," Journal of Monetary Economics, Elsevier, vol. 34(3), pages 297-323, December.
    9. Kehoe, Timothy J & Levine, David K, 2001. "Liquidity Constrained Markets versus Debt Constrained Markets," Econometrica, Econometric Society, vol. 69(3), pages 575-598, May.
    10. Aiyagari, S. Rao & McGrattan, Ellen R., 1998. "The optimum quantity of debt," Journal of Monetary Economics, Elsevier, vol. 42(3), pages 447-469, October.
    11. Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, vol. 20(2), pages 177-181.
    12. B. Douglas Bernheim, 1987. "Ricardian Equivalence: An Evaluation of Theory and Evidence," NBER Chapters, in: NBER Macroeconomics Annual 1987, Volume 2, pages 263-316, National Bureau of Economic Research, Inc.
    13. Lopez-Garcia, Miguel-Angel, 2008. "On the role of public debt in an OLG model with endogenous labor supply," Journal of Macroeconomics, Elsevier, vol. 30(3), pages 1323-1328, September.
    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. Cagetti, Marco & De Nardi, Mariacristina, 2008. "Wealth Inequality: Data And Models," Macroeconomic Dynamics, Cambridge University Press, vol. 12(S2), pages 285-313, September.
    16. 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.
    17. 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.
    18. Woodford, Michael, 1990. "Public Debt as Private Liquidity," American Economic Review, American Economic Association, vol. 80(2), pages 382-388, May.
    19. David Domeij & Martin Floden, 2006. "The Labor-Supply Elasticity and Borrowing Constraints: Why Estimates are Biased," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(2), pages 242-262, April.
    20. Audrey Desbonnet & Thomas Weitzenblum, 2012. "Why Do Governments End Up With Debt? Short-Run Effects Matter," Economic Inquiry, Western Economic Association International, vol. 50(4), pages 905-919, October.
    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. 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.
    23. 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.
    24. Johanna Wallenius, 2011. "Human Capital Accumulation and the Intertemporal Elasticity of Substitution of Labor: How Large is the Bias?," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 14(4), pages 577-591, October.
    25. 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.
    26. Ábrahám, Árpád & Cárceles-Poveda, Eva, 2010. "Endogenous trading constraints with incomplete asset markets," Journal of Economic Theory, Elsevier, vol. 145(3), pages 974-1004, May.
    27. Seater, John J, 1993. "Ricardian Equivalence," Journal of Economic Literature, American Economic Association, vol. 31(1), pages 142-190, March.
    28. Lucas, Robert Jr. & Stokey, Nancy L., 1983. "Optimal fiscal and monetary policy in an economy without capital," Journal of Monetary Economics, Elsevier, vol. 12(1), pages 55-93.
    29. Juan Carlos Conesa & Sagiri Kitao & Dirk Krueger, 2009. "Taxing Capital? Not a Bad Idea after All!," American Economic Review, American Economic Association, vol. 99(1), pages 25-48, March.
    30. 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.
    31. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    32. Gouveia, Miguel & Strauss, Robert P., 1994. "Effective Federal Individual Tax Functions: An Exploratory Empirical Analysis," National Tax Journal, National Tax Association;National Tax Journal, vol. 47(2), pages 317-339, June.
    33. S. Rao Aiyagari & Albert Marcet & Thomas J. Sargent & Juha Seppala, 2002. "Optimal Taxation without State-Contingent Debt," Journal of Political Economy, University of Chicago Press, vol. 110(6), pages 1220-1254, December.
    34. Hiebert, Paul & Pérez, Javier J. & Rostagno, Massimo, 2009. "The trade-off between public debt reduction and automatic stabilisation," Economic Modelling, Elsevier, vol. 26(2), pages 464-472, March.
    35. Per Krusell & Anthony A. Smith & Jr., 1998. "Income and Wealth Heterogeneity in the Macroeconomy," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 867-896, October.
    36. Pries, Michael J., 2007. "Social Security reform and intertemporal smoothing," Journal of Economic Dynamics and Control, Elsevier, vol. 31(1), pages 25-54, January.
    37. Imrohoroglu, Ayse & Imrohoroglu, Selahattin & Joines, Douglas H, 1995. "A Life Cycle Analysis of Social Security," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(1), pages 83-114, June.
    38. Gouveia, Miguel & Strauss, Robert P., 1994. "Effective Federal Individual Tax Functions: An Exploratory Empirical Analysis," National Tax Journal, National Tax Association, vol. 47(2), pages 317-39, June.
    39. Attanasio, Orazio & Kitao, Sagiri & Violante, Giovanni L., 2007. "Global demographic trends and social security reform," Journal of Monetary Economics, Elsevier, vol. 54(1), pages 144-198, January.
    40. Alexia Prskawetz & Thomas Fent, 2007. "Workforce Ageing And The Substitution Of Labour: The Role Of Supply And Demand Of Labour In Austria," Metroeconomica, Wiley Blackwell, vol. 58(1), pages 95-126, February.
    41. Juan C. Conesa & Dirk Krueger, 1999. "Social Security Reform with Heterogeneous Agents," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 2(4), pages 757-795, October.
    42. Ludwig, Alexander, 2007. "The Gauss-Seidel-quasi-Newton method: A hybrid algorithm for solving dynamic economic models," Journal of Economic Dynamics and Control, Elsevier, vol. 31(5), pages 1610-1632, May.
    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. William B. Peterman & Erick Sager, 2022. "Optimal Public Debt with Life Cycle Motives," American Economic Journal: Macroeconomics, American Economic Association, vol. 14(4), pages 404-437, October.
    2. Ewa Aksman, 2017. "Do Poverty and Income Inequality Affect Public Debt?," Gospodarka Narodowa. The Polish Journal of Economics, Warsaw School of Economics, issue 6, pages 79-93.
    3. Chatzouz, Moustafa, 2014. "Government Debt and Wealth Inequality: Theory and Insights from Altruism," MPRA Paper 77007, University Library of Munich, Germany.

    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. Vogel, Edgar, 2014. "Optimal Level of Government Debt: Matching Wealth Inequality and the Fiscal Sector," MEA discussion paper series 201410, Munich Center for the Economics of Aging (MEA) at the Max Planck Institute for Social Law and Social Policy.
    2. Kitao, Sagiri, 2010. "Short-run fiscal policy: Welfare, redistribution and aggregate effects in the short and long-run," Journal of Economic Dynamics and Control, Elsevier, vol. 34(10), pages 2109-2125, October.
    3. Dieppe, Alistair & Mourinho Félix, Ricardo & Marchiori, Luca & Grech, Owen & Albani, Maria & Lalouette, Laure & Kulikov, Dmitry & Papadopoulou, Niki & Sideris, Dimitris & Irac, Delphine & Gordo Mora, , 2015. "Public debt, population ageing and medium-term growth," Occasional Paper Series 165, European Central Bank.
    4. Röhrs, Sigrid & Winter, Christoph, 2017. "Reducing government debt in the presence of inequality," Journal of Economic Dynamics and Control, Elsevier, vol. 82(C), pages 1-20.
    5. Mark Aguiar & Manuel Amador & Cristina Arellano, 2021. "Micro Risks and Pareto Improving Policies," Working Papers 2021-15, Princeton University. Economics Department..
    6. Hsu, Minchung & Yang, C.C., 2013. "Optimal linear and two-bracket income taxes with idiosyncratic earnings risk," Journal of Public Economics, Elsevier, vol. 105(C), pages 58-71.
    7. repec:ecb:ecbops:2014165 is not listed on IDEAS
    8. 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.
    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. Mark Aguiar & Manuel Amador & Cristina Arellano, 2021. "Micro Risks and Pareto Improving Policies with Low Interest Rates," Staff Report 625, Federal Reserve Bank of Minneapolis.
    11. Dirk Krueger, 2006. "Public Insurance against Idiosyncratic and Aggregate Risk: The Case of Social Security and Progressive Income Taxation," CESifo Economic Studies, CESifo Group, vol. 52(4), pages 587-620, December.
    12. Fève, Patrick & Matheron, Julien & Sahuc, Jean-Guillaume, 2012. "The Laffer Curve in an Incomplete-Market Economy," TSE Working Papers 12-288, Toulouse School of Economics (TSE), revised Jul 2013.
    13. Desbonnet, Audrey & Kankanamge, Sumudu, 2017. "Public Debt And Aggregate Risk," Macroeconomic Dynamics, Cambridge University Press, vol. 21(8), pages 1996-2032, December.
    14. Röhrs, Sigrid & Winter, Christoph, 2015. "Public versus private provision of liquidity: Is there a trade-off?," Journal of Economic Dynamics and Control, Elsevier, vol. 53(C), pages 314-339.
    15. Adrien Auclert, 2019. "Monetary Policy and the Redistribution Channel," American Economic Review, American Economic Association, vol. 109(6), pages 2333-2367, June.
    16. Juan Carlos Conesa & Sagiri Kitao & Dirk Krueger, 2009. "Taxing Capital? Not a Bad Idea after All!," American Economic Review, American Economic Association, vol. 99(1), pages 25-48, March.
    17. repec:hal:spmain:info:hdl:2441/6bl2553ksc9vlq1fltjs9h1cht is not listed on IDEAS
    18. William B. Peterman & Erick Sager, 2022. "Optimal Public Debt with Life Cycle Motives," American Economic Journal: Macroeconomics, American Economic Association, vol. 14(4), pages 404-437, October.
    19. Nakajima, Makoto, 2020. "Capital income taxation with housing," Journal of Economic Dynamics and Control, Elsevier, vol. 115(C).
    20. François Le Grand & Xavier Ragot, 2017. "Optimal Fiscal Policy with Heterogeneous Agents and Aggregate Shocks," Working Papers hal-03458683, HAL.
    21. repec:hal:wpspec:info:hdl:2441/6bl2553ksc9vlq1fltjs9h1cht is not listed on IDEAS
    22. Blandin, Adam & Peterman, William B., 2019. "Taxing capital? The importance of how human capital is accumulated," European Economic Review, Elsevier, vol. 119(C), pages 482-508.
    23. Jung, Juergen & Tran, Chung, 2022. "Social health insurance: A quantitative exploration," Journal of Economic Dynamics and Control, Elsevier, vol. 139(C).

    More about this item

    Keywords

    government debt; incomplete markets; redistribution; ricardian equivalence;
    All these keywords.

    JEL classification:

    • C54 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Quantitative Policy Modeling
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D6 - Microeconomics - - Welfare Economics
    • E2 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment
    • H2 - Public Economics - - Taxation, Subsidies, and Revenue
    • H6 - Public Economics - - National Budget, Deficit, and Debt

    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:ecb:ecbwps:20141665. 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: Official Publications (email available below). General contact details of provider: https://edirc.repec.org/data/emieude.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.