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Sustainability of Public Debt in an AK Model with Complex Tax System

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  • Atsumasa Kondo

    (Faculty of Economics, Shiga University)

Abstract

This paper theoretically investigates the role of the tax system in sustaining the public debt. The paper explicitly derives the critical level of the public debt-to-GDP ratio that is compatible with a balanced growth path. If the ratio exceeds this critical level at time 0, then it diverges to +∞ as time passes. Analyzing a situation where the government marginally increases the consumption tax rate, the paper reveals the extent to which the government can then cut the income tax rate while maintaining the sustainability of public debt. Tax rates that are compatible with the balanced growth are also derived as a function of the initial level of debt-to-GDP ratio.

Suggested Citation

  • Atsumasa Kondo, 2016. "Sustainability of Public Debt in an AK Model with Complex Tax System," Discussion Papers CRR Discussion Paper Series A: General 21, Shiga University, Faculty of Economics,Center for Risk Research.
  • Handle: RePEc:shg:dpapea:21
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    File URL: https://www.econ.shiga-u.ac.jp/risk/DPA21kondo20160930.pdf
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    References listed on IDEAS

    as
    1. Atsumasa Kondo, 2016. "Interconnection of Fiscal Policies on Sustainability of Public Debt," Discussion Papers CRR Discussion Paper Series A: General 20, Shiga University, Faculty of Economics,Center for Risk Research.
    2. Henning Bohn, 1998. "The Behavior of U. S. Public Debt and Deficits," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 113(3), pages 949-963.
    3. Chryssi Giannitsarou, 2007. "Balanced Budget Rules and Aggregate Instability: The Role of Consumption Taxes," Economic Journal, Royal Economic Society, vol. 117(523), pages 1423-1435, October.
    4. Alfred Greiner, 2015. "Public Debt, Productive Public Spending and Endogenous Growth," The Japanese Economic Review, Japanese Economic Association, vol. 66(4), pages 520-535, December.
    5. Alfred Greiner & Uwe Köller & Willi Semmler, 2007. "Debt sustainability in the European Monetary Union: Theory and empirical evidence for selected countries," Oxford Economic Papers, Oxford University Press, vol. 59(2), pages 194-218, April.
    6. Schmitt-Grohe, Stephanie & Uribe, Martin, 1997. "Balanced-Budget Rules, Distortionary Taxes, and Aggregate Instability," Journal of Political Economy, University of Chicago Press, vol. 105(5), pages 976-1000, October.
    7. Real Arai, 2011. "Productive Government Expenditure and Fiscal Sustainability," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 67(4), pages 327-351, December.
    8. Atsumasa Kondo, 2012. "A Note on Public-Debt Sustainability in an Economy with Declining Fertility," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 68(2), pages 153-164, June.
    9. Bettina Fincke & Alfred Greiner, 2012. "How to assess debt sustainability? Some theory and empirical evidence for selected euro area countries," Applied Economics, Taylor & Francis Journals, vol. 44(28), pages 3717-3724, October.
    10. Alfred Greiner, 2013. "Sustainable Public Debt and Economic Growth under Wage Rigidity," Metroeconomica, Wiley Blackwell, vol. 64(2), pages 272-292, May.
    11. Fincke, Bettina & Greiner, Alfred, 2011. "Do large industrialized economies pursue sustainable debt policies? A comparative study for Japan, Germany and the United States," Japan and the World Economy, Elsevier, vol. 23(3), pages 202-213.
    12. Nourry, Carine & Seegmuller, Thomas & Venditti, Alain, 2013. "Aggregate instability under balanced-budget consumption taxes: A re-examination," Journal of Economic Theory, Elsevier, vol. 148(5), pages 1977-2006.
    13. Atsumasa Kondo, 2007. "On The Sustainability Of Government Borrowing In A Dynamic General Equilibrium," Pacific Economic Review, Wiley Blackwell, vol. 12(5), pages 565-576, December.
    14. Greiner Alfred & Anton Bondarev, 2015. "Public debt and aggregate stability with endogenous growth and a state-dependent consumption tax," Economics Bulletin, AccessEcon, vol. 35(4), pages 2601-2609.
    15. Yakita, Akira, 2008. "Sustainability of public debt, public capital formation, and endogenous growth in an overlapping generations setting," Journal of Public Economics, Elsevier, vol. 92(3-4), pages 897-914, April.
    16. Alfred Greiner, 2011. "Sustainability of public debt: Some theoretical considerations," Economics Bulletin, AccessEcon, vol. 31(4), pages 3311-3319.
    17. Atsumasa Kondo & Koji Kitaura, 2009. "Does Deflation Impinge On A Government'S Fiscal Standing?," Pacific Economic Review, Wiley Blackwell, vol. 14(5), pages 651-656, December.
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    More about this item

    Keywords

    sustainability of public debt; tax system; balanced growth path; dynamic general equilibrium;
    All these keywords.

    JEL classification:

    • E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy; Modern Monetary Theory
    • H6 - Public Economics - - National Budget, Deficit, and Debt

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