IDEAS home Printed from https://ideas.repec.org/p/shg/dpapea/21.html
   My bibliography  Save this paper

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://www.econ.shiga-u.ac.jp/risk/DPA21kondo20160930.pdf
    File Function: First version, 2016
    Download Restriction: no
    ---><---

    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. 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.
    4. 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.
    5. 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.
    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. Alfred Greiner, 2011. "Sustainability of public debt: Some theoretical considerations," Economics Bulletin, AccessEcon, vol. 31(4), pages 3311-3319.
    8. 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.
    9. 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.
    10. Real Arai, 2011. "Productive Government Expenditure and Fiscal Sustainability," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 67(4), pages 327-351, December.
    11. 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.
    12. Alfred Greiner, 2013. "Sustainable Public Debt and Economic Growth under Wage Rigidity," Metroeconomica, Wiley Blackwell, vol. 64(2), pages 272-292, May.
    13. 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.
    14. 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.
    15. 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.
    16. 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.
    17. 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.
    Full references (including those not matched with items on IDEAS)

    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. 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. Ibrahim Ari & Muammer Koc, 2018. "Sustainable Financing for Sustainable Development: Understanding the Interrelations between Public Investment and Sovereign Debt," Sustainability, MDPI, vol. 10(11), pages 1-25, October.
    3. Maxime Menuet & Alexandru Minea & Patrick Villieu, 2019. "The Peril of Fiscal Rules," Post-Print hal-02314996, HAL.
    4. Alfred Greiner, 2015. "Fiscal and Monetary Policy in a Basic Endogenous Growth Model," Computational Economics, Springer;Society for Computational Economics, vol. 45(2), pages 285-301, February.
    5. Micheli, Martin, 2020. "Aggregate stability under a budget rule and labor mobility," Economic Modelling, Elsevier, vol. 93(C), pages 510-519.
    6. Samia Omrane Belguith & Foued Badr Gabsi, 2019. "Public Debt Sustainability in Tunisia: Empirical Evidence Estimating Time-Varying Parameters," Journal of the Knowledge Economy, Springer;Portland International Center for Management of Engineering and Technology (PICMET), vol. 10(2), pages 550-560, June.
    7. Greiner, Alfred, 2012. "Public debt in a basic endogenous growth model," Economic Modelling, Elsevier, vol. 29(4), pages 1344-1348.
    8. Maebayashi, Noritaka, 2024. "Sustainability of public debt, investment subsidies, and endogenous growth with heterogeneous firms and financial frictions," MPRA Paper 120884, University Library of Munich, Germany.
    9. Kamiguchi, Akira & Tamai, Toshiki, 2023. "Public investment, national debt, and economic growth: The role of debt finance under dynamic inefficiency," Journal of Macroeconomics, Elsevier, vol. 77(C).
    10. Afonso, António & Coelho, José Carlos, 2024. "Drivers of fiscal sustainability: A time-varying analysis for Portugal," International Economics, Elsevier, vol. 178(C).
    11. Nishimura, Kazuo & Seegmuller, Thomas & Venditti, Alain, 2015. "Fiscal policy, debt constraint and expectations-driven volatility," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 305-316.
    12. Kazuo Nishimura & Carine Nourry & Thomas Seegmuller & Alain Venditti, 2013. "Destabilizing balanced-budget consumption taxes in multi-sector economies," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(1), pages 113-130, March.
    13. Juin‐Jen Chang & Jang‐Ting Guo & Jhy‐Yuan Shieh & Wei‐Neng Wang, 2015. "Sectoral Composition Of Government Spending And Macroeconomic (In)Stability," Economic Inquiry, Western Economic Association International, vol. 53(1), pages 23-33, January.
    14. Mauro Bambi & Alain Venditti, 2021. "Time‐varying consumption tax, productive government spending, and aggregate instability," International Journal of Economic Theory, The International Society for Economic Theory, vol. 17(2), pages 190-215, June.
    15. Katia Berti & Eugeniu Colesnic & Cyril Desponts & Stephanie Pamies & Etienne Sail, 2016. "Fiscal Reaction Functions for European Union Countries," European Economy - Discussion Papers 028, Directorate General Economic and Financial Affairs (DG ECFIN), European Commission.
    16. Xue, Jianpo & Yip, Chong K., 2018. "Home production, balanced-budget taxation and economic (in)stability," Journal of Macroeconomics, Elsevier, vol. 56(C), pages 231-242.
    17. Maebayashi, Noritaka, 2021. "The pace of fiscal consolidations, fiscal sustainability, and welfare: An overlapping generations approach," MPRA Paper 112593, University Library of Munich, Germany, revised 30 Feb 2022.
    18. Boucekkine, Raouf & Nishimura, Kazuo & Venditti, Alain, 2015. "Introduction to financial frictions and debt constraints," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 271-275.
    19. Maxime Menuet & Alexandru Minea & Patrick Villieu, 2019. "Budget Rules, Distortionnary Taxes, and Aggregate Instability: A reappraisal," Working Papers hal-02153856, HAL.
    20. Kevin X.D. Huang & Qinglai Meng & Jianpo Xue, 2018. "Balanced‐Budget Rules and Aggregate Instability: The Role of Endogenous Capital Utilization," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 50(8), pages 1669-1709, December.

    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

    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:shg:dpapea:21. 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: Mari Yamasaki (email available below). General contact details of provider: https://edirc.repec.org/data/feshijp.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.