Open Access Journal Article

Mild Inflation Naturally Prevents Divergence of Debt to GDP Ratio

by Yasuhito Tanaka a,*
a
Faculty of Economics, Doshisha University, Kyoto, Japan
*
Author to whom correspondence should be addressed.
Received: 13 September 2024 / Accepted: 15 November 2024 / Published Online: 24 December 2024

Abstract

This paper shows mainly the following results. 1) The debt to GDP ratio cannot diverge to infinity, that is, fiscal collapse is impossible. The necessary condition for this result is that the propensity to consume from the asset is positive. 2) The divergence of the debt to GDP ratio is prevented by inflation when the interest rate on government bonds is considerably higher than the real growth rate, and the inflation rate which is sufficient to prevent divergence of the debt to GDP ratio is smaller than the interest rate on government bonds. Only an inflation rate slightly greater than the difference between the interest rate on government bonds and the sum of the real growth rate and the propensity to consume from the asset is required. This inflation is not caused by policy but occurs naturally.


Copyright: © 2024 by Tanaka. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY) (Creative Commons Attribution 4.0 International License). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

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ACS Style
Tanaka, Y. Mild Inflation Naturally Prevents Divergence of Debt to GDP Ratio. Economic Analysis Letters, 2024, 3, 67. https://doi.org/10.58567/eal03040002
AMA Style
Tanaka Y. Mild Inflation Naturally Prevents Divergence of Debt to GDP Ratio. Economic Analysis Letters; 2024, 3(4):67. https://doi.org/10.58567/eal03040002
Chicago/Turabian Style
Tanaka, Yasuhito 2024. "Mild Inflation Naturally Prevents Divergence of Debt to GDP Ratio" Economic Analysis Letters 3, no.4:67. https://doi.org/10.58567/eal03040002
APA style
Tanaka, Y. (2024). Mild Inflation Naturally Prevents Divergence of Debt to GDP Ratio. Economic Analysis Letters, 3(4), 67. https://doi.org/10.58567/eal03040002

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References

  1. Blanchard, O. (2022). Deciding when debt becomes unsafe. International Monetary Fund. https://www.imf.org/en/Publications/fandd/issues/2022/03/Deciding-when-debt-becomes-unsafe-Blanchard#:%20:text=When
  2. Blanchard, O. (2023). Fiscal Policy under Low Interest Rates. The MIT Press.
  3. Domar, E. (1944). The burden of debt and the national income. American Economic Review, 34(4), 798–827.
  4. Maebayashi, N., and Tanaka, J. (2020). Limited asset market participation and fiscal sustainability. The Society for Economic Studies, The University of Kitakyushu Working Paper Series No. 2020-4. https://www.kitakyu-u.ac.jp/economy/uploads/2020_4.pdf
  5. Otaki, M. (2007). The dynamically extended Keynesian cross and the welfare-improving fiscal policy. Economics Letters, 96, 23–29. https://doi.org/10.1016/j.econlet.2006.12.005
  6. Otaki, M. (2009). A welfare economics foundation for the full-employment policy. Economics Letters, 102, 1–3. https://doi.org/10.1016/j.econlet.2008.08.003
  7. Otaki, M. (2015). Keynesian Economics and Price Theory: Re-orientation of a Theory of Monetary Economy. Springer. https://doi.org/10.1007/978-4-431-55345-8
  8. Tanaka, Y. (2023a). The budget deficit in an endogenous growth model with bequest and money holdings, Economic Analysis Letters, 2, 29-39. https://doi.org/10.58567/eal02010005
  9. Tanaka, Y. (2023b). Money holding and budget deficit in a growing economy with consumers living forever, Financial Economics Letters, 2, 30-43. https://doi.org/10.58567/fel02010004
  10. Tanaka, Y. (2024a). An overlapping generations version of Krugman’s world's smallest macroeconomic model and fiscal deficit, Journal of Economic Analysis, 3, 101-115. https://doi.org/10.58567/jea03040006
  11. Tanaka, Y. (2024b). Budget deficit and money holding when consumers live forever in an endogenous growth model, Journal of Economic Analysis, 3, 116-135. https://doi.org/10.58567/jea03040007
  12. Tanaka, Y. (2024c). Budget deficit in a growing economy and impossibility of fiscal collapse: A continuous time analysis, Central European Economic Journal, 11, 306-319. https://intapi.sciendo.com/pdf/10.2478/ceej-2024-0020
  13. Yoshino, N., and Miyamoto, H. (2021). Reconsideration of the “Domar condition” to check sustainability of budget deficit. Public Policy Review, Policy Research Institute, Ministry of Finance, Japan, 17(3), 1–12.
  14. Weil, P. (1987). Permanent budget deficits and inflation. Journal of Monetary Economics, 20, 392–410.
  15. Weil, P. (1988). Overlapping families of infinitely-lived agents. Journal of Public Economics, 38, 193–198.