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Are No-Ponzi Game and Transversality Conditions Relevant for Public Debt? A Keynesian Appraisal

Author

Listed:
  • Karim Azizi
  • Nicolas Canry
  • Jean-Bernard Chatelain
  • Bruno Tinel

Abstract

This paper investigates the relevance of the No-Ponzi game condition for public debt (i.e. the public debt growth rate has to be lower than the real interest rate) and the transversality condition for the GDP growth rate (i.e. the GDP growth rate has to be lower than the real interest rate). First, it appears in OECD data, that over the last 40 years, those conditions were validated only for 24% of the cases under examination. Second, the No-Ponzi and the transversality conditions were more frequent in the 1980s and the 1990s following changes towards more restrictive monetary policies. Third, in line with the Keynesian view, the data show that cases where the real interest rate is lower than the GDP growth rate may also lead to public debt consolidation (i.e. a decrease in the debt to GDP ratio) in 26% of the cases, compared with only 19% corresponding to the textbook case in which both GDP and public debt growth rates are below the interest rate.

Suggested Citation

  • Karim Azizi & Nicolas Canry & Jean-Bernard Chatelain & Bruno Tinel, 2012. "Are No-Ponzi Game and Transversality Conditions Relevant for Public Debt? A Keynesian Appraisal," Working Papers wp296, Political Economy Research Institute, University of Massachusetts at Amherst.
  • Handle: RePEc:uma:periwp:wp296
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    File URL: https://www.peri.umass.edu/fileadmin/pdf/working_papers/working_papers_251-300/WP296.pdf
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    References listed on IDEAS

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    4. Halkin, Hubert, 1974. "Necessary Conditions for Optimal Control Problems with Infinite Horizons," Econometrica, Econometric Society, vol. 42(2), pages 267-272, March.
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    6. Takashi Kamihigashi, 2004. "Necessity of the Transversality Condition for Stochastic Models with Bounded or CRRA Utility," Discussion Paper Series 152, Research Institute for Economics & Business Administration, Kobe University.
    7. Muriel Pucci & Bruno Tinel, 2011. "Réductions d'impôts et dette publique en France," Revue de l'OFCE, Presses de Sciences-Po, vol. 0(1), pages 125-148.
    8. Michel, Philippe, 1982. "On the Transversality Condition in Infinite Horizon Optimal Problems," Econometrica, Econometric Society, pages 975-985.
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    Citations

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    Cited by:

    1. Sébastien Lechevalier & Pauline Debanes & Shin Wonkyu, 2016. "Financialization and industrial policies in Japan and Korea: Evolving complementarities and loss of institutional capabilities," Working Papers halshs-01431783, HAL.
    2. Sébastien Lechevalier & Pauline Debanes & Wonkyu Shin, 2017. "Financialization and industrial policies in Japan and Korea: Evolving institutional complementarities and loss of state capabilities," Cahiers du GREThA 2017-17, Groupe de Recherche en Economie Théorique et Appliquée.

    More about this item

    Keywords

    Public debt solvency; No-Ponzi Game condition; transversality condition; Keynesian countercyclical policy; monetary policy; economic growth;

    JEL classification:

    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • E5 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit
    • E6 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook
    • H6 - Public Economics - - National Budget, Deficit, and Debt

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