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Private and public debt convergence: a fractional cointegration approach

Author

Listed:
  • Maria Malmierca-Ordoqui

    (Universidad Villanueva)

  • Luis A. Gil-Alana

    (University of Navarra)

  • Lorenzo Bermejo

    (Universidad Villanueva)

Abstract

The devastating effects of the financial and economic recessions within the last two decades have led researchers to question whether there is a connection between the public and private financial sectors that contributes to the rapid propagation of crisis. We analyze the fractional cointegrating structure between the private and public debt-to-GDP ratios for 17 European countries to examine the relevance of this relationship as an amplification channel of shocks. On the one hand, the univariate fractional integration approach reveals that shocks have permanent effects on financial variables in all the countries considered. On the other hand, we find that the number of countries for which private and public debt are cointegrated increase after the Great Recession.

Suggested Citation

  • Maria Malmierca-Ordoqui & Luis A. Gil-Alana & Lorenzo Bermejo, 2024. "Private and public debt convergence: a fractional cointegration approach," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 51(1), pages 161-183, February.
  • Handle: RePEc:kap:empiri:v:51:y:2024:i:1:d:10.1007_s10663-023-09594-9
    DOI: 10.1007/s10663-023-09594-9
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    1. Hualde, J. & Robinson, P.M., 2007. "Root-n-consistent estimation of weak fractional cointegration," Journal of Econometrics, Elsevier, vol. 140(2), pages 450-484, October.
    2. Guglielmo Caporale & Luis Gil-Alana, 2014. "Fractional integration and cointegration in US financial time series data," Empirical Economics, Springer, vol. 47(4), pages 1389-1410, December.
    3. Søren Johansen & Morten Ørregaard Nielsen, 2012. "Likelihood Inference for a Fractionally Cointegrated Vector Autoregressive Model," Econometrica, Econometric Society, vol. 80(6), pages 2667-2732, November.
    4. Arteta, Carlos & Hale, Galina, 2008. "Sovereign debt crises and credit to the private sector," Journal of International Economics, Elsevier, vol. 74(1), pages 53-69, January.
    5. de Blas, Beatriz & Malmierca, María, 2020. "Financial frictions and stabilization policies," Economic Modelling, Elsevier, vol. 89(C), pages 166-188.
    6. repec:mcb:jmoncb:v:45:y:2013:i::p:277-298 is not listed on IDEAS
    7. Giancarlo Corsetti & Keith Kuester & André Meier & Gernot J. Müller, 2013. "Sovereign Risk, Fiscal Policy, and Macroeconomic Stability," Economic Journal, Royal Economic Society, vol. 0, pages 99-132, February.
    8. Javier Andres & Oscar Arce & Dominik Thaler & Carlos Thomas, 2020. "When Fiscal Consolidation Meets Private Deleveraging," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 37, pages 214-233, July.
    9. Batini, Nicoletta & Melina, Giovanni & Villa, Stefania, 2019. "Fiscal buffers, private debt, and recession: The good, the bad and the ugly," Journal of Macroeconomics, Elsevier, vol. 62(C).
    10. Drudi, Francesco & Giordano, Raffaela, 2000. "Default risk and optimal debt management," Journal of Banking & Finance, Elsevier, vol. 24(6), pages 861-891, June.
    11. Muhammad Cholifihani, 2008. "A Cointegration Analysis Of Public Debt Service And Gdp In Indonesia," IBT Journal of Business Studies (JBS), Ilma University, Faculty of Management Science, vol. 4(2), pages 4-1.
    12. P. M. Robinson & J. Hualde, 2003. "Cointegration in Fractional Systems with Unknown Integration Orders," Econometrica, Econometric Society, vol. 71(6), pages 1727-1766, November.
    13. Johansen, Søren & Nielsen, Morten Ørregaard, 2010. "Likelihood inference for a nonstationary fractional autoregressive model," Journal of Econometrics, Elsevier, vol. 158(1), pages 51-66, September.
    14. Javier Andres & Oscar Arce & Dominik Thaler & Carlos Thomas, 2020. "When Fiscal Consolidation Meets Private Deleveraging," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 37, pages 214-233, July.
    15. Guglielmo Maria Caporale & Luis A. Gil-Alana & Miguel Martin-Valmayor, 2021. "Persistence in the market risk premium: evidence across countries," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 45(3), pages 413-427, July.
    16. Guglielmo Maria Caporale & Luis Alberiko Gil-Alana & Maria Malmierca, 2021. "Persistence in the private debt-t -GDP ratio: evidence from 43 OECD countries," Applied Economics, Taylor & Francis Journals, vol. 53(43), pages 5018-5027, September.
    17. Luis A. Gil‐Alana, 2003. "Testing of Fractional Cointegration in Macroeconomic Time Series," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 65(4), pages 517-529, September.
    18. Gogas, Periklis & Plakandaras, Vasilios & Papadimitriou, Theophilos, 2014. "Public debt and private consumption in OECD countries," The Journal of Economic Asymmetries, Elsevier, vol. 11(C), pages 1-7.
    19. Bohn, Henning, 2007. "Are stationarity and cointegration restrictions really necessary for the intertemporal budget constraint?," Journal of Monetary Economics, Elsevier, vol. 54(7), pages 1837-1847, October.
    20. Sowell, Fallaw, 1992. "Modeling long-run behavior with the fractional ARIMA model," Journal of Monetary Economics, Elsevier, vol. 29(2), pages 277-302, April.
    21. José Carlos Vides & Antonio A. Golpe & Jesús Iglesias, 2018. "How did the Sovereign debt crisis affect the Euro financial integration? A fractional cointegration approach," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 45(4), pages 685-706, November.
    22. Muhammad Cholifihani, 2008. "A Cointegration Analysis Of Public Debt Service And Gdp In Indonesia," IBT Journal of Business Studies (JBS), Ilma University, Faculty of Management Science, vol. 4(2), pages 68-81.
    23. Massimo Antonini & Kevin Lee & Jacinta Pires, 2013. "Public Sector Debt Dynamics: The Persistence and Sources of Shocks to Debt in 10 EU Countries," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 45(2-3), pages 277-298, March.
    24. Baillie, Richard T., 1996. "Long memory processes and fractional integration in econometrics," Journal of Econometrics, Elsevier, vol. 73(1), pages 5-59, July.
    25. C. W. J. Granger & Roselyne Joyeux, 1980. "An Introduction To Long‐Memory Time Series Models And Fractional Differencing," Journal of Time Series Analysis, Wiley Blackwell, vol. 1(1), pages 15-29, January.
    26. D Marinucci & Peter M Robinson, 2001. "Semiparametric Fractional Cointegration Analysis," STICERD - Econometrics Paper Series 420, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    27. Juan Carlos Cuestas & Luis A. Gil-Alana & Paulo José Regis, 2015. "The Sustainability of European External Debt: What have We Learned?," Review of International Economics, Wiley Blackwell, vol. 23(3), pages 445-468, August.
    28. Schmidt, Peter & Phillips, C B Peter, 1992. "LM Tests for a Unit Root in the Presence of Deterministic Trends," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 257-287, August.
    29. Alok Bhargava, 1986. "On the Theory of Testing for Unit Roots in Observed Time Series," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(3), pages 369-384.
    30. Bernardini, Marco & Forni, Lorenzo, 2020. "Private and public debt interlinkages in bad times," Journal of International Money and Finance, Elsevier, vol. 109(C).
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    More about this item

    Keywords

    Private credit; Public debt; Persistence; Fractional cointegration;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • G51 - Financial Economics - - Household Finance - - - Household Savings, Borrowing, Debt, and Wealth
    • H63 - Public Economics - - National Budget, Deficit, and Debt - - - Debt; Debt Management; Sovereign Debt

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