IDEAS home Printed from https://ideas.repec.org/a/spr/empeco/v64y2023i3d10.1007_s00181-022-02284-8.html
   My bibliography  Save this article

Assessing nonlinearities and heterogeneity in debt sustainability analysis: a panel spline approach

Author

Listed:
  • Benjamin Owusu

    (Bielefeld University)

  • Bettina Bökemeier

    (Bielefeld University)

  • Alfred Greiner

    (Bielefeld University)

Abstract

This paper empirically studies public debt sustainability with the penalized panel splines approach for 25 EU economies from 2000 to 2019 by estimating the response of the primary surplus to lagged debt relative to GDP, respectively. A positive coefficient on average indicates sustainable policies, which is supported by all our results. Moreover, we show that this relationship is not homogeneous across the distribution of the debt ratios but varies with the magnitude of public debt to GDP. The estimations reveal a strongly increasing reaction for small and high debt ratios while it is rather flat for intermediate levels. This holds for normal times, too, whereas during years of economic crisis a monotonously increasing response can be observed. Additionally, for a cluster consisting of smaller EU economies, there is an indication of ‘fiscal fatigue’, meaning that the effort of active fiscal counter-steering peters out for high ratios of public debt to GDP. The same effect can be observed for the whole sample and a sample including the large EU economies, once Greece is removed.

Suggested Citation

  • Benjamin Owusu & Bettina Bökemeier & Alfred Greiner, 2023. "Assessing nonlinearities and heterogeneity in debt sustainability analysis: a panel spline approach," Empirical Economics, Springer, vol. 64(3), pages 1315-1346, March.
    • Handle: RePEc:spr:empeco:v:64:y:2023:i:3:d:10.1007_s00181-022-02284-8
    DOI: 10.1007/s00181-022-02284-8
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00181-022-02284-8
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s00181-022-02284-8?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Badi H. Baltagi & Dong Li, 2002. "Series Estimation of Partially Linear Panel Data Models with Fixed Effects," Annals of Economics and Finance, Society for AEF, vol. 3(1), pages 103-116, May.
    2. Atish R. Ghosh & Jun I. Kim & Enrique G. Mendoza & Jonathan D. Ostry & Mahvash S. Qureshi, 2013. "Fiscal Fatigue, Fiscal Space and Debt Sustainability in Advanced Economies," Economic Journal, Royal Economic Society, vol. 0, pages 4-30, February.
    3. 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.
    4. Manuel Wiesenfarth & Tatyana Krivobokova & Stephan Klasen & Stefan Sperlich, 2012. "Direct Simultaneous Inference in Additive Models and Its Application to Model Undernutrition," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 107(500), pages 1286-1296, December.
    5. António Afonso & Christophe Rault, 2010. "What do we really know about fiscal sustainability in the EU? A panel data diagnostic," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 145(4), pages 731-755, January.
    6. Wilcox, David W, 1989. "The Sustainability of Government Deficits: Implications of the Present-Value Borrowing Constraint," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 21(3), pages 291-306, August.
    7. S. N. Wood, 2000. "Modelling and smoothing parameter estimation with multiple quadratic penalties," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 62(2), pages 413-428.
    8. Silika Prohl & Joakim Westerlund, 2009. "Using Panel Data to Test for Fiscal Sustainability within the European Union," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 65(2), pages 246-269, June.
    9. Claeys, Peter, 2007. "Sustainability of EU Fiscal Policies: a Panel Test," Journal of Economic Integration, Center for Economic Integration, Sejong University, vol. 22, pages 112-127.
    10. António Afonso & João Tovar Jalles, 2019. "Fiscal Reaction Functions Across the World: In Quest of Statistical (In)significance," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 75(3), pages 207-228.
    11. Morten O. Ravn & Harald Uhlig, 2002. "On adjusting the Hodrick-Prescott filter for the frequency of observations," The Review of Economics and Statistics, MIT Press, vol. 84(2), pages 371-375.
    12. Kyung-woo Lee & Jong-Hee Kim & Taeyoon Sung, 2018. "A test of fiscal sustainability in the EU countries," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 25(5), pages 1170-1196, October.
    13. Backus, David K & Kehoe, Patrick J, 1992. "International Evidence of the Historical Properties of Business Cycles," American Economic Review, American Economic Association, vol. 82(4), pages 864-888, September.
    14. Kauermann, Goran, 2005. "Penalized spline smoothing in multivariable survival models with varying coefficients," Computational Statistics & Data Analysis, Elsevier, vol. 49(1), pages 169-186, April.
    15. Hamilton, James D & Flavin, Marjorie A, 1986. "On the Limitations of Government Borrowing: A Framework for EmpiricalTesting," American Economic Review, American Economic Association, vol. 76(4), pages 808-819, September.
    16. Beqiraj, Elton & Fedeli, Silvia & Forte, Francesco, 2018. "Public debt sustainability: An empirical study on OECD countries," Journal of Macroeconomics, Elsevier, vol. 58(C), pages 238-248.
    17. Andrews, Donald W K & Ploberger, Werner, 1994. "Optimal Tests When a Nuisance Parameter Is Present Only under the Alternative," Econometrica, Econometric Society, vol. 62(6), pages 1383-1414, November.
    18. Marianne Baxter & Robert G. King, 1999. "Measuring Business Cycles: Approximate Band-Pass Filters For Economic Time Series," The Review of Economics and Statistics, MIT Press, vol. 81(4), pages 575-593, November.
    19. Barro, Robert J, 1979. "On the Determination of the Public Debt," Journal of Political Economy, University of Chicago Press, vol. 87(5), pages 940-971, October.
    20. Henderson, Daniel J. & Carroll, Raymond J. & Li, Qi, 2008. "Nonparametric estimation and testing of fixed effects panel data models," Journal of Econometrics, Elsevier, vol. 144(1), pages 257-275, May.
    21. Bohn, Henning, 1995. "The Sustainability of Budget Deficits in a Stochastic Economy," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 27(1), pages 257-271, February.
    22. Pesaran, M. Hashem & Smith, Ron, 1995. "Estimating long-run relationships from dynamic heterogeneous panels," Journal of Econometrics, Elsevier, vol. 68(1), pages 79-113, July.
    23. Peter Pütz & Thomas Kneib, 2018. "A penalized spline estimator for fixed effects panel data models," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 102(2), pages 145-166, April.
    24. Checherita-Westphal, Cristina & Žďárek, Václav, 2017. "Fiscal reaction function and fiscal fatigue: evidence for the euro area," Working Paper Series 2036, European Central Bank.
    25. Gilles Mourre & George-Marian Isbasoiu & Dario Paternoster & Matteo Salto, 2013. "The cyclically-adjusted budget balance used in the EU fiscal framework: an update," European Economy - Economic Papers 2008 - 2015 478, Directorate General Economic and Financial Affairs (DG ECFIN), European Commission.
    26. Ruppert,David & Wand,M. P. & Carroll,R. J., 2003. "Semiparametric Regression," Cambridge Books, Cambridge University Press, number 9780521780506, November.
    27. Alfred Greiner & Bettina Fincke, 2015. "Public Debt, Sustainability and Economic Growth," Springer Books, Springer, edition 127, number 978-3-319-09348-2, October.
    28. Correia, Isabel H. & Neves, Joao L. & Rebelo, Sergio, 1992. "Business cycles from 1850 to 1950 : New facts about old data," European Economic Review, Elsevier, vol. 36(2-3), pages 459-467, April.
    29. Wang Q. & Linton O. & Hardle W., 2004. "Semiparametric Regression Analysis With Missing Response at Random," Journal of the American Statistical Association, American Statistical Association, vol. 99, pages 334-345, January.
    30. Blundell, Richard & Bond, Stephen, 1998. "Initial conditions and moment restrictions in dynamic panel data models," Journal of Econometrics, Elsevier, vol. 87(1), pages 115-143, August.
    31. Trehan, Bharat & Walsh, Carl E, 1991. "Testing Intertemporal Budget Constraints: Theory and Applications to U.S. Federal Budget and Current Account Deficits," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 23(2), pages 206-223, May.
    32. Cooley, Thomas F. & Ohanian, Lee E., 1991. "The cyclical behavior of prices," Journal of Monetary Economics, Elsevier, vol. 28(1), pages 25-60, August.
    33. Andrews, Donald W K, 1993. "Tests for Parameter Instability and Structural Change with Unknown Change Point," Econometrica, Econometric Society, vol. 61(4), pages 821-856, July.
    34. Ruppert,David & Wand,M. P. & Carroll,R. J., 2003. "Semiparametric Regression," Cambridge Books, Cambridge University Press, number 9780521785167, November.
    35. Hakkio, Craig S & Rush, Mark, 1991. "Is the Budget Deficit "Too Large?"," Economic Inquiry, Western Economic Association International, vol. 29(3), pages 429-445, July.
    36. Su, Liangjun & Ullah, Aman, 2006. "Profile likelihood estimation of partially linear panel data models with fixed effects," Economics Letters, Elsevier, vol. 92(1), pages 75-81, July.
    37. Silika Prohl & Friedrich G. Schneider, 2006. "Sustainability of Public Debt and Budget Deficit: Panel cointegration analysis for the European Union Member countries," Economics working papers 2006-10, Department of Economics, Johannes Kepler University Linz, Austria.
    38. Fournier, Jean-Marc & Fall, Falilou, 2017. "Limits to government debt sustainability in OECD countries," Economic Modelling, Elsevier, vol. 66(C), pages 30-41.
    39. Manuel Arellano & Stephen Bond, 1991. "Some Tests of Specification for Panel Data: Monte Carlo Evidence and an Application to Employment Equations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(2), pages 277-297.
    40. Inyoung Kim & Noah D. Cohen & Raymond J. Carroll, 2003. "Semiparametric Regression Splines in Matched Case-Control Studies," Biometrics, The International Biometric Society, vol. 59(4), pages 1158-1169, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Bhattacharya, Rudrani & C. Prasanth & Rao, R. Kavita, 2024. "How much Debt is Optimal for the Major Indian States? Economic Growth vs. Debt Sustainability," Working Papers 24/411, National Institute of Public Finance and Policy.

    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. María del Carmen Ramos-Herrera & Simón Sosvilla-Rivero, 2020. "Fiscal Sustainability in Aging Societies: Evidence from Euro Area Countries," Sustainability, MDPI, vol. 12(24), pages 1-20, December.
    2. Owusu Benjamin, 2021. "Fiscal Sustainability Hypothesis Test in Central and Eastern Europe: A Panel Data Perspective," Central European Economic Journal, Sciendo, vol. 8(55), pages 285-312, January.
    3. Paniagua, Jordi & Sapena, Juan & Tamarit, Cecilio, 2017. "Fiscal sustainability in EMU countries: A continued fiscal commitment?," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 50(C), pages 85-97.
    4. Magulsha George & K. R. Shanmugam, 2022. "Public Debt and External Debt Sustainability among BRICS Countries," Margin: The Journal of Applied Economic Research, National Council of Applied Economic Research, vol. 16(3-4), pages 231-253, August.
    5. Beqiraj, Elton & Fedeli, Silvia & Forte, Francesco, 2018. "Public debt sustainability: An empirical study on OECD countries," Journal of Macroeconomics, Elsevier, vol. 58(C), pages 238-248.
    6. Markus Reischmann, 2016. "Empirical Studies on Public Debt and Fiscal Transfers," ifo Beiträge zur Wirtschaftsforschung, ifo Institute - Leibniz Institute for Economic Research at the University of Munich, number 63.
    7. António Afonso & Christophe Rault, 2010. "What do we really know about fiscal sustainability in the EU? A panel data diagnostic," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 145(4), pages 731-755, January.
    8. Niklas Potrafke & Markus Reischmann, 2015. "Fiscal Transfers and Fiscal Sustainability," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 47(5), pages 975-1005, August.
    9. Niklas Potrafke & Markus Reischmann, 2012. "Fiscal Equalization Schemes and Fiscal Sustainability," ifo Working Paper Series 141, ifo Institute - Leibniz Institute for Economic Research at the University of Munich.
    10. Canofari, Paolo & Marini, Giancarlo & Piergallini, Alessandro, 2020. "Financial Crisis and Sustainability of US Fiscal Deficit: Indicators or Tests?," Journal of Policy Modeling, Elsevier, vol. 42(1), pages 192-204.
    11. Lawrence Ogbeifun & Olatunji Shobande, 2020. "Debt sustainability and the fiscal reaction function: evidence from MIST countries," Future Business Journal, Springer, vol. 6(1), pages 1-8, December.
    12. K. R. Shanmugam & P.S. Renjith, 2023. "Sustainability and Threshold Value of Public Debt of Centre and All State Governments in India," Working Papers 2023-240, Madras School of Economics,Chennai,India.
    13. R. Golinelli & I. Mammi & A. Musolesi, 2018. "Parameter heterogeneity, persistence and cross-sectional dependence: new insights on fiscal policy reaction functions for the Euro area," Working Papers wp1120, Dipartimento Scienze Economiche, Universita' di Bologna.
    14. Malte Rengel, 2020. "Sustainability of European fiscal balances: Just a statistical artifact?," Empirical Economics, Springer, vol. 58(4), pages 1681-1712, April.
    15. Gabriel Temesgen Woldu & Izabella Szakálné Kanó, 2024. "Primary surplus dynamics and fiscal sustainability in sub-saharan African countries," Economia Politica: Journal of Analytical and Institutional Economics, Springer;Fondazione Edison, vol. 41(2), pages 499-519, July.
    16. Byrne, Joseph P. & Fiess, Norbert & MacDonald, Ronald, 2011. "The global dimension to fiscal sustainability," Journal of Macroeconomics, Elsevier, vol. 33(2), pages 137-150, June.
    17. Serhan Cevik & Vibha Nanda, 2020. "Riding the storm: fiscal sustainability in the Caribbean," International Review of Applied Economics, Taylor & Francis Journals, vol. 34(3), pages 384-399, May.
    18. Cho, Dooyeon & Lee, Kyung-woo, 2022. "Population aging and fiscal sustainability: Nonlinear evidence from Europe," Journal of International Money and Finance, Elsevier, vol. 126(C).
    19. Giancarlo Marini & Alessandro Piergallini, 2008. "Indicators and Tests of Fiscal Sustainability: An Integrated Approach," CEIS Research Paper 111, Tor Vergata University, CEIS, revised 11 Jul 2008.
    20. Jakob Korbinian Eberl, 2016. "The Collateral Framework of the Eurosystem and Its Fiscal Implications," ifo Beiträge zur Wirtschaftsforschung, ifo Institute - Leibniz Institute for Economic Research at the University of Munich, number 69.

    More about this item

    Keywords

    Debt sustainability; Fiscal response function; Panel spline estimation;
    All these keywords.

    JEL classification:

    • H63 - Public Economics - - National Budget, Deficit, and Debt - - - Debt; Debt Management; Sovereign Debt
    • E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy; Modern Monetary Theory

    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:spr:empeco:v:64:y:2023:i:3:d:10.1007_s00181-022-02284-8. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.