IDEAS home Printed from https://ideas.repec.org/p/osk/wpaper/1208.html
   My bibliography  Save this paper

Dynamic analysis of reductions in public debt in an endogenous growth model with public capital

Author

Listed:
  • Noritaka Maebayashi

    (Graduate School of Economics, Osaka University)

  • Takeo Hori

    (College of Economics, Aoyama Gakuin University)

  • Koichi Futagami

    (Graduate School of Economics, Osaka University)

Abstract

We construct an endogenous growth model with productive public capital and government debt when government debt is adjusted to the target level. We examine how reducing public debt in an economy with a large public debt affects the transition of the economy and welfare. We find that the government faces the following trade off when reducing its debt. In the short run, public investment is reduced to decrease the debt and this has a negative effect on welfare. However, as the interest payments on the debt decrease, public investment begins to increase. Eventually, the government can increase the amount of public investment by more than before. This has a positive effect on welfare, implying that reducing the debt is welfare improving. Furthermore, we find that the adjustment speed of reductions in debt affects welfare crucially. The relationships between the welfare gains and the adjustment speed are U-shaped in many cases. However, they are decreasing monotonically when the tax rate is low and the initial debt?GDP ratio is sufficiently large.

Suggested Citation

  • Noritaka Maebayashi & Takeo Hori & Koichi Futagami, 2012. "Dynamic analysis of reductions in public debt in an endogenous growth model with public capital," Discussion Papers in Economics and Business 12-08, Osaka University, Graduate School of Economics.
    • Handle: RePEc:osk:wpaper:1208
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Huixin Bi & Eric M. Leeper & Campbell Leith, 2013. "Uncertain Fiscal Consolidations," Economic Journal, Royal Economic Society, vol. 0, pages 31-63, February.
    2. Benhabib Jess & Farmer Roger E. A., 1994. "Indeterminacy and Increasing Returns," Journal of Economic Theory, Elsevier, vol. 63(1), pages 19-41, June.
    3. Akira Yakita, 2008. "Ageing and public capital accumulation," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 15(5), pages 582-598, October.
    4. Trimborn, Timo & Koch, Karl-Josef & Steger, Thomas M., 2008. "Multidimensional Transitional Dynamics: A Simple Numerical Procedure," Macroeconomic Dynamics, Cambridge University Press, vol. 12(3), pages 301-319, June.
    5. Fisher, Walter H & Turnovsky, Stephen J, 1998. "Public Investment, Congestion, and Private Capital Accumulation," Economic Journal, Royal Economic Society, vol. 108(447), pages 399-413, March.
    6. Gómez, Manuel A., 2004. "Optimal Fiscal Policy In A Growing Economy With Public Capital," Macroeconomic Dynamics, Cambridge University Press, vol. 8(4), pages 419-435, September.
    7. Ghosh, Sugata & Mourmouras, Iannis A., 2004. "Endogenous growth, welfare and budgetary regimes," Journal of Macroeconomics, Elsevier, vol. 26(4), pages 623-635, December.
    8. Turnovsky, Stephen J., 1997. "Fiscal Policy In A Growing Economy With Public Capital," Macroeconomic Dynamics, Cambridge University Press, vol. 1(3), pages 615-639, September.
    9. Agénor, Pierre-Richard, 2008. "Health and infrastructure in a model of endogenous growth," Journal of Macroeconomics, Elsevier, vol. 30(4), pages 1407-1422, December.
    10. Minea, Alexandru & Villieu, Patrick, 2013. "Debt Policy Rule, Productive Government Spending, And Multiple Growth Paths: A Note," Macroeconomic Dynamics, Cambridge University Press, vol. 17(4), pages 947-954, June.
    11. Coenen, Günter & Mohr, Matthias & Straub, Roland, 2008. "Fiscal consolidation in the euro area: Long-run benefits and short-run costs," Economic Modelling, Elsevier, vol. 25(5), pages 912-932, September.
    12. Greiner, Alfred, 2012. "Public debt in a basic endogenous growth model," Economic Modelling, Elsevier, vol. 29(4), pages 1344-1348.
    13. Forni, Lorenzo & Gerali, Andrea & Pisani, Massimiliano, 2010. "The macroeconomics of fiscal consolidations in euro area countries," Journal of Economic Dynamics and Control, Elsevier, vol. 34(9), pages 1791-1812, September.
    14. Alfred Greiner, 2007. "An Endogenous Growth Model With Public Capital And Sustainable Government Debt," The Japanese Economic Review, Japanese Economic Association, vol. 58(3), pages 345-361, September.
    15. Minea, Alexandru & Villieu, Patrick, 2012. "Persistent Deficit, Growth, And Indeterminacy," Macroeconomic Dynamics, Cambridge University Press, vol. 16(S2), pages 267-283, September.
    16. repec:bla:scandj:v:95:y:1993:i:4:p:607-25 is not listed on IDEAS
    17. Teles, Vladimir K. & Cesar Mussolini, Caio, 2014. "Public debt and the limits of fiscal policy to increase economic growth," European Economic Review, Elsevier, vol. 66(C), pages 1-15.
    18. Chamley, Christophe, 1986. "Optimal Taxation of Capital Income in General Equilibrium with Infinite Lives," Econometrica, Econometric Society, vol. 54(3), pages 607-622, May.
    19. Pedro R.D. Bom & Jenny E. Ligthart, 2014. "What Have We Learned From Three Decades Of Research On The Productivity Of Public Capital?," Journal of Economic Surveys, Wiley Blackwell, vol. 28(5), pages 889-916, December.
    20. Kollintzas, Tryphon & Vassilatos, Vanghelis, 2000. "A small open economy model with transaction costs in foreign capital," European Economic Review, Elsevier, vol. 44(8), pages 1515-1541, August.
    21. Cogan, John F. & Taylor, John B. & Wieland, Volker & Wolters, Maik H., 2013. "Fiscal consolidation strategy," Journal of Economic Dynamics and Control, Elsevier, vol. 37(2), pages 404-421.
    22. 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.
    23. Jang‐Ting Guo & Sharon G. Harrison, 2008. "Useful Government Spending and Macroeconomic (In)stability under Balanced‐Budget Rules," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(3), pages 383-397, June.
    24. Francesca Bastagli & David Coady & Sanjeev Gupta, 2012. "Income Inequality and Fiscal Policy (2nd Edition)," IMF Staff Discussion Notes 12/08R, International Monetary Fund.
    25. Barro, Robert J, 1990. "Government Spending in a Simple Model of Endogenous Growth," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 103-126, October.
    26. David Carey & Harry Tchilinguirian, 2000. "Average Effective Tax Rates on Capital, Labour and Consumption," OECD Economics Department Working Papers 258, OECD Publishing.
    27. Mendoza, Enrique G. & Razin, Assaf & Tesar, Linda L., 1994. "Effective tax rates in macroeconomics: Cross-country estimates of tax rates on factor incomes and consumption," Journal of Monetary Economics, Elsevier, vol. 34(3), pages 297-323, December.
    28. Bruce, Neil & Turnovsky, Stephen J, 1999. "Budget Balance, Welfare, and the Growth Rate: "Dynamic Scoring" of the Long-Run Government Budget," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 31(2), pages 162-186, May.
    29. Erceg, Christopher J. & Lindé, Jesper, 2013. "Fiscal consolidation in a currency union: Spending cuts vs. tax hikes," Journal of Economic Dynamics and Control, Elsevier, vol. 37(2), pages 422-445.
    30. Mr. David Coady & Mr. Sanjeev Gupta, 2012. "Income Inequality and Fiscal Policy," IMF Staff Discussion Notes 2012/008, International Monetary Fund.
    31. Dioikitopoulos, Evangelos V. & Kalyvitis, Sarantis, 2008. "Public capital maintenance and congestion: Long-run growth and fiscal policies," Journal of Economic Dynamics and Control, Elsevier, vol. 32(12), pages 3760-3779, December.
    32. Greiner Alfred, 2007. "The Dynamic Behaviour of an Endogenous Growth Model with Public Capital and Pollution," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 11(2), pages 1-12, May.
    33. Greiner, Alfred, 2008. "Human capital formation, public debt and economic growth," Journal of Macroeconomics, Elsevier, vol. 30(1), pages 415-427, March.
    34. Papageorgiou, Dimitris, 2012. "Fiscal policy reforms in general equilibrium: The case of Greece," Journal of Macroeconomics, Elsevier, vol. 34(2), pages 504-522.
    35. Kalaitzidakis, Pantelis & Kalyvitis, Sarantis, 2004. "On the macroeconomic implications of maintenance in public capital," Journal of Public Economics, Elsevier, vol. 88(3-4), pages 695-712, March.
    36. Futagami, Koichi & Iwaisako, Tatsuro & Ohdoi, Ryoji, 2008. "Debt Policy Rule, Productive Government Spending, And Multiple Growth Paths," Macroeconomic Dynamics, Cambridge University Press, vol. 12(4), pages 445-462, September.
    37. Greiner Alfred, 2011. "Economic Growth, Public Debt and Welfare: Comparing Three Budgetary Rules," German Economic Review, De Gruyter, vol. 12(2), pages 205-222, May.
    38. Greiner, Alfred & Semmler, Willi, 2000. "Endogenous Growth, Government Debt and Budgetary Regimes," Journal of Macroeconomics, Elsevier, vol. 22(3), pages 363-384, July.
    39. Baxter, Marianne & King, Robert G, 1993. "Fiscal Policy in General Equilibrium," American Economic Review, American Economic Association, vol. 83(3), pages 315-334, June.
    40. Akira Kamiguchi & Toshiki Tamai, 2012. "Are Fiscal Sustainability And Stable Balanced Growth Equilibrium Simultaneously Attainable?," Metroeconomica, Wiley Blackwell, vol. 63(3), pages 443-457, July.
    41. Ni, Shawn, 1995. "An empirical analysis on the substitutability between private consumption and government purchases," Journal of Monetary Economics, Elsevier, vol. 36(3), pages 593-605, December.
    42. Real Arai, 2011. "Productive Government Expenditure and Fiscal Sustainability," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 67(4), pages 327-351, 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. Alessandro Piergallini, 2021. "Is fiscal austerity really self‐defeating?," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(6), pages 1228-1260, December.
    2. Chen, Been-Lon, 2007. "Factor taxation and labor supply in a dynamic one-sector growth model," Journal of Economic Dynamics and Control, Elsevier, vol. 31(12), pages 3941-3964, December.
    3. Modesto, Leonor & Nourry, Carine & Seegmuller, Thomas & Venditti, Alain, 2021. "Growth and instability in a small open economy with debt," Mathematical Social Sciences, Elsevier, vol. 112(C), pages 26-37.
    4. Calderon, Cesar & Serven, Luis, 2008. "Infrastructure and economic development in Sub-Saharan Africa," Policy Research Working Paper Series 4712, The World Bank.
    5. Alessandro Piergallini, 2020. "Demographic change and real house prices: a general equilibrium perspective," Journal of Economics, Springer, vol. 130(1), pages 85-102, June.
    6. Maebayashi, Noritaka, 2021. "Paces of fiscal consolidations, fiscal sustainability, and welfare: An overlapping generations approach," MPRA Paper 109059, University Library of Munich, Germany.
    7. Alessandro Piergallini, 2024. "Fiscal Stimulus of Last Resort," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 56(6), pages 1479-1514, September.
    8. Mei‐ying Hu & Ping‐ho Chen & Hsun Chu & Ching‐chong Lai, 2023. "Growth and optimal policies in an R&D‐growth model with imperfect international capital mobility," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 25(4), pages 840-866, August.
    9. Keiichi Morimoto & Takeo Hori & Noritaka Maebayashi & Koichi Futagami, 2017. "Debt Policy Rules in an Open Economy," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 19(1), pages 158-177, February.
    10. Chu, Angus C. & Peretto, Pietro & Wang, Xilin, 2024. "Government spending and industrialization in a Schumpeterian economy," MPRA Paper 120797, University Library of Munich, Germany.
    11. Futagami, Koichi & Konishi, Kunihiko, 2018. "Dynamic analysis of budget policy rules in Japan," Journal of the Japanese and International Economies, Elsevier, vol. 50(C), pages 72-88.
    12. Henry, Nastasia & Venditti, Alain, 2024. "On the (de)stabilization role of protectionism," Journal of Mathematical Economics, Elsevier, vol. 113(C).
    13. Chung-Fu Lai, 2018. "Fiscal Policy and Macroeconomic Fluctuations in a Fixed Exchange Rate Regime," Asian Economic and Financial Review, Asian Economic and Social Society, vol. 8(10), pages 1257-1273, October.
    14. Keiichi Morimoto & Takeo Hori & Noritaka Maebayashi & Koichi Futagami, 2013. "Fiscal Sustainability, Macroeconomic Stability, and Welfare under Fiscal Discipline in a Small Open Economy," Discussion Papers in Economics and Business 13-07, Osaka University, Graduate School of Economics.
    15. 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.
    16. Kazutoshi Miyazawa & Hikaru Ogawa & Toshiki Tamai, 2018. "Tax Competition and Fiscal Sustainability," CIRJE F-Series CIRJE-F-1104, CIRJE, Faculty of Economics, University of Tokyo.
    17. Maebayashi, Noritaka, 2023. "The pace of fiscal consolidations, fiscal sustainability, and welfare: An overlapping generations approach," Journal of Macroeconomics, Elsevier, vol. 75(C).
    18. Murakami, Hiroki & Sasaki, Hiroaki, 2020. "Economic development with public capital accumulation: The crucial role of wage flexibility on business cycles," Economic Modelling, Elsevier, vol. 93(C), pages 299-309.
    19. Barucci, Emilio & Brachetta, Matteo & Marazzina, Daniele, 2023. "On the feasibility of a debt redemption fund," Economic Modelling, Elsevier, vol. 119(C).
    20. Huang, Wei-Chi & Lai, Ching-Chong & Chen, Ping-Ho, 2017. "International R&D funding and patent collateral in an R&D-based growth model," International Review of Economics & Finance, Elsevier, vol. 51(C), pages 545-561.
    21. Miyazawa, Kazutoshi & Ogawa, Hikaru & Tamai, Toshiki, 2019. "Capital market integration and fiscal sustainability," European Economic Review, Elsevier, vol. 120(C).
    22. Kunihiko Konishi, 2013. "Public Research Spending in an Endogenous Growth Model," Discussion Papers in Economics and Business 13-26, Osaka University, Graduate School of Economics.

    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. Maebayashi, Noritaka, 2023. "The pace of fiscal consolidations, fiscal sustainability, and welfare: An overlapping generations approach," Journal of Macroeconomics, Elsevier, vol. 75(C).
    2. 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.
    3. Miyazawa, Kazutoshi & Ogawa, Hikaru & Tamai, Toshiki, 2019. "Capital market integration and fiscal sustainability," European Economic Review, Elsevier, vol. 120(C).
    4. Futagami, Koichi & Konishi, Kunihiko, 2018. "Dynamic analysis of budget policy rules in Japan," Journal of the Japanese and International Economies, Elsevier, vol. 50(C), pages 72-88.
    5. Kazutoshi Miyazawa & Hikaru Ogawa & Toshiki Tamai, 2018. "Tax Competition and Fiscal Sustainability," CIRJE F-Series CIRJE-F-1104, CIRJE, Faculty of Economics, University of Tokyo.
    6. Maebayashi, Noritaka, 2021. "Paces of fiscal consolidations, fiscal sustainability, and welfare: An overlapping generations approach," MPRA Paper 109059, University Library of Munich, Germany.
    7. Keiichi Morimoto & Takeo Hori & Noritaka Maebayashi & Koichi Futagami, 2017. "Debt Policy Rules in an Open Economy," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 19(1), pages 158-177, February.
    8. Keiichi Morimoto & Takeo Hori & Noritaka Maebayashi & Koichi Futagami, 2013. "Fiscal Sustainability, Macroeconomic Stability, and Welfare under Fiscal Discipline in a Small Open Economy," Discussion Papers in Economics and Business 13-07, Osaka University, Graduate School of Economics.
    9. Akira Kamiguchi & Toshiki Tamai, 2017. "Public Investment and Golden Rule of Public Finance in an Overlapping Generations Model," KIER Working Papers 971, Kyoto University, Institute of Economic Research.
    10. Kamiguchi, Akira & Tamai, Toshiki, 2019. "Public investment, public debt, and population aging under the golden rule of public finance," Journal of Macroeconomics, Elsevier, vol. 60(C), pages 110-122.
    11. Tamai, Toshiki, 2016. "Public investment, the rate of return, and optimal fiscal policy in a stochastically growing economy," Journal of Macroeconomics, Elsevier, vol. 49(C), pages 1-17.
    12. Pierre-Richard Agénor & Devrim Yilmaz, 2012. "Simple Dynamics of Public Debt with Productive Public Goods," Centre for Growth and Business Cycle Research Discussion Paper Series 165, Economics, The University of Manchester.
    13. Yasuoka, Masaya & Oguro, Kazumasa, 2015. "Public Education, Pension and Debt Policy," CIS Discussion paper series 649, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
    14. Kunihiko Konishi, 2013. "Public Research Spending in an Endogenous Growth Model," Discussion Papers in Economics and Business 13-26, Osaka University, Graduate School of Economics.
    15. Koichi Futagami & Kunihiko Konishi, 2023. "Comparative analyses of fiscal sustainability of the budgetary policy rules," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 25(5), pages 944-984, October.
    16. Fabienne Lara Dascher, 2020. "Sustainable Debt Policy Rules and Growth in a Small Open Economy Model: Is a Balanced Government Budget Worthwhile?," Comparative Economic Studies, Palgrave Macmillan;Association for Comparative Economic Studies, vol. 62(3), pages 373-397, September.
    17. Andreas Irmen & Johanna Kuehnel, 2009. "Productive Government Expenditure And Economic Growth," Journal of Economic Surveys, Wiley Blackwell, vol. 23(4), pages 692-733, September.
    18. Alessandro Piergallini, 2021. "Is fiscal austerity really self‐defeating?," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(6), pages 1228-1260, December.
    19. García, Concepción González, 2025. "Fiscal consolidation in heavily indebted economies," Journal of Economic Dynamics and Control, Elsevier, vol. 173(C).
    20. Gupta, Manash Ranjan & Barman, Trishita Ray, 2010. "Health, infrastructure, environment and endogenous growth," Journal of Macroeconomics, Elsevier, vol. 32(2), pages 657-673, June.

    More about this item

    Keywords

    Reductions in public debt; Debt policy rule; Public capital; Endogenous Growth;
    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
    • H54 - Public Economics - - National Government Expenditures and Related Policies - - - Infrastructures
    • H63 - Public Economics - - National Budget, Deficit, and Debt - - - Debt; Debt Management; Sovereign 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:osk:wpaper:1208. 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: The Economic Society of Osaka University (email available below). General contact details of provider: https://edirc.repec.org/data/feosujp.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.