[go: up one dir, main page]
More Web Proxy on the site http://driver.im/
IDEAS home Printed from https://ideas.repec.org/p/tin/wpaper/20200079.html
   My bibliography  Save this paper

Debt sustainability when r - g smaller than 0: no free lunch after all

Author

Listed:
  • Sweder van Wijnbergen

    (University of Amsterdam)

  • Stan Olijslagers

    (University of Amsterdam)

  • Nander de Vette

    (De Nederlandsche Bank)

Abstract
Interest rates on public debt have for several years now fallen short of GDP growth rates in much of the Western world. In his presidential address to the AEA Blanchard argued that this implies that there are no fiscal costs to high debt (Blanchard, 2019). In this paper we argue that the safe rate is not the right interest rate to use for that comparison. We develop a General Equilibrium Asset Pricing model and econometrically estimate the relevant characteristics of the stochastic processes driving the primary surplus in relation to the growth rate of aggregate consumption and derive the proper risk premium. The resulting interest rate exceeds the growth rate. We then calculate the discounted value of future primary surpluses using the same stochastic process for the primary surplus and compare that to the market value of the (Dutch) public sector debt. We test various explanations for the gap between these two and derive the fiscal adjustment necessary to eliminate it (the "fiscal sustainability gap").

Suggested Citation

  • Sweder van Wijnbergen & Stan Olijslagers & Nander de Vette, 2020. "Debt sustainability when r - g smaller than 0: no free lunch after all," Tinbergen Institute Discussion Papers 20-079/VI, Tinbergen Institute.
  • Handle: RePEc:tin:wpaper:20200079
    as

    Download full text from publisher

    File URL: https://papers.tinbergen.nl/20079.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Camba-Méndez, Gonzalo & Werner, Thomas, 2017. "The inflation risk premium in the post-Lehman period," Working Paper Series 2033, European Central Bank.
    2. Olivier Blanchard, 2019. "Public Debt and Low Interest Rates," American Economic Review, American Economic Association, vol. 109(4), pages 1197-1229, April.
    3. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66(6), pages 467-467.
    4. Andrew B. Abel & N. Gregory Mankiw & Lawrence H. Summers & Richard J. Zeckhauser, 1989. "Assessing Dynamic Efficiency: Theory and Evidence," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(1), pages 1-19.
    5. George J. Hall & Thomas J. Sargent, 2011. "Interest Rate Risk and Other Determinants of Post-WWII US Government Debt/GDP Dynamics," American Economic Journal: Macroeconomics, American Economic Association, vol. 3(3), pages 192-214, July.
    6. Bekaert, Geert & Hoerova, Marie & Lo Duca, Marco, 2013. "Risk, uncertainty and monetary policy," Journal of Monetary Economics, Elsevier, vol. 60(7), pages 771-788.
    7. Larry G. Epstein & Stanley E. Zin, 2013. "Substitution, risk aversion and the temporal behavior of consumption and asset returns: A theoretical framework," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 12, pages 207-239, World Scientific Publishing Co. Pte. Ltd..
    8. Bohn, Henning, 1991. "The Sustainability of Budget Deficits with Lump-Sum and with Income-Based Taxation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 23(3), pages 580-604, August.
    9. Dilip Abreu & Markus K. Brunnermeier, 2003. "Bubbles and Crashes," Econometrica, Econometric Society, vol. 71(1), pages 173-204, January.
    10. Stephen A. Ross, 2013. "The Arbitrage Theory of Capital Asset Pricing," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 1, pages 11-30, World Scientific Publishing Co. Pte. Ltd..
    11. Bekaert, Geert & Hoerova, Marie, 2014. "The VIX, the variance premium and stock market volatility," Journal of Econometrics, Elsevier, vol. 183(2), pages 181-192.
    12. Duffie, Darrell & Epstein, Larry G, 1992. "Stochastic Differential Utility," Econometrica, Econometric Society, vol. 60(2), pages 353-394, March.
    13. Evans, George W, 1991. "Pitfalls in Testing for Explosive Bubbles in Asset Prices," American Economic Review, American Economic Association, vol. 81(4), pages 922-930, September.
    14. Robert J. Barro, 2006. "Rare Disasters and Asset Markets in the Twentieth Century," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(3), pages 823-866.
    15. Tirole, Jean, 1982. "On the Possibility of Speculation under Rational Expectations," Econometrica, Econometric Society, vol. 50(5), pages 1163-1181, September.
    16. Olivier J Blanchard, 2019. "Public Debt: Fiscal and Welfare Costs in a Time of Low Interest Rates," Policy Briefs PB19-2, Peterson Institute for International Economics.
    17. Epstein, Larry G & Zin, Stanley E, 1991. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: An Empirical Analysis," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 263-286, April.
    18. De Santis, Roberto A. & Stein, Michael, 2015. "Financial indicators signaling correlation changes in sovereign bond markets," Journal of Banking & Finance, Elsevier, vol. 56(C), pages 86-102.
    19. Markus K. Brunnermeier & Sebastian A. Merkel & Yuliy Sannikov, 2020. "The Fiscal Theory of Price Level with a Bubble," NBER Working Papers 27116, National Bureau of Economic Research, Inc.
    20. 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.
    21. Kenneth D. West, 1987. "A Specification Test for Speculative Bubbles," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(3), pages 553-580.
    22. Sims, Christopher A., 2011. "Stepping on a rake: The role of fiscal policy in the inflation of the 1970s," European Economic Review, Elsevier, vol. 55(1), pages 48-56, January.
    23. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    24. Abel, Andrew B., 1999. "Risk premia and term premia in general equilibrium," Journal of Monetary Economics, Elsevier, vol. 43(1), pages 3-33, February.
    25. Fernando M. Duarte & Carlo Rosa, 2015. "The equity risk premium: a review of models," Economic Policy Review, Federal Reserve Bank of New York, issue 2, pages 39-57.
    26. Olivier J. Blanchard & Mark W. Watson, 1982. "Bubbles, Rational Expectations and Financial Markets," NBER Working Papers 0945, National Bureau of Economic Research, Inc.
    27. Campbell, John Y. & Sunderam, Adi & Viceira, Luis M., 2017. "Inflation Bets or Deflation Hedges? The Changing Risks of Nominal Bonds," Critical Finance Review, now publishers, vol. 6(2), pages 263-301, September.
    28. Woodford, Michael, 1995. "Price-level determinacy without control of a monetary aggregate," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 43(1), pages 1-46, December.
    29. Jessica A. Wachter, 2013. "Can Time-Varying Risk of Rare Disasters Explain Aggregate Stock Market Volatility?," Journal of Finance, American Finance Association, vol. 68(3), pages 987-1035, June.
    30. Duffie, Darrel & Lions, Pierre-Louis, 1992. "PDE solutions of stochastic differential utility," Journal of Mathematical Economics, Elsevier, vol. 21(6), pages 577-606.
    31. Rietz, Thomas A., 1988. "The equity risk premium a solution," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 117-131, July.
    32. Peter C. B. Phillips & Shuping Shi & Jun Yu, 2015. "Testing For Multiple Bubbles: Historical Episodes Of Exuberance And Collapse In The S&P 500," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 56, pages 1043-1078, November.
    33. Geis, André & Kapp, Daniel & Kristiansen, Kristian, 2018. "Measuring and interpreting the cost of equity in the euro area," Economic Bulletin Articles, European Central Bank, vol. 4.
    34. Robert J. Barro, 2009. "Rare Disasters, Asset Prices, and Welfare Costs," American Economic Review, American Economic Association, vol. 99(1), pages 243-264, March.
    35. Nick Draper & Alex Armstrong, 2007. "GAMMA; a simulation model for ageing, pensions and public finances," CPB Document 147.rdf, CPB Netherlands Bureau for Economic Policy Analysis.
    36. Bohn, Henning, 1999. "Fiscal Policy and the Mehra-Prescott Puzzle: On the Welfare Implications of Budget Deficits When Real Interest Rates Are Low," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 31(1), pages 1-13, February.
    37. Anand, Ritu & van Wijnbergen, Sweder, 1989. "Inflation and the Financing of Government Expenditure: An Introductory Analysis with an Application to Turkey," The World Bank Economic Review, World Bank, vol. 3(1), pages 17-38, January.
    38. Ostry, Jonathan D. & Debrun, Xavier & Willems, Tim & Wyplosz, Charles, 2019. "Public Debt Sustainability," CEPR Discussion Papers 14010, C.E.P.R. Discussion Papers.
    39. Longstaff, Francis A. & Piazzesi, Monika, 2004. "Corporate earnings and the equity premium," Journal of Financial Economics, Elsevier, vol. 74(3), pages 401-421, December.
    40. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    41. Nick Draper & Alex Armstrong, 2007. "GAMMA; a simulation model for ageing, pensions and public finances," CPB Document 147, CPB Netherlands Bureau for Economic Policy Analysis.
    42. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
    43. Olivier Jean Blanchard & Stanley Fischer, 1989. "Lectures on Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262022834, April.
    44. Sargent, Thomas J & Wallace, Neil, 1982. "The Real-Bills Doctrine versus the Quantity Theory: A Reconsideration," Journal of Political Economy, University of Chicago Press, vol. 90(6), pages 1212-1236, December.
    45. Robert J. Barro & Jose F. Ursua, 2008. "Macroeconomic Crises since 1870," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 39(1 (Spring), pages 255-350.
    46. Cochrane, John H., 2018. "Stepping on a rake: The fiscal theory of monetary policy," European Economic Review, Elsevier, vol. 101(C), pages 354-375.
    47. 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.
    48. Duffie, Darrell & Epstein, Larry G, 1992. "Asset Pricing with Stochastic Differential Utility," The Review of Financial Studies, Society for Financial Studies, vol. 5(3), pages 411-436.
    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. Jussi Lindgren, 2021. "Examination of Interest-Growth Differentials and the Risk of Sovereign Insolvency," Risks, MDPI, vol. 9(4), pages 1-14, April.

    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. van Wijnbergen, Sweder & Olijslagers, Stan & de Vette, Nander, 2020. "Debt sustainability when r - g," CEPR Discussion Papers 15478, C.E.P.R. Discussion Papers.
    2. Karydas, Christos & Xepapadeas, Anastasios, 2022. "Climate change financial risks: Implications for asset pricing and interest rates," Journal of Financial Stability, Elsevier, vol. 63(C).
    3. Robert Barro, 2023. "r Minus g," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 48, pages 1-17, April.
    4. Stan Olijslagers & Sweder van Wijnbergen, 2019. "Discounting the Future: on Climate Change, Ambiguity Aversion and Epstein-Zin Preferences," Tinbergen Institute Discussion Papers 19-030/VI, Tinbergen Institute.
    5. Lewis, Karen K. & Liu, Edith X., 2017. "Disaster risk and asset returns: An international perspective," Journal of International Economics, Elsevier, vol. 108(S1), pages 42-58.
    6. Olijslagers, Stan & van der Ploeg, Frederick & van Wijnbergen, Sweder, 2023. "On current and future carbon prices in a risky world," Journal of Economic Dynamics and Control, Elsevier, vol. 146(C).
    7. Max Gillman & Michal Kejak & Michal Pakoš, 2015. "Learning about Rare Disasters: Implications For Consumption and Asset Prices," Review of Finance, European Finance Association, vol. 19(3), pages 1053-1104.
    8. Aase, Knut K., 2014. "Recursive utility and jump-diffusions," Discussion Papers 2014/9, Norwegian School of Economics, Department of Business and Management Science.
    9. Sang Byung Seo & Jessica A. Wachter, 2019. "Option Prices in a Model with Stochastic Disaster Risk," Management Science, INFORMS, vol. 65(8), pages 3449-3469, August.
    10. Volker Wieland & Christos Koulovatianos, 2011. "Asset Pricing under Rational Learning about Rare Disasters," 2011 Meeting Papers 1417, Society for Economic Dynamics.
    11. Thomas Douenne, 2020. "Disaster Risks, Disaster Strikes, and Economic Growth: the Role of Preferences," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 38, pages 251-272, October.
    12. Sang Byung Seo & Jessica A. Wachter, 2013. "Option Prices in a Model with Stochastic Disaster Risk," NBER Working Papers 19611, National Bureau of Economic Research, Inc.
    13. Roberto Marfè & Julien Penasse, 2016. "The Time-Varying Risk of Macroeconomic Disasters," Carlo Alberto Notebooks 463, Collegio Carlo Alberto.
    14. Jerry Tsai & Jessica A. Wachter, 2015. "Disaster Risk and its Implications for Asset Pricing," NBER Working Papers 20926, National Bureau of Economic Research, Inc.
    15. Jerry Tsai & Jessica A. Wachter, 2014. "Rare Booms and Disasters in a Multi-sector Endowment Economy," NBER Working Papers 20062, National Bureau of Economic Research, Inc.
    16. Pakoš, Michal, 2013. "Long-run risk and hidden growth persistence," Journal of Economic Dynamics and Control, Elsevier, vol. 37(9), pages 1911-1928.
    17. Du, Du, 2013. "General equilibrium pricing of currency and currency options," Journal of Financial Economics, Elsevier, vol. 110(3), pages 730-751.
    18. Huang, Darien & Kilic, Mete, 2019. "Gold, platinum, and expected stock returns," Journal of Financial Economics, Elsevier, vol. 132(3), pages 50-75.
    19. Christos Karydas & Anastasios Xepapadeas, 2019. "Climate change risks: pricing and portfolio allocation," CER-ETH Economics working paper series 19/327, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
    20. Zhengyang Jiang & Hanno Lustig & Stijn Van Nieuwerburgh & Mindy Z. Xiaolan, 2020. "Manufacturing Risk-free Government Debt," NBER Working Papers 27786, National Bureau of Economic Research, Inc.

    More about this item

    Keywords

    Debt valuation; sustainable deficits; fiscal adjustment gap;
    All these keywords.

    JEL classification:

    • H6 - Public Economics - - National Budget, Deficit, and Debt
    • H62 - Public Economics - - National Budget, Deficit, and Debt - - - Deficit; Surplus
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

    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:tin:wpaper:20200079. 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: Tinbergen Office +31 (0)10-4088900 (email available below). General contact details of provider: https://edirc.repec.org/data/tinbenl.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.