IDEAS home Printed from https://ideas.repec.org/a/red/issued/23-10.html
   My bibliography  Save this article

Low safe interest rates: A case for dynamic inefficiency?

Author

Listed:
  • Gaetano Bloise

    (Tor Vergata University of Rome)

  • Pietro Reichlin

    (LUISS 'Guido Carli')

Abstract

We reexamine the tests for dynamic inefficiency in productive overlapping-generations economies with stochastic growth. Contrary to certain claims in the recent literature, we argue that the size of real safe interest rates relative to average GDP growth is an inconclusive test for dynamic inefficiency. A more accurate test should take into account the correlation between growth and the marginal utility of wealth. We provide an exhaustive criterion based on the growth-adjusted dominant root of the stochastic discount factor emerging at the competitive equilibrium. Surprisingly, a preliminary rough empirical application of this criterion uncovers dynamic inefficiency of the US economy for any reasonable degree of risk aversion. We also distinguish capital overaccumulation from an inefficient distribution of consumption risk. The refined test for capital overaccumulation is rather stringent: Capital is not overaccumulated if the net dividend remains positive with some probability, as opposed to always, as in the original Abel et al.'s formulation. (Copyright: Elsevier)

Suggested Citation

  • Gaetano Bloise & Pietro Reichlin, 2023. "Low safe interest rates: A case for dynamic inefficiency?," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 51, pages 633-656, December.
  • Handle: RePEc:red:issued:23-10
    DOI: 10.1016/j.red.2023.06.005
    as

    Download full text from publisher

    File URL: https://dx.doi.org/10.1016/j.red.2023.06.005
    Download Restriction: Access to full texts is restricted to ScienceDirect subscribers and institutional members. See https://www.sciencedirect.com/ for details.

    File URL: https://libkey.io/10.1016/j.red.2023.06.005?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. Del Negro, Marco & Giannone, Domenico & Giannoni, Marc P. & Tambalotti, Andrea, 2019. "Global trends in interest rates," Journal of International Economics, Elsevier, vol. 118(C), pages 248-262.
    2. Manuel S. Santos & Michael Woodford, 1997. "Rational Asset Pricing Bubbles," Econometrica, Econometric Society, vol. 65(1), pages 19-58, January.
    3. Martin F. Hellwig, 2021. "Safe Assets, Risky Assets, and Dynamic Inefficiency in Overlapping-Generations Economies," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2021_10, Max Planck Institute for Research on Collective Goods.
    4. Olivier Blanchard, 2019. "Public Debt and Low Interest Rates," American Economic Review, American Economic Association, vol. 109(4), pages 1197-1229, April.
    5. Marco Bassetto & Wei Cui, 2018. "The Fiscal Theory of the Price Level in an Environment of Low Interest Rates," 2018 Meeting Papers 574, Society for Economic Dynamics.
    6. Aiyagari, S. Rao & McGrattan, Ellen R., 1998. "The optimum quantity of debt," Journal of Monetary Economics, Elsevier, vol. 42(3), pages 447-469, October.
    7. 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.
    8. Timothy M. Christensen, 2017. "Nonparametric Stochastic Discount Factor Decomposition," Econometrica, Econometric Society, vol. 85, pages 1501-1536, September.
    9. Chattopadhyay, Subir, 2008. "The Cass criterion, the net dividend criterion, and optimality," Journal of Economic Theory, Elsevier, vol. 139(1), pages 335-352, March.
    10. Chattopadhyay, Subir & Gottardi, Piero, 1999. "Stochastic OLG Models, Market Structure, and Optimality," Journal of Economic Theory, Elsevier, vol. 89(1), pages 21-67, November.
    11. Lars Peter Hansen & José A. Scheinkman, 2009. "Long-Term Risk: An Operator Approach," Econometrica, Econometric Society, vol. 77(1), pages 177-234, January.
    12. Bassetto, Marco & Cui, Wei, 2018. "The fiscal theory of the price level in a world of low interest rates," Journal of Economic Dynamics and Control, Elsevier, vol. 89(C), pages 5-22.
    13. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(3), pages 659-684.
    14. Blanchard Olivier & Weil Philippe, 2001. "Dynamic Efficiency, the Riskless Rate, and Debt Ponzi Games under Uncertainty," The B.E. Journal of Macroeconomics, De Gruyter, vol. 1(2), pages 1-23, November.
    15. Fernando Alvarez & Urban J. Jermann, 2005. "Using Asset Prices to Measure the Persistence of the Marginal Utility of Wealth," Econometrica, Econometric Society, vol. 73(6), pages 1977-2016, November.
    16. Balasko, Yves & Shell, Karl, 1980. "The overlapping-generations model, I: The case of pure exchange without money," Journal of Economic Theory, Elsevier, vol. 23(3), pages 281-306, December.
    17. Manuelli, Rodolfo, 1990. "Existence and optimality of currency equilibrium in stochastic overlapping generations models: The pure endowment case," Journal of Economic Theory, Elsevier, vol. 51(2), pages 268-294, August.
    18. 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.
    19. Zilcha, Itzhak, 1991. "Characterizing efficiency in stochastic overlapping generations models," Journal of Economic Theory, Elsevier, vol. 55(1), pages 1-16, October.
    20. Kurt G. Lunsford & Kenneth D. West, 2019. "Some Evidence on Secular Drivers of US Safe Real Rates," American Economic Journal: Macroeconomics, American Economic Association, vol. 11(4), pages 113-139, October.
    21. Bloise, Gaetano & Reichlin, Pietro, 2011. "Asset prices, debt constraints and inefficiency," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1520-1546, July.
    22. Rao Aiyagari, S. & Peled, Dan, 1991. "Dominant root characterization of Pareto optimality and the existence of optimal equilibria in stochastic overlapping generations models," Journal of Economic Theory, Elsevier, vol. 54(1), pages 69-83, June.
    23. 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.
    24. Philippe Weil & Olivier Blanchard, 2001. "Debt Ponzi games and dynamic efficiency under uncertainty," ULB Institutional Repository 2013/13442, ULB -- Universite Libre de Bruxelles.
    25. Barbie, Martin & Hagedorn, Marcus & Kaul, Ashok, 2007. "On the interaction between risk sharing and capital accumulation in a stochastic OLG model with production," Journal of Economic Theory, Elsevier, vol. 137(1), pages 568-579, November.
    26. Marco Bassetto & Thomas J. Sargent, 2020. "Shotgun Wedding: Fiscal and Monetary Policy," Annual Review of Economics, Annual Reviews, vol. 12(1), pages 659-690, August.
    27. Huggett, Mark, 1993. "The risk-free rate in heterogeneous-agent incomplete-insurance economies," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 953-969.
    28. Peled, Dan, 1982. "Informational diversity over time and the optimality of monetary equilibria," Journal of Economic Theory, Elsevier, vol. 28(2), pages 255-274, December.
    29. Barbie Martin & Hagedorn Marcus & Kaul Ashok, 2004. "Assessing Aggregate Tests of Efficiency for Dynamic Economies," The B.E. Journal of Macroeconomics, De Gruyter, vol. 4(1), pages 1-17, December.
    30. Timothy Christensen, 2014. "Nonparametric Stochastic Discount Factor Decomposition," Papers 1412.4428, arXiv.org, revised May 2017.
    31. Andrew B. Abel & Stavros Panageas, 2022. "Running Primary Deficits Forever in a Dynamically Efficient Economy: Feasibility and Optimality," NBER Working Papers 30554, National Bureau of Economic Research, Inc.
    32. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    Full references (including those not matched with items on IDEAS)

    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. Gersbach, Hans & Rochet, Jean-Charles & von Thadden, Ernst-Ludwig, 2023. "Public Debt and the Balance Sheet of the Private Sector," TSE Working Papers 23-1412, Toulouse School of Economics (TSE).
    2. Julia, Knolle, 2014. "An Empirical Comparison of Interest and Growth Rates," MPRA Paper 59520, University Library of Munich, Germany.
    3. Barbie, Martin & Hagedorn, Marcus & Kaul, Ashok, 2001. "Government Debt as Insurance against Macroeconomic Risk," IZA Discussion Papers 412, Institute of Labor Economics (IZA).
    4. Narayana R. Kocherlakota, 2023. "Infinite Debt Rollover in Stochastic Economies," Econometrica, Econometric Society, vol. 91(5), pages 1629-1658, September.
    5. Chattopadhyay, Subir, 2018. "The unit root property and optimality with a continuum of states—Pure exchange," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 105-118.
    6. Bloise, Gaetano & Reichlin, Pietro, 2011. "Asset prices, debt constraints and inefficiency," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1520-1546, July.
    7. Robert Barro, 2023. "r Minus g," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 48, pages 1-17, April.
    8. Blanchard Olivier & Weil Philippe, 2001. "Dynamic Efficiency, the Riskless Rate, and Debt Ponzi Games under Uncertainty," The B.E. Journal of Macroeconomics, De Gruyter, vol. 1(2), pages 1-23, November.
    9. Maurice Obstfeld & Kenneth Rogoff, 2021. "Revisiting speculative hyperinflations in monetary models," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 40, pages 1-11, April.
    10. Barbie, Martin & Hagedorn, Marcus & Kaul, Ashok, 2000. "Dynamic Efficiency and Pareto Optimality in a Stochastic OLG Model with Production and Social Security," IZA Discussion Papers 209, Institute of Labor Economics (IZA).
    11. Stefan Homburg, 2014. "Overaccumulation, Public Debt and the Importance of Land," German Economic Review, Verein für Socialpolitik, vol. 15(4), pages 411-435, November.
    12. Bayer, Christian & Born, Benjamin & Luetticke, Ralph, 2023. "The liquidity channel of fiscal policy," Journal of Monetary Economics, Elsevier, vol. 134(C), pages 86-117.
    13. Philippe Weil, 2008. "Overlapping Generations: The First Jubilee," Journal of Economic Perspectives, American Economic Association, vol. 22(4), pages 115-134, Fall.
    14. Bertocchi, Graziella & Kehagias, Athanasios, 1995. "Efficiency and optimality in stochastic models with production," Journal of Economic Dynamics and Control, Elsevier, vol. 19(1-2), pages 303-325.
    15. Kevin Luo & Tomoko Kinugasa & Kai Kajitani, 2018. "Dynamic efficiency in world economy," Discussion Papers 1801, Graduate School of Economics, Kobe University.
    16. Wigniolle, B., 2014. "Optimism, pessimism and financial bubbles," Journal of Economic Dynamics and Control, Elsevier, vol. 41(C), pages 188-208.
    17. Borovička, Jaroslav & Stachurski, John, 2021. "Stability of equilibrium asset pricing models: A necessary and sufficient condition," Journal of Economic Theory, Elsevier, vol. 193(C).
    18. Markus K. Brunnermeier & Sebastian, Sannikov, Yuliy Merkel & Sebastian Merkel, 2021. "Debt as Safe Asset," CESifo Working Paper Series 9500, CESifo.
    19. 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.
    20. Mark Aguiar & Manuel Amador & Cristina Arellano, 2021. "Micro Risks and Pareto Improving Policies with Low Interest Rates," Staff Report 625, Federal Reserve Bank of Minneapolis.

    More about this item

    Keywords

    Dynamic inefficiency; Capital overaccumulation; Low interest rates; Dominant root;
    All these keywords.

    JEL classification:

    • D60 - Microeconomics - - Welfare Economics - - - General
    • G1 - Financial Economics - - General Financial Markets
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy; Modern Monetary Theory
    • H2 - Public Economics - - Taxation, Subsidies, and Revenue
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation

    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:red:issued:23-10. 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: Christian Zimmermann (email available below). General contact details of provider: https://edirc.repec.org/data/sedddea.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.