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Dynamics and synchronization of global equilibrium interest rates

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  • Beyer, Robert
  • Milivojevic, Lazar

Abstract

With the COVID-19 pandemic, the intense debate about secular stagnation will become even more important. Empirical estimates of equilibrium real interest rates are so far mostly limited to advanced economies, since no statistical procedure suitable for a large set of countries is available. This is surprising, as equilibrium rates have strong policy implications in emerging markets and developing economies as well; current estimates of the global equilibrium rate rely on only a few countries; and estimates for a more diverse set of countries can improve understanding of the drivers. This paper proposes a model and estimation strategy that decompose ex ante real interest rates into a permanent and transitory component even with short samples and high volatility. This is done with an unobserved component local level stochastic volatility model, which is used to estimate equilibrium rates for 50 countries with Bayesian methods. Equilibrium rates were lower in emerging markets and developing economies than in advanced economies in the 1980s, similar in the 1990s, and have been higher since 2000. In line with economic integration and rising global capital markets, synchronization has been rising over time and is higher among advanced economies. Equilibrium rates of countries with stronger trade linkages and similar demographic and economic trends are more synchronized.

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  • Beyer, Robert & Milivojevic, Lazar, 2021. "Dynamics and synchronization of global equilibrium interest rates," IMFS Working Paper Series 146, Goethe University Frankfurt, Institute for Monetary and Financial Stability (IMFS).
  • Handle: RePEc:zbw:imfswp:146
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    1. Etienne Gagnon & Benjamin K. Johannsen & David López-Salido, 2021. "Understanding the New Normal: The Role of Demographics," IMF Economic Review, Palgrave Macmillan;International Monetary Fund, vol. 69(2), pages 357-390, June.
    2. Roberto S. Mariano & Yasutomo Murasawa, 2003. "A new coincident index of business cycles based on monthly and quarterly series," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(4), pages 427-443.
    3. Mark A. Wynne & Ren Zhang, 2018. "Measuring The World Natural Rate Of Interest," Economic Inquiry, Western Economic Association International, vol. 56(1), pages 530-544, January.
    4. Frankel, Jeffrey A & Rose, Andrew K, 1998. "The Endogeneity of the Optimum Currency Area Criteria," Economic Journal, Royal Economic Society, vol. 108(449), pages 1009-1025, July.
    5. Krueger, Dirk & Ludwig, Alexander, 2007. "On the consequences of demographic change for rates of returns to capital, and the distribution of wealth and welfare," Journal of Monetary Economics, Elsevier, vol. 54(1), pages 49-87, January.
    6. Gabriele Fiorentini & Alessandro Galesi & Gabriel Pérez-Quirós & Enrique Sentana, 2018. "The rise and fall of the natural interest rate," Working Papers 1822, Banco de España.
    7. 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.
    8. Cukierman, Alex, 2016. "Reflections on the natural rate of interest, its measurement, monetary policy and the zero lower bound," CEPR Discussion Papers 11467, C.E.P.R. Discussion Papers.
    9. Grassi Stefano & Proietti Tommaso, 2010. "Has the Volatility of U.S. Inflation Changed and How?," Journal of Time Series Econometrics, De Gruyter, vol. 2(1), pages 1-22, September.
    10. Klose, Jens, 2020. "Equilibrium real interest rates for the BRICS countries," The Journal of Economic Asymmetries, Elsevier, vol. 21(C).
    11. Mikael Juselius & Claudio Borio & Piti Disyatat & Mathias Drehmann, 2017. "Monetary Policy, the Financial Cycle, and Ultra-Low Interest Rates," International Journal of Central Banking, International Journal of Central Banking, vol. 13(3), pages 55-89, September.
    12. Mengheng Li & Siem Jan (S.J.) Koopman, 2018. "Unobserved Components with Stochastic Volatility in U.S. Inflation: Estimation and Signal Extraction," Tinbergen Institute Discussion Papers 18-027/III, Tinbergen Institute.
    13. Oscar Jorda & Sanjay R. Singh & Alan M. Taylor, 2022. "Longer-Run Economic Consequences of Pandemics," The Review of Economics and Statistics, MIT Press, vol. 104(1), pages 166-175, March.
    14. Sangjoon Kim & Neil Shephard & Siddhartha Chib, 1998. "Stochastic Volatility: Likelihood Inference and Comparison with ARCH Models," Review of Economic Studies, Oxford University Press, vol. 65(3), pages 361-393.
    15. James C. Morley & Charles R. Nelson & Eric Zivot, 2003. "Why Are the Beveridge-Nelson and Unobserved-Components Decompositions of GDP So Different?," The Review of Economics and Statistics, MIT Press, vol. 85(2), pages 235-243, May.
    16. Gauti B. Eggertsson & Neil R. Mehrotra, 2014. "A Model of Secular Stagnation," NBER Working Papers 20574, National Bureau of Economic Research, Inc.
    17. Jotikasthira, Chotibhak & Le, Anh & Lundblad, Christian, 2015. "Why do term structures in different currencies co-move?," Journal of Financial Economics, Elsevier, vol. 115(1), pages 58-83.
    18. Baxter, Marianne & Kouparitsas, Michael A., 2005. "Determinants of business cycle comovement: a robust analysis," Journal of Monetary Economics, Elsevier, vol. 52(1), pages 113-157, January.
    19. 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.
    20. John B. Taylor & Volker Wieland, 2016. "Finding the Equilibrium Real Interest Rate in a Fog of Policy Deviations," Business Economics, Palgrave Macmillan;National Association for Business Economics, vol. 51(3), pages 147-154, July.
    21. Cesa-Bianchi, Ambrogio & Imbs, Jean & Saleheen, Jumana, 2019. "Finance and synchronization," Journal of International Economics, Elsevier, vol. 116(C), pages 74-87.
    22. Giuseppe Ferrero & Marco Gross & Stefano Neri, 2019. "On secular stagnation and low interest rates: Demography matters," International Finance, Wiley Blackwell, vol. 22(3), pages 262-278, December.
    23. Beyer, Robert C.M. & Wieland, Volker, 2019. "Instability, imprecision and inconsistent use of equilibrium real interest rate estimates," Journal of International Money and Finance, Elsevier, vol. 94(C), pages 1-14.
    24. Kalemli-Ozcan, Sebnem & Papaioannou, Elias & Peydró, José-Luis, 2013. "Financial regulation, financial globalization, and the synchronization of economic activity," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 68(3), pages 1179-1228.
    25. Thomas Laubach & John C. Williams, 2015. "Measuring the natural rate of interest redux," Working Paper Series 2015-16, Federal Reserve Bank of San Francisco.
    26. Corsetti, Giancarlo & Pericoli, Marcello & Sbracia, Massimo, 2005. "'Some contagion, some interdependence': More pitfalls in tests of financial contagion," Journal of International Money and Finance, Elsevier, vol. 24(8), pages 1177-1199, December.
    27. Ansgar Belke & Jens Klose, 2017. "Equilibrium Real Interest Rates and Secular Stagnation: An Empirical Analysis for Euro Area Member Countries," Journal of Common Market Studies, Wiley Blackwell, vol. 55(6), pages 1221-1238, November.
    28. Marco Del Negro & Domenico Giannone & Marc P. Giannoni & Andrea Tambalotti, 2017. "Safety, Liquidity, and the Natural Rate of Interest," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 48(1 (Spring), pages 235-316.
    29. Enrico Sergio Levrero, 2021. "Estimates of the Natural Rate of Interest and the Stance of Monetary Policies: A Critical Assessment," International Journal of Political Economy, Taylor & Francis Journals, vol. 50(1), pages 5-27, February.
    30. Sébastien Fries & Jean‐Stéphane Mésonnier & Sarah Mouabbi & Jean‐Paul Renne, 2018. "National natural rates of interest and the single monetary policy in the euro area," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 33(6), pages 763-779, September.
    31. Danielsson, Jon, 1994. "Stochastic volatility in asset prices estimation with simulated maximum likelihood," Journal of Econometrics, Elsevier, vol. 64(1-2), pages 375-400.
    32. Blonigen, Bruce A. & Piger, Jeremy & Sly, Nicholas, 2014. "Comovement in GDP trends and cycles among trading partners," Journal of International Economics, Elsevier, vol. 94(2), pages 239-247.
    33. Hsieh, David A, 1991. "Chaos and Nonlinear Dynamics: Application to Financial Markets," Journal of Finance, American Finance Association, vol. 46(5), pages 1839-1877, December.
    34. Kara, Engin & von Thadden, Leopold, 2016. "Interest Rate Effects Of Demographic Changes In A New Keynesian Life-Cycle Framework," Macroeconomic Dynamics, Cambridge University Press, vol. 20(1), pages 120-164, January.
    35. Lukasz Rachel & Thomas Smith, 2015. "Secular Drivers of the Global Real Interest Rate," Discussion Papers 1605, Centre for Macroeconomics (CFM).
    36. Carvalho, Carlos & Ferrero, Andrea & Nechio, Fernanda, 2016. "Demographics and real interest rates: Inspecting the mechanism," European Economic Review, Elsevier, vol. 88(C), pages 208-226.
    37. Burstein, Ariel & Kurz, Christopher & Tesar, Linda, 2008. "Trade, production sharing, and the international transmission of business cycles," Journal of Monetary Economics, Elsevier, vol. 55(4), pages 775-795, May.
    38. James D. Hamilton & Ethan S. Harris & Jan Hatzius & Kenneth D. West, 2016. "The Equilibrium Real Funds Rate: Past, Present, and Future," IMF Economic Review, Palgrave Macmillan;International Monetary Fund, vol. 64(4), pages 660-707, November.
    39. Holston, Kathryn & Laubach, Thomas & Williams, John C., 2017. "Measuring the natural rate of interest: International trends and determinants," Journal of International Economics, Elsevier, vol. 108(S1), pages 59-75.
    40. Potjagailo, Galina & Wolters, Maik H., 2023. "Global financial cycles since 1880," Journal of International Money and Finance, Elsevier, vol. 131(C).
    41. Andrew Blake & Haroon Mumtaz, 2015. "Applied Bayesian Econometrics for central bankers," Handbooks, Centre for Central Banking Studies, Bank of England, number 36, April.
    42. FUJITA Shigeru & FUJIWARA Ippei, 2015. "Declining Trends in the Real Interest Rate and Inflation: Role of aging," Discussion papers 15140, Research Institute of Economy, Trade and Industry (RIETI).
    43. Domenico Giannone & Michele Lenza & Lucrezia Reichlin, 2010. "Business Cycles in the Euro Area," NBER Chapters, in: Europe and the Euro, pages 141-167, National Bureau of Economic Research, Inc.
    44. Clark, Todd E. & Kozicki, Sharon, 2005. "Estimating equilibrium real interest rates in real time," The North American Journal of Economics and Finance, Elsevier, vol. 16(3), pages 395-413, December.
    45. Julien Garnier & Bjørn-Roger Wilhelmsen, 2009. "The natural rate of interest and the output gap in the euro area: a joint estimation," Empirical Economics, Springer, vol. 36(2), pages 297-319, May.
    46. Yunus Aksoy & Henrique S. Basso & Ron P. Smith & Tobias Grasl, 2019. "Demographic Structure and Macroeconomic Trends," American Economic Journal: Macroeconomics, American Economic Association, vol. 11(1), pages 193-222, January.
    47. Julian di Giovanni & Andrei A. Levchenko, 2010. "Putting the Parts Together: Trade, Vertical Linkages, and Business Cycle Comovement," American Economic Journal: Macroeconomics, American Economic Association, vol. 2(2), pages 95-124, April.
    48. Michael T. Kiley, 2020. "What Can the Data Tell Us about the Equilibrium Real Interest Rate?," International Journal of Central Banking, International Journal of Central Banking, vol. 16(3), pages 181-209, June.
    49. Donald P. Morgan & Bertrand Rime & Philip E. Strahan, 2004. "Bank Integration and State Business Cycles," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(4), pages 1555-1584.
    50. Donald Morgan & Bertrand Rime & Philip Strahan, 2003. "Bank Integration and State Business Cycles," NBER Working Papers 9704, National Bureau of Economic Research, Inc.
    51. Jonathan H. Wright, 2011. "Term Premia and Inflation Uncertainty: Empirical Evidence from an International Panel Dataset," American Economic Review, American Economic Association, vol. 101(4), pages 1514-1534, June.
    52. 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.
    53. Rhys R. Mendes, 2014. "The Neutral Rate of Interest in Canada," Discussion Papers 14-5, Bank of Canada.
    54. Clark, Todd E. & van Wincoop, Eric, 2001. "Borders and business cycles," Journal of International Economics, Elsevier, vol. 55(1), pages 59-85, October.
    55. Jacquier, Eric & Polson, Nicholas G. & Rossi, P.E.Peter E., 2004. "Bayesian analysis of stochastic volatility models with fat-tails and correlated errors," Journal of Econometrics, Elsevier, vol. 122(1), pages 185-212, September.
    56. Pierre-Olivier Gourinchas & Hélène Rey, 2019. "Global real rates: a secular approach," BIS Working Papers 793, Bank for International Settlements.
    57. Probst, Julius, 2019. "Global real interest rate dynamics from the late 19th century to today," International Review of Economics & Finance, Elsevier, vol. 59(C), pages 522-547.
    58. Brand, Claus & Bielecki, Marcin & Penalver, Adrian, 2018. "The natural rate of interest: estimates, drivers, and challenges to monetary policy JEL Classification: E52, E43," Occasional Paper Series 217, European Central Bank.
    59. Lawrence H Summers, 2014. "U.S. Economic Prospects: Secular Stagnation, Hysteresis, and the Zero Lower Bound," Business Economics, Palgrave Macmillan;National Association for Business Economics, vol. 49(2), pages 65-73, April.
    60. Meller, Barbara & Metiu, Norbert, 2017. "The synchronization of credit cycles," Journal of Banking & Finance, Elsevier, vol. 82(C), pages 98-111.
    61. Dahlquist, Magnus & Hasseltoft, Henrik, 2013. "International Bond Risk Premia," Journal of International Economics, Elsevier, vol. 90(1), pages 17-32.
    62. Carlo A. Favero & Arie E. Gozluklu & Haoxi Yang, 2016. "Demographics and the Behavior of Interest Rates," IMF Economic Review, Palgrave Macmillan;International Monetary Fund, vol. 64(4), pages 732-776, November.
    63. Neely, Christopher J. & Rapach, David E., 2011. "International comovements in inflation rates and country characteristics," Journal of International Money and Finance, Elsevier, vol. 30(7), pages 1471-1490.
    64. Tibor Hledik & Jan Vlcek, 2018. "Quantifying the Natural Rate of Interest in a Small Open Economy - The Czech Case," Working Papers 2018/7, Czech National Bank.
    65. Chan, Joshua C.C. & Grant, Angelia L., 2016. "Modeling energy price dynamics: GARCH versus stochastic volatility," Energy Economics, Elsevier, vol. 54(C), pages 182-189.
    66. Krustev, Georgi, 2019. "The natural rate of interest and the financial cycle," Journal of Economic Behavior & Organization, Elsevier, vol. 162(C), pages 193-210.
    67. repec:zbw:bofrdp:2016_024 is not listed on IDEAS
    68. Thomas Laubach & John C. Williams, 2003. "Measuring the Natural Rate of Interest," The Review of Economics and Statistics, MIT Press, vol. 85(4), pages 1063-1070, November.
    69. J. Bradford DeLong & Lawrence H. Summers, 2012. "Fiscal Policy in a Depressed Economy," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 43(1 (Spring), pages 233-297.
    70. Kulish, Mariano & Rees, Daniel, 2011. "The yield curve in a small open economy," Journal of International Economics, Elsevier, vol. 85(2), pages 268-279.
    71. Mervyn King & David Low, 2014. "Measuring the ''World'' Real Interest Rate," NBER Working Papers 19887, National Bureau of Economic Research, Inc.
    72. Alan S. Blinder, 1999. "Central Banking in Theory and Practice," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262522608, December.
    73. Jens H. E. Christensen & Glenn D. Rudebusch, 2017. "New Evidence for a Lower New Normal in Interest Rates," FRBSF Economic Letter, Federal Reserve Bank of San Francisco.
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    1. Ruch,Franz Ulrich, 2021. "Neutral Real Interest Rates in Inflation Targeting Emerging and Developing Economies," Policy Research Working Paper Series 9711, The World Bank.
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    3. Ferrero, Andrea & Ambrocio, Gene & Jokivuolle, Esa & Ristolainen, Kim, 2022. "What Should the Inflation Target Be? Views from 600 Economists," CEPR Discussion Papers 17289, C.E.P.R. Discussion Papers.
    4. Ambrocio, Gene & Ferrero, Andrea & Jokivuolle, Esa & Ristolainen, Kim, 2022. "What Should the Inflation Target Be? Views from 600 Economists," CEPR Discussion Papers 17289, C.E.P.R. Discussion Papers.

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    More about this item

    Keywords

    equilibrium interest rate; stochastic volatility; Bayesian inference; synchronization;
    All these keywords.

    JEL classification:

    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • 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

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