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The behaviour of real interest rates: New evidence from a 'suprasecular' perspective

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  • Giorgio Canarella
  • Luis A. Gil‐Alana
  • Rangan Gupta
  • Stephen M. Miller

Abstract

We examine the temporal dynamics of the historical series of real interest rates for France, Germany, Italy, Japan, the Netherlands, Spain pre‐1730 and post‐1800, the United Kingdom, and the United States stretching back to the 14th century. We use the Robinson approach to determine the fractional order of integration and examine both linear deterministic trends and multiple smooth breaks. In the latter case we make use of the Chebyshev polynomials in time. With the exception of two countries (Italy and France), where the linear model appears more appropriate, our results reveal evidence that real interest rates are driven by the interaction between nonlinearities in the deterministic trends and fractional integration processes. They suggest that real interest rates are mean‐reverting but not as persistent as suggested in the literature. In particular, the nonlinear model with autocorrelated errors provides no evidence of long memory, which questions most of the literature on real interest rates. The implications of these results are relevant to evaluate the effectiveness of policy interventions and the theoretical implications of different macroeconomic models as shocks affecting real interest rates will dissipate by themselves.

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  • Giorgio Canarella & Luis A. Gil‐Alana & Rangan Gupta & Stephen M. Miller, 2022. "The behaviour of real interest rates: New evidence from a 'suprasecular' perspective," International Finance, Wiley Blackwell, vol. 25(1), pages 46-64, April.
  • Handle: RePEc:bla:intfin:v:25:y:2022:i:1:p:46-64
    DOI: 10.1111/infi.12402
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    as
    1. Goodwin, Barry K. & Grennes, Thomas J., 1994. "Real interest rate equalization and the integration of international financial markets," Journal of International Money and Finance, Elsevier, vol. 13(1), pages 107-124, February.
    2. Valerie Mignon & Sandrine Lardic, 2003. "Fractional cointegration between nominal interest rates and inflation: A re-examination of the Fisher relationship in the G7 countries," Economics Bulletin, AccessEcon, vol. 3(14), pages 1-10.
    3. Jushan Bai & Pierre Perron, 1998. "Estimating and Testing Linear Models with Multiple Structural Changes," Econometrica, Econometric Society, vol. 66(1), pages 47-78, January.
    4. John Y. Campbell & Pierre Perron, 1991. "Pitfalls and Opportunities: What Macroeconomists Should Know about Unit Roots," NBER Chapters, in: NBER Macroeconomics Annual 1991, Volume 6, pages 141-220, National Bureau of Economic Research, Inc.
    5. Shiller, Robert J. & Perron, Pierre, 1985. "Testing the random walk hypothesis : Power versus frequency of observation," Economics Letters, Elsevier, vol. 18(4), pages 381-386.
    6. Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November.
    7. Perron, Pierre & Vogelsang, Timothy J., "undated". "Level Shifts and Purchasing Power Parity," Instructional Stata datasets for econometrics levshift, Boston College Department of Economics.
    8. Wallace, Myles S & Warner, John T, 1993. "The Fisher Effect and the Term Structure of Interest Rates: Tests of Cointegration," The Review of Economics and Statistics, MIT Press, vol. 75(2), pages 320-324, May.
    9. Campbell, John Y & Shiller, Robert J, 1987. "Cointegration and Tests of Present Value Models," Journal of Political Economy, University of Chicago Press, vol. 95(5), pages 1062-1088, October.
    10. Koustas, Zisimos & Serletis, Apostolos, 1999. "On the Fisher effect," Journal of Monetary Economics, Elsevier, vol. 44(1), pages 105-130, August.
    11. Clemente, Jesus & Montanes, Antonio & Reyes, Marcelo, 1998. "Testing for a unit root in variables with a double change in the mean," Economics Letters, Elsevier, vol. 59(2), pages 175-182, May.
    12. Perron, Pierre, 1991. "Test Consistency with Varying Sampling Frequency," Econometric Theory, Cambridge University Press, vol. 7(3), pages 341-368, September.
    13. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    14. Diebold, Francis X. & Rudebusch, Glenn D., 1991. "On the power of Dickey-Fuller tests against fractional alternatives," Economics Letters, Elsevier, vol. 35(2), pages 155-160, February.
    15. Lee, Dongin & Schmidt, Peter, 1996. "On the power of the KPSS test of stationarity against fractionally-integrated alternatives," Journal of Econometrics, Elsevier, vol. 73(1), pages 285-302, July.
    16. Caporale, Guglielmo Maria & Gil-Alana, Luis & Plastun, Alex, 2018. "Is market fear persistent? A long-memory analysis," Finance Research Letters, Elsevier, vol. 27(C), pages 140-147.
    17. Saadet Kasman & Adnan Kasman & Evrim Turgutlu, 2006. "Fisher Hypothesis Revisited: A Fractional Cointegration Analysis," Emerging Markets Finance and Trade, Taylor & Francis Journals, vol. 42(6), pages 59-76, December.
    18. Bierens, Herman J., 1997. "Testing the unit root with drift hypothesis against nonlinear trend stationarity, with an application to the US price level and interest rate," Journal of Econometrics, Elsevier, vol. 81(1), pages 29-64, November.
    19. Omay, Tolga, 2015. "Fractional Frequency Flexible Fourier Form to approximate smooth breaks in unit root testing," Economics Letters, Elsevier, vol. 134(C), pages 123-126.
    20. Granger, Clive W. J. & Hyung, Namwon, 2004. "Occasional structural breaks and long memory with an application to the S&P 500 absolute stock returns," Journal of Empirical Finance, Elsevier, vol. 11(3), pages 399-421, June.
    21. King, Robert G. & Plosser, Charles I. & Stock, James H. & Watson, Mark W., 1991. "Stochastic Trends and Economic Fluctuations," American Economic Review, American Economic Association, vol. 81(4), pages 819-840, September.
    22. Gil-Alana, L. A. & Robinson, P. M., 1997. "Testing of unit root and other nonstationary hypotheses in macroeconomic time series," Journal of Econometrics, Elsevier, vol. 80(2), pages 241-268, October.
    23. Onsurang Norrbin & Aaron D. Smallwood, 2011. "Mean Reversion in the Real Interest Rate and the Effects of Calculating Expected Inflation," Southern Economic Journal, John Wiley & Sons, vol. 78(1), pages 107-130, July.
    24. Gallant, A. Ronald, 1981. "On the bias in flexible functional forms and an essentially unbiased form : The fourier flexible form," Journal of Econometrics, Elsevier, vol. 15(2), pages 211-245, February.
    25. Frederic S. Mishkin & John Simon, 1995. "An Empirical Examination of the Fisher Effect in Australia," The Economic Record, The Economic Society of Australia, vol. 71(3), pages 217-229, September.
    26. Baillie, Richard T., 1996. "Long memory processes and fractional integration in econometrics," Journal of Econometrics, Elsevier, vol. 73(1), pages 5-59, July.
    27. Guido Alfani, 2013. "Plague in seventeenth-century Europe and the decline of Italy: an epidemiological hypothesis," European Review of Economic History, Oxford University Press, vol. 17(4), pages 408-430, November.
    28. Zivot, Eric & Andrews, Donald W K, 2002. "Further Evidence on the Great Crash, the Oil-Price Shock, and the Unit-Root Hypothesis," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 25-44, January.
    29. Aaron Smallwood & Stefan C. Norrbin, 2008. "An Encompassing Test of Real Interest Rate Equalization," Review of International Economics, Wiley Blackwell, vol. 16(1), pages 114-126, February.
    30. Crowder, William J & Hoffman, Dennis L, 1996. "The Long-Run Relationship between Nominal Interest Rates and Inflation: The Fisher Equation Revisited," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 28(1), pages 102-118, February.
    31. Tolga Omay & Rangan Gupta & Giovanni Bonaccolto, 2017. "The US real GNP is trend-stationary after all," Applied Economics Letters, Taylor & Francis Journals, vol. 24(8), pages 510-514, May.
    32. Adnen Ben Nasr & Ahdi N. Ajmi & Rangan Gupta, 2013. "Modeling the Volatility of the Dow Jones Islamic Market World Index Using a Fractionally Integrated Time Varying GARCH (FITVGARCH) Model," Working Papers 201357, University of Pretoria, Department of Economics.
    33. David McMillan & Mark Wohar, 2010. "An analysis of the time series properties of the UK ex-post real interest rate: fractional integration, breaks or nonlinear," Applied Financial Economics, Taylor & Francis Journals, vol. 20(22), pages 1697-1707.
    34. Diebold, Francis X. & Inoue, Atsushi, 2001. "Long memory and regime switching," Journal of Econometrics, Elsevier, vol. 105(1), pages 131-159, November.
    35. Hsing Fang & Kon S. Lai & Michael Lai, 1994. "Fractal structure in currency futures price dynamics," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 14(2), pages 169-181, April.
    36. Karanasos, M. & Sekioua, S.H. & Zeng, N., 2006. "On the order of integration of monthly US ex-ante and ex-post real interest rates: New evidence from over a century of data," Economics Letters, Elsevier, vol. 90(2), pages 163-169, February.
    37. Brigitte Granville & Sushanta Mallick, 2004. "Fisher hypothesis: UK evidence over a century," Applied Economics Letters, Taylor & Francis Journals, vol. 11(2), pages 87-90.
    38. Ralf Becker & Walter Enders & Junsoo Lee, 2006. "A Stationarity Test in the Presence of an Unknown Number of Smooth Breaks," Journal of Time Series Analysis, Wiley Blackwell, vol. 27(3), pages 381-409, May.
    39. Christopher J. Neely & David E. Rapach, 2008. "Real interest rate persistence: evidence and implications," Review, Federal Reserve Bank of St. Louis, vol. 90(Nov), pages 609-642.
    40. Matthew D. Shapiro & Mark W. Watson, 1988. "Sources of Business Cycle Fluctuations," NBER Chapters, in: NBER Macroeconomics Annual 1988, Volume 3, pages 111-156, National Bureau of Economic Research, Inc.
    41. Tolga Omay & Aysegul Corakci & Esra Hasdemir, 2021. "High Persistence and Nonlinear Behavior in Financial Variables: A More Powerful Unit Root Testing in the ESTAR Framework," Mathematics, MDPI, vol. 9(20), pages 1-21, October.
    42. Schmelzing, Paul, 2020. "Eight centuries of global real interest rates, R-G, and the ‘suprasecular’ decline, 1311–2018," Bank of England working papers 845, Bank of England.
    43. Stephen Leybourne & Paul Newbold & Dimitrios Vougas, 1998. "Unit roots and smooth transitions," Journal of Time Series Analysis, Wiley Blackwell, vol. 19(1), pages 83-97, January.
    44. Tsay, Wen-Jen, 2000. "Long memory story of the real interest rate," Economics Letters, Elsevier, vol. 67(3), pages 325-330, June.
    45. Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996. "Efficient Tests for an Autoregressive Unit Root," Econometrica, Econometric Society, vol. 64(4), pages 813-836, July.
    46. Mishkin, Frederic S., 1992. "Is the Fisher effect for real? : A reexamination of the relationship between inflation and interest rates," Journal of Monetary Economics, Elsevier, vol. 30(2), pages 195-215, November.
    47. Jushan Bai & Pierre Perron, 2003. "Computation and analysis of multiple structural change models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(1), pages 1-22.
    48. V Dimitrova & M Fernández-Martínez & M A Sánchez-Granero & J E Trinidad Segovia, 2019. "Some comments on Bitcoin market (in)efficiency," PLOS ONE, Public Library of Science, vol. 14(7), pages 1-14, July.
    49. Walter Enders & Junsoo Lee, 2012. "A Unit Root Test Using a Fourier Series to Approximate Smooth Breaks," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 74(4), pages 574-599, August.
    50. Perron, Pierre & Vogelsang, Timothy J, 1992. "Nonstationarity and Level Shifts with an Application to Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 301-320, July.
    51. North, Douglass C. & Weingast, Barry R., 1989. "Constitutions and Commitment: The Evolution of Institutions Governing Public Choice in Seventeenth-Century England," The Journal of Economic History, Cambridge University Press, vol. 49(4), pages 803-832, December.
    52. Onsurang Norrbin & Aaron D. Smallwood, 2011. "Mean Reversion in the Real Interest Rate and the Effects of Calculating Expected Inflation," Southern Economic Journal, John Wiley & Sons, vol. 78(1), pages 107-130, July.
    53. Junsoo Lee & Mark C. Strazicich, 2003. "Minimum Lagrange Multiplier Unit Root Test with Two Structural Breaks," The Review of Economics and Statistics, MIT Press, vol. 85(4), pages 1082-1089, November.
    54. Taylor, John B., 1993. "Discretion versus policy rules in practice," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 39(1), pages 195-214, December.
    55. Rapach, David E & Wohar, Mark E, 2005. "Regime Changes in International Real Interest Rates: Are They a Monetary Phenomenon?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 37(5), pages 887-906, October.
    56. Rapach, David E. & Weber, Christian E., 2004. "Are real interest rates really nonstationary? New evidence from tests with good size and power," Journal of Macroeconomics, Elsevier, vol. 26(3), pages 409-430, September.
    57. Hassler, Uwe & Wolters, Jurgen, 1994. "On the power of unit root tests against fractional alternatives," Economics Letters, Elsevier, vol. 45(1), pages 1-5, May.
    58. Carlo M. Cipolla, 1952. "The Case Of A Fully Matured Economy," Economic History Review, Economic History Society, vol. 5(2), pages 178-187, December.
    59. Lai, Kon S., 2008. "The puzzling unit root in the real interest rate and its inconsistency with intertemporal consumption behavior," Journal of International Money and Finance, Elsevier, vol. 27(1), pages 140-155, February.
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