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A FUNCTIONAL COEFFICIENT APPROACH TO MODELING THE FISHER HYPOTHESIS: WORLDWIDE EVIDENCE

Published online by Cambridge University Press:  26 February 2010

Helmut Herwartz*
Affiliation:
Christian-Albrechts-University of Kiel
Hans-Eggert Reimers
Affiliation:
Hochschule Wismar
*
Address correspondence to: Helmut Herwartz, Institute of Statistics and Econometrics, Christian-Albrechts-University of Kiel, Olshausenstr. 40-60, D - 23100 Kiel, Germany; e-mail: [email protected].

Abstract

We pursue a semiparametric approach to examining core implications of the Fisher hypothesis, namely cointegration linking nominal interest rates and inflation, and homogeneity of the potential equilibrium relation. The sample is an unbalanced panel and comprises monthly time series from more than 100 economies. The time period of at most 45 years is subdivided into three regimes according to dominating monetary policies. To exploit the cross-sectional dimension for inference on parameter homogeneity, we apply mean group estimation of functional coefficients that allow the conditioning of key model parameters on economic states. The evidence in favor of cointegration is weakened over states of negative real interest rates that are likely to coincide with scenarios of high inflation. The ex post real interest rate is mostly diagnosed as unstable. The Fisher hypothesis is particularly confirmed for states characterized by large positive interest rate adjustments during the inflation-targeting regime.

Type
Articles
Copyright
Copyright © Cambridge University Press 2010

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References

REFERENCES

Amato, Jeffrey D. (2005) The role of the natural rate of interest in monetary policy. CESifo Economic Studies 51, 729755.CrossRefGoogle Scholar
Balke, Nathan S. and Fomby, Thomas B. (1997) Threshold cointegration. International Economic Review 38, 627645.CrossRefGoogle Scholar
Banerjee, Anindya (1999) Panel data unit roots and cointegration: An overview. Oxford Bulletin of Economics and Statistics 61, 607629.CrossRefGoogle Scholar
Banerjee, Anindya, Dolado, Juan J., Galbraith, John W., and Hendry, David F. (1993) Co-integration, Error-Correction, and the Econometric Analysis of Non-stationary Data. Oxford, UK: Oxford University Press.CrossRefGoogle Scholar
Berument, Hakan, Ceylan, Nilday B., and Olgun, Hasan (2007) Inflation uncertainty and interest rates: Is the Fisher relation universal? Applied Economics 39, 5368.CrossRefGoogle Scholar
Borio, Claudio and Filardo, Andrew (2007) Globalization and Inflation: New Cross-Country Evidence on the Global Determinations of Domestic Inflation. {BIS Discussion paper} 227, Basle.CrossRefGoogle Scholar
Cai, Zongwu, Fan, Jianqing, and Yao, Qiwei (2000) Functional-coefficient regression models for nonlinear time series. Journal of the American Statistical Association 95, 941956.CrossRefGoogle Scholar
Chang, Yoosoon, Park, Joon Y., and Phillips, Peter C.B. (2001) Nonlinear econometric models with cointegrated and deterministically trending regressors. Econometrics Journal 4, 136.CrossRefGoogle Scholar
Ciccarelli, Matteo and Mojon, Benoit (2005) Global Inflation. {Working Paper Series} 537, European Central Bank.Google Scholar
Crowder, William J. (2003) Panel Estimates of the Fisher Effect. Manuscript, University of Texas at Arlington.Google Scholar
Crowder, William J. and Hoffman, Dennis L. (1996) The long-run relationship between nominal interest rates and inflation: The Fisher equation revisited. Journal of Money, Credit, and Banking 28, 102118.CrossRefGoogle Scholar
D'Amico, Stefania, Kim, Don H., and Wei, Min (2008) Tips from TIPS: The Informational Content of Treasury Inflation-Protected Security Prices. {BIS Working Papers} 248, Basle.CrossRefGoogle Scholar
Desroches, Brigitte and Francis, Michael (2007) Global savings, investment, and world real interest rates. Bank of Canada Review Winter, 3–17.Google Scholar
Driffill, John and Snell, Andrew (2003) What moves OECD real interest rates? Journal of Money, Credit, and Banking 35, 375402.CrossRefGoogle Scholar
Escribano, Alvaro (2004) Nonlinear error correction: The case of money demand in the UK (1878–2000). Macroeconomic Dynamics 8, 76116.Google Scholar
European Central Bank (ECB) (2004) The natural real interest rate in the euro area. Monthly Bulletin, May, 57–69.Google Scholar
Evans, Martin D.D. and Lewis, Karen K. (1995) Do expected shifts in inflation affect estimates of the long-run Fisher relation? Journal of Finance 50, 225253.Google Scholar
Fama, Eugene F. (1975) Short term interest rates as predictors of inflation. American Economic Review 65, 269282.Google Scholar
Fama, Eugene F. and Schwert, G. William (1977) Asset returns and inflation. Journal of Financial Economics 5, 115146.CrossRefGoogle Scholar
Fisher, Irving (1930) The Theory of Interest. New York: Macmillan.Google Scholar
Granger, Clive W.J. (2001) Overview of nonlinear macroeconometric empirical model. Macroeconomic Dynamics 5, 466481.CrossRefGoogle Scholar
Herwartz, Helmut and Reimers, Hans-Eggert (2006) Panel nonstationarity tests of the Fisher hypothesis: An analysis of 114 economies during the period 1960–2004. Applied Econometrics and International Development 6-3, 3957.Google Scholar
International Monetary Fund [IMF] (2006) World Economic Outlook. April, Washington, DC.Google Scholar
Jennen-Steinmetz, Christine and Gasser, Theo (1988) A unifying approach to nonparametric regression estimation. Journal of the American Statistical Association 83, 10841089.CrossRefGoogle Scholar
Karlsen, Hans Arnfinn, Myklebust, Terje, and Tjøstheim, Dag (2007) Nonparametric estimation in a nonlinear cointegration type model. Annals of Statistics 35, 252299.CrossRefGoogle Scholar
Koustas, Zisimos and Serletis, Apostolos (1999) On the Fisher effect. Journal of Monetary Economics 44, 105130.CrossRefGoogle Scholar
Laubach, Thomas and Williams, John C. (2003) Measuring the natural rate of interest. Review of Economics and Statistics 85, 10631070.CrossRefGoogle Scholar
Mishkin, Frederic S. (1992) Is the Fisher effect for real? A reexamination of the relationship between inflation and interest rates. Journal of Monetary Economics 30, 195215.CrossRefGoogle Scholar
Mishkin, Frederic S. (2003) The Economics of Money, Banking, and Financial Markets, 6th ed.Boston: Addison Wesley.Google Scholar
Nadaraya, E.A. (1964) On estimating regression. Theory of Probability and Its Applications 9, 141142.CrossRefGoogle Scholar
Park, Joon Y. (2005) The Spatial Analysis of Time Series. Discussion paper 2005–07, Department of Economics, Rice University.Google Scholar
Park, Joon Y. and Phillips, Peter C.B. (2001) Nonlinear regressions with integrated time series. Econometrica 69, 14521498.CrossRefGoogle Scholar
Phillips, Peter C.B. and Moon, Hyungsik R. (1999) Linear regression limit theory for nonstationary panel data. Econometrica 67, 10571111.CrossRefGoogle Scholar
Ragan, Christopher (1994) A framework for explaining the real effects of inflation volatility. In Economic Behavior and Policy Choice under Price Stability, Proceedings of a Conference at the Bank of Canada, pp. 419468. Ottawa: Bank of Canada.Google Scholar
Rapach, David E. and Weber, Christian E. (2004) Are real interest rates really nonstationary? New evidence from tests with good size and power. Journal of Macroeconomics 26, 409430.CrossRefGoogle Scholar
Rogoff, Kenneth (2003) Globalization and global disinflation. In Monetary Policy and Uncertainty: Adapting to a Changing Economy, pp. 77112. Jackson Hole, WY: Federal Reserve Bank of Kansas City.Google Scholar
Romer, Christina D. (2005) Commentary to origins of the great inflation. Federal Reserve Bank of St. Louis Review March/April, Part 2, 177–187.Google Scholar
Rose, Andrew K. (1988) Is the real interest rate stable? Journal of Finance 43, 10951112.CrossRefGoogle Scholar
Saikkonen, Pentti (1991) Asymptotically efficient estimation of cointegration regressions. Econometric Theory 7, 121.CrossRefGoogle Scholar
Silverman, Bernard W. (1986) Density Estimation for Statistics and Data Analysis. London: Chapman and Hall.Google Scholar
Söderlind, Paul (2008) Inflation Risk Premia and Survey Evidence on Macroeconomic Uncertainty. {Discussion paper 2008-12}, Department of Economics, University of St. Gallen.Google Scholar
Stock, James H. and Watson, Mark W. (1993) A simple estimator of cointegrating vectors in higher-order integrated systems. Econometrica 61, 783820.CrossRefGoogle Scholar
Taylor, John B. (1993) Discretion versus policy rules in practice. Carnegie–Rochester Conference Series on Public Policy 39, 195214.CrossRefGoogle Scholar
Taylor, John B. (2005) The international implications of October 1979: Toward a long boom on a global scale. Federal Reserve Bank of St. Louis Review March/April, Part 2, 269–276.Google Scholar
Tobin, James (1965) Money and economic growth. Econometrica 33, 671684.CrossRefGoogle Scholar
Watson, Geoffrey S. (1964) Smooth regression analysis. Sankhya, Series A 26, 359372.Google Scholar
Westerlund, Joakim (2005) Panel cointegration tests of the Fisher hypothesis. Journal of Applied Econometrics 23, 193233.CrossRefGoogle Scholar
Woodford, Michael (2003) Interest and Prices. Princeton, NJ: Princeton University Press.Google Scholar