Gadea, Maria and Mayoral, Laura (2005): The Persistence of Inflation in OECD Countries: A Fractionally Integrated Approach. Published in: International Journal of Central Banking , Vol. Volume, No. Number 1 (8 March 2006): pp. 51-104.
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Abstract
The statistical properties of inflation and, in particular, its degree of persistence and stability over time is a subject of intense debate, and no consensus has been achieved yet. The goal of this paper is to analyze this controversy using a general approach, with the aim of providing a plausible explanation for the existing contradictory results. We consider the inflation rates of twenty-one OECD countries which are modeled as fractionally integrated (FI) processes. First, we show analytically that FI can appear in inflation rates after aggregating individual prices from firms that face different costs of adjusting their prices. Then, we provide robust empirical evidence supporting the FI hypothesis using both classical and Bayesian techniques. Next, we estimate impulse response functions and other scalar measures of persistence, achieving an accurate picture of this property and its variation across countries. It is shown that the application of some popular tools for measuring persistence, such as the sum of the AR coefficients, could lead to erroneous conclusions if fractional integration is present. Finally, we explore the existence of changes in inflation inertia using a novel approach. We conclude that the persistence of inflation is very high (although nonpermanent) in most postindustrial countries and that it has remained basically unchanged over the last four decades.
Item Type: | MPRA Paper |
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Original Title: | The Persistence of Inflation in OECD Countries: A Fractionally Integrated Approach |
Language: | English |
Subjects: | G - Financial Economics > G0 - General > G00 - General G - Financial Economics > G0 - General |
Item ID: | 815 |
Depositing User: | Terry Woodard |
Date Deposited: | 14 Nov 2006 |
Last Modified: | 01 Oct 2019 03:04 |
References: | Abadir, Karim, and Gabriel Talmain. 2002. “Aggregation, Persistence and Volatility in a Macro Model.” Review of Economic Studies 69 (4): 749–79. Agiakloglou, Christos, Paul Newbold, and Mark Wohar. 1992. “Bias in an Estimator of the Fractional Difference Parameter.” Journal of Time Series Analysis 14 (3): 235–46. Alogoskoufis, George. 1992. “Monetary Accommodation, Exchange Rate Regimes and Inflation Persistence.” The Economic Journal 102 (410): 461–80. Alogoskoufis, George, and Ronald Smith. 1991. “The Phillips Curve, the Persistence of Inflation, and the Lucas Critique: Evidence from Exchange-Rate Regimes.” American Economic Review 81 (5): 1254–75. Andersen, Torben G., and Tim Bollerslev. 1997. “Heterogeneous Information Arrivals and Return Volatility Dynamics: Uncovering the Long-Run in High Frequency Returns.” Journal of Finance 52 (3): 975–1005. Andersen, Torben G., Tim Bollerslev, Francis X. Diebold, and Paul Labys. 1999. “The Distribution of Exchange Rate Volatility.” NBER Working Paper No. 6961. Andrews, Donald W.K. 1991. “Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation.” Econometrica 59 (3): 817–58. ———. 1993. “Exactly Median-Unbiased Estimation of First Order Estimation of Autoregressive Unit Root Models.” Econometrica 61 (1): 139–65. Andrews, Donald W.K., and Hong-Yuan Chen. 1994. “Approximately Median-Unbiased Estimation of Autoregressive Models.” Journal of Business and Economic Statistics 12:187–204. Angeloni, Ignazio, G¨unter Coenen, and Frank Smets. 2003. “Persistence, the Transmission Mechanism and Robust Monetary Policy.” Working Paper No. 250, European Central Bank. Bai, Jushan, and Pierre Perron. 1998. “Estimating and Testing Linear Models with Multiple Structural Changes.” Econometrica 66 (1): 47–78. ———. 2003a. “Computation and Analysis of Multiple Structural Change Models.” Journal of Applied Econometrics 18 (1): 1–22. ———. 2003b. “Critical Values for Multiple Structural Change Tests.” The Econometrics Journal 6 (1): 72–78. Baillie Richard T., Ching-Fan Chung, and Margie A. Tieslau. 1992. “The Long Memory and Variability of Inflation: A Reappraisal of the Friedman Hypothesis.” Discussion Paper, Tilburg University. ———. 1996. “Analyzing Inflation by the Fractionally Integrated ARFIMA-GARCH Model.” Journal of Applied Econometrics 11 (1): 23–40. Barkoulas, John T., Christopher Baum, and Gurkan S. Oguz. 1998. “Stochastic Long Memory in Traded Goods Prices.” Applied Economics Letters 5 (3): 135–38. Barsky, Robert B. 1987. “The Fisher Hypothesis and the Forecastability and Persistence of Inflation.” Journal of Monetary Economics 19 (1): 3–24. Batini, Nicoletta. 2002. “Euro Area Inflation Persistence.” Working Paper No. 201, European Central Bank. Baum, Christopher F., John T. Barkoulas, and Mustafa Caglayan. 1999. “Persistence in International Inflation Rates.” Southern Economic Journal 65 (4): 900–14. Benati, Luca. 2002. “Investigating Inflation Persistence across Monetary Regimes I: Empirical Evidence.” Mimeo, Bank of England. Beran, Jan. 1994. Statistics for Long-Memory Processes. New York: Chapman & Hall. Bhattacharya, R. N., V. K. Gupta, and E. Waymire. 1983. “The Hurst Effect under Trends.” Journal of Applied Probability 20: 649–62. Bordo, Michael D., and Anna J. Schwartz. 1999. “Under What Circumstances, Past and Present, Have International Rescues of Countries in Financial Distress Been Successful?” Journal of International Money and Finance 18 (4): 683–708. Bos, Charles, Philip Hans Franses, and Marius Ooms. 1999. “Long Memory and Level Shifts: Re-analyzing Inflation Rates.” Empirical Economics 24 (3): 427–49. ———. 2002. “Inflation, Forecast Intervals and Long Memory Regression Models.” International Journal of Forecasting 18 (2): 243–64. Breidt, F. Jay, Nuno Crato, and Pedro de Lima. 1998. “The Detection and Estimation of Long Memory in Stochastic Volatility.” Journal of Econometrics 83 (1–2): 325–48. Byers, David, James Davidson, and David Peel. 1997. “Modelling Political Popularity: An Analysis of Long-Range Dependence in Opinion Poll Series.” Journal of the Royal Statistical Society, Series A, 160 (3): 471–90. Calvo, Guillermo A. 1983. “Staggered Prices in a Utility-Maximizing Framework.” Journal of Monetary Economics 12 (3): 383–98. Campbell, John Y., and N. Gregory Mankiw. 1987. “Are Output Fluctuations Transitory?” Quarterly Journal of Economics 102 (4): 857–80. Christiano, Lawrence J., Martin Eichenbaum, and Charles Evans. 2001. “Nominal Rigidities and the Dynamic Effects of a Shock to Monetary Policy.” Working Paper No. 2001-08, Federal Reserve Bank of Chicago. Coenen, G¨unter. 2003. “Inflation Persistence and Robust Monetary Policy Design.” Working Paper No. 290, European Central Bank. Coenen, G¨unter, and Volker Wieland. 2005. “A Small Estimated Euro Area Model with Rational Expectations and Nominal Rigidities.” European Economic Review 49 (5): 1081–1104. Cogley, Timothy, and Thomas J. Sargent. 2001. “Evolving Post- World War II U.S. Inflation Dynamics.” In NBER Macroeconomics Annual, ed. Ben S. Bernanke and Kenneth S. Rogoff. Cambridge, MA: MIT Press. Delgado, M., and Peter Robinson. 1994. “New Methods for the Analysis of Long-Memory Time Series.” Journal of Forecasting 13:97–107. Dickey, David A., and Wayne A. Fuller. 1981. “Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root.” Econometrica 49 (4): 1057–72. Diebold, Francis X., and Glenn D. Rudebusch. 1989. “Long Memory and Persistence in Aggregate Output.” Journal of Monetary Economics 24 (2): 189–209. ———. 1991. “On the Power of the Dickey-Fuller Tests against Fractional Alternatives.” Economic Letters 35 (2): 155–60. Diebold, Francis X., and Abdelhak S. Senhadji. 1996. “The Uncertain Unit Root in Real GNP: Comment.” American Economic Review 86 (5): 1291–98. Ding, Zhuanxin., Clive W.J. Granger, and Robert F. Engle. 1993. “A Long Memory Property of Stock Market Returns and a New Model.” Journal of Empirical Finance 1 (1): 83–106. Dolado Juan J., Jes´us Gonzalo, and Laura Mayoral. 2002. “A Fractional Dickey-Fuller Test for Unit Roots.” Econometrica 70 (5): 1963–2006. ———. 2003. “Testing for a Unit Root against Fractional Alternatives in the Presence of a Maintained Trend.” Mimeo. Doornik, Jurgen A., and Marius Ooms. 2001. “A Package for Estimating, Forecasting and Simulating ARFIMA Models: ARFIMA Package 1.01 for Ox.” Mimeo, University of Rotterdam. Driscoll, John, and Steiner Holden. 2004. “Fairness and Inflation Persistence.” Journal of the European Economic Association 2 (2): 240–51. Franses, Philip Hans, and Marius Ooms. 1997. “A Periodic Long- Memory Model for Quarterly UK Inflation.” International Journal of Forecasting 13 (1): 117–26. Fuhrer, Jeffrey C. 1997. “The (Un)Importance of Forward-Looking Behavior in Price Setting.” Journal of Money, Credit, and Banking 29 (3): 338–50. Fuhrer, Jeffrey, and George Moore. 1995. “Inflation Persistence.” Quarterly Journal of Economics 110 (1): 127–59. Gal´ı, Jordi, and Mark Gertler. 1999. “Inflation Dynamics: A Structural Econometric Analysis.” Journal of Monetary Economics 44 (2): 195–222. Gal´ı, Jordi, Mark Gertler, and J. David L´opez-Salido. 2001. “European Inflation Dynamics.” European Economic Review 45 (7): 1237–70. Geweke, John, and Susan Porter-Hudak. 1983. “The Estimation and Application of Long Memory Time Series Models.” Journal of Time Series Analysis 4:221–38. Giraitis, Liudas, Piotr Kokoszka, and Remigijus Leipus. 2001. “Testing for Long Memory in the Presence of a General Trend.” Journal of Applied Probability 38 (4): 1033–54. Granger, Clive W.J. 1980. “Long Memory Relationships and the Aggregation of Dynamic Models.” Journal of Econometrics 14 (2): 227–38. Granger, Clive W.J, and R. Joyeux. 1980. “An Introduction to Long Memory Series.” Journal of Time Series Analysis 1:15–30. Hall, Robert E. 1999. Comment on “Rethinking the Role of NAIRU in Monetary Policy: Implications of Model Formulation and Uncertainty,” by Arturo Estrella and Frederic S. Mishkin. In Monetary Policy Rules, ed. John B. Taylor. Chicago: University of Chicago Press. Hassler, Uwe, and Jurgen Wolters. 1995. “Long Memory in Inflation Rates: International Evidence.” Journal of Business and Economic Statistics 13 (1): 37–45. Haubrich, Joseph G., and Andrew W. Lo. 2001. “The Sources and Nature of Long-Term Memory in Aggregate Output.” Economic Review (Q II):15–30, Federal Reserve Bank of Cleveland. Hauser, Michael A., Benedikt M. P¨otscher, and Erhard Reschenhofer. 1999. “Measuring Persistence in Aggregate Output: ARMA Models, Fractionally Integrated ARMA Models and Nonparametric Procedures.” Empirical Economics 24 (2): 243–69. Henry, Marc, and Paolo Zaffaroni. 2002. “The Long Range Dependence Paradigm for Macroeconomics and Finance.” In Theory and Applications of Long Range Dependence, ed. Paul Doukhan, George Oppenheim, and Murad S. Taqqu. Boston: Birkh¨auser. Hondroyiannis, George, and Sophia Lazaretou. 2004. “Inflation Persistence during Periods of Structural Change: An Assessment using Greek Data.” Working Paper No. 370, European Central Bank. Hosking, Jonathan R.M. 1981. “Fractional Differencing.” Biometrika 68 (1): 165–76. Hsu, Chih-Chiang. 2000. “Long Memory or Structural Change: Testing Method and Empirical Examination.” Paper contributed to the Econometric Society World Congress, Seattle, WA. Jord`a, ` Oscar. 2005. “Estimation and Inference of Impulse Responses by Local Projections.” American Economic Review 95 (1): 161–82. Kim, Jae-Young. 2000. “Detection of Change in Persistence of a Linear Time Series.” Journal of Econometrics 95 (1): 97–116. Kim, Chang-Jin, Charles R. Nelson, and Jeremy Piger. 2004. “The Less-Volatile U.S. Economy: A Bayesian Investigation of Timing, Breadth, and Potential Explanations.” Journal of Business and Economic Statistics 22 (1): 80–93. Koop, Gary, Eduardo Ley, Jacek Osiewalski, and Mark F.J. Steel. 1997. “Bayesian Analysis of Long Memory and Persistence using ARFIMA Models.” Journal of Econometrics 76 (1–2): 149–69. Kr¨amer, Walter, and Philipp Sibbertsen. 2002. “Testing for Structural Change in the Presence of Long Memory.” International Journal of Business and Economics 1 (3): 235–43. K¨unsh, H. 1986. “Discrimination between Deterministic Trends and Long Range Dependence.” Journal of Applied Probability 23: 1025–30. Kwiatkowski, Denis, Peter C.B. Phillips, Peter Schmidt, and Yongcheol Shin. 1992. “Testing the Null Hypothesis of Stationarity against the Alternative of a Unit Root.” Journal of Econometrics 54 (1–3): 159–78. Lee, Dongin, and Peter Schmidt. 1996. “On the Power of the KPSS Test of Stationarity against Fractionally-Integrated Alternatives.” Journal of Econometrics 73 (1): 285–302. Levin, Andrew, and Jeremy M. Piger. 2003. “Is Inflation Persistence Intrinsic in Industrial Economies?” Working Paper No. 023E, Federal Reserve Bank of St. Louis. Mandelbrot, Benoit, and James R. Wallis. 1969. “Robustness of the Rescaled Range R/S in the Measurement of Noncyclic Long-Run Statistical Dependence.” Water Resources Research 5:967–88. Mayoral, Laura. 2004a. “A New Minimum Distance Estimator for ARFIMA Processes.” Mimeo. ———. 2004b. “Is the Observed Persistence Spurious or Real? A Test for Fractional Integration versus Structural Breaks.” Mimeo. ———. 2005. “Lagrange Multiplier Tests for Long Memory and Breaks.” Mimeo. Michelacci, Claudio, and Paolo Zaffaroni. 2000. “(Fractional) Betaconvergence.” Journal of Monetary Economics 45 (1): 129–53. Mikosch, Thomas, and Catalin Starica. 2004. “Non-stationarities in Financial Time Series, the Long Range Dependence, and the IGARCH Effects.” Review of Economics and Statistics 86 (1): 378–90. Newey, Whitney K., and Kenneth D.West. 1994. “Automatic Lag Selection in Covariance Matrix Estimation.” Review of Economics Studies 61:631–53. Ng, Serena, and Pierre Perron. 2001. “Lag Length Selection and the Construction of Unit Root Tests with Good Size and Power.” Econometrica 69 (6): 1519–54. Nunes, Luis C., Chung-Ming Kuan, and Paul Newbold. 1995. “Spurious Break.” Econometric Theory 11 (4): 736–49. Ooms, Marius, and Jurgen A. Doornik. 1999. “Inference and Forecasting for Fractional Autoregressive Integrated Moving Average Models; with an Application to US and UK Inflation.” Econometric Institute Report 9947/A, Erasmus University Rotterdam. O’Reilly, Gerard, and Karl Whelan. 2004. “Has Euro-Area Inflation Persistence Changed over Time?” Working Paper No. 335, European Central Bank. Parke, William R. 1999. “What Is Fractional Integration?” The Review of Economics and Statistics 81 (4): 632–38. Perron, Pierre. 1989. “The Great Crash, the Oil Price Shock and the Unit Root Hypothesis.” Econometrica 58:1361–1401. Perron, Pierre, and Xiaokang Zhu. 2005. “Structural Breaks with Deterministic and Stochastic Trends.” Journal of Econometrics 129 (1–2): 65–119. Phillips, Peter C.B., and Pierre Perron. 1988. “Testing for a Unit Root in Time Series Regression.”Biometrika 75 (2): 335–46. Pivetta, Frederic, and Ricardo Reis. 2004. “The Persistence of Inflation in the United States.” Mimeo, Harvard University. Roberts, John M. 2001. “How Well Does the New Keynesian Sticky- Price Model Fit the Data?” Finance and Economics Discussion Series Paper No. 2001-13, Board of Governors of the Federal Reserve System. Robinson, Peter M. 1978. “Statistical Inference for a Random Coefficient Autoregressive Model.” Scandinavian Journal of Statistics 5:163–68. Rotemberg, Julio. 1987. “The New Keynesian Microfoundations.” Macroeconomics Annual 2:69–104. Sargent, Thomas J. 1999. The Conquest of American Inflation. Princeton, NJ: Princeton University Press. Solow, R. 1968. “Recent Controversy on the Theory of Inflation: An Eclectic View.” In Inflation: Its Causes, Consequences, and Control; Proceedings of a Symposium, ed. Stephen W. Rousseas. New York: New York University. Sowell, Fallaw. 1992a. “Maximum Likelihood Estimation of Stationary Univariate Fractionally Integrated Time Series.” Journal of Econometrics 53 (1–3): 165–88. ———. 1992b. “Modeling Long-Run Behavior with the Fractional ARIMA Model.” Journal of Monetary Economics 29 (2): 277–302. Stock, J. 2001. “Comment on Evolving Post World War II U.S. Inflation Dynamics.” Mimeo, Harvard University. Taylor, John B. 1979. “Staggered Wage Setting in a Macro Model.” American Economic Review 69:108–13. ———. 1980. “Aggregate Dynamics and Staggered Contracts.” Journal of Political Economy 88 (1): 1–23. ———. 1998. “Monetary Policy Guidelines for Unemployment and Inflation Stability.” In Inflation, Unemployment and Monetary Policy, ed. Robert M. Solow and John B. Taylor. Cambridge, MA: MIT Press. ———. 2000. “Low Inflation, Pass-Through and the Pricing Power of Firms.” European Economic Review 44 (7): 1389–1408. Teverosky, V., and M. Taqqu. 1997. “Testing for Long-Range Dependence in the Presence of Shifting Means or a Slowly Declining Trend, Using a Variance-Type Estimator.” Journal of Time Series Analysis 18 (3): 279–304. Tobin, J. 1968. “Discussion.” In Inflation: Its Causes, Consequences, and Control; Proceedings of a Symposium, ed. Stephen W. Rousseas. New York: New York University. Zaffaroni, Paolo. 2004. “Contemporaneous Aggregation of Linear Dynamic Models in Large Economies.” Journal of Econometrics 120 (1): 75–102. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/815 |