Testing for Conditional Heteroscedasticity in the Components of Inflation
In this paper we propose a model for monthly inflation with stochastic trend, seasonal and transitory components with QGARCH disturbances. This model distinguishes whether the long-run or short-run components are heteroscedastic. Furthermore, the uncertainty associated with these components may increase with the level of inflation as postulated by Friedman. We propose to use the differences between the autocorrelations of squares and the squared autocorrelations of the auxiliary residuals to identify heteroscedastic components. We show that conditional heteroscedasticity truly present in the data can be rejected when looking at the correlations of standardized residuals while the autocorrelations of auxiliary residuals have more power to detect conditional heteroscedasticity. Furthermore, the proposed statistics can help to decide which component is heteroscedastic. Their finite sample performance is compared with that of a Lagrange Multiplier test by means of Monte Carlo experiments. Finally, we use auxiliary residuals to detect conditional heteroscedasticity in ten monthly inflation series.
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Volume (Year): 13 (2009)
Issue (Month): 2 (May)
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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- James H. Stock & Mark W. Watson, 2007.
"Why Has U.S. Inflation Become Harder to Forecast?,"
Journal of Money, Credit and Banking,
Blackwell Publishing, vol. 39(s1), pages 3-33, 02.
- Tim Bollerslev, 1986.
"Generalized autoregressive conditional heteroskedasticity,"
EERI Research Paper Series
EERI RP 1986/01, Economics and Econometrics Research Institute (EERI), Brussels.
- Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
- Maravall, Agustin, 1987. "Minimum Mean Squared Error Estimation of the Noise in Unobserved Component Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(1), pages 115-20, January.
- Caporale, Tony & McKiernan, Barbara, 1997. "High and variable inflation: Further evidence on the Friedman hypothesis," Economics Letters, Elsevier, vol. 54(1), pages 65-68, January.
- Hwang, Y., 2001. "Relationship between inflation rate and inflation uncertainty," Economics Letters, Elsevier, vol. 73(2), pages 179-186, November.
- Bhar, Ramaprasad & Hamori, Shigeyuki, 2004. "Empirical characteristics of the permanent and transitory components of stock return: analysis in a Markov switching heteroscedasticity framework," Economics Letters, Elsevier, vol. 82(2), pages 157-165, February.
- Garcia, R. & Perron, P., 1994.
"An Analysis of the Real Interest rate Under Regime Shifts,"
Cahiers de recherche
9428, Universite de Montreal, Departement de sciences economiques.
- Garcia, Rene & Perron, Pierre, 1996. "An Analysis of the Real Interest Rate under Regime Shifts," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 111-25, February.
- René Garcia & Pierre Perron, 1995. "An Analysis of the Real Interest Rate Under Regime Shifts," CIRANO Working Papers 95s-05, CIRANO.
- Garcia, R. & Perron, P., 1994. "An Analysis of the Real Interest rate Under Regime Shifts," Cahiers de recherche 9428, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- Garcia, R. & Perron, P., 1990. "An Anlysis Of The Real Interest Rate Under Regime Shifts," Papers 353, Princeton, Department of Economics - Econometric Research Program.
- Cukierman, Alex & Wachtel, Paul, 1979. "Differential Inflationary Expectations and the Variability of the Rate of Inflation: Theory and Evidence," American Economic Review, American Economic Association, vol. 69(4), pages 595-609, September.
- A. Kontonikas, 2002.
"Inflation and Inflation Uncertainty in the United Kingdom: Evidence from GARCH modelling,"
Economics and Finance Discussion Papers
02-28, Economics and Finance Section, School of Social Sciences, Brunel University.
- Kontonikas, A., 2004. "Inflation and inflation uncertainty in the United Kingdom, evidence from GARCH modelling," Economic Modelling, Elsevier, vol. 21(3), pages 525-543, May.
- A. Kontonikas, 2002. "Inflation and Inflation Uncertainty in the United Kingdom: Evidence from GARCH modelling," Public Policy Discussion Papers 02-28, Economics and Finance Section, School of Social Sciences, Brunel University.
- Broto, Carmen & Ruiz, Esther, 2006.
"Unobserved component models with asymmetric conditional variances,"
Computational Statistics & Data Analysis,
Elsevier, vol. 50(9), pages 2146-2166, May.
- Carmen Broto & Esther Ruiz, 2003. "Unobserved Component Models With Asymmetric Conditional Variances," Statistics and Econometrics Working Papers ws032003, Universidad Carlos III, Departamento de Estadística y Econometría.
- Stilianos Fountas & Menelaos Karanasos & Marika Karanassou, .
"A GARCH Model of Inflation and Inflation Uncertainty with Simultaneous Feedback,"
00/24, Department of Economics, University of York.
- Stilianos Fountas & Menelaos Karanasos & Marika Karanassou, 2000. "A GARCH Model of Inflation and Inflation Uncertainty with Simultaneous Feedback," Working Papers 0047, National University of Ireland Galway, Department of Economics, revised 2000.
- Stilianos Fountas & Menelaos Karanasos & Marika Karanassou, 2000. "A GARCH Model of Inflation and Inflation Uncertainty with Simultaneous Feedback," Working Papers 414, Queen Mary University of London, School of Economics and Finance.
- Sentana, Enrique, 1995.
"Quadratic ARCH Models,"
Review of Economic Studies,
Wiley Blackwell, vol. 62(4), pages 639-61, October.
- Brandt, Michael W. & Kang, Qiang, 2004. "On the relationship between the conditional mean and volatility of stock returns: A latent VAR approach," Journal of Financial Economics, Elsevier, vol. 72(2), pages 217-257, May.
- Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
- Martin Evans & Paul Wachtel, 1993. "Inflation regimes and the sources of inflation uncertainty," Proceedings, Federal Reserve Bank of Cleveland, pages 475-520.
- Evans, Martin, 1991. "Discovering the Link between Inflation Rates and Inflation Uncertainty," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 23(2), pages 169-84, May.
- Daal, Elton & Naka, Atsuyuki & Sanchez, Benito, 2005. "Re-examining inflation and inflation uncertainty in developed and emerging countries," Economics Letters, Elsevier, vol. 89(2), pages 180-186, November.
- Conrad, C. & Karanasos, M., 2005. "On the inflation-uncertainty hypothesis in the USA, Japan and the UK: a dual long memory approach," Japan and the World Economy, Elsevier, vol. 17(3), pages 327-343, August.
- Koopman S.J. & Bos C.S., 2004. "State Space Models With a Common Stochastic Variance," Journal of Business & Economic Statistics, American Statistical Association, vol. 22, pages 346-357, July.
- Charles S. Bos & Neil Shephard, 2004.
"Inference for Adaptive Time Series Models: Stochastic Volatility and Conditionally Gaussian State Space Form,"
2004-W02, Economics Group, Nuffield College, University of Oxford.
- Charles Bos & Neil Shephard, 2006. "Inference for Adaptive Time Series Models: Stochastic Volatility and Conditionally Gaussian State Space Form," Econometric Reviews, Taylor & Francis Journals, vol. 25(2-3), pages 219-244.
- Neil Shephard & Charles S. Bos, 2004. "Inference for adaptive time series models: stochastic volatility and conditionally Gaussian state space form," Economics Series Working Papers 2004-W02, University of Oxford, Department of Economics.
- Wilfredo Palma & Mauricio Zevallos, 2004. "Analysis of the correlation structure of square time series," Journal of Time Series Analysis, Wiley Blackwell, vol. 25(4), pages 529-550, 07.
- Harvey, Andrew & Ruiz, Esther & Sentana, Enrique, 1992. "Unobserved component time series models with Arch disturbances," Journal of Econometrics, Elsevier, vol. 52(1-2), pages 129-157.
- Ord, J.K. & Koehler, A. & Snyder, R.D., 1995. "Estimation and Prediction for a Class of Dynamic Nonlinear Statistical Models," Monash Econometrics and Business Statistics Working Papers 4/95, Monash University, Department of Econometrics and Business Statistics.
- Ding, Zhuanxin & Granger, Clive W. J. & Engle, Robert F., 1993. "A long memory property of stock market returns and a new model," Journal of Empirical Finance, Elsevier, vol. 1(1), pages 83-106, June.
- Allan D. Brunner & Gregory D. Hess, 1990.
"Are higher levels of inflation less predictable? A state-dependent conditional heteroskedasticity approach,"
Finance and Economics Discussion Series
141, Board of Governors of the Federal Reserve System (U.S.).
- Brunner, Allan D & Hess, Gregory D, 1993. "Are Higher Levels of Inflation Less Predictable? A State-Dependent Conditional Heteroscedasticity Approach," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(2), pages 187-97, April.
- Cosimano, Thomas F & Jansen, Dennis W, 1988. "Estimates of the Variance of U.S. Inflation Based upon the ARCH Model: A Comment," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 20(3), pages 409-21, August.
- Friedman, Milton, 1977. "Nobel Lecture: Inflation and Unemployment," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 451-72, June.
- Engle, Robert F, 1983. "Estimates of the Variance of U.S. Inflation Based upon the ARCH Model," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 15(3), pages 286-301, August.
- Grier, Kevin B. & Perry, Mark J., 1998. "On inflation and inflation uncertainty in the G7 countries," Journal of International Money and Finance, Elsevier, vol. 17(4), pages 671-689, August.
- Harvey, Andrew C & Koopman, Siem Jan, 1992. "Diagnostic Checking of Unobserved-Components Time Series Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(4), pages 377-89, October.
- Cukierman, Alex & Meltzer, Allan H, 1986. "A Theory of Ambiguity, Credibility, and Inflation under Discretion and Asymmetric Information," Econometrica, Econometric Society, vol. 54(5), pages 1099-1128, September.
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