A GARCH Model of Inflation and Inflation Uncertainty with Simultaneous Feedback
We examine the relationship between inflation and inflation uncertainty using a GARCH model that allows for simultaneous feedback between the conditional mean and variance of inflation. We also derive a number of theoretical econometric results and illustrate the relevance of these results with an empirical example of the US monthly inflation process. Our results show that there is strong evidence in favour of a positive bi-directional relationship between inflation and inflation uncertainty in agreement with the predictions of economic theory.
|Date of creation:||May 2000|
|Date of revision:|
|Contact details of provider:|| Postal: |
Phone: +44 (0) 20 7882 5096
Fax: +44 (0) 20 8983 3580
Web page: http://www.econ.qmul.ac.uk
More information through EDIRC
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.:
- Laurence Ball & Stephen G. Cecchetti, 1990. "Inflation and Uncertainty at Long and Short Horizons," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 21(1), pages 215-254.
- Menelaos Karanasos, . "Prediction in ARMA models with GARCH in Mean Effects," Discussion Papers 99/11, Department of Economics, University of York.
- Fischer, Stanley, 1981. "Towards an understanding of the costs of inflation: II," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 15(1), pages 5-41, January.
- Elyasiani, Elyas & Mansur, Iqbal, 1998. "Sensitivity of the bank stock returns distribution to changes in the level and volatility of interest rate: A GARCH-M model," Journal of Banking & Finance, Elsevier, vol. 22(5), pages 535-563, May.
- 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.
- 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.
- 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.
- Marine Carrasco & Xiaohong Chen, 1999. "b - Mixing and Moment Properties of Various GARCH, Stochastic Volatility and ACD Models," Working Papers 99-41, Centre de Recherche en Economie et Statistique.
- Caporale, Tony & McKiernan, Barbara, 1996. "The Relationship between Output Variability and Growth: Evidence from Post War UK Data," Scottish Journal of Political Economy, Scottish Economic Society, vol. 43(2), pages 229-36, 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.
- Glosten, Lawrence R & Jagannathan, Ravi & Runkle, David E, 1993.
" On the Relation between the Expected Value and the Volatility of the Nominal Excess Return on Stocks,"
Journal of Finance,
American Finance Association, vol. 48(5), pages 1779-1801, December.
- Lawrence R. Glosten & Ravi Jagannathan & David E. Runkle, 1993. "On the relation between the expected value and the volatility of the nominal excess return on stocks," Staff Report 157, Federal Reserve Bank of Minneapolis.
- 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.
- Ball, Laurence, 1992.
"Why does high inflation raise inflation uncertainty?,"
Journal of Monetary Economics,
Elsevier, vol. 29(3), pages 371-388, June.
- Laurence Ball, 1990. "Why Does High Inflation Raise Inflation Uncertainty?," NBER Working Papers 3224, National Bureau of Economic Research, Inc.
- Campbell, John Y. & Hentschel, Ludger, 1992.
"No news is good news *1: An asymmetric model of changing volatility in stock returns,"
Journal of Financial Economics,
Elsevier, vol. 31(3), pages 281-318, June.
- Hentschel, Ludger & Campbell, John, 1992. "No News is Good News: An Asymmetric Model of Changing Volatility in Stock Returns," Scholarly Articles 3220232, Harvard University Department of Economics.
- John Y. Campbell & Ludger Hentschel, 1991. "No News is Good News: An Asymmetric Model of Changing Volatility in Stock Returns," NBER Working Papers 3742, National Bureau of Economic Research, Inc.
- Moosa, Imad A. & Al-Loughani, Nabeel E., 1994. "Unbiasedness and time varying risk premia in the crude oil futures market," Energy Economics, Elsevier, vol. 16(2), pages 99-105, April.
- Hurn, A S & McDonald, A D & Moody, T, 1995. "In Search of Time-Varying Term Premia in the London Interbank Market," Scottish Journal of Political Economy, Scottish Economic Society, vol. 42(2), pages 152-64, May.
- Davis, George K & Kanago, Bryce E, 2000. "The Level and Uncertainty of Inflation: Results from OECD Forecasts," Economic Inquiry, Western Economic Association International, vol. 38(1), pages 58-72, January.
- Hansson, Bjorn & Hordahl, Peter, 1997. " Changing Risk Premia: Evidence from a Small Open Economy," Scandinavian Journal of Economics, Wiley Blackwell, vol. 99(2), pages 335-50, June.
- Giraitis, Liudas & Kokoszka, Piotr & Leipus, Remigijus, 2000. "Stationary Arch Models: Dependence Structure And Central Limit Theorem," Econometric Theory, Cambridge University Press, vol. 16(01), pages 3-22, February.
- Black, Angela & Fraser, Patricia, 1995. "U.K. Stock Returns: Predictability and Business Conditions," The Manchester School of Economic & Social Studies, University of Manchester, vol. 63(0), pages 85-102, Suppl..
- 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.
- Karanasos, Menelaos, 1999. "The second moment and the autocovariance function of the squared errors of the GARCH model," Journal of Econometrics, Elsevier, vol. 90(1), pages 63-76, May.
- Fraser, Patricia, 1996. "UK Excess Share Returns: Firm Size and Volatility," Scottish Journal of Political Economy, Scottish Economic Society, vol. 43(1), pages 71-84, February.
- Engle, Robert F & Lilien, David M & Robins, Russell P, 1987. "Estimating Time Varying Risk Premia in the Term Structure: The Arch-M Model," Econometrica, Econometric Society, vol. 55(2), pages 391-407, March.
- Longstaff, Francis A & Schwartz, Eduardo S, 1992. " Interest Rate Volatility and the Term Structure: A Two-Factor General Equilibrium Model," Journal of Finance, American Finance Association, vol. 47(4), pages 1259-82, September.
- Price, Simon, 1994. "Aggregate Uncertainty, Forward Looking Behaviour and the Demand for Manufacturing Labour in the UK," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 56(3), pages 267-83, August.
- 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.
- Hall, S G, 1991. "An Application of the Stochastic GARCH-in-Mean Model to Risk Premia in the London Metal Exchange," The Manchester School of Economic & Social Studies, University of Manchester, vol. 59(0), pages 57-71, Supplemen.
When requesting a correction, please mention this item's handle: RePEc:qmw:qmwecw:wp414. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Nick Vriend)
If references are entirely missing, you can add them using this form.