Lead-lag cross-sectional structure and detection of correlated–anticorrelated regime shifts: Application to the volatilities of inflation and economic growth rates
We have recently introduced the “thermal optimal path” (TOP) method to investigate the real-time lead-lag structure between two time series. The TOP method consists in searching for a robust noise-averaged optimal path of the distance matrix along which the two time series have the greatest similarity. Here, we generalize the TOP method by introducing a more general definition of distance which takes into account possible regime shifts between positive and negative correlations. This generalization to track possible changes of correlation signs is able to identify possible transitions from one convention (or consensus) to another. Numerical simulations on synthetic time series verify that the new TOP method performs as expected even in the presence of substantial noise. We then apply it to investigate changes of convention in the dependence structure between the historical volatilities of the USA inflation rate and economic growth rate. Several measures show that the new TOP method significantly outperforms standard cross-correlation methods.
Volume (Year): 380 (2007)
Issue (Month): C ()
|Contact details of provider:|| Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/|
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.:
- Jim Lee, 2002. "The Inflation-Output Variability Tradeoff and Monetary Policy: Evidence from a GARCH Model," Southern Economic Journal, Southern Economic Association, vol. 69(1), pages 175-188, July.
- Jim Lee, 2004. "The Inflation-Output Variability Trade-off: OECD Evidence," Contemporary Economic Policy, Western Economic Association International, vol. 22(3), pages 344-356, 07.
- Defina, Robert H. & Stark, Thomas C. & Taylor, Herbert E., 1996. "The long-run variance of output and inflation under alternative monetary policy rules," Journal of Macroeconomics, Elsevier, vol. 18(2), pages 235-251.
- Davis, George & Kanago, Bryce, 1996. "On Measuring the Effect of Inflation Uncertainty on Real GNP Growth," Oxford Economic Papers, Oxford University Press, vol. 48(1), pages 163-75, January.
- Davis, George & Kanago, Bryce, 1998. "High and Uncertain Inflation: Results from a New Data Set," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 30(2), pages 218-30, May.
- Ashley, R & Granger, C W J & Schmalensee, R, 1980. "Advertising and Aggregate Consumption: An Analysis of Causality," Econometrica, Econometric Society, vol. 48(5), pages 1149-67, July.
- Taylor, John B, 1979. "Estimation and Control of a Macroeconomic Model with Rational Expectations," Econometrica, Econometric Society, vol. 47(5), pages 1267-86, September.
- Didier Sornette & Wei-Xing Zhou, 2005. "Non-parametric determination of real-time lag structure between two time series: the 'optimal thermal causal path' method," Quantitative Finance, Taylor & Francis Journals, vol. 5(6), pages 577-591.
- Stilianos Fountas & Menelaos Karanasos & Jinki Kim, 2006. "Inflation Uncertainty, Output Growth Uncertainty and Macroeconomic Performance," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 68(3), pages 319-343, 06.
- Wyart, Matthieu & Bouchaud, Jean-Philippe, 2007. "Self-referential behaviour, overreaction and conventions in financial markets," Journal of Economic Behavior & Organization, Elsevier, vol. 63(1), pages 1-24, May.
- Fuhrer, Jeffrey C, 1997. "Inflation/Output Variance Trade-Offs and Optimal Monetary Policy," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(2), pages 214-34, May.
- Zhou, Wei-Xing & Sornette, Didier, 2006. "Non-parametric determination of real-time lag structure between two time series: The "optimal thermal causal path" method with applications to economic data," Journal of Macroeconomics, Elsevier, vol. 28(1), pages 195-224, March.
- David Cobham & Peter Macmillan & David Mcmillan, 2004. "The inflation/output variability trade-off: further evidence," Applied Economics Letters, Taylor & Francis Journals, vol. 11(6), pages 347-350.
- Kevin B. Grier & Mark J. Perry, 2000. "The effects of real and nominal uncertainty on inflation and output growth: some garch-m evidence," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(1), pages 45-58.
- Engle, Robert F. & White (the late), Halbert (ed.), 1999. "Cointegration, Causality, and Forecasting: Festschrift in Honour of Clive W. J. Granger," OUP Catalogue, Oxford University Press, number 9780198296836, December.
- Hayford, Marc D., 2000. "Inflation Uncertainty, Unemployment Uncertainty and Economic Activity," Journal of Macroeconomics, Elsevier, vol. 22(2), pages 315-329, April.
- Granger, C. W. J., 1980. "Testing for causality : A personal viewpoint," Journal of Economic Dynamics and Control, Elsevier, vol. 2(1), pages 329-352, May.
- Robert Mundell, 1963. "Inflation and Real Interest," Journal of Political Economy, University of Chicago Press, vol. 71, pages 280.
- Friedman, Milton, 1977. "Nobel Lecture: Inflation and Unemployment," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 451-72, June.
- Fahim Al-Marhubi, 1998. "Cross-country evidence on the link between inflation volatility and growth," Applied Economics, Taylor & Francis Journals, vol. 30(10), pages 1317-1326.
- Fischer, Stanley, 1974. "Money and the Production Function," Economic Inquiry, Western Economic Association International, vol. 12(4), pages 517-33, December.
When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:380:y:2007:i:c:p:287-296. 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: (Shamier, Wendy)
If references are entirely missing, you can add them using this form.