Convergence of Prices and Rates of Inflation
We consider how unit-root and stationarity tests can be used to study the convergence of prices and rates of inflation. We show how the joint use of these tests in levels and first differences allows the researcher to distinguish between series that are converging and series that have already converged, and we set out a strategy to establish whether convergence occurs in relative prices or just in rates of inflation. Special attention is paid to the issue of whether a mean should be extracted in carrying out tests in first differences and whether there is an advantage to adopting a (Dickey-Fuller) unit-root test based on deviations from the last observation. The asymptotic distribution of this last test statistic is given and Monte Carlo simulation experiments show that the test yields considerable power gains for highly persistent autoregressive processes with 'relatively large' initial conditions. The tests are applied to the monthly series of the consumer price index in the Italian regional capitals over the period 1970-2003. Copyright 2006 Blackwell Publishing Ltd.
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Volume (Year): 68 (2006)
Issue (Month): s1 (December)
|Contact details of provider:|| Postal: |
Web page: http://www.blackwellpublishing.com/journal.asp?ref=0305-9049
More information through EDIRC
|Order Information:||Web: http://www.blackwellpublishing.com/subs.asp?ref=0305-9049|
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.:
- Renato Flôres & Philippe Jorion & Pierre-Yves Preumont & Ariane Szafarz, 1999.
"Multivariate Unit root Tests of the PPP Hypothesis,"
ULB Institutional Repository
2013/711, ULB -- Universite Libre de Bruxelles.
- Flores, Renato & Jorion, Philippe & Preumont, Pierre-Yves & Szafarz, Ariane, 1999. "Multivariate unit root tests of the PPP hypothesis," Journal of Empirical Finance, Elsevier, vol. 6(4), pages 335-353, October.
- Charles Engel & John H. Rogers, 1999.
"Violating the Law of One Price: Should We Make a Federal Case Out of It?,"
NBER Working Papers
7242, National Bureau of Economic Research, Inc.
- Engel, Charles & Rogers, John H, 2001. "Violating the Law of One Price: Should We Make a Federal Case Out of It?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 33(1), pages 1-15, February.
- Charles Engel & John H. Rogers, 1999. "Violating the law of one price: should we make a federal case out of it?," International Finance Discussion Papers 644, Board of Governors of the Federal Reserve System (U.S.).
- Charles Engel & John H. Rogers, 2000. "Violating the Law of One Price: Should We Make a Federal Case Out of It?," Working Papers 0027, University of Washington, Department of Economics.
- Charles Engel & John H. Rogers, 2000. "Violating the Law of One Price: Should We Make a Federal Case Out of It?," Discussion Papers in Economics at the University of Washington 0027, Department of Economics at the University of Washington.
- Busetti, Fabio & Taylor, A M Robert, 2003. "Variance Shifts, Structural Breaks, and Stationarity Tests," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(4), pages 510-31, October.
- Dickey, David A & Pantula, Sastry G, 1987. "Determining the Ordering of Differencing in Autoregressive Processes," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(4), pages 455-61, October.
- Pasaran, M.H. & Im, K.S. & Shin, Y., 1995.
"Testing for Unit Roots in Heterogeneous Panels,"
Cambridge Working Papers in Economics
9526, Faculty of Economics, University of Cambridge.
- Fabio Busetti & A. M. Robert Taylor, 2003.
"Testing against stochastic trend and seasonality in the presence of unattended breaks and unit roots,"
Temi di discussione (Economic working papers)
470, Bank of Italy, Economic Research and International Relations Area.
- Busetti, Fabio & Taylor, A. M. Robert, 2003. "Testing against stochastic trend and seasonality in the presence of unattended breaks and unit roots," Journal of Econometrics, Elsevier, vol. 117(1), pages 21-53, November.
- Banerjee, Anindya, 1999. " Panel Data Unit Roots and Cointegration: An Overview," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(0), pages 607-29, Special I.
- Pantula, Sastry G., 1989. "Testing for Unit Roots in Time Series Data," Econometric Theory, Cambridge University Press, vol. 5(02), pages 256-271, August.
- Kaddour Hadri, 2000.
"Testing for stationarity in heterogeneous panel data,"
Royal Economic Society, vol. 3(2), pages 148-161.
- Tom Doan, . "HADRI: RATS procedure to implement Hadri test for unit roots in panel data," Statistical Software Components RTS00084, Boston College Department of Economics.
- Kaddour Hadri, 1999. "Testing For Stationarity In Heterogeneous Panel Data," Research Papers 1999_04, University of Liverpool Management School.
- Busettti, F. & Harvey, A., 2002. "Testing for Drift in a Time Series," Cambridge Working Papers in Economics 0237, Faculty of Economics, University of Cambridge.
- Abuaf, Niso & Jorion, Philippe, 1990. " Purchasing Power Parity in the Long Run," Journal of Finance, American Finance Association, vol. 45(1), pages 157-74, March.
- Graham Elliott & Thomas J. Rothenberg & James H. Stock, 1992.
"Efficient Tests for an Autoregressive Unit Root,"
NBER Technical Working Papers
0130, National Bureau of Economic Research, Inc.
- Parsley, David C & Wei, Shang-Jin, 1996.
"Convergence to the Law of One Price without Trade Barriers or Currency Fluctuations,"
The Quarterly Journal of Economics,
MIT Press, vol. 111(4), pages 1211-36, November.
- David C. Parsley & Shang-Jin Wei, 1996. "Convergence to the Law of One Price Without Trade Barriers or Currency Fluctuations," NBER Working Papers 5654, National Bureau of Economic Research, Inc.
- Joerg Breitung & M. Hashem Pesaran, 2005.
"Unit Roots and Cointegration in Panels,"
CESifo Working Paper Series
1565, CESifo Group Munich.
- Jörg Breitung & M. Hashem Pesaran, 2005. "Unit Roots and Cointegration in Panels," IEPR Working Papers 05.32, Institute of Economic Policy Research (IEPR).
- Breitung, J. & Pesaran, M.H., 2005. "Unit Roots and Cointegration in Panels," Cambridge Working Papers in Economics 0535, Faculty of Economics, University of Cambridge.
- Breitung, Jörg & Pesaran, Mohammad Hashem, 2005. "Unit roots and cointegration in panels," Discussion Paper Series 1: Economic Studies 2005,42, Deutsche Bundesbank, Research Centre.
- Bart Hobijn & Philip Hans Franses, 2000. "Asymptotically perfect and relative convergence of productivity," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(1), pages 59-81.
- Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992.
"Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?,"
Journal of Econometrics,
Elsevier, vol. 54(1-3), pages 159-178.
- Denis Kwiatkowski & Peter C.B. Phillips & Peter Schmidt, 1991. "Testing the Null Hypothesis of Stationarity Against the Alternative of a Unit Root: How Sure Are We That Economic Time Series Have a Unit Root?," Cowles Foundation Discussion Papers 979, Cowles Foundation for Research in Economics, Yale University.
- Kwiatkowski, D. & Phillips, P.C.B. & Schmidt, P., 1990. "Testing the Null Hypothesis of Stationarity Against the Alternative of Unit Root : How Sure are we that Economic Time Series have a Unit Root?," Papers 8905, Michigan State - Econometrics and Economic Theory.
- Muller, Ulrich K., 2005. "Size and power of tests of stationarity in highly autocorrelated time series," Journal of Econometrics, Elsevier, vol. 128(2), pages 195-213, October.
- Stephen G. Cecchetti & Nelson C. Mark & Robert J. Sonora, 2002. "Price Index Convergence Among United States Cities," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(4), pages 1081-1099, November.
- Ulrich K. M¸ller & Graham Elliott, 2003. "Tests for Unit Roots and the Initial Condition," Econometrica, Econometric Society, vol. 71(4), pages 1269-1286, 07.
- Peter C.B.Phillips & Donggyu Sul, 2002. "Dynamic Panel Estimation and Homogeneity Testing Under Cross Section Dependence," Cowles Foundation Discussion Papers 1362, Cowles Foundation for Research in Economics, Yale University.
- Chen, L. L. & Devereux, J., 2003. "What can US city price data tell us about purchasing power parity?," Journal of International Money and Finance, Elsevier, vol. 22(2), pages 213-222, April.
- Enrique Alberola & José M. Marqués, 1999. "On the Relevance and Nature of Regional Inflation Differentials: the Case of Spain," Banco de Espa�a Working Papers 9913, Banco de Espa�a.
- Fabian BORNHORST, 2003. "On the use of panel unit root tests on cross-sectionally dependent data: an application to PPP," Economics Working Papers ECO2003/24, European University Institute.
- Evans, Paul & Karras, Georgios, 1996. "Convergence revisited," Journal of Monetary Economics, Elsevier, vol. 37(2-3), pages 249-265, April.
- Kim, Tae-Hwan & Leybourne, Stephen & Newbold, Paul, 2002. "Unit root tests with a break in innovation variance," Journal of Econometrics, Elsevier, vol. 109(2), pages 365-387, August.
- Levin, Andrew & Lin, Chien-Fu & James Chu, Chia-Shang, 2002.
"Unit root tests in panel data: asymptotic and finite-sample properties,"
Journal of Econometrics,
Elsevier, vol. 108(1), pages 1-24, May.
- Tom Doan, . "LEVINLIN: RATS procedure to perform Levin-Lin-Chu test for unit roots in panel data," Statistical Software Components RTS00242, Boston College Department of Economics.
When requesting a correction, please mention this item's handle: RePEc:bla:obuest:v:68:y:2006:i:s1:p:863-877. 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: (Wiley-Blackwell Digital Licensing)or (Christopher F. Baum)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.