(Fractional) Beta Convergence
Unit roots in output, an exponential 2% rate of convergence and no change in the underlying dynamics of output seem to be three stylized facts that can not go together. This paper extends the Solow-Swan growth model allowing for cross-sectional heterogeneity. In this framework, aggregate shocks might vanish at an hyperbolic rather than at an exponential rate. This implies that the level of output can exhibit long memory and that standard tests fail to reject the null of a unit root despite mean reversion. Exploiting secular time series properties of GDP, we conclude that traditional approaches to test for uniform (conditional and unconditional) convergence suit first step approximation. We show both theoretically and empirically how the uniform 2% rate of convergence repeatedly found in the empirical literature is the outcome of an underlying parameter of fractional integration strictly between 0.5 and 1. This is consistent with both time series and cross-sectional evidence recently produced.
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|Date of creation:||1998|
|Date of revision:|
|Contact details of provider:|| Postal: Centro de Estudios Monetarios Y Financieros. Casado del Alisal, 5-28014 Madrid, Spain.|
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- Danny Quah, 1992.
"Empirical cross-section dynamics in economic growth,"
Discussion Paper / Institute for Empirical Macroeconomics
75, Federal Reserve Bank of Minneapolis.
- Quah, Danny, 1993. "Empirical cross-section dynamics in economic growth," European Economic Review, Elsevier, vol. 37(2-3), pages 426-434, April.
- Danny Quah, 1992. "Empirical Cross-Section Dynamics in Economic Growth," FMG Discussion Papers dp154, Financial Markets Group.
- Charles I. Jones, 1995. "Time Series Tests of Endogenous Growth Models," The Quarterly Journal of Economics, Oxford University Press, vol. 110(2), pages 495-525.
- Robert J. Barro, 1989.
"Economic Growth in a Cross Section of Countries,"
NBER Working Papers
3120, National Bureau of Economic Research, Inc.
- Andrew B. Bernard & Steven N. Durlauf, 1994.
"Interpreting Tests of the Convergence Hypothesis,"
NBER Technical Working Papers
0159, National Bureau of Economic Research, Inc.
- Nelson, Charles R. & Plosser, Charles I., 1982. "Trends and random walks in macroeconmic time series : Some evidence and implications," Journal of Monetary Economics, Elsevier, vol. 10(2), pages 139-162.
- Durlauf, Steven N & Phillips, Peter C B, 1988.
"Trends versus Random Walks in Time Series Analysis,"
Econometric Society, vol. 56(6), pages 1333-54, November.
- Steven N. Durlauf & Peter C.B. Phillips, 1986. "Trends Versus Random Walks in Time Series Analysis," Cowles Foundation Discussion Papers 788, Cowles Foundation for Research in Economics, Yale University.
- Nelson, Charles R & Kang, Heejoon, 1984.
"Pitfalls in the Use of Time as an Explanatory Variable in Regression,"
Journal of Business & Economic Statistics,
American Statistical Association, vol. 2(1), pages 73-82, January.
- Charles R. Nelson & Heejoon Kang, 1983. "Pitfalls in the use of Time as an Explanatory Variable in Regression," NBER Technical Working Papers 0030, National Bureau of Economic Research, Inc.
- Diebold, Francis X & Senhadji, Abdelhak S, 1996. "The Uncertain Unit Root in Real GNP: Comment," American Economic Review, American Economic Association, vol. 86(5), pages 1291-98, December.
- Cochrane, John H, 1988. "How Big Is the Random Walk in GNP?," Journal of Political Economy, University of Chicago Press, vol. 96(5), pages 893-920, October.
- Bernard, Andrew B & Durlauf, Steven N, 1995.
"Convergence in International Output,"
Journal of Applied Econometrics,
John Wiley & Sons, Ltd., vol. 10(2), pages 97-108, April-Jun.
- N. Gregory Mankiw & David Romer & David N. Weil, 1992.
"A Contribution to the Empirics of Economic Growth,"
The Quarterly Journal of Economics,
Oxford University Press, vol. 107(2), pages 407-437.
- John Y. Campbell & N. Gregory Mankiw, 1986.
"Are Output Fluctuations Transitory?,"
NBER Working Papers
1916, National Bureau of Economic Research, Inc.
- Quah, Danny, 1995. "Empirics for Economic Growth and Convergence," CEPR Discussion Papers 1140, C.E.P.R. Discussion Papers.
- Robert J. Barro, 2013.
"Inflation and Economic Growth,"
Annals of Economics and Finance,
Society for AEF, vol. 14(1), pages 121-144, May.
- Sowell, Fallaw, 1990. "The Fractional Unit Root Distribution," Econometrica, Econometric Society, vol. 58(2), pages 495-505, March.
- Glenn D. Rudebusch, 1992.
"The uncertain unit root in real GNP,"
Finance and Economics Discussion Series
193, Board of Governors of the Federal Reserve System (U.S.).
- Danny Quah, 1995. "Empirics for Economic Growth and Convergence," CEP Discussion Papers dp0253, Centre for Economic Performance, LSE.
- Nelson, Charles R & Kang, Heejoon, 1979.
"Spurious Periodicity in Inappropriately Detrended Time Series,"
The Warwick Economics Research Paper Series (TWERPS)
161, University of Warwick, Department of Economics.
- Nelson, Charles R & Kang, Heejoon, 1981. "Spurious Periodicity in Inappropriately Detrended Time Series," Econometrica, Econometric Society, vol. 49(3), pages 741-51, May.
- Francis X. Diebold & Glenn D. Rudebusch, 1988.
"Long memory and persistence in aggregate output,"
Finance and Economics Discussion Series
7, Board of Governors of the Federal Reserve System (U.S.).
- Barro, R.J. & Sala-I-Martin, X., 1991.
"Convergence Across States and Regions,"
629, Yale - Economic Growth Center.
- Barro, Robert J & Sala-i-Martin, Xavier, 1992. "Convergence," Journal of Political Economy, University of Chicago Press, vol. 100(2), pages 223-51, April.
- Robert J. Barro & Xavier Sala-i-Martin, 1991. "Convergence across States and Regions," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 22(1), pages 107-182.
- den Haan, Wouter J., 1995. "Convergence in stochastic growth models The importance of understanding why income levels differ," Journal of Monetary Economics, Elsevier, vol. 35(1), pages 65-82, February.
- Granger, C. W. J., 1980. "Long memory relationships and the aggregation of dynamic models," Journal of Econometrics, Elsevier, vol. 14(2), pages 227-238, October.
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