Further Evidence on the Great Crash, the Oil-Price Shock, and the Unit-Root Hypothesis
Open Access
- 1 July 1992
- journal article
- research article
- Published by Taylor & Francis Ltd in Journal of Business & Economic Statistics
- Vol. 10 (3), 251-270
- https://doi.org/10.1080/07350015.1992.10509904
Abstract
Recently, Perron has carried out tests of the unit-root hypothesis against the alternative hypothesis of trend stationarity with a break in the trend occurring at the Great Crash of 1929 or at the 1973 oil-price shock. His analysis covers the Nelson–Plosser macroeconomic data series as well as a postwar quarterly real gross national product (GNP) series. His tests reject the unit-root null hypothesis for most of the series. This article takes issue with the assumption used by Perron that the Great Crash and the oil-price shock can be treated as exogenous events. A variation of Perron's test is considered in which the breakpoint is estimated rather than fixed. We argue that this test is more appropriate than Perron's because it circumvents the problem of data-mining. The asymptotic distribution of the estimated breakpoint test statistic is determined. The data series considered by Perron are reanalyzed using this test statistic. The empirical results make use of the asymptotics developed for the test statistic as well as extensive finite-sample corrections obtained by simulation. The effect on the empirical results of fat-tailed and temporally dependent innovations is investigated, in brief, by treating the breakpoint as endogenous, we find that there is less evidence against the unit-root hypothesis than Perron finds for many of the data series but stronger evidence against it for several of the series, including the Nelson-Plosser industrial-production, nominal-GNP, and real-GNP series.Keywords
This publication has 17 references indexed in Scilit:
- Tests for Parameter Instability in Regressions with 1(1) ProcessesJournal of Business & Economic Statistics, 1992
- Recursive and Sequential Tests of the Unit-Root and Trend-Break Hypotheses: Theory and International EvidenceJournal of Business & Economic Statistics, 1992
- Searching for a Break in GNPJournal of Business & Economic Statistics, 1992
- The Great Crash, the Oil Price Shock, and the Unit Root HypothesisEconometrica, 1989
- How Big Is the Random Walk in GNP?Journal of Political Economy, 1988
- The Cyclical Component of U. S. Economic ActivityThe Quarterly Journal of Economics, 1987
- Testing for unit roots in autoregressive-moving average models of unknown orderBiometrika, 1984
- Likelihood Ratio Statistics for Autoregressive Time Series with a Unit RootEconometrica, 1981
- Estimating the Dimension of a ModelThe Annals of Statistics, 1978
- A new look at the statistical model identificationIEEE Transactions on Automatic Control, 1974