Is the Bayesian Approach Necessarily Better than the Classical Approach in Unit-Root Test?
Some researchers, for example, Koop (1992), and Sims (1988), advocated for Bayesian alternatives to unit-root testing over the classical approach using the augmented Dickey-Fuller test (ADF). This paper studies what Koop (1992) called the 'Objective' Bayesian approach to unit-root testing. We apply the 'objective' Bayesian unit-root test to a study of long-run purchasing power parity (PPP) for the post-Bretton Woods era. While the classical approach using the ADF test cannot reject the unit-root hypothesis, the Bayesian approach, on the other hand, suggests that the unit-root hypothesis is not strongly supported by the sample data. Rather, the trend-stationary hypothesis receives the highest posterior probability in all cases except for the Japanese yen/German mark real exchange rate where the stationary hypothesis receives the highest posterior probability. In two Monte Carlo simulations, however, we find that the 'objective' Bayesian test have relatively low power in distinguishing between plausible alternatives, making it difficult to draw any conclusions concerning long-run PPP. We conclude that, at least for the 'objective' Bayesian test, the Bayesian approach is not necessary better than the classical ADF approach.
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- Charles Engel & Chang-Jin Kim, 1996.
"The Long-Run U.S./U.K. Real Exchange Rate,"
NBER Working Papers
5777, National Bureau of Economic Research, Inc.
- Engel, C. & Kim, C.J., 1996. "The Long-Run U.S./U.K. real Exchange Rate," Discussion Papers in Economics at the University of Washington 96-14, Department of Economics at the University of Washington.
- Engel, C. & Kim, C.J., 1996. "The Long-Run U.S./U.K. real Exchange Rate," Working Papers 96-14, University of Washington, Department of Economics.
- Abuaf, Niso & Jorion, Philippe, 1990. " Purchasing Power Parity in the Long Run," Journal of Finance, American Finance Association, vol. 45(1), pages 157-174, March.
- Dickey, David A & Fuller, Wayne A, 1981. "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root," Econometrica, Econometric Society, vol. 49(4), pages 1057-72, June.
- Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
- DeJong, D.N. & Whiteman, C.H., 1991.
"The Case for Trend-Stationarity is Stronger than we Thought,"
91-05, University of Iowa, Department of Economics.
- DeJong, David N & Whiteman, Charles H, 1991. "The Case for Trend-Stationarity Is Stronger Than We Thought," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 6(4), pages 413-421, Oct.-Dec..
- Diebold, Francis X & Husted, Steven & Rush, Mark, 1991.
"Real Exchange Rates under the Gold Standard,"
Journal of Political Economy,
University of Chicago Press, vol. 99(6), pages 1252-1271, December.
- Francis X. Diebold & Steven Husted & Mark Rush, 1990. "Real exchange rates under the gold standard," Discussion Paper / Institute for Empirical Macroeconomics 32, Federal Reserve Bank of Minneapolis.
- Christopher A. Sims, 1988.
"Bayesian skepticism on unit root econometrics,"
Discussion Paper / Institute for Empirical Macroeconomics
3, Federal Reserve Bank of Minneapolis.
- Tom Doan, "undated". "BAYESTST: RATS procedure to perform Bayesian Unit Root test," Statistical Software Components RTS00014, Boston College Department of Economics.
- Koop, Gary, 1994. " Recent Progress in Applied Bayesian Econometrics," Journal of Economic Surveys, Wiley Blackwell, vol. 8(1), pages 1-34, March.
- Kari Heimonen, 1999. "Stationarity of the European real exchange rates-evidence from panel data," Applied Economics, Taylor & Francis Journals, vol. 31(6), pages 673-677.
- 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.
- Engle, Robert F & Granger, Clive W J, 1987.
"Co-integration and Error Correction: Representation, Estimation, and Testing,"
Econometric Society, vol. 55(2), pages 251-76, March.
- Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 39(3), pages 106-135.
- Christian J. Murray & David H. Papell, 2000.
"The Purchasing Power Parity Persistence Paradigm,"
Econometric Society World Congress 2000 Contributed Papers
0017, Econometric Society.
- Sims, Christopher A & Uhlig, Harald, 1991.
"Understanding Unit Rooters: A Helicopter Tour,"
Econometric Society, vol. 59(6), pages 1591-99, November.
- Christopher A. Sims & Harald Uhlig, 1988. "Understanding unit rooters: a helicopter tour," Discussion Paper / Institute for Empirical Macroeconomics 4, Federal Reserve Bank of Minneapolis.
- O'Connell, Paul G. J., 1998. "The overvaluation of purchasing power parity," Journal of International Economics, Elsevier, vol. 44(1), pages 1-19, February.
- Lothian, James R., 1998. "Some new stylized facts of floating exchange rates," Journal of International Money and Finance, Elsevier, vol. 17(1), pages 29-39, February.
- Jorion, Philippe & Sweeney, Richard J., 1996. "Mean reversion in real exchange rates: evidence and implications for forecasting," Journal of International Money and Finance, Elsevier, vol. 15(4), pages 535-550, August.
- Cheung, Yin-Wong & Lai, Kon S, 1995. "Lag Order and Critical Values of the Augmented Dickey-Fuller Test," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(3), pages 277-280, July.
- Hakkio, Craig, 1986. "Does the exchange rate follow a random walk? A Monte Carlo study of four tests for a random walk," Journal of International Money and Finance, Elsevier, vol. 5(2), pages 221-229, June.
- Cheung, Yin-Wong & Lai, Kon S., 1998. "Parity reversion in real exchange rates during the post-Bretton Woods period," Journal of International Money and Finance, Elsevier, vol. 17(4), pages 597-614, August.
- DeJong, David N. & Whiteman, Charles H., 1991. "Reconsidering 'trends and random walks in macroeconomic time series'," Journal of Monetary Economics, Elsevier, vol. 28(2), pages 221-254, October.
- Schotman, Peter & van Dijk, Herman K., 1991. "A Bayesian analysis of the unit root in real exchange rates," Journal of Econometrics, Elsevier, vol. 49(1-2), pages 195-238.
- Culver, Sarah E. & Papell, David H., 1999. "Long-run purchasing power parity with short-run data: evidence with a null hypothesis of stationarity," Journal of International Money and Finance, Elsevier, vol. 18(5), pages 751-768, October.
- DeJong, David N, et al, 1992. "Integration versus Trend Stationarity in Time Series," Econometrica, Econometric Society, vol. 60(2), pages 423-33, March.
- Papell, David H. & Theodoridis, Hristos, 1998. "Increasing evidence of purchasing power parity over the current float," Journal of International Money and Finance, Elsevier, vol. 17(1), pages 41-50, February.
- Kenneth Rogoff, 1996. "The Purchasing Power Parity Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 647-668, June.
- Koop, Gary, 1992. "'Objective' Bayesian Unit Root Tests," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(1), pages 65-82, Jan.-Marc.
- Karlsson, Sune & Lothgren, Mickael, 2000.
"On the power and interpretation of panel unit root tests,"
Elsevier, vol. 66(3), pages 249-255, March.
- Karlsson, Sune & Löthgren, Mickael, 1999. "On the power and interpretation of panel unit root tests," SSE/EFI Working Paper Series in Economics and Finance 299, Stockholm School of Economics.
- Papell, David H., 1997. "Searching for stationarity: Purchasing power parity under the current float," Journal of International Economics, Elsevier, vol. 43(3-4), pages 313-332, November.
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