Cointegration tests of purchasing power parity

Wallace, Frederick (2009): Cointegration tests of purchasing power parity.

Abstract

In recent work Im, Lee, and Enders (2006) use stationary instrumental variables to test for cointegrating relationships. The advantage of their approach is that the t-statistics are asymptotically standard normal and the familiar critical values of the normal distribution may be used to assess significance. Thus, the test avoids the nuisance parameter problem in single equation regressions for cointegration. Using an updated version of the data set developed by Taylor (2002), the ILE test is compared to three single equation alternatives in testing for purchasing power parity: An error correction model, autoregressive distributed lag model, and the Engle-Granger two step procedure. The regressions with instruments provide evidence supportive of PPP for some countries but the empirical results differ across tests and the choice of instrument can affect the results.

• Item Type: MPRA Paper
• Language: English
• Keywords: Cointegration; purchasing power parity
• Subjects: C - Mathematical and Quantitative Methods > C2 - Single Equation Models ; Single Variables > C20 - General; F - International Economics > F3 - International Finance > F31 - Foreign Exchange

References

Banerjee, A; J.J. Dolado; and R. Mestre, 1998. Error-correction mechanism for cointegration in a single-equation framework, Journal of Time Series Analysis 19, 268-283.

Elliott, G., T. Rothenberg, and J.H. Stock, 1996. Efficient tests for an autoregressive unit root, Econometrica 64, 813-836.

Enders, W.; J. Lee; and M.C. Strazicich, 2007. New threshold cointegration tests and the Taylor rule. Unpublished working paper.

Enders, W. Applied Econometric Time Series, 2nd edition, John Wiley & Sons, Hoboken, NJ, 2004.

Ericsson, N.R. and J.G. MacKinnon, 2002. Distributions of error corrections tests for cointegration, Econometrics Journal 5, 285-318. Computer program available at http://www.econ.queensu.ca/faculty/mackinnon/.

Im, K.S; J. Lee; and W. Enders, 2006. Cointegration tests using instrumental variables with an example of the U.K. demand for money. Unpublished working paper.

Kwiatkowski, D.; P.C.B Phillips; P. Schmidt; and Y. Shin, 1992. Testing the null hypothesis of stationarity against the alternative of a unit-root, Journal of Econometrics 54, 159-178.

Lopez, C.; C.J. Murray; and D.H. Papell, 2005. State of the art unit root tests and purchasing power parity, Journal of Money, Credit, and Banking, 37 (April) (2) 361-369.

Pesavento, E., 2007. Residuals based tests for the null of no cointegration: An analytical comparison, Journal of Time Series Analysis, 28 (January) (1) 111-137.

Pesavento, E., 2004. An analytical evaluation of the power of tests for the absence of cointegration, Journal of Econometrics, 122 (October) (2) 349-384.

Rogoff, K., 1996. The purchasing power parity puzzle. Journal of Economic Literature 34, 647-668.

Sarno, L. and M.P. Taylor, 2002. The Economics of Exchange Rates. Cambridge University Press, Cambridge.

Taylor, A. T., 2002. A century of purchasing-power parity. Review of Economics and Statistics 84, 139-150.

Taylor, A. T. and Taylor M. P., 2004. The purchasing power parity debate. Journal of Economic Perspectives 18, 135-158.

Wallace, F. H. and G. L. Shelley, 2006. An alternative test of purchasing power parity, Economics Letters, 92 (August) (2) 177-183.