Testing the Nominal-to-Real Transformation
AbstractNominal-to-real data transformations are routinely used in empirical work. A common example is the transformation of nominal money and prices to real money and the rate of inflation. This paper establishes the necessary and sufficient condition for a transformation to reduce the order of integration of an I(2) vector process while retaining the cointegrating relations among the variables. A particular direction in which the condition potentially fails is often treated by assumption in applied work. In this case, the transformed process satisfies a well-specified vector equilibrium model, yet I(1) inference and interpretation based on the real transformed system is invalidated. An easy-to-implement sequential test of the transformation based on I(1) cointegration methods is suggested. It demonstrates good size and power properties in a small-scale simulation experiment. An empirical example illustrates the need to test the nominal-to-real transformation.
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Bibliographic InfoPaper provided by University of Copenhagen. Department of Economics in its series Discussion Papers with number 02-06.
Length: 26 pages
Date of creation: Mar 2002
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cointegration; stochastic trend; I(2); price homogeneity; Monto Carlo experiment;
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- Omtzigt, Pieter & Paruolo, Paolo, 2005.
Journal of Econometrics,
Elsevier, vol. 128(1), pages 31-68, September.
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