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Forecasting Levels of log Variables in Vector Autoregressions

Gunnar Bårdsen and Helmut Lütkepohl

Working Paper Series from Department of Economics, Norwegian University of Science and Technology

Abstract: Sometimes forecasts of the original variable are of interest al- though a variable appears in logarithms (logs) in a system of time series. In that case converting the forecast for the log of the variable to a naive forecast of the original variable by simply applying the exponential transformation is not optimal theoretically. A simple expression for the optimal forecast un- der normality assumptions is derived. Despite its theoretical advantages the optimal forecast is shown to be inferior to the naive forecast if speci¯cation and estimation uncertainty are taken into account. Hence, in practice using the exponential of the log forecast is preferable to using the optimal forecast.

Pages: 17 pages
Date: 2009-06-16
New Economics Papers: this item is included in nep-ecm, nep-ets and nep-for
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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http://www.svt.ntnu.no/iso/WP/2009/7_logVAR1.pdf (application/pdf)

Related works:
Journal Article: Forecasting levels of log variables in vector autoregressions (2011) Downloads
Working Paper: Forecasting Levels of log Variables in Vector Autoregressions (2009) Downloads
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