Journal Article

Estimation and Testing of Forecast Rationality under Flexible Loss

Graham Elliott, Allan Timmermann and Ivana Komunjer

in The Review of Economic Studies

Published on behalf of Review of Economic Studies Ltd

Volume 72, issue 4, pages 1107-1125
Published in print October 2005 | ISSN: 0034-6527
Published online October 2005 | e-ISSN: 1467-937X | DOI:
Estimation and Testing of Forecast Rationality under Flexible Loss

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In situations where a sequence of forecasts is observed, a common strategy is to examine “rationality” conditional on a given loss function. We examine this from a different perspective—supposing that we have a family of loss functions indexed by unknown shape parameters, then given the forecasts can we back out the loss function parameters consistent with the forecasts being rational even when we do not observe the underlying forecasting model? We establish identification of the parameters of a general class of loss functions that nest popular loss functions as special cases and provide estimation methods and asymptotic distributional results for these parameters. This allows us to construct new tests of forecast rationality that allow for asymmetric loss. The methods are applied in an empirical analysis of IMF and OECD forecasts of budget deficits for the G7 countries. We find that allowing for asymmetric loss can significantly change the outcome of empirical tests of forecast rationality.

Keywords: C53

Journal Article.  9537 words.  Illustrated.

Subjects: Econometric Modelling

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