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Review of Economic Studies Vol. 72 No. 4 2005

Estimation and Testing of Forecast Rationality under Flexible Loss

Graham Elliott1; Ivana Komunjer2; Allan Timmermann1

1 Universidad Católica Santo Domingo · 2 California Institute of Technology

Abstract

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.

DOI
10.1111/0034-6527.00363
Volume
72
Issue
4
Pages
1107-1125
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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