Arbeitspapier
How far can we forecast? Statistical tests of the predictive content
Forecasts are useless whenever the forecast error variance fails to be smaller than the unconditional variance of the target variable. This paper develops tests for the null hypothesis that forecasts become uninformative beyond some limiting forecast horizon h. Following Diebold and Mariano (DM, 1995) we propose a test based on the comparison of the mean-squared error of the forecast and the sample variance. We show that the resulting test does not possess a limiting normal distribution and suggest two simple modifications of the DM-type test with different limiting null distributions. Furthermore, a forecast encompassing test is developed that tends to better control the size of the test. In our empirical analysis, we apply our tests to macroeconomic forecasts from the survey of Consensus Economics. Our results suggest that forecasts of macroeconomic key variables are barely informative beyond 2-4 quarters ahead.
- ISBN
-
978-3-95729-437-1
- Sprache
-
Englisch
- Erschienen in
-
Series: Bundesbank Discussion Paper ; No. 07/2018
- Klassifikation
-
Wirtschaft
Hypothesis Testing: General
Multiple or Simultaneous Equation Models: Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
Forecasting Models; Simulation Methods
- Thema
-
Hypothesis Testing
Predictive Accuracy
Informativeness
- Ereignis
-
Geistige Schöpfung
- (wer)
-
Breitung, Jörg
Knüppel, Malte
- Ereignis
-
Veröffentlichung
- (wer)
-
Deutsche Bundesbank
- (wo)
-
Frankfurt a. M.
- (wann)
-
2018
- Handle
- Letzte Aktualisierung
-
10.03.2025, 11:41 MEZ
Datenpartner
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Objekttyp
- Arbeitspapier
Beteiligte
- Breitung, Jörg
- Knüppel, Malte
- Deutsche Bundesbank
Entstanden
- 2018