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Abstract
This paper proposes forecasting joint tail risks for key macroeconomic indicators, GDP growth, inflation, and unemployment, using the US Survey of Professional Forecasters (SPF). By incorporating SPF consensus forecasts into the conditional mean of AR-GARCH-type models, the accuracy of univariate and multivariate predictive densities is significantly improved. Modeling a constant correlation matrix captures strong dependencies, particularly between GDP growth and unemployment. Using US data from 1990 to 2024, we show that the joint modeling framework enables scenario-based analysis in which predictive densities, conditioned on adverse developments in other variables, differ substantially from the baseline marginal distributions. The framework allows for a formal out-of-sample evaluation of joint predictive densities and a transparent assessment of conditional tail risks.
| Document type: | Working paper |
|---|---|
| Series Name: | Discussion Paper Series |
| Volume: | 771 |
| Place of Publication: | Heidelberg |
| Date Deposited: | 24 Apr 2026 12:00 |
| Date: | 15 April 2026 |
| Number of Pages: | 56 |
| Faculties / Institutes: | The Faculty of Economics and Social Studies > Alfred-Weber-Institut for Economics |
| DDC-classification: | 330 Economics |
| Controlled Keywords: | Growth-at-Risk, Multivariate Predictive Densities, GARCH, Tail Risk, Macroeconomic Forecasting |
| Series: | Discussion Paper Series / University of Heidelberg, Department of Economics |







