A procedure for upgrading linear-convex combination forecasts with an application to volatility predictionOpen Access

Monschang Verena, Wilfling Bernd

Working paper

Abstract

We investigate mean-squared-forecast-error (MSE) accuracy improvements for linear-convex combination forecasts, whose components are pretreated by a procedure called 'Vector Autoregressive Forecast Error Modeling' (VAFEM). Assuming that the forecast-error series of the individual forecasts are governed by a stable VAR process under classic conditions, we obtain the following results: (i) VAFEM treatment bias-corrects all individual and linear-convex combination forecasts. (ii) Any VAFEM-treated combination has smaller theoretical MSE than its untreated analogue, if the VAR parameters are known. (iii) In empirical applications, VAFEM gains depend on (1) in-sample sizes, (2) out-of-sample forecast horizons, (3) the biasedness of the untreated forecast combination. We demonstrate the VAFEM capacity for realized-volatility forecasting, using S&P 500 data.

Details about the publication

Place of publicationUniversity of Muenster
Title of seriesCQE-Working-Papers
Volume of series97/2022
StatusPublished
Release year2022 (22/03/2022)
Language in which the publication is writtenEnglish
KeywordsCombination forecasts; mean-squared-error loss; VAR forecast-error modeling; multivariate least squares estimation

Authors from the University of Münster

Monschang, Verena
Chair of Empirical Economics
Wilfling, Bernd
Professur für Volkswirtschaftslehre, empirische Wirtschaftsforschung (Prof. Wilfling)

Promotionen, aus denen die Publikation resultiert

Contributions to Forecasting and Hypothesis Testing with Application to Financial-Market Data
Candidate: Monschang, Verena | Supervisors: Wilfling, Bernd; Trede, Mark | Reviewers: Trede, Mark; Wilfling, Bernd
Period of time: 01/04/2017 - 01/07/2022
Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster