Introducing shrinkage in heavy-tailed state space models to predict equity excess returns

Author(s)
Florian Huber, Gregor Kastner, Michael Pfarrhofer
Abstract

We forecast excess returns of the S &P 500 index using a flexible Bayesian econometric state space model with non-Gaussian features at several levels. More precisely, we control for overparameterization via global–local shrinkage priors on the state innovation variances as well as the time-invariant part of the state space model. The shrinkage priors are complemented by heavy tailed state innovations that cater for potential large breaks in the latent states, even if the degree of shrinkage introduced is high. Moreover, we allow for leptokurtic stochastic volatility in the observation equation. The empirical findings indicate that several variants of the proposed approach outperform typical competitors frequently used in the literature, both in terms of point and density forecasts.

Organisation(s)
Department of Economics
External organisation(s)
Alpen-Adria-Universität Klagenfurt, Paris-Lodron Universität Salzburg
Journal
Empirical Economics: a quarterly journal of the Institute for Advanced Studies, Vienna
ISSN
0377-7332
DOI
https://doi.org/10.1007/s00181-023-02437-3
Publication date
05-2023
Peer reviewed
Yes
Austrian Fields of Science 2012
502025 Econometrics, 502051 Economic statistics
Keywords
ASJC Scopus subject areas
Economics and Econometrics, Mathematics (miscellaneous), Statistics and Probability, Social Sciences (miscellaneous)
Portal url
https://ucris.univie.ac.at/portal/en/publications/introducing-shrinkage-in-heavytailed-state-space-models-to-predict-equity-excess-returns(d1628494-aab8-4d35-b085-01435d3b26c0).html