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

Bibliographic Data

ID21541709
AuthorsFlorian Huber (0000-0002-2896-7921, University of Salzburg), Gregor Kastner (0000-0002-8237-8271, Vienna University of Economics and Business, corresponding author), Michael Pfarrhofer (0000-0002-0168-688X, Vienna University of Economics and Business)
Year2025
Volume68
Issue2
Pages535-553
Publication date2025-02-01
Open AccessYes
TypeARTICLE
VenueEmpirical Economics (JOURNAL)
Journal identifiersISSN: 0377-7332 • E-ISSN: 1435-8921
PublisherSpringer Science and Business Media LLC (PUBLISHER)
DOI10.1007/s00181-023-02437-3
PMID39917048
OpenAlexW2807045125
LanguageEN
References cited51

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

Bayesian inference · Bayesian probability · Econometrics · Gaussian · Kurtosis · Physics · Prior probability · Shrinkage · Statistics · Stochastic volatility · Complex Systems and Time Series Analysis · Financial Risk and Volatility Modeling · Mathematics · Monetary Policy and Economic Impact

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