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

Florian Huber, Gregor Kastner and Michael Pfarrhofer
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Florian Huber: University of Salzburg

Empirical Economics, 2025, vol. 68, issue 2, No 3, 535-553

Abstract: 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.

Keywords: S $$\&~$$ & P 500; Fundamental factors; Dynamic regression; Stochastic volatility; Non-Gaussian models (search for similar items in EconPapers)
JEL-codes: C11 G12 (search for similar items in EconPapers)
Date: 2025
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Working Paper: Introducing shrinkage in heavy-tailed state space models to predict equity excess returns (2019)
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DOI: 10.1007/s00181-023-02437-3

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