Out-of-Sample Predictability of the Equity Risk Premium

A large set of macroeconomic variables have been suggested as equity risk premium predictors in the literature. Acknowledging the different predictability of the equity premium in expansions and recessions, this paper proposes an approach that combines equity premium forecasts from two-state regress...

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Main Authors: Daniel de Almeida, Ana-Maria Fuertes, Luiz Koodi Hotta
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/13/2/257
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author Daniel de Almeida
Ana-Maria Fuertes
Luiz Koodi Hotta
author_facet Daniel de Almeida
Ana-Maria Fuertes
Luiz Koodi Hotta
author_sort Daniel de Almeida
collection DOAJ
description A large set of macroeconomic variables have been suggested as equity risk premium predictors in the literature. Acknowledging the different predictability of the equity premium in expansions and recessions, this paper proposes an approach that combines equity premium forecasts from two-state regression models using an agreement technical indicator as the observable state variable. A comprehensive out-of-sample forecast evaluation exercise based on statistical and economic loss functions demonstrates the superiority of the proposed approach versus combined forecasts from linear models or Markov switching models and forecasts from machine learning methods such as random forests and gradient boosting. The parsimonious state-dependent aspect of risk premium forecasts delivers large improvements in forecast accuracy. The results are robust to sub-period analyses and different investors’ risk aversion levels.
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spelling doaj-art-838309e425714c8bbd549359d1bc4c622025-01-24T13:39:55ZengMDPI AGMathematics2227-73902025-01-0113225710.3390/math13020257Out-of-Sample Predictability of the Equity Risk PremiumDaniel de Almeida0Ana-Maria Fuertes1Luiz Koodi Hotta2Department of Statistics, Universidad Carlos III de Madrid, 28903 Getafe, SpainBayes Business School, City University of London, London EC1Y 8TZ, UKDepartment of Statistics, Universidade Estadual de Campinas (UNICAMP), Campinas 13083-859, BrazilA large set of macroeconomic variables have been suggested as equity risk premium predictors in the literature. Acknowledging the different predictability of the equity premium in expansions and recessions, this paper proposes an approach that combines equity premium forecasts from two-state regression models using an agreement technical indicator as the observable state variable. A comprehensive out-of-sample forecast evaluation exercise based on statistical and economic loss functions demonstrates the superiority of the proposed approach versus combined forecasts from linear models or Markov switching models and forecasts from machine learning methods such as random forests and gradient boosting. The parsimonious state-dependent aspect of risk premium forecasts delivers large improvements in forecast accuracy. The results are robust to sub-period analyses and different investors’ risk aversion levels.https://www.mdpi.com/2227-7390/13/2/257business cyclesforecast combinationtechnical indicatorsgradient boostingrandom forest
spellingShingle Daniel de Almeida
Ana-Maria Fuertes
Luiz Koodi Hotta
Out-of-Sample Predictability of the Equity Risk Premium
Mathematics
business cycles
forecast combination
technical indicators
gradient boosting
random forest
title Out-of-Sample Predictability of the Equity Risk Premium
title_full Out-of-Sample Predictability of the Equity Risk Premium
title_fullStr Out-of-Sample Predictability of the Equity Risk Premium
title_full_unstemmed Out-of-Sample Predictability of the Equity Risk Premium
title_short Out-of-Sample Predictability of the Equity Risk Premium
title_sort out of sample predictability of the equity risk premium
topic business cycles
forecast combination
technical indicators
gradient boosting
random forest
url https://www.mdpi.com/2227-7390/13/2/257
work_keys_str_mv AT danieldealmeida outofsamplepredictabilityoftheequityriskpremium
AT anamariafuertes outofsamplepredictabilityoftheequityriskpremium
AT luizkoodihotta outofsamplepredictabilityoftheequityriskpremium