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Conditional variance forecasts for long-term stock returns

Mammen, E., Nielsen, J. P. ORCID: 0000-0002-2798-0817, Scholz, M. & Sperlich, S. (2019). Conditional variance forecasts for long-term stock returns. Risks, 7(4), 113. doi: 10.3390/risks7040113


In this paper, we apply machine learning to forecast the conditional variance of long-term stock returns measured in excess of different benchmarks, considering the short- and long-term interest rate, the earnings-by-price ratio, and the inflation rate. In particular, we apply in a two-step procedure a fully nonparametric local-linear smoother and choose the set of covariates as well as the smoothing parameters via cross-validation. We find that volatility forecastability is much less important at longer horizons regardless of the chosen model and that the homoscedastic historical average of the squared return prediction errors gives an adequate approximation of the unobserved realised conditional variance for both the one-year and five-year horizon.

Publication Type: Article
Additional Information: © 2019 by the authors. Licensee MDPI, Basel, Switzerland. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
Publisher Keywords: benchmark; cross-validation; prediction; stock return volatility; long-term forecasts;overlapping returns; autocorrelation
Subjects: H Social Sciences > HG Finance
Departments: Bayes Business School > Actuarial Science & Insurance
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