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Forecasting High-Dimensional Portfolios

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  • Mattera Raffaele

    (Department of Mathematics and Physics, University of Campania “Luigi Vanvitelli”, Caserta, Italy)

Abstract

In this paper, we investigate the usefulness of forecasting in a high-dimensional framework where the number of assets is larger than the temporal observations. The benefit of forecasting lies in the concept of timing, which means anticipating future market conditions. We find that when high-dimensional econometric approaches are used, forecasting either the mean or the covariance is better than predicting both and then approaches based on static estimates. Moreover, we find that timing portfolios also perform better than the naive strategy. Considering the portfolio returns over time, we find that a possible explanation for the better performance of volatility-timing portfolios is that they better manage risk during periods of high uncertainty.

Suggested Citation

  • Mattera Raffaele, 2025. "Forecasting High-Dimensional Portfolios," Journal of Time Series Econometrics, De Gruyter, vol. 17(1), pages 35-67.
  • Handle: RePEc:bpj:jtsmet:v:17:y:2025:i:1:p:35-67:n:1001
    DOI: 10.1515/jtse-2023-0011
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    Keywords

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    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C45 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Neural Networks and Related Topics
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G17 - Financial Economics - - General Financial Markets - - - Financial Forecasting and Simulation

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