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Robust and adaptive algorithms for online portfolio selection

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  • Theodoros Tsagaris
  • Ajay Jasra
  • Niall Adams

Abstract

We present an online approach to portfolio selection. The motivation is within the context of algorithmic trading, which demands fast and recursive updates of portfolio allocations as new data arrives. In particular, we look at two online algorithms: Robust-Exponentially Weighted Least Squares (R-EWRLS) and a regularized Online minimum Variance algorithm (O-VAR). Our methods use simple ideas from signal processing and statistics, which are sometimes overlooked in the empirical financial literature. The two approaches are evaluated against benchmark allocation techniques using four real data sets. Our methods outperform the benchmark allocation techniques in these data sets in terms of both computational demand and financial performance.

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  • Theodoros Tsagaris & Ajay Jasra & Niall Adams, 2012. "Robust and adaptive algorithms for online portfolio selection," Quantitative Finance, Taylor & Francis Journals, vol. 12(11), pages 1651-1662, November.
    • Handle: RePEc:taf:quantf:v:12:y:2012:i:11:p:1651-1662
    DOI: 10.1080/14697688.2012.691175
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    1. Ledoit, Olivier & Wolf, Michael, 2015. "Spectrum estimation: A unified framework for covariance matrix estimation and PCA in large dimensions," Journal of Multivariate Analysis, Elsevier, vol. 139(C), pages 360-384.

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