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Adaptive online portfolio strategy based on exponential gradient updates

Author

Listed:
  • Yong Zhang

    (Guangdong University of Technology)

  • Hong Lin

    (Guangdong University of Technology)

  • Lina Zheng

    (Guangdong University of Technology)

  • Xingyu Yang

    (Guangdong University of Technology)

Abstract

Based on the momentum principle and adaptive learning mechanism, we design online portfolio selection strategies, which are suitable for nonstationary financial market. Firstly, we propose a Moving-window-based Adaptive Exponential Gradient (MAEG) strategy, which updates the learning rate of the EG algorithm by maximizing the recent cumulative return using the price data in a fixed length moving window. Secondly, we consider a special case where all-historical price data is used to design another strategy named Adaptive Exponential Gradient (AEG). Finally, we conduct an extensive numerical analysis using real price data and the empirical results show that the performance of the proposed strategies is steadily superior to some online strategies. In addition, MAEG and AEG are able to withstand certain transaction costs, which further supports their practical applicability in trading applications.

Suggested Citation

  • Yong Zhang & Hong Lin & Lina Zheng & Xingyu Yang, 2022. "Adaptive online portfolio strategy based on exponential gradient updates," Journal of Combinatorial Optimization, Springer, vol. 43(3), pages 672-696, April.
    • Handle: RePEc:spr:jcomop:v:43:y:2022:i:3:d:10.1007_s10878-021-00800-7
    DOI: 10.1007/s10878-021-00800-7
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    Cited by:

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    2. Jin’an He & Fangping Peng & Xiuying Xie, 2024. "Risk-adjusted exponential gradient strategies for online portfolio selection," Journal of Combinatorial Optimization, Springer, vol. 48(1), pages 1-25, August.
    3. Yong Zhang & Jiahao Li & Xingyu Yang & Jianliang Zhang, 2024. "Competitive Online Strategy Based on Improved Exponential Gradient Expert and Aggregating Method," Computational Economics, Springer;Society for Computational Economics, vol. 64(2), pages 789-814, August.

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