Title: Adaptive online successive constant rebalanced portfolio based on moving window

Authors: Jin'an He; Xingyu Yang; Hong Lin; Yong Zhang

Addresses: School of Management, Guangdong University of Technology, Guangzhou, Guangdong, China ' School of Management, Guangdong University of Technology, Guangzhou, Guangdong, China ' School of Management, Guangdong University of Technology, Guangzhou, Guangdong, China ' School of Management, Guangdong University of Technology, Guangzhou, Guangdong, China

Abstract: In the non-stationary financial market, considering that earlier observations may have little or no relevance to the current investment decision making, we design two kinds of adaptive online portfolio strategies only based on recent historical data. Firstly, we design an adaptive online portfolio strategy by linearly combining the last portfolio and the best constant rebalanced portfolio corresponding to the recent historical data, which we call moving window. We determine the length of the moving window by adaptive learning. More precisely, we consider the strategies that always adopt the best constant rebalanced portfolio corresponding to the moving window of different fixed lengths as different experts, and at the beginning of the current period, we choose the length of moving window the same as the expert achieving maximum current cumulative return. Furthermore, we determine the length of moving window by only using the recent historical data to adaptively learn, and design another adaptive online portfolio strategy. We present numerical analysis by using real stock data from the US and Chinese markets, and the results illustrate that our strategies perform well, compared with some benchmark strategies and existing online portfolio strategies.

Keywords: online portfolio selection; investment strategy; moving window; adaptive algorithm.

DOI: 10.1504/IJISE.2020.104316

International Journal of Industrial and Systems Engineering, 2020 Vol.34 No.1, pp.107 - 123

Received: 23 Jan 2018
Accepted: 25 Apr 2018
Published online: 03 Jan 2020 *

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