Index Tracking with Cardinality Constraints: A Stochastic Neural Networks Approach

Zheng, Y., Chen, B. , Hospedales, T. M. and Yang, Y. (2020) Index Tracking with Cardinality Constraints: A Stochastic Neural Networks Approach. In: 34th AAAI Conference on Artificial Intelligence (AAAI-20), New York, NY, USA, 07-12 Feb 2020, pp. 1242-1249. ISBN 9781577358350 (doi: 10.1609/aaai.v34i01.5478)

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Partial (replication) index tracking is a popular passive investment strategy. It aims to replicate the performance of a given index by constructing a tracking portfolio which contains some constituents of the index. The tracking error optimisation is quadratic and NP-hard when taking the L0 constraint into account so it is usually solved by heuristic methods such as evolutionary algorithms. This paper introduces a simple, efficient and scalable connectionist model as an alternative. We propose a novel reparametrisation method and then solve the optimisation problem with stochastic neural networks. The proposed approach is examined with S&P 500 index data for more than 10 years and compared with widely used index tracking approaches such as forward and backward selection and the largest market capitalisation methods. The empirical results show our model achieves excellent performance. Compared with the benchmarked models, our model has the lowest tracking error, across a range of portfolio sizes. Meanwhile it offers comparable performance to the others on secondary criteria such as volatility, Sharpe ratio and maximum drawdown.

Item Type:Conference Proceedings
Glasgow Author(s) Enlighten ID:Chen, Dr Bowei
Authors: Zheng, Y., Chen, B., Hospedales, T. M., and Yang, Y.
College/School:College of Social Sciences > Adam Smith Business School > Management
Copyright Holders:Copyright © 2020 Association for the Advancement of Artificial Intelligence
First Published:First published in Proceedings of the 34th AAAI Conference on Artificial Intelligence (AAAI-20): 1242-1249
Publisher Policy:Reproduced in accordance with the publisher copyright policy
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