Abstract
In this study, we examined the “short-term Mean Reverting Phenomenon” from two aspects. First, we clarified that excess return can be obtained by using the short-term Mean Reverting Phenomenon for the On-Line Moving Average Reversion (OLMAR) method, which is a portfolio selection algorithm and reportedly exhibits high performance. Then, we examined why the method was able to maintain superiority over the long term. In addition, we proposed an evaluation index of the short-term Mean Reverting Phenomenon present in the stock price dataset and analyzed it. The OLMAR method proved that excessive return was obtained by using the characteristic property showing the mean reverting tendency, which can be selected by the moving average divergence rate. Then, we confirmed that the advantage of the OLMAR method disappears by invalidating the above property existing in the stock price dataset. In addition, we proposed an evaluation index of the Mean Reverting and analyzed the stock price dataset using it.
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Appendices
Appendix 1 Algorithm 1: MAD-MRC and Return Curve Algorithm
Appendix 2 Algorithm 2: OLMAR_Random Method
The OLMAR_random method, once simulated by the OLMAR method, extracts the composition weight of the portfolio and randomly replaces the selected stocks. In addition, a sequence of weights greater than 0 is recognized as one chunk and is copied to new randomly selected stock_id. The OLMAR_random method generates a portfolio based on the new weight data generated by Algorithm 2.
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Umino, K., Kikuchi, T., Kunigami, M., Yamada, T., Terano, T. (2018). Detecting Short-Term Mean Reverting Phenomenon in the Stock Market and OLMAR Method. In: Arai, S., Kojima, K., Mineshima, K., Bekki, D., Satoh, K., Ohta, Y. (eds) New Frontiers in Artificial Intelligence. JSAI-isAI 2017. Lecture Notes in Computer Science(), vol 10838. Springer, Cham. https://doi.org/10.1007/978-3-319-93794-6_10
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DOI: https://doi.org/10.1007/978-3-319-93794-6_10
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