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Mean-Reverting Portfolio Design via Majorization-Minimization Method

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  • Ziping Zhao
  • Daniel P. Palomar

Abstract

This paper considers the mean-reverting portfolio design problem arising from statistical arbitrage in the financial markets. The problem is formulated by optimizing a criterion characterizing the mean-reversion strength of the portfolio and taking into consideration the variance of the portfolio and an investment budget constraint at the same time. An efficient algorithm based on the majorization-minimization (MM) method is proposed to solve the problem. Numerical results show that our proposed mean-reverting portfolio design method can significantly outperform every underlying single spread and the benchmark method in the literature.

Suggested Citation

  • Ziping Zhao & Daniel P. Palomar, 2016. "Mean-Reverting Portfolio Design via Majorization-Minimization Method," Papers 1611.08393, arXiv.org.
    • Handle: RePEc:arx:papers:1611.08393
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    File URL: http://arxiv.org/pdf/1611.08393
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    References listed on IDEAS

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    1. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
    2. Johansen, Soren, 2000. "Modelling of cointegration in the vector autoregressive model," Economic Modelling, Elsevier, vol. 17(3), pages 359-373, August.
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    Cited by:

    1. Ziping Zhao & Rui Zhou & Zhongju Wang & Daniel P. Palomar, 2018. "Optimal Portfolio Design for Statistical Arbitrage in Finance," Papers 1803.02974, arXiv.org.
    2. Philippe Goulet Coulombe & Maximilian Goebel, 2023. "Maximally Machine-Learnable Portfolios," Papers 2306.05568, arXiv.org, revised Apr 2024.
    3. Ziping Zhao & Daniel P. Palomar, 2017. "Mean-Reverting Portfolio Design with Budget Constraint," Papers 1701.05016, arXiv.org.
    4. Philippe Goulet Coulombe & Maximilian Gobel, 2023. "Maximally Machine-Learnable Portfolios," Working Papers 23-01, Chair in macroeconomics and forecasting, University of Quebec in Montreal's School of Management, revised Apr 2023.

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