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Multiperiod portfolio optimization with multiple risky assets and general transaction costs

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  • Mei, Xiaoling
  • DeMiguel, Victor
  • Nogales, Francisco J.

Abstract

We analyze the optimal portfolio policy for a multiperiod mean–variance investor facing multiple risky assets in the presence of general transaction costs. For proportional transaction costs, we give a closed-form expression for a no-trade region, shaped as a multi-dimensional parallelogram, and show how the optimal portfolio policy can be efficiently computed for many risky assets by solving a single quadratic program. For market impact costs, we show that at each period it is optimal to trade to the boundary of a state-dependent rebalancing region. Finally, we show empirically that the losses associated with ignoring transaction costs and behaving myopically may be large.

Suggested Citation

  • Mei, Xiaoling & DeMiguel, Victor & Nogales, Francisco J., 2016. "Multiperiod portfolio optimization with multiple risky assets and general transaction costs," Journal of Banking & Finance, Elsevier, vol. 69(C), pages 108-120.
    • Handle: RePEc:eee:jbfina:v:69:y:2016:i:c:p:108-120
    DOI: 10.1016/j.jbankfin.2016.04.002
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    References listed on IDEAS

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    Cited by:

    1. Zhao Zhao & Olivier Ledoit & Hui Jiang, 2019. "Risk reduction and efficiency increase in large portfolios: leverage and shrinkage," ECON - Working Papers 328, Department of Economics - University of Zurich, revised Jan 2020.
    2. Collin-Dufresne, Pierre & Daniel, Kent & Sağlam, Mehmet, 2020. "Liquidity regimes and optimal dynamic asset allocation," Journal of Financial Economics, Elsevier, vol. 136(2), pages 379-406.
    3. Jorge Guijarro-Ordonez, 2019. "High-dimensional statistical arbitrage with factor models and stochastic control," Papers 1901.09309, arXiv.org, revised Jun 2021.
    4. Ling, Aifan & Sun, Jie & Wang, Meihua, 2020. "Robust multi-period portfolio selection based on downside risk with asymmetrically distributed uncertainty set," European Journal of Operational Research, Elsevier, vol. 285(1), pages 81-95.
    5. Yao, Haixiang & Li, Danping & Wu, Huiling, 2022. "Dynamic trading with uncertain exit time and transaction costs in a general Markov market," International Review of Financial Analysis, Elsevier, vol. 84(C).
    6. Kircher, Felix & Rösch, Daniel, 2021. "A shrinkage approach for Sharpe ratio optimal portfolios with estimation risks," Journal of Banking & Finance, Elsevier, vol. 133(C).
    7. Pier Francesco Procacci & Tomaso Aste, 2022. "Portfolio optimization with sparse multivariate modeling," Journal of Asset Management, Palgrave Macmillan, vol. 23(6), pages 445-465, October.
    8. Davi Valladão & Thuener Silva & Marcus Poggi, 2019. "Time-consistent risk-constrained dynamic portfolio optimization with transactional costs and time-dependent returns," Annals of Operations Research, Springer, vol. 282(1), pages 379-405, November.
    9. Chanaka Edirisinghe & Jaehwan Jeong, 2022. "Mean–Variance Portfolio Efficiency under Leverage Aversion and Trading Impact," JRFM, MDPI, vol. 15(3), pages 1-16, February.
    10. Mei, Xiaoling & Nogales, Francisco J., 2018. "Portfolio selection with proportional transaction costs and predictability," Journal of Banking & Finance, Elsevier, vol. 94(C), pages 131-151.
    11. Lampariello, Lorenzo & Neumann, Christoph & Ricci, Jacopo M. & Sagratella, Simone & Stein, Oliver, 2021. "Equilibrium selection for multi-portfolio optimization," European Journal of Operational Research, Elsevier, vol. 295(1), pages 363-373.
    12. Peter Nystrup & Stephen Boyd & Erik Lindström & Henrik Madsen, 2019. "Multi-period portfolio selection with drawdown control," Annals of Operations Research, Springer, vol. 282(1), pages 245-271, November.
    13. Wang, Jianshen & Taylor, Nick, 2018. "A comparison of static and dynamic portfolio policies," International Review of Financial Analysis, Elsevier, vol. 55(C), pages 111-127.

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    More about this item

    Keywords

    Portfolio optimization; Multiperiod utility; No-trade region; Market impact;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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