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Portfolio selection problem with liquidity constraints under non-extensive statistical mechanics

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  • Zhao, Pan
  • Xiao, Qingxian

Abstract

In this study, we consider the optimal portfolio selection problem with liquidity limits. A portfolio selection model is proposed in which the risky asset price is driven by the process based on non-extensive statistical mechanics instead of the classic Wiener process. Using dynamic programming and Lagrange multiplier methods, we obtain the optimal policy and value function. Moreover, the numerical results indicate that this model is considerably different from the model based on the classic Wiener process, the optimal strategy is affected by the non-extensive parameter q, the increase in the investment in the risky asset is faster at a larger parameter q and the increase in wealth is similar.

Suggested Citation

  • Zhao, Pan & Xiao, Qingxian, 2016. "Portfolio selection problem with liquidity constraints under non-extensive statistical mechanics," Chaos, Solitons & Fractals, Elsevier, vol. 82(C), pages 5-10.
    • Handle: RePEc:eee:chsofr:v:82:y:2016:i:c:p:5-10
    DOI: 10.1016/j.chaos.2015.10.026
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    Cited by:

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    3. Ruili Sun & Tiefeng Ma & Shuangzhe Liu & Milind Sathye, 2019. "Improved Covariance Matrix Estimation for Portfolio Risk Measurement: A Review," JRFM, MDPI, vol. 12(1), pages 1-34, March.
    4. Balbás, Alejandro & Garrido, José & Okhrati, Ramin, 2016. "Good deal measurement in asset pricing: Actuarial and financial implications," INDEM - Working Paper Business Economic Series 23546, Instituto para el Desarrollo Empresarial (INDEM).
    5. Balbás, Alejandro & Balbás, Beatriz & Balbás, Raquel, 2018. "Golden options in financial mathematics," INDEM - Working Paper Business Economic Series 27672, Instituto para el Desarrollo Empresarial (INDEM).
    6. Balbás, Alejandro & Balbás, Beatriz & Balbás, Raquel, 2017. "Differential equations connecting VaR and CVaR," INDEM - Working Paper Business Economic Series 24017, Instituto para el Desarrollo Empresarial (INDEM).
    7. Balbás, Alejandro & Balbás, Beatriz & Balbás, Raquel, 2016. "Coherent Pricing," INDEM - Working Paper Business Economic Series 22932, Instituto para el Desarrollo Empresarial (INDEM).
    8. Balbás, Alejandro & Balbás, Beatriz & Balbás, Raquel, 2016. "VaR as the CVaR sensitivity : applications in risk optimization," INDEM - Working Paper Business Economic Series id-16-01, Instituto para el Desarrollo Empresarial (INDEM).

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