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Active or passive portfolio: A tracking error analysis under uncertainty theory

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  • Yang, Tingting
  • Huang, Xiaoxia

Abstract

The active and passive portfolio managements are two different investment strategies in the industry and there is always a debate on which strategy to adopt. This paper tells investors how to choose strategies according to their risk attitude to well manage their portfolios under uncertainty theory where returns of stocks are estimated by experts and treated as uncertain variables. First, an uncertain tracking error constrained (UTEC) model is proposed to actively manage portfolios and its analytical solution is provided. As an improvement of UTEC model, this paper adds a new constraint and puts forward a new UTEC model. Then to help investors perceive how to choose between the active and passive portfolios, this paper defines a performance value which uses portfolios’ expected value, standard deviation and investors’ risk attitude to score the portfolios. Results of analysis show that investors’ risk attitude affects investors’ choice of active or passive portfolio. Moreover, the risk attitude also affects the choice of UTEC portfolio or the new UTEC portfolio. Finally, this paper illustrates these researches with numerical examples.

Suggested Citation

  • Yang, Tingting & Huang, Xiaoxia, 2022. "Active or passive portfolio: A tracking error analysis under uncertainty theory," International Review of Economics & Finance, Elsevier, vol. 80(C), pages 309-326.
  • Handle: RePEc:eee:reveco:v:80:y:2022:i:c:p:309-326
    DOI: 10.1016/j.iref.2022.02.043
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    References listed on IDEAS

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    Cited by:

    1. Huang, Xiaoxia & Ma, Di & Choe, Kwang-Il, 2023. "Uncertain mean–variance portfolio model with inflation taking linear uncertainty distributions," International Review of Economics & Finance, Elsevier, vol. 87(C), pages 203-217.
    2. Kaiwen Hou, 2023. "Adaptive Bayesian Learning with Action and State-Dependent Signal Variance," Papers 2311.12878, arXiv.org, revised Nov 2023.
    3. Weiwei Guo & Wei-Guo Zhang & Zaiwu Gong, 2024. "Modeling of linear uncertain portfolio selection with uncertain constraint and risk index," Fuzzy Optimization and Decision Making, Springer, vol. 23(3), pages 469-496, September.

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    More about this item

    Keywords

    Portfolio selection; Tracking error; Uncertainty theory; Risk attitude;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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