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Enhanced index tracking optimal portfolio selection

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  • de Paulo, Wanderlei Lima
  • de Oliveira, Estela Mara
  • do Valle Costa, Oswaldo Luiz

Abstract

In this paper we present an analytical solution for an uni-period enhanced index tracking problem with limited number of assets held in the tracking portfolio. We consider an approach in which the tracking portfolio is composed of a given subset of assets, and the value function is written as the trade-off between the tracking error and excess return, balanced by an appropriate choice of a risk aversion parameter. This formulation allows an analytical comparison of the betas and value functions of the optimal portfolios with and without tracking. Our approach provides readily implementable formulae, being consequently easier for numerical implementation.

Suggested Citation

  • de Paulo, Wanderlei Lima & de Oliveira, Estela Mara & do Valle Costa, Oswaldo Luiz, 2016. "Enhanced index tracking optimal portfolio selection," Finance Research Letters, Elsevier, vol. 16(C), pages 93-102.
    • Handle: RePEc:eee:finlet:v:16:y:2016:i:c:p:93-102
    DOI: 10.1016/j.frl.2015.10.005
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    References listed on IDEAS

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    Cited by:

    1. Dimitris Andriosopoulos & Michalis Doumpos & Panos M. Pardalos & Constantin Zopounidis, 2019. "Computational approaches and data analytics in financial services: A literature review," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 70(10), pages 1581-1599, October.
    2. Cesarone, Francesco & Lampariello, Lorenzo & Sagratella, Simone, 2019. "A risk-gain dominance maximization approach to enhanced index tracking," Finance Research Letters, Elsevier, vol. 29(C), pages 231-238.
    3. Gian Paolo Clemente & Rosanna Grassi & Asmerilda Hitaj, 2022. "Smart network based portfolios," Annals of Operations Research, Springer, vol. 316(2), pages 1519-1541, September.
    4. Yang, Jen-Wei, 2024. "Benchmark-based strategy for minimizing Riskiness," Finance Research Letters, Elsevier, vol. 60(C).
    5. Spiridon Penev & Pavel Shevchenko & Wei Wu, 2019. "Myopic robust index tracking with Bregman divergence," Papers 1908.07659, arXiv.org, revised Jul 2021.
    6. Ruchika Sehgal & Aparna Mehra, 2023. "Quantile Regression Based Enhanced Indexing with Portfolio Rebalancing," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 21(3), pages 721-742, September.
    7. Ruchika Sehgal & Aparna Mehra, 2019. "Enhanced indexing using weighted conditional value at risk," Annals of Operations Research, Springer, vol. 280(1), pages 211-240, September.
    8. Patrizia Beraldi & Maria Elena Bruni, 2022. "Enhanced indexation via chance constraints," Operational Research, Springer, vol. 22(2), pages 1553-1573, April.
    9. Erdemlioglu, Deniz & Joliet, Robert, 2019. "Long-term asset allocation, risk tolerance and market sentiment," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 62(C), pages 1-19.
    10. Yang, Tingting & Huang, Xiaoxia, 2022. "Two new mean–variance enhanced index tracking models based on uncertainty theory," The North American Journal of Economics and Finance, Elsevier, vol. 59(C).
    11. Gabriele Torri & Rosella Giacometti & Sandra Paterlini, 2024. "Penalized enhanced portfolio replication with asymmetric deviation measures," Annals of Operations Research, Springer, vol. 332(1), pages 481-531, January.

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    More about this item

    Keywords

    Index tracking; Enhanced index tracking; Portfolio selection;
    All these keywords.

    JEL classification:

    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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