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A new stochastic dominance approach to enhanced index tracking problems

Author

Listed:
  • Renato Bruni

    (Università di Roma “Sapienza” Dip. di Ingegneria Informatica, Automatica e Gestionale)

  • Francesco Cesarone

    (Università degli Studi Roma Tre Dipartimento di Economia)

  • Andrea Scozzari

    (Università degli Studi “Niccolò Cusano” - Telematica, Roma Facoltà di Economia)

  • Fabio Tardella

    (Università di Roma “Sapienza” Dip. Metodi e Modelli per l''Economia, il Territorio e la Finanza)

Abstract

Enhanced Index Tracking is the problem of selecting a portfolio that should generate excess return with respect to a benchmark index. Here we propose a large-size linear optimization model for Enhanced Index Tracking that selects an optimal portfolio according to a new stochastic dominance criterion and we devise an efficient constraint generation technique to solve such a model. We then compare, on several well-known and publicly available financial data sets, the performances of the portfolios selected by our model to those of the portfolios obtained with other stochastic dominance approaches. The results seem to confirm the practical usefulness of stochastic dominance for portfolio selection.

Suggested Citation

  • Renato Bruni & Francesco Cesarone & Andrea Scozzari & Fabio Tardella, 2012. "A new stochastic dominance approach to enhanced index tracking problems," Economics Bulletin, AccessEcon, vol. 32(4), pages 3460-3470.
    • Handle: RePEc:ebl:ecbull:eb-12-00706
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    References listed on IDEAS

    as
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    3. Andrea Scozzari & Fabio Tardella & Sandra Paterlini & Thiemo Krink, 2013. "Exact and heuristic approaches for the index tracking problem with UCITS constraints," Annals of Operations Research, Springer, vol. 205(1), pages 235-250, May.
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    7. repec:ebl:ecbull:v:7:y:2005:i:7:p:1-7 is not listed on IDEAS
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    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Vrinda Dhingra & Amita Sharma & Shiv K. Gupta, 2021. "Sectoral portfolio optimization by judicious selection of financial ratios via PCA," Papers 2106.11484, arXiv.org, revised Jan 2023.
    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. Amita Sharma & Aparna Mehra, 2017. "Financial analysis based sectoral portfolio optimization under second order stochastic dominance," Annals of Operations Research, Springer, vol. 256(1), pages 171-197, September.
    4. Francesco Cesarone & Jacopo Moretti & Fabio Tardella, 2016. "Optimally chosen small portfolios are better than large ones," Economics Bulletin, AccessEcon, vol. 36(4), pages 1876-1891.
    5. Renato Bruni & Francesco Cesarone & Andrea Scozzari & Fabio Tardella, 2013. "No arbitrage and a linear portfolio selection model," Economics Bulletin, AccessEcon, vol. 33(2), pages 1247-1258.
    6. Francesco Cesarone & Raffaello Cesetti & Giuseppe Orlando & Manuel Luis Martino & Jacopo Maria Ricci, 2022. "Comparing SSD-Efficient Portfolios with a Skewed Reference Distribution," Mathematics, MDPI, vol. 11(1), pages 1-20, December.
    7. Kouaissah, Noureddine, 2021. "Using multivariate stochastic dominance to enhance portfolio selection and warn of financial crises," The Quarterly Review of Economics and Finance, Elsevier, vol. 80(C), pages 480-493.
    8. Cristiano Arbex Valle & John E Beasley & Nigel Meade, 2024. "Subset second-order stochastic dominance for enhanced indexation with diversification enforced by sector constraints," Papers 2404.16777, arXiv.org, revised Nov 2024.
    9. Bruni, Renato & Cesarone, Francesco & Scozzari, Andrea & Tardella, Fabio, 2017. "On exact and approximate stochastic dominance strategies for portfolio selection," European Journal of Operational Research, Elsevier, vol. 259(1), pages 322-329.
    10. Francesco Cesarone & Justo Puerto, 2024. "New approximate stochastic dominance approaches for Enhanced Indexation models," Papers 2401.12669, arXiv.org.
    11. Noureddine Kouaissah & Sergio Ortobelli lozza, 2020. "Multivariate Stochastic Dominance: A Parametric Approach," Economics Bulletin, AccessEcon, vol. 40(2), pages 1380-1387.
    12. Gianfranco Guastaroba & Renata Mansini & Wlodzimierz Ogryczak & M. Grazia Speranza, 2020. "Enhanced index tracking with CVaR-based ratio measures," Annals of Operations Research, Springer, vol. 292(2), pages 883-931, September.
    13. Francesco Cesarone & Andrea Scozzari & Fabio Tardella, 2015. "Linear vs. quadratic portfolio selection models with hard real-world constraints," Computational Management Science, Springer, vol. 12(3), pages 345-370, July.

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    More about this item

    Keywords

    Enhanced Index Tracking; Portfolio Selection; Stochastic Dominance; Constraint Generation;
    All these keywords.

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • G1 - Financial Economics - - General Financial Markets

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