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Introducing Weights Restrictions in Data Envelopment Analysis Models for Mutual Funds

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  • Antonella Basso

    (Department of Economics, Ca’ Foscari University of Venice, Cannaregio 873, 30121 Venice, Italy
    These authors contributed equally to this work.)

  • Stefania Funari

    (Department of Management, Ca’ Foscari University of Venice, Cannaregio 873, 30121 Venice, Italy
    These authors contributed equally to this work.)

Abstract

Data envelopment analysis has been applied in a number of papers to measure the performance of mutual funds, besides a great many applications on the more diverse fields of performance evaluation. The data envelopment analysis models proposed in the mutual funds literature do not generally set restrictions on the weights assigned to the input and output variables. In this paper, we study the effects of the introduction of different weight restrictions on the results of the performance evaluation of mutual funds. In addition, we provide a unified matrix representation for three widely used approaches on weight restrictions: virtual weight restrictions with constraints on all decision-making units (DMUs) (on all funds); virtual weight restrictions with constraints only on the target unit; assurance regions. Using the unified matrix representation of the weights constraints, we formulate the data envelopment analysis (DEA ) efficiency model and express the efficient frontier in a unified way for the different weight restrictions considered. We investigate the effects of the different weight restrictions on the performance evaluation by means of an empirical application on a set of European mutual funds. Moreover, we study the behaviour of the fund performance scores as the restrictions on the weights become increasingly strict.

Suggested Citation

  • Antonella Basso & Stefania Funari, 2018. "Introducing Weights Restrictions in Data Envelopment Analysis Models for Mutual Funds," Mathematics, MDPI, vol. 6(9), pages 1-24, September.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:9:p:164-:d:168948
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    References listed on IDEAS

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    1. Emrouznejad, Ali & Yang, Guo-liang, 2018. "A survey and analysis of the first 40 years of scholarly literature in DEA: 1978–2016," Socio-Economic Planning Sciences, Elsevier, vol. 61(C), pages 4-8.
    2. Lidia Angulo-Meza & Marcos Lins, 2002. "Review of Methods for Increasing Discrimination in Data Envelopment Analysis," Annals of Operations Research, Springer, vol. 116(1), pages 225-242, October.
    3. Basso, Antonella & Funari, Stefania, 2014. "Constant and variable returns to scale DEA models for socially responsible investment funds," European Journal of Operational Research, Elsevier, vol. 235(3), pages 775-783.
    4. Liu, John S. & Lu, Louis Y.Y. & Lu, Wen-Min & Lin, Bruce J.Y., 2013. "A survey of DEA applications," Omega, Elsevier, vol. 41(5), pages 893-902.
    5. Russell G. Thompson & F. D. Singleton & Robert M. Thrall & Barton A. Smith, 1986. "Comparative Site Evaluations for Locating a High-Energy Physics Lab in Texas," Interfaces, INFORMS, vol. 16(6), pages 35-49, December.
    6. R. Allen & A. Athanassopoulos & R.G. Dyson & E. Thanassoulis, 1997. "Weights restrictions and value judgements in Data Envelopment Analysis: Evolution, development and future directions," Annals of Operations Research, Springer, vol. 73(0), pages 13-34, October.
    7. Podinovski, Victor V. & Bouzdine-Chameeva, Tatiana, 2017. "Solving DEA models in a single optimization stage: Can the non-Archimedean infinitesimal be replaced by a small finite epsilon?," European Journal of Operational Research, Elsevier, vol. 257(2), pages 412-419.
    8. Sarrico, C. S. & Dyson, R. G., 2004. "Restricting virtual weights in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 159(1), pages 17-34, November.
    9. Antonella Basso & Stefania Funari, 2016. "DEA Performance Assessment of Mutual Funds," International Series in Operations Research & Management Science, in: Joe Zhu (ed.), Data Envelopment Analysis, chapter 0, pages 229-287, Springer.
    10. Joseph C. Paradi & H. David Sherman & Fai Keung Tam, 2018. "Data Envelopment Analysis in the Financial Services Industry," International Series in Operations Research and Management Science, Springer, number 978-3-319-69725-3, September.
    11. Charnes, A. & Cooper, W. W. & Rhodes, E., 1979. "Measuring the efficiency of decision-making units," European Journal of Operational Research, Elsevier, vol. 3(4), pages 339-338, July.
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