IDEAS home Printed from https://ideas.repec.org/a/wly/mgtdec/v46y2025i3p1645-1660.html
   My bibliography  Save this article

Efficiency Assessment of Mutual Fund With Risk and Negative Data: An Improved Two‐Stage Network SBM Model

Author

Listed:
  • Xiao Shi
  • Zhuo Pei
  • Xinle Liu

Abstract

This paper innovatively proposes an improved two‐stage network SBM model, which could handle negative data and incorporates the CVaR indicator representing risks in efficiency evaluation. The proposed approach is utilized to evaluate and analyze the overall efficiency and two subsystems' efficiencies of 29 mutual funds in China from 2018 to 2022. Empirical results demonstrate that both operational management efficiency and portfolio management efficiency significantly impact overall efficiency. Funds exhibiting excellent performance in operational management subsystem are more likely to achieve outstanding overall performance. Based on the empirical results, some policy recommendations are proposed.

Suggested Citation

  • Xiao Shi & Zhuo Pei & Xinle Liu, 2025. "Efficiency Assessment of Mutual Fund With Risk and Negative Data: An Improved Two‐Stage Network SBM Model," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 46(3), pages 1645-1660, April.
    • Handle: RePEc:wly:mgtdec:v:46:y:2025:i:3:p:1645-1660
    DOI: 10.1002/mde.4464
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/mde.4464
    Download Restriction: no
    File URL: https://libkey.io/10.1002/mde.4464?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Antonella Basso & Stefania Funari, 2017. "The role of fund size in the performance of mutual funds assessed with DEA models," The European Journal of Finance, Taylor & Francis Journals, vol. 23(6), pages 457-473, May.
    2. Michael C. Jensen, 1968. "The Performance Of Mutual Funds In The Period 1945–1964," Journal of Finance, American Finance Association, vol. 23(2), pages 389-416, May.
    3. Galagedera, Don U.A. & Roshdi, Israfil & Fukuyama, Hirofumi & Zhu, Joe, 2018. "A new network DEA model for mutual fund performance appraisal: An application to U.S. equity mutual funds," Omega, Elsevier, vol. 77(C), pages 168-179.
    4. Lin, Ruiyue & Li, Zongxin, 2020. "Directional distance based diversification super-efficiency DEA models for mutual funds," Omega, Elsevier, vol. 97(C).
    5. Tone, Kaoru & Tsutsui, Miki, 2009. "Network DEA: A slacks-based measure approach," European Journal of Operational Research, Elsevier, vol. 197(1), pages 243-252, August.
    6. Ryan, Ellen, 2024. "Are fund managers rewarded for taking cyclical risks?," Journal of Financial Markets, Elsevier, vol. 68(C).
    7. Lin, Sheng-Wei & Lu, Wen-Min, 2024. "Discretionary investment managers evaluation in pension fund: Shared input dynamic network DEA approach," Omega, Elsevier, vol. 127(C).
    8. Murthi, B. P. S. & Choi, Yoon K. & Desai, Preyas, 1997. "Efficiency of mutual funds and portfolio performance measurement: A non-parametric approach," European Journal of Operational Research, Elsevier, vol. 98(2), pages 408-418, April.
    9. Jin, Qianying & Basso, Antonella & Funari, Stefania & Kerstens, Kristiaan & Van de Woestyne, Ignace, 2024. "Evaluating different groups of mutual funds using a metafrontier approach: Ethical vs. non-ethical funds," European Journal of Operational Research, Elsevier, vol. 312(3), pages 1134-1145.
    10. Tarnaud, Albane Christine & Leleu, Hervé, 2018. "Portfolio analysis with DEA: Prior to choosing a model," Omega, Elsevier, vol. 75(C), pages 57-76.
    11. Charnes, A. & Cooper, W. W. & Golany, B. & Seiford, L. & Stutz, J., 1985. "Foundations of data envelopment analysis for Pareto-Koopmans efficient empirical production functions," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 91-107.
    12. Martin Eling, 2006. "Performance measurement of hedge funds using data envelopment analysis," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 20(4), pages 442-471, December.
    13. Cheng, Gang & Zervopoulos, Panagiotis & Qian, Zhenhua, 2013. "A variant of radial measure capable of dealing with negative inputs and outputs in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 225(1), pages 100-105.
    14. Tone, Kaoru & Chang, Tsung-Sheng & Wu, Chen-Hui, 2020. "Handling negative data in slacks-based measure data envelopment analysis models," European Journal of Operational Research, Elsevier, vol. 282(3), pages 926-935.
    15. M C A Silva Portela & E Thanassoulis & G Simpson, 2004. "Negative data in DEA: a directional distance approach applied to bank branches," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(10), pages 1111-1121, October.
    16. Yusi Cheng & Xuejie Bai & Yung‐Ho Chiu, 2023. "Performance evaluation for health‐care sectors using a dynamic network data envelopment analysis approach," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 44(4), pages 2237-2253, June.
    17. Sevgi Eda Tuzcu & Emrah Ertugay, 2020. "Is size an input in the mutual fund performance evaluation with DEA?," Eurasian Economic Review, Springer;Eurasia Business and Economics Society, vol. 10(4), pages 635-659, December.
    18. Camanho, Ana Santos & Silva, Maria Conceicao & Piran, Fabio Sartori & Lacerda, Daniel Pacheco, 2024. "A literature review of economic efficiency assessments using Data Envelopment Analysis," European Journal of Operational Research, Elsevier, vol. 315(1), pages 1-18.
    19. Aparicio, Juan & Pastor, Jesus T. & Vidal, Fernando, 2016. "The directional distance function and the translation invariance property," Omega, Elsevier, vol. 58(C), pages 1-3.
    20. Lin, Jia-Hui & Yen, Meng-Feng & Hsieh, Wei-Cheng, 2023. "Do manager characteristics matter in equity mutual fund performance? New evidence based on the double-adjusted alpha," Pacific-Basin Finance Journal, Elsevier, vol. 77(C).
    21. Ebenezer Fiifi Emire Atta Mills & Siegfried Anyomi & Mavis Agyapomah Baafi & Prasad Siba Borah, 2022. "A dynamic SBM‐DEA and portfolio formation test approach to the operating efficiency‐stock returns nexus," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(7), pages 3095-3106, October.
    22. J A Sharp & W Meng & W Liu, 2007. "A modified slacks-based measure model for data envelopment analysis with ‘natural’ negative outputs and inputs," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(12), pages 1672-1677, December.
    23. Muhammad Asad Ali & Muhammad Aqil & Syed Hasnain Alam Kazmi & Syed Imran Zaman, 2023. "Evaluation of risk adjusted performance of mutual funds in an emerging market," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 28(2), pages 1436-1449, April.
    24. Tone, Kaoru, 2001. "A slacks-based measure of efficiency in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 130(3), pages 498-509, May.
    25. Scheel, Holger, 2001. "Undesirable outputs in efficiency valuations," European Journal of Operational Research, Elsevier, vol. 132(2), pages 400-410, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Amineh Ghazi & Farhad Hosseinzadeh Lotfi & Masoud Sanei, 2020. "Hybrid efficiency measurement and target setting based on identifying defining hyperplanes of the PPS with negative data," Operational Research, Springer, vol. 20(2), pages 1055-1092, June.
    2. Kao, Chiang, 2022. "Measuring efficiency in a general production possibility set allowing for negative data: An extension and a focus on returns to scale," European Journal of Operational Research, Elsevier, vol. 296(1), pages 267-276.
    3. Lin, Ruiyue & Liu, Qian, 2021. "Multiplier dynamic data envelopment analysis based on directional distance function: An application to mutual funds," European Journal of Operational Research, Elsevier, vol. 293(3), pages 1043-1057.
    4. Andreu, Laura & Serrano, Miguel & Vicente, Luis, 2019. "Efficiency of mutual fund managers: A slacks-based manager efficiency index," European Journal of Operational Research, Elsevier, vol. 273(3), pages 1180-1193.
    5. Lin, Shuguang & Shi, Hai-Liu & Wang, Ying-Ming, 2022. "An integrated slacks-based super-efficiency measure in the presence of nonpositive data," Omega, Elsevier, vol. 111(C).
    6. Halická, Margaréta & Trnovská, Mária & Černý, Aleš, 2024. "A unified approach to radial, hyperbolic, and directional efficiency measurement in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 312(1), pages 298-314.
    7. Tavana, Madjid & Izadikhah, Mohammad & Toloo, Mehdi & Roostaee, Razieh, 2021. "A new non-radial directional distance model for data envelopment analysis problems with negative and flexible measures," Omega, Elsevier, vol. 102(C).
    8. Adler, Nicole & Volta, Nicola, 2016. "Accounting for externalities and disposability: A directional economic environmental distance function," European Journal of Operational Research, Elsevier, vol. 250(1), pages 314-327.
    9. U D Kumar & A B Roy & H Saranga & K Singal, 2010. "Analysis of hedge fund strategies using slack-based DEA models," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(12), pages 1746-1760, December.
    10. Sepideh Kaffash & Reza Kazemi Matin & Mohammad Tajik, 2018. "A directional semi-oriented radial DEA measure: an application on financial stability and the efficiency of banks," Annals of Operations Research, Springer, vol. 264(1), pages 213-234, May.
    11. Chang, Tsung-Sheng & Tone, Kaoru & Wu, Chen-Hui, 2021. "Nested dynamic network data envelopment analysis models with infinitely many decision making units for portfolio evaluation," European Journal of Operational Research, Elsevier, vol. 291(2), pages 766-781.
    12. Chang, Young-Tae & Lee, Suhyung & Park, Hyosoo (Kevin), 2017. "Efficiency analysis of major cruise lines," Tourism Management, Elsevier, vol. 58(C), pages 78-88.
    13. H. Pierre Hsieh & Imen Tebourbi & Wen‐Min Lu & Nai‐Yu Liu, 2020. "Mutual fund performance: The decision quality and capital magnet efficiencies," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 41(5), pages 861-872, July.
    14. Ioannis E. Tsolas, 2020. "Precious Metal Mutual Fund Performance Evaluation: A Series Two-Stage DEA Modeling Approach," JRFM, MDPI, vol. 13(5), pages 1-13, April.
    15. Wen-Min Lu & Qian Long Kweh & Chung-Wei Wang, 2021. "Integration and application of rough sets and data envelopment analysis for assessments of the investment trusts industry," Annals of Operations Research, Springer, vol. 296(1), pages 163-194, January.
    16. Tianqun Xu & Ping Gao & Qian Yu & Debin Fang, 2017. "An Improved Eco-Efficiency Analysis Framework Based on Slacks-Based Measure Method," Sustainability, MDPI, vol. 9(6), pages 1-21, June.
    17. Tarnaud, Albane Christine & Leleu, Hervé, 2018. "Portfolio analysis with DEA: Prior to choosing a model," Omega, Elsevier, vol. 75(C), pages 57-76.
    18. Aparicio, Juan & Kapelko, Magdalena, 2019. "Accounting for slacks to measure dynamic inefficiency in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 278(2), pages 463-471.
    19. Kao, Chiang, 2020. "Measuring efficiency in a general production possibility set allowing for negative data," European Journal of Operational Research, Elsevier, vol. 282(3), pages 980-988.
    20. Andrey V. Lychev & Svetlana V. Ratner & Vladimir E. Krivonozhko, 2023. "Two-Stage Data Envelopment Analysis Models with Negative System Outputs for the Efficiency Evaluation of Government Financial Policies," Mathematics, MDPI, vol. 11(24), pages 1-21, December.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:mgtdec:v:46:y:2025:i:3:p:1645-1660. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: http://www3.interscience.wiley.com/cgi-bin/jhome/7976 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.