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New Dea Performance Evaluation Indices And Their Applications In The American Fund Market

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  • RUIYUE LIN

    (Faculty of Mathematics and Information Science, Wenzhou University, Wenzhou, Zhejiang Province, China)

  • ZHIPING CHEN

    (Faculty of Science, Xi'an Jiaotong University, Xi'an, Shaanxi Province, China)

Abstract

The data envelopment analysis (DEA) method is a mathematical programming approach to evaluate the relative performance of portfolios. Considering that the risk input indicators of existing DEA performance evaluation indices cannot reflect the pervasive fat tails and asymmetry in return distributions of mutual funds, we originally introduce new risk measures CVaR and VaR into inputs of relevant DEA indices to measure relative performance of portfolios more objectively. To fairly evaluate the performance variation of the same fund during different time periods, we creatively treat them as different decision making units (DMUs). Different from available DEA applications which mainly investigate the American mutual fund performance from the whole market or industry aspect, we analyze in detail the effect of different input/output indicator combinations on the performance of individual funds. Our empirical results show that VaR and CVaR, especially their combinations with traditional risk measures, are very helpful for comprehensively describing return distribution properties such as skewness and leptokurtosis, and can thus better evaluate the overall performance of mutual funds.

Suggested Citation

  • Ruiyue Lin & Zhiping Chen, 2008. "New Dea Performance Evaluation Indices And Their Applications In The American Fund Market," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 25(04), pages 421-450.
    • Handle: RePEc:wsi:apjorx:v:25:y:2008:i:04:n:s0217595908001882
    DOI: 10.1142/S0217595908001882
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    Cited by:

    1. Ruiyue Lin & Zhiping Chen & Qianhui Hu & Zongxin Li, 2017. "Dynamic network DEA approach with diversification to multi-period performance evaluation of funds," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(3), pages 821-860, July.
    2. Y Ito & S Managi & A Matsuda, 2013. "Performances of socially responsible investment and environmentally friendly funds," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 64(11), pages 1583-1594, November.
    3. Lin, Ruiyue & Li, Zongxin, 2020. "Directional distance based diversification super-efficiency DEA models for mutual funds," Omega, Elsevier, vol. 97(C).

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