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Objective acceptability indexes

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  • Zhao, Shengli

Abstract

Based on the financial efficiency and leverage effect, this study classifies the measures of reward, risk, and performance into “simple” and “compound” types. We generalize three problems of observation inconsistency, overleverage deception, and dynamic manipulation behind classical simple measures (such as variability, LPM, VaR, and regression-based measures), and two problems of observation inconsistency and leverage variance behind traditional drawdown-based compound measures. We employ an axiomatic approach to answer the question of what undesirable influences measures should avoid, and complement the axiomatic framework with objective acceptability indexes by separating useless influences that do not add value for investors. We also develop new compound measures to solve the general problems with empirical evidence.

Suggested Citation

  • Zhao, Shengli, 2024. "Objective acceptability indexes," International Review of Financial Analysis, Elsevier, vol. 95(PC).
    • Handle: RePEc:eee:finana:v:95:y:2024:i:pc:s1057521924003910
    DOI: 10.1016/j.irfa.2024.103459
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    References listed on IDEAS

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    1. Alexei Chekhlov & Stanislav Uryasev & Michael Zabarankin, 2005. "Drawdown Measure In Portfolio Optimization," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 8(01), pages 13-58.
    2. Valeri Zakamouline, 2014. "Portfolio performance evaluation with loss aversion," Quantitative Finance, Taylor & Francis Journals, vol. 14(4), pages 699-710, April.
    3. Andrew W. Lo, 2002. "The Statistics of Sharpe Ratios," Financial Analysts Journal, Taylor & Francis Journals, vol. 58(4), pages 36-52, July.
    4. Jonathan Ingersoll & Ivo Welch, 2007. "Portfolio Performance Manipulation and Manipulation-proof Performance Measures," The Review of Financial Studies, Society for Financial Studies, vol. 20(5), pages 1503-1546, 2007 17.
    5. Hudson, Robert S. & Gregoriou, Andros, 2015. "Calculating and comparing security returns is harder than you think: A comparison between logarithmic and simple returns," International Review of Financial Analysis, Elsevier, vol. 38(C), pages 151-162.
    6. Dowd, Kevin, 2000. "Adjusting for risk:: An improved Sharpe ratio," International Review of Economics & Finance, Elsevier, vol. 9(3), pages 209-222, July.
    7. Ole Peters, 2011. "Optimal leverage from non-ergodicity," Quantitative Finance, Taylor & Francis Journals, vol. 11(11), pages 1593-1602.
    8. Yong, Luo & Bo, Zhu & Yong, Tang, 2013. "Dynamic optimal capital growth with risk constraints," Economic Modelling, Elsevier, vol. 30(C), pages 586-594.
    9. Yoram Kroll & Andrea Marchioni & Moshe Ben-Horin, 2021. "Coherent portfolio performance ratios," Quantitative Finance, Taylor & Francis Journals, vol. 21(9), pages 1589-1603, September.
    10. Zhou, Wei & Zhong, Guang-Yan & Leng, Na & Li, Jiang-Cheng & Xiong, De-Ping, 2019. "Dynamic behaviors and measurements of financial market crash rate," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 527(C).
    11. MacLean, Leonard C. & Sanegre, Rafael & Zhao, Yonggan & Ziemba, William T., 2004. "Capital growth with security," Journal of Economic Dynamics and Control, Elsevier, vol. 28(5), pages 937-954, February.
    12. Sanford J. Grossman & Zhongquan Zhou, 1993. "Optimal Investment Strategies For Controlling Drawdowns," Mathematical Finance, Wiley Blackwell, vol. 3(3), pages 241-276, July.
    13. Schuhmacher, Frank & Eling, Martin, 2011. "Sufficient conditions for expected utility to imply drawdown-based performance rankings," Journal of Banking & Finance, Elsevier, vol. 35(9), pages 2311-2318, September.
    14. Antonio E. Bernardo & Olivier Ledoit, 2000. "Gain, Loss, and Asset Pricing," Journal of Political Economy, University of Chicago Press, vol. 108(1), pages 144-172, February.
    15. Alexander Cherny & Dilip Madan, 2009. "New Measures for Performance Evaluation," The Review of Financial Studies, Society for Financial Studies, vol. 22(7), pages 2371-2406, July.
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    More about this item

    Keywords

    Objective acceptability index; Observation consistency; Compound leverage invariance; Static leverage level manipulation; Overleverage deception;
    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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