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Enhanced index tracking: A relative downside risk approach

Author

Listed:
  • Luo, Ronghua
  • Huang, Zeyu
  • Liu, Yangyi

Abstract

We introduce the Relative Downside Tracking Error (RDTE) model, a dynamic enhanced indexing method that adapts to the time-varying and mean-reverting nature of market volatility. The RDTE model dynamically adjusts the weights assigned to downside deviations based on market volatility, allowing for greater flexibility during high-volatility periods. This flexibility helps the model reduce the emphasis on short-term fluctuations, focusing instead on minimizing overall downside risk. By doing so, the model effectively controls portfolio distortion, leading to more stable long-term performance. Empirical analyses of U.S. and Chinese stock markets demonstrate that the RDTE model consistently outperforms traditional models, delivering higher returns, lower downside risk, and better risk-adjusted performance. This outperformance is driven by the RDTE model’s effective downside risk management during volatile periods, as confirmed by its superior long-term performance in both markets.

Suggested Citation

  • Luo, Ronghua & Huang, Zeyu & Liu, Yangyi, 2025. "Enhanced index tracking: A relative downside risk approach," The North American Journal of Economics and Finance, Elsevier, vol. 80(C).
  • Handle: RePEc:eee:ecofin:v:80:y:2025:i:c:s106294082500141x
    DOI: 10.1016/j.najef.2025.102501
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    References listed on IDEAS

    as
    1. Filippi, C. & Guastaroba, G. & Speranza, M.G., 2016. "A heuristic framework for the bi-objective enhanced index tracking problem," Omega, Elsevier, vol. 65(C), pages 122-137.
    2. Scholes, Myron & Williams, Joseph, 1977. "Estimating betas from nonsynchronous data," Journal of Financial Economics, Elsevier, vol. 5(3), pages 309-327, December.
    3. Manuel Ammann & Heinz Zimmermann, 2001. "Tracking Error and Tactical Asset Allocation," Financial Analysts Journal, Taylor & Francis Journals, vol. 57(2), pages 32-43, March.
    4. Yang, Jianlei, 2024. "Financial stability policy and downside risk in stock returns," The North American Journal of Economics and Finance, Elsevier, vol. 73(C).
    5. Mohammad Sharifzadeh & Simin Hojat, 2012. "An analytical performance comparison of exchange-traded funds with index funds: 2002–2010," Journal of Asset Management, Palgrave Macmillan, vol. 13(3), pages 196-209, June.
    6. Perry, Philip R., 1985. "Portfolio Serial Correlation and Nonsynchronous Trading," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 20(4), pages 517-523, December.
    7. Aboura, Sofiane & Chevallier, Julien, 2017. "A new weighting-scheme for equity indexes," International Review of Financial Analysis, Elsevier, vol. 54(C), pages 159-175.
    8. repec:eme:mfppss:v:38:y:2012:i:9:p:804-832 is not listed on IDEAS
    9. Philippe Jorion, 2003. "Portfolio Optimization with Tracking-Error Constraints," Financial Analysts Journal, Taylor & Francis Journals, vol. 59(5), pages 70-82, September.
    10. Atilgan, Yigit & Bali, Turan G. & Demirtas, K. Ozgur & Gunaydin, A. Doruk, 2019. "Global downside risk and equity returns," Journal of International Money and Finance, Elsevier, vol. 98(C), pages 1-1.
    11. Liu, Lily Y. & Patton, Andrew J. & Sheppard, Kevin, 2015. "Does anything beat 5-minute RV? A comparison of realized measures across multiple asset classes," Journal of Econometrics, Elsevier, vol. 187(1), pages 293-311.
    12. Beasley, J. E. & Meade, N. & Chang, T. -J., 2003. "An evolutionary heuristic for the index tracking problem," European Journal of Operational Research, Elsevier, vol. 148(3), pages 621-643, August.
    13. Pastor, Lubos & Stambaugh, Robert F., 2003. "Liquidity Risk and Expected Stock Returns," Journal of Political Economy, University of Chicago Press, vol. 111(3), pages 642-685, June.
    14. Marco Nicolosi & Flavio Angelini & Stefano Herzel, 2018. "Portfolio management with benchmark related incentives under mean reverting processes," Annals of Operations Research, Springer, vol. 266(1), pages 373-394, July.
    15. Wu, Chunying & Xiong, Xiong & Gao, Ya, 2021. "Performance comparisons between ETFs and traditional index funds: Evidence from China," Finance Research Letters, Elsevier, vol. 40(C).
    16. Gnägi, M. & Strub, O., 2020. "Tracking and outperforming large stock-market indices," Omega, Elsevier, vol. 90(C).
    17. Maenhout, Pascal J., 2006. "Robust portfolio rules and detection-error probabilities for a mean-reverting risk premium," Journal of Economic Theory, Elsevier, vol. 128(1), pages 136-163, May.
    18. Li, Si & He, Fangyi & Shi, Fangquan, 2023. "Cognitive biases, downside risk shocks, and stock expected returns," The North American Journal of Economics and Finance, Elsevier, vol. 68(C).
    19. Torben G. Andersen & Tim Bollerslev & Francis X. Diebold & Clara Vega, 2003. "Micro Effects of Macro Announcements: Real-Time Price Discovery in Foreign Exchange," American Economic Review, American Economic Association, vol. 93(1), pages 38-62, March.
    20. Jan Frederick Hausner & Gary van Vuuren, 2021. "Portfolio performance under tracking error and benchmark volatility constraints," Journal of Economics, Finance and Administrative Science, Emerald Group Publishing Limited, vol. 26(51), pages 94-111, June.
    21. Wu, Dexiang & Wu, Desheng Dash, 2020. "A decision support approach for two-stage multi-objective index tracking using improved lagrangian decomposition," Omega, Elsevier, vol. 91(C).
    22. Marcin Kacperczyk & Stijn Van Nieuwerburgh & Laura Veldkamp, 2014. "Time-Varying Fund Manager Skill," Journal of Finance, American Finance Association, vol. 69(4), pages 1455-1484, August.
    23. Zhang, Ning & Zhang, Yue & Zong, Zhe, 2023. "Fund ESG performance and downside risk: Evidence from China," International Review of Financial Analysis, Elsevier, vol. 86(C).
    24. Agapova, Anna, 2011. "Conventional mutual index funds versus exchange-traded funds," Journal of Financial Markets, Elsevier, vol. 14(2), pages 323-343, May.
    25. Andrew Ang & Robert J. Hodrick & Yuhang Xing & Xiaoyan Zhang, 2006. "The Cross‐Section of Volatility and Expected Returns," Journal of Finance, American Finance Association, vol. 61(1), pages 259-299, February.
    26. Ding, Zhuanxin & Granger, Clive W. J., 1996. "Modeling volatility persistence of speculative returns: A new approach," Journal of Econometrics, Elsevier, vol. 73(1), pages 185-215, July.
    27. Bruno Feunou & Mohammad R Jahan-Parvar & Cédric Okou, 2018. "Downside Variance Risk Premium," Journal of Financial Econometrics, Oxford University Press, vol. 16(3), pages 341-383.
    28. Bredin, Don & Conlon, Thomas & Potì, Valerio, 2017. "The price of shelter - Downside risk reduction with precious metals," International Review of Financial Analysis, Elsevier, vol. 49(C), pages 48-58.
    29. Yang, Tingting & Huang, Xiaoxia, 2022. "Two new mean–variance enhanced index tracking models based on uncertainty theory," The North American Journal of Economics and Finance, Elsevier, vol. 59(C).
    30. R. Cont, 2001. "Empirical properties of asset returns: stylized facts and statistical issues," Quantitative Finance, Taylor & Francis Journals, vol. 1(2), pages 223-236.
    31. Fama, Eugene F, 1970. "Efficient Capital Markets: A Review of Theory and Empirical Work," Journal of Finance, American Finance Association, vol. 25(2), pages 383-417, May.
    32. Fernandes, Marcelo & Medeiros, Marcelo C. & Scharth, Marcel, 2014. "Modeling and predicting the CBOE market volatility index," Journal of Banking & Finance, Elsevier, vol. 40(C), pages 1-10.
    33. Payzan-LeNestour, Elise & Pradier, Lionnel & Putniņš, Tālis J., 2023. "Biased risk perceptions: Evidence from the laboratory and financial markets," Journal of Banking & Finance, Elsevier, vol. 154(C).
    34. Chen, Qi-an & Hu, Qingyu & Yang, Hu & Qi, Kai, 2022. "A kind of new time-weighted nonnegative lasso index-tracking model and its application," The North American Journal of Economics and Finance, Elsevier, vol. 59(C).
    35. Atchison, Michael D & Butler, Kirt C & Simonds, Richard R, 1987. "Nonsynchronous Security Trading and Market Index Autocorrelation," Journal of Finance, American Finance Association, vol. 42(1), pages 111-118, March.
    36. Borsboom, Charlotte & Janssen, Dirk-Jan & Strucks, Markus & Zeisberger, Stefan, 2022. "History matters: How short-term price charts hurt investment performance," Journal of Banking & Finance, Elsevier, vol. 134(C).
    37. Wang, Feifei & Yan, Xuemin Sterling, 2021. "Downside risk and the performance of volatility-managed portfolios," Journal of Banking & Finance, Elsevier, vol. 131(C).
    38. Canakgoz, N.A. & Beasley, J.E., 2009. "Mixed-integer programming approaches for index tracking and enhanced indexation," European Journal of Operational Research, Elsevier, vol. 196(1), pages 384-399, July.
    39. Liu, Lu, 2014. "Extreme downside risk spillover from the United States and Japan to Asia-Pacific stock markets," International Review of Financial Analysis, Elsevier, vol. 33(C), pages 39-48.
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    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading

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