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Hedging with zero-value at risk hedge ratio

Author

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  • Jui-Cheng Hung
  • Chien-Liang Chiu
  • Ming-Chih Lee

Abstract

In this paper we derive a new mean-risk hedge ratio based on the concept of Value at Risk (VaR). The proposed zero-VaR hedge ratio has an analytical solution and it converges to the MV hedge ratio under a pure martingale process or normality. A bivariate constant correlation GARCH(1,1) model with an error correction term is employed to estimate expected returns and time-varying volatilities of the spot and futures in S&P 500 index. The empirical results indicates that the joint normality and martingale process do not hold for S&P 500 futures and the conventional minimum variance hedge is inappropriate for a hedger who only cares about downside risk. Eventually, this article provides an alternative hedging method for a practitioner to use the concept of Value-at-Risk to reflect the risk-averse level.

Suggested Citation

  • Jui-Cheng Hung & Chien-Liang Chiu & Ming-Chih Lee, 2006. "Hedging with zero-value at risk hedge ratio," Applied Financial Economics, Taylor & Francis Journals, vol. 16(3), pages 259-269.
    • Handle: RePEc:taf:apfiec:v:16:y:2006:i:3:p:259-269
    DOI: 10.1080/09603100500394127
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    References listed on IDEAS

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    Cited by:

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    2. Huang, Jinbo & Ding, Ashley & Li, Yong & Lu, Dong, 2020. "Increasing the risk management effectiveness from higher accuracy: A novel non-parametric method," Pacific-Basin Finance Journal, Elsevier, vol. 62(C).
    3. Wenming Shi & Kevin X. Li & Zhongzhi Yang & Ganggang Wang, 2017. "Time-varying copula models in the shipping derivatives market," Empirical Economics, Springer, vol. 53(3), pages 1039-1058, November.
    4. Čech, František & Zítek, Michal, 2022. "Marine fuel hedging under the sulfur cap regulations," Energy Economics, Elsevier, vol. 113(C).
    5. George E. Halkos & Apostolos S. Tsirivis, 2019. "Energy Commodities: A Review of Optimal Hedging Strategies," Energies, MDPI, vol. 12(20), pages 1-19, October.
    6. Donald Lien & Keshab Shrestha & Jing Wu, 2016. "Quantile Estimation of Optimal Hedge Ratio," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 36(2), pages 194-214, February.
    7. Su, Kuangxi & Yao, Yinhong & Zheng, Chengli & Xie, Wenzhao, 2023. "A novel hybrid strategy for crude oil future hedging based on the combination of three minimum-CVaR models," International Review of Economics & Finance, Elsevier, vol. 83(C), pages 35-50.
    8. Peter Albrecht, 2011. "Zur Theorie des Value at Risk-minimalen Hedges," Schmalenbach Journal of Business Research, Springer, vol. 63(1), pages 2-18, February.

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