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On a Mean—Generalized Semivariance Approach to Determining the Hedge Ratio

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  • Sheng‐Syan Chen
  • Cheng‐Few Lee
  • Keshab Shrestha

Abstract

A new mean‐risk hedge ratio based on the concept of generalized semivariance (GSV) is proposed. The proposed mean‐GSV (M‐GSV) hedge ratio is consistent with the GSV‐based risk–return model developed by Fishburn (1977), Bawa (1975, 1978), and Harlow and Rao (1989). The M‐GSV hedge ratio can also be considered an extension of the GSV‐minimizing hedge ratio considered by De Jong, De Roon, and Veld (1997) and Lien and Tse (1998, 2000). The M‐GSV hedge ratio is estimated for Standard & Poor's (S&P) 500 futures and compared to six other widely used hedge ratios. Because all the hedge ratios considered are known to converge to the minimum‐variance (Johnson) hedge ratio under joint normality and martingale conditions, tests for normality and martingale conditions are carried out. The empirical results indicate that the joint normality and martingale hypotheses do not hold for the S&P 500 futures. The M‐GSV hedge ratio varies less than the GSV hedge ratio for low and relevant levels of risk aversion. Furthermore, the M‐GSV hedge ratio converges to a value different from the values of the other hedge ratios for higher values of risk aversion. © 2001 John Wiley & Sons, Inc. Jrl Fut Mark 21: 581–598, 2001

Suggested Citation

  • Sheng‐Syan Chen & Cheng‐Few Lee & Keshab Shrestha, 2001. "On a Mean—Generalized Semivariance Approach to Determining the Hedge Ratio," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 21(6), pages 581-598, June.
    • Handle: RePEc:wly:jfutmk:v:21:y:2001:i:6:p:581-598
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    Cited by:

    1. Białkowski, Jędrzej & Bohl, Martin T. & Perera, Devmali, 2023. "Commodity futures hedge ratios: A meta-analysis," Journal of Commodity Markets, Elsevier, vol. 30(C).
    2. Francis In & Sangbae Kim, 2012. "An Introduction to Wavelet Theory in Finance:A Wavelet Multiscale Approach," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 8431, December.
    3. Shrestha, Keshab & Subramaniam, Ravichandran & Rassiah, Puspavathy, 2017. "Pure martingale and joint normality tests for energy futures contracts," Energy Economics, Elsevier, vol. 63(C), pages 174-184.
    4. Chevallier, Julien & Ielpo, Florian, 2017. "Investigating the leverage effect in commodity markets with a recursive estimation approach," Research in International Business and Finance, Elsevier, vol. 39(PB), pages 763-778.

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