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The Estimation of Systematic Risk under Differentiated Risk Aversion: A Mean-Extended Gini Approach

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  • Gregory-Allen, Russell B
  • Shalit, Haim

Abstract

This paper examines a mean-Gini model of systematic risk estimation that resolves some econometric problems with mean-variance beta estimation and allows for heterogeneous risk aversion across investors. Using the mean-extended Gini (MEG) model, we estimate systematic risks for different degrees of risk aversion. MEG betas are shown to be instrumental variable estimators that provide econometric solutions to biases generated by the estimation of mean-variance (MV) betas. When security returns are not normally distributed, MEG betas are proved to differ from MV betas. We design an econometric test that assesses whether these differences are significant. As an application using daily returns, we estimate MEG and MV betas for U.S. securities. Copyright 1999 by Kluwer Academic Publishers

Suggested Citation

  • Gregory-Allen, Russell B & Shalit, Haim, 1999. "The Estimation of Systematic Risk under Differentiated Risk Aversion: A Mean-Extended Gini Approach," Review of Quantitative Finance and Accounting, Springer, vol. 12(2), pages 135-157, March.
  • Handle: RePEc:kap:rqfnac:v:12:y:1999:i:2:p:135-57
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    Cited by:

    1. Darren Butterworth & Phil Holmes, 2005. "The Hedging Effectiveness of U.K. Stock Index Futures Contracts Using an Extended Mean Gini Approach: Evidence for the FTSE 100 and FTSE Mid250 Contracts," Multinational Finance Journal, Multinational Finance Journal, vol. 9(3-4), pages 131-160, September.
    2. Haim Shalit & Shlomo Yitzhaki, 2010. "How does beta explain stochastic dominance efficiency?," Review of Quantitative Finance and Accounting, Springer, vol. 35(4), pages 431-444, November.
    3. E. Schechtman & S. Yitzhaki, 2003. "A Family of Correlation Coefficients Based on the Extended Gini Index," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 1(2), pages 129-146, August.
    4. George E. Halkos & Apostolos S. Tsirivis, 2019. "Energy Commodities: A Review of Optimal Hedging Strategies," Energies, MDPI, vol. 12(20), pages 1-19, October.
    5. Shlomo Yitzhaki & Edna Schechtman, 2005. "The properties of the extended Gini measures of variability and inequality," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 401-433.

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