IDEAS home Printed from https://ideas.repec.org/a/taf/apfiec/v8y1998i6p645-652.html
   My bibliography  Save this article

Lower partial moment hedge ratios

Author

Listed:
  • Babak Eftekhari

Abstract

Some investors may benefit from using measures of risk other than the variance in their investment decisions, specially if they are concerned with minimizing the downside risk of their portfolios. An accessible numerical method for calculating hedge ratios given any measure of risk is presented. The method is applied to the FTSE-100 index and the futures on FTSE-100, using a downside risk measure, namely the lower partial moment. The results show that lower partial moment hedge ratios are effective in reducing downside risk and increasing returns.

Suggested Citation

  • Babak Eftekhari, 1998. "Lower partial moment hedge ratios," Applied Financial Economics, Taylor & Francis Journals, vol. 8(6), pages 645-652.
    • Handle: RePEc:taf:apfiec:v:8:y:1998:i:6:p:645-652
    DOI: 10.1080/096031098332682
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1080/096031098332682
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/096031098332682?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Donald Lien & Xiangdong Luo, 1993. "Estimating the extended mean‐gini coefficient for futures hedging," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 13(6), pages 665-676, September.
    2. Newbery, David, 1970. "A theorem on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 264-266, September.
    3. Robert W. Kolb & John Okunev, 1993. "Utility maximizing hedge ratios in the extended mean gini framework," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 13(6), pages 597-609, September.
    4. Robert W. Kolb & John Okunev, 1992. "An empirical evaluation of the extended mean‐gini coefficient for futures hedging," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 12(2), pages 177-186, April.
    5. Bawa, Vijay S., 1975. "Optimal rules for ordering uncertain prospects," Journal of Financial Economics, Elsevier, vol. 2(1), pages 95-121, March.
    6. Chamberlain, Gary, 1983. "A characterization of the distributions that imply mean--Variance utility functions," Journal of Economic Theory, Elsevier, vol. 29(1), pages 185-201, February.
    7. Bawa, Vijay S. & Lindenberg, Eric B., 1977. "Abstract: Capital Market Equilibrium in a Mean-Lower Partial Moment Framework," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 635-635, November.
    8. Bawa, Vijay S., 1978. "Safety-First, Stochastic Dominance, and Optimal Portfolio Choice," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 13(2), pages 255-271, June.
    9. Harlow, W. V. & Rao, Ramesh K. S., 1989. "Asset Pricing in a Generalized Mean-Lower Partial Moment Framework: Theory and Evidence," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 24(3), pages 285-311, September.
    10. Bawa, Vijay S. & Lindenberg, Eric B., 1977. "Capital market equilibrium in a mean-lower partial moment framework," Journal of Financial Economics, Elsevier, vol. 5(2), pages 189-200, November.
    11. Figlewski, Stephen, 1984. "Hedging Performance and Basis Risk in Stock Index Futures," Journal of Finance, American Finance Association, vol. 39(3), pages 657-669, July.
    12. Price, Kelly & Price, Barbara & Nantell, Timothy J, 1982. "Variance and Lower Partial Moment Measures of Systematic Risk: Some Analytical and Empirical Results," Journal of Finance, American Finance Association, vol. 37(3), pages 843-855, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Kuang, Wei, 2023. "The equity-oil hedge: A comparison between volatility and alternative risk frameworks," Energy, Elsevier, vol. 271(C).
    2. 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.
    3. Turvey, Calum G. & Nayak, Govindaray, 2003. "The Semivariance-Minimizing Hedge Ratio," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 28(1), pages 1-16, April.
    4. S. M. Sunoj & S. S. Maya, 2008. "The role of lower partial moments in stochastic modeling," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(2), pages 223-242.
    5. Conlon, Thomas & Cotter, John, 2013. "Downside risk and the energy hedger's horizon," Energy Economics, Elsevier, vol. 36(C), pages 371-379.
    6. Dar-Hsin Chen & Chun-Da Chen & Jianguo Chen, 2009. "Downside risk measures and equity returns in the NYSE," Applied Economics, Taylor & Francis Journals, vol. 41(8), pages 1055-1070.
    7. Mattos, Fabio & Garcia, Philip & Nelson, Carl, 2008. "Relaxing standard hedging assumptions in the presence of downside risk," The Quarterly Review of Economics and Finance, Elsevier, vol. 48(1), pages 78-93, February.
    8. Christian Dunis & Pierre Lequeux, 2000. "Intraday data and hedging efficiency in interest spread trading," The European Journal of Finance, Taylor & Francis Journals, vol. 6(4), pages 332-352.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zhangxin (Frank) Liu & Michael J. O'Neill, 2018. "Partial moment volatility indices," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 58(1), pages 195-215, March.
    2. 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.
    3. Grootveld, Henk & Hallerbach, Winfried, 1999. "Variance vs downside risk: Is there really that much difference?," European Journal of Operational Research, Elsevier, vol. 114(2), pages 304-319, April.
    4. Robert Jarrow & Feng Zhao, 2006. "Downside Loss Aversion and Portfolio Management," Management Science, INFORMS, vol. 52(4), pages 558-566, April.
    5. Hildebrandt, Patrick & Knoke, Thomas, 2011. "Investment decisions under uncertainty--A methodological review on forest science studies," Forest Policy and Economics, Elsevier, vol. 13(1), pages 1-15, January.
    6. Anthonisz, Sean A., 2012. "Asset pricing with partial-moments," Journal of Banking & Finance, Elsevier, vol. 36(7), pages 2122-2135.
    7. Benedikt Hoechner & Peter Reichling & Gordon Schulze, 2015. "Pitfalls of downside performance measures with arbitrary targets," FEMM Working Papers 150018, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    8. 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.
    9. Elie Matta & Jean McGuire, 2008. "Too Risky to Hold? The Effect of Downside Risk, Accumulated Equity Wealth, and Firm Performance on CEO Equity Reduction," Organization Science, INFORMS, vol. 19(4), pages 567-580, August.
    10. Brogan, Anita J. & Stidham Jr., Shaler, 2008. "Non-separation in the mean-lower-partial-moment portfolio optimization problem," European Journal of Operational Research, Elsevier, vol. 184(2), pages 701-710, January.
    11. Yao, Haixiang & Huang, Jinbo & Li, Yong & Humphrey, Jacquelyn E., 2021. "A general approach to smooth and convex portfolio optimization using lower partial moments," Journal of Banking & Finance, Elsevier, vol. 129(C).
    12. Toker Doganoglu & Christoph Hartz & Stefan Mittnik, 2007. "Portfolio optimization when risk factors are conditionally varying and heavy tailed," Computational Economics, Springer;Society for Computational Economics, vol. 29(3), pages 333-354, May.
    13. Turan G. Bali & Nusret Cakici & Robert F. Whitelaw, 2013. "Hybrid Tail Risk and Expected Stock Returns: When Does the Tail Wag the Dog?," NBER Working Papers 19460, National Bureau of Economic Research, Inc.
    14. Penaranda, Francisco, 2007. "Portfolio choice beyond the traditional approach," LSE Research Online Documents on Economics 24481, London School of Economics and Political Science, LSE Library.
    15. Houda Hafsa & Dorra Hmaied, 2012. "Are Downside Higher Order Co-Moments Priced? : Evidence From The French Market," The International Journal of Business and Finance Research, The Institute for Business and Finance Research, vol. 6(1), pages 65-81.
    16. Ayub, Usman & Shah, Syed Zulfiqar Ali & Abbas, Qaisar, 2015. "Robust analysis for downside risk in portfolio management for a volatile stock market," Economic Modelling, Elsevier, vol. 44(C), pages 86-96.
    17. Galagedera, Don U.A., 2007. "An alternative perspective on the relationship between downside beta and CAPM beta," Emerging Markets Review, Elsevier, vol. 8(1), pages 4-19, March.
    18. Bertsimas, Dimitris & Lauprete, Geoffrey J. & Samarov, Alexander, 2004. "Shortfall as a risk measure: properties, optimization and applications," Journal of Economic Dynamics and Control, Elsevier, vol. 28(7), pages 1353-1381, April.
    19. León, Ángel & Moreno, Manuel, 2015. "Lower Partial Moments under Gram Charlier Distribution: Performance Measures and Efficient Frontiers," QM&ET Working Papers 15-3, University of Alicante, D. Quantitative Methods and Economic Theory.
    20. Niv Nayman, 2018. "Shortfall Risk Minimization Under Fixed Transaction Costs," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 21(05), pages 1-29, August.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:taf:apfiec:v:8:y:1998:i:6:p:645-652. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/RAFE20 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.