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Do higher order moments of return distribution provide better decisions in minimum-variance hedging? Evidence from US stock index futures

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  • Yang (Greg) Hou
  • Mark Holmes

Abstract

Using daily S&P 500 spot index and index futures data, this article examines the effects of conditional skewness and kurtosis parameters of a skew-Student density function on dynamic minimum-variance hedging strategies. We find an important role for autoregressive marginal skewness and joint kurtosis in risk management. While static higher order moments improve reductions in variance of hedged portfolios over the case of normality, the inclusion of an autoregressive component significantly extends these improvements. This occurs in both tranquil and tumultuous periods. Furthermore, when transaction costs are considered, taking into account variations of higher order moments retains the best performance. JEL Classification: G11, G13

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  • Yang (Greg) Hou & Mark Holmes, 2020. "Do higher order moments of return distribution provide better decisions in minimum-variance hedging? Evidence from US stock index futures," Australian Journal of Management, Australian School of Business, vol. 45(2), pages 240-265, May.
    • Handle: RePEc:sae:ausman:v:45:y:2020:i:2:p:240-265
    DOI: 10.1177/0312896219879974
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    1. Hou, Yang & Li, Steven, 2013. "Hedging performance of Chinese stock index futures: An empirical analysis using wavelet analysis and flexible bivariate GARCH approaches," Pacific-Basin Finance Journal, Elsevier, vol. 24(C), pages 109-131.
    2. Nelson, Daniel B, 1991. "Conditional Heteroskedasticity in Asset Returns: A New Approach," Econometrica, Econometric Society, vol. 59(2), pages 347-370, March.
    3. Donald Lien & Keshab Shrestha, 2007. "An empirical analysis of the relationship between hedge ratio and hedging horizon using wavelet analysis," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 27(2), pages 127-150, February.
    4. Susmel, Raul & Engle, Robert F., 1994. "Hourly volatility spillovers between international equity markets," Journal of International Money and Finance, Elsevier, vol. 13(1), pages 3-25, February.
    5. Richard T. Baillie & Young-Wook Han & Robert J. Myers & Jeongseok Song, 2007. "Long Memory and FIGARCH Models for Daily and High Frequency Commodity Prices," Working Papers 594, Queen Mary University of London, School of Economics and Finance.
    6. Eric Jondeau & Michael Rockinger, 2006. "Optimal Portfolio Allocation under Higher Moments," European Financial Management, European Financial Management Association, vol. 12(1), pages 29-55, January.
    7. Kotkatvuori-Örnberg, Juha & Nikkinen, Jussi & Äijö, Janne, 2013. "Stock market correlations during the financial crisis of 2008–2009: Evidence from 50 equity markets," International Review of Financial Analysis, Elsevier, vol. 28(C), pages 70-78.
    8. Lorenzo Cappiello & Robert F. Engle & Kevin Sheppard, 2006. "Asymmetric Dynamics in the Correlations of Global Equity and Bond Returns," Journal of Financial Econometrics, Oxford University Press, vol. 4(4), pages 537-572.
    9. J. G. Kallberg & W. T. Ziemba, 1983. "Comparison of Alternative Utility Functions in Portfolio Selection Problems," Management Science, INFORMS, vol. 29(11), pages 1257-1276, November.
    10. Bali, Turan G. & Mo, Hengyong & Tang, Yi, 2008. "The role of autoregressive conditional skewness and kurtosis in the estimation of conditional VaR," Journal of Banking & Finance, Elsevier, vol. 32(2), pages 269-282, February.
    11. Chris Brooks, 2005. "Autoregressive Conditional Kurtosis," Journal of Financial Econometrics, Oxford University Press, vol. 3(3), pages 399-421.
    12. Richard T. Baillie & Young‐Wook Han & Robert J. Myers & Jeongseok Song, 2007. "Long memory models for daily and high frequency commodity futures returns," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 27(7), pages 643-668, July.
    13. Chris Brooks & Olan T. Henry & Gita Persand, 2002. "The Effect of Asymmetries on Optimal Hedge Ratios," The Journal of Business, University of Chicago Press, vol. 75(2), pages 333-352, April.
    14. Kroner, Kenneth F. & Sultan, Jahangir, 1993. "Time-Varying Distributions and Dynamic Hedging with Foreign Currency Futures," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 28(4), pages 535-551, December.
    15. Syllignakis, Manolis N. & Kouretas, Georgios P., 2011. "Dynamic correlation analysis of financial contagion: Evidence from the Central and Eastern European markets," International Review of Economics & Finance, Elsevier, vol. 20(4), pages 717-732, October.
    16. Harvey, Campbell R. & Siddique, Akhtar, 1999. "Autoregressive Conditional Skewness," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 34(4), pages 465-487, December.
    17. Scott Gilbert & Samuel Kyle Jones & Gay Hatfield Morris, 2006. "The impact of skewness in the hedging decision," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 26(5), pages 503-520, May.
    18. Baillie, Richard T & Bollerslev, Tim, 2002. "The Message in Daily Exchange Rates: A Conditional-Variance Tale," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 60-68, January.
    19. Richard D. F. Harris & Jian Shen, 2006. "Hedging and value at risk," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 26(4), pages 369-390, April.
    20. Levy, Haim, 1969. "A Utility Function Depending on the First Three Moments: Comment," Journal of Finance, American Finance Association, vol. 24(4), pages 715-719, September.
    21. John Hua Fan & Eduardo Roca & Alexandr Akimov, 2014. "Estimation and performance evaluation of optimal hedge ratios in the carbon market of the European Union Emissions Trading Scheme," Australian Journal of Management, Australian School of Business, vol. 39(1), pages 73-91, February.
    22. Richard T. Baillie & Young-Wook Han & Robert J. Myers & Jeongseok Song, 2007. "Long Memory and FIGARCH Models for Daily and High Frequency Commodity Prices," Working Papers 594, Queen Mary University of London, School of Economics and Finance.
    23. Yiuman Tse, 1999. "Price discovery and volatility spillovers in the DJIA index and futures markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 19(8), pages 911-930, December.
    24. Mun, Melissa & Brooks, Robert, 2012. "The roles of news and volatility in stock market correlations during the global financial crisis," Emerging Markets Review, Elsevier, vol. 13(1), pages 1-7.
    25. Ederington, Louis H, 1979. "The Hedging Performance of the New Futures Markets," Journal of Finance, American Finance Association, vol. 34(1), pages 157-170, March.
    26. Engle, Robert, 2002. "Dynamic Conditional Correlation: A Simple Class of Multivariate Generalized Autoregressive Conditional Heteroskedasticity Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(3), pages 339-350, July.
    27. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
    28. Nelson, Daniel B., 1996. "Asymptotic filtering theory for multivariate ARCH models," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 1-47.
    29. Donald Lien & Keshab Shrestha, 2010. "Estimating optimal hedge ratio: a multivariate skew-normal distribution approach," Applied Financial Economics, Taylor & Francis Journals, vol. 20(8), pages 627-636.
    30. Dooley, Michael & Hutchison, Michael, 2009. "Transmission of the U.S. subprime crisis to emerging markets: Evidence on the decoupling-recoupling hypothesis," Journal of International Money and Finance, Elsevier, vol. 28(8), pages 1331-1349, December.
    31. Hansen, Bruce E, 1994. "Autoregressive Conditional Density Estimation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(3), pages 705-730, August.
    32. Sung Yong Park & Sang Young Jei, 2010. "Estimation and hedging effectiveness of time‐varying hedge ratio: Flexible bivariate garch approaches," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 30(1), pages 71-99, January.
    33. Yu‐Sheng Lai & Her‐Jiun Sheu, 2010. "The incremental value of a futures hedge using realized volatility," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 30(9), pages 874-896, September.
    34. Kim, Myeong Jun & Park, Sung Y., 2016. "Optimal conditional hedge ratio: A simple shrinkage estimation approach," Journal of Empirical Finance, Elsevier, vol. 38(PA), pages 139-156.
    35. Jondeau, Eric & Rockinger, Michael, 2003. "Conditional volatility, skewness, and kurtosis: existence, persistence, and comovements," Journal of Economic Dynamics and Control, Elsevier, vol. 27(10), pages 1699-1737, August.
    36. Chris Brooks & Alešs Černý & Joëlle Miffre, 2012. "Optimal hedging with higher moments," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 32(10), pages 909-944, October.
    37. F. Douglas Foster & Charles H. Whiteman, 2002. "Bayesian Cross Hedging: An Example From the Soybean Market," Australian Journal of Management, Australian School of Business, vol. 27(2), pages 95-122, December.
    38. Kraus, Alan & Litzenberger, Robert, 1983. "On the Distributional Conditions for a Consumption-Oriented Three Moment CAPM," Journal of Finance, American Finance Association, vol. 38(5), pages 1381-1391, December.
    39. Bollerslev, Tim, 1987. "A Conditionally Heteroskedastic Time Series Model for Speculative Prices and Rates of Return," The Review of Economics and Statistics, MIT Press, vol. 69(3), pages 542-547, August.
    40. Fu, Junhui, 2014. "Multi-objective hedging model with the third central moment and the capital budget," Economic Modelling, Elsevier, vol. 36(C), pages 213-219.
    41. Bollerslev, Tim, 1990. "Modelling the Coherence in Short-run Nominal Exchange Rates: A Multivariate Generalized ARCH Model," The Review of Economics and Statistics, MIT Press, vol. 72(3), pages 498-505, August.
    42. Engle, Robert F & Gonzalez-Rivera, Gloria, 1991. "Semiparametric ARCH Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 9(4), pages 345-359, October.
    43. Campbell R. Harvey & Akhtar Siddique, 2000. "Conditional Skewness in Asset Pricing Tests," Journal of Finance, American Finance Association, vol. 55(3), pages 1263-1295, June.
    44. Kraus, Alan & Litzenberger, Robert H, 1976. "Skewness Preference and the Valuation of Risk Assets," Journal of Finance, American Finance Association, vol. 31(4), pages 1085-1100, September.
    45. Sheng‐Syan Chen & Cheng‐Few Lee & Keshab Shrestha, 2004. "An empirical analysis of the relationship between the hedge ratio and hedging horizon: A simultaneous estimation of the short‐ and long‐run hedge ratios," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 24(4), pages 359-386, April.
    46. Tse, Y K & Tsui, Albert K C, 2002. "A Multivariate Generalized Autoregressive Conditional Heteroscedasticity Model with Time-Varying Correlations," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(3), pages 351-362, July.
    47. Bera, Anil K. & Kim, Sangwhan, 2002. "Testing constancy of correlation and other specifications of the BGARCH model with an application to international equity returns," Journal of Empirical Finance, Elsevier, vol. 9(2), pages 171-195, March.
    48. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
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    More about this item

    Keywords

    Conditional skewness and kurtosis; dynamic minimum-variance hedging; hedging effectiveness; multivariate GARCH models; skew-Student density;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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