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Multi-period hedge ratios for a multi-asset portfolio when accounting for returns comovement

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  • Viviana Fernández

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Abstract

This article presents a model to select the optimal hedge ratios of a portfolio comprised of an arbitrary number of commodities. In particular, returns dependency and heterogeneous investment horizons are accounted for by copulas and wavelets, respectively. We analyze a portfolio of London Metal Exchange metals for the period July 1993-December 2005, and conclude that neglecting cross correlations leads to biased estimates of the optimal hedge ratios and the degree of hedge effectiveness. Furthermore, when compared with a multivariate-GARCH specification, our methodology yields higher hedge effectiveness for the raw returns and their short-term components.

Suggested Citation

  • Viviana Fernández, 2007. "Multi-period hedge ratios for a multi-asset portfolio when accounting for returns comovement," Documentos de Trabajo 242, Centro de Economía Aplicada, Universidad de Chile.
  • Handle: RePEc:edj:ceauch:242
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    References listed on IDEAS

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    1. Fernandez Viviana P, 2005. "The International CAPM and a Wavelet-Based Decomposition of Value at Risk," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 9(4), pages 1-37, December.
    2. Howard, Charles T. & D'Antonio, Louis J., 1984. "A Risk-Return Measure of Hedging Effectiveness," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 19(01), pages 101-112, March.
    3. Lien, Donald & Wilson, Bradley K., 2001. "Multiperiod hedging in the presence of stochastic volatility," International Review of Financial Analysis, Elsevier, vol. 10(4), pages 395-406.
    4. Cecchetti, Stephen G & Cumby, Robert E & Figlewski, Stephen, 1988. "Estimation of the Optimal Futures Hedge," The Review of Economics and Statistics, MIT Press, vol. 70(4), pages 623-630, November.
    5. Lin Shinn-Juh & Stevenson Maxwell, 2001. "Wavelet Analysis of the Cost-of-Carry Model," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 5(1), pages 1-17, April.
    6. Fernandez, Viviana & Lucey, Brian M., 2007. "Portfolio management under sudden changes in volatility and heterogeneous investment horizons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(2), pages 612-624.
    7. Markus Junker & Alexander Szimayer & Niklas Wagner, 2004. "Nonlinear Term Structure Dependence: Copula Functions, Empirics, and Risk Implications," Econometrics 0401007, EconWPA.
    8. Gagnon, Louis & Lypny, Gregory J. & McCurdy, Thomas H., 1998. "Hedging foreign currency portfolios," Journal of Empirical Finance, Elsevier, pages 197-220.
    9. Lien, Donald, 2005. "The use and abuse of the hedging effectiveness measure," International Review of Financial Analysis, Elsevier, vol. 14(2), pages 277-282.
    10. Giesecke, Kay, 2004. "Correlated default with incomplete information," Journal of Banking & Finance, Elsevier, vol. 28(7), pages 1521-1545, July.
    11. G McMillan, David, 2005. "Time-varying hedge ratios for non-ferrous metals prices," Resources Policy, Elsevier, vol. 30(3), pages 186-193, September.
    12. 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.
    13. Chen, Sheng-Syan & Lee, Cheng-few & Shrestha, Keshab, 2003. "Futures hedge ratios: a review," The Quarterly Review of Economics and Finance, Elsevier, vol. 43(3), pages 433-465.
    14. In, Francis & Kim, Sangbae, 2006. "Multiscale hedge ratio between the Australian stock and futures markets: Evidence from wavelet analysis," Journal of Multinational Financial Management, Elsevier, pages 411-423.
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    Cited by:

    1. Tzagkarakis George & Dionysopoulos Thomas & Achim Alin, 2016. "Recurrence quantification analysis of denoised index returns via alpha-stable modeling of wavelet coefficients: detecting switching volatility regimes," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 20(1), pages 75-96, February.
    2. Mara Madaleno & Carlos Pinho, 2010. "Hedging Performance and Multiscale Relationships in the German Electricity Spot and Futures Markets," Journal of Risk and Financial Management, MDPI, Open Access Journal, vol. 3(1), pages 1-37, December.
    3. repec:eee:quaeco:v:64:y:2017:i:c:p:275-291 is not listed on IDEAS
    4. Bredin, Don & Conlon, Thomas & Potì, Valerio, 2015. "Does gold glitter in the long-run? Gold as a hedge and safe haven across time and investment horizon," International Review of Financial Analysis, Elsevier, vol. 41(C), pages 320-328.
    5. Power, Gabriel J. & Vedenov, Dmitry V., 2008. "The Shape of the Optimal Hedge Ratio: Modeling Joint Spot-Futures Prices using an Empirical Copula-GARCH Model," 2008 Conference, April 21-22, 2008, St. Louis, Missouri 37609, NCCC-134 Conference on Applied Commodity Price Analysis, Forecasting, and Market Risk Management.
    6. Vedenov, Dmitry V., 2008. "Application of Copulas to Estimation of Joint Crop Yield Distributions," 2008 Annual Meeting, July 27-29, 2008, Orlando, Florida 6264, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    7. Liu, Xiaochun & Jacobsen, Brian, 2011. "The Dynamic International Optimal Hedge Ratio," MPRA Paper 35260, University Library of Munich, Germany.
    8. repec:eee:finlet:v:21:y:2017:i:c:p:115-125 is not listed on IDEAS
    9. Kotkatvuori-Örnberg, Juha, 2016. "Dynamic conditional copula correlation and optimal hedge ratios with currency futures," International Review of Financial Analysis, Elsevier, vol. 47(C), pages 60-69.
    10. Thomas Conlon & John Cotter & Ramazan Gencay, 2012. "Commodity futures hedging, risk aversion and the hedging horizon," Working Papers 201218, Geary Institute, University College Dublin.

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