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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.

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Paper provided by Centro de Economía Aplicada, Universidad de Chile in its series Documentos de Trabajo with number 242.

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Date of creation: 2007
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Handle: RePEc:edj:ceauch:242

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  1. Gagnon, Louis & Lypny, Gregory J. & McCurdy, Thomas H., 1998. "Hedging foreign currency portfolios," Journal of Empirical Finance, Elsevier, vol. 5(3), pages 197-220, September. [Downloadable!] (restricted)
  2. G McMillan, David, 2005. "Time-varying hedge ratios for non-ferrous metals prices," Resources Policy, Elsevier, vol. 30(3), pages 186-193, September. [Downloadable!] (restricted)
  3. Lien, Donald, 2005. "The use and abuse of the hedging effectiveness measure," International Review of Financial Analysis, Elsevier, vol. 14(2), pages 277-282. [Downloadable!] (restricted)
  4. Viviana Fernandez, 2005. "The International CAPM and a wavelet-based decomposition of Value at Risk," The Institute for International Integration Studies Discussion Paper Series iiisdp075, IIIS. [Downloadable!]
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  5. Viviana P. Fernandez, 2005. "The International CAPM and a Wavelet-Based Decomposition of Value at Risk," Studies in Nonlinear Dynamics & Econometrics, Berkeley Electronic Press, vol. 9(4). [Downloadable!]
  6. Giesecke, Kay, 2004. "Correlated default with incomplete information," Journal of Banking & Finance, Elsevier, vol. 28(7), pages 1521-1545, July. [Downloadable!] (restricted)
  7. Ederington, Louis H, 1979. "The Hedging Performance of the New Futures Markets," Journal of Finance, American Finance Association, vol. 34(1), pages 157-70, March. [Downloadable!] (restricted)
  8. 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. [Downloadable!]
  9. 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. [Downloadable!] (restricted)
  10. 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. [Downloadable!] (restricted)
  11. 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, vol. 16(4), pages 411-423, October. [Downloadable!] (restricted)
  12. Markus Junker & Alexander Szimayer & Niklas Wagner, 2004. "Nonlinear Term Structure Dependence: Copula Functions, Empirics, and Risk Implications," Econometrics 0401007, EconWPA. [Downloadable!]
  13. 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 623-30, November. [Downloadable!] (restricted)
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  1. Vedenov, Dmitry, 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). [Downloadable!]
  2. 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. [Downloadable!]
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