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The Mib30 index and futures relationship: econometric analysis and implications for hedging

  • Francesco Pattarin
  • Riccardo Ferretti

The interactions between the Mib30 stock market index and its future contract are examined. Using daily data for the 1994-2002 period, it is found that the cost-of-carry model holds as an equilibrium relationship between spot and futures prices. Deviations from equilibrium are corrected by movements in the spot market, but cross-market dynamics are also important in the short run. We model the time-varying volatility of daily returns' as an autoregressive conditional heteroscedastic process; this model used to estimate minimum-variance hedge ratios. In- and out-of-sample comparisons with static hedging show that, by carefully choosing the ARCH specification, a significant improvement in variance reduction can be achieved.

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Article provided by Taylor & Francis Journals in its journal Applied Financial Economics.

Volume (Year): 14 (2004)
Issue (Month): 18 ()
Pages: 1281-1289

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Handle: RePEc:taf:apfiec:v:14:y:2004:i:18:p:1281-1289
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  1. Stephen G. Cecchetti & Robert E. Cumby & Stephen Figlewski, 1986. "Estimation of the optimal futures hedge," Research Working Paper 86-10, Federal Reserve Bank of Kansas City.
  2. Donald Lien & Y. K. Tse & Albert Tsui, 2002. "Evaluating the hedging performance of the constant-correlation GARCH model," Applied Financial Economics, Taylor & Francis Journals, vol. 12(11), pages 791-798.
  3. Garbade, Kenneth D & Silber, William L, 1983. "Price Movements and Price Discovery in Futures and Cash Markets," The Review of Economics and Statistics, MIT Press, vol. 65(2), pages 289-97, May.
  4. Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992. "Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 159-178.
  5. Bollerslev, Tim & Chou, Ray Y. & Kroner, Kenneth F., 1992. "ARCH modeling in finance : A review of the theory and empirical evidence," Journal of Econometrics, Elsevier, vol. 52(1-2), pages 5-59.
  6. Baillie, Richard T & Myers, Robert J, 1991. "Bivariate GARCH Estimation of the Optimal Commodity Futures Hedge," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 6(2), pages 109-24, April-Jun.
  7. Engle, Robert F & Granger, Clive W J, 1987. "Co-integration and Error Correction: Representation, Estimation, and Testing," Econometrica, Econometric Society, vol. 55(2), pages 251-76, March.
  8. 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.
  9. Granger, C W J, 1969. "Investigating Causal Relations by Econometric Models and Cross-Spectral Methods," Econometrica, Econometric Society, vol. 37(3), pages 424-38, July.
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