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Optimal hedging under departures from the cost-of-carry valuation: evidence from the Spanish stock index futures market

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Abstract

We provide an analytical discussion of the optimal hedge ratio under discrepancies between the futures market price and its theoretical valuation according to the cost-of-carry model. Assuming a geometric Brownian motion for spot prices, we model mispricing as a speci…c noise component in the dynamics of futures market prices. Empirical evidence on the model is provided for the Spanish stock index futures. Ex-ante simulations with actual data reveal that hedge ratios that take into account the estimated, time-varying, correlation between the common and specific disturbances, lead to using a lower number of futures contracts than under a systematic unit ratio, without generally losing hedging e¤ectiveness, while reducing transaction costs and capital requirements. Besides, the reduction in the number of contracts can be substantial over some periods. Finally, a meanvariance expected utility function suggests that the economic benefits from an optimal hedge are substantial.

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Paper provided by Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico in its series Documentos de Trabajo del ICAE with number 0223.

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Length: pages 27
Date of creation: 2002
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Handle: RePEc:ucm:doicae:0223

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Keywords: Optimal hedging; Futures contract; Stock Index; GARCH models; Mispricing.;

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  1. A. Craig MacKinlay, Krishna Ramaswamy, 1988. "Index-Futures Arbitrage and the Behavior of Stock Index Futures Prices," Review of Financial Studies, Society for Financial Studies, vol. 1(2), pages 137-158.
  2. Stoll, Hans R. & Whaley, Robert E., 1990. "The Dynamics of Stock Index and Stock Index Futures Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 25(04), pages 441-468, December.
  3. Marie D. Racine & Lucy F. Ackert, 1998. "Time-varying volatility in Canadian and U.S. stock index and index futures markets: A multivariate analysis," Working Paper 98-14, Federal Reserve Bank of Atlanta.
  4. Engle, Robert F & Kozicki, Sharon, 1993. "Testing for Common Features," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(4), pages 369-80, October.
  5. Chan, Kalok & Chan, K C & Karolyi, G Andrew, 1991. "Intraday Volatility in the Stock Index and Stock Index Futures Markets," Review of Financial Studies, Society for Financial Studies, vol. 4(4), pages 657-84.
  6. Garman, Mark B & Klass, Michael J, 1980. "On the Estimation of Security Price Volatilities from Historical Data," The Journal of Business, University of Chicago Press, vol. 53(1), pages 67-78, January.
  7. Engle, Robert F & Kozicki, Sharon, 1993. "Testing for Common Features: Reply," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(4), pages 393-95, October.
  8. 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(04), pages 535-551, December.
  9. 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.
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Cited by:
  1. Lee, Hsiang-Tai, 2010. "Regime switching correlation hedging," Journal of Banking & Finance, Elsevier, vol. 34(11), pages 2728-2741, November.
  2. Patrick McGlenchy & Paul Kofman, 2004. "Structurally Sound Dynamic Index Futures Hedging," Econometric Society 2004 Australasian Meetings 80, Econometric Society.
  3. Lee, Hsiang-Tai & Tsang, Wei-Lun, 2011. "Cross hedging single stock with American Depositary Receipt and stock index futures," Finance Research Letters, Elsevier, vol. 8(3), pages 146-157, September.
  4. Shackleton, Mark B. & Voukelatos, Nikolaos, 2013. "Hedging efficiency in the Greek options market before and after the financial crisis of 2008," Journal of Multinational Financial Management, Elsevier, vol. 23(1), pages 1-18.
  5. Christos Floros & Dimitrios Vougas, 2004. "Hedge ratios in Greek stock index futures market," Applied Financial Economics, Taylor & Francis Journals, vol. 14(15), pages 1125-1136.

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