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On the Stationarity of Futures Hedge Ratios

Author

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  • Degiannakis, Stavros
  • Floros, Christos
  • Salvador, Enrique
  • Vougas, Dimitrios

Abstract

Stationarity of hedge ratios can be viewed as a first step for portfolio hedging since it represents that the sensitivity of spot and futures returns follow a process whose main characteristics do not depend on time. However, we provide evidence that the hedge ratios of the main European stock indices are better described as a combination of two different mean-reverting stationary processes, which depend on the state of the market. Also, when analysing the dynamics of hedge ratios at intraday level, results display a similar picture suggesting that intraday dynamics of the hedge between spot and futures are driven mainly by market participants with similar perspectives of the investment horizon.

Suggested Citation

  • Degiannakis, Stavros & Floros, Christos & Salvador, Enrique & Vougas, Dimitrios, 2020. "On the Stationarity of Futures Hedge Ratios," MPRA Paper 102907, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:102907
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    File URL: https://mpra.ub.uni-muenchen.de/102907/1/MPRA_paper_102907.pdf
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    References listed on IDEAS

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    1. Moschini, GianCarlo & Myers, Robert J., 2002. "Testing for constant hedge ratios in commodity markets: a multivariate GARCH approach," Journal of Empirical Finance, Elsevier, vol. 9(5), pages 589-603, December.
    2. Camacho, Maximo, 2011. "Markov-switching models and the unit root hypothesis in real US GDP," Economics Letters, Elsevier, vol. 112(2), pages 161-164, August.
    3. Cui, Yan & Feng, Yun, 2020. "Composite hedge and utility maximization for optimal futures hedging," International Review of Economics & Finance, Elsevier, vol. 68(C), pages 15-32.
    4. Engle, Robert F. & Kroner, Kenneth F., 1995. "Multivariate Simultaneous Generalized ARCH," Econometric Theory, Cambridge University Press, vol. 11(1), pages 122-150, February.
    5. Yiuman Tse & Michael R. Williams, 2013. "Does Index Speculation Impact Commodity Prices? An Intraday Analysis," The Financial Review, Eastern Finance Association, vol. 48(3), pages 365-383, August.
    6. A. G. Malliaris & Jorge Urrutia, 1991. "Tests of random walk of hedge ratios and measures of hedging effectiveness for stock indexes and foreign currencies," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 11(1), pages 55-68, February.
    7. Timmermann, Allan, 2000. "Moments of Markov switching models," Journal of Econometrics, Elsevier, vol. 96(1), pages 75-111, May.
    8. 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.
    9. 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.
    10. 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.
    11. Chortareas, Georgios E. & Kapetanios, George & Shin, Yongcheol, 2002. "Nonlinear mean reversion in real exchange rates," Economics Letters, Elsevier, vol. 77(3), pages 411-417, November.
    12. Floros, Christos & Salvador, Enrique, 2014. "Calendar anomalies in cash and stock index futures: International evidence," Economic Modelling, Elsevier, vol. 37(C), pages 216-223.
    13. John Cotter & Jim Hanly, 2012. "Hedging effectiveness under conditions of asymmetry," The European Journal of Finance, Taylor & Francis Journals, vol. 18(2), pages 135-147, February.
    14. Qu, Hui & Wang, Tianyang & Zhang, Yi & Sun, Pengfei, 2019. "Dynamic hedging using the realized minimum-variance hedge ratio approach – Examination of the CSI 300 index futures," Pacific-Basin Finance Journal, Elsevier, vol. 57(C).
    15. 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.
    16. 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.
    17. Yu‐Sheng Lai & Her‐Jiun Sheu & Hsiang‐Tai Lee, 2017. "A Multivariate Markov Regime‐Switching High‐Frequency‐Based Volatility Model for Optimal Futures Hedging," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 37(11), pages 1124-1140, November.
    18. Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996. "Efficient Tests for an Autoregressive Unit Root," Econometrica, Econometric Society, vol. 64(4), pages 813-836, July.
    19. Tae H. Park & Lorne N. Switzer, 1995. "Bivariate GARCH estimation of the optimal hedge ratios for stock index futures: A note," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 15(1), pages 61-67, February.
    20. Lien, Donald & Yang, Li, 2004. "Alternative settlement methods and Australian individual share futures contracts," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 14(5), pages 473-490, December.
    21. Sollis, Robert & Leybourne, Stephen & Newbold, Paul, 2002. "Tests for Symmetric and Asymmetric Nonlinear Mean Reversion in Real Exchange Rates," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 34(3), pages 686-700, August.
    22. Reinhold Hafner & Martin Wallmeier, 2007. "Volatility as an Asset Class: European Evidence," The European Journal of Finance, Taylor & Francis Journals, vol. 13(7), pages 621-644.
    23. 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 109-124, April-Jun.
    24. 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.
    25. Billio, Monica & Casarin, Roberto & Osuntuyi, Anthony, 2018. "Markov switching GARCH models for Bayesian hedging on energy futures markets," Energy Economics, Elsevier, vol. 70(C), pages 545-562.
    26. 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.
    27. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
    28. Hall, Stephen G & Psaradakis, Zacharias & Sola, Martin, 1999. "Detecting Periodically Collapsing Bubbles: A Markov-Switching Unit Root Test," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 14(2), pages 143-154, March-Apr.
    29. 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.
    30. Stavros Degiannakis & Christos Floros, 2010. "Hedge Ratios in South African Stock Index Futures," Journal of Emerging Market Finance, Institute for Financial Management and Research, vol. 9(3), pages 285-304, December.
    31. Wang, Yudong & Geng, Qianjie & Meng, Fanyi, 2019. "Futures hedging in crude oil markets: A comparison between minimum-variance and minimum-risk frameworks," Energy, Elsevier, vol. 181(C), pages 815-826.
    32. Enrique Salvador & Vicent Aragó, 2014. "Measuring Hedging Effectiveness of Index Futures Contracts: Do Dynamic Models Outperform Static Models? A Regime‐Switching Approach," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 34(4), pages 374-398, April.
    33. Mark J. Holmes, 2010. "Are Asia‐Pacific Real Exchange Rates Stationary? A Regime‐Switching Perspective," Pacific Economic Review, Wiley Blackwell, vol. 15(2), pages 189-203, May.
    34. Christos Floros & Enrique Salvador, 2016. "Volatility, trading volume and open interest in futures markets," International Journal of Managerial Finance, Emerald Group Publishing, vol. 12(5), pages 629-653, October.
    35. Conrad, Jennifer & Gultekin, Mustafa N & Kaul, Gautam, 1991. "Asymmetric Predictability of Conditional Variances," Review of Financial Studies, Society for Financial Studies, vol. 4(4), pages 597-622.
    36. Yu‐Sheng Lai & Donald Lien, 2017. "A Bivariate High‐Frequency‐Based Volatility Model for Optimal Futures Hedging," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 37(9), pages 913-929, September.
    37. Donald Lien, 2012. "A note on the performance of regime switching hedge strategy," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 32(4), pages 389-396, April.
    38. Robert Ferguson & Dean Leistikow, 1998. "Are regression approach futures hedge ratios stationary?," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 18(7), pages 851-866, October.
    39. Yang, Minxian, 2000. "Some Properties Of Vector Autoregressive Processes With Markov-Switching Coefficients," Econometric Theory, Cambridge University Press, vol. 16(1), pages 23-43, February.
    40. Theoharry Grammatikos & Anthony Saunders, 1983. "Stability and the hedging performance of foreign currency futures," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 3(3), pages 295-305, September.
    41. Levin, Andrew & Lin, Chien-Fu & James Chu, Chia-Shang, 2002. "Unit root tests in panel data: asymptotic and finite-sample properties," Journal of Econometrics, Elsevier, vol. 108(1), pages 1-24, May.
    42. Dean Leistikow & Ren-Raw Chen, 2019. "Carry Cost Rate Regimes and Futures Hedge Ratio Variation," Journal of Risk and Financial Management, MDPI, Open Access Journal, vol. 12(2), pages 1-17, May.
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    More about this item

    Keywords

    Futures; Hedge Ratios; Intra-day Data; Multivariate Volatility Modelling; Regime-Switching; Stationarity.;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets

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