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Optimal hedging with a regime‐switching time‐varying correlation GARCH model

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  • Hsiang‐Tai Lee
  • Jonathan Yoder

Abstract

The authors develop a Markov regime‐switching time‐varying correlation generalized autoregressive conditional heteroscedasticity (RS‐TVC GARCH) model for estimating optimal hedge ratios. The RS‐TVC nests within it both the time‐varying correlation GARCH (TVC) and the constant correlation GARCH (CC). Point estimates based on the Nikkei 225 and the Hang Seng index futures data show that the RS‐TVC outperforms the CC and the TVC both in‐ and out‐of‐sample in terms of variance reduction. Based on H. White's (2000) reality check, the null hypothesis of no improvement of the RS‐TVC over the TVC is rejected for the Nikkei 225 index contract but is not rejected for the Hang Seng index contract. © 2007 Wiley Periodicals, Inc. Jrl Fut Mark 27:495–516, 2007

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  • Hsiang‐Tai Lee & Jonathan Yoder, 2007. "Optimal hedging with a regime‐switching time‐varying correlation GARCH model," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 27(5), pages 495-516, May.
    • Handle: RePEc:wly:jfutmk:v:27:y:2007:i:5:p:495-516
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    1. Martínez, Beatriz & Torró, Hipòlit, 2018. "Hedging spark spread risk with futures," Energy Policy, Elsevier, vol. 113(C), pages 731-746.
    2. Martínez, Beatriz & Torró, Hipòlit, 2015. "European natural gas seasonal effects on futures hedging," Energy Economics, Elsevier, vol. 50(C), pages 154-168.
    3. Lee, Hsiang-Tai, 2022. "Regime-switching angular correlation diversification," Finance Research Letters, Elsevier, vol. 50(C).
    4. François, Pascal & Gauthier, Geneviève & Godin, Frédéric, 2014. "Optimal hedging when the underlying asset follows a regime-switching Markov process," European Journal of Operational Research, Elsevier, vol. 237(1), pages 312-322.
    5. Chang, Kuang-Liang, 2022. "Do economic policy uncertainty indices matter in joint volatility cycles between U.S. and Japanese stock markets?," Finance Research Letters, Elsevier, vol. 47(PA).
    6. Cifarelli, Giulio & Paladino, Giovanna, 2015. "A dynamic model of hedging and speculation in the commodity futures markets," Journal of Financial Markets, Elsevier, vol. 25(C), pages 1-15.
    7. Philip, Dennis & Shi, Yukun, 2016. "Optimal hedging in carbon emission markets using Markov regime switching models," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 43(C), pages 1-15.
    8. Aleksander Olstad & George Filis & Stavros Degiannakis, 2021. "Oil and currency volatilities: Co‐movements and hedging opportunities," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 26(2), pages 2351-2374, April.
    9. 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.
    10. Park, Jin Suk & Shi, Yukun, 2017. "Hedging and speculative pressures and the transition of the spot-futures relationship in energy and metal markets," International Review of Financial Analysis, Elsevier, vol. 54(C), pages 176-191.
    11. Bauwens, Luc & Otranto, Edoardo, 2020. "Nonlinearities and regimes in conditional correlations with different dynamics," Journal of Econometrics, Elsevier, vol. 217(2), pages 496-522.
    12. Alizadeh, Amir H. & Huang, Chih-Yueh & Marsh, Ian W., 2021. "Modelling the volatility of TOCOM energy futures: A regime switching realised volatility approach," Energy Economics, Elsevier, vol. 93(C).
    13. Lin, Ling & Zhou, Zhongbao & Liu, Qing & Jiang, Yong, 2019. "Risk transmission between natural gas market and stock markets: portfolio and hedging strategy analysis," Finance Research Letters, Elsevier, vol. 29(C), pages 245-254.
    14. Kuang-Liang Chang, 2011. "The optimal value-at-risk hedging strategy under bivariate regime switching ARCH framework," Applied Economics, Taylor & Francis Journals, vol. 43(21), pages 2627-2640.
    15. Yudong Wang & Chongfeng Wu & Li Yang, 2015. "Hedging with Futures: Does Anything Beat the Naïve Hedging Strategy?," Management Science, INFORMS, vol. 61(12), pages 2870-2889, December.
    16. Lin, Ling & Zhou, Zhongbao & Jiang, Yong & Ou, Yangchen, 2021. "Risk spillovers and hedge strategies between global crude oil markets and stock markets: Do regime switching processes combining long memory and asymmetry matter?," The North American Journal of Economics and Finance, Elsevier, vol. 57(C).
    17. Manolis Kavussanos & Ilias Visvikis, 2008. "Hedging effectiveness of the Athens stock index futures contracts," The European Journal of Finance, Taylor & Francis Journals, vol. 14(3), pages 243-270.
    18. Kao, Wei-Shun & Lin, Chu-Hsiung & Changchien, Chang-Cheng & Wu, Chien-Hui, 2017. "Return distribution, leverage effect and spot-futures spread on the hedging effectiveness," Finance Research Letters, Elsevier, vol. 22(C), pages 158-162.
    19. Pan, Zhiyuan & Wang, Yudong & Yang, Li, 2014. "Hedging crude oil using refined product: A regime switching asymmetric DCC approach," Energy Economics, Elsevier, vol. 46(C), pages 472-484.
    20. Hung, Jui-Cheng & Yi-Hsien Wang, & Chang, Matthew C. & Shih, Kuang-Hsun & Hsiu-Hsueh Kao,, 2011. "Minimum variance hedging with bivariate regime-switching model for WTI crude oil," Energy, Elsevier, vol. 36(5), pages 3050-3057.
    21. Lee, Hsiang-Tai & Lee, Chien-Chiang, 2022. "A regime-switching real-time copula GARCH model for optimal futures hedging," International Review of Financial Analysis, Elsevier, vol. 84(C).
    22. Panos K. Pouliasis & Ilias D. Visvikis & Nikos C. Papapostolou & Alexander A. Kryukov, 2020. "A novel risk management framework for natural gas markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 40(3), pages 430-459, March.
    23. Donald Lien & Hsiang‐Tai Lee & Her‐Jiun Sheu, 2018. "Hedging systematic risk in the commodity market with a regime‐switching multivariate rotated generalized autoregressive conditional heteroskedasticity model," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 38(12), pages 1514-1532, December.
    24. Lee, Chien-Chiang & Lee, Hsiang-Tai, 2023. "Optimal portfolio diversification with a multi-chain regime-switching spillover GARCH model," Global Finance Journal, Elsevier, vol. 55(C).
    25. Hongfeng Peng & Xiaoyu Tan & Yi Chen, 2016. "Discretion of Dynamic Position Adjustment in Hedging Strategy," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(2), pages 86-101, June.

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