IDEAS home Printed from https://ideas.repec.org/a/gam/jjrfmx/v17y2024i7p310-d1439431.html
   My bibliography  Save this article

Estimation of Optimal Hedge Ratio: A Wild Bootstrap Approach

Author

Listed:
  • Phong Minh Nguyen

    (Institute of Innovation, Science, and Sustainability, Federation University Australia, Ballarat, VIC 3350, Australia)

  • Darren Henry

    (Business School, La Trobe University, Bundoora, VIC 3086, Australia)

  • Jae H. Kim

    (Business School, La Trobe University, Bundoora, VIC 3086, Australia)

  • Sisira Colombage

    (Institute of Innovation, Science, and Sustainability, Federation University Australia, Ballarat, VIC 3350, Australia)

Abstract

This paper proposes a new approach to estimating the minimum variance hedge ratio (MVHR) based on the wild bootstrap and evaluates the approach using a spectrum of conservative to aggressive alternative hedging strategies associated with the percentiles of the MVHR’s bootstrap distribution. This approach is suggested to be more informative and effective relative to the conventional method of hedging solely based on a single-point estimate. Furthermore, the percentile-based MVHRs are robust to influential outliers, non-normality, and unknown forms of heteroskedasticity. The bootstrap percentile-based hedging strategies’ effectiveness is compared with those from the naïve method and the asymmetric DCC-GARCH model for a range of financial assets and commodities. The bootstrap percentile-based hedging technique is identified to outperform its alternatives in terms of hedging effectiveness, downside risk, and return variability, suggesting its superiority to other methods in both the literature and in practice.

Suggested Citation

  • Phong Minh Nguyen & Darren Henry & Jae H. Kim & Sisira Colombage, 2024. "Estimation of Optimal Hedge Ratio: A Wild Bootstrap Approach," JRFM, MDPI, vol. 17(7), pages 1-26, July.
  • Handle: RePEc:gam:jjrfmx:v:17:y:2024:i:7:p:310-:d:1439431
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1911-8074/17/7/310/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/1911-8074/17/7/310/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Büyükşahin, Bahattin & Robe, Michel A., 2014. "Speculators, commodities and cross-market linkages," Journal of International Money and Finance, Elsevier, vol. 42(C), pages 38-70.
    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. Glosten, Lawrence R & Jagannathan, Ravi & Runkle, David E, 1993. "On the Relation between the Expected Value and the Volatility of the Nominal Excess Return on Stocks," Journal of Finance, American Finance Association, vol. 48(5), pages 1779-1801, December.
    4. Liu, Wei-han, 2016. "A re-examination of maturity effect of energy futures price from the perspective of stochastic volatility," Energy Economics, Elsevier, vol. 56(C), pages 351-362.
    5. Davidson, Russell & Flachaire, Emmanuel, 2008. "The wild bootstrap, tamed at last," Journal of Econometrics, Elsevier, vol. 146(1), pages 162-169, September.
    6. Lien, Donald, 2009. "A note on the hedging effectiveness of GARCH models," International Review of Economics & Finance, Elsevier, vol. 18(1), pages 110-112, January.
    7. Lien, Donald & Shrestha, Keshab, 2008. "Hedging effectiveness comparisons: A note," International Review of Economics & Finance, Elsevier, vol. 17(3), pages 391-396.
    8. Phong Nguyen & Wei-han Liu, 2017. "Time-Varying Linkage of Possible Safe Haven Assets: A Cross-Market and Cross-asset Analysis," International Review of Finance, International Review of Finance Ltd., vol. 17(1), pages 43-76, March.
    9. Chih‐Chiang Hsu & Chih‐Ping Tseng & Yaw‐Huei Wang, 2008. "Dynamic hedging with futures: A copula‐based GARCH model," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 28(11), pages 1095-1116, November.
    10. Knez, Peter J & Ready, Mark J, 1997. "On the Robustness of Size and Book-to-Market in Cross-Sectional Regressions," Journal of Finance, American Finance Association, vol. 52(4), pages 1355-1382, September.
    11. Flachaire, Emmanuel, 2005. "Bootstrapping heteroskedastic regression models: wild bootstrap vs. pairs bootstrap," Computational Statistics & Data Analysis, Elsevier, vol. 49(2), pages 361-376, April.
    12. Chunrong Ai & Arjun Chatrath & Frank Song, 2006. "On the Comovement of Commodity Prices," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 88(3), pages 574-588.
    13. Yuan-Hung Hsu Ku & Ho-Chyuan Chen & Kuang-Hua Chen, 2007. "On the application of the dynamic conditional correlation model in estimating optimal time-varying hedge ratios," Applied Economics Letters, Taylor & Francis Journals, vol. 14(7), pages 503-509.
    14. 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.
    15. Kim, Jae H., 2006. "Wild bootstrapping variance ratio tests," Economics Letters, Elsevier, vol. 92(1), pages 38-43, July.
    16. Markopoulou, Chrysi E. & Skintzi, Vasiliki D. & Refenes, Apostolos-Paul N., 2016. "Realized hedge ratio: Predictability and hedging performance," International Review of Financial Analysis, Elsevier, vol. 45(C), pages 121-133.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ubukata, Masato, 2018. "Dynamic hedging performance and downside risk: Evidence from Nikkei index futures," International Review of Economics & Finance, Elsevier, vol. 58(C), pages 270-281.
    2. Čech, František & Zítek, Michal, 2022. "Marine fuel hedging under the sulfur cap regulations," Energy Economics, Elsevier, vol. 113(C).
    3. Sharma, Udayan & Karmakar, Madhusudan, 2023. "Measuring minimum variance hedging effectiveness: Traditional vs. sophisticated models," International Review of Financial Analysis, Elsevier, vol. 87(C).
    4. Kotkatvuori-Örnberg, Juha, 2016. "Dynamic conditional copula correlation and optimal hedge ratios with currency futures," International Review of Financial Analysis, Elsevier, vol. 47(C), pages 60-69.
    5. Jitmaneeroj, Boonlert, 2018. "The effect of the rebalancing horizon on the tradeoff between hedging effectiveness and transaction costs," International Review of Economics & Finance, Elsevier, vol. 58(C), pages 282-298.
    6. Fabio Filipozzi & Kersti Harkmann, 2014. "Currency hedge – walking on the edge?," Bank of Estonia Working Papers wp2014-5, Bank of Estonia, revised 10 Oct 2014.
    7. Асатуров К.Г. & Теплова Т.В., 2014. "Построение Коэффициентов Хеджирования Для Высоколиквидных Акций Российского Рынка На Основе Моделей Класса Garch," Журнал Экономика и математические методы (ЭММ), Центральный Экономико-Математический Институт (ЦЭМИ), vol. 50(1), pages 37-54, январь.
    8. Abakah, Emmanuel Joel Aikins & Tiwari, Aviral Kumar & Adekoya, Oluwasegun B. & Oteng-Abayie, Eric Fosu, 2023. "An analysis of the time-varying causality and dynamic correlation between green bonds and US gas prices," Technological Forecasting and Social Change, Elsevier, vol. 186(PA).
    9. Bessler, Wolfgang & Leonhardt, Alexander & Wolff, Dominik, 2016. "Analyzing hedging strategies for fixed income portfolios: A Bayesian approach for model selection," International Review of Financial Analysis, Elsevier, vol. 46(C), pages 239-256.
    10. Qianjie Geng & Yudong Wang, 2021. "Futures Hedging in CSI 300 Markets: A Comparison Between Minimum-Variance and Maximum-Utility Frameworks," Computational Economics, Springer;Society for Computational Economics, vol. 57(2), pages 719-742, February.
    11. Raza, Naveed & Ali, Sajid & Shahzad, Syed Jawad Hussain & Raza, Syed Ali, 2018. "Do commodities effectively hedge real estate risk? A multi-scale asymmetric DCC approach," Resources Policy, Elsevier, vol. 57(C), pages 10-29.
    12. Kunlapath Sukcharoen & Hankyeung Choi & David J. Leatham, 2015. "Optimal gasoline hedging strategies using futures contracts and exchange-traded funds," Applied Economics, Taylor & Francis Journals, vol. 47(32), pages 3482-3498, July.
    13. Chang, Chia-Lin & González-Serrano, Lydia & Jimenez-Martin, Juan-Angel, 2013. "Currency hedging strategies using dynamic multivariate GARCH," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 94(C), pages 164-182.
    14. Hammoudeh, Shawkat M. & Yuan, Yuan & McAleer, Michael & Thompson, Mark A., 2010. "Precious metals-exchange rate volatility transmissions and hedging strategies," International Review of Economics & Finance, Elsevier, vol. 19(4), pages 633-647, October.
    15. Annastiina Silvennoinen & Susan Thorp, 2016. "Crude Oil and Agricultural Futures: An Analysis of Correlation Dynamics," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 36(6), pages 522-544, June.
    16. Jin, Jiayu & Han, Liyan & Wu, Lei & Zeng, Hongchao, 2020. "The hedging effect of green bonds on carbon market risk," International Review of Financial Analysis, Elsevier, vol. 71(C).
    17. Tarchella, Salma & Dhaoui, Abderrazak, 2021. "Chinese jigsaw: Solving the equity market response to the COVID-19 crisis: Do alternative asset provide effective hedging performance?," Research in International Business and Finance, Elsevier, vol. 58(C).
    18. Pavlidis Efthymios G & Paya Ivan & Peel David A, 2010. "Specifying Smooth Transition Regression Models in the Presence of Conditional Heteroskedasticity of Unknown Form," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 14(3), pages 1-40, May.
    19. Aragó, Vicent & Salvador, Enrique, 2011. "Sudden changes in variance and time varying hedge ratios," European Journal of Operational Research, Elsevier, vol. 215(2), pages 393-403, December.
    20. Junttila, Juha & Pesonen, Juho & Raatikainen, Juhani, 2018. "Commodity market based hedging against stock market risk in times of financial crisis: The case of crude oil and gold," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 56(C), pages 255-280.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jjrfmx:v:17:y:2024:i:7:p:310-:d:1439431. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.