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Modelling the general dependence between commodity forward curves

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  • Zolotko, Mikhail
  • Okhrin, Ostap

Abstract

This study proposes a novel framework for the joint modelling of commodity forward curves. Its key contribution is twofold. First, we introduce a family of dynamic conditional correlation models based on hierarchical Archimedean copulae (HAC-DCC), which are flexible but parsimonious instruments that capture a wide range of dynamic dependencies. Second, we apply these models in the context of commodity forward curves as part of the framework. An extensive Value-at-Risk analysis shows that certain HAC-DCC models consistently outperform other introduced benchmarks in terms of the preciseness of their out-of-sample distribution forecasts of the returns of various commodity futures portfolios. This shows that the proposed modelling framework, as one of its possible applications, can be a useful and convenient risk management tool.

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  • Zolotko, Mikhail & Okhrin, Ostap, 2014. "Modelling the general dependence between commodity forward curves," Energy Economics, Elsevier, vol. 43(C), pages 284-296.
  • Handle: RePEc:eee:eneeco:v:43:y:2014:i:c:p:284-296
    DOI: 10.1016/j.eneco.2014.02.019
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    Cited by:

    1. Alexander, Carol & Han, Yang & Meng, Xiaochun, 2023. "Static and dynamic models for multivariate distribution forecasts: Proper scoring rule tests of factor-quantile versus multivariate GARCH models," International Journal of Forecasting, Elsevier, vol. 39(3), pages 1078-1096.
    2. Yang, Lu & Cai, Xiao Jing & Li, Mengling & Hamori, Shigeyuki, 2015. "Modeling dependence structures among international stock markets: Evidence from hierarchical Archimedean copulas," Economic Modelling, Elsevier, vol. 51(C), pages 308-314.
    3. Wanat, Stanisław & Papież, Monika & Śmiech, Sławomir, 2014. "The conditional dependence structure between precious metals: a copula-GARCH approach," MPRA Paper 56664, University Library of Munich, Germany.
    4. Mark Higgins, 2017. "A Two Factor Forward Curve Model with Stochastic Volatility for Commodity Prices," Papers 1708.01665, arXiv.org, revised Aug 2017.
    5. Monika Papież & Stanisław Wanat & Sławomir Śmiech, 2016. "In Search of Hedges and Safe Havens in Global Financial Markets," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 17(3), pages 557-574, September.
    6. Ouyang, Zi-sheng & Liu, Meng-tian & Huang, Su-su & Yao, Ting, 2022. "Does the source of oil price shocks matter for the systemic risk?," Energy Economics, Elsevier, vol. 109(C).
    7. Tamakoshi, Go & Hamori, Shigeyuki, 2014. "The conditional dependence structure of insurance sector credit default swap indices," The North American Journal of Economics and Finance, Elsevier, vol. 30(C), pages 122-132.
    8. Antonio Díaz & Gonzalo García-Donato & Andrés Mora-Valencia, 2019. "Quantifying Risk in Traditional Energy and Sustainable Investments," Sustainability, MDPI, vol. 11(3), pages 1-22, January.
    9. Carlos Gonz�lez-Pedraz & Manuel Moreno & Juan Ignacio Pe�a, 2015. "Portfolio selection with commodities under conditional copulas and skew preferences," Quantitative Finance, Taylor & Francis Journals, vol. 15(1), pages 151-170, January.

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    More about this item

    Keywords

    Commodity forward curves; Multivariate GARCH; Hierarchical Archimedean copula; Value-at-risk;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • Q40 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Energy - - - General

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