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Principal components analysis for correlated curves and seasonal commodities: The case of the petroleum market

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  • Carlos Tolmasky
  • Dmitry Hindanov

Abstract

This article presents a family of term structure models that can be applied to value contingent claims in multicommodity and seasonal markets. We apply the framework to the futures contracts on crude and heating oils trading on NYMEX. We show how to deal with the problem of having to value products depending on the “whole” market, such as spread options on contracts on a single commodity maturing at different times (time‐spreads) or spread options on the added value of the products derived from the raw commodity (crack spreads). Also, we show how to build term structure models for a commodity that experiences seasonality, such as heating oil. © 2002 Wiley Periodicals, Inc. Jrl Fut Mark 22:1019–1035, 2002

Suggested Citation

  • Carlos Tolmasky & Dmitry Hindanov, 2002. "Principal components analysis for correlated curves and seasonal commodities: The case of the petroleum market," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 22(11), pages 1019-1035, November.
    • Handle: RePEc:wly:jfutmk:v:22:y:2002:i:11:p:1019-1035
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    Cited by:

    1. Horváth, Lajos & Liu, Zhenya & Rice, Gregory & Wang, Shixuan, 2020. "A functional time series analysis of forward curves derived from commodity futures," International Journal of Forecasting, Elsevier, vol. 36(2), pages 646-665.
    2. Roger Lord & Antoon Pelsser, 2007. "Level-Slope-Curvature - Fact or Artefact?," Applied Mathematical Finance, Taylor & Francis Journals, vol. 14(2), pages 105-130.
    3. Zolotko, Mikhail & Okhrin, Ostap, 2014. "Modelling the general dependence between commodity forward curves," Energy Economics, Elsevier, vol. 43(C), pages 284-296.
    4. Atkins, Philip J. & Cummins, Mark, 2023. "Improved scalability and risk factor proxying with a two-step principal component analysis for multi-curve modelling," European Journal of Operational Research, Elsevier, vol. 304(3), pages 1331-1348.
    5. Liu, Yong-Jun & Yang, Guo-Sen & Zhang, Wei-Guo, 2024. "A novel regret-rejoice cross-efficiency approach for energy stock portfolio optimization," Omega, Elsevier, vol. 126(C).
    6. Wolfgang Aussenegg & Lukas Goetz & Ranko Jelic, 2015. "Common Factors in the Performance of European Corporate Bonds – Evidence before and after the Financial Crisis," European Financial Management, European Financial Management Association, vol. 21(2), pages 265-308, March.
    7. Carolina Effio Saldivar & José Herskovits & Juan Pablo Luna & Claudia Sagastizábal, 2019. "Multidimensional Calibration Of Crude Oil And Refined Products Via Semidefinite Programming Techniques," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 22(01), pages 1-31, February.
    8. Nicola Secomandi & Guoming Lai & François Margot & Alan Scheller-Wolf & Duane J. Seppi, 2015. "Merchant Commodity Storage and Term-Structure Model Error," Manufacturing & Service Operations Management, INFORMS, vol. 17(3), pages 302-320, July.
    9. Chunyan He & Ding Li & Qiong Ma & Daichun Yi, 2022. "City Bias: Affordable Housing Accessibility Assessment—Evidence From 153 Prefectural Cities in China," SAGE Open, , vol. 12(4), pages 21582440221, December.
    10. Andrés García-Mirantes & Beatriz Larraz & Javier Población, 2020. "A Proposal to Fix the Number of Factors on Modeling the Dynamics of Futures Contracts on Commodity Prices," Mathematics, MDPI, vol. 8(6), pages 1-13, June.
    11. Secomandi, Nicola & Seppi, Duane J., 2014. "Real Options and Merchant Operations of Energy and Other Commodities," Foundations and Trends(R) in Technology, Information and Operations Management, now publishers, vol. 6(3-4), pages 161-331, July.

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