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Pricing of derivatives on commodity indices

Author

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  • Rauch, Johannes
  • Krayzler, Mikhail
  • Brunner, Bernhard
  • Zagst, Rudi

Abstract

This paper introduces a novel method for pricing commodity index derivatives consistently with market prices of derivatives on single commodities. We discuss the Black, mean-reversion and local volatility pricing models with special attention paid to the parameterization of volatility surfaces. We introduce an innovative two step regression approach for model calibration and present theoretical insights on futures correlations. In an empirical case study we perform the pricing of call and barrier options on the Dow Jones-UBS Commodity Index by replicating the index with a portfolio of correlated single commodities. The choice of these commodity instruments is based on their liquidity.

Suggested Citation

  • Rauch, Johannes & Krayzler, Mikhail & Brunner, Bernhard & Zagst, Rudi, 2013. "Pricing of derivatives on commodity indices," International Review of Financial Analysis, Elsevier, vol. 29(C), pages 143-151.
    • Handle: RePEc:eee:finana:v:29:y:2013:i:c:p:143-151
    DOI: 10.1016/j.irfa.2013.02.006
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    References listed on IDEAS

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    1. Anders B. Trolle & Eduardo S. Schwartz, 2009. "Unspanned Stochastic Volatility and the Pricing of Commodity Derivatives," The Review of Financial Studies, Society for Financial Studies, vol. 22(11), pages 4423-4461, November.
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    Cited by:

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    2. Farshid Mehrdoust & Idin Noorani & Wei Xu, 2023. "Uncertain energy model for electricity and gas futures with application in spark-spread option price," Fuzzy Optimization and Decision Making, Springer, vol. 22(1), pages 123-148, March.
    3. Chen, Jilong & Ewald, Christian-Oliver, 2017. "Pricing commodity futures options in the Schwartz multi factor model with stochastic volatility: An asymptotic method," International Review of Financial Analysis, Elsevier, vol. 52(C), pages 144-151.

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    More about this item

    Keywords

    Commodity index; Derivative pricing; Model calibration; Replication portfolio; Volatility surface;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • Q40 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Energy - - - General

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