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Valuation of commodity derivatives in a new multi-factor model


  • Xuemin Yan


This paper extends existing commodity valuation models to allow for stochastic volatility and simultaneous jumps in the spot price and spot volatility. Closed-form valuation formulas for forwards, futures, futures options, geometric Asian options and commodity-linked bonds are obtained using the Heston (1993) and Bakshi and Madan (2000) methodology. Stochastic volatility and jumps do not affect the futures price at a given point in time. However, numerical examples indicate that they play important roles in pricing options on futures. Copyright Kluwer Academic Publishers 2002

Suggested Citation

  • Xuemin Yan, 2002. "Valuation of commodity derivatives in a new multi-factor model," Review of Derivatives Research, Springer, vol. 5(3), pages 251-271, October.
  • Handle: RePEc:kap:revdev:v:5:y:2002:i:3:p:251-271
    DOI: 10.1023/A:1020871616158

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    References listed on IDEAS

    1. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
    2. David Heath & Robert Jarrow & Andrew Morton, 2008. "Bond Pricing And The Term Structure Of Interest Rates: A New Methodology For Contingent Claims Valuation," World Scientific Book Chapters,in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 13, pages 277-305 World Scientific Publishing Co. Pte. Ltd..
    3. Bakshi, Gurdip & Cao, Charles & Chen, Zhiwu, 2000. "Pricing and hedging long-term options," Journal of Econometrics, Elsevier, vol. 94(1-2), pages 277-318.
    4. Gibson, Rajna & Schwartz, Eduardo S, 1990. " Stochastic Convenience Yield and the Pricing of Oil Contingent Claims," Journal of Finance, American Finance Association, vol. 45(3), pages 959-976, July.
    5. Cox, John C. & Ingersoll, Jonathan Jr. & Ross, Stephen A., 1981. "The relation between forward prices and futures prices," Journal of Financial Economics, Elsevier, vol. 9(4), pages 321-346, December.
    6. Black, Fischer, 1976. "The pricing of commodity contracts," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 167-179.
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    Cited by:

    1. Wu, Yang-Che & Chung, San-Lin, 2010. "Catastrophe risk management with counterparty risk using alternative instruments," Insurance: Mathematics and Economics, Elsevier, vol. 47(2), pages 234-245, October.
    2. Delphine Lautier & Alain Galli, 2010. "Dynamic hedging strategies: an application to the crude oil market," Post-Print halshs-00640802, HAL.
    3. repec:eee:eneeco:v:67:y:2017:i:c:p:182-201 is not listed on IDEAS
    4. repec:kap:rqfnac:v:48:y:2017:i:3:d:10.1007_s11156-016-0569-x is not listed on IDEAS
    5. repec:kap:revdev:v:20:y:2017:i:2:d:10.1007_s11147-016-9126-y is not listed on IDEAS
    6. repec:dau:papers:123456789/5470 is not listed on IDEAS
    7. Back, Janis & Prokopczuk, Marcel & Rudolf, Markus, 2013. "Seasonality and the valuation of commodity options," Journal of Banking & Finance, Elsevier, vol. 37(2), pages 273-290.
    8. repec:dau:papers:123456789/95 is not listed on IDEAS
    9. Chou-Wen Wang & Ting-Yi Wu, 2007. "An Alternative Formulation for the Pricing of Stock Index Futures: Theoretical and Empirical Perspectives," International Journal of Business and Economics, College of Business and College of Finance, Feng Chia University, Taichung, Taiwan, vol. 6(2), pages 121-134, August.
    10. Rodriguez, J.C., 2007. "A Preference-Free Formula to Value Commodity Derivatives," Discussion Paper 2007-92, Tilburg University, Center for Economic Research.
    11. Anh Ngoc Lai & Constantin Mellios, 2016. "Valuation of commodity derivatives with an unobservable convenience yield," Post-Print halshs-01183166, HAL.


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