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Pricing average options on commodities

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  • Kenichiro Shiraya
  • Akihiko Takahashi

Abstract

This study proposes a new approximation formula for pricing average options on commodities under a stochastic volatility environment. In particular, it derives an option pricing formula under Heston and an extended λ‐SABR stochastic volatility models (which includes an extended SABR model as a special case). Moreover, numerical examples support the accuracy of the proposed average option pricing formula. © 2010 Wiley Periodicals, Inc. Jrl Fut Mark Mark 31:407–439, 2011

Suggested Citation

  • Kenichiro Shiraya & Akihiko Takahashi, 2011. "Pricing average options on commodities," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 31(5), pages 407-439, May.
    • Handle: RePEc:wly:jfutmk:v:31:y:2011:i:5:p:407-439
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    Cited by:

    1. Kenichiro Shiraya & Akihiko Takahashi, 2015. "An Asymptotic Expansion for Local-Stochastic Volatility with Jump Models (Forthcoming in Stochastics)," CARF F-Series CARF-F-377, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    2. Fred Espen Benth, 2021. "Pricing of Commodity and Energy Derivatives for Polynomial Processes," Mathematics, MDPI, vol. 9(2), pages 1-30, January.
    3. Kenichiro Shiraya & Akihiko Takahashi, 2015. "Pricing Average and Spread Options under Local-Stochastic Volatility Jump-Diffusion Models," CARF F-Series CARF-F-365, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    4. Colin Turfus & Alexander Shubert, 2017. "ANALYTIC PRICING OF CoCo BONDS," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 20(05), pages 1-26, August.
    5. Kenichiro Shiraya & Akihiko Takahashi, 2015. "An Asymptotic Expansion for Local-Stochastic Volatility with Jump Models," CIRJE F-Series CIRJE-F-998, CIRJE, Faculty of Economics, University of Tokyo.
    6. Nicolas Langren'e & Geoffrey Lee & Zili Zhu, 2015. "Switching to non-affine stochastic volatility: A closed-form expansion for the Inverse Gamma model," Papers 1507.02847, arXiv.org, revised Mar 2016.
    7. Nicolas Langrené & Geoffrey Lee & Zili Zhu, 2016. "Switching To Nonaffine Stochastic Volatility: A Closed-Form Expansion For The Inverse Gamma Model," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 19(05), pages 1-37, August.
    8. Kenichiro Shiraya & Akihiko Takahashi, 2015. "Pricing Average and Spread Options under Local-Stochastic Volatility Jump-Diffusion Models," CIRJE F-Series CIRJE-F-980, CIRJE, Faculty of Economics, University of Tokyo.
    9. Akihiko Takahashi & Toshihiro Yamada, 2014. "On Error Estimates for Asymptotic Expansions with Malliavin Weights -Application to Stochastic Volatility Model- (Revised version of CARF-F-324; Forthcoming in "Mathematics of Operations Research," CARF F-Series CARF-F-347, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo, revised Sep 2014.
    10. Akihiko Takahashi & Yukihiro Tsuzuki, 2014. "A New Improvement Scheme for Approximation Methods of Probability Density Functions," CARF F-Series CARF-F-350, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    11. Kenichiro Shiraya & Akihiko Takahashi, 2017. "Pricing Average and Spread Options under Local-Stochastic Volatility Jump-Diffusion Models (Revised version of CARF-F-365 : Subsequently published in Mathematics of Operations Research)," CARF F-Series CARF-F-426, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.

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