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Long term spread option valuation and hedging

Author

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  • Dempster, M.A.H.
  • Medova, Elena
  • Tang, Ke

Abstract

This paper investigates the valuation and hedging of spread options on two commodity prices which in the long run are in dynamic equilibrium (i.e., cointegrated). The spread exhibits properties different from its two underlying commodity prices and should therefore be modelled directly. This approach offers significant advantages relative to the traditional two price methods since the correlation between two asset returns is notoriously hard to model. In this paper, we propose a two factor model for the spot spread and develop pricing and hedging formulae for options on spot and futures spreads. Two examples of spreads in energy markets - the crack spread between heating oil and WTI crude oil and the location spread between Brent blend and WTI crude oil - are analyzed to illustrate the results.

Suggested Citation

  • Dempster, M.A.H. & Medova, Elena & Tang, Ke, 2008. "Long term spread option valuation and hedging," Journal of Banking & Finance, Elsevier, vol. 32(12), pages 2530-2540, December.
  • Handle: RePEc:eee:jbfina:v:32:y:2008:i:12:p:2530-2540
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Cartea, Álvaro & González-Pedraz, Carlos, 2012. "How much should we pay for interconnecting electricity markets? A real options approach," Energy Economics, Elsevier, vol. 34(1), pages 14-30.
    2. Liu, Peng (Peter) & Tang, Ke, 2010. "No-arbitrage conditions for storable commodities and the modeling of futures term structures," Journal of Banking & Finance, Elsevier, vol. 34(7), pages 1675-1687, July.
    3. Bedendo, Mascia & Campolongo, Francesca & Joossens, Elisabeth & Saita, Francesco, 2010. "Pricing multiasset equity options: How relevant is the dependence function?," Journal of Banking & Finance, Elsevier, vol. 34(4), pages 788-801, April.
    4. Tavin, Bertrand, 2015. "Detection of arbitrage in a market with multi-asset derivatives and known risk-neutral marginals," Journal of Banking & Finance, Elsevier, vol. 53(C), pages 158-178.
    5. Chiu, Mei Choi & Wong, Hoi Ying & Zhao, Jing, 2015. "Commodity derivatives pricing with cointegration and stochastic covariances," European Journal of Operational Research, Elsevier, vol. 246(2), pages 476-486.
    6. Población, Javier & Serna, Gregorio, 2016. "Is the refining margin stationary?," International Review of Economics & Finance, Elsevier, vol. 44(C), pages 169-186.
    7. Andreas Fritz, 2012. "European Electricity and interrelated Futures Markets: A cointegrated Vector Autoregressive Analysis," EWL Working Papers 1205, University of Duisburg-Essen, Chair for Management Science and Energy Economics, revised Aug 2012.
    8. Benjamin Cheng & Christina Nikitopoulos-Sklibosios & Erik Schlogl, 2016. "Empirical Hedging Performance on Long-dDted Crude Oil Derivatives," Research Paper Series 376, Quantitative Finance Research Centre, University of Technology, Sydney.
    9. Spodniak, Petr & Bertsch, Valentin, 2017. "Determinants of power spreads in electricity futures markets: A multinational analysis," Papers WP580, Economic and Social Research Institute (ESRI).
    10. 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.
    11. McInerney, Celine & Bunn, Derek, 2013. "Valuation anomalies for interconnector transmission rights," Energy Policy, Elsevier, vol. 55(C), pages 565-578.
    12. Mahringer, Steffen & Prokopczuk, Marcel, 2015. "An empirical model comparison for valuing crack spread options," Energy Economics, Elsevier, vol. 51(C), pages 177-187.
    13. Jaime Casassus & Peng Liu & Ke Tang, 2011. "Relative Scarcity of Commodities with a Long-Term Economic Relationship and the Correlation of Futures Returns," Documentos de Trabajo 404, Instituto de Economia. Pontificia Universidad Católica de Chile..
    14. Farkas, Walter & Gourier, Elise & Huitema, Robert & Necula, Ciprian, 2017. "A two-factor cointegrated commodity price model with an application to spread option pricing," Journal of Banking & Finance, Elsevier, vol. 77(C), pages 249-268.
    15. Paschke, Raphael & Prokopczuk, Marcel, 2010. "Commodity derivatives valuation with autoregressive and moving average components in the price dynamics," Journal of Banking & Finance, Elsevier, vol. 34(11), pages 2742-2752, November.
    16. Caldana, Ruggero & Fusai, Gianluca, 2013. "A general closed-form spread option pricing formula," Journal of Banking & Finance, Elsevier, vol. 37(12), pages 4893-4906.
    17. Katsushi Nakajima & Kazuhiko Ohashi, 2016. "Commodity Spread Option with Cointegration," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 23(1), pages 1-44, March.
    18. repec:pal:marecl:v:19:y:2017:i:4:d:10.1057_mel.2016.7 is not listed on IDEAS

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