Asia-Pacific Financial Markets

, Volume 20, Issue 2, pp 183–217 | Cite as

Emission Allowance as a Derivative on Commodity-Spread

  • Katsushi Nakajima
  • Kazuhiko Ohashi


We provide a valuation formula for emission allowance. Assuming that the value of emission allowance on the last day of a trading phase is equal to a spread of commodity prices (e.g. electricity and natural gas) when the spread is positive and less than the penalty, we show that the emission allowance price is equal to the value of a portfolio of European call options on the spread of the commodities. Using the formula, we obtain a hedging strategy for emission allowance trading. We also empirically analyze option value embedded in emission allowance, and find by numerical analysis that the option value is relatively large.


Commodity prices Derivative Emission allowance  Energy  Hedging strategy 


  1. Chao, H.-P., & Wilson, R. (2003). Option value of emission allowances. Journal of Reguratory Economics, 5(3), 233–249.CrossRefGoogle Scholar
  2. Chesney, M., & Taschini, L. (2009). The endogenous price dynamics of emission allowances and an application to co2 option pricing. Working paper. Swiss Banking Institute, University of Zürich, Switzerland.Google Scholar
  3. Cox, John C., Ingersoll, J. E, Jr, & Ross, S. A. (1981). The relation between forward prices and futures prices. Journal of Financial Economics, 9(4), 321–346.CrossRefGoogle Scholar
  4. Cronshaw, M. B., & Kruse, J. B. (1996). Regulated firms in pollution permit markets with banking. Journal of Regulatory Economics, 9(2), 179–189.CrossRefGoogle Scholar
  5. Daskalakis, G., Psychoyios, D., & Markellos, R. N. (2009). Modeling $\text{ CO}_2$ emission allowance prices and derivatives: Evidence from the European trading scheme. Journal of Banking & Finance, 33(7), 1230–1241.CrossRefGoogle Scholar
  6. Fehr, M., & Hinz, J. (2007). A quantitative approach to carbon price risk modeling. In CFC Commodities Conference.Google Scholar
  7. Fezzi, C., & Bunn, D. W. (2009). Structural interactions of European carbon trading and energy prices. The Journal of Energy Market, 2(4), 53–69.Google Scholar
  8. Grüll, G., & Taschini, L. (2011). Cap-and-trade properties under different hybrid scheme designs. Journal of Environmental Economics and Management, 61(1), 107–118.CrossRefGoogle Scholar
  9. Karatzas, I., & Shreve, S. E. (1991). Brownian motion and stochastic calculus (2nd ed.). New York: Springer.Google Scholar
  10. Kijima, M., Maeda, A., & Nishide, K. (2010). Equilibrium pricing of contingent claims in tradable permit markets. Journal of Futures Markets, 30(6), 559–589.Google Scholar
  11. Liptser, R. S., & Shiryaev A. N. (2001). Statistics of random processes I. General theory. New York: Springer (2nd, rev. and expanded edition).Google Scholar
  12. Maeda, A. (2004). Impact of banking and forward contracts on tradable permit markets. Environmental Economics and Policy Studies, 6(2), 81–102.Google Scholar
  13. Mansanet-Bataller, M., Pardo, A., & Valor, E. (2007). CO2 prices, energy and weather. The Energy Journal, 28(3), 73–92.CrossRefGoogle Scholar
  14. Nakajima, K., & Ohashi, K. (2010). Relations of commodity prices with emission allowances. Working paper. Graduate School of International Corporate Strategy, Hitotsubashi University, Tokyo, January 2010.Google Scholar
  15. Rubin, J. D. (1996). A model of intertemporal emission trading, banking, and borrowing. Journal of Environmental Economics and Management, 31(3), 269–286.CrossRefGoogle Scholar
  16. Schennach, S. M. (2000). The economics of pollution permit banking in the context of Title IV of the 1990 Clean Air Act Amendments. Journal of Environmental Economics and Management, 40(3), 189–210.CrossRefGoogle Scholar
  17. Seifert, J., Uhrig-Homburg, M., & Wagner, M. (2008). Dynamic behavior of $\text{ CO}_2$ spot prices. Journal of Environmental Economics and Management, 56(2), 180–194.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Graduate School of International Corporate StrategyHitotsubashi UniversityTokyoJapan

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