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Bilinear Integrable soliton solutions and carbon emission rights pricing

Author

Listed:
  • Xing Yang
  • Jun-long Mi
  • Yue Zeng
  • Wen-bo Wei

Abstract

Pricing carbon emission rights and other financial assets using the soliton theory is a pioneering attempt. In this study, we investigated the pricing of carbon emission rights according to the basic attributes of solitons, whose amplitude and velocity remain unchanged after a collision. First, we showed that the price fluctuation in the sequence of carbon emission rights possesses the characteristics of a soliton, such as non-dispersion while spreading and being stable after a collision. With a variation in the time scale, the waveform and velocity of the carbon price movement did not change with its translation in the same direction. Second, we demonstrated that the carbon soliton equation passes the $Painlev\acute{e}$ test for integrability. Moreover, at the resonance point, there exists an arbitrary function ${u}_j(t)$ of $t$ in which the compatibility condition always holds. This indicates the existence of soliton solutions to the carbon soliton equation. Third, the exact solutions of single-soliton, two-soliton and three-soliton equations were obtained by using a nonlinear evolution equation constructed with a bilinear method. In the three soliton solutions, only the single-soliton solution is the central value of the carbon emission rights and its theoretical value is 13 Euro/tCO2e.

Suggested Citation

  • Xing Yang & Jun-long Mi & Yue Zeng & Wen-bo Wei, 2023. "Bilinear Integrable soliton solutions and carbon emission rights pricing," International Journal of Low-Carbon Technologies, Oxford University Press, vol. 18, pages 131-143.
    • Handle: RePEc:oup:ijlctc:v:18:y:2023:i::p:131-143.
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    References listed on IDEAS

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    1. Montgomery, W. David, 1972. "Markets in licenses and efficient pollution control programs," Journal of Economic Theory, Elsevier, vol. 5(3), pages 395-418, December.
    2. Lee, Chia-Yen & Wang, Ke, 2019. "Nash marginal abatement cost estimation of air pollutant emissions using the stochastic semi-nonparametric frontier," European Journal of Operational Research, Elsevier, vol. 273(1), pages 390-400.
    3. Wu, Yang-Che, 2020. "Equilibrium in natural catastrophe insurance market under disaster-resistant technologies, financial innovations and government interventions," Insurance: Mathematics and Economics, Elsevier, vol. 95(C), pages 116-128.
    4. Burton G. Malkiel, 2003. "The Efficient Market Hypothesis and Its Critics," Working Papers 111, Princeton University, Department of Economics, Center for Economic Policy Studies..
    5. Burton G. Malkiel, 2003. "The Efficient Market Hypothesis and Its Critics," Working Papers 111, Princeton University, Department of Economics, Center for Economic Policy Studies..
    6. repec:pri:cepsud:91malkiel is not listed on IDEAS
    7. Liao, Chao-ning & Önal, Hayri & Chen, Ming-Hsiang, 2009. "Average shadow price and equilibrium price: A case study of tradable pollution permit markets," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1207-1213, August.
    8. Bryan Kelly & Ľuboš Pástor & Pietro Veronesi, 2016. "The Price of Political Uncertainty: Theory and Evidence from the Option Market," Journal of Finance, American Finance Association, vol. 71(5), pages 2417-2480, October.
    9. Florin Turcas & Florin Dumiter & Petre Brezeanu & Pavel Farcas & Sorina Coroiu, 2017. "Practical aspects of portfolio selection and optimisation on the capital market," Economic Research-Ekonomska Istraživanja, Taylor & Francis Journals, vol. 30(1), pages 14-30, January.
    10. Burton G. Malkiel, 2003. "The Efficient Market Hypothesis and Its Critics," Journal of Economic Perspectives, American Economic Association, vol. 17(1), pages 59-82, Winter.
    11. Daskalakis, George & Psychoyios, Dimitris & Markellos, Raphael N., 2009. "Modeling CO2 emission allowance prices and derivatives: Evidence from the European trading scheme," Journal of Banking & Finance, Elsevier, vol. 33(7), pages 1230-1241, July.
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