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Pricing and valuation of carbon swap in uncertain finance market

Author

Listed:
  • Zhe Liu

    (North China Electric Power University)

  • Yanbin Li

    (North China Electric Power University)

Abstract

It has become a consensus in the international community to actively address global climate change issues and strive to achieve carbon reduction. For this purpose, carbon finance market plays a significant role in reducing carbon emissions by providing financial mechanisms to support and incentivize emission reduction projects. As a type of carbon finance derivative, carbon swap is an agreement between two parties whereby a floating price is exchange for a fixed price for carbon emission right over a specified period. How to price carbon swap before signing, i.e., determine the fixed price in the swap contract, and valuate carbon swap during the life of the swap contract are key issues. Noting the fact that the underlying asset of carbon swap is carbon price, the primary task is to model carbon price reasonably. Due to the inherent challenges and uncertainties associated with pricing carbon, frequency stability is often not guaranteed, resulting in the failure of probability based methods. Thus, this paper characterizes the carbon price using uncertain differential equation under the framework of uncertainty theory, and derives swap pricing and valuation formulas. Estimations for unknown parameters in the proposed model are given. Finally, with carbon spot price in European Energy Exchange, real data analyses are documented to illustrate our proposed methods in details.

Suggested Citation

  • Zhe Liu & Yanbin Li, 2024. "Pricing and valuation of carbon swap in uncertain finance market," Fuzzy Optimization and Decision Making, Springer, vol. 23(3), pages 319-336, September.
    • Handle: RePEc:spr:fuzodm:v:23:y:2024:i:3:d:10.1007_s10700-024-09423-z
    DOI: 10.1007/s10700-024-09423-z
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    References listed on IDEAS

    as
    1. Tingqing Ye & Baoding Liu, 2023. "Uncertain hypothesis test for uncertain differential equations," Fuzzy Optimization and Decision Making, Springer, vol. 22(2), pages 195-211, June.
    2. Yang Liu & Baoding Liu, 2022. "Residual analysis and parameter estimation of uncertain differential equations," Fuzzy Optimization and Decision Making, Springer, vol. 21(4), pages 513-530, December.
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    5. Xiao Yang & Wen Jia & Kedan Wang & Geng Peng, 2024. "Does the National Carbon Emissions Trading Market Promote Corporate Environmental Protection Investment? Evidence from China," Sustainability, MDPI, vol. 16(1), pages 1-22, January.
    6. Xiangfeng Yang & Hua Ke, 2023. "Uncertain interest rate model for Shanghai interbank offered rate and pricing of American swaption," Fuzzy Optimization and Decision Making, Springer, vol. 22(3), pages 447-462, September.
    7. 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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    Cited by:

    1. Lifen Jia & Linya Zhang & Wei Chen, 2024. "China’s carbon emission allowance prices forecasting and option designing in uncertain environment," Fuzzy Optimization and Decision Making, Springer, vol. 23(4), pages 539-560, December.
    2. Lin Chen & Yuanling Wang & Jin Peng & Qinzi Xiao, 2024. "Supply chain management based on uncertainty theory: a bibliometric analysis and future prospects," Fuzzy Optimization and Decision Making, Springer, vol. 23(4), pages 599-636, December.

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