A Forward-Backward SDEs Approach to Pricing in Carbon Markets
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Beschreibung
In Mathematical Finance, the authors consider a mathematical model for the pricing of emissions permits. The model has particular applicability to the European Union Emissions Trading System (EU ETS) but could also be used to consider the modeling of other cap-and-trade schemes. As a response to the risk of Climate Change, carbon markets are currently being implemented in regions worldwide and already represent more than $30 billion. However, scientific, and particularly mathematical, studies of these carbon markets are needed in order to expose their advantages and shortcomings, as well as allow their most efficient implementation.
This Brief reviews mathematical properties such as the existence and uniqueness of solutions for the pricing problem, stability of solutions and their behavior. These fit into the theory of fully coupled forward-backward stochastic differential equations (FBSDEs) with irregular coefficients. The authors present a numerical algorithm to compute thesolution to these non-standard FBSDEs. They also carry out a case study of the UK energy market. This involves estimating the parameters to be used in the model using historical data and then solving a pricing problem using the aforementioned numerical algorithm.
The Brief is of interest to researchers in stochastic processes and their applications, and environmental and energy economics. Most sections are also accessible to practitioners in the energy sector and climate change policy-makers.
Contains a case study of the UK energy market
Provides a description of carbon markets, which are being implemented worldwide, and their role in the mitigations of climate change
Contains an introduction to forward-backward stochastic differential equations (FBSDE) and their application to carbon markets
Provides a description of carbon markets, which are being implemented worldwide, and their role in the mitigations of climate change Most sections are accessible to practitioners in the energy sector and climate change policy-makers Contains a case study of the UK energy market Contains an introduction to forward-backward stochastic differential equations (FBSDE) and their application to carbon markets Includes supplementary material: sn.pub/extras
Autor*in
Jean-François Chassagneux
Themen in »A Forward-Backward SDEs Approach to Pricing in Carbon Markets«
60H30, 91G80 EU ETS stochastic analysis forward-backward stochastic differential equations commodity prices environmental finance parameter estimation pricing in carbon markets carbon markets emissions permits energy economics environmental economics quantitative finance