We are excited to announce a new bilateral German-Spanish project, APMANA-EAREC, funded by the Agencia Estatal de Investigación (AEI) and Deutsche Forschungsgemeinschaft (DFG). This project located at the University of Wuppertal and the University of A Coruña, running from December 2024 to January 2028, delves into the complex world of energy markets, specifically focusing on CO2 emission allowances (EA) and renewable energy certificates (RECs).
The Challenge of Energy Market Modeling
The energy market is a dynamic and intricate system, influenced by a multitude of factors such as climate policies, economic conditions, and technological advancements. Accurately modeling and predicting the behavior of energy commodities like CO2 emission allowances and renewable energy certificates is crucial for informed decision-making by policymakers, investors, and market participants.
The APMANA-EAREC Project
The APMANA-EAREC project aims to address these challenges by:
- Advanced Mathematical Modeling: Developing sophisticated mathematical models, such as forward-backward stochastic differential equations (FBSDEs) and nonlinear partial differential equations (PDEs), to capture the complex dynamics of energy markets.
- Rigorous Mathematical Analysis: Conducting rigorous mathematical analysis to ensure the well-posedness and stability of the proposed models.
- Efficient Numerical Methods: Designing and implementing efficient numerical algorithms to solve the complex mathematical models and obtain accurate solutions.
- Innovative Model Extensions: Exploring novel model extensions, such as incorporating jump-diffusion processes for electricity prices and considering the impact of fuel prices on emission allowance prices.
Key Focus Areas
- CO2 Emission Allowances:
- Analyzing the impact of emissions trading systems (ETS) on market dynamics.
- Developing models to price CO2 emission allowances and related financial derivatives.
- Investigating the influence of factors like electricity demand, cumulative emissions, and fuel prices on allowance prices.
- Designing efficient numerical methods for solving the associated PDEs and FBSDEs.
- Renewable Energy Certificates:
- Modeling the pricing of RECs and their derivatives, considering factors like renewable energy generation rates and accumulated certificates.
- Addressing the challenges of fully coupled FBSDEs arising in REC pricing models.
- Developing numerical methods for solving the complex PDEs and FBSDEs associated with REC derivatives.
- Exploring exotic options and American-style options on RECs.
The Future of Energy Market Modeling
The APMANA-EAREC project is poised to make significant contributions to the field of energy market modeling. By advancing the state-of-the-art in mathematical modeling and numerical methods, this international project with partners from Portugal and France will provide valuable insights into the behavior of energy markets and support informed decision-making in the transition to a sustainable energy future.