Method for Pricing Renewable Energy Certificates

Abstract

[Abstract] In this work we present one valuation method for Renewable Energy Certificates (RECs). Starting from a system of FBSDEs and using Ito lemma, we propose a mathematical model based on a semilinear PDE with two stochastic factors. The main novelty comes from the use of the Bermúdez-Moreno algorithm to deal the non-linear convective term in the PDE. This duality algorithm is based on the Yosida regularization of non-linear maximal monotone operators. The resulting linear problem is discretized by using a characteristics method combined with a second order implicit finite differences scheme. We showillustrative results of the performance of the proposed model and the numerical method