The future design of the post-2020 CAP is under consultation and includes a wide range of policy options. This paper contributes to the analysis of policy alternatives by improving the CAP modelling with the Modular Applied GeNeral Equilibrium Tool (MAGNET) that allows the construction of a well-founded and plausible reference scenario (baseline) as well as diametrically opposed future visions of the CAP at the horizon 2030.