Performance studies for collective flow measurements with CBM at FAIR

We present recent results from CBM performance studies for measurements of the directed (v ₁) flow of π⁺, Ʌ and $K_s^0$. For the performance studies we use the CBMROOT environment for Monte-Carlo simulations and event reconstruction. The Kalman Filter Particle Finder (KFParticleFinder) package is used for hyperon reconstruction via their weak decays, and the Projectile Spectator Detector (PSD) for event plane determination. A status of the fast simulator implementation for the PSD calorimeter response, which is required for high statistics simulation, is also presented. (paper)