Cumulative merger rate as a function of redshift for different detectors. Thick lines represent the results from GAL model, whereas the thin lines correspond to CFR and CSFE, assuming the mean value of the elapsed time. The dotted lines represent the upper(lower) bounds as determined by the minimum(maximum) value of ⟨T⟩. We assume that the BH companion in the IMRI has a mass M_BH = 30 M_⊙.