We calculate the width 2Δ_CT and intensity of the charge-transfer peak (the one lying at the on-site energy E_d) in the impurity spectral density of states as a function of E_d in the SU(N) impurity Anderson model (IAM). We use the dynamical density-matrix renormalization group (DDMRG) and the noncrossing-approximation (NCA) for N = 4 and a 1/N variational approximation in the general case. In particular, while for E_d ≫ Δ, where Δ is the resonant level half-width, Δ_CT = Δ as expected in the noninteracting case, for -E_d ≫ NΔ one has Δ_CT = NΔ. In the N = 2 case, some effects of the variation of Δ_CT with E_d were observed in the conductance through a quantum dot connected asymmetrically to conducting leads at finite bias [J. Könemann et al., Phys. Rev. B 73, 033313 (2006)]. More dramatic effects are expected in similar experiments that can be carried out in systems of two quantum dots, carbon nanotubes or other, realizing the SU(4) IAM.