The complex dielectric constant of Cd0.8Mn0.2Te single crystals is determined from reflection measurements in the photon energy range from 1.75 to 2 eV at the lattice temperature T = 2 K. The light reflection model includes exciton absorption and dispersive background dielectric constant contribution. The same model is found to be efficient in describing the band of nonreciprocal reflection arising in nonzero magnetic field in the Voigt geometry.