In this paper, we study the Cabibbo favored nonleptonic ${D}^{0}$ decays into ${K}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}$ decays. First we show that, within the Standard Model (SM), the corresponding charge conjugation and parity ($CP$) asymmetry is strongly suppressed and out of the experimental range, even taking into account the large strong phases coming from final state interactions. We show also that although new physics models with extra sequential generation can enhance the $CP$ asymmetry by a few orders of magnitude, the resulting $CP$ asymmetry is still far from the experimental range. The most sensitive new physics models to this $CP$ asymmetry come from nonmanifest left-right models, where a $CP$ asymmetry up to 10% can be reached, and the general two-Higgs model extension of the SM, where a $CP$ asymmetry of order ${10}^{\ensuremath{-}2}$ can be obtained without being in contradiction with the experimental constraints on these models.