We propose a model for radiatively generating the hierarchy of the StandardModel (SM) fermion masses: tree-level top quark mass; 1-loop bottom, charm, tauand muon masses; 2-loop masses for the light up, down and strange quarks aswell as for the electron; and 4-loop masses for the light active neutrinos. Ourmodel is based on a softly-broken $S_{3}\times Z_{2}$ discrete symmetry. Itsscalar sector consists only of one SM Higgs doublet and three electricallyneutral SM-singlet scalars. We do not need to invoke either electricallycharged scalar fields, or an extra $SU_{2L}$ scalar doublet, or the spontaneousbreaking of the discrete group, which are typical for other radiative models inthe literature. The model features a viable scalar dark matter candidate.
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