  We propose a new framework for constructing supersymmetric theories of
flavor, in which flavor symmetry breaking is triggered by the dynamical
breakdown of supersymmetry at low energies. All mass scales in our scheme are
generated from the supersymmetry breaking scale $\Lambda_{SSB} \approx 10^7$
GeV through radiative corrections. We assume a spontaneously broken flavor
symmetry and the Froggatt-Nielsen mechanism for generating the fermion Yukawa
couplings. Supersymmetry breaking radiatively induces a vacuum expectation
value for a scalar field, which generates invariant masses for the
Froggatt-Nielsen fields at $M_F \approx 10^4$ GeV. `Flavon' fields $\varphi$,
which spontaneously break the flavor symmetry, naturally acquire negative
squared masses due to two-loop diagrams involving the Froggatt-Nielsen fields,
and acquire vacuum expectation values of order $\langle \varphi \rangle \approx
M_F/16\pi^2$. The fermion mass hierarchy arises in our framework as a power
series in the ratio $\langle \varphi \rangle / M_F \approx 1/16\pi^2$.
