  We consider the softly broken ${\cal N}=1$ supersymmetric electrodynamics,
regularized by higher derivatives. For this theory we demonstrate that the
renormalization of the photino mass is determined by integrals of double total
derivatives in the momentum space in all orders. Consequently, it is possible
to derive the NSVZ-like exact relation between the photino mass anomalous
dimension and the anomalous dimension of the matter superfields in the rigid
theory by direct summation of supergraphs. It is important that both these
renormalization group functions are defined in terms of the bare coupling
constant, so that the considered NSVZ-like relation is valid independently of
the subtraction scheme in the case of using the higher derivative
regularization. The factorization of integrals defining the photino mass
renormalization into integrals of double total derivatives is verified by an
explicit two-loop calculation.
