In this article, we present two possible approaches to compute origin invariant Sia values in the modified velocity gauge. Section II contains a brief review of the theory behind the Sia analysis and the derivation of the origin invariant formulations. The first of these procedures uses an average of the Sia values obtained from MVG electric and magnetic perturbation calculations. The second approach involves splitting the response matrix in order to form "hemi-perturbed densities" that are then contracted to form Sia values. Section III describes the computational procedure for the test calculations. In Section IV, we demonstrate that both approaches are indeed origin invariant and we compare the results with standard Sia formulations by performing calculations on two small organic molecules, P-(2,3)-pentadiene and (R)-3-chloro-1butene. We conclude with a discussion of the relative merits of these two approaches in Section V.