We study the effects on the luminosity distance of a local inhomogeneity seeded by primordial
curvature perturbations as predicted by the inflationary scenario and constrained by the cosmic mi-
crowave background radiation. We find that a local underdensity originated from a one, two or three
standard deviations peaks of the primordial curvature perturbations field can induce corrections to
the value of the cosmological constant respectively of order of 0.6%, 1%, 1.5%. These effects cannot
be neglected in the precision cosmology era in which we are entering.