  We investigate the scalar perturbation produced at the pre-inflationary stage
driven by a massive scalar field in Eddington-inspired Born-Infeld gravity. The
scalar power spectrum exhibits a peculiar rise for low $k$-modes. The
tensor-to-scalar ratio can be significantly lowered compared with that in the
standard chaotic inflation model in general relativity. This result is very
affirmative considering the recent dispute on the detection of the
gravitational wave radiation between PLANCK and BICEP2.
