  A moderate extension of MSSM based on a left-right symmetric gauge group,
within which hybrid inflation is `naturally' realized, is discussed. The mu
problem is solved via a Peccei-Quinn symmetry. Light neutrinos acquire
hierarchical masses by the seesaw mechanism. They are taken from the small
angle MSW resolution of the solar neutrino puzzle and the SuperKamiokande data.
The range of parameters consistent with maximal nu_mu-nu_tau mixing and the
gravitino constraint is determined. The baryon asymmetry of the universe is
generated through a primordial leptogenesis. The subrange of parameters, where
the baryogenesis constraint is also met, is specified. The required values of
parameters are more or less `natural'.
