  We argue that all the necessary ingredients for successful inflation are
present in the flat directions of the Minimally Supersymmetric Standard Model.
We show that out of many gauge invariant combinations of squarks, sleptons and
Higgses, there are two directions, ${\bf LLe}$, and ${\bf udd}$, which are
promising candidates for the inflaton. The model predicts more than $10^3$
e-foldings with an inflationary scale of $H_{\rm inf}\sim {\cal O}(1-10)$ GeV,
provides a tilted spectrum with an amplitude of $\delta_H\sim 10^{-5}$ and a
negligible tensor perturbation. The temperature of the thermalized plasma could
be as low as $T_{rh}\sim {\cal O}(1-10)$~TeV. Parts of the inflaton potential
can be determined independently of cosmology by future particle physics
experiments.
