  We describe a two-orbital tight-binding model with bases belonging to the
$\Gamma_8$ quartet. The model captures several characteristics of the
Fermiology unravelled by the recent angle-resolved photoemission spectroscopic
(ARPES) measurements on cerium hexaboride CeB$_6$ samples cleaved along
different high-symmetry crystallographic directions, which includes the
ellipsoid-like Fermi surfaces (FSs) with major axes directed along $\Gamma$-X.
We calculate various multipolar susceptibilities within the model and identify
the susceptibility that shows the strongest divergence in the presence of
standard onsite Coulomb interactions and discuss it's possible implication and
relevance with regard to the signature of strong ferromagnetic correlations
existent in various phases as shown by the recent experiments.
