  Recent measurements of the CMS experiment at the LHC show possibly, with
about $3\sigma$ significance, a resonance in di-photon events with an invariant
mass of 95.4 GeV. If this resonance can be confirmed, this could be a hint for
a new elementary particle beyond the Standard Model. An additional
Standard-model-like Higgs boson with this mass could be excluded by the CMS
experiment. We investigate whether this resonance could fit into a
two-Higgs-doublet model highly constrained by CP symmetry, the so-called
maximally-CP-symmetric model (MCPM). Our finding shows that indeed the
enhancement measured by CMS could originate from the pseudoscalar Higgs boson
$h''$ of this model. According to the model the boson $h''$ would mainly be
produced in the Drell-Yan reaction by charm-anticharm-quark fusion. The main
decay mode of $h''$ is predicted to be $h'' \to c\bar{c}$. We then consider the
so called oblique parameters $S$, $T$, $U$ which give us an allowed region for
the mass of the scalar Higgs boson $h'$ versus that of the charged ones $H^\pm$
of the MCPM. We calculate the effect of these charged bosons $H^\pm$ in the
leptonic decay of the charm-strange mesons $D_s^\pm$. Our results indicate that
the mass $m_H$ of the charged Higgs bosons $H^\pm$ of the MCPM should be around
300 GeV.
