  We present an updated analysis of the constrained minimal supersymmetric
standard model with mu>0 supplemented by an `asymptotic' Yukawa coupling
quasi-unification condition, which allows an acceptable b-quark mass. Imposing
constraints from the cold dark matter abundance in the universe, B physics, the
muon anomalous magnetic moment, and the mass m_h of the lightest neutral
CP-even Higgs boson, we find that the lightest neutralino cannot act as a cold
dark matter candidate. This is mainly because the upper bound on the lightest
neutralino relic abundance from cold dark matter considerations, despite the
fact that this abundance is drastically reduced by neutralino-stau
coannihilations, is incompatible with the recent data on the branching ratio of
B_s --> mu^+ mu^-. Allowing for a different particle, such as the axino or the
gravitino, to be the lightest supersymmetric particle and, thus, constitute the
cold dark matter in the universe, we find that the predicted m_h's in our model
favor the range (119-126) GeV.
