  All-loop Finite Unified Theories (FUTs) are very interesting N = 1
supersymmetric Grand Unified Theories (GUTs) realising an old field theory
dream, and moreover have a remarkable predictive power due to the required
reduction of couplings. Based on this theoretical framework phenomenologically
consistent FUTs have been constructed. Here we review two FUT models based on
the SU(5) gauge group, which can be seen as special, restricted and thus very
predictive versions of the MSSM. We show that from the requirement of correct
prediction of quark masses and other experimental constraints a light
Higgs-boson mass in the range M_h ~ 121 - 126 GeV is predicted, in striking
agreement with recent experimental results from ATLAS and CMS. The model
furthermore naturally predicts a relatively heavy spectrum with colored
supersymmetric particles above ~ 1.5 TeV in agreement with the non-observation
of those particles at the LHC.
