We derive and discuss the solution of the Boltzmann equations for
leptogenesis in an phenomenologically viable
SU(5)$\, \times \,$A$_{5}$ Golden Ratio Flavour Model
proposed in \cite{Gehrlein:2014wda,Gehrlein:2015dxa}.
The model employs, in particular, the seesaw mechanism of
neutrino mass generation.
We find that the results on the baryon asymmetry of the Universe,
obtained earlier in \cite{Gehrlein:2015dxa} using approximate
analytic expressions for the relevant CP violating
asymmetry and efficiency factors, are correct, as was expected,
up to 20-30\%. The phenomenological predictions for
the low energy neutrino observables, derived using values of the
parameters of the model for which we reproduce the observed value of
the baryon asymmetry, change little with respect to those
presented in \cite{Gehrlein:2015dxa}. Among the many predictions
of the model we find, for instance, that
the neutrinoless double beta decay effective Majorana mass $m_{ee}$
lies between 3.3~meV and 14.3~meV.
