  Quartic hilltop inflation remains one of the most successful inflationary
models. Yet, the expectations of early treatments of hilltop inflation would
contradict the observations and render the model excluded. However, recent
numerical treatment has demonstrated that quartic hilltop inflation actually
fares well with observations. In this work, a fully analytic treatment of the
model aims to dispel the mystery surrounding the behaviour of quartic hilltop
inflation. The results obtained are in excellent agreement with numerical works
on the subject, yet offer simple analytic formulas to calculate observables and
easily test thereby quartic hilltop inflation, hopefully revealing information
on the theoretical background.
