  We introduce and implement a Monte Carlo scheme to study the equilibrium
statistics of polymers in the globular phase. It is based on a model of
"interacting elastic lattice polymers" and allows a sufficiently good sampling
of long and compact configurations, an essential prerequisite to study the
scaling behaviour of free energies. By simulating interacting self-avoiding
rings at several temperatures in the collapsed phase, we estimate both the bulk
and the surface free energy. Moreover from the corresponding estimate of the
entropic exponent $\alpha-2$ we provide evidence that, unlike for swollen and
$\Theta$-point rings, the hyperscaling relation is not satisfied for globular
rings.
