  In recent works, we have shown how $n$-point correlation functions in
perturbative QFT can be computed without running into intermediate divergences.
Here we want to illustrate explicitly that one can calculate the quantum
effective potential by the same method. As a main example, we consider a theory
with two fields having large and small vacuum expectation values (vev). We show
that no fine-tuning between the {\it physical quantities} is needed to keep the
hierarchy between the vevs of different fields.
