We describe an N = 2 heterotic superstring model of rank 3 which is du
al to the type II string compactified on a Calabi-Yau manifold with Be
tti numbers b(1,1) = 2 and b(1,2) = 86. We show that the exact duality
symmetry found from the type II realization contains the perturbative
duality group of the heterotic model, as well as the exact quantum mo
nodromies of the rigid SU(2) super-Yang-Mills theory. Moreover, it con
tains a non-perturbative monodromy which is stringy in origin and corr
esponds roughly to an exchange of the string coupling with the compact
ification radius.