This paper tests for the presence of nonlinear dependence in the black-mark
et Polish zloty-dollar exchange rate. Using the GARCH-M model, we illustrat
e use of the Marquardt (Journal of the Society of Industrial and Applied Ma
thematics, 2, 1963) alternative to the Berndt (Annals of Economical Social
Measurement, 4, 1974) iterative nonlinear algorithm for the estimation of s
uch models, and discrimination between estimated models on the basis of the
Brock and Potter (Handbook of Statistics, 11, 1993) test for so conditiona
l variance misspecification. We find evidence of a time-varying risk premiu
m such that foreign speculators are compensated for increased exchange rate
risk by appreciation which increases the dollar value of zloty holdings, a
nd which is able to account for all of the apparent nonlinearity in the zlo
ty.