Many researchers have used parametric ARCH models to specify the conditiona
l variance of financial series. However, the usual tests do not provide any
information on the form of the conditional variance. The objective of this
paper is to present a test for heteroscedasticity, i.e. to decide whether
the use of the parametric model can be justified. The test statistic is bas
ed on the distance between a non-parametric and a parametric estimator for
the conditional variance. The critical values are calculated using a bootst
rap method.