Ait-Sahalia (1996) and Stanton (1997) use nonparametric estimators applied
to short-term interest rate data to conclude that the drift function contai
ns important nonlinearities. We study the finite-sample properties of their
estimators by applying them to simulated sample paths of a square-root dif
fusion. Although the drift function is linear, both estimators suggest nonl
inearities of the type and magnitude reported in Ait-Sahalia (1996) and Sta
nton (1997). Combined with the results of a weighted least squares estimato
r, this evidence implies that nonlinearity of the short rate drift is not a
robust stylized fact.