RT Report
T1 Testing the Box-Cox Parameter for an Integrated Process
A1 Huang, Jian
A1 Kobayashi, Masahito
A1 McAleer, Michael
AB This paper analyses the constant elasticity of volatility (CEV) model suggested by Chan et al. (1992). The CEV model without mean reversion is shown to be the inverse Box-Cox transformation of integrated processes asymptotically. It is demonstrated that the maximum likelihood estimator of the power parameter has a nonstandard asymptotic distribution, which is expressed as an integral of Brownian motions, when the data generating process is not mean reverting. However, it is shown that the t-ratio follows a standard normal distribution asymptotically, so that the use of the conventional t-test in analyzing the power parameter of the CEV model is justified even if there is no mean reversion, as is often the case in empirical research. The model may applied to ultra high frequency data.
PB Instituto Complutense de Análisis Económico. Universidad Complutense de Madrid
YR 2011
FD 2011-05
LK https://hdl.handle.net/20.500.14352/49008
UL https://hdl.handle.net/20.500.14352/49008
LA eng
DS Docta Complutense
RD 25 abr 2025