Testing the Box-Cox Parameter for an Integrated Process
AbstractThis 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
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Bibliographic InfoPaper provided by Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico in its series Documentos de Trabajo del ICAE with number 2011-19.
Length: 21 pages
Date of creation: 2011
Date of revision:
Note: The second author wishes to acknowledge the financial support of the Ministry of Education, Science, Culture and Sports of Japan, and the third author is most grateful for the financial support of the Australian Research Council, National Science Council, Taiwan, and the Japan Society for the Promotion of Science.
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Other versions of this item:
- Jian Huang & Masahito Kobayashi & Michael McAleer, 2010. "Testing the Box-Cox Parameter for an Integrated Process," KIER Working Papers 750, Kyoto University, Institute of Economic Research.
- Huang, J. & Kobayashi, M. & McAleer, M.J., 2011. "Testing the Box-Cox Parameter for an Integrated Process," Econometric Institute Research Papers EI 2010-77, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
- Jian Huang & Masahito Kobayashi & Michael McAleer, 2010. "Testing the Box-Cox Parameter for an Integrated Process," Working Papers in Economics 10/77, University of Canterbury, Department of Economics and Finance.
- NEP-ALL-2011-07-02 (All new papers)
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