Semiparametric diffusion estimation and application to a stock market index
AbstractThe analysis of diffusion processes in financial models is crucially dependent on the form of the drift and diffusion coefficient functions. A new model for a stock market index process is proposed in which the index is decomposed into an average growth process and an ergodic diffusion. The ergodic diffusion part of the model is not directly observable. A methodology is developed for estimating and testing the coefficient functions of this unobserved diffusion process. The estimation is based on the observations of the index process and uses semiparametric and non-parametric techniques. The testing is performed via the wild bootstrap resampling technique. The method is illustrated on S&P 500 index data.
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Bibliographic InfoArticle provided by Taylor and Francis Journals in its journal Quantitative Finance.
Volume (Year): 8 (2008)
Issue (Month): 1 ()
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Web page: http://taylorandfrancis.metapress.com/link.asp?target=journal&id=111405
Other versions of this item:
- Härdle, Wolfgang & Kleinow, Torsten & Korostelev, Alexander P. & Logeay, Camille & Platen, Eckhard, 2001. "Semiparametric diffusion estimation and application to a stock market index," SFB 373 Discussion Papers 2001,24, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
- C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
- C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
- G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies
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- Härdle, Wolfgang & Horowitz, Joel L. & Kreiss, Jens-Peter, 2001. "Bootstrap methods for time series," SFB 373 Discussion Papers 2001,59, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
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