GARCH Estimation and Discrete Stock Prices
AbstractThe continuous-state GARCH model is misspecified if applied to returns calculated from discrete price series. This paper proposes modifications of the above model for handling such cases. The focus is on the AR-GARCH framework, but the same ideas could be used for other stochastic processes as well. Using Swedish stock price data and a stochastic optimization algorithm, simulated annealing, I compare the parameter estimates and asymptotic standard errors from the approximative model and the extended models. I find small deviations between the models for longer time series and small tick sizes, but larger differences for shorter series and for larger tick size to price ratios, mainly in the conditional variance parameter estimates. None of the models provide continuous residuals. By constructing generalized residuals, I show how valid residual diagnostic and specification tests can be performed in some cases.
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Bibliographic InfoPaper provided by Lund University, Department of Economics in its series Working Papers with number 2001:6.
Length: 17 pages
Date of creation: 30 Mar 2001
Date of revision: 03 Aug 2001
Contact details of provider:
Postal: Department of Economics, School of Economics and Management, Lund University, Box 7082, S-220 07 Lund,Sweden
Phone: +46 +46 222 0000
Fax: +46 +46 2224613
Web page: http://www.nek.lu.se/
More information through EDIRC
EM estimation; compass rose; stock return modeling; latent variables; generalized residuals;
Find related papers by JEL classification:
- C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
- C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
- C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
This paper has been announced in the following NEP Reports:
- NEP-ALL-2001-04-11 (All new papers)
- NEP-ECM-2001-04-11 (Econometrics)
- NEP-ETS-2001-04-11 (Econometric Time Series)
- NEP-FIN-2001-04-11 (Finance)
- NEP-FMK-2001-04-11 (Financial Markets)
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