Estimating stochastic volatility models with student-t distributed errors
| dc.contributor.advisor | Kulikova, Maria | |
| dc.contributor.advisor | Mavuso, Melusi | |
| dc.contributor.author | Rama, Vishal | |
| dc.date.accessioned | 2020-11-12T08:36:19Z | |
| dc.date.available | 2020-11-12T08:36:19Z | |
| dc.date.issued | 2020 | |
| dc.date.updated | 2020-11-12T08:35:24Z | |
| dc.description.abstract | This dissertation aims to extend on the idea of Bollerslev (1987), estimating ARCH models with Student-t distributed errors, to estimating Stochastic Volatility (SV) models with Student-t distributed errors. It is unclear whether Gaussian distributed errors sufficiently account for the observed leptokurtosis in financial time series and hence the extension to examine Student-t distributed errors for these models. The quasi-maximum likelihood estimation approach introduced by Harvey (1989) and the conventional Kalman filter technique are described so that the SV model with Gaussian distributed errors and SV model with Student-t distributed errors can be estimated. Estimation of GARCH (1,1) models is also described using the method maximum likelihood. The empirical study estimated four models using data on four different share return series and one index return, namely: Anglo American, BHP, FirstRand, Standard Bank Group and JSE Top 40 index. The GARCH and SV model with Student-t distributed errors both perform best on the series examined in this dissertation. The metric used to determine the best performing model was the Akaike information criterion (AIC). | |
| dc.identifier.apacitation | Rama, V. (2020). <i>Estimating stochastic volatility models with student-t distributed errors</i>. (). ,Faculty of Science ,Department of Statistical Sciences. Retrieved from http://hdl.handle.net/11427/32390 | en_ZA |
| dc.identifier.chicagocitation | Rama, Vishal. <i>"Estimating stochastic volatility models with student-t distributed errors."</i> ., ,Faculty of Science ,Department of Statistical Sciences, 2020. http://hdl.handle.net/11427/32390 | en_ZA |
| dc.identifier.citation | Rama, V. 2020. Estimating stochastic volatility models with student-t distributed errors. . ,Faculty of Science ,Department of Statistical Sciences. http://hdl.handle.net/11427/32390 | en_ZA |
| dc.identifier.ris | TY - Master Thesis AU - Rama, Vishal AB - This dissertation aims to extend on the idea of Bollerslev (1987), estimating ARCH models with Student-t distributed errors, to estimating Stochastic Volatility (SV) models with Student-t distributed errors. It is unclear whether Gaussian distributed errors sufficiently account for the observed leptokurtosis in financial time series and hence the extension to examine Student-t distributed errors for these models. The quasi-maximum likelihood estimation approach introduced by Harvey (1989) and the conventional Kalman filter technique are described so that the SV model with Gaussian distributed errors and SV model with Student-t distributed errors can be estimated. Estimation of GARCH (1,1) models is also described using the method maximum likelihood. The empirical study estimated four models using data on four different share return series and one index return, namely: Anglo American, BHP, FirstRand, Standard Bank Group and JSE Top 40 index. The GARCH and SV model with Student-t distributed errors both perform best on the series examined in this dissertation. The metric used to determine the best performing model was the Akaike information criterion (AIC). DA - 2020 DB - OpenUCT DP - University of Cape Town KW - Decision Sciences and Analytics LK - https://open.uct.ac.za PY - 2020 T1 - Estimating stochastic volatility models with student-t distributed errors TI - Estimating stochastic volatility models with student-t distributed errors UR - http://hdl.handle.net/11427/32390 ER - | en_ZA |
| dc.identifier.uri | http://hdl.handle.net/11427/32390 | |
| dc.identifier.vancouvercitation | Rama V. Estimating stochastic volatility models with student-t distributed errors. []. ,Faculty of Science ,Department of Statistical Sciences, 2020 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/32390 | en_ZA |
| dc.language.rfc3066 | eng | |
| dc.publisher.department | Department of Statistical Sciences | |
| dc.publisher.faculty | Faculty of Science | |
| dc.subject | Decision Sciences and Analytics | |
| dc.title | Estimating stochastic volatility models with student-t distributed errors | |
| dc.type | Master Thesis | |
| dc.type.qualificationlevel | Masters | |
| dc.type.qualificationlevel | MSc |