An investigation into higher and partial moment portfolio selection frameworks

dc.contributor.advisorRajaratnam, Kanshukan
dc.contributor.authorPolden, Stuart John
dc.date.accessioned2020-02-06T08:15:56Z
dc.date.available2020-02-06T08:15:56Z
dc.date.issued2019
dc.date.updated2020-02-04T07:59:46Z
dc.description.abstractThis dissertation highlights the importance of considering higher moments and partial moments of the distribution when conducting portfolio optimisation and selection. This is due partly to the weaknesses of mean-variance optimisation, as discussed throughout the dissertation, and the appropriateness of considering higher moments to better meet the investors utility functions. This dissertation investigates the usage of two bi-objective optimisation frameworks, a Skewness/Semivariance framework previously suggested by Brito et al (2016), and a proposed upside and downside semivariance framework (referred to as Semivariance/Semivariance), developed from Cumova and Nawrocki’s (2014) general upper partial and lower partial moment framework. It solves the endogeneity issue present in the co-semivariance matrices, through the usage of a direct multi-search algorithm. The two frameworks were tested across multiple datasets, including one of pure stocks and one of asset classes, to test the ability to both allocate assets and select stocks. The performance was measured through nominal returns, statistical tests, Sharpe ratios, Sortino ratios, and Skewness/Semivariance ratios. The results reveal the Semivariance/Semivariance optimisation process to outperform the Skewness/Semivariance optimisation in the majority of the cases investigated. This suggests it may be a superior selection optimisation process. Furthermore, the Semivariance/Semivariance portfolios remain competitive with the benchmark portfolios selected in this dissertation, often outperforming them on an absolute return and ratio basis; however, this outperformance has not consistently proven to be statistically significant.
dc.identifier.apacitationPolden, S. J. (2019). <i>An investigation into higher and partial moment portfolio selection frameworks</i>. (). ,Faculty of Commerce ,Department of Finance and Tax. Retrieved from http://hdl.handle.net/11427/30878en_ZA
dc.identifier.chicagocitationPolden, Stuart John. <i>"An investigation into higher and partial moment portfolio selection frameworks."</i> ., ,Faculty of Commerce ,Department of Finance and Tax, 2019. http://hdl.handle.net/11427/30878en_ZA
dc.identifier.citationPolden, S. 2019. An investigation into higher and partial moment portfolio selection frameworks.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Polden, Stuart John AB - This dissertation highlights the importance of considering higher moments and partial moments of the distribution when conducting portfolio optimisation and selection. This is due partly to the weaknesses of mean-variance optimisation, as discussed throughout the dissertation, and the appropriateness of considering higher moments to better meet the investors utility functions. This dissertation investigates the usage of two bi-objective optimisation frameworks, a Skewness/Semivariance framework previously suggested by Brito et al (2016), and a proposed upside and downside semivariance framework (referred to as Semivariance/Semivariance), developed from Cumova and Nawrocki’s (2014) general upper partial and lower partial moment framework. It solves the endogeneity issue present in the co-semivariance matrices, through the usage of a direct multi-search algorithm. The two frameworks were tested across multiple datasets, including one of pure stocks and one of asset classes, to test the ability to both allocate assets and select stocks. The performance was measured through nominal returns, statistical tests, Sharpe ratios, Sortino ratios, and Skewness/Semivariance ratios. The results reveal the Semivariance/Semivariance optimisation process to outperform the Skewness/Semivariance optimisation in the majority of the cases investigated. This suggests it may be a superior selection optimisation process. Furthermore, the Semivariance/Semivariance portfolios remain competitive with the benchmark portfolios selected in this dissertation, often outperforming them on an absolute return and ratio basis; however, this outperformance has not consistently proven to be statistically significant. DA - 2019 DB - OpenUCT DP - University of Cape Town KW - Investment Management LK - https://open.uct.ac.za PY - 2019 T1 - An investigation into higher and partial moment portfolio selection frameworks TI - An investigation into higher and partial moment portfolio selection frameworks UR - http://hdl.handle.net/11427/30878 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/30878
dc.identifier.vancouvercitationPolden SJ. An investigation into higher and partial moment portfolio selection frameworks. []. ,Faculty of Commerce ,Department of Finance and Tax, 2019 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/30878en_ZA
dc.language.rfc3066eng
dc.publisher.departmentDepartment of Finance and Tax
dc.publisher.facultyFaculty of Commerce
dc.subjectInvestment Management
dc.titleAn investigation into higher and partial moment portfolio selection frameworks
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationnameMCom
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