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Department of Mathematics and Applied Mathematics

Portfolio construction using index regression models

Abstract

dc:description.abstract

In this dissertation we review the Sharpe Index Model and an innovation on this model introduced by Hossain, Troskie and Guo (2005b). These models are extended to the multi index framework. We then empirically investigate the impact of the models on portfolio creation over an extensive data set. Next we extend these models by modelling the regression residuals as ARMA and GARCH(l, 1) processes and investigate the effect on the resulting portfolios. We then introduce the topic of bounded influence regression and apply it to financial data by down weighting extreme returns prior to regression. A new weighting function is introduced in this dissertation and the effects on the efficient frontiers and resulting market portfolios for the chosen set of shares are investigated.

Degree

thesis:*
Grantor dc:publisher.institution
Department of Mathematics and Applied Mathematics
Year dc:date.issued
2008

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Steyn, Dirk
Advisor dc:contributor.advisor
  • Troskie, Casper G

Rights

Language dc:language.iso
eng

Identifiers

dc:identifier.*
Handle dc:identifier.uri
http://hdl.handle.net/11427/4933
OAI identifier oai:identifier
oai:open.uct.ac.za:11427/4933

Chain of custody

source
Harvested from
University of Cape Town
Base URL
open.uct.ac.za/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
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citation

Steyn, Dirk. Portfolio construction using index regression models. Department of Mathematics and Applied Mathematics, 2008. http://hdl.handle.net/11427/4933