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Optimal asset allocation and capital adequacy management strategies for Basel III compliant banks
(University of the Western Cape, 2015)
In this thesis we study a range of related commercial banking problems in discrete and continuous time settings. The first problem is about a capital allocation strategy that optimizes the expected future value of a commercial ...
The role of visualization in the teaching and learning of multivariate calculus and systems of ordinary differential equations
(University of the Western Cape, 2015)
The purpose of this study was to investigate the role of visualization in the conceptualisation and solution of problems in multivariate calculus and dynamical systems. The theoretical basis, and the visual and analytical ...
Character tables of some selected groups of extension type using Fischer-Clifford matrices
(University of the Western Cape, 2015)
The aim of this dissertation is to calculate character tables of group extensions. There are several well developed methods for calculating the character tables of some selected group extensions. The method we study in ...
Mathematical model of performance measurement of defined contribution pension funds
(University of the Western Cape, 2015)
The industry of pension funds has become one of the drivers of today’s economic activity by its important volume of contribution in the financial market and by creating wealth. The increasing importance that pension funds ...
Mathematical modeling in the sustainable use of natural resources.
(University of the Western Cape, 2015)
The sustainable use of natural resources is of utmost importance for every community. In particular, it is important for every given generation to plan in such a way that proper provision is made for future generations. ...
Mathematical modelling of HIV/AIDS with recruitment of infecteds
(University of the Western Cape, 2015)
The influx of infecteds into a population plays a critical role in HIV transmission. These infecteds are known to migrate from one region to another, thereby having some interaction with a host population. This interactive ...
Do money managers outperform their respective benchmark? Evidence from South African Unit Trust industry
(University of the Western Cape, 2015)
Motivated by the growing attraction of the mutual fund industries across the world, this research seeks to explore the economic benefits contributed by the South African equity unit trust managers over the period from 1 ...