A Mathematical Approach to a Stocks Portfolio Selection: The Case of Uganda Securities Exchange (USE)

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dc.contributor.authorMayanja, Fredrick
dc.contributor.authorMataramvura, Sure
dc.contributor.authorCharles, Wilson M.
dc.date.accessioned2016-09-21T12:06:36Z
dc.date.available2016-09-21T12:06:36Z
dc.date.issued2013
dc.description.abstractIn this paper, we present the problem of portfolio optimization under investment. This area of investment is traced with works of Professor Markowitz way back in 1952. First, we determine the probability distribution of the Uganda Securities Exchange (USE) stocks returns. Secondly, we develop unrestricted portfolio optimization model based on the classical Modern Portfolio Optimization (MPT) model, and then we incorporate certain restrictions typical of the USE trading or investment environment and hence, develop the modified restricted model. Thirdly, we explore the possibility of diversification under a portfolio of averagely correlated assets. Determination of the model parameters and model development is all done using Excel spreadsheets. We explicitly go through the mathematics of the solution methods for both models. Validation of the models is done using the USE stocks daily trading data, in which case we use a random sample of 6 stocks out of the 13 stocks listed at the USE. To start with, we prove that USE stocks log returns are normally distributed. Data analysis results and the frontier curves show that our modified (restricted) model is valid as the solutions are all consistent with the theoretical foundations of the classical MPT-model but inferior to the unrestricted model. To make the model more useful, accurate and easy to apply and robust, we programme the model using Visual Basic for Applications (VBA). We therefore recommend that before applying investment models such as the MPT, model modifications must be made so as to adapt them to particular investment environments. Moreover, to make them useful so as to serve the intended purpose, the models should be programmed so as to make implementation less cumbersome.en_US
dc.identifier.citationMayanja, F., Mataramvura, S. and Charles, W.M., 2013. A Mathematical Approach to a Stocks Portfolio Selection: The Case of Uganda Securities Exchange (USE). Journal of Mathematical Finance, 3(04), p.487.en_US
dc.identifier.doi10.4236/jmf.2013.34051
dc.identifier.urihttp://hdl.handle.net/20.500.11810/3781
dc.language.isoenen_US
dc.publisherScientific Researchen_US
dc.subjectPortfolio Optimisationen_US
dc.subjectUganda Securities Exchange (USE)en_US
dc.subjectStocksen_US
dc.subjectModern Portfolio Theory (MPT)en_US
dc.subjectMarkowitzen_US
dc.subjectPortfolio diversificationen_US
dc.subjectFrontieren_US
dc.subjectEfficient frontieren_US
dc.titleA Mathematical Approach to a Stocks Portfolio Selection: The Case of Uganda Securities Exchange (USE)en_US
dc.typeJournal Article, Peer Revieweden_US
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