Volume 5, Issue 3, September 2020, Page: 61-69
Portfolio Optimization for Stock Market in Ghana Using Value-at-Risk (VaR)
Eric Kwame Austro Gozah, Mathematics Department, Dambai College of Education, Dambai, Ghana
Eric Neebo Wiah, Department of Mathematical Sciences, Faculty of Engineering, University of Mines and Technology, Tarkwa, Ghana
Albert Buabeng, Department of Mathematical Sciences, Faculty of Engineering, University of Mines and Technology, Tarkwa, Ghana
Paul Yaw Addai Yeboah, Head, University Relations Office, University of Mines and Technology, Tarkwa, Ghana
Received: Jun. 10, 2020;       Accepted: Jun. 23, 2020;       Published: Jul. 6, 2020
DOI: 10.11648/j.ajmcm.20200503.11      View  207      Downloads  79
Abstract
The study was conducted to identify the performing stocks as well as examine the portfolio optimization with associated Value at Risk (VaR) for some selected stocks on the Ghana Stock Exchange (GSE). A historical data of 15 companies categorized into Financial Stock Index (FSI) and Composite Index (CI) from 2000 to 2017 were obtained from Bank of Ghana (BoG), Ghana Stock Exchange (GSE) and Gold Coast Security (GCS). From the study, ETI, HFC, SIC, TOTAL, FML, UNIL and GOIL stocks were identified to be over performing on the Ghana Stock Exchange. Also, CAL, EBG, ALW, AYRTN, GOIL were identified as aggressive stocks; GCB, SCB, TOTAL, GGBL as defensive stocks; and ETI, HFC, SIC, FML, PZC, UNIL as inversely moving towards the market return. The optimal portfolio asset allocation, for the minimum VaR portfolio showed a marginal diversification in other stocks in the cases of FSI, but greater portion was invested in HFC. However, in the case of CI displayed no indication of diversification in the portfolio as 67.30% of investors invested in AYRTN and only 32.70% in the remaining securities. The study then proceeded to find the optimal portfolio with risk-free asset for both indexes. It was recommended that further study should extend the approaches used by considering Conditional Value at Risk (CVaR) as the VaR measure does not give any information about potential losses in the worst cases.
Keywords
Stock, Financial Stock Index, Composite Index, VaR, Portfolio, Optimization
To cite this article
Eric Kwame Austro Gozah, Eric Neebo Wiah, Albert Buabeng, Paul Yaw Addai Yeboah, Portfolio Optimization for Stock Market in Ghana Using Value-at-Risk (VaR), American Journal of Mathematical and Computer Modelling. Vol. 5, No. 3, 2020, pp. 61-69. doi: 10.11648/j.ajmcm.20200503.11
Copyright
Copyright © 2020 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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