Analysis of the Effects of Diversification for Dar Es Salaam Stock Exchange Optimal Portfolio
Applied and Computational Mathematics
Volume 3, Issue 5, October 2014, Pages: 205-216
Received: Aug. 19, 2014;
Accepted: Aug. 30, 2014;
Published: Sep. 20, 2014
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Phares Kaboneka, Department of Applied Mathematics and Computational Science and Engineering, Nelson Mandela African Institution of Science and Technology, Arusha, Tanzania
Wilson Mahera Charles, Department of Applied Mathematics and Computational Science and Engineering, Nelson Mandela African Institution of Science and Technology, Arusha, Tanzania; Department of mathematics, University of Dar Es Salaam (UDSM), Dar Es Salaam, Tanzania
Silas Mirau, Department of Applied Mathematics and Computational Science and Engineering, Nelson Mandela African Institution of Science and Technology, Arusha, Tanzania
Dar es Salaam stock exchange (DSE) market is among the stock markets dealing with financial securities transactions and it operates under the brokerage system. Different individuals have little knowledge on how these stock markets operate and many of them fear to invest in stock business because they don’t have the base line of their decision especially on the risk bearings. This paper is based solely on DSE stocks data for the period of past nine years and it tries to give out the nature of return of the stocks, the effects on restrictions at the DSE stock environment to the stock returns and also it explores the effect of diversification on return and on risk (standard deviation). The study uses the classical Markowitz Modern Portfolio Theory (MPT) model in its analysis with little modification so as to meet with the DSE environment. Data from DSE was analysed by using the excel solver and its macros like the solver add – in. After the analysis it is observed that restrictions have an effect on the stock risk and return, where it reduce risk and increases return because the unconstrained frontier is greater than the constrained frontier. Moreover it is found that for the diversification to have a significant effect the stocks have to be nearly or perfectly negatively correlated.
Wilson Mahera Charles,
Analysis of the Effects of Diversification for Dar Es Salaam Stock Exchange Optimal Portfolio, Applied and Computational Mathematics.
Vol. 3, No. 5,
2014, pp. 205-216.
Gary C, and Uri G, (2010), portfolio choice and risk attitudes: an experiment, Economic Inquiry (ISSN 0095-2583), Vol. 48, No. 1, January 2010, 133 – 146
Robert J. Barro (1990), the review of financial studies, department of Economics, Harvard University, Littauer 120, Cambridge, MA 02138
Darrel, D. and singleton K, (2003) Credit Risk: Pricing Measurement and Management, Sci.Aging knowl.Environ 2003(44), or 23
Edwin J. Elton and Martin J. Gruber, "Modern portfolio theory, 1950 to date", Journal of Banking & Finance 21 (1997) 1743-1759
Markowitz, H. 1952, ‘Portfolio Selection,’ Journal of Finance, 7, 77-99. Efficient frontiers using estimated parameters. Ann. Operations
Sharpe,W, F, (1964) Capital asset prices: A theory of market equilibrium under conditions of risk." Journal of Finance 19 (3): 425-442.
Craig W. Hoden (2008), Excel modelling and Estimation in Investment (third Edition), Prentice Hall inc, upper saddle River. New Jersey 07458
Ziemba, W. T., (1993), the effect of errors in means, variances and covariance on optimal portfolio choice, J. Portfolio Management, (Winter) 6-11
Tobin, James. (1958a) Liquidity Preference as Behavior towards Risk. Review of Economic Studies 25 (2): 65–86
Broadie, M, (1993), Computing efficient frontiers using estimated parameters, Ann, Operations Research 45 (1): 21-58
Konno, H., (1988), Portfolio Optimization using LI Risk Function IHSS Report 88-9, Inst. of Human and Social Sciences, Tokyo Institute of Technology.
Puelz, A.V, (2002) A Stochastic Convergence Model for Portfolio Selection." Operations Research 50 (3): 462-476.
Konno, H, Yamazaki, H, (1991), Mean-Absolute Deviation Portfolio Optimization Model and Its Applications to Tokyo Stock Market." Management Science 37 (5): 519-531.
F. Mayanja, S. Mataramvura and W. Charles, (2011), "A Mathematical Approach to a Stocks Portfolio Selection: The Case of Uganda Securities Exchange (USE)," Journal of Mathematical Finance, Vol. 3 No. 4, 2013, pp. 487-501. doi: 10.4236/jmf.2013.34051.
Nitis Mukhopadyyay, (2000), Probability and Statistics Inference. University of Connecticut Storrs, Connecticut. Marcel Dekker, Inc.
Vern Sumnicht, (2008) Practical Applications of Post-Modern Portfolio Theory.
Loeper B. David, (2000) Modern Portfolio Reality (MPR).The Failures of Modern Portfolio Theory", Finance ware, Inc.