IJPAM: Volume 119, No. 4 (2018)

Title

EFFICIENT PORTFOLIO SELECTION OF
SOME ASSETS IN THE NIGERIA MARKET

Authors

E.A. Adeleke$^1$, I. Adinya$^2$, M.E. Adeosun$^3$, S.O. Edeki$^4$
$^{1,2}$Department of Mathematics
University of Ibadan
Ibadan, NIGERIA
$^3$Department of Mathematics and Statistics
Osun State College of Technology
Esa-Oke, NIGERIA
$^4$Department of Mathematics
Covenant University
Canaanland, Ota, NIGERIA

Abstract

In any financial institution, an optimal portfolio of assets is correctly designed by some methods which include reliable mathematical programs called optimizers. Investors are often faced with the problem of selecting varying choices, as well as optimizing expected returns in the face of a high level of risk. This work therefore employs a quantitative approach to constructing portfolios by using a method of constrained optimization-the Lagrange multiplier method(LMM). The portfolio consisting of three assets namely: Stocks-Nigerian Stock Exchange Indices for a period of 10 years, Cash-Federal Government of Nigeria (FGN) 90 days Treasury Bills and Bonds-Federal Government of Nigeria (FGN) 12 year Bond was constructed. With the aid of a computational soft-package, the LMM was used to obtain an optimal solution for the minimization problem.

The result obtained shows a higher expected return for both Cash and Bonds than Stocks in the period under study, which depicts the prevailing economy situation in Nigeria.

History

Received: November 8, 2017
Revised: March 24, 2018
Published: July 29, 2018

AMS Classification, Key Words

AMS Subject Classification: 91G10, 91B30, 97M30
Key Words and Phrases: optimal portfolio, Lagrange multiplier, assets, expected return, risk

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Bibliography

1
H. Markowitz.Portfolio Selection.Journal of Finance 7: 77-98, (1952).

2
L. K. Chan, J. Karceski, J. Lakonishok.On Portfolio Optimization: Forecasting Covariances and Choosing Risk Model.The Review of Financial Studies 12(5): 937-974, (1999).

3
E. Vercher, J. D. Bermudez, J. V. Sergura.Fuzzy Portfolio Optimization under Downside Risk.Fuzzy Sets and Systems: 769-782, (2006).

4
B. Thomas, A. Murgosi, X. Y. Zhou.Mean-Variance Portfolio Optimization with State-Dependent Risk Aversion.Mathematical Finance 24: 1-24, (2014).

5
S. E. Kisaka, J. A. Mbithi, H. Kitur.Determining the Optimal Portfolio Size on the Nairobi Securities Exchange.Research Journal of Finance and Accounting 6: 215-229, (2015).

6
N. Bekkers, R. Q. Doeswijk, T. W. Lam. Determining the Optimal Portfolio with Ten Asset Classes.http://top1000funds.com/wp-content/uploads/2011/12/Strategic-Asset-Allocation.pdf, (2009).

7
A. I. Offiong, H. B. Riman, E. E. Eyo.Determining Optimal Portfolio in a Three-Asset Portfolio Mix in Nigeria.Journal of Mathematical Finance 6: 524-540, (2016.

8
S. O. Edeki, O.O. Ugbebor.On a Generalized Squared Gaussian Diffusion Model for Option Valuation.MATEC Web of Conferences, 125, 02015, (2017).

9
M. E. Adeosun, S.O. Edeki, O.O. Ugbebor.On a Variance Gamma Model (VGM) in Option Pricing: A Difference of Two Gamma Processes.Journal of Informatics and Mathematical Sciences, 8 (1), 1-16 (2016).

10
J. Norstad.Portfolio Optimization: Part 1- Unconstrained Portfolios.http://norstad.org/finance/portopt1.pdf, (2002).

How to Cite?

DOI: 10.12732/ijpam.v119i4.7 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2018
Volume: 119
Issue: 4
Pages: 651 - 660


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