Diversification of Stationary Data for Optimizing Risk of Portfolio

  • D. Jayeola Department of Mathematical Sciences, Adekunle Ajasin University, Akungba Akoko, Ondo State, Nigeria
  • P. O. Aye Department of Mathematical Sciences, Adekunle Ajasin University, Akungba Akoko, Ondo State, Nigeria
  • B. E. Adegbite Federal College of Education, Iwo Osun State, Nigeria
Keywords: asset, correlation, covariance, mean, variance, return

Abstract

Diversification is a process of distributing capital that minimizes the exposure of each individual asset. The purpose of diversification is to minimize risk. This paper examines how these two strategies (stationary and non-stationary) can minimize portfolio risk. To achieve this, data on palm oil and copper from 2010 to 2016 are explored, and two methods are used: correlation and mean-variance. Diversification has different degrees, and correlation is used to check the degree of diversification of the two types of data, while the mean-variance method (MV) is used to estimate the risk of the two datasets after the correlation. The analyses in this paper show that the correlation of stationary data leads to moderately weak diversification, while non-stationary data results in very weak diversification. In estimating the risk of the two datasets, stationary data diversifies 93% of the risk, while non-stationary data diversifies 6%. This shows that stationary data minimizes portfolio risk more effectively than non-stationary data.

References

Black, F., & Litterman, R. (1991). Global asset allocation with equities, bonds, and currencies. Fixed Income Research Handbook, 2, 15-28.

Bhadrappa, H. (2021). Millennial and mobile-savvy consumers are driving a huge shift in the retail banking industry. Journal of Advanced Research in Operational and Marketing Management, 4(1), 17-19.

Jayeola, D., Ismail, Z., & Sufahani, S. F. (2017). Effects of diversification of assets in optimizing risk of portfolio. Malaysian Journal of Fundamental and Applied Sciences, 13(4), 584-587. https://doi.org/10.11113/mjfas.v0n0.567

Carrieri, F., Errunza, V., & Hogan, K. (2016). Characterizing world market integration through time. Journal of Financial and Quantitative Analysis, 42(4), 915-940. https://doi.org/10.1017/S0022109000003446

Davis, M. H., & Lleo, S. (2016). A simple procedure for combining expert opinion with statistical estimates to achieve superior portfolio performance. The Journal of Portfolio Management, 42(4), 49-58. https://doi.org/10.3905/jpm.2016.42.4.049

Sewando, P. T. (2022). Efficacy of risk reducing diversification portfolio strategies among agro-pastoralists in semi-arid areas: A modern portfolio approach. Journal of Agriculture and Food Research, 7(3), 55-67. https://doi.org/10.1016/j.jafr.2021.100262

Isabel, A., Maria, J. C., Luis, M., & Armajac, R. (2021). Sport betting and the Black-Litterman model: A new portfolio management perspective. International Journal of Sport Finance, 16(4), 52-61. https://doi.org/10.32731/ijsf/164.112021.02

Jayeola, D., & Ismail, Z. (2016). Effects of correlation on diversification of precious metals and oil. Applied Mathematical Sciences, 10(27), 1343-1352. https://doi.org/10.12988/ams.2016.6135

Markowitz, H. (1959). Portfolio selection: Efficient diversification of investment. New York: John Wiley and Sons, Inc.

Matteo, M., Brent, N., & Jesse, S. (2020). International currencies and capital allocation. Journal of Political Economy, 128(6), 2019-2066. https://doi.org/10.1086/705688

Vinay, K. (2018). A simplified perspective of the Markowitz portfolio theory. International Journal of Research and Analytical Reviews, 5(3), 193-196.

Published
2024-10-24
How to Cite
Jayeola, D., Aye, P. O., & Adegbite, B. E. (2024). Diversification of Stationary Data for Optimizing Risk of Portfolio. Earthline Journal of Mathematical Sciences, 14(6), 1259-1266. https://doi.org/10.34198/ejms.14624.12591266
Section
Articles