Stochastic Analysis for Assessment of Asset Value Changes in Oando, PLC

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Published: 2023-09-11

Page: 345-356

Azor P. A. *

Department of Mathematics & Statistics, Federal University, Otuoke, Nigeria.

Emomotimi A. T.

Department of Mathematics & Statistics, Federal University, Otuoke, Nigeria.

Amadi I. U.

Department of Mathematics & Statistics, Captain Elechi Amadi Polytechnics, Port Harcourt, Nigeria.

*Author to whom correspondence should be addressed.


Assessment of assets is a process used by companies to allocate their resources between present and future. The importance of asset evaluation is to ensure that the assets are carried at no more than their recoverable amount and to define how recoverable amount is determined. In this paper valuation analysis of the asset is done using normal and lognormal distributions. As a result a stochastic model of asset value functions is considered. A Close form analytical solutions were obtained by means of Ito’s theorem which gave precise measures and conditions of generating asset values through lognormal and normal distributions. The effects of time on asset values were critically examined and results shows as follows:  an increase in time significantly increases the value of asset returns for both distributions; the return rate that follows normal distribution is the best in terms of precisions and it also connotes that investment plans and its profits making generally follows a normal distribution; a little increase in time when the expected return rates are fixed; significantly increases its asset values. That is to say, that lognormal distribution is highly influenced by time factors while normal distribution is not dominated by time which implies that it has short or little rate of convergence; lognormal plots are unstable as they reach the optimum levels while normal plots are stable throughout the period of trading and can be predicted to enhance effective running of investments over time. To this end, all this are purposes of investment plans as it affects asset value functions in financial market.

Keywords: Asset value, lognormal and normal distributions, SDEs and stochastic analysis

How to Cite

Azor P. A., Emomotimi A. T., & Amadi I. U. (2023). Stochastic Analysis for Assessment of Asset Value Changes in Oando, PLC. Asian Journal of Pure and Applied Mathematics, 5(1), 345–356. Retrieved from


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Osu BO. A Stochastic Model of the Variation of the Capital Market Price. International Journal. Trade Economics. Finance. 2010;1:297 -302.

Elzaki TM. The New Integral Transform Elzaki Transform. Global Journal Pure Applied. Mathematics. 2011;7:57-64.

Aggarwal S, Singh DP, Asthana N, Gupta AR. Application of Elzaki transform Solving Population Growth and delay Problems. International Journal Emerging Technology. Innovative Resource. 2018;9:281 -284.

Osu BO, Obike DK, Ohams MO, Amaraih, S. Superlative Analysis of Mohand, Aboodh and Elzaki Transforms to the Solution of a certain Partial Differential Equation with Financial Application. International Journal Basic Science Technology. 2020;6:14 -18.

Bennion DW, Griffiths JC. A Stochastic Model for Predicting Variations in Reservoir Rock Properties. Soc. Pert. Eng. Journal. 1996;6:9 -16.

Amadi IU, Igbudu R, Azor PA. Stochastic Analysis of the Impact Growth-Rates on Stock Market Prices in Nigeria. Asian Journal Economics. Business Account. 2021;21:9-21.

Wokoma DSA (Bishop), Amadi IU, Aboko ISA. Stochastic Analysis of Stock Market Price Variation. Asian Research Journal of Mathematics. 2022;18:41-49.

Osu BO, Amad, IU. A Stochastic Analysis of Stock Market Price Fluctuations for Capital Market. Journal of Applied Mathematics Computer, 2022;6:85-95.

Davies I, Amadi IU, Ndu RI. Stability Analysis of Stochastic Model for Stock Market Prices. International Journal of Mathematics Computer Methods. 2019;4:79-86.

Osu BO, Okoroafor AC, Olunkwa C. Stability Analysis of Stochastic Model of Stock Market Price. African Journal of Mathematics Computer Science Research. 2009;2:98-103.

Adeosun ME, Edeki SO, Ugbebor OO. Stochastic Analysis of Stock Market Price Models: A Case Study of the Nigerian Stock Exchange (NSE). WSEAS Trans. Math. 2015;14:352-363.

Ofomata AIO, Inyama SC, Umana RA, Omame A. A Stochastic Model of the Dynamics of Stock Price for Forecasting. Journal of Advance Mathematics Computer Science. 2018;25.

DOI: 10.9734/JAMCS/2017/38014

Amadi IU, Charles A. Stochastic analysis of time -varying investment returns in capital market domain. International Journal of Mathematics and Statistics Studies. 2022;10(3):28-38.

Amadi IU, Okpoye OT. Application of Stochastic Model in Estimation of Stock Return rates in Capital Market Investments. International journal of Mathematical Analysis and Modelling. 2022;5(2):1-14.6.

Okpoye OT, Amadi IU, Azor PA. An empirical Assessment of asset value function for capital market price changes. International Journal of Statistics and Applied Mathematics. 2023;8(3):199-205.

Osu BO, Amadi lU. A stochastic Analysis of stock Market price Fluctuation for capital market, Journal of Applied Mathematics and Computation. 2022;6(1):85-95.

Amadi IU, Uchechukwu CF, Azor PA. The Effects of Initial Stock Prices on the Analysis of Asset Value Function for Capital Market, Asian Journal of Economics, Finance and Management. 2023;5(1):255-264.