Stochastic Model on the Assessment of Asset Values for Economic Investments

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Published: 2023-08-08

Page: 245-254

I. U. Amadi *

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

R. Tamunotonye

Department of Mathematics & Statistics, Ignatius Ajuru University of education, Rumuolumeni, Port Harcourt, Nigeria.

P. A. Azor

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

*Author to whom correspondence should be addressed.


The Stochastic Differential Delay Equation (SDDE) is well known prevailing mathematical tools used for the estimation of asset values over time; which impels the entire financial authority of every trader or investor. Therefore, this paper studied the concept of asset values with delay parameter in the model. The defined conditions which governed asset values as a result of delay parameter were obtained. Finally, the graphical results, Tables and other interpretations of relevant stochastic variables were discussed to show the validity of the proposed model.

Keywords: Asset value, periodic events, multiplicative effects, SDE and SDDE

How to Cite

Amadi , I. U., Tamunotonye , R., & Azor , P. A. (2023). Stochastic Model on the Assessment of Asset Values for Economic Investments. Asian Journal of Economics, Finance and Management, 5(1), 245–254. Retrieved from


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Mao X. Stochastic Differential Equations and Applications. Elsevier; 2007.

Buldu JM, Garcia-Ojalvo J, Mirasso CR, Torrent M, Sancho J. Effect of External Noise Correlation in Option Coherence Resonance, Physical Review E. 2001;64(5):051109.

Masoller C. Numerical Investigation of Noise-Induced Resonance in a Semiconductor Laser with Optical Feedback, Physical D: Nonlinear Phenomena. 2002;168:171-176.

Eurich CW, Milton JC. Noise-Induced Transitions in Human Postural Sway, Physical Review E. 1996;54(6): 6681.

Longtin A, Milton J, Bos E, Mackey MC. Noise and critical behaviour of the pupil light reflex at Oscillation onset, Physical Review A. 1990;41(12):6992.

Peterka RJ. Postural control model interpretation of stabilogram diffusion analysis, Biological Cybernetics. 2000;82(4):335-343.

Arriojas M, Hu Y, Mohammed SE, Pap G. A Delayed black and scholes formula, Stochastic Analysis and Applications. 2007;25(2):471-492.

Chang MH, Youree RK. The European option with hereditary price structures: Basic Theory, Applied Mathematics and Computation. 1999;102(2):279-296.

Hobson DG, Rogers L. Complete models with stochastic volatility, Mathematical Finance, 1998;8(1):27-48.

Beretta E, Kolmanovskii V, Shaikhet L. Stability of epidemic model with time delays influenced by stochastic perturbations, Mathematics and Computers in Simulation. 1998;45(3):269-277.

Bocharov GA, Rihan FA. Numerical modelling in biosciences using delay differential equations, Journal of Computational and Applied Mathematics. 2000;125(1):183-199.

Baker CT, Buckerwar E. Numerical analysis of explicit 0ne-step methods for stochastic delay differential equations, LMS Journal of Computation and Mathematics. 2000;3:315-335.

Peters EE. Chaos and order in the capital markets: a new view of cycles, prices, and market volatility. John Wiley & Sons; 1996 Aug 30.

Stoica G. A Stochastic Delay Financial Model, Proceedings of the American Mathematical Society. 2005;133(6):1837-1841.

George KK, Kenneth KL. Pricing a European Put Option by numerical methods. International Journal of Scientific Research Publications. 2019;9(11):2250-3153.

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.

Lambert D, Lapeyre B. Introduction to Stochastic Calculus Applied to Finance. CKC Press; 2007.

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.