A stochastic model of asset pricing function with additive effects series for capital market prices

##article.authors##

  • I.U. Amadi* Department of Mathematics and Statistics, Captain Elechi Amadi Polytechnics, Port Harcourt, Nigeria.
  • L.E. Ebakpa† Department of Mathematics and Statistics, Ignatius Ajuru University of Education, Rumuolumeni, Port Harcourt, Nigeria
  • P.A. Azor‡ Department of Mathematics and Statistics, Federal University, Otuoke, Nigeria

##semicolon##

asset value, Kolmogorov –Smirnov (KS), additive effects, SDE and SDDE

##article.abstract##

In this paper, a combination of two stochastic systems namely: Stochastic Differential Equation (SDE) and Stochastic Delay Differential Equation (SDDE) respectively were considered. A closed form analytical solutions were presented in details which determined asset values through additive effects series. The validity of the analytical solution were obtained and verified using
initial stock prices; which were explicitly analysed using Kolmogorov-Smirnov and results showed that the two asset values do not come from a common distribution. Finally, the impressions of other key stock quantities were discussed and graphical results presented using MATLAB.

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##submissions.published##

2023-10-31

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