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Generalized Methods on Access Bank Share Price Changes and Variations in Nigeria Stock Market CHIGOZIE, Okere; ELE, Chims Benjamin; UCHENNA, Amadi Innocent
Journal of Entrepreneurial and Business Diversity Vol. 1 No. 4 (2023): Journal of Entrepreneurial and Business Diversity. (October – December)
Publisher : PT. Keberlanjutan Strategis Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.38142/jebd.v1i4.108

Abstract

Purpose: Stock market performance and operation have been widely recognized as a viable investment field in financial markets. This paper studied the share price movement of Access Bank, PLC.Methodology:The share price data was subjected to a 3-step transition matrix for independent share prices, which enabled us to proffer precise conditions for obtaining future share price changes and placed criteria that enabled us to come up with a 2x2 matrix solution of Principal Component Analysis (PCA) on the share price of Access bank.Findings: The solution matrix of the stochastic analysis showed that Access Bank PLC has the best probability of price increasing shortly by 12%, the best probability of reducing in the future by 21%, and the best probability of no change shortly by 20%.Implication:More so, an increase in the trading days also increases the value of future share price changes, and other statistical variables were also found. Finally, the influences of the relevant parameters of stock market variables were effectively discussed in this paper.
Stochastic Analysis of Markov Chain In Finite State: Empirical Evidence on Nigerian Current Account Net Movements UCHENNA, Amadi Innocent; UCHECHI, Ahana; ELE, Chims Benjamin
Journal of Entrepreneurial and Business Diversity Vol. 1 No. 4 (2023): Journal of Entrepreneurial and Business Diversity. (October – December)
Publisher : PT. Keberlanjutan Strategis Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.38142/jebd.v1i4.112

Abstract

Purpose: The Current Account is an essential indicator of an economy's speed. It is because it is defined as the sum of trade balance, net income from abroad, and net current transfers. Therefore, the impression of the Markov chain is a viable instrument for investigating the Nigerian Current Account (NCA) formation in finite since each finite state interconnects for suitable decision-making. Thus, this dissertation studied the stochastic analysis of the Markov chain on NCA data (2004-2022).Methodology:The NCA data were transformed into a 3-step transition probability matrix solution to cover independent years. The future NCA data changes were known by introducing a time interval of three years as row vectors.Findings: The solution matrix of the stochastic analysis showed that 2004-2012 has the highest probability of reducing payments by 72%, the year 2005-2013 has the highest probability of reducing by 66%, and finally, 2014-2022 has the highest probability of no-change in payments of goods and services by 3.3%.Implication:Finally, other statistical variations were also considered and discussed in this paper. All this informs the Nigerian economy on the proper way to make vital decisions effectively and are hopeful for future investment plans both short and long term respectively.
Existence of Weak Solution for Black-Scholes Partial Differential Equation and Application of Energy Estimate Theorem in Sobolev Space UCHENNA, Amadi Innocent; JACHI , Jaja
Loka: Journal Of Environmental Sciences Vol. 1 No. 3 (2024): Loka: Journal Of Environmental Sciencesy (July – September)-In Press
Publisher : PT. Keberlanjutan Strategis Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.38142/ljes.v1i3.170

Abstract

Purpose:This paper aims to solve the BS second-order parabolic equation in Sobolev spaces to obtain weak solutions for financial applications, extending previous work in this field.Methodology:This paper constructs a set of functions that transforms the Black-Scholes partial differential equation into weak formulations. This study focuses on the Mathematics of finance, particularly the evolution of option pricing. An option's underlying asset involves agreements to buy or sell at a future strike price. The Black-Scholes (BS) equation, widely used in financial applications, models this.Findings:The analytical solutions, existence, uniqueness and other estimates were also obtained in weak form using boundary conditions to establish the effects of their financial implications in Sobolev spaces.Implication:The problem's regularity conditions were considered, and the coefficients and boundary of the domain are all smooth functions. To this end, this paper illustrates the definitions and assumptions that led to valuable assertions.