IIARD International Institute of Academic Research and Development

INTERNATIONAL JOURNAL OF APPLIED SCIENCES AND MATHEMATICAL THEORY (IJASMT )

E- ISSN 2489-009X
P- ISSN 2695-1908
VOL. 9 NO. 1 2023
DOI: https://doi.org/10.56201/ijasmt.v9.no1.2023.pg31.41

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Comparative Effectiveness of Melin Integral Transform and Harmonized Dimensional Integral Transform in Capital Market Efficiencies

Obiageri E Ogwo and Aharanwa Boniface Chinedu

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Abstract

Melin transform is an integral transform which has been proposed for many types of physical and economical system even in perpetual option pricing. In financial market price stability, we observed that it is weakly efficient. We herein presented harmonized dimensional integral transform as a generalized state of the melin transform with the aim of testing for market efficiency. The effect of our approach is that, the technique is stable and a strongly efficient model for capital market, having a significant impact on returns and taking account of issues of positive bias natures of investors which the melin integral transform ignores. In addition, the model allows one to define an optimal positioning between a reduction in market and likelihood of a bankruptcy within the given time horizon.

keywords:

Melin Transform, Harmonized transform, Capital Market efficiency, Normal Gussianand RaydonNicodyn. Academic Discipline: Financial Mathematics.

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References:

Barndorff-Nielsen ,O.E., Mikosch,T. and Resnick, S. (Eds.) (2001) Levy Processes – Theory and
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Barndorff-Nielsen ,O.E.,andShephard,N.(2000) Modelling by Levy Processes for financial
Econometrics. In O.E. Barndorff-Nielsen ,O.E., Mikosch,T. and Resnick, S. (Eds.)
(2001) Levy Processes – Theory and Application. Boston: Birkhauser, 283-318.

B. B.Mandelbrot, The Variation Of Certain Speculative Prices. Journal OfBusiness XXXVI
(1965) 392-417.

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