Analysis of Investment Returns as Markov Chain Random Walk

The main objective of this paper is to analyse investment returns using a stochastic model and inform investors about the best stock market to invest in. To this effect, a Markov chain random walk model was successfully developed and implemented on 450 monthly market returns data spanning from Janua...

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Main Authors: Felix Okoe Mettle, Emmanuel Kojo Aidoo, Carlos Oko Narku Dowuona, Louis Agyekum
Format: Article
Language:English
Published: Wiley 2024-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2024/3966566
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author Felix Okoe Mettle
Emmanuel Kojo Aidoo
Carlos Oko Narku Dowuona
Louis Agyekum
author_facet Felix Okoe Mettle
Emmanuel Kojo Aidoo
Carlos Oko Narku Dowuona
Louis Agyekum
author_sort Felix Okoe Mettle
collection DOAJ
description The main objective of this paper is to analyse investment returns using a stochastic model and inform investors about the best stock market to invest in. To this effect, a Markov chain random walk model was successfully developed and implemented on 450 monthly market returns data spanning from January 1976 to December 2020 for Canada, India, Mexico, South Africa, and Switzerland obtained from the Federal Reserves of the Bank of St. Louis. The limiting state probabilities and six-month moving crush probabilities were estimated for each country, and these were used to assess the performance of the markets. The Mexican market was observed to have the least probabilities for all the negative states, while the Indian market recorded the largest limiting probabilities. In the case of positive states, the Mexican market recorded the highest limiting probabilities, while the Indian market recorded the lowest limiting probabilities. The results showed that the Mexican market performed better than the others over the study period, whilst India performed poorly. These findings provide crucial information for market regulators and investors in setting regulations and decision-making in investment.
format Article
id doaj-art-b0bcdd6c4c0147a9ab621ffc9527f224
institution Kabale University
issn 1687-0425
language English
publishDate 2024-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-b0bcdd6c4c0147a9ab621ffc9527f2242025-02-03T01:29:31ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252024-01-01202410.1155/2024/3966566Analysis of Investment Returns as Markov Chain Random WalkFelix Okoe Mettle0Emmanuel Kojo Aidoo1Carlos Oko Narku Dowuona2Louis Agyekum3Department of Statistics and Actuarial ScienceDepartment of Computer Science & Information SystemsPublic Works DepartmentDepartment of Statistics and Actuarial ScienceThe main objective of this paper is to analyse investment returns using a stochastic model and inform investors about the best stock market to invest in. To this effect, a Markov chain random walk model was successfully developed and implemented on 450 monthly market returns data spanning from January 1976 to December 2020 for Canada, India, Mexico, South Africa, and Switzerland obtained from the Federal Reserves of the Bank of St. Louis. The limiting state probabilities and six-month moving crush probabilities were estimated for each country, and these were used to assess the performance of the markets. The Mexican market was observed to have the least probabilities for all the negative states, while the Indian market recorded the largest limiting probabilities. In the case of positive states, the Mexican market recorded the highest limiting probabilities, while the Indian market recorded the lowest limiting probabilities. The results showed that the Mexican market performed better than the others over the study period, whilst India performed poorly. These findings provide crucial information for market regulators and investors in setting regulations and decision-making in investment.http://dx.doi.org/10.1155/2024/3966566
spellingShingle Felix Okoe Mettle
Emmanuel Kojo Aidoo
Carlos Oko Narku Dowuona
Louis Agyekum
Analysis of Investment Returns as Markov Chain Random Walk
International Journal of Mathematics and Mathematical Sciences
title Analysis of Investment Returns as Markov Chain Random Walk
title_full Analysis of Investment Returns as Markov Chain Random Walk
title_fullStr Analysis of Investment Returns as Markov Chain Random Walk
title_full_unstemmed Analysis of Investment Returns as Markov Chain Random Walk
title_short Analysis of Investment Returns as Markov Chain Random Walk
title_sort analysis of investment returns as markov chain random walk
url http://dx.doi.org/10.1155/2024/3966566
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