Mathematical prediction of the annual marginal capital-output ratio based on a probabilistic random walk methodology
DOI:
https://doi.org/10.4067/S0718-88702023000100137Keywords:
Marginal capital product ratio, probability, macroeconomics, economic growth rateAbstract
It has been shown that the variability of the marginal capital product ratio is what determines the growth rate of economies according to Harrod’s model; therefore, it is important to predict its behavior. This paper develops a methodology based on probabilistic random walk to predict the annual marginal capital product ratio of Colombia for the year 2017 based on information from the Penn World Table database from 1993 to 2016. It was found that this variable has underlying mathematical orders, which allows its prediction with an accuracy of 97.69%.
Downloads
References
Bernal, J. R. (2008a). Inversión, progreso técnico y crecimiento económico: Más allá de Hussein y Thirlwall [Investment, technical progress and economic growth: Beyond Hussein and Thirlwall]. Revista CIFE, 13, 227–234.
Bernal, J. R. (2009). La volatilidad de la tasa de crecimiento de la economía: Una explicación desde el teorema de Harrod [The volatility of the economy's growth rate: An explanation from Harrod's theorem]. Revista CIFE, 15(15), 31–47. https://doi.org/10.15332/s2248-4914.2009.0015.02
Bernal, J. R. (2010). Un nuevo hecho estilizado del crecimiento: La relación marginal capital producto es muy volátil y determina la volatilidad de la tasa de crecimiento de la economía [A new stylized fact of growth: The marginal capital-output ratio is highly volatile and determines the volatility of the economy's growth rate]. Global Journal of Management and Business Research,, 4–17.
Bernal, J. R. (2011). Reflexiones acerca de los desarrollos recientes del modelo de crecimiento de Harrod [Reflections on recent developments in Harrod's growth model]. Revista CIFE, 18(18), 39–49. https://doi.org/10.15332/s2248-4914.2011.0018.01
Feenstra, R. C., Inklaar, R., & Timmer, M. P. (2015). The next generation of the Penn World Table. American Economic Review, 105(10), 3150–3182. https://www.ggdc.net/pwt. https://doi.org/10.1257/aer.20130954
Feynman, R. P., Leighton, R. B., & Sands, M. (1964). Probabilidad [Probability]. En R. P. Feynman, R. B. Leighton & M. Sands, Física (Vol. 1, pp. 6-1–6-16). Addison-Wesley Iberoamericana.
Grabowski, R., & Shields, M. (2000). A dynamic, Keynesian model of development. Journal of Economic Development, 25(1), 1–15.
Jones, H. G. (1988). Introducción a las teorías modernas del crecimiento económico [Introduction to modern theories of economic growth]. Antoni Bosch.
Laplace, P. (1995). Ensayo filosófico sobre las probabilidades [Philosophical essay on probabilities]. Atalaya.
Lavenda, B. (1990). El movimiento browniano [Brownian motion]. En A. Fernández-Rañada (Ed.), Orden y caos (pp. 28–37). Prensa Científica.
Mehlum, H. (2005). A note on Ramsey, Harrod-Domar, Solow and a closed form saddle path. Universitetet i Oslo. http://folk.uio.no/hmehlum/publications/atlast.pdf
Mood, A., Graybill, F., & Boes, D. (1974). Introduction to the theory of statistics (3.ª ed.). McGraw-Hill.
Mulligan, C. B., & Threinen, L. (2010). The marginal products of residential and non-residential capital through 2009 (NBER Working Paper N.º 15897). National Bureau of Economic Research. https://ideas.repec.org/p/nbr/nberwo/15897.html
Rodriguez, J. (2008). Teoría de unión al HLA clase II: Teorías de probabilidad combinatoria y entropía aplicadas a secuencias peptídicas [HLA class II binding theory: Combinatorial probability and entropy theories applied to peptide sequences]. Inmunología, 27(4), 151–166.
Rodriguez, J. O., Grisales, C., Barrios, F., Correa, S., Prieto, S., Jattin, J., et al. (2020). Application of fractal and Euclidean methods to differentiate normal and neoplastic thyroid cells. Indian Journal of Medical and Paediatric Oncology, 41(06), 874–878. https://doi.org/10.4103/ijmpo.ijmpo_204_19
Rodriguez, J., Jattin, J., & Soracipa, Y. (2020). Probabilistic temporal prediction of the deaths caused by traffic in Colombia. Accident Analysis and Prevention,, Article 105332.
Rodriguez, J. O., Medina, S., Soracipa, M. Y., Jattin, J. J., Paez, K., Guzman, E., et al. (2019). Confirmación de la metodología diagnóstica diseñada para evaluar la dinámica cardiaca aguda durante 15 horas [Confirmation of the diagnostic methodology designed to assess acute cardiac dynamics over 15 hours]. Gaceta Médica de Bilbao, 116(1), 9–15.
Rodriguez, J. O., Prieto, S. E., Correa, S. C., Perez, C. E., & Soracipa, M. Y. (2017). Dinámica de la epidemia de malaria en Colombia: Predicción probabilística temporal [Dynamics of the malaria epidemic in Colombia: Temporal probabilistic prediction]. Revista de Salud Pública, 19(1), 52–59.
Rodriguez, J., Prieto, S., Fajardo, E., Correa, C., Lopez, F., Castro, J., et al. (2015). Predicción de la dinámica temporal de egresos hospitalarios por obesidad en niños y jóvenes en Estados Unidos [Prediction of the temporal dynamics of hospital discharges for obesity in children and young people in the United States]. Revista Chilena de Nutrición, 42(4), 345–350.
Rodriguez, J. O., Villamizar, M. L., Correa, S. C., Laguado, E., Prieto, S. E., Pernett, F. B., et al. (2020). Aplicación de una metodología diagnóstica de los sistemas cardiacos en pacientes hipertensos fundamentada en las proporciones de la entropía [Application of a diagnostic methodology for cardiac systems in hypertensive patients based on entropy proportions]. Revista Latinoamericana de Hipertensión, 15, 339–344.
Wiener, N. (1958). Nonlinear problems in random theory. Technology Press.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2023 Jose Reyes Bernal-Bellon, Jaime Rodriguez, Javier Oswaldo Rodriguez Velasquez, Sandra Catalina Correa Herrera, Signed Esperanza Prieto Bohorquez, Jorge Eliecer Gaitan Mendez

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Article usage
- ViewsTimes this article's page was opened since the journal started recording statistics. One person can visit more than once.
- 239
- DownloadsTimes the full text of this article (usually the PDF) was opened or downloaded.
- 67
All time, as recorded by the journal.
Last 2 years: 74 views, 60 downloads.
CitationsTimes other scholarly works cited this article, according to OpenAlex and Crossref. The two indexes cover different sources, so their counts differ. : OpenAlex 1 · Crossref 1
0.28 downloads per view (journal average 1.65).Downloads of the full text for every abstract view of this article, compared with the whole journal.
Explore the journal's metrics
