Interest rates calculation in certain ordinary annuities
| dc.contributor.author | Flórez, M | |
| dc.contributor.author | Vera, M | |
| dc.contributor.author | Salazar-Torres, J | |
| dc.contributor.author | Huérfano, Y | |
| dc.contributor.author | Gelvez-Almeida, E | |
| dc.contributor.author | Valbuena, O | |
| dc.contributor.author | Vera, M I | |
| dc.contributor.author | Aranguen, M | |
| dc.date.accessioned | 2020-03-26T21:02:31Z | |
| dc.date.available | 2020-03-26T21:02:31Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | Certain annuities are annuities whose payments occur on fixed dates; while a certain ordinary annuity is one in which payments are made at the end of each established period. The calculation of the interest rate, which governs the certain ordinary annuity, involves the use of a non-analytical equation that requires the application of numerical techniques to obtain the value of the aforementioned rate. The literature indicates that any of these techniques requires one or several numerical values for initialization, which generally are estimated using trial techniques, graphical methods or values present in pre-established tables. Through this article, a new robust methodology is proposed that calculates the useful numerical values to initialize the linear interpolation technique, which is used to calculate the interest rate linked to the certain ordinary annuity. The proposed methodology generates initialization values, one by default and the other by excess, which allow us to limit the value of the certain ordinary annuity interest rate considered. Finally, we generated a new strategy that constitutes a novel mathematical model for interest rates calculation in the context of certain ordinary annuity. The percentage relative error obtained indicates the excellent performance of the aforementioned mathematical model. | eng |
| dc.format.mimetype | spa | |
| dc.identifier.issn | 17426596 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12442/5068 | |
| dc.language.iso | eng | eng |
| dc.publisher | IOP Publishing | eng |
| dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
| dc.rights.accessrights | info:eu-repo/semantics/openAccess | spa |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
| dc.source | Journal of Physics: Conference Series | eng |
| dc.source | Vol. 1414 (2019) | eng |
| dc.source.uri | https://iopscience.iop.org/article/10.1088/1742-6596/1414/1/012009/meta | eng |
| dc.subject | Mathematical model | eng |
| dc.subject | Interest rate | eng |
| dc.subject | Linear interpolation technique | eng |
| dc.title | Interest rates calculation in certain ordinary annuities | eng |
| dc.type | article | eng |
| dc.type.driver | article | eng |
| dcterms.references | Portus G 1997 Matemáticas financieras (Bogotá: McGraw Hill) | spa |
| dcterms.references | Burden R and Faires D 2010 Numerical analysis (Mexico: Cengage Learning) | eng |
| dcterms.references | Meza J 2017 Matemáticas financieras aplicadas (Bogotá: Ecoe Ediciones) | spa |
| dcterms.references | Baca G 2010 Fundamentos de ingeniería económica (México: Mc Graw-Hill) | spa |
| dcterms.references | Mena R 2017 Introducción al estudio de las matemáticas financieras (Barranquilla: Ediciones Universidad Simón Bolívar) | spa |
| dcterms.references | González G 1998 Matemática financiera: Intereses y anualidades ciertas (México: McGrawHill) | spa |
| dcterms.references | Cánovas R 2004 Matemáticas financieras, fundamentos y aplicaciones (México: Ediciones Trillas) | spa |
| dcterms.references | Smola A 1998 Learning with kernels (Germany: Technische Universität Berlin) | eng |
| dcterms.references | Gunn S 1998 Support vector machines for classification and regression (Southampton: Southampton University) | eng |
| dcterms.references | Suykens J, Gestel T and Brabanter J 2002 Least squares support vector machines Neural Processing Letters 9(3) 293 | eng |
| dcterms.references | Hamming R 1973 Numerical methods for scientist and engineers (New York: Dover Publications) | eng |
| dcterms.references | Meijering E 2002 A chronology of interpolation: From ancient astronomy to modern signal and image processing Proceedings of the IEEE 90(3) 319 | eng |
| oaire.version | info:eu-repo/semantics/publishedVersion | spa |
Archivos
Bloque original
1 - 1 de 1
Cargando...
- Nombre:
- Interest_rates_calculation.pdf
- Tamaño:
- 469.42 KB
- Formato:
- Adobe Portable Document Format
- Descripción:
Bloque de licencias
1 - 1 de 1
No hay miniatura disponible
- Nombre:
- license.txt
- Tamaño:
- 381 B
- Formato:
- Item-specific license agreed upon to submission
- Descripción: