American Journal of Applied Mathematics and Statistics
ISSN (Print): 2328-7306 ISSN (Online): 2328-7292 Editor-in-chief: Mohamed Seddeek
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American Journal of Applied Mathematics and Statistics. 2015, 3(3), 93-99
DOI: 10.12691/ajams-3-3-2
Open AccessCase Study

### Financial Modeling for Investment through Anticipated Annuities in Scenarios with Floating Interest Rate

2Jr. Financial Adviser at Actinver-Grupo Interacciones and Master Program at UCC, Veracruz, México

3Researcher at Instituto Tecnológico de Tuxtepec, Oaxaca, México

4General Accounting at IPEIMS S de RL de CV and Master Program at UCC Veracruz, México

Pub. Date: May 10, 2015

Cite this paper:
Arturo García-Santillán, Lizette Gutiérrez-Delgado, Celia Cristóbal-Hernández and Virginia Catalayud-Gutiérrez. Financial Modeling for Investment through Anticipated Annuities in Scenarios with Floating Interest Rate. American Journal of Applied Mathematics and Statistics. 2015; 3(3):93-99. doi: 10.12691/ajams-3-3-2

### Abstract

The aim of this work focuses on showing, through a hypothetical scenario with financial calculations, how to develop an investment with constant one-year deposit and reinvestment of dividends earned. To this end, the financial model includes a type of floating interest rate throughout the year, depending on the reference interest rate indicated by the "Banco de Mexico". For this reason in the hypothetical scenario we are considering changes in interest rates at the moment of reinvestment. Therefore, to make financial calculus, we utilized as reference interest rate, the interest rate TIIE (for its acronym in Spanish) Interest rate of Internal equilibrium, which is set by the “Banco de Mexico”. We utilized the formula of an annuity anticipated with cohorts, depending on the changes in the interest rate TIIE. The results obtained show the behavior of the investment over a year in which the interest earned at all times is reinvested, generating an effect known in Mexico as “anatocismo” or compounded interest.