Math Calculation and Financial Literacy: The Incidence of Geometric Progressions in the Calculation of Financial Interest
Abstract
:1. Introduction
2. Literature Review
3. Materials and Methods
4. Results
5. Discussion
6. Conclusions
Funding
Data Availability Statement
Conflicts of Interest
References
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Variables | Concepts/Questions | Coding/Source |
---|---|---|
Arithmetic and geometric progressions | Arithmetic succession: Find the two following terms in the 2, 4, 6, 8, … succession | For each question, a dichotomous variable is built: 1 for the correct answer, 0 otherwise, like in Stewart et al. (2007), Bajo et al. (2019) and SEP (2015). |
Geometric succession: Find the two following terms in the: 7, 7/2, 7/4, 7/8, 7/16, … succession | ||
General expression of an arithmetic succession: Express the following succession according to its general term: 2, 8, 14, 20 | ||
General expression of a geometric succession: Express the following succession according to its general term: 1, 1/2, 1/3, 1/4, 1/5 | ||
Geometric series: Depict the following problem with a succession and get the general term: a person decides to save for a year (365 days). For this, he intends to save an additional peso every day. Find the amassed amount. | ||
Simple and compound interest | Simple interest (zero interest): If you lend $25 to a friend and the following week he gives you back the $25, how much interest did he pay you? | Dichotomous variable: 1 for the correct answer, 0 otherwise. Question number 13.1 INEGI (2022). |
Simple interest: You make a $100 deposit to a savings account, which gives you a 2% profit a year. If you do not make further deposits or withdrawals, including interests, at the end of the year you will have… | Dichotomous variable: 1 for the correct answer, 0 otherwise. Question number 13.2 INEGI (2022). | |
Compound interest: You make a $100 deposit to a savings account, which gives you a 2% profit a year. If you do not make further deposits or withdrawals, including interests, at the end of 5 years you will have… | Dichotomous variable: 1 for the correct answer, 0 otherwise. Question number 13.3 INEGI (2022). |
Sample n = 142 | Population Proportion Test | ||
---|---|---|---|
Variable | Sample Proportion | Contrast Statistics: Z | p-Value (Right Tail) |
Succession with whole numbers | 0.964 | Z = 11.058 | 0.000 |
Succession with fractional numbers | 0.978 | Z = 11.392 | 0.000 |
General term with whole numbers | 0.598 | Z = 2.33 | 0.009 |
General term with fractional numbers | 0.309 | Z = −4.552 | 0.997 |
Application of succession | 0.753 | Z = 6.029 | 0.000 |
Calculation of simple interest (i = 0) | 0.964 | Z = 11.058 | 0.000 |
Calculation of simple interest | 0.767 | Z = 6.363 | 0.000 |
Calculation of compound interest | 0.457 | Z = −1.024 | 0.152 |
Men n = 52 | Women n = 90 | Population Proportion Test | |||
---|---|---|---|---|---|
Variable | Sample Proportion | Sample Proportion | Difference in Proportions | Contrast Statistics: Z | p-Value: Two-Tailed Test |
Succession with whole numbers | 0.980 | 0.955 | 0.025 | Z = 0.889 | 0.373 |
Succession with fractional numbers | 0.961 | 0.988 | −0.027 | Z = −0.704 | 0.481 |
General term with whole numbers | 0.557 | 0.622 | −0.065 | Z = −0.818 | 0.413 |
General term with fractional numbers | 0.346 | 0.288 | 0.058 | Z = 0.750 | 0.453 |
Application of succession | 0.769 | 0.744 | 0.025 | Z = 0.264 | 0.791 |
Calculation of simple interest (i = 0) | 0.980 | 0.955 | 0.025 | Z = 0.889 | 0.373 |
Calculation of simple interest | 0.769 | 0.766 | 0.003 | Z = 0.035 | 0.971 |
Calculation of compound interest | 0.519 | 0.422 | 0.097 | Z = 1.037 | 0.299 |
Model 1 Men | Model 2 Men | Marginal Effect Model 2 | Model 3 Women | Model 4 Women | |
---|---|---|---|---|---|
Constant | −0.2977 | −0.2230 | −0.1894 | −0.1177 | |
(0.2734) | (0.2168) | (0.2203) | (0.1570) | ||
Succession, general term with whole numbers | 0.1689 (0.3746) | 0.1348 (0.2902) | |||
Succession, general term with fractional numbers | 0.7600 * (0.4001) | 0.8124 ** (0.3823) | 0.3104 | −0.3229 (0.3138) | −0.2779 (0.2977) |
Observations number | 52 | 52 | 90 | 90 | |
Dependent variable mean | 0.519 | 0.519 | 0.422 | 0.422 | |
McFadden R-squared | 0.067 | 0.064 | 0.008 | 0.007 | |
Number of cases ‘correctly predicted’ | 33 (63.5%) | 33 (63.5%) | 52 (57.8%) | 52 (57.8%) | |
f(beta’x) | 0.398 | 0.398 | 0.391 | 0.391 | |
Likelihood ratio test | 4.873 [0.0874] | 4.670 [0.0307] | =1.095 [0.5784] | =0.878 [0.3486] |
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Moreno-García, E. Math Calculation and Financial Literacy: The Incidence of Geometric Progressions in the Calculation of Financial Interest. J. Risk Financial Manag. 2024, 17, 330. https://doi.org/10.3390/jrfm17080330
Moreno-García E. Math Calculation and Financial Literacy: The Incidence of Geometric Progressions in the Calculation of Financial Interest. Journal of Risk and Financial Management. 2024; 17(8):330. https://doi.org/10.3390/jrfm17080330
Chicago/Turabian StyleMoreno-García, Elena. 2024. "Math Calculation and Financial Literacy: The Incidence of Geometric Progressions in the Calculation of Financial Interest" Journal of Risk and Financial Management 17, no. 8: 330. https://doi.org/10.3390/jrfm17080330
APA StyleMoreno-García, E. (2024). Math Calculation and Financial Literacy: The Incidence of Geometric Progressions in the Calculation of Financial Interest. Journal of Risk and Financial Management, 17(8), 330. https://doi.org/10.3390/jrfm17080330