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Financial Literacy and Quantitative Reasoning in the High School and College Classroom

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Abstract

This overview frames the eight articles devoted to financial literacy in this issue of Numeracy. The survey questions used to assess financial literacy in the United States, Romania, France, Switzerland, Australia, and elsewhere include mathematics that is routinely covered in mathematics and quantitative reasoning courses. Financial literacy, wherever it is received, appears to benefit people throughout their lives. The close tie between quantitative and financial literacy may be exploited to introduce more of both into the high school and undergraduate curriculum.
Numeracy
Advancing Education in Quantitative Literacy
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Financial Literacy and Quantitative Reasoning in
the High School and College Classroom
Annamaria Lusardi
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Dorothy Wallace
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Financial Literacy and Quantitative Reasoning in the High School and
College Classroom
Abstract
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Introduction
Suppose you have $100 in a savings account and the interest rate is 2% per year. After
five years, would you have $102 in the account? More? Less?
Is this a quantitative reasoning question? Yes. Is it being used to measure
quantitative literacy in colleges? Not exactly. This question is one of those being used by
the Financial Industry Regulatory Authority (FINRA) National Financial Capability
Study (NFCS) to assess the financial literacy of Americans. In a sample of over 28,000
respondents age 18 and up, over 20% answered this question incorrectly (Lusardi and
Mitchell 2011a).
This question is the simplest of three benchmark financial literacy assessment
questions designed by Lusardi and Mitchell (2011b) and now used worldwide. This issue
of Numeracy features a theme collection of papers discussing findings resulting from the
use of these questions to measure the financial literacy of the Swiss (Brown and Graf
2013), the French (Arrondel et al. 2013), the Romanians (Beckmann 2013), and the
Australians (Agnew et al. 2013). In these papers you will find comparable research
results spanning populations worldwide and telling the same story over and over again.
Furthermore, you will read about financial literacy in the United States (Bumcrot et al.
2013; Allgood and Walstad 2013; Mottola 2013; de Bassa Scheresberg 2013): about
which states’ populations know the most and which know the least, which population
subgroups display the lowest financial literacy, and how financial literacy is linked to
financial behaviorfrom planning for retirement to holding precautionary savings to
borrowing using credit cards and other methods. Taken together, the research presented
in this theme collection provides solid evidence of the need for quantitative reasoning
skills for all people, the importance of emphasizing practical quantitative reasoning in the
curriculum, and the economic and personal consequences for failing to do so.
Financial Literacy Depends on Quantitative Literacy
Survey questions such as the financial literacy questions examined in the research
documented in the theme collection are overtly mathematical tests of the understanding
of interest rates and interest compounding. These are routine subjects of mathematics and
quantitative reasoning courses. To students without an understanding of the role that
interest compounding plays in building wealth, it is impossible to explain why making a
high-return investment is better than using a low-interest savings account. To students
without an understanding of the actual mathematics underlying interest compounding, it
is very difficult to explain the importance of starting to save early or how quickly debt
grows when borrowing at the interest rates charged by credit card companies or by
payday lenders or other purveyors of high-cost methods of borrowing, topics covered in
three of the papers discussing the NFCS data in the theme collection.
Is it better to use your money to buy a single stock or to invest in a fund containing
many different stocks? The second strategy is designed to reduce the risk of having that
one stock suddenly plunge in value. Despite the age-old adage recommending not putting
all of one’s eggs in a single basket, most survey respondents do not, in fact, grasp the
concept of risk diversification. It is, however, possible to use quantitative reasoning to
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Lusardi and Wallace: Financial Literacy and Quantitative Reasoning in the Classroom
Published by Scholar Commons, 2013
arrive at a good answer to the question of choosing a single stock versus a stock mutual
fund. A good answer could be based on the analysis of publicly available growth records
of stocks versus funds, generally expressed graphically. The ability to read and interpret
graphs is fundamental to quantitative literacy. A more complex approach could involve
spreadsheets simulating multiple stocks and a Monte Carlo algorithm of some sort. In
either case, understanding why the “correct” answer is a good one demands quantitative
reasoning on some level.
Financial Literacy Is Correlated with Good Financial
Practices
It is astoundingly hard to demonstrate that any particular educational intervention will
have consequences for the well-being of learners throughout their entire lives. The theme
collection provides multiple studies demonstrating that an understanding of these few
mathematical and financial principles is significantly correlated with good financial
behaviors. In short, financial literacy is a case in which education (wherever it was
received) is likely to bring benefits in the short, medium, and long run to those who have
it. People are more likely to plan for retirement, to avoid longstanding credit card bills,
late payments, payday loans, and other risky financial behaviors if they understand some
basic mathematical principles underlying financial literacy. The NFCS data, as discussed
in four of the eight papers, provides an opportunity to do an unprecedented analysis of
both financial literacy and its links to financial behavior. As more and more individuals
become responsible for contributing to their retirement funds and then judiciously
managing them after retirement, the need for basic financial understanding among the
entire population is increased dramatically. And as young people take up larger amounts
of debt to finance their education, it seems essential that they understand the basics of
interest compounding. The president of your college or university should care about this
matter, as it affects nearly every student. The most promising career, for which the
college may meticulously have prepared a student, can be ruined by bad financial
decisions, made perhaps not of necessity but of ignorance.
Financial Literacy Is Low among the Young
Not just in the United States but in other countries as well, the young display low levels
of financial literacy and are often the subgroup with the lowest level of financial literacy.
These are people who will be paying off student loans, who will be buying their first car
to get to work, who will be buying their first home. More and more, young people’s
earliest financial decisions are related to debt, and it is worrisome to see that in the
United States, 35% of young adults (age 2534) have used high-cost methods of
borrowing such as payday loans, pawn shops, tax refunds loans, auto title loans, and rent
to own shops (de Bassa Scheresberg 2013). When looking at both financial literacy and
financial behavior, the young emerge as one of the most vulnerable groups in the
population. Many of these young adults are the people we have taught in our two- and
four-year institutions of higher education. Taken collectively, the papers in this theme
collection may lead you to the conclusion that it is irresponsible not to require financial
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DOI: http://dx.doi.org/10.5038/1936-4660.6.2.1
literacy of students and that, furthermore, such a requirement must have an explicit,
heavily emphasized, practical quantitative component.
Financial Literacy Is Low among Women
The financial literacy papers discuss data that indicate a large gender gap in financial
literacy. Women are not only less likely to answer financial literacy questions correctly;
they are also more likely to state they “do not know” the answer to the questions. The
pattern is remarkably similar in countries as different as the United States, Australia,
France, and Romania. As the findings from the paper discussing financial literacy in
Switzerland (Brown and Graf 2013) show, this disparity in literacy level does not seem to
be driven by lack of interest in financial matters. Gender differences exist not only in
financial literacy but also in financial behavior, and they are the particular focus of one of
the papers (Mottola 2013). As teachers of quantitative and financial literacy, we have to
remember that there are differences in our student population and that women and men
are very different when dealing with the concepts underlying financial knowledge. These
findings also call for programs targeted specifically to women.
Money Is Power; Money Is Number
We live in a capitalist democracy. Functionally, this means that citizens have two sources
of power: their vote and their dollar. The design team of Mathematics and Democracy
(National Council on Education and the Disciplines 2001) framed quantitative literacy as
a skill required for full participation in citizenship, and this participation requires more
decisions about money now than ever before. A citizen who cannot manage his or her
finances, who lives from hand to mouth, and who arrives destitute at retirement age
expecting a long, comfortable, and healthy old age on Social Security payments has
surrendered most of his or her power over life in the short, medium, and long run. Put
enough such citizens together and you have a national crisis. It is notable that the
Organisation for Economic Co-operation and Development’s (OECD) Programme for
International Student Assessment (PISA) has added financial literacy to the topics it
evaluates every three years among 15-year-old students. PISA explains what it measures
as follows:
Are students well prepared for future challenges? Can they analyze, reason, and communicate
effectively? Do they have the capacity to continue learning throughout life? The OECD Program
for International Student Assessment (PISA) answers these questions and more through its surveys
of 15-year-olds in the principal industrialized countries. Every three years, it assesses how far
students near the end of compulsory education have progressed in acquiring some of the
knowledge and skills essential for full participation in society.
1
Thus, financial literacy has been recognized as a necessary skill to successfully navigate
today’s society. It is time to add it not only to high school curricula but also to colleges
both across the nation and around the world.
1
See http://www.oecd.org/pisa/.
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Lusardi and Wallace: Financial Literacy and Quantitative Reasoning in the Classroom
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What Colleges and Universities Can Do
Colleges and universities are beginning to recognize the need for both financial and
quantitative skills. In a preliminary study of a random sample of four-year undergraduate
institutions, we find that 65% offer either a quantitative reasoning or personal finance
course. These provide some leverage for the kind of education that leads to financial
literacy. Many quantitative reasoning courses may not have sufficient emphasis on
financial topics in a practical context. Many personal finance courses may not have
sufficient emphasis on the quantitative aspects of financial decisions that lead to real,
actionable understanding. Many of the courses we found are not actually required. But
their presence in the curriculum reflects an understanding of the need they fill for
students and provides a basis for further growth.
2
Textbooks designed for personal finance courses often do not emphasize the
mathematical understanding needed to make thoughtful financial decisions and plans.
Texts meant for quantitative reasoning courses may give only modest attention to
financial decisions. Such texts may be supplemented by more in-depth modules such as
those created by the Dartmouth College Financial Literacy Initiative, available on the
Internet.
3
In short, the resources are available to promote financial literacy through the
education we provide to our college-level students. Those who teach quantitative
reasoning would do well to remember that, as Lynn Steen once wrote, numeracy is about
“applying elementary tools in sophisticated settings” (Steen 2001, p. 108). Financial
literacy presents a spectacular collection of sophisticated settings useful for improving
both financial and quantitative reasoning.
References
Agnew, J. R., H. Bateman, and S. Tharp. 2013. Financial literacy and retirement
planning in Australia. Numeracy 6(2). http://dx.doi.org/10.5038/1936-4660.6.2.7
Allgood, S. and W. Walstad. 2013. Financial literacy and credit card behaviors: A cross-
sectional analysis by age. Numeracy 6(2). http://dx.doi.org/10.5038/1936-4660.6.2.3
Arrondel, L., M. Debbich, and F. Savignac. 2013. Financial literacy and financial
planning in France. Numeracy 6(2). http://dx.doi.org/10.5038/1936-4660.6.2.8
Beckmann, E. 2013. Financial literacy and household savings in Romania. Numeracy
6(2). http://dx.doi.org/10.5038/1936-4660.6.2.9
Brown. M. and R. Graf. 2013. Financial literacy and retirement planning in Switzerland.
Numeracy 6(2). http://dx.doi.org/10.5038/1936-4660.6.2.6
Bumcrot, C, J. Lin, and A. Lusardi. 2013. The geography of financial literacy.
Numeracy 6(2). http://dx.doi.org/10.5038/1936-4660.6.2.2
de Bassa Scheresberg, C. 2013. Financial literacy and financial behavior among young
adults: Evidence and implications. Numeracy 6(2). http://dx.doi.org/10.5038/1936-
4660.6.2.5
2
Lusardi taught a graduate course on this topic at the George Washington School of Business. A syllabus is
available upon request.
3
Dartmouth College Financial Literacy Initiative curriculum materials at
http://www.math.dartmouth.edu/~mqed/FinancialLiteracyProject/
4
Numeracy, Vol. 6 [2013], Iss. 2, Art. 1
http://scholarcommons.usf.edu/numeracy/vol6/iss2/art1
DOI: http://dx.doi.org/10.5038/1936-4660.6.2.1
National Council on Education and the Disciplines. 2001. Mathematics and democracy:
The case for quantitative literacy, ed. L. A. Steen. Princeton, NJ: Woodrow Wilson
National Fellowship Foundation.
Lusardi, A., and O. S. Mitchell. 2011a. Financial literacy and retirement planning in the
United States. Journal of Pension Economics and Finance 10(4): 509525.
http://dx.doi.org/10.1017/S147474721100045X
Lusardi, A., and O. S. Mitchell. 2011b. Financial literacy and planning: Implications for
retirement wellbeing. In Financial literacy: Implications for retirement security and
the financial marketplace, ed. O. S. Mitchell and A. Lusardi, 1739. Oxford, UK:
Oxford University Press.
http://dx.doi.org/10.1093/acprof:oso/9780199696819.003.0002
Mottola, G. R. 2013. In our best interest: Women, financial literacy, and credit card
behavior. Numeracy 6(2). http://dx.doi.org/10.5038/1936-4660.6.2.4
Steen, L. A. 2001. Embracing numeracy, in Mathematics and democracy: The case for
quantitative literacy, ed. L. A. Steen, 107116. Princeton, NJ: National Council on
Education and the Disciplines.
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... Em relação ao gênero, os homens são detentores de maior educação financeira do que as mulheres, tanto na educação financeira total, quanto na básica e avançada, apresentando médias 2,08; 0,71 e 1,36, respectivamente, enquanto que as mulheres obtiveram médias de 1,79; 0,63 e 1,15. Tal fato também foi verificado por diversos autores ao encontrarem que as mulheres geralmente apresentam menores níveis de educação financeira do que os homens VOLPE, 1998;MITCHELL, 2006;AGARWAL et al., 2009;121 MITCHELL, 2011;ATKINSON;MESSY, 2012;WALLACE, 2013;BROWN;GRAF, 2013;MOTTOLA, 2013). ...
... Em uma pesquisa realizada nos Estados Unidos, Lusardi e Mitchell (2011) constataram que as mulheres são significativamente menos propensas a responder às perguntas corretamente e mais propensas a dizer que não sabem a resposta. Este fato é notavelmente semelhante em países financeiramente diferentes como a Austrália, a França e a Romênia WALLACE, 2013). Por outro lado, as mulheres também avaliam seu próprio nível de educação financeira de forma mais conservadora. ...
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A educação financeira é uma ferramenta que auxilia os indivíduos em tomadas de decisões mais assertivas e eficientes no contexto monetário de suas vidas, diante dessa importância tem-se como objetivo principal deste trabalho investigar o nível de educação financeira dos habitantes do Rio Grande do Sul e identificar se existem diferenças nos níveis de educação segundo as variáveis socioeconômicas e demográficas. Para isso realizou-se uma pesquisa com 1.067 indivíduos e a análise dos dados foi através da estatística descritiva e multivariada. Os principais resultados revelam maiores níveis de educação financeira entre os homens, solteiros, que não possuem dependentes, estudantes e/ou bolsistas, com um maior nível de escolaridade, tanto seu, quanto dos seus pais, com maiores faixas de renda própria e familiar e residentes na região centro ocidental rio-grandense. Todavia, o nível de educação financeira na amostra de rio-grandenses avaliada atingiu patamares preocupantes, ao acertaram 67% das questões de educação básica e 62,34% das questões de educação avançada, revelando um nível médio de educação financeira, porém muito próximo ao nível baixo (abaixo de 60%). Esses resultados geram uma conscientização sobre a necessidade de novos investimentos por parte do governo ou de instituições privadas em programas de educação financeira, voltados principalmente aos grupos que se mostraram com menor conhecimento
... As the world is becoming increasingly complex, young adults have greater financial responsibilities, which means financial literacy (FL) is necessary to successfully navigate their future (Lusardi and Wallace, 2013;OECD, 2017b). Because young adults (15-24 years old) are more malleable than adults, school-based financial education (FE) interventions are cost-efficient and a valuable approach to fostering youth FL (Frisancho, 2020;Kaiser et al., 2021). ...
... However, university FL education has generally been insufficient. For example, Fernandes et al. (2014) found that just-in-time FE was needed to avoid unreasonable financial decisions and ensure better individual choices (Thaler, 2018), the OECD (2017b) claimed that there was "an urgent need" for governments to improve all students' FL, and Lusardi and Wallace (2013) suggested that FE curricula should be part of all college and university education. ...
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As starting university is a critical independence milestone for many young people, it would also be the best time to provide them with some financial education (FE). Although there have been many initiatives aimed at enhancing individual financial literacy (FL) and/or financial decision-making, meta-analyses have shown that the effectiveness of FE has been mixed. This study examined the driving forces behind the decision by college students to enroll in a targeted financial literacy curriculum (FLC) and the impact of this attendance on their FL. An endogenous switching model (ESM) was employed to account for the heterogeneity in the decision to attend or not attend the FLC and to counteract any unobservable characteristics. It was found that students with higher self-perceived FL did not prefer to attend the FLC; however, for others, FLC attendance was found to significantly boost their FL in areas such as financial knowledge (FK), financial attitude (FA), and financial behavior (FB), especially for the non-attendees under the counterfactual framework. These “non-attendees” were observed to have some characteristics (e.g., prior knowledge) that made them more financially literate regardless of attendance; however, if they had attended the FLC, they would have gained a greater FL than the attendees. As the FL of the attendees would have been much lower if they had not attended, the FLC appeared to be particularly important for the attendees, which strengthened the case for making the FLC a compulsory part of a general college education.
... Particularly, one's level of financial literacy has the propensity to greatly influence his/her capacity to critically evaluate investment choices and deploy financial resources wisely. Financial literacy is therefore indispensable for one's business, the economy, and the nation in this era of globalization (Lusardi & Wallace, 2013). Individuals with the ability to appropriately manage a bank account, prepare a financial plan, make investments for the future, and acquire strategies to minimize or evade debt are known to be financially literate. ...
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In this paper, we are motivated by the growing complexity of financial service products amidst an unending wave of Ponzi schemes as well as the low levels of financial literacy reported by prior studies. Particularly, while the extant literature has focused on various determinants of financial literacy, limited insights exist on the implications of financial literacy on financial behaviour. Consequently, we focus our empirical test on identifying the link between financial literacy and financial behaviour. We formulated our hypotheses from the family resource management theory which postulates that individual behaviour is a function of their knowledge. Thus, relative to financial literacy and financial behaviour, we argue that financially literate individuals are more likely to exhibit sound financial behaviour than those who are financially illiterate. We tested our hypothesis by using the logistic regression technique on a cross-sectional sample of 3,932 students pursuing various undergraduate and postgraduate programs in Ghanaian public and private universities. Notably, we selected our respondents from six (6) public and six (6) private universities. Consistent with our theoretical predictions, our results show that financially literate students are more likely to exhibit sound financial behaviour. Specifically, the results demonstrate that financial literacy is a major input for financial behaviour. Additionally, we observe that variables such as family characteristics particularly the father’s educational background, and discussion of financial matters at home are significant predictors of sound financial behaviour. Generally, our results have implications for various stakeholders including governments, academic institutions, and families.
... There is a growing consensus that effective learning and citizenship in the 21st century requires college graduates to be 'quantitatively literate', that is, to be able to think and reason quantitatively when the situation demands it (Shavelson, 2008;Ball, 2003;Madison, 2009;NRC, 2012). Universities are beginning to recognize the need for such quantitative competencies and consider them essential student learning outcomes (SLOs) (Lusardi & Wallace, 2013). For instance, in a study among the member institutions of the American Association of Colleges and Universities (AAC&U), 71% of the colleges and universities identified the acquisition of quantitative reasoning as a central aim of learning in higher education (Hart Research Associates, 2009). ...
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Quantitative reasoning is considered a crucial prerequisite for acquiring domain-specific expertise in higher education. To ascertain whether students are developing quantitative reasoning, validly assessing its development over the course of their studies is required. However, when measuring quantitative reasoning in an academic study program, it is often confounded with other skills. Following a situated approach, we focus on quantitative reasoning in the domain of business and economics and define domain-specific quantitative reasoning primarily as a skill and capacity that allows for reasoned thinking regarding numbers, arithmetic operations, graph analyses, and patterns in real-world business and economics tasks, leading to problem solving. As many studies demonstrate, well-established instruments for assessing business and economics knowledge like the Test of Understanding College Economics (TUCE) and the Examen General para el Egreso de la Licenciatura (EGEL) contain items that require domain-specific quantitative reasoning skills. In this study, we follow a new approach and assume that assessing business and economics knowledge offers the opportunity to extract domain-specific quantitative reasoning as the skill for handling quantitative data in domain-specific tasks. We present an approach where quantitative reasoning – embedded in existing measurements from TUCE and EGEL tasks – will be empirically extracted. Hereby, we reveal that items tapping domain-specific quantitative reasoning constitute an empirically separable factor within a Confirmatory Factor Analysis and that this factor (domain-specific quantitative reasoning) can be validly and reliably measured using existing knowledge assessments. This novel methodological approach, which is based on obtaining information on students’ quantitative reasoning skills using existing domain-specific tests, offers a practical alternative to broad test batteries for assessing students’ learning outcomes in higher education.
... Several studies in the USA and other places of the world show that youth have a low level of financial literacy. Regarding financial literacy and conduct, youth become one of the most minor protected groups in the population (Lusardi and Wallace, 2013;Kozubik, 2019;Zheng et al., 2020, Andriichuk, 2021. The younger generation faces not only the growing complexity of financial products, services, and markets but, in the course of growing up, they need to assume increasing financial risks compared to their parents (OECD, 2013; Kuzma et al., 2022). ...
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Financial literacy, as a totality of knowledge and skills, provides an opportunity for a person to manage finances successfully, and take rational decisions concerning the choice of various financial services, thus facilitating both individual and public welfare and sustainability. The financial markets have changed along with the financial consumers' awareness. Financial services have become a mass and freely accessible product group, whereas financial institutions have become a part of everyday life for all social groups. Over time, the age of the persons involved in financial processes and evolving consumers of financial services becomes younger and younger. Hence, the need for knowledge and awareness of finances, financial product diversity and related risks is growing more acute for improving financial decision-making. For this reason, financial literacy is acknowledged as a vital life skill globally. The research aims to study, assess, and analyse the financial literacy of secondary school leavers in Latgale.
... Several studies give clear evidence that gender significantly affects financial literacy. Results are shown by Atkinson & Messy, (2012) ;Calamato, (2011);Cheronoh, (2019); Hung et al., (2012); Ibrahim et al., (2009) ;Lusardi & Mitchell, (2011);Lusardi & Wallace, (2013);Taylor, (2011) found that male is more financially literate as compared to female. Higher digital financial literacy levels are expected to be found in persons with a higher level of education and, thereby, superior access to financial products and services. ...
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Digital financial literacy has recently piqued the interest of researchers and policymakers worldwide, especially in India. Financial inclusion could be effectively achieved by promoting digital financial literacy. Digitalization and faster internet technologies lead to a greater rural and urban digital divide due to their digital incompetency and illiteracy. Much literature shows that demographic variables namely age, gender, marital status, level of education, social groups, religion, profession, size of the family, APL/BPL, and the size of the landholding has a significant relation with digital financial literacy. Therefore, all these factors should be taken into account when developing financial training programmes to improve digital financial literacy. This paper tries to identify the relationship between digital financial literacy and demographic factors in rural areas of India. A multi-stage sampling technique has been used for choosing the 500 respondents from the rural areas of the Aligarh district of Uttar Pradesh for the study.
... Furthermore, the finding supports the statement by Lusardi and Wallace (2013), who concluded that there was a positive correlation between financial literacy and financial practices among high school and college students. To some extent, financial literacy can also indicate people's awareness of personal financial management. ...
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This research reports on the findings from a study which was conducted to explore the determinants of financial literacy gender gap in Mashonaland Central Province, Bindura. Therefore, the researcher sought to measure the financial literacy levels of women and men in Zimbabwe in a bid to reveal the factors affecting the gender gap. Women play a pivotal role in economic development and constitute the majority (55%) of the population (ZIMSTATS, 2012). A quantitative research method was used where data was collected among a randomly selected sample of 385 adults in Bindura, using a self-administered questionnaire. Data was analysed using Chi-square tests generated from SPSS version 20 and a financial knowledge index constructed using Microsoft Excel. Findings of the research revealed that age, marital status, education, occupation, income and socialisation explained the financial literacy gap. The study recommended instituting financial education programs targeting women especially those who have lower education, lower income levels, old aged, and unemployed, divorced and widowed to reduce the gender gap.
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This paper analyzes the financial literacy of working students in professional technical careers, using a sample from the Los Lagos region. An instrument was designed and applied considering different dimensions of the phenomenon: economic-financial and product knowledge, as well as financial behavior. Using aggregate indexes and Ordinary Least Squares estimations in two stages, we proceeded to explore variables that explain financial literacy. The results indicate low levels of literacy, especially in economic-financial knowledge. In addition, financial literacy is positively associated with older people, men, students in the regional capital, and those trained in the area of administration.
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Both computers and calculators are limited by architecture, operating system, and software, to some predetermined level of precision within decimal number presentation and calculation. Rational fractions produce either terminating or repeating decimal ...