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Numeracy
Advancing Education in Quantitative Literacy
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Financial Literacy and Quantitative Reasoning in
the High School and College Classroom
Annamaria Lusardi
e George Washington University School of Business.9B@.?164DB21B
Dorothy Wallace
Dartmouth College<?<A5F+.99.02.?A:<BA521B
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Financial Literacy and Quantitative Reasoning in the High School and
College Classroom
Abstract
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Keywords
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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 behavior—from 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 25–34) 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): 509–525.
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, 17–39. 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, 107–116. Princeton, NJ: National Council on
Education and the Disciplines.
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Lusardi and Wallace: Financial Literacy and Quantitative Reasoning in the Classroom
Published by Scholar Commons, 2013