5.4: Banking and Emergency Funds
- Page ID
- 188094
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)Discussion:
Emergency Funds
What Is an Emergency Fund?
Why Do I Need an Emergency Fund?
How Much Money Should I Keep in My Emergency Fund?
How Do I Create an Emergency Fund?
Discussion:
- How do you feel when you do not have enough money for something?
- Will you stop spending on some wants while you build up your emergency fund?
Safety and Success: Bank on It!
Banks, Credit Unions, and Online Banking
Choosing a Bank or Credit Union
| Comparison Chart for Choosing a Bank/Credit Union | |||
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| Item | Local Bank | Credit Union | Online Only Bank |
| Yes/No/Amount | Yes/No/Amount | Yes/No/Amount | |
| Checking Accounts | |||
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| Loans | |||
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| Nearest Branch Location* | |||
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| Online Banking Services* | |||
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| Additional Services or Fees | |||
| * Branch locations are less important if you use online banking for most banking activity. | |||
Banking Products and Services
Checking
Savings Accounts
Debit Cards
Banking Fees
Online and Mobile Banking
Earning Interest and Compound Interest
An exponential relationship describes a connection between two variables in which a change in one variable results in a constant multiplicative change in the other. When plotted on a graph, this relationship produces a curve that increases or decreases at an accelerating rate. In other words, the dependent variable changes by a constant factor for equal additive changes in the independent variable.
For example, the graph of \(y=5 \times 2^x \) shows that when \(x\) increases by 1, the value of \(y\) is multiplied by 2. Specifically, the \(y\) values follow the pattern: \(5, 10, 20, 40, ...\). This constant multiplicative change is the defining feature of an exponential relationship.

| Year | Starting Deposit or Beginning Amount from End of Last Year | Annual Interest Rate | Total at End of Year / Beginning Amount for Next Year | |
|---|---|---|---|---|
| 1 | $2,000.00 | 6% | $120 | $2,120.00 |
| 2 | $2,120.00 | 6% | $127.20 | $2,247.20 |
| 3 | $2,247.20 | 6% | $134.83 | $2,382.03 |
| 4 | $2,382.03 | 6% | $142.92 | $2,524.95 |
Discussion:
- Why is this an exponential relationship? Expand the table to represent years \(5, 6, 7, 8, 9, 10\).
- Write an equation to represent, \(y\), the total amount at the end of each year \(x\).
- Graph the relationship.
- What happens to the amount of compound interest when you save for a longer time? When should you start saving?
You should always compare interest rates across multiple banks and understand how each one calculates interest. While some banks provide online calculators, it is good practice to verify the results using mathematical formulas and ask the bank for clarification when needed.


