Delta Charter Consumer Math

← Money Basics After High School · about 45 min

Banking and savings

Where to keep your money so it's safe, free, and growing.

Three kinds of accounts

Once you get a paycheck, you need somewhere to put it. Most people use two accounts: a checking account for spending and a savings account for money they don't touch.

AccountWhat it's forInterestWatch out for
CheckingEveryday spending: debit card, direct deposit, paying billsUsually none or almost noneOverdraft fees, monthly fees
SavingsMoney you're keeping, like an emergency fundLow at most big banksMinimum balance fees, very low rates
High-yield savingsThe same job as savings, but it actually growsMuch higher, often at online banksRates can drop at any time; check the APY

Rates change all the time. The FDIC posts national average rates each month (link in Sources).

Words you need

Bank vs. credit union
A bank is a business owned by investors. A credit union is a nonprofit owned by its members, so it often has lower fees and better loan rates. Either is fine if it's insured.
Interest rate
The percent a bank pays you each year for keeping money there, before counting compounding.
APY (annual percentage yield)
What you actually earn in one year, including compounding. Always compare accounts by APY.
Compound interest
Earning interest on your interest. Each month's interest gets added to your balance, so next month you earn on a bigger number.
FDIC / NCUA insurance
If an insured bank (FDIC) or credit union (NCUA) fails, the government covers your deposits up to $250,000 per person, per institution, per ownership category.
Overdraft
Spending more than you have in checking. The bank may pay it anyway and charge you a fee for each overdraft.

Worked example: interest on interest

You put $1,000 in a high-yield savings account that pays 5% APY. You don't add or take out anything. How much will you have in 10 years?

  1. Year 1: earn 5% on $1,000$1,000 × 1.05 = $1,050.00
  2. Year 2: earn 5% on $1,050 (not just $1,000)$1,050 × 1.05 = $1,102.50
  3. Keep going: multiply by 1.05 once per year$1,000 × 1.05¹⁰ = $1,628.89
  4. How much of that is interest?$1,628.89 − $1,000 = $628.89

You'd have $1,628.89. Simple interest (5% of $1,000 every year) would only give you $500. The extra $128.89 is interest on interest.

Try it

Change the numbers. Try the same $100 a month in an account paying 0.01% and one paying 4%. Over 10 years that's about $12,006 versus $14,670: the same deposits, and about $2,664 more just for picking a better account.

Compound interest calculator

The yearly rate with compounding included. Check the bank's website.
Balance at the end—
You put in—
Interest earned—

Assumes the APY stays the same and deposits land at the end of each month. Real rates change.

Fees and traps

Practice

  1. An account pays 5% APY. You deposit $1,000 and leave it alone. How much interest do you earn in the first year?

    Show answer

    $1,000 × 0.05 = $50. APY already includes compounding, so for one year you just multiply.

  2. You deposit $2,000 at 4% APY for 3 years with no more deposits. What's the balance?

    Show answer

    $2,000 × 1.04³ = $2,000 × 1.124864 = $2,249.73.

  3. You have $300,000 in one individual savings account at one FDIC-insured bank. How much is NOT insured?

    Show answer

    $300,000 − $250,000 = $50,000 is over the limit. (Spreading it across banks or ownership categories would fix that.)

  4. Your checking has $40. You buy $55 of groceries with your debit card and the bank charges a $35 overdraft fee. What's your balance now?

    Show answer

    $40 − $55 − $35 = −$50. You owe the bank $50, and $35 of that bought you nothing.

  5. Bank A: 4.10% APY. Bank B: 4.00% interest rate compounded monthly. Which pays more?

    Show answer

    Bank B's APY is (1 + 0.04/12)¹² − 1 ≈ 4.07%. Bank A's 4.10% APY pays slightly more. Always compare APY to APY.

Can you…

Sources and dates

  1. FDIC: Understanding deposit insurance · as of Oct 2026
  2. NCUA: Share insurance coverage · as of Oct 2026
  3. FDIC: National rates and rate caps (monthly average savings rates) · as of updated monthly
  4. CFPB: Data Point, Checking account overdraft (median overdraft fee $34 at banks studied) · as of 2014