WalletPrep worksheet · Investing
How does compound interest work?
Name ____________________ Date __________
Key ideas
- Growth gets added to the balance. At 7% compounded monthly, $1,000 becomes about $2,010 in 10 years. Simple interest at 7% gives $1,700.
- Starting early beats saving more later. At an assumed 7%, $200 a month from age 25 reaches about $524,963 at 65. Starting at 35 reaches $243,994.
- The rule of 72 estimates doubling time. Divide 72 by the yearly rate. At an assumed 6% a year, that is 72 ÷ 6 = 12 years to double.
Vocabulary
- Compound interest
- Interest earned on both your original money and the interest it already earned, so growth speeds up over time.
- Stock
- A small piece of ownership in a company. Its price rises and falls with how investors value the business.
- Index fund
- A mutual fund or ETF that tries to match a market index by holding the investments in it, rather than picking winners.
- Rule of 72
- A shortcut to estimate how long money takes to double: divide 72 by the yearly growth rate.
- Certificate of deposit
- A bank deposit that pays a fixed rate for a set term, like 6 months or 5 years, with a penalty if you take the money out early.
- Inflation
- The rise in prices over time, which means each dollar buys a little less each year.
Work it out
Sam is 25 and can invest $200 a month. Sam wants to know what waiting until 35 would cost. Both cases assume 7% a year, compounded monthly. Real returns vary and can be negative.
- Assumed yearly return
- Start at 25: 480 × $200
- Growth to age 65
- Balance at 65, starting at 25
- Start at 35: 360 × $200
- Growth to age 65
- Balance at 65, starting at 35
- Balance starting at 25
- Balance starting at 35
- Cost of waiting 10 years
Check yourself
Using the rule of 72, about how long does money take to double at an assumed 9% a year?
- A. 6 years
- B. 8 years
- C. 12 years
- D. 18 years
What makes compound interest different from simple interest?
- A. You earn interest on past interest as well as on your deposits
- B. The rate is always higher
- C. It only applies to stocks
Which statement about investment returns is true?
- A. Index funds pay a fixed 7% a year
- B. Returns can never be negative
- C. Returns vary and some years can be losses
- D. Inflation makes returns bigger
Your turn
Open the compound growth calculator on this page and enter what you could invest each month and your years until 65. Try 4% and 7% to see the range, then set up one automatic contribution, even $25, to a retirement account.
Answer key
How does compound interest work?
Work it out
- Assumed yearly return7%
- Start at 25: 480 × $200$96,000
- Growth to age 65$428,963
- Balance at 65, starting at 25= $524,963
- Start at 35: 360 × $200$72,000
- Growth to age 65$171,994
- Balance at 65, starting at 35= $243,994
- Balance starting at 25$524,963
- Balance starting at 35− $243,994
- Cost of waiting 10 years= $280,969
- From 25, Sam makes 480 deposits of $200, or $96,000. At 7% that grows to about $524,963 by 65.
- From 35, Sam makes 360 deposits, or $72,000, and reaches about $243,994.
- Waiting costs $524,963 − $243,994 = $280,969, though Sam put in only $24,000 less.
Check yourself
- B. 8 years 72 ÷ 9 = 8 years. It is an estimate, but it is close for rates between about 4% and 10%.
- A. You earn interest on past interest as well as on your deposits Compounding adds each period's interest to the balance, so future interest is figured on a bigger amount.
- C. Returns vary and some years can be losses Stock investments have no set rate. Long-term examples use an assumed average, but any year can be a loss, and inflation reduces what the money buys.