THE25Finances · Lesson 04All lessons
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04 / 25 · Interest Rates: The Price of Waiting

The same €20,000. Five years later, the rate makes €5,848 of difference.

Rates are prices over time. When a balance remains unpaid, a higher price compounds against you.

The lesson

The rate is not a detail. It is the price of waiting.

Leave €20,000 unpaid for five years at 4.5% and it becomes €24,924. At 9%, the same balance becomes €30,772.

The difference is €5,848. Nothing else changed: not the balance, not the time, not the currency—only the annual rate.

This is a balance-growth illustration, not an amortizing-loan quote. Real borrowing also depends on repayments, fees and terms. The mechanism remains: a higher rate makes waiting more expensive.

€24,924€20,000 at 4.5% for 5 years
€30,772€20,000 at 9% for 5 years
+€5,848Cost of the 4.5-point gap

Test the price

Change the rate. See what time costs.

No-payment compounding illustration; use actual terms for any real borrowing decision.

See the curve

The difference grows
while the balance waits.

Higher interest keeps being charged on interest already added.

4.5% annual rate9% annual rate
The difference grows while the balance waits.
YEARS4.5% annual rate9% annual rate
02000020000
12090021800
32282325901
52492430772
Projected balance
Interest added
Balance after first year

Continue with any AI assistant

Make the rate visible.

Compare a €20,000 balance accruing at constant annual rates of 4.5% and 9% for 1, 3 and 5 years with no payments. Show the balances, interest added and the difference. Explain why the rate gap compounds over time, distinguish this illustration from an amortizing loan, and give me three practice questions. Keep it educational, not personalized financial advice.

Assumptions

  • Constant annual rates of 4.5% and 9%, compounded annually.
  • No payments, new borrowing, fees or changes in rate.
  • This isolates rate mechanics; it is not an amortizing-loan example.
  • Real credit terms vary.
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