Educational calculator

How compound interest works

Interest is also calculated on previously added interest. So money doesn't grow in a straight line — it accelerates, like a snowball. Play with the numbers and see what matters.

“Simple interest is when you get the same payout every year. Compound interest is when your payouts start earning too.”

Your numbers

Quick scenarios (annual return)
6 %
30 years
2.5 %
In 30 years you'll have
Kč 3,587,894
You deposited
Kč 1,180,000
Interest earned
Kč 2,407,894
Deposits 33 % Interest 67 %
Compare with real data
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Growth over time

How deposits and interest compound year by year

Deposits Interest Real value
01 M2 M3 M4 M08152330years3.6 M Kč+204 %1.7 M Kč+45 %

Year by year

YearTotal depositedInvestment valueTotal gain
0Kč 100,000Kč 100,000Kč 0
1Kč 136,000Kč 143,007Kč 7,007
2Kč 172,000Kč 188,656Kč 16,656
3Kč 208,000Kč 237,110Kč 29,110
4Kč 244,000Kč 288,541Kč 44,541
28Kč 1,108,000Kč 3,117,054Kč 2,009,054
29Kč 1,144,000Kč 3,345,456Kč 2,201,456
30Kč 1,180,000Kč 3,587,894Kč 2,407,894
Real value (after inflation)
Kč 1,710,502
purchasing power in today's money — just 48 % of the nominal value
Doubling (rule of 72)
~12 years
at 6 % return
What's really happening

Four things that decide the outcome

The snowball

Your initial deposit Kč 100,000 after 30 years at 6 %. The difference between simple and compound interest:

Simple interest (linear) Kč 280,000
Compound interest (accelerates) Kč 574,349

Compounding added an extra Kč 294,349 — just because the interest kept earning.

The power of time

Two people save Kč 3,000 a month at 6 % until age 65. One starts at 25, the other at 35.

Starts at 25
Kč 5,974,472
deposited Kč 1,440,000
Starts at 35
Kč 3,013,545
deposited Kč 1,080,000

A ten-year head start means an extra Kč 2,960,927. Delaying has its price.

The rule of 72

A quick estimate of how many years it takes money to double: divide 72 by the interest rate in percent.

Return Estimate Exact
2 % 36 years 35 years
4 % 18 years 17.7 years
6 % 12 years 11.9 years
8 % 9 years 9 years
10 % 7.2 years 7.3 years

72 is popular because it's divisible by many numbers. For low rates 70 is more accurate (mathematically 69.3).

Inflation deceives

Three views of the same money after 30 years at 2.5 % inflation — from what you really put in, to what the result actually buys:

You deposited
your deposits combined, without interest
Kč 1,180,000
Nominal
deposits + interest — the number you'll see in the account
Kč 3,587,894
Real
purchasing power at today's prices — just 48 % of the nominal
Kč 1,710,502
And what if you only saved?
Money under the mattress, 0 % return. Then it's simply your deposit minus inflation:
deposit
Kč 1,180,000
inflation eats
Kč 617,444
=
purchasing power
Kč 562,556

Doing nothing also costs something — money that just sits loses value on its own.

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This calculator is for educational purposes only and simplifies reality — it ignores taxes, fees and return volatility. The numbers are illustrative; past returns don't guarantee future ones. This is not investment advice.

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