Compound Interest Calculator

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3 days ago

The amount you invest or deposit today.

Use the gross annual rate. Conservative savings ~3%, global index ETF ~7% historical average.

How many years the money stays invested.

How often interest is added to the principal.

Amount you add every month. Leave 0 if you make no regular contributions.

After 10 years your investment grows to 20,096.61. Interest earned: 10,096.61. Total contributed: 10,000.00.

20,096.61

Formula: A = P(1 + r/n)^(nt) + PMT × ((1 + r/n)^(nt) − 1) / (r/n)

Year Balance Interest (yr) Total contributed
1 10,722.90 +722.90 10,000.00
2 11,498.06 +775.16 10,000.00
3 12,329.26 +831.20 10,000.00
4 13,220.54 +891.28 10,000.00
5 14,176.25 +955.71 10,000.00
6 15,201.06 +1,024.80 10,000.00
7 16,299.94 +1,098.89 10,000.00
8 17,478.26 +1,178.32 10,000.00
9 18,741.77 +1,263.51 10,000.00
10 20,096.61 +1,354.84 10,000.00

Quick presets

Enter your initial principal, annual interest rate, how many years you plan to invest, the compounding frequency, and an optional monthly contribution. The calculator instantly shows your final balance and a year-by-year breakdown.

The compounding frequency matters: money compounded monthly grows faster than money compounded annually at the same rate, because interest starts earning interest sooner.

Formula: A = P(1 + r/n)^(nt) + PMT × ((1 + r/n)^(nt) − 1) / (r/n)

Where P = principal, r = annual rate (decimal), n = compounding periods per year, t = years, PMT = contribution per compounding period.

Example: €10,000 at 7% for 20 years

Scenario Monthly contrib Final balance Total interest
Lump sum only €0 ~€38,700 ~€28,700
+ €200/month €200 ~€104,000 ~€56,000
+ €500/month €500 ~€216,000 ~€96,000

Adding regular contributions makes a dramatic difference over long periods.

Compounding frequency: does it matter?

Yes, but less than most people think. The difference between monthly and daily compounding at 7% over 20 years on €10,000 is roughly €150. The rate and the time horizon matter far more.

Rule of 72

A quick mental shortcut: divide 72 by the annual rate to estimate how many years it takes to double your money. At 7%, your money doubles roughly every 72 ÷ 7 ≈ 10 years.

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