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Compound Interest Calculator

Discover the power of compound interest: calculate how your savings grow exponentially based on initial capital, regular contributions, rate and duration.

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What is compound interest?

Compound interest is the mechanism by which interest generated by an investment is reinvested, itself producing new interest. Albert Einstein reportedly called it the 'eighth wonder of the world': over the long term, its effect is exponential.

Compound interest formula:

Final Capital = Initial Capital × (1 + rate)^years

Example: €10,000 invested at 7% for 30 years → €76,122 (without additional contributions).

The Rule of 72: estimating capital doubling time

The Rule of 72 is a mental shortcut to estimate how many years it takes for your capital to double with compound interest. Simply divide 72 by the annual rate.

4%

annual rate

18 years

to double

Livret A (historical)

7%

annual rate

10 years

to double

World ETF (historical)

10%

annual rate

7.2 years

to double

Growth stocks

The impact of regular contributions (DCA)

Investing regularly, even small amounts, considerably amplifies the compound interest effect. This strategy is called Dollar Cost Averaging (DCA) or scheduled investing. Our simulator lets you include monthly or annual contributions to visualize the impact on your final capital.

Concrete example:

  • Initial capital: €5,000
  • Monthly contribution: €200/month
  • Average annual rate: 7% (World ETF)
  • Duration: 20 years
  • → Final capital: ~€116,000 for €53,000 invested

Frequently asked questions

Which investments benefit from compound interest?
All investments where income is reinvested benefit from compound interest: accumulating ETFs (PEA, securities account), life insurance in unit-linked funds, REITs with dividend reinvestment, and to a lesser extent savings accounts (Livret A, LDDS). Reinvested dividends on individual stocks work the same way.
What is the difference between simple and compound interest?
With simple interest, interest is calculated only on the starting capital. With compound interest, the interest generated each period is added to the capital and itself produces interest in subsequent periods. Over 30 years, the difference can be enormous: €10,000 at 7% gives €21,000 with simple interest but €76,000 with compound interest.
What rate of return should I use in the simulator?
For index ETFs like MSCI World, the historical annualized return over 30 years is 7 to 10% before inflation. After inflation (2-3%), the real return is 5-7%. For a cautious profile (euro funds, savings accounts), use 2-4%. Past returns do not guarantee future performance.

Apply it with Patrimoine360

Track the real performance of your investments and compare it with your simulated projections.

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