Compound interest calculator

Enter your capital, what you contribute each month and the interest you estimate, and we'll give you the result with the year-by-year breakdown: how much you've put in and how hard the interest has worked. Free, no sign-up and no brokers in the middle.

Saving and investing

Project how your money grows

We work out compound interest with monthly compounding on your initial capital and your regular contributions.

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€
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years

The projection is the easy part; contributing every month is the hard one

Compound interest only works if the contributions actually arrive, and doing that by hand gets abandoned in two months. In mPF you see whether you're keeping to your monthly contribution and how much you've built up, with your real accounts. No commissions and no products to push on you.

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01

What compound interest is and why it takes time to show

Compound interest is the interest you earn on your capital and also on the interest you've already built up. The practical consequence is that the effect isn't constant: it starts off almost irrelevant and ends up being most of the result. With this calculator's default values — €1,000 to start, €100 a month and 5% a year — after 10 years you'd have about €17,175, of which only €4,175 is interest: less than a quarter. After 20 years it's €43,816, with €18,816 of interest: already 43%. After 30, €87,694 with €50,694 of interest: 58%, more than everything you put in yourself. The money doesn't grow faster at the end because anything special happens; it grows faster because there's more money working.

  • At 10 years the interest is 24% of the total
  • At 20 years, 43%
  • At 30 years, 58%: more than you put in yourself
02

The cost of starting ten years late

It's the sum that hurts most and the one that best explains why time matters more than the amount. Ana starts at 25 and contributes €200 a month until 65: she puts in €96,000 of her own money and ends with around €305,200. Luis does exactly the same but starts at 35: he puts in €72,000 and ends with around €166,500. Luis contributed €24,000 less and ends up with €138,700 less. Those first ten years of Ana's are exactly the ones that looked like they were doing nothing — at the start almost all the balance is her own contribution — and they're the ones that end up worth a fortune, because they're the ones that spend longest working. That's why so many people give up after three or four years thinking this doesn't grow: it does grow, but the good part of the curve is at the end and only reaches those who are still there.

  • Ana starts at 25: puts in €96,000 and ends with €305,200
  • Luis starts at 35: puts in €72,000 and ends with €166,500
  • €24,000 less contributed, €138,700 less at the end
03

The formula, without the maths

The compound interest formula on a capital is C × (1 + i)ⁿ, where C is the capital, i the interest per period and n the number of periods. If you also contribute monthly, you add the formula for a regular annuity: A × ((1 + i)ⁿ − 1) / i. This calculator does both at once, with monthly compounding: it takes the annual interest you give it, divides it by twelve and applies it month by month, which is how most saving and regular investment products work in practice. You don't need to understand the formula to use it, but it's worth knowing the result depends on that decision: with annual rather than monthly compounding, the same 5% gives a slightly lower figure.

  • Capital: C × (1 + i)ⁿ
  • Contributions: A × ((1 + i)ⁿ − 1) / i
  • Here i = annual interest ÷ 12, applied every month
04

The four questions you can answer here

The obvious one goes forwards: I have this, I contribute this and I want to know what I'll have. But the three interesting ones go backwards. How much would I have to contribute each month to reach a specific figure, how many years would it take contributing what I can, and what interest would I need to get there in time. All three are answered with this same calculator by moving one field and watching the result, because with the year-by-year breakdown in front of you, you see the moment you cross your target without having to guess. If what you want is the monthly amount for a goal directly, the savings goal calculator gives it to you without any trial and error.

  • What I'll have: fill in the four fields and you're done
  • How much I need to contribute: move the monthly contribution
  • How long it'll take: look at which row of the table you cross your figure
  • What interest I need: move the interest and watch the jump
05

Simple interest against compound interest, with the same example

With simple interest the interest is taken out and never goes back in: only the money you contribute yourself earns anything. With compound interest, every bit of interest earned stays inside and starts earning in turn. With the default scenario — €1,000 initial, €100 a month, 5% and 20 years — you've contributed €25,000 in both cases. With simple interest you'd end up around €38,050. With compound interest, €43,816. Almost €5,800 of difference that doesn't come from contributing more, but from not taking the interest out. It's the reason reinvesting dividends or coupons changes the result so much over twenty years.

  • Same money contributed: €25,000
  • Simple interest: around €38,050
  • Compound interest: €43,816
06

What this calculator doesn't subtract

It's worth saying plainly, because almost no calculator does. The result is in today's euros without discounting inflation: if you expect average inflation of 2%, a nominal 5% comes down to around 3% real, and to see it in today's purchasing power you'd have to enter that 3%. It doesn't subtract fees either — a 1% annual fee eats a notable part of compound interest precisely because it's also charged on what's built up — nor taxes: in Spain savings income is taxed on withdrawal, at rates that depend on the amount and on the rules in force. And the interest you enter is an assumption of yours, not a promise: no future return is guaranteed, except in products that guarantee it by contract.

  • No inflation: to see it in today's euros, subtract inflation from the interest
  • No fees: they're charged on what's built up too
  • No taxes: you're taxed on withdrawal, under the rules in force
  • You choose the interest and it isn't guaranteed
07

From the sum to the habit

A twenty-year projection is only worth something if the contributions actually arrive, and that's where almost everyone falls down: not through picking the wrong product, but through stopping contributing for three months without noticing. In mPF you see whether you're keeping to your monthly contribution and how much you've really built up, with your real accounts and without noting anything down by hand. We don't sell you the product to put it in; that's your decision.

  • Set your goal and your monthly contribution
  • Check that the contribution arrives every month
  • Adjust the plan when your situation changes

Frequently asked questions

What's the compound interest formula?

For a capital with no contributions, C × (1 + i)ⁿ: capital times one plus the interest per period, raised to the number of periods. If you also contribute monthly, you add A × ((1 + i)ⁿ − 1) / i, the formula for a regular annuity. This calculator applies both at once with monthly compounding, so i is the annual interest divided by twelve and n the number of months.

How often is the interest compounded here?

Every month. We take the annual interest you enter, divide it by twelve and apply it month by month on the accumulated balance. It's the most common scenario in saving and regular investing. If your product compounds once a year, the real result will be slightly lower than what you see here.

What annual interest should I enter?

The one you estimate, and there's no correct figure we can give you: it depends on where the money is and the risk you take, and no future return is guaranteed. What's useful is running two or three scenarios — a cautious one, a middling one and an optimistic one — and seeing how much the result changes. If the decision only works in the optimistic scenario, it isn't a good decision.

How long does it take my money to double?

The rule of 72 gives a quick approximation: divide 72 by the annual interest and you have the years. At 5%, about 14.4 years; the exact calculation with monthly compounding gives 13.9. The rule falls short with high rates, but for a mental estimate without a calculator it works well.

Do I start with a little or wait until I can contribute more?

Start, but not for the reason usually given. The line that '€50 a month today is worth more than €200 when you earn more' doesn't add up: €50 a month for 40 years gives around €76,300, and €200 a month for 30 gives €166,500. The amount weighs more than ten years of head start. What is true is the other thing: with the same amount, every year of getting ahead is worth a great deal. So start with what you can sustain and raise it when you can — the two add up, and neither replaces the other.

What weighs more: the interest I get or the years I contribute?

The years, by a distance. Of the three ingredients — time, consistency and return — the return is the only one you don't control, and chasing an extra point while taking on risk you don't understand usually ends up worse than starting earlier and not stopping. Try it yourself in the calculator: raise the interest by a point and then, instead, add five years. The years almost always win.

Does the result account for inflation?

No. The figure you see is in nominal euros, without discounting the loss of purchasing power. If you want to see it in today's euros, subtract the inflation you expect from the interest you enter: with a nominal 5% and 2% inflation, enter 3% and the result will be roughly what that money will buy in the future.

And the fees?

They aren't subtracted either, and it's worth bearing in mind because fees do exactly what compound interest does but against you: they're charged every year on the total built up, not on what you contributed. A simple way to approximate it is to subtract the annual fee from the interest you enter.

And taxes?

They aren't included. In Spain savings income is taxed in the personal income tax when you realise it, at banded rates that depend on the amount and that have been changed in the past. Since the treatment varies a lot by product and by moment, it's better to check it with the tax authority or with a tax adviser than to trust a figure read on a website, including this one.

How is it different from simple interest?

With simple interest the interest isn't reinvested: only the money you contribute yourself earns. With compound interest it stays inside and earns in turn. With €1,000 initial, €100 a month, 5% and 20 years, simple interest would give around €38,050 and compound €43,816: almost €5,800 of difference without contributing a euro more.

Is the calculator free? Do I have to sign up?

It's free and there's no need to sign up or leave your email. We're not going to send you to any broker or any product either: we don't take a commission from anyone. If it's useful and you want to actually track your contributions, mPF is free too.

Would you rather start gently?

We'll send you the Financial Order Kit as a PDF: the templates and the checklist to get your accounts in order at your own pace. Free, and without signing up for anything.

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