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How is Compound Interest Calculated?

Jonathan Lee
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November 15, 2025
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Compound interest might sound like a maths lesson, but it’s actually the secret ingredient behind how your money grows over time. Understanding how it’s calculated helps show just how powerful it can be, especially when it comes to your pension.

The basic idea

At its core, compound interest means earning interest on your interest. Instead of only getting returns on what you originally put in, you also earn returns on the growth that’s already happened. It’s a simple idea that makes a huge difference over time.

The calculation looks like this:

A = P(1 + r/n)^(nt)

Now, before your eyes glaze over, here’s what it means:

  • A = the final amount (after interest)
  • P = the amount you start with (your initial investment)
  • r = the annual interest rate
  • n = how many times interest is added (compounded) each year
  • t = how many years you leave it invested

A quick example

Say you invest £1,000 in something that grows at 5% per year. After one year, you’ve earned £50. But with compound interest, that £50 gets added to your pot, and next year you earn interest on £1,050. Over five years, that turns into roughly £1,276 - an extra £276 just from letting your returns compound.

That might not sound like much at first, but stretch that out over 20 or 30 years, with regular contributions, and the results can be huge.

Why it matters for your pension

When you contribute to your pension, your money is invested in funds that aim to grow over time. Each bit of growth gets reinvested, meaning your pot doesn’t just grow from what you put in, but also from what your money earns along the way. The longer you leave it, the stronger compounding becomes. 

Think of it like baking a cake - you can’t keep opening the oven to check if it’s done. Give it time, let the ingredients do their thing, and the result rises beautifully.

The key takeaway

You don’t need to know the formula to benefit from it. You just need to give your money time. Start early, stay consistent, and let compound interest work in the background. It’s quiet, reliable, and remarkably effective over the long term. It’s key to note that markets don’t just go up, they can go down too. That doesn’t mean you’ve done something wrong, it’s simply how investing works. Markets naturally move in cycles, with periods of growth and periods of decline. The important thing is to stay focused on the long term. By continuing to contribute regularly, you’re buying into the market at a range of prices (including during the dips) which can set you up for stronger growth when things recover.

Your capital is at risk. The value of your investments can go down as well as up, and you may get back less than you invest.
This content is for general information only and is not financial advice.

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