Albert Einstein supposedly called compound interest "the eighth wonder of the world." Whether he actually said it is debatable — but the maths behind it is genuinely extraordinary.
Here's the thing that blew my mind when I first properly understood it: if you invest £200 a month starting at age 25, you'll have roughly £400,000 by age 65 (assuming 7% average returns). Wait until 35 to start — just ten years later — and you'll have only about £190,000. Same monthly amount, same rate, but half the money. That missing decade costs you over £200,000.
Our free compound interest calculator lets you see exactly how your money grows over time — with daily, monthly, or yearly compounding. Play with the numbers. I promise it'll change how you think about saving.
What Is Compound Interest?
Compound interest is interest earned on interest. It's the difference between your money growing in a straight line (simple interest) and growing in a curve that gets steeper over time (compound interest).
Simple Interest vs Compound Interest
With simple interest, you earn interest only on your original deposit. With compound interest, you earn interest on your deposit PLUS all the interest you've already earned.
Let's compare £10,000 at 5% over 30 years:
| Year | Simple Interest | Compound Interest | Difference |
|---|---|---|---|
| 0 | £10,000 | £10,000 | £0 |
| 5 | £12,500 | £12,763 | £263 |
| 10 | £15,000 | £16,289 | £1,289 |
| 15 | £17,500 | £20,789 | £3,289 |
| 20 | £20,000 | £26,533 | £6,533 |
| 30 | £25,000 | £43,219 | £18,219 |
After 30 years, compound interest gives you £18,219 more than simple interest — and that's without adding a single penny beyond the initial £10,000.
The Compound Interest Formula
The mathematical formula is:
A = P(1 + r/n)^(nt)
Where:
- A = final amount
- P = principal (starting amount)
- r = annual interest rate (as a decimal)
- n = number of times interest compounds per year
- t = number of years
With regular monthly contributions, the formula gets more complex — which is exactly why our calculator exists.
How Compounding Frequency Matters
Interest can compound daily, monthly, quarterly, or annually. More frequent compounding means slightly more growth:
| Compounding | £10,000 at 5% after 10 years | Difference from Annual |
|---|---|---|
| Annually | £16,288.95 | — |
| Quarterly | £16,386.16 | +£97.21 |
| Monthly | £16,470.09 | +£181.14 |
| Daily | £16,486.65 | +£197.70 |
Most UK savings accounts compound daily or monthly.
The Power of Starting Early
This is the single most important lesson in personal finance, and I wish someone had drilled it into me at 18.
The Tale of Two Savers
Meet Sarah and James. Both invest in a stocks and shares ISA averaging 7% annual returns:
Sarah starts at 25, invests £200/month, stops at 35 (10 years of contributions = £24,000 invested). Then she leaves it to grow untouched until 65.
James starts at 35, invests £200/month continuously until 65 (30 years of contributions = £72,000 invested).
| Detail | Sarah | James |
|---|---|---|
| Started investing | Age 25 | Age 35 |
| Stopped contributing | Age 35 | Age 65 |
| Years of contributions | 10 | 30 |
| Total invested | £24,000 | £72,000 |
| Value at age 65 | £402,000 | £227,000 |
Sarah invested one-third of what James did, yet ended up with nearly twice as much. That's compound interest in action. The extra 10 years of growth made all the difference.
This example uses the historical average return of the FTSE All-Share index, which has returned approximately 7% annually over the long term according to the Barclays Equity Gilt Study, one of the longest-running analyses of UK investment returns.
Where to Get Compound Interest in the UK
Cash Savings Accounts
The safest option. UK savings accounts are protected up to £85,000 per person per bank by the Financial Services Compensation Scheme (FSCS). As of 2024, the best easy-access accounts offer around 4.5-5% AER.
Cash ISAs
Same as savings accounts but tax-free. You can save up to £20,000 per tax year in ISAs. At current rates, a cash ISA at 4.5% means every penny of interest is yours — no tax to pay.
Stocks and Shares ISAs
Higher potential returns (historically 7-10% annually for global index funds) but with risk. Your money can go down as well as up. Best for money you won't need for 5+ years.
Pensions
The ultimate compound interest vehicle. Money goes in before tax (so £100 of earnings becomes £100 in your pension, not £80 after tax), grows tax-free, and compounds for decades. The government effectively gives you a 25% bonus on contributions (or 40% for higher-rate taxpayers).
Premium Bonds
Not technically compound interest — you enter a monthly prize draw instead. The current prize fund rate is 4.0% (as of 2024), but your actual return depends on luck. No risk to your capital, but no guaranteed return either.
The Rule of 72
Want a quick way to estimate how long it takes to double your money? Divide 72 by the interest rate:
Years to double = 72 / interest rate
| Interest Rate | Years to Double |
|---|---|
| 2% | 36 years |
| 4% | 18 years |
| 5% | 14.4 years |
| 7% | 10.3 years |
| 10% | 7.2 years |
| 12% | 6 years |
At 7% returns, your money doubles roughly every 10 years. So £10,000 becomes £20,000 in 10 years, £40,000 in 20 years, and £80,000 in 30 years — without adding anything extra.
Real-World Scenarios
Scenario 1: Emergency Fund
£5,000 in a savings account at 4.5% AER, compounding monthly, left for 3 years:
- Final amount: £5,714
- Interest earned: £714
Scenario 2: House Deposit
Saving £500/month into a cash ISA at 4.5% for 5 years:
- Total deposited: £30,000
- Interest earned: £3,520
- Final amount: £33,520
Scenario 3: Retirement Fund
£300/month into a stocks and shares ISA averaging 7% for 30 years:
- Total deposited: £108,000
- Investment growth: £254,000
- Final amount: £362,000
In the retirement scenario, compound interest generates more than double what you actually put in. That's the magic of time.
Compound Interest Working Against You
The same force that grows your savings can destroy your finances when it's working in the lender's favour:
- Credit cards at 22% APR: A £3,000 balance making minimum payments takes over 25 years to clear and costs over £4,000 in interest
- Overdrafts at 39.9% APR: £1,000 overdrawn for a year costs nearly £400 in interest
- Payday loans: Can have effective APRs of 1,000%+ — compound interest at its most destructive
The lesson: make compound interest work FOR you (savings, investments) not AGAINST you (debt).
Try Our Free Compound Interest Calculator
See exactly how your money could grow. Our free compound interest calculator lets you input your starting amount, monthly contributions, interest rate, and time period — then shows you the final amount with a clear breakdown of deposits vs interest earned.
Try different scenarios. See what happens if you start 5 years earlier, add £50 more per month, or get 1% higher returns. Small changes compound into enormous differences over time.
Frequently Asked Questions
What is compound interest in simple terms?
It's interest earned on interest. Your money earns interest, then that interest earns its own interest, and so on. Over time, this creates exponential growth rather than linear growth.
How often does interest compound in UK savings accounts?
Most UK savings accounts compound daily or monthly. The AER (Annual Equivalent Rate) shown by banks already accounts for compounding frequency, making it easy to compare accounts.
Is compound interest the same as APR?
Not exactly. APR (Annual Percentage Rate) is used for borrowing and includes fees. AER (Annual Equivalent Rate) is used for savings and shows the effective annual return including compounding.
How much will £10,000 grow in 10 years?
At 5% compounded annually: £16,289. At 7%: £19,672. At 10%: £25,937. Use our calculator for exact figures at any rate.
What's the best way to benefit from compound interest?
Start as early as possible, contribute regularly, reinvest all returns, use tax-efficient wrappers (ISAs, pensions), and be patient. Time is the most powerful ingredient.
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