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Compound Interest Calculator

Calculate how your savings or investments grow over time with compound interest.

What Is a Compound Interest Calculator?

There's a reason people call compound interest the eighth wonder of the world — and a reason credit card companies love customers who only make minimum payments. The same mechanism that quietly builds your ISA into a meaningful sum is the one that turns a £500 credit card debt into £1,500 if you let it run.

The numbers: £10,000 at 5% simple interest earns exactly £5,000 over 10 years. The same amount at 5% compounded monthly earns £6,470 — nearly 30% more. Add a modest £200 monthly contribution and after 10 years you have £44,677. The gap between simple and compound interest widens dramatically with time, which is why starting a pension or ISA in your twenties produces results that feel almost unfair compared to starting in your forties.

Enter your starting amount, annual interest rate, compounding frequency, and the time period. Add monthly contributions to see how regular saving accelerates growth. The output shows your projected balance, total contributions, and total interest earned separately — so you can see exactly how hard your money is working versus how much you actually put in.

£10,000 at 5% over 20 years£20,000£26,533£26,533£20,000£10,000Simple interest £20,000Compound interest £26,533

How Do You Use This Compound Interest Calculator?

Enter your initial deposit, annual interest rate, compounding frequency, and time period. Optionally add regular monthly contributions. Click Calculate to see your projected balance.

  1. Enter your initial deposit or investment amount in pounds.
  2. Set the annual interest rate as a percentage.
  3. Choose the compounding frequency (daily, monthly, quarterly, or yearly).
  4. Enter the investment period in years.
  5. Add any regular monthly contributions if applicable.
  6. Click Calculate to view the projected balance and interest earned.
  7. Compare results by adjusting the compounding frequency or rate.

How Does the Compound Interest Calculator Formula Work?

The formula used: A = P(1 + r/n)^(nt) where P = principal, r = annual rate, n = compounds per year, t = years

The compound interest formula calculates the future value of an investment that earns interest on accumulated interest.

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

A is the final amount. P is the initial principal. r is the annual interest rate as a decimal. n is the number of times interest compounds per year. t is the number of years. For monthly contributions, the future value of an annuity formula is added: PMT × [((1 + r/n)^(nt) - 1) / (r/n)].

What Are Some Example Calculations?

£10,000 at 5% compounded monthly for 10 years with £200/month contributions: Final balance = £44,677. Total contributions = £34,000. Total interest earned = £10,677.

£5,000 lump sum at 4% compounded yearly for 20 years with no contributions

A = 5000 × (1 + 0.04/1)^(1×20) = 5000 × 1.04^20 = 5000 × 2.1911

Final balance = £10,955.62. Total interest earned = £5,955.62.

£1,000 initial deposit at 6% compounded monthly for 30 years with £100/month contributions

Lump sum: 1000 × (1 + 0.005)^360 = £6,022.58. Contributions: 100 × [(1.005^360 - 1) / 0.005] = £100,451.50

Final balance = £106,474.08. Total contributions = £37,000. Total interest earned = £69,474.08.

£25,000 ISA at 3.5% compounded daily for 5 years with no contributions

A = 25000 × (1 + 0.035/365)^(365×5) = 25000 × 1.0000959^1825

Final balance = £29,766.53. Total interest earned = £4,766.53.

When Should You Use a Compound Interest Calculator?

Use it to model your Cash ISA, Stocks and Shares ISA, or savings account. Enter the current balance, your provider's AER, and how many years until you need the money. Then test what adding £50 or £100 a month does to the final figure — the difference over a 15-year period is almost always larger than people expect.

Run it in reverse before taking on high-interest debt. Credit cards often charge 25–40% APR, and that compounds against you fast. A £2,000 balance at 29.9% with no repayments becomes over £4,000 in under three years. Seeing that number written out tends to focus the mind considerably.

What Do These Terms Mean?

Principal
The initial amount of money deposited or invested before any interest is added.
Compound Interest
Interest calculated on the initial principal and all accumulated interest from previous periods.
AER (Annual Equivalent Rate)
The effective yearly interest rate after accounting for compounding frequency. Allows fair comparison between accounts.
Simple Interest
Interest calculated only on the original principal, not on previously earned interest.
Compounding Frequency
How often interest is calculated and added to the balance — daily, monthly, quarterly, or yearly.
Future Value
The projected worth of an investment at a specific date in the future, including all accumulated interest.

How Do the Options Compare?

Compounding FrequencyTimes per Year£10,000 at 5% after 10 YearsInterest Earned
Yearly1£16,288.95£6,288.95
Quarterly4£16,436.19£6,436.19
Monthly12£16,470.09£6,470.09
Daily365£16,486.65£6,486.65

What Are the Best Tips to Know?

  • Start contributing as early as possible — time in the market matters more than timing the market.
  • Increase monthly contributions by even £25 per month to see a significant long-term difference.
  • Compare accounts by entering each provider's rate and compounding frequency side by side.
  • Use the Rule of 72 for quick estimates: divide 72 by the interest rate to find doubling time.
  • Reinvest dividends and interest rather than withdrawing to maximise compounding.

What Mistakes Should You Avoid?

  • Using the gross interest rate instead of the AER when comparing savings accounts.
  • Forgetting that inflation erodes the real value of future returns.
  • Assuming past investment returns will continue at the same rate in the future.
  • Overlooking fees and charges that reduce the effective rate of return.
  • Confusing compounding frequency with contribution frequency.

Frequently Asked Questions

What is compound interest?

Compound interest is interest earned on both your original principal and on previously earned interest. Over time, this creates exponential growth, making your money grow faster than with simple interest.

How often should interest compound?

More frequent compounding produces slightly higher returns. Daily compounding earns more than monthly, which earns more than yearly. The difference is most noticeable with larger sums over longer periods.

What is the Rule of 72?

The Rule of 72 is a quick way to estimate how long it takes to double your money. Divide 72 by your annual interest rate. At 6%, your money doubles in approximately 12 years.

How does compound interest differ from simple interest?

Simple interest is calculated only on the original deposit. Compound interest is calculated on the deposit plus all previously earned interest. Over 20 years at 5%, £10,000 earns £10,000 with simple interest and £16,533 with monthly compounding.

What is the best compounding frequency for savings?

Daily compounding produces the highest return. On £10,000 at 5% over 10 years, daily compounding earns £6,486.65 versus £6,288.95 for yearly compounding — a difference of £197.70.

Does compound interest work on debt too?

Yes. Credit cards and some loans charge compound interest on outstanding balances. This means unpaid interest gets added to the debt, and you pay interest on that interest. Pay off high-interest debt before focusing on savings.

How much will £10,000 be worth in 20 years?

At 5% compounded monthly, £10,000 grows to £27,126.40 in 20 years. At 7%, it grows to £40,387.39. Add £200/month contributions at 5% and the total reaches £109,414.26.

What is AER and why does it matter?

AER (Annual Equivalent Rate) shows the true yearly return after accounting for compounding frequency. A 4.9% rate compounded daily has a higher AER than a 5.0% rate compounded yearly. Always compare accounts using AER.

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