How compound interest works
Compound interest is the reason small, regular saving turns into a meaningful sum over time. Each time interest is paid, it’s added to your balance, so the next round of interest is calculated on a slightly bigger number. Over months and years that snowball effect does most of the heavy lifting, especially when you keep topping the pot up.
The maths behind it is the formula A = P(1 + r/n)nt, where P is your starting amount, r is the annual rate, n is how many times a year interest is applied, and t is the number of years. This calculator runs that month by month and layers your regular contributions on top, so the total you see reflects both your deposits and the interest they earn.
Simple vs compound interest
Simple interest only ever pays on your original deposit. Compound interest pays on your deposit plus all the interest already earned. On a £5,000 balance at 5%, simple interest pays £250 every year forever; compound interest pays £250 in year one, then more each year as the balance climbs. Over a decade the compound version pulls clearly ahead, and the longer you leave it, the wider the gap.
Tax on savings interest in the UK
Interest can be taxable once it passes your Personal Savings Allowance: £1,000 tax-free for basic-rate taxpayers, £500 for higher-rate, and none for additional-rate taxpayers. Anything above that is taxed at your income tax rate. Interest earned inside a cash ISA is always tax-free, up to the annual ISA allowance. Allowances change from time to time, so confirm the current figures on GOV.UK before making decisions, this tool is a guide, not financial advice.
Using this as a savings interest calculator
The same maths a savings interest calculator uses is what powers this tool. Enter a starting balance, a regular monthly deposit and an interest rate (use the account’s AER), and it shows how much interest you’ll earn and how your savings grow, year by year. Leave the monthly deposit at zero to project a single lump sum instead. Switch to goal mode to work out how much to put away each month to reach a savings target instead.
Use it as a savings or investment calculator
The same compounding maths drives a savings pot and a long-run investment, so this doubles as an investment calculator. For a savings account, enter the AER and expect a steady, predictable balance. For investments, enter a long-run growth estimate instead of a guaranteed rate: £300 a month at an assumed 7% over 25 years grows to roughly £243,000, of which about £90,000 is your contributions and the rest is growth. Investment returns are not fixed and can fall as well as rise, so treat the projection as a guide, not a promise, and use a cautious rate if you are unsure.
How to use this calculator
- Pick a mode: “Grow my savings” to project a balance, or “Reach a goal” to find the monthly amount needed.
- Enter your starting amount and, in grow mode, how much you'll add each month.
- Set the annual interest rate (use the account's AER) and how many years you'll save for.
- Choose how often interest compounds, monthly is the most common for UK savings accounts.
- Read your projected balance, the interest earned, and the year-by-year table.
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Simon is the founder of Orbit Money, a tool that helps people track subscriptions and recurring spend. He builds Orbit's free money calculators and writes about personal finance for UK and Australian readers.
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