The exact formula used by banks and financial advisers
Interactive chart showing contributions vs interest earned
Daily, monthly, quarterly, or annual compounding
Enter your savings details to see how compound interest grows your money over time.
Where P is the principal, r is the annual rate, n is the compounding frequency per year, t is years, and PMT is the regular contribution. Unlike simple interest (which only grows linearly), compound interest earns interest on previously earned interest — creating exponential growth.
With simple interest, a £10,000 deposit at 7% earns £700 every year — always £700. With compound interest, you earn £700 in year one, then £749 in year two (7% of £10,700), then £801.43 in year three, and so on. After 30 years, simple interest gives you £31,000 while compound interest gives you over £76,000.
Over short periods, the difference between simple and compound interest is modest. A £10,000 deposit at 5% earns roughly £2,763 with compounding over 5 years versus £2,500 with simple interest. The benefit is real but not dramatic.
Over decades, compounding becomes extraordinary. £10,000 at 7% for 30 years grows to £76,123 — more than seven times your original deposit. Add £200 monthly contributions and the total reaches over £320,000, with more than half coming from interest alone.
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