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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