📈 Compound Interest Calculator

Compound interest is why saving pays off so much over the long run: you earn interest not just on your deposit, but on the interest from previous years too. This calculator shows what your savings are worth after a chosen period, including an optional fixed monthly deposit.

%
years
Final value £31,998.32
Total deposited £22,000.00
Total interest £9,998.32
Find the monthly rate: 5% ÷ 12 = 0.4167%
Calculate the growth factor over the term: (1 + 0.004167)^120 = 1.647
Starting amount times growth factor, plus the deposits with interest: = £31,998.32

Formula

FV = P × (1 + i)ⁿ + PMT × (((1 + i)ⁿ − 1) ÷ i)

The first part calculates what your starting amount alone becomes. The second part adds up the growth of each monthly deposit separately, because a deposit in year 1 has longer to grow than one in year 9.

What the variables mean

P
Starting amount — €
PMT
Monthly deposit — €
i
Monthly rate (annual rate ÷ 12 ÷ 100)
n
Number of months

tips

  • Starting early outweighs depositing more later — time is the most powerful factor in compound interest.

warnings

  • This is an indicative calculation with a fixed rate. Real savings and investment returns fluctuate year to year.

commonMistakes

  • Using the annual rate as the monthly rate. Always divide by 12 first.
  • Forgetting inflation erodes the purchasing power of the final amount; use a real (post-inflation) rate if relevant.

useCases

  • Estimating what a savings account yields over 10 or 20 years.
  • Visualising the effect of starting to save earlier.