Finance calculators

Savings growth calculator

What your starting savings and regular saving grow to after a number of years, with the interest earned and a year-by-year path.

Inputs

Results

Every input and result then gets a + calc button.

Methodology

Conventions

  • Interest is added as often as you save: monthly saving earns interest monthly, at the annual rate divided by the number of savings a year.
  • Each saving is made at the start or end of its period, as chosen.

References

  • Kellison, The Theory of Interest, ch. 3 and 5

Formulas

Rate per period
i = r / p
Starting savings
FV_0 = S (1 + i)^{p t}
Regular saving
FV_c = C \cdot \frac{(1 + i)^{p t} - 1}{i} \cdot (1 + i)^{\delta},\ \delta = 1 \text{ if saved at the start}
Savings at the end
FV = FV_0 + FV_c