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