Future Value Calculator
Calculate the future value of a lump-sum present amount given an annual interest rate and a number of years, with interest applied once per year.
How It's Calculated
Formula
FV = PV \left(1 + \dfrac{r}{100}\right)^{t}Future value is what a present amount of money grows to after earning interest over time. This calculator treats every year you enter as exactly one compounding period: the annual rate is applied once, directly, at the end of each year — it is never divided into monthly, quarterly, or other sub-period rates. Enter a present value, an annual interest rate, and a number of years, and the calculator returns the resulting future value together with the total growth (future value minus present value) that interest alone contributed. If your real-world rate compounds more than once a year, use the Compound Interest Calculator instead, which lets you choose a compounding schedule.
Worked Examples
Lump sum: $10,000 present value, 5% annual rate, 10 years
- Convert the rate to a decimal: r = 5 / 100 = 0.05
- Apply the formula: FV = PV × (1 + r)^t = 10,000 × (1.05)^10
- (1.05)^10 ≈ 1.62889462677744, so FV ≈ 10,000 × 1.62889462677744 = $16,288.95
- Total growth = futureValue − presentValue = $16,288.95 − $10,000 = $6,288.95
Lump sum: $5,000 present value, 8% annual rate, 5 years
- Convert the rate to a decimal: r = 8 / 100 = 0.08
- Apply the formula: FV = PV × (1 + r)^t = 5,000 × (1.08)^5
- (1.08)^5 = 1.4693280768, so FV = 5,000 × 1.4693280768 = $7,346.64
- Total growth = futureValue − presentValue = $7,346.64 − $5,000 = $2,346.64
Frequently Asked Questions
What if my rate compounds more than once a year?
Use the Compound Interest Calculator instead. This calculator intentionally treats each year as a single compounding period with the rate applied once. If your bank or investment compounds monthly, quarterly, or semiannually, the Compound Interest Calculator lets you choose that schedule and will produce a different (typically higher) future value for the same nominal rate.
What does a zero rate mean?
A 0% rate means no growth: the future value equals the present value exactly, and total growth is $0, no matter how many years you enter.
How is this different from a Present Value Calculator?
Future Value Calculator projects forward: it tells you what a present amount grows to at a future date. A Present Value Calculator does the opposite — it tells you how much a known future amount is worth today, discounted backward at the same kind of rate. Use Future Value when you know today's amount and want tomorrow's; use Present Value when you know tomorrow's amount and want today's equivalent.
Why is there no recurring contribution option?
This calculator is deliberately limited to a single lump-sum present value with no recurring deposits. If you want to model regular contributions on top of a starting balance, use the Compound Interest Calculator or the Investment Calculator, both of which support periodic deposits.
Can I use a negative rate to model a declining value?
No — this calculator requires a rate of zero or greater. It's built for growth projections (savings, investments), not for modeling depreciation or other declining-value scenarios, which follow different conventions.