Future Value Calculator
The finance-class FV calculation, done properly: lump sum, periodic payments, or both — with each formula's contribution broken out.
The future value formulas
Payments (ordinary annuity): FV = PMT × [(1 + r)n − 1] ÷ r
where r is the rate per period and n the number of periods. The calculator uses your compounding frequency for both.
$10,000 today at 6% compounded monthly for 10 years:
r = 0.005, n = 120 → FV = 10,000 × 1.005120 = 10,000 × 1.8194 = $18,194
No lump sum today, but you deposit $500 every quarter for 20 years at a 5% annual rate compounded quarterly. Here r = 0.05 ÷ 4 = 0.0125 and n = 20 × 4 = 80 periods.
FV = 500 × [(1.0125)80 − 1] ÷ 0.0125 = 500 × [2.7015 − 1] ÷ 0.0125 = $68,059 — of which $40,000 was your own deposits and $28,059 was interest.
How compounding frequency changes the outcome
| Compounding frequency | FV of $10,000 at 6% for 10 years |
|---|---|
| Annual | $17,908 |
| Quarterly | $18,140 |
| Monthly | $18,194 |
| Daily | $18,221 |
Most of the gain from more frequent compounding shows up by the time you reach monthly — going from monthly to daily only adds about $27 on a $10,000 balance here, far less than the jump from annual to monthly ($286). Always check whether a quoted rate is nominal (annual, pre-compounding) or already an APY/APR, since mixing the two up misstates the result.
Common future value mistakes
- Using the annual rate directly when payments or compounding happen more often than yearly. Divide the annual rate by the number of periods per year first (r = annual rate ÷ frequency), as both worked examples above do.
- Forgetting to multiply years by frequency to get total periods (n). 20 years of quarterly deposits is 80 periods, not 20 — using the wrong n understates future value substantially.
- Treating the FV result as today's purchasing power. FV is a nominal dollar figure; see the inflation calculator for what it's actually worth in today's terms.
Why FV matters beyond the classroom
Every financial plan is a future value problem in disguise: "what will my savings become" (savings), "will my 401(k) be enough" (retirement), "what does waiting cost me." The formula also runs backward — that's present value — and together they let you compare money across time, which is the entire foundation of finance. One caution: FV outputs are nominal dollars. $18,194 in 10 years buys what about $13,500 buys today at 3% inflation — check the real number with the inflation calculator.
Frequently asked questions
What is future value?
What today's money becomes at a future date given a return: $10,000 at 6% → $17,908 in 10 years (annual compounding).
What is the future value formula?
Lump sum: PV(1+r)n. Payment stream: PMT((1+r)n−1)/r.
Future value vs. present value?
Inverses — FV multiplies by (1+r)n, PV divides by it.
Does compounding frequency change the result much?
Somewhat: $10,000 at 6% for 10 years is $17,908 annual, $18,194 monthly, $18,221 daily. Most of the gain is captured by monthly.
How do I calculate FV with only regular payments, no lump sum?
FV = PMT × [(1+r)n − 1] ÷ r with PV = 0. $500/quarter for 20 years at 5% ≈ $68,059.
Related calculators
Note: Assumes end-of-period payments (ordinary annuity) and a constant rate. Not financial advice. Last reviewed: September 2026.