About the Future Value Calculator
A future value calculator projects what a sum today will be worth after a period of growth. It is one half of the time value of money — the principle that a dollar now is worth more than a dollar later, because it can be invested in the meantime.
The formula
FV = PV · (1 + r/n)^(nt)PV is the present value, r the annual rate, n the compounding periods per year, and t the years. More frequent compounding raises the result slightly.
How to use this calculator
- 1Enter your Present Value ($). The field starts at
5000, which you can overwrite. - 2Enter your Annual Interest Rate (%). The field starts at
7, which you can overwrite. - 3Enter your Number of Years. The field starts at
10, which you can overwrite. - 4Enter your Compounding (1=Annual, 12=Monthly, 365=Daily). The field starts at
12, which you can overwrite. - 5Read the result straight away — it recalculates as you type, so there is no button to press. Use Share to copy a link that reopens the page with your exact numbers filled in.
Worked example
| Input | Value |
|---|---|
| Present Value ($) | 5000 |
| Annual Interest Rate (%) | 7 |
| Number of Years | 10 |
| Compounding (1=Annual, 12=Monthly, 365=Daily) | 12 |
Result
Future Value: $10,048.307
Total Gain: $5,048.307
Return: 100.97%
Effective Annual Rate: 7.229%
Those are the values the page loads with, so you can reproduce this result yourself and then change one field at a time to see what drives the outcome.
Understanding your result
Future value is the foundation of financial comparison. Any decision involving money at different points in time — a lump sum now versus payments later, a lease versus a purchase, an annuity versus a pension — requires putting the amounts on a common footing, and future value is one of the two ways to do it.
The discount rate you choose is the substantive assumption, not the arithmetic. At 5 percent, 10,000 dollars becomes about 16,500 in ten years; at 8 percent, about 21,600. Since neither rate is knowable in advance, future value calculations are best run across a range rather than treated as a single answer.
Things worth knowing
- Compounding frequency has a real but modest effect. Daily compounding beats annual by roughly 0.25 points at typical rates.
- Use a real rate — nominal minus inflation — to express the result in today's purchasing power.
- For a series of payments rather than a lump sum, use the future value of an annuity formula.
- Continuous compounding is the theoretical limit: FV = PV · e^(rt).
- Run the calculation at several rates. A single projection implies more certainty than exists.
Frequently asked questions
What is future value?+
What a sum of money today will be worth at a specified point in the future, given an assumed rate of return. It is the basis for comparing amounts received at different times.
How does compounding frequency affect future value?+
More frequent compounding produces a slightly higher result. At 6 percent, monthly compounding beats annual by about 0.17 percentage points of effective yield — real but far less important than the rate itself.
What is the difference between future value and present value?+
They are inverses. Future value grows a sum forward in time; present value discounts a future sum back to today. Both use the same rate and the same relationship.
Should I adjust for inflation?+
Yes, if you want the answer in today's purchasing power. Use a real rate — roughly nominal minus inflation — otherwise the figure overstates what the money will actually buy.