🔮 Future Value Calculator
Work out the future value of a lump sum and regular contributions – or solve backwards for the present value you need to invest today to hit a target.
Quick answer: $10,000 invested at 6% compounded monthly with $200 added at the end of every month grows to $50,969.84 after 10 years: $34,000 invested in total and $16,969.84 of interest.
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Future Value Calculator inputs
Result
Future value
$50,969.84
$10,000.00 at 6% for 10 years + $200.00 every month
| Starting amount | $10,000.00 |
| Total contributions | $24,000.00 |
| Interest earned | $16,969.84 |
| Future value | $50,969.84 |
- Growth factor on the lump sum
- 1.8194×
- Effective annual rate
- 6.17%
| Year | Amount invested | Growth | Balance |
|---|---|---|---|
| 1 | $12,400 | $684 | $13,084 |
| 2 | $14,800 | $1,558 | $16,358 |
| 3 | $17,200 | $2,634 | $19,834 |
| 4 | $19,600 | $3,924 | $23,524 |
| 5 | $22,000 | $5,443 | $27,443 |
| 6 | $24,400 | $7,202 | $31,602 |
| 7 | $26,800 | $9,218 | $36,018 |
| 8 | $29,200 | $11,507 | $40,707 |
| 9 | $31,600 | $14,085 | $45,685 |
| 10 | $34,000 | $16,970 | $50,970 |
How to use the future value calculator
Choose whether to solve for the future value or the present value. Enter the starting amount (or your target), the annual rate, the number of years and how often interest compounds. Add an optional regular contribution, how often you make it, and whether it comes at the start or end of each period.
The formulas
FV = PV × (1 + r/n)n·t + PMT × ((1 + i)N − 1) ÷ i
r is the annual rate, n the compounding periods a year, t the years, i the rate per contribution period and N the number of contributions. For an annuity due the contribution term is multiplied by (1 + i). Present value rearranges this: PV = (FV − contributions' FV) ÷ (1 + r/n)n·t.
Worked example
$10,000 at 6% compounded monthly grows to $18,193.97 in 10 years. Adding $200 at the end of each month contributes another $32,775.87, for a future value of $50,969.84. To reach the same $50,969.84 without adding anything, you would need to invest $28,014.69 today.
How $10,000 grows at different rates (10 years, monthly compounding)
| Rate | Future value |
|---|---|
| 3% | $13,493.54 |
| 5% | $16,470.09 |
| 6% | $18,193.97 |
| 8% | $22,196.40 |
| 10% | $27,070.41 |
Use a negative rate to model a loss, or an expected inflation rate to see what money will be worth in real terms.
Estimates for educational purposes, not financial advice.
Frequently asked questions
What is the future value formula?
For a lump sum, FV = PV × (1 + r/n)^(n×t). Regular contributions add PMT × ((1 + i)^N − 1) ÷ i, where i is the rate per contribution period and N the number of contributions. For an annuity due, multiply that part by (1 + i).
What is the difference between an ordinary annuity and an annuity due?
An ordinary annuity pays at the end of each period; an annuity due pays at the start, so every contribution earns one extra period of interest and the future value is higher.
How do I calculate present value?
Present value is future value discounted back: PV = FV ÷ (1 + r/n)^(n×t). Choose "Present value" to find how much to invest today – any regular contributions are taken into account.
Does compounding frequency matter?
Yes, a little. At 6%, monthly compounding gives an effective annual rate of 6.17% and daily 6.18%, versus 6% with annual compounding. The effect grows with higher rates and longer periods.