Future Value Calculator
- PV (Present Value)
- $1,736.01
- Total Periodic Deposits
- $1,000.00
- Total Interest
- $1,108.93
PV (Present Value) is the single amount today that would grow to the same future value at this rate.
Schedule
| Period | Deposit | Interest | Ending balance |
|---|---|---|---|
| 1 | $100.00 | $60.00 | $1,160.00 |
| 2 | $100.00 | $69.60 | $1,329.60 |
| 3 | $100.00 | $79.78 | $1,509.38 |
| 4 | $100.00 | $90.56 | $1,699.94 |
| 5 | $100.00 | $102.00 | $1,901.93 |
| 6 | $100.00 | $114.12 | $2,116.05 |
| 7 | $100.00 | $126.96 | $2,343.01 |
| 8 | $100.00 | $140.58 | $2,583.59 |
| 9 | $100.00 | $155.02 | $2,838.61 |
| 10 | $100.00 | $170.32 | $3,108.93 |
This future value calculator shows what a starting amount plus regular deposits will grow to after a number of periods at a fixed interest rate, along with the equivalent value today.
A period can be a year, a quarter, a month or any regular interval; the only rule is that the rate and the deposits must use the same one. For monthly deposits with a 6% annual rate, enter 0.5% per period and the number of months.
Future Value
Future value is what a sum of money will be worth at a later date once it has earned interest. It answers questions like: if I put $1,000 aside today and add $100 every year, earning 6%, how much will I have in ten years? The answer, about $3,108.93, combines two pieces: $1,000 compounded for ten years ($1,790.85) and the ten $100 deposits, each compounded for the years remaining after it was made ($1,318.08).
Future value calculations assume a constant rate, which suits savings accounts, CDs and bonds held to maturity. For stocks and other volatile assets, the result is a projection at an average return, not a promise. Discounting that future value back at the same rate gives its present value, $1,736.01 in this example: the single sum that, invested today, would reach the same total.
FV = PV(1 + i)ᴺ + PMT × [(1 + i)ᴺ − 1] ÷ i
- FV
- future value
- PV
- starting amount
- PMT
- deposit each period
- i
- interest rate per period, as a decimal
- N
- number of periods
When deposits are made at the beginning of each period (an annuity due), multiply the deposit term by (1 + i).
The Time Value of Money
A dollar today is worth more than a dollar promised later, because money you hold now can be invested to earn a return, and because inflation and uncertainty erode future amounts. This idea, the time value of money, links present and future values through an interest rate and a number of periods. Five quantities appear in nearly every problem: PV, FV, PMT, the rate I/Y and the number of periods N. Know any four and the fifth follows.
| $1,000 today at | 5 years | 10 years | 20 years | 30 years |
|---|---|---|---|---|
| 3% | $1,159.27 | $1,343.92 | $1,806.11 | $2,427.26 |
| 6% | $1,338.23 | $1,790.85 | $3,207.14 | $5,743.49 |
| 9% | $1,538.62 | $2,367.36 | $5,604.41 | $13,267.68 |
Frequently asked questions
What is the future value formula?
For a lump sum, FV = PV × (1 + i)^N. With regular deposits, add PMT × [(1 + i)^N − 1] ÷ i, multiplied by (1 + i) if deposits come at the start of each period.
What is the future value of $1,000 in 10 years at 6%?
$1,790.85 with annual compounding. Adding $100 at the end of every year raises it to $3,108.93.
Does deposit timing matter?
Yes. Deposits at the beginning of each period earn one extra period of interest, so the future value is higher. With the defaults, switching to beginning raises the result from $3,108.93 to $3,188.01.
Can the rate be negative?
Yes, any rate above −100% works, for example to model a currency or asset losing value. The result then shows a future value below the money put in.
Results are estimates for educational purposes and are not financial, tax or legal advice. Confirm figures with a qualified professional or your lender.
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