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Future Value Calculator

See what a starting amount plus regular deposits will be worth. Enter the number of periods, rate per period, and optional periodic deposit to get the future value, present-value equivalent, and a full schedule.

ExampleSample values — edit any field to see your result.

periods

Each period is one compounding interval. Ten periods at 6% is ten years at 6% per year, or ten months at 6% per month.

$
%

Rate earned each period, not necessarily per year. Match it to N: yearly periods use an annual rate.

$

Added every period. Use a negative amount for a withdrawal.

PMT made at the

of each compound period. Beginning-of-period deposits earn interest in the same period.

Results update as you type.

Future Value

$3,108.93

Estimated result

PV (Present Value)
$1,736.01
Total Periodic Deposits
$1,000.00
Total Interest
$1,108.93

Balance breakdown

Starting amount 32%, Periodic deposits 32%, Interest 36%
  • Starting amount32%
  • Periodic deposits32%
  • Interest36%

Accumulation schedule

PeriodStart balanceDepositInterestEnd balance
1$1,000.00$100.00$60.00$1,160.00
2$1,160.00$100.00$69.60$1,329.60
3$1,329.60$100.00$79.78$1,509.38
4$1,509.38$100.00$90.56$1,699.94
5$1,699.94$100.00$102.00$1,901.93
6$1,901.93$100.00$114.12$2,116.05
7$2,116.05$100.00$126.96$2,343.01
8$2,343.01$100.00$140.58$2,583.59
9$2,583.59$100.00$155.02$2,838.61
10$2,838.61$100.00$170.32$3,108.93
Future Value$3,108.93

See what a starting amount plus optional regular deposits will be worth. Enter the number of compounding periods, the rate earned each period, and a periodic deposit made at the beginning or end of each period. You get the future value, the equivalent present-value lump sum, an interest split, and a period schedule.

Formula

The starting amount compounds for every period. Each deposit then grows for the remaining periods. For a per-period rate i (= I/Y ÷ 100) and N periods, deposits at the end of each period (ordinary annuity):

FV = PV × (1 + i)^N  +  PMT × [ (1 + i)^N − 1 ] / i

Deposits at the beginning of each period (annuity due) earn one extra period of interest, so the PMT term is multiplied by (1 + i). When the rate is 0%, future value is just the starting amount plus every deposit.

The present value on the result is that future value brought back to today: PV = FV / (1 + i)^N. Total interest is the future value minus the starting amount minus the deposits.

I/Y is the rate per compounding period. If you save monthly at 6% a year, either use N = years and 6%, or N = months and 0.5% — do not mix an annual rate with a monthly period count.

Default plan at a glance

ResultAmountShare of FV
Starting amount$1,000.0032%
Periodic deposits$1,000.0032%
Interest$1,108.9336%
Future value$3,108.93100%

Examples

$1,000 start, $100 a period, 6% for 10 periods

A $1,000 opening amount plus $100 at the end of each of 10 periods, earning 6% per period, grows to $3,108.93. Deposits total $1,000 and interest is $1,108.93. The same future value as a single lump sum today is $1,736.01.

Same plan, deposits at the beginning

Move each $100 deposit to the start of the period and the same inputs finish at $3,188.01 — $79.08 extra — because every deposit earns interest in the period it is added. The equivalent present-value lump sum is $1,780.17.

$10 at 6% for 1 period

Ignore deposits and put $10 in at 6% for one period. Future value is $10.60. That is the usual first illustration of compound interest: the original $10 plus 60 cents of interest.

Frequently asked questions

What is future value?
Future value (FV) is what money sitting in an account, or a stream of deposits into that account, is expected to be worth after it has earned compound interest. A savings account is the usual example: $10 at 6% for one period is worth $10.60.
Is the interest rate annual or per period?
Per period. N is the number of compounding periods and I/Y is the rate earned in each of those periods. Ten periods at 6% is ten years at 6% per year, or ten months at 6% per month — whichever interval you meant by a "period."
What is the difference between beginning and end of period?
It sets when each deposit is added. End (an ordinary annuity) is the default: interest is credited on the start balance, then the deposit lands. Beginning (an annuity due) adds the deposit first, so it earns interest in that same period and finishes a little higher.
What does PV (Present Value) mean on the result?
It is the single lump sum you would need today, with no further deposits, to reach the same future value at this rate. It is the future value discounted over N periods, not the starting amount you typed in.
How is this different from the finance or investment calculator?
This page always solves for future value from N, I/Y, a starting amount, and a level deposit. The finance calculator is a five-key TVM solver that can also find PV, PMT, N, or the rate. The investment calculator uses an annual return with a separate compounding frequency and can solve for contribution, rate, start, or length.

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