How this future value calculator works
Most savings and investment plans follow the same basic pattern: you start
with some money, add more over time, and earn interest on everything that’s
in the account. This calculator models that process using standard
compound interest formulas.
You can include both a lump sum at the start and
regular contributions each compounding period, such as
monthly deposits into a savings account.
Future value formula (no additional deposits)
If you only have a starting lump sum and no ongoing contributions, the future value is:
FV = PV × (1 + r/m)^(m × t)
PV = starting balance
r = nominal annual interest rate (as a decimal)
m = number of compounding periods per year
t = time in years
This is the classic compound interest formula, showing how a single deposit
grows over time.
Future value formula with regular contributions
If you also make a regular deposit PMT at the end of every
compounding period, the formula becomes:
FV = PV × (1 + r/m)^(m × t)
+ PMT × [((1 + r/m)^(m × t) − 1) ÷ (r/m)]
PV = starting balance
PMT = contribution once per compounding period
r = nominal annual interest rate (decimal)
m = compounding periods per year
t = time in years
The calculator uses this formula under the hood. If the rate is set to 0%,
it simplifies to just PV plus all your contributions with no growth.
Example: monthly savings into a high-yield account
Imagine the following plan:
- Starting balance: $5,000
- Monthly contribution: $200
- Interest rate: 6% per year
- Compounding: monthly (12× per year)
- Time: 10 years
Plugging these into the calculator shows how your balance steadily grows,
how much of the final amount comes from your deposits, and how much comes
from compound interest.
Future value vs present value
Future value (FV) tells you what a stream of deposits will
be worth at a certain point in time, given an interest rate.
Present value (PV) works the other way: it tells you how
much a future amount is worth in today’s money, discounting for interest or
inflation.
This page focuses on future value. If you need the reverse
calculation, look for a present value or net present value (NPV) calculator.
Common compounding options
| Frequency |
Periods per year (m) |
Typical use |
| Annually |
1 |
Simple savings products, some bonds |
| Semi-annually |
2 |
Traditional bonds and some CDs |
| Quarterly |
4 |
Business interest accounts |
| Monthly |
12 |
Most savings accounts and personal loans |
| Weekly |
52 |
Some digital savings products |
| Daily |
365 |
High-yield and online savings accounts |
Tips for using the future value calculator
-
Experiment with increasing your monthly contribution to see
how powerful regular saving can be.
-
Try longer time horizons — compounding becomes more
dramatic over 15–30 years.
-
Remember that taxes, fees and inflation are not included in the
basic future value formulas.
-
For investments that fluctuate a lot, treat the interest rate as an
average long-term return, not a guaranteed figure.
Frequently asked questions
Does this calculator assume deposits at the beginning or end of each period?
It assumes regular contributions happen at the end of each
compounding period (for example, at the end of each month). This matches the
standard future value-of-an-annuity formula.
What if I make deposits on a different schedule than compounding?
To keep things simple and fast, this version assumes the deposit frequency
matches the compounding frequency. If your schedule is different, choose the
frequency that best approximates your pattern or use a more detailed cashflow
model.
Can the interest rate change over time?
Real accounts often change rates, but the math here assumes a fixed average
rate. You can approximate varying rates by using a reasonable long-term
average based on your expectations.
Is the result guaranteed?
No. For savings accounts with a fixed rate, the math can be very accurate;
for investments in stocks or funds, the future value is only an estimate
based on your assumed rate of return.