What is future value?
Future value is the calculated worth of an amount at a later date under a specified growth assumption. It connects today’s principal with tomorrow’s nominal balance. The number is conditional: change the rate, time horizon or compounding convention, and the result changes. It is a mathematical scenario rather than evidence that a particular investment will deliver that return.
At today’s date, the starting amount is $1,000.
How to use this future value calculator
Start with the amount already available today. Enter an annual nominal rate as a percentage: type 5 for 5%, not 0.05. Choose years or months, then select the compounding frequency. Press Calculate to refresh the result, inspect the breakdown and optionally export it. Changing the display currency changes the symbol and formatting while preserving your numerical inputs.
Future value formula
FV = PV × (1 + r/m)^(m×t). PV is the initial principal, r is the nominal annual rate as a decimal, m is compounding periods per year, and t is years. The expression r/m gives a periodic rate. The exponent counts compounding periods, including fractional periods under this model. With no elapsed time or a zero rate, future value equals the initial amount.
PV is the present value: the starting amount available today.
Worked example: $1,000 over ten years
Start with $1,000, assume a 5% nominal annual rate and compound annually for ten years. Substitution gives 1,000 × 1.05^10 = 1,628.894626777. Rounded to cents, the future balance is $1,628.89 and interest is $628.89. The first year adds $50. In the second year, growth applies to $1,050, producing $52.50 rather than another flat $50.
At year 0, no growth has been added yet.
How compounding frequency changes the result
Hold the principal, nominal rate and term constant before comparing frequencies. A 12% nominal annual rate compounded monthly means 1% each month and an effective annual rate of approximately 12.6825%. It is not equivalent to a 12% effective annual return. More frequent compounding at the same positive nominal rate creates additional growth, but daily compounding is still distinct from continuous compounding.
Annual compounding produces $1,628.89 in this example.
| Frequency | Future value |
|---|---|
| Annual | $1,628.89 |
| Semiannual | $1,638.62 |
| Quarterly | $1,643.62 |
| Monthly | $1,647.01 |
| Daily (365) | $1,648.66 |
Add regular contributions
A lump sum is present for the entire horizon. Later deposits are not: a deposit made near the end has much less time to accumulate growth. The contributions calculator tracks these payment events separately, including deposit frequency, beginning or end timing and annual increases. Selecting monthly compounding on this page does not add monthly payments. Use the dedicated contributions tool when money will be added over time.
Each deposit arrives at the end of its month and reaches $1,268.25.
Future value vs present value
Future value moves an amount forward using a growth factor. Present value moves a future amount backward by dividing by that factor. At 10% for one year, $1,000 today corresponds to $1,100 later. Discounting that $1,100 using the same rate returns $1,000. Both values describe the same modeled cash flow at different dates; neither rate is automatically the appropriate one for every decision.
At 10%, $1,000 today grows to $1,100 in one year.
Inflation and purchasing power
A larger nominal balance does not necessarily buy proportionally more goods and services. To express a future balance in today’s purchasing power, divide it by the accumulated inflation factor. For example, $1,210 after two years with assumed 10% annual inflation has a present purchasing-power equivalent of $1,000. Use the inflation-adjusted tool for forward scenarios and the historical-dollar tool for observed price-index comparisons.
At 10% assumed inflation for two years, $1,210 has $1,000 of today’s purchasing power.
Adjust a projection for inflation · Compare historical dollars
What this calculator includes and excludes
The homepage includes one starting amount, one constant nominal annual rate, the selected compounding frequency and fractional-exponent growth. It excludes recurring deposits, withdrawals, fees, taxes and inflation. Daily means 365 periods per year, not an actual-calendar bank convention. Negative rates are supported within the stated input bounds and produce an explicitly labeled loss. Results are rounded for display, not during each compounding step.
This homepage models one starting amount under one constant rate convention.
Learn the method
The step-by-step future value guide works from an equation through units, substitution and a numerical result. The present-versus-future guide explains how discounting reverses compounding. Spreadsheet guidance covers Excel’s FV function and its signed cash flows. Read the methodology for numerical limits, partial periods and payment order before comparing a result with a bank statement or a calculator using a different convention.
Common questions
Eight concise answers cover definitions, formulas, payments, inflation, guarantees and spreadsheet differences.
What is future value?
It is the value of an amount at a later time under an entered rate and compounding assumption. It is not a guaranteed outcome.
How do I calculate FV?
Multiply principal by (1 + annual nominal rate / compounding frequency) raised to the number of compounding periods. Convert percentages to decimals first.
Is FV the same as compound interest?
Future value is the total ending amount. Compound interest is the growth component; for a lone lump sum, it equals future value minus principal.
Can I include monthly payments?
Use the contributions calculator. Monthly compounding on the homepage does not add deposits.
Does the result include inflation?
No. Use the inflation-adjusted investment calculator to compare nominal value and purchasing power.
What happens at a 0% rate?
A lump sum stays unchanged. In a deposit model, each payment increases the total without earning interest.
Are the results guaranteed?
No. The arithmetic follows your assumptions, but actual returns, inflation, fees and taxes can differ.
Why can a spreadsheet show a different answer?
Check nominal versus effective rates, annual versus periodic units, payment timing, signs, and rounding. Excel’s FV uses a rate per payment period.
Learn more
Start with the step-by-step future value formula guide.
Open the formula guide →How to calculate future value · Spreadsheet calculations · All learning guides
Use these figures to explore assumptions. Actual interest, returns, fees, taxes and purchasing power can differ.