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Present Value Calculator

Find what a future sum, or a series of payments, is worth today at a discount rate.

Change the values and press Calculate to work out your own figures.

Of a future sum

Enter the future value, rate per period and periods.

About future value (fv)The amount at the end.
About rate per period, % (i/y)The rate for one period.
About number of periods (n)Payment or compounding periods.
About currencyChanges how amounts are shown, not the math; your choice is remembered on this device.
Result
Present value
$558.39
Discount
$441.61

$1,000.00 then is worth $558.39 today.

Show the working
  1. PV = FV ÷ (1 + i)^N

Of periodic payments

Enter the periods, rate and payment.

About number of periods (n)Payment or compounding periods.
About rate per period, % (i/y)The rate for one period.
About payment per period (pmt)Paid or deposited each period.
About contributions at theBeginning earns one more period of interest.
About currencyChanges how amounts are shown, not the math; your choice is remembered on this device.
Result
Present value
$736.01
Payments
$1,000.00
Future value
$1,318.08

The payments are worth $736.01 today.

Show the working
  1. PV = PMT × (1 − (1 + i)^−N) ÷ i

How to use it

Enter the future value, rate per period and periods. Enter the periods, rate and payment.

Enter amounts without commas or with them; rates are percentages (5 for 5%). Negative amounts are allowed where a sign means money paid out.

Key facts

PV = FV ÷ (1 + i)^N; payments: PMT × (1 − (1 + i)^−N) ÷ i

Questions

What is $1,000 in 10 years at 6% worth today?

$558.39.

What are 5 yearly payments of $2,000 at 6.5% worth today?

$8,311.36.

Formulas

PV = FV ÷ (1 + i)^N; payments: PMT × (1 − (1 + i)^−N) ÷ i

Sources

Limitations

  • Results are estimates for planning, not offers or financial advice; lenders and banks may round, count days or time payments differently.
  • Rates are nominal annual rates compounded as you choose; payments at a different frequency use the equivalent periodic rate.

Formula version 0.1.0Reviewed