Present Value Calculator
Calculate the present value of a future lump sum or stream of payments using a discount rate.
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How to use this calculator
FV = future value, r = annual discount rate ÷ 100, n = years.
- 1
Enter the future amount you want to receive or need to reach.
- 2
Enter the annual discount rate (your expected rate of return or cost of capital).
- 3
Enter the number of years until you receive the future amount.
- 4
The result shows what that future sum is worth in today's dollars.
Frequently asked questions
What formula does this tool use?
This tool uses PV = FV ÷ (1 + r)^n, where r is the discount rate ÷ 100 and n is the number of years. It applies one discount step per year and treats the amount as arriving as a single payment on one date.
What is the Discount Factor row?
It is 1 ÷ (1 + r)^n shown to four decimals, the number you multiply a future amount by to bring it to today. At 8% over 10 years the factor is 0.4632, so every 100,000 due in a decade is worth 46,319.35 now. At 0% the factor is exactly 1.0000.
How do I enter the rate: 8 or 0.08?
Enter 8 for 8%. The field is labelled as a percentage per year and is divided by 100 inside the tool. A rate typed as 0.08 would be read as 0.08% and leave the present value almost unchanged.
What happens with a 0% or negative discount rate?
At 0% the present value equals the future value and the discount is zero, as in the 5,000 over three years example. A negative rate makes the present value larger than the future value. A rate of −100% or lower has no meaning here, so the tool shows n/a instead of dividing by zero.
Can it value a series of payments?
No. It discounts one lump sum. For several uneven amounts across different years, the NPV tool takes up to five annual cash flows, and level monthly payments belong in the annuity tool. Running this tool once per year and adding the results by hand is possible but easy to get wrong.
How do I pick a discount rate?
The tool cannot tell you. The rate is whatever you enter, and it is an assumption about what the money could earn elsewhere or how risky the payment is. Small changes matter: on this page, moving from 4% to 12% on the same 100,000 cuts the present value from 67,556.42 to 32,197.32.
Are fractional years allowed, and is anything else deducted?
Fractional years work, because the exponent n can be any number. Nothing else is deducted: no tax, fees, inflation adjustment or probability that the payment never arrives. The result is an illustration from your inputs, not a forecast or advice.
Discounting one future amount back to today
One division by a growth factor
Present value runs the compound-growth formula backwards. If money grows by (1 + r) each year, an amount due in n years is worth that amount divided by (1 + r)^n today. The calculator takes your future amount, rate and number of years, and returns that single division along with the size of the discount and the factor used.
Worked example: 100,000 in ten years
With the built-in inputs of 100,000, 8% and 10 years, the present value is $46,319.35. The total discount is $53,680.65, and the discount factor is 0.4632. In plain terms, at an 8% annual rate you would need to hold $46,319.35 today to end up with $100,000 after ten years of compounding, and the calculator shows nothing about whether that rate is reasonable.
How the rate and the wait change the value
The table keeps 100,000 and ten years fixed while the rate moves, then adds two different setups. A higher rate pulls the present value down quickly, because it compounds across every year. The long, low-rate row shows the opposite pattern: a modest rate over 25 years still removes more than half.
| Future amount, rate, years | Present value | Discount factor |
|---|---|---|
| 100,000, 4%, 10 | $67,556.42 | 0.6756 |
| 100,000, 8%, 10 | $46,319.35 | 0.4632 |
| 100,000, 12%, 10 | $32,197.32 | 0.3220 |
| 20,000, 3.5%, 25 | $8,462.94 | 0.4231 |
| 5,000, 0%, 3 | $5,000.00 | 1.0000 |
Where a lump-sum present value fits
This is the building block behind comparing a payment now with a payment later, such as a settlement offered as a lump sum or a deferred amount you are owed. Discount the later figure at a rate you can justify and compare it with the cash on offer today. The comparison is only as sound as the rate chosen, so try several and see how far the answer moves.
Limits of the calculation
The tool assumes a single payment, a constant rate and yearly compounding. It does not model the risk that the money is not paid, and it ignores tax, fees and changing prices. Use it as a quick way to see what a later amount is worth under the assumptions you typed, not as a prediction of any outcome. Setting the rate to 0% is a handy sanity check, since the present value must then equal the future value and the factor must read 1.0000. Because the rate and the years both sit in the exponent, a slip in either is magnified, so check the units before reading the result.
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Results are estimates for informational purposes only and do not constitute professional financial, medical, legal, or technical advice. Read full disclaimer →