Present Value Calculator

What a future sum is worth today at a discount rate and frequency.

What it does

A dollar today beats a dollar in ten years because today money can earn. Present value runs that logic backward: it asks what lump sum, invested now at some rate, would grow into the future amount. The answer prices settlements, lottery choices, and any promise of later cash.

The tool above discounts one future sum at a rate you pick, with yearly, twice yearly, quarterly, or monthly compounding. Type the future value, the discount rate, and the years away, then read what it is worth now plus how much time value was stripped out.

The default discounts $10,000 due in 10 years at 6 % yearly to $5,583.95 today, a $4,416.05 haircut with a 0.5584 factor. The same inputs at monthly compounding slip a touch lower to $5,495.31, because more frequent compounding grows money faster and therefore discounts harder.

The formula here is the standard classroom identity taught from NYU Stern lecture notes to Utah State course slides: future value equals present value times (1 + rate)^periods, so present value divides instead. Nothing on this page handles streams of payments; annuities need their own factors.

Rates are judgments, not facts. Picking 3 % versus 8 % moves the answer by thousands, so rerun the page across a range and say which rate you used whenever you quote a figure.

How to use

1. Type the future sum in dollars.
2. Type the yearly discount rate as a percent.
3. Type how many years away the money sits.
4. Pick the compounding frequency.
5. Read present value first, then the discount amount.
6. Rerun at a higher and lower rate to bracket the answer.

Formula

PV

Value today in dollars.

FV

Future sum in dollars.

r

Yearly discount rate as a decimal.

m

Compounding periods per year (1, 2, 4, or 12).

n

Years until receipt.

At a zero rate the divisor is 1 and present equals future, which the tool handles directly. Negative rates would inflate the present above the future and are excluded here. For payment streams, sum one such term per payment or use the annuity shortcut PV = PMT x (1 - (1 + r)^-n) / r.

Worked example

Reference table

Limits

• Single lump sum only; payment streams need annuity math.
• Ignores taxes, default risk, and inflation unless built into the rate.
• One flat rate across all years misreads yield curves that slope.
• Nominal versus real rates answer different questions; label which you used.

Common mistakes

• Entering the rate as 6 instead of 6 % scale (the tool takes percent directly).
• Forgetting frequency: monthly loans need monthly compounding.
• Comparing nominal offers with a real discount rate.
• Quoting cents precision on a rate that was guessed.
• Discounting after tax cash at a pre tax rate.

Try it yourself

Quick checks. Answers sit tucked under each question.

Questions

Sources

• NYU Stern: Present value lecture notes (Damodaran)
• Utah State: present value course slides (FCS 3450)

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