Present Value Calculator (PV of a Future Amount)
Discount a future lump sum to today's dollars using an effective annual discount rate.
How to calculate present value: PV = future value ÷ (1 + r)t, where r is the annual discount rate as a decimal and t is years.
Example: $25,000 received in 12 years, discounted at 6%: $25,000 ÷ 1.0612 = $12,424.23 today.
Going the other way? Use the future value calculator, or read what your money could become.
Build your scenario
Use your actual figures where available. The output is an educational estimate based on the assumptions below.
Displayed amounts are rounded to two decimal places. Keep the same currency and time period across related inputs.
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How this present value calculator works
Present value (PV) answers: how much is a future sum worth today if money can earn (or costs) a stated annual rate? The calculator discounts a single future amount using an effective annual rate, compounded once per year. That is the inverse of the future-value formula used elsewhere on Talreon.
When to use this calculator
- Compare a lump sum you will receive later with cash you could use today.
- Sense-check whether a promised future payment is attractive after discounting.
- Translate a future goal into a starting amount, given a discount rate.
How to use this calculator
- Enter the future amount you expect to receive or need (same currency as your other figures).
- Enter an annual discount rate as a percentage. Higher rates reduce present value.
- Enter the number of years until that amount arrives.
- Read the present value and the discount (future amount minus present value).
Present value formula
where FV is the future amount, r is the decimal annual rate, and t is years
At a 0% rate, present value equals the future amount. As the rate or the time horizon rises, today's equivalent falls.
Worked example: $25,000 in 12 years at 6%
You expect to receive $25,000 in 12 years. Using a 6% effective annual discount rate, the calculator returns a present value of $12,424.23. The implied discount is $12,575.77 — the amount of value that time and the 6% rate remove from the future sum when measured in today's dollars.
If you instead discount at 4% for the same $25,000 in 12 years, present value rises to about $15,614.14. Lower opportunity cost (or lower assumed growth) makes future cash worth more today.
Common mistakes
- Mixing monthly rates with yearly periods without converting.
- Using a nominal rate when the formula expects an effective annual rate.
- Discounting an annuity (many payments) with this single-sum formula.
- Ignoring inflation and taxes when they belong in the rate you choose.
Reading the results
The headline is present value. Discount is future amount minus present value. Future amount and Discount rate repeat your inputs. Pair this tool with the future value calculator to move in either direction along the same compound path, and with the inflation calculator when purchasing power is the main concern.
Picking a discount rate
The discount rate is the most important judgment call in a present-value estimate. An investor might use an expected portfolio return as the opportunity cost of locking money until a future date. A borrower comparing a deferred payment might use the interest rate on alternative financing. For purchasing-power questions, an inflation assumption can serve as the rate, which is related to — but not identical to — the inflation calculator's forward view.
Be consistent about taxes. If the future amount is pre-tax, a pre-tax discount rate keeps the units aligned. If you will pay tax on investment growth, a lower after-tax rate may be more realistic. Present value does not replace a full cash-flow model when payments arrive on many dates; it is the right tool when one lump sum is the whole story.
Present value in everyday decisions
People use present value when choosing between cash now and cash later: a settlement offer, a deferred bonus, or a savings goal dated years ahead. A higher discount rate says you value near-term flexibility or expect stronger alternative returns; a lower rate says future cash is almost as useful as cash today. Re-run the calculator with a low, mid and high rate so you see a range instead of a single point estimate.
Related calculators
- Rule of 72 calculator — quick estimate of how long money takes to double.
- ROI calculator — return on investment as a percentage of cost.
- Dollar-cost averaging calculator — average cost when you invest a fixed amount on a schedule.
- Investment return calculator — total and annualized return over a holding period.
Related education
- Future value — the forward direction of this math.
- How compound interest works — compounding assumptions.
- How inflation reduces purchasing power — real vs nominal thinking.
- Future value calculator · Compound interest · Inflation
Present value table: what $1,000 in the future is worth today
Each cell is $1,000 ÷ (1 + r)t, using annual compounding. Multiply by your own amount ÷ 1,000 to scale it; for $25,000, multiply by 25.
| Years | 2% | 4% | 6% | 8% | 10% |
|---|---|---|---|---|---|
| 1 yr | $980.39 | $961.54 | $943.40 | $925.93 | $909.09 |
| 5 yr | $905.73 | $821.93 | $747.26 | $680.58 | $620.92 |
| 10 yr | $820.35 | $675.56 | $558.39 | $463.19 | $385.54 |
| 15 yr | $743.01 | $555.26 | $417.27 | $315.24 | $239.39 |
| 20 yr | $672.97 | $456.39 | $311.80 | $214.55 | $148.64 |
| 30 yr | $552.07 | $308.32 | $174.11 | $99.38 | $57.31 |
Present value formula, step by step
- Convert the rate to a decimal: 6% = 0.06.
- Raise (1 + r) to the number of years: 1.0612 = 2.0122.
- Divide the future amount by that factor: $25,000 ÷ 2.0122 = $12,424.23.
That matches the calculator's default result. The $12,575.77 gap is the discount: the return you give up by waiting 12 years at 6%.
Frequently asked questions
Is this the same as future value?
Present value is the inverse. Future value grows a sum forward; present value discounts a future sum back to today.
Which rate should I use?
Use a discount rate that matches your goal: an investment opportunity cost, a loan rate, or an inflation assumption. This tool does not pick the rate for you.
Does it include annuity payments?
No. It discounts a single future amount. Recurring cash flows need a separate annuity present-value model.
How do you calculate present value?
Use PV = FV ÷ (1 + r)^t: divide the future amount by one plus the annual rate, raised to the number of years.
What is a calculator for present value used for?
To compare money received at different times, for example a lump sum later versus cash today, or to find how much to set aside now for a future goal.
What discount rate should I use?
The return you could reasonably earn elsewhere with similar risk, or a rate set by your organisation. Higher rates give lower present values.
What is the difference between present value and future value?
Future value grows today's money forward; present value discounts a future amount back to today. They use the same formula in reverse.
What is the formula for present value?
PV = FV ÷ (1 + r)^t. FV is the future amount, r is the annual discount rate as a decimal and t is the number of years.
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