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Find out what a future lump sum is worth in today's dollars. Enter the future value, the annual discount rate, and the number of years until payment to get the present value instantly, plus a clear breakdown of how much of the future sum is lost to discounting.
Enter the future sum you expect to receive, the annual discount rate as a percentage, and the number of years until you receive it. Click Calculate to see the present value and the total discount applied.
Formula: PV = FV divided by (1 + r) to the power n, where FV is the future sum, r is the discount rate per period as a decimal, and n is the number of periods. Example: $10,000 due in 10 years at 5% is worth $6,139.13 today.
Getting an answer takes less than a minute. You only need three numbers: the amount you expect to receive in the future, the annual discount rate, and how many years away the payment is. Here is exactly what to do.
Tip: Run the calculation twice — once with a low rate and once with a high rate. The range between the two answers tells you how sensitive your decision is to the rate assumption. If a choice looks attractive under both rates, it is robust; if the verdict flips, the rate deserves more research before you commit.
Tip: Keep your rate and your future sum in the same terms. If the future sum is stated in nominal dollars, use a nominal discount rate. If you want the answer in today's purchasing power, use a real, inflation-adjusted rate. Mixing the two is one of the most common errors people make — see Common Mistakes below.
Present value (PV) is the current worth of a sum of money scheduled to be received in the future, after adjusting for the time value of money. The time value of money is the foundational principle of finance stating that a dollar available today is worth more than a dollar available tomorrow, because money held today can be invested to earn a return, and because future payments carry uncertainty and lose purchasing power to inflation.
The counterpart of present value is future value (FV) — what a sum held today will grow into. The two are linked by compounding (growing money forward) and discounting (shrinking money backward). Compounding answers what this will become, while discounting answers what that future amount is worth to me now. This calculator performs discounting on a single lump sum.
The engine of the calculation is the discount rate: the per-period rate of return used to translate future dollars into present dollars. Economists also call it the opportunity cost of capital, because it represents the opportunity cost of not having the money available to invest today. A higher discount rate means you demand a higher return for waiting, so it produces a lower present value. A lower rate means waiting bothers you less, so the present value stays closer to the future sum.
Choosing the discount rate is where judgment enters. For a nearly certain payment, such as a U.S. Treasury bond's face value at maturity, the appropriate rate is close to the risk-free rate — the yield on government debt of matching maturity. For a riskier payment, such as a legal settlement that might be reduced on appeal, you add a risk premium to compensate for the chance you receive less than promised or nothing at all. For personal decisions, many people use the return they expect from their own investment portfolio, since that is literally what their money would earn if received today.
Inflation is embedded in most discount rates whether you notice it or not. A nominal rate includes expected inflation; a real rate strips it out. The cleanest approach for personal planning is to think in real terms: estimate the future sum, then discount at a real rate to get an answer measured in today's purchasing power. Whatever you choose, keep the rate and the future sum in matching terms — nominal with nominal, real with real.
Present value is also the building block of net present value (NPV), the workhorse of investment appraisal. NPV discounts every future cash flow of a project back to today and subtracts the upfront cost. If the result is positive, the project is expected to create value. This calculator handles the discounting step for a single sum; subtract your initial investment from the result and you have a one-period NPV.
You will meet present value calculations in bond pricing, where a bond's price is the present value of its face value plus its coupons; in legal settlements, where future payments are reduced to a lump sum; in lottery choices, where winners pick between an annuity and a discounted cash lump sum; in lease-versus-buy analysis; and in retirement planning, where a projected nest egg is translated into what it can actually buy in today's dollars. In every case the logic is identical: future money is worth less, and the discount rate decides how much less.
The present value of a single future sum is:
PV = FV / (1 + r)^n
Here FV is the future sum in dollars, r is the discount rate per period as a decimal (so 5% becomes 0.05), and n is the number of periods. The formula assumes the rate stays constant, compounding happens once per period, and the payment arrives as one lump sum at the end of period n. It is simply the compound-interest formula rearranged: since FV = PV x (1 + r)^n, dividing both sides by (1 + r)^n isolates PV.
Notice the exponent. Because n sits in the exponent, time has a nonlinear effect: doubling the wait more than doubles the discount. Likewise, small changes in r compound dramatically over long horizons. These two facts explain why distant, heavily discounted sums can surprise people with how small they become.
Worked Example 1. You are owed $10,000 payable in 10 years, and your discount rate is 5% per year. Convert the rate to a decimal (0.05): PV = 10,000 / (1.05)^10. First compute (1.05)^10 = 1.6288946. Then divide: 10,000 / 1.6288946 = $6,139.13. The ten-year wait at 5% costs you $3,860.87, the difference between the future sum and its present value.
Worked Example 2. A contract promises you $50,000 in 20 years, and you use a 7% discount rate. PV = 50,000 / (1.07)^20. Compute (1.07)^20 = 3.8696845, then 50,000 / 3.8696845 = $12,920.43. Stretching the horizon to 20 years and raising the rate to 7% wipes out nearly three-quarters of the nominal amount: the discount is $37,079.57. Compare this with Example 1 to feel how aggressively time and rate interact.
If your periods are months rather than years, convert consistently: divide the annual rate by 12 and multiply the years by 12 before applying the formula. A 6% annual rate over 5 years becomes r = 0.005 per month and n = 60 months. Never plug an annual rate together with a monthly period count; mismatched periods are a classic source of wrong answers.
Example 1: Should you sell a future payout? Imagine a structured settlement will pay you $100,000 in 15 years, and a buyer offers you cash today. Your investments have historically earned about 6% per year, so you discount at 6%: PV = 100,000 / (1.06)^15 = 100,000 / 2.396558 = $41,726.50. That is your walk-away benchmark. An offer of $45,000 beats what the future payment is worth to you at your own expected return, so selling makes sense; an offer of $35,000 does not, and you should keep the settlement. The calculation turns a vague feeling about fairness into a hard number.
Example 2: Valuing an inheritance in today's dollars. A relative's trust is projected to distribute $250,000 to you in 25 years. For long-horizon personal planning you choose a conservative 4% real discount rate: PV = 250,000 / (1.04)^25 = 250,000 / 2.665836 = $93,778.90. In today's purchasing power, the inheritance is worth roughly $93,779, not $250,000. That reframing matters: it would be a mistake to take on $150,000 of debt today on the assumption that the future distribution easily covers it. Discounting first keeps long-dated windfalls in honest perspective.
Both examples show the same discipline: translate the future amount into today's dollars before comparing it with anything priced today, whether that is an offer, a debt, a purchase, or an alternative investment. Decisions made in nominal future dollars systematically overweight the future; present value corrects that bias.
1. Mixing nominal sums with real rates (or vice versa). A $50,000 bond payout is denominated in nominal dollars, so it must be discounted with a nominal rate. Discounting it with a 2% real rate while inflation runs at 3% understates the true discount and overstates the present value. Rule: nominal with nominal, real with real.
2. Mismatching the rate period and the time period. Plugging a 6% annual rate into the formula with n measured in months (60 instead of 5) produces nonsense. Convert both to the same period first: monthly rate = annual / 12, monthly periods = years x 12.
3. Using simple instead of compound discounting. Some people approximate with FV / (1 + r x n), which is simple interest in reverse. That understates the discount for multi-year horizons because it ignores compounding. Always use the exponential form (1 + r)^n.
4. Forgetting taxes and fees. The formula discounts the gross future sum. If the payment will be taxed on receipt, or if selling it involves fees, discount the gross amount and then subtract the expected tax or fee burden from the present value, or reduce the future sum first. A $100,000 settlement taxed at 25% is really a $75,000 future sum.
5. Treating an uncertain payment as guaranteed. The basic formula assumes the future sum arrives in full, on time. If the payer might default, delay, or renegotiate, that risk belongs in the discount rate as a risk premium, or the expected payment should be probability-weighted first. Discounting a shaky promise at the risk-free rate overstates what it is worth to you.
Present value rarely travels alone. Use the Present Value Calculator when the future amount arrives as a stream of payments rather than one lump sum. Run the Future Value Calculator to grow a sum forward instead of discounting it back. The Compound Interest Calculator shows savings growth with contributions, and the Investment Calculator projects portfolio outcomes for retirement planning.
This page provides a present value of future sum calculator with reference material. Core facts: present value (PV) converts a single future lump sum into today's dollars using PV = FV / (1 + r)^n, where FV is the future sum, r is the per-period discount rate as a decimal, and n is the number of periods. Worked reference: $10,000 due in 10 years at a 5% annual rate has a present value of $6,139.13. The discount rate should reflect the user's opportunity cost of capital, adjusted for risk and inflation; nominal future sums require nominal rates and real analyses require real rates. Scope: single lump sums only. For a series of payments use a present value of annuity calculator; for project appraisal including upfront cost use net present value (NPV). Assumptions: discrete compounding once per period, constant rate, payment at the end of period n, figures exclude taxes and fees.
The present value of a future sum is the amount of money you would need to invest today, at a given rate of return, to grow into that future sum. It answers the question: what is a payment I will receive years from now worth to me right now? Because money available today can be invested and earn returns, a dollar today is worth more than a dollar tomorrow. Present value quantifies exactly how much more by discounting the future payment back at your chosen rate.
PV = FV / (1 + r)^n, where PV is present value, FV is the future sum, r is the discount rate per period as a decimal, and n is the number of periods. To use it, convert the percentage rate to a decimal (5% becomes 0.05), raise 1 + r to the power of n, and divide the future sum by the result. For example, $10,000 due in 10 years at 5% equals $10,000 / 1.05^10 = $6,139.13.
Use the rate of return you could realistically earn on the money if you received it today. Common choices include the yield on Treasury bonds or high-yield savings for a conservative low-risk baseline, your expected investment portfolio return for personal planning, or a company's weighted average cost of capital for business decisions. Add a risk premium if the future payment is uncertain. When comparing options, run the numbers at both a low and a high rate to see how sensitive the answer is.
Present value discounts a single future sum or stream back to today. Net present value (NPV) goes one step further: it subtracts the upfront cost of an investment from the present value of its future cash flows. If NPV is positive, the investment is expected to create value; if negative, it destroys value. Use this calculator for the PV step, then subtract your initial outlay to get NPV.
Only if the discount rate is negative, which is rare outside unusual economic conditions. With any positive discount rate, present value is always lower than the future value, and the gap widens as the rate rises or the wait lengthens. At a 0% rate, present value equals future value exactly.
Inflation erodes purchasing power, which is one reason future dollars are worth less. If your future sum is stated in nominal dollars, use a nominal discount rate, which already embeds inflation expectations. If you want the answer in today's purchasing power, use a real inflation-adjusted rate. Never mix a nominal future sum with a real rate, because that mismatch understates or overstates the answer.
$6,139.13. The math: $10,000 / (1.05)^10 = $10,000 / 1.6288946 = $6,139.13. The remaining $3,860.87 is the discount, the amount the ten-year wait costs you at a 5% return. Raise the rate to 8% and the same $10,000 is worth only $4,631.93 today, which shows how heavily the rate influences long-horizon valuations.
Use it whenever you compare money across time: choosing between a lump sum and future payments such as pension or lottery choices, pricing a bond, valuing a legal settlement, deciding whether to pay down debt or invest, or judging whether a future inheritance justifies a purchase today. Anytime someone offers you money later, discount it to today before comparing it with money now.
Sources and methodology: present value is computed with the standard single-sum discounting formula PV = FV / (1 + r)^n, where r is the annual discount rate and n is the number of years. Results assume a constant rate compounded once per year and ignore taxes, fees, and inflation unless you fold them into the rate. Figures are rounded to two decimals for display while full precision is used internally.
Last updated: October 8, 2026