What is present value?
Present value (PV) — sometimes called present discounted value — is the core idea behind the time value of money: a dollar today is worth more than a dollar in the future, because today's dollar can be saved or invested and start earning a return right away. Present value answers a simple question — if I know what I'll receive later, what is that worth right now?
Analysts, lenders, and everyday savers use present value — a form of discounted cash flow analysis — to compare offers that pay out at different times, to price bonds and loans, to evaluate whether an investment or business project is worth pursuing, and to figure out how much a future goal, like a lump-sum retirement payout or a legal settlement, is really worth in today's dollars. For the background on why this matters, see our calculator guides.
Working the problem in the other direction — growing a sum forward instead of discounting it back? Use the Future Value Calculator instead.
The present value formula
For a single future amount, present value is calculated by discounting that amount back over each compounding period:
PV = FV ÷ (1 + i)ⁿ
FV = future value · i = discount rate per period · n = number of periods
When recurring payments are involved — like a series of equal deposits or receipts — the calculator adds the present value of an ordinary annuity:
PV(annuity) = PMT × [1 − (1 + i)⁻ⁿ] ÷ i
PMT = payment per period, made at the end of each period
Not sure what discount rate to use? Try the Interest Rate Calculator to back into a reasonable one from a known present and future value.
Variables explained
- Future valueThe dollar amount you expect to receive or need at the end of the time period.
- Discount rate (per period)Your annual rate divided by the number of compounding periods per year.
- Number of periodsYears multiplied by the compounding frequency — e.g. 10 years of monthly compounding is 120 periods.
- PaymentAn optional recurring amount added each period, discounted using the annuity formula.
How to use this calculator
Enter the future value
Type in the dollar amount you'll receive or need at a specific point in the future.
Set your discount rate
Use an annual rate that reflects a realistic return you could earn elsewhere — a savings rate, bond yield, or expected investment return.
Choose the time period
Enter how many years until that future amount arrives, and pick how often interest compounds.
Add recurring payments if relevant
Toggle on annuity payments if you're also depositing or receiving a fixed amount every period.
Read your result
The present value updates instantly, along with the formula, discount timeline, and a plain-English interpretation.
Practical examples
Retirement lump sum
Structured settlement offer
Present Value vs. Future Value
These two concepts are the same relationship viewed from opposite ends of a timeline. Present value discounts a future amount back to today; future value grows today's amount forward to a later date. You'll reach for whichever one matches the direction your question is actually asking.
| Present Value | Future Value | |
|---|---|---|
| Answers | "What is a future amount worth today?" | "What will today's amount be worth later?" |
| Direction | Discounts backward in time | Compounds forward in time |
| Formula | PV = FV ÷ (1 + i)ⁿ | FV = PV × (1 + i)ⁿ |
| Typical use | Pricing bonds, settlements, pension buyouts | Projecting savings or investment growth |
| Result vs. input | Usually smaller than the future amount | Usually larger than today's amount |
Working the growth direction instead? Use the Future Value Calculator — same underlying math, opposite question.
Present Value vs. Net Present Value
This is the single most common mix-up on this topic, mostly because the names are so close. Present value discounts a future amount to today's dollars — full stop. Net present value (NPV) takes that discounted figure and subtracts an upfront cost, telling you whether an investment is expected to be worth more than it costs.
Why the difference matters
Present value alone would have told you the payout is worth $10,366.05 today — true, but incomplete, since it doesn't say anything about what you had to put in to get it. NPV closes that gap. For deals with an upfront cost, weigh the upfront cost separately using the ROI Calculator instead of stopping at present value.
Present Value vs. Market Value and Intrinsic Value
Present value is a calculation; market value and intrinsic value are conclusions people reach partly by using it. Market value is simply what an asset currently trades for — the price the market agrees on right now, driven by supply, demand, and sentiment as much as math. Intrinsic value is an analyst's estimate of what an asset is really worth, typically built by discounting a whole series of projected future cash flows back to the present — present value math, applied at scale, with growth and risk assumptions layered on top.
In short: present value is one building block. Market value is what the crowd currently pays. Intrinsic value is what a careful analysis, built substantially from present-value calculations, suggests the asset should be worth — which may or may not match the market price.
Real-Life Present Value Scenarios
Present value shows up any time you're deciding what a future amount is worth right now. A few of the most common situations:
Retirement goal planning
You know what you want your nest egg to be worth eventually — present value tells you how much you'd need invested today, in one shot, to get there without further contributions. If you'll be adding to that amount over time instead, the Savings Calculator models the ongoing-deposit version of this same question.
Want $1,000,000 in 30 years at 7%? You'd need about $131,367 invested today.
Legal settlement offers
Settlements are often structured as future payments. Present value lets you compare a delayed payout against an immediate lump-sum offer on equal footing.
A $300,000 payout in 6 years, discounted at 5%, is worth about $223,865 today.
Pension buyout offers
When a pension offers a lump sum instead of monthly payments for life, present value — using the annuity formula — is exactly how that lump sum gets priced.
$24,000 a year for 20 years at 5% has a present value of about $299,093.
Bond and investment valuation
A bond's price is the present value of everything it will pay you — coupons plus the final principal — discounted at the prevailing yield.
A $1,000 face-value bond paying out in 5 years at a 4% yield is worth about $821.93 today.
Business investment decisions
Before committing capital, businesses discount a project's expected payoff back to today and compare it with what the project costs to launch. For a broader portfolio view rather than a single project, the Investment Growth Calculator is the more general tool.
A project returning $50,000 in 3 years at an 8% cost of capital has a present value of $39,691.61 — below a $40,000 upfront cost, so this particular project would actually lose value.
Benefits, limitations, and practical tips
✓ Benefit
Lets you compare payouts that arrive at different times on equal footing, instead of comparing raw dollar figures.
✓ Benefit
Forms the foundation for bond pricing, loan amortization, retirement planning, and business investment decisions.
⚠ Limitation
The result is only as good as the discount rate assumption — a small change in rate can meaningfully shift the answer over long periods.
⚠ Limitation
It assumes a single, constant rate for the entire period and doesn't account for taxes, fees, or inflation unless you build those into the rate.
✗ Common mistake
Mixing an annual rate with a monthly period count without dividing the rate down first — always match the rate and period to the same frequency.
✗ Common mistake
Confusing present value with net present value — PV alone doesn't subtract an upfront cost. Use the ROI Calculator when a project has both an initial cost and future benefits.
★ Practical tip
Run the numbers at a slightly higher and lower rate to see a realistic range, rather than relying on one single estimate.
★ Practical tip
For inflation-adjusted planning, use a real (inflation-adjusted) discount rate instead of a nominal one — our Inflation Calculator can help you convert between the two.
How This Calculator Works
Formula and verification
This tool uses the standard present value formula taught in finance and accounting: PV = FV ÷ (1 + i)ⁿ for a single amount, and the ordinary annuity formula PV = PMT × [1 − (1 + i)⁻ⁿ] ÷ i for recurring payments. Both are textbook time-value-of-money formulas, not a proprietary or estimated model. Every result on this page is computed live in your browser using standard double-precision arithmetic — nothing is looked up from a rounded table.
Checking a result yourself
Every result can be reproduced by hand or in a spreadsheet with the formulas above; the formula breakdown shows the values used.
Assumptions built into the math
- The discount rate you enter is held constant for the entire time period — it does not vary year to year.
- Recurring payments are treated as an ordinary annuity: each payment lands at the end of its period, not the start.
- The inflation-adjustment feature applies your entered inflation rate as a constant annual rate over the full time horizon.
- No taxes, fees, or transaction costs are factored into any result.
Known limitations
The math is exact, but a present value calculation is only as reliable as its inputs. It cannot know your actual future investment returns, cannot price in the risk that a promised future payment doesn't arrive, and treats compounding and inflation as smooth and constant rather than the variable, real-world rates they usually are.
Editorial process and sourcing
This calculator uses the standard textbook formulas shown above. For background on discounting and annuities, see consumer guidance such as that from the Consumer Financial Protection Bureau (CFPB). Our correction policy and sourcing approach are described in our Editorial Policy.
This page is published by the CalcPro. See our About page for more on how CalcPro is run.
Frequently asked questions
What is present value?
Present value (PV) is today's worth of a sum of money or a stream of payments that will be received in the future, calculated by discounting the future amount using an assumed rate of return or interest rate.
What is the present value formula?
PV = FV ÷ (1 + i)ⁿ, where FV is the future value, i is the periodic discount rate, and n is the number of periods. For a series of equal payments (an annuity), PV = PMT × [1 − (1 + i)⁻ⁿ] ÷ i.
Why is present value lower than future value?
Money available today can be invested to earn a return, so it's generally worth more than the same amount received later. Discounting removes that opportunity cost, which is why present value is normally smaller than future value whenever the discount rate is positive.
How do I choose a discount rate?
Use a rate that reflects the return you could reasonably earn elsewhere at similar risk: a savings or bond yield for low-risk cash flows, your expected investment return for personal planning, or your company's cost of capital for business decisions.
What is the difference between present value and net present value?
Present value discounts future cash inflows to today's dollars. Net present value (NPV) goes a step further by subtracting the initial investment or cost from that discounted value, showing whether a project creates value after accounting for what it costs upfront.
Can present value be negative?
The present value of a positive future cash flow is never negative when the discount rate is 0% or higher, since dividing by (1 + i)ⁿ only shrinks the amount. Present value turns negative only in net figures, such as net present value, where an upfront cost outweighs the discounted future benefit.
Does compounding frequency really change the answer?
Yes. More frequent compounding periods, such as monthly instead of annually, apply the discount in smaller steps, which slightly lowers the present value for the same nominal annual rate. The effect is usually modest but can matter over long time horizons or high interest rates.
What is the present value of an annuity?
The present value of an annuity is the current worth of a series of equal, evenly spaced future payments, discounted at a given rate: PV = PMT × [1 − (1 + i)⁻ⁿ] ÷ i. This calculator computes it when you turn on recurring payments. That formula assumes an ordinary annuity, where each payment lands at the end of its period; if payments instead arrive at the start of each period (an annuity due), the present value is slightly higher — multiply the ordinary-annuity result by (1 + i).
What is the present value of $1?
The present value of $1 is simply the discount factor: 1 ÷ (1 + i)ⁿ for a given rate and number of periods. Finance textbooks published present-value-of-$1 tables so people could look up this factor and multiply it by any amount by hand. A calculator like this one replaces the table by computing the exact factor for your specific rate and period, rather than rounding to the nearest table entry.
How accurate is this present value calculator?
The math itself is exact: it uses the standard present value formula and standard double-precision arithmetic, which is far more precise than typical financial needs require. The accuracy of the result for your situation depends entirely on the assumptions you enter — the discount rate, time period, and compounding frequency are estimates you provide, and the calculator can only be as accurate as those inputs are realistic.
Is present value the same as intrinsic value?
No. Present value is a discounting technique — one building block used inside intrinsic value models. In investing, intrinsic value usually refers to a broader estimate of what an asset like a stock is truly worth, built by discounting a whole series of projected future cash flows using assumptions about growth and risk. Present value of a single amount is a simpler calculation that intrinsic-value analysis draws on, not a substitute for it.
How does inflation affect present value?
Inflation erodes purchasing power over time. If you discount using a nominal rate that doesn't account for inflation, the present value you calculate is expressed in future, inflation-affected dollars rather than today's purchasing power. Using a real, inflation-adjusted discount rate instead produces a present value that more accurately reflects what the money is worth in today's terms.
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Further reading: Interest Rate Guide — present value, future value and annualised returns.