Present Value Calculator
A dollar today and a dollar next year are not the same dollar. Find out exactly what tomorrow's money is worth in today's terms — no crystal ball required.
Your present value will appear here.
What is present value, and why does it matter?
Present value answers a question that sounds simple but drives an enormous amount of finance: what is money I'll receive later actually worth to me right now? The short answer is less than its face value, and the reason is opportunity. A dollar in your hand today can be invested, so it can grow into more than a dollar by the time that future payment would have arrived. A dollar you're merely promised for later hasn't had that chance yet.
This isn't just an academic exercise. Present value is the math underneath mortgages, bond pricing, lottery lump-sum offers, legal settlements, business valuations, and any decision that compares money now against money later. Anytime someone offers you "$50,000 today or $5,000 a year for fifteen years," present value is exactly the tool that tells you which one is actually the better deal.
The present value formulas behind this calculator
A single future amount: PV = FV ÷ (1 + i)ⁿ
Here, FV is the future amount, i is the interest rate per period expressed as a decimal, and n is the number of periods between now and when that amount arrives. As the rate or the number of periods goes up, the present value goes down, since either one means today's dollar has more time or more power to grow into that same future number.
A series of equal payments: PV = PMT × [1 − (1 + i)⁻ⁿ] ÷ i
For payments made at the start of each period instead of the end, multiply that result by (1 + i) once more — this is the annuity due version, and it always produces a slightly higher present value, since every payment is one period closer to today than its ordinary-annuity counterpart.
Worked example: what is $1,000 in 5 years really worth?
Say you're promised $1,000 in exactly 5 years, and you could otherwise earn 10% annually on your money elsewhere. Using the formula: PV = $1,000 ÷ (1.10)⁵ = $620.92. That means $620.92 invested today at 10% would grow into exactly $1,000 in 5 years — so unless the $1,000 offer comes with something the calculator can't measure, like guaranteed safety a risky 10% alternative doesn't have, $620.92 is the fair, apples-to-apples price of that future promise. Try this exact example using the first quick-scenario chip above.
Present value vs. future value: same coin, opposite side
Present value and future value are really the same relationship, just read in opposite directions along the same timeline. Future value starts with money today and asks what it grows into later. Present value starts with a number later and asks what it's worth now. If you're building up regular contributions and want to know what they'll amount to, the future value of annuity calculator runs that side of the math, complete with support for mismatched compounding and payment schedules — useful once you've used this calculator to figure out what you're aiming for.
Using present value on a lottery, settlement, or annuity payout
One of the most common places people reach for a present value calculation is comparing a lump sum against a stream of payments — a lottery jackpot, a structured legal settlement, or an annuity that's already paying out. In every one of these cases, a series of future payments is worth less today than its total face value suggests, because the later payments haven't had time to compound yet. If you're on the other side of that comparison and want to know what a payout stream you already hold could realistically pay you, the annuity payout calculator is built for exactly that question, working alongside this calculator's present-value math rather than against it.
Choosing a discount rate without overthinking it
The interest rate you plug in isn't pulled from thin air — it should reflect what you could realistically earn on a comparable alternative. Comparing against a savings account or bond calls for a conservative rate. Comparing against a riskier opportunity, like stocks or a business investment, calls for a higher rate to fairly account for that added uncertainty. There's rarely one "correct" rate, so it's worth running the calculator with a low, a middle, and a high estimate to see the realistic range of your answer rather than anchoring on a single number.
Present Value Calculator FAQs
What is present value, in plain English?
Present value is what a future sum of money is actually worth today, once you account for the fact that money now can be invested and grow, while money later can't start growing until it arrives. A dollar promised to you in ten years is worth less than a dollar in your hand today, and present value puts an exact number on that gap.
What's the formula for present value?
For a single future amount, PV = FV ÷ (1 + i)ⁿ, where FV is the future amount, i is the interest rate per period, and n is the number of periods. For a series of equal payments, PV = PMT × [1 − (1 + i)⁻ⁿ] ÷ i, multiplied by (1 + i) again if payments happen at the start of each period instead of the end.
Why does present value go down as the interest rate goes up?
A higher rate means money grows faster, so it takes a smaller amount today to reach the same future target. Put another way, at a high rate, today's dollar is working harder for you, so you need fewer of them upfront. That's why raising the discount rate always pulls present value down, all else equal.
What's the difference between present value and future value?
They're the same relationship viewed from opposite ends of the timeline. Future value asks what today's money grows into by a later date. Present value asks what a later amount is worth today. If you already know how to project money forward, the future value of annuity calculator handles that direction, while this calculator runs the math backward.
Should I use ordinary annuity or annuity due for my calculation?
Use ordinary annuity if payments land at the end of each period, which covers most loans, bonds, and typical savings withdrawals. Use annuity due if payments land at the start of each period, which is how rent, insurance premiums, and lease payments usually work. Annuity due always produces a slightly higher present value, since each payment is one period closer to today.
How is present value used to judge whether an investment is worth it?
Bring every future cash flow the investment produces back to today's dollars using present value, add them all up, then subtract what you'd have to pay now to get in. A positive number after that subtraction generally signals a worthwhile deal at your chosen rate; a negative number suggests you'd come out behind compared to just earning that rate elsewhere.
What interest rate should I use in a present value calculation?
Use the rate of return you could realistically earn elsewhere on money with similar risk, sometimes called a discount rate. A safer, lower-risk comparison calls for a lower rate; a riskier alternative usually calls for a higher one to fairly reflect the extra uncertainty you're taking on by waiting for the money instead of having it now.
Can present value be used for a lottery payout or settlement?
Yes, this is one of the most common real-world uses. A lottery jackpot or legal settlement structured as payments over many years is worth less in present-value terms than the same total paid as one lump sum today, because you lose the years of compounding on the money still to come. If you're comparing a lump sum offer against a payment stream you already have, the annuity payout calculator can help size up the payment side of that comparison.
This tool is for educational purposes only. Always verify important results with a qualified professional.
