Present Value Calculator
Calculate the present value of a future sum of money. Determine how much a future amount is worth today given a specific discount rate.
A present value calculator answers one of the most fundamental questions in finance: what is a future dollar worth today? The core formula is simple — PV = FV / (1 + r)^n — but the idea behind it, the time value of money, underpins virtually every serious financial decision. A dollar in your hand today can be invested, earn a return, and become more than a dollar next year. So any future cash flow must be "discounted" back to today's dollars before we can compare it fairly to money we already have.
This free present value calculator lets you plug in any future sum, a discount rate, and a time horizon, and it instantly returns both the present value and the total amount of discount applied. It's the workhorse behind net present value (NPV) analysis in corporate finance, pension lump-sum vs. lifetime-payment decisions, bond pricing, lottery payout comparisons, and personal planning questions like "is this structured settlement offer fair?"
The trickiest part is choosing the right discount rate. For a risk-free comparison, use the current yield on US Treasuries of matching duration. For a corporate project, use the company's weighted average cost of capital (WACC), typically 8–12%. For personal investing, many use their expected long-run portfolio return, around 6–7% real. A higher discount rate produces a smaller present value, which means more-aggressive assumptions make future money look less valuable today. Inflation works the same direction: if you expect 3% inflation, even a nominally "safe" future dollar loses purchasing power, so your discount rate should reflect that erosion. This tool is educational only and does not constitute financial advice — for major decisions consult a qualified planner.
Quick answer: Present value uses PV = FV / (1 + r)^t. $50,000 arriving 10 years from now, discounted at 6%, is worth about $27,920 today — a discount factor of 0.558. This present value calculator shows the fair-today price of any future cash flow at your chosen discount rate and horizon.
Inputs
Quick presetsThe dollar amount arriving at a future date — a balloon payment, bond face value, pension lump sum, or inheritance.
Annual rate matching the cash flow's risk: Treasury yield for risk-free, WACC for corporate, expected portfolio return for personal.
How far in the future the cash flow arrives. Longer horizons discount aggressively — 30 years at 7% collapses to ~13 cents per dollar.
Results
How to use this calculator
Three inputs drive the math. **Future value** is the dollar amount you'll receive (or pay) at some point down the road — a balloon payment, a bond's face value, a pension lump sum, or an inheritance. **Discount rate** is the annual return you could otherwise earn on the money, expressed as a percentage. Pick a rate that matches the risk of the cash flow: Treasury yield for near-risk-free, WACC for business projects, expected portfolio return for personal finance.
**Number of years** is how far in the future the cash flow arrives. Longer horizons compound the discount aggressively — a dollar in 30 years at 7% is worth only about 13 cents today. After you click Calculate, the output shows three numbers: the present value itself, the total discount (future value minus present value), and the raw discount factor you can apply to other cash flows of the same horizon. Run multiple scenarios with different rates to see how sensitive the answer is to your assumption, which is often the most important takeaway.
Worked examples
Evaluating a lottery lump-sum offer
Maria wins a $1,000,000 lottery paid as $50,000/year for 20 years, or a $600,000 lump sum today. Is the lump sum fair? Using a 6% discount rate (roughly what she could earn in a diversified portfolio), the present value of a single $50,000 payment 20 years out is only about $15,590. Running all 20 payments through an annuity-style PV calculation yields around $573,500. The $600,000 lump sum beats the 20-year stream by roughly $26,500 in today's dollars — though taxes, her investing discipline, and longevity risk all matter too.
NPV on a small-business equipment purchase
A coffee roaster is considering a $40,000 espresso machine that will generate $12,000/year in additional profit for 5 years. At a 10% WACC, each year's cash flow must be discounted: year 1 = $10,909, year 2 = $9,917, year 3 = $9,016, year 4 = $8,196, year 5 = $7,451. Summed present value = $45,489. Subtracting the $40,000 upfront cost gives NPV = $5,489. Positive NPV means the project clears the required return, so it's financially worthwhile — though strategic fit still matters.
Ethan, pricing a pension buyout offer
Ethan's former employer offers a $185,000 lump sum today to cancel a future pension of $500,000 payable as a single bullet at age 70 — 25 years away. Using a 5% discount rate (roughly a long Treasury plus a small credit spread), PV = $500,000 / (1.05)^25 ≈ $147,700. The $185,000 lump sum exceeds PV by about $37,300, so mathematically the buyout is generous versus a risk-free benchmark. If Ethan instead believes he can earn 7% on the proceeds, PV drops to ~$92,100 and the offer looks even better — but he also shoulders reinvestment and longevity risk the pension was absorbing.
Frequently asked questions
What's the present value formula?
PV = FV / (1 + r)^n, where FV is the future amount, r is the discount rate per period, and n is the number of periods. For multiple cash flows, sum each one's PV separately. That sum, minus any upfront cost, is the net present value (NPV).
Why is a future dollar worth less than today's dollar?
Three reasons. First, opportunity cost — today's dollar can be invested and grow. Second, inflation — prices rise, so the same nominal dollar buys less later. Third, risk — future cash flows might not arrive at all (default, bankruptcy, policy change). The discount rate bundles all three into a single number.
What discount rate should I use?
Match the rate to the risk of the cash flow. Risk-free: current Treasury yield of the same maturity (3–5% in typical environments). Corporate project: the firm's WACC, usually 8–12%. Personal finance: your expected portfolio return, around 6–7% real. A higher rate produces a smaller present value.
How does inflation affect present value?
Inflation reduces the purchasing power of future dollars, so it should be embedded in your discount rate. If you use a nominal rate (say 7%), it already includes expected inflation (say 3%) plus a real return (4%). Using a nominal rate with nominal cash flows keeps the math consistent; mixing real and nominal is a common mistake.
What is NPV and how does it differ from PV?
Present value (PV) discounts a single future cash flow. Net present value (NPV) sums the PVs of multiple future cash flows and subtracts the initial investment. NPV > 0 means a project earns more than the discount rate; NPV < 0 means it doesn't. NPV is the gold standard for capital-budgeting decisions.
Lottery lump sum or annuity — which should I take?
Compute the PV of the annuity stream at a discount rate that reflects what you could realistically earn, then compare to the lump sum (which is typically 50–60% of the advertised jackpot after taxes). Lump sums often win on math, but only if you actually invest the proceeds; the annuity is a forced-savings mechanism for many winners.
Does this calculator handle uneven cash flows?
No — this tool discounts a single future value. For a stream of equal payments, use the annuity calculator. For uneven cash flows like a real-estate deal or a startup projection, you'll need to PV each year separately and sum them, typically in a spreadsheet.
Is present value pre-tax or post-tax?
Whatever you put in. If your future value is pre-tax and your discount rate is a pre-tax return, the PV is pre-tax. For apples-to-apples comparisons (e.g., traditional vs. Roth, taxable vs. tax-deferred), convert everything to after-tax dollars and use an after-tax discount rate.