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Discounting a future sum to today’s dollars takes four inputs and about twenty seconds with the calculator above. Enter the future value — the amount you expect to receive (or pay) later, such as a $20,000 bond maturity, a $500,000 retirement balance, or a court settlement paid in installments. Then enter the annual discount rate as a percentage: the return you could earn on money today, your cost of capital, or the inflation rate you want to strip out.
Next, enter the number of years until the money arrives, using decimals for partial years (2.5 for thirty months). Finally, choose the compounding frequency — how often interest compounds each year. Annual is standard for long-horizon planning; quarterly matches most bonds; monthly matches mortgages and car loans; daily is the most precise. Press “Calculate Present Value” to see the present value (what the future sum is worth today), the total discount (future value minus present value — the “cost of waiting”), and a note on how compounding frequency affected the result.
Interpret the output as a decision threshold: if someone offers you the present-value amount today or the future amount later, the two are economically equivalent at your chosen discount rate. Offered less than the present value today? Take the future payment. Offered more? Take the cash now. The right discount rate is the crux — use your expected investment return for opportunity-cost decisions, a risk-free rate for conservative valuation, or inflation for purchasing-power comparisons.
Present value (PV) is the current worth of a future sum of money, discounted at a given rate of return. It formalizes the intuition behind the time value of money: a dollar today is worth more than a dollar tomorrow, because today’s dollar can be invested and grown. At a 6% annual return, $1,000 today becomes $1,060 in a year — so $1,060 received a year from now is worth exactly $1,000 today.
Three core concepts underpin present value. Discounting is the reverse of compounding: where compounding grows today’s money forward, discounting shrinks future money backward. The discount rate is the engine of the calculation — a higher rate means future money is worth less today, because the hurdle for waiting is steeper. Compounding frequency determines how often growth is applied within each year; more frequent compounding makes future sums slightly less valuable today, because the alternative (investing now) grows slightly faster.
Present value is the foundation of modern finance. Net present value (NPV) — the sum of a project’s discounted cash flows minus its upfront cost — is the standard rule for capital budgeting: positive NPV means invest. Bond pricing is pure present value: a bond’s price is the PV of its coupon payments plus the PV of its face value. Loan amortization works in reverse: your monthly payment is set so the PV of all payments equals the amount borrowed. Pension funds, insurance reserves, lottery lump sums, legal settlements, and lease-vs-buy analyses all run on present-value math.
The choice of discount rate deserves care because small changes move the answer a lot. Common choices include your opportunity cost (what your money would otherwise earn — perhaps 7–10% for equity investors), your weighted average cost of capital (WACC) for business decisions, a risk-free rate (US Treasury yields, recently 4–5%) for conservative or guaranteed cash flows, and the inflation rate (~2–3% long-run) when you want purchasing power rather than nominal dollars. For risky cash flows, add a risk premium: discounting a startup’s promised $1M at 25% rather than 6% reflects the real chance it never arrives.
Present value also reveals the erosion of inflation. At 3% annual inflation, $100,000 received in 20 years has a present purchasing power of only $100,000 ÷ (1.03)^20 = $55,368 — nearly half its nominal value evaporates. This is why retirement planning in “today’s dollars” (discounting at inflation) is often more illuminating than staring at large nominal future balances.
The calculator uses the standard discrete-compounding present value formula:
PV = FV ÷ (1 + r/f)^(f×t)
Where FV is the future value, r is the annual discount rate (as a decimal), f is the number of compounding periods per year (1 = annual, 4 = quarterly, 12 = monthly, 365 = daily), and t is the number of years. The total discount — the amount “lost” to waiting — is simply FV − PV. With continuous compounding, the formula becomes PV = FV ÷ e^(r×t), which this calculator approximates with daily compounding.
Worked example 1. What is $20,000 received in 10 years worth today at a 6% discount rate compounded annually? PV = 20,000 ÷ (1 + 0.06/1)^(1×10) = 20,000 ÷ (1.06)^10 = 20,000 ÷ 1.7908477 = $11,167.90. Total discount = $20,000 − $11,167.90 = $8,832.10. This matches the calculator’s default output: waiting ten years at 6% erases nearly 44% of the money’s current value.
Worked example 2. What is $50,000 received in 5 years worth today at 8% compounded quarterly? First compute the periodic rate: 0.08 ÷ 4 = 0.02, and the number of periods: 4 × 5 = 20. PV = 50,000 ÷ (1.02)^20 = 50,000 ÷ 1.4859474 = $33,648.57. Total discount = $50,000 − $33,648.57 = $16,351.43. Notice that quarterly compounding (f = 4) gives a slightly lower present value than annual compounding would ($34,029.16) — more frequent compounding means money today grows faster, so future money is worth less.
The formula’s sensitivities are dramatic over long horizons. Doubling the discount rate from 5% to 10% cuts the 30-year present value of $100,000 from $23,138 to $5,730 — a 75% collapse. Extending the horizon has a similar effect: at 7%, $100,000 due in 10 years is worth $50,835, but due in 30 years only $13,137. This exponential decay is why distant promises (pensions, inheritances, lottery annuities) are worth far less than their headline numbers suggest.
Elena wins a $1,000,000 lottery prize with two payout options: $600,000 cash today, or $50,000 per year for 20 years. The annuity’s headline total is $1,000,000 — but what is it worth in today’s dollars? Using a 5% discount rate (her expected investment return) compounded annually, the present value of a 20-year $50,000 annuity is $50,000 × [1 − (1.05)^(−20)] ÷ 0.05 = $50,000 × 12.4622 = $623,111.
The annuity’s present value ($623,111) exceeds the lump sum ($600,000), so the annuity is the better deal if she can actually earn 5% and the payments are guaranteed. But the margin is thin — at a 6% discount rate, the annuity’s PV falls to $50,000 × 11.4699 = $573,496, making the lump sum superior. And taxes complicate everything: lump sums are often taxed more favorably in practice, while annuities spread tax liability. Elena’s real decision hinges on her personal discount rate — a disciplined investor confident of 7%+ returns should take the $600,000; someone who would leave it in a 4% savings account should take the annuity. The calculator turns a $400,000 headline gap into a precise, personalized comparison.
Marcus has $100,000 to invest and two options. Option A pays $140,000 in a single lump sum after 5 years. Option B pays $25,000 at the end of each year for 5 years ($125,000 total). The totals favor A ($140,000 vs $125,000) — but Marcus’s cost of capital is 8%, and money sooner is worth more.
Option A: PV = 140,000 ÷ (1.08)^5 = 140,000 ÷ 1.4693281 = $95,281.62. Option B: PV = 25,000 × [1 − (1.08)^(−5)] ÷ 0.08 = 25,000 × 3.99271 = $99,817.75. At 8%, Option B wins despite its lower headline total, because its early payments dodge four years of discounting. Subtract the $100,000 cost and both have slightly negative NPV (−$4,718 and −$182) — Marcus should arguably reject both at an 8% hurdle, or negotiate better terms. This is exactly how corporate finance teams rank projects: not by total cash, but by present value against the cost of capital. A two-minute calculation saved Marcus from choosing the worse investment.
1. Using the wrong discount rate. The single biggest error. Discounting at 3% when your real opportunity cost is 9% massively overstates present value and makes bad deals look good. Match the rate to the decision: investment returns for opportunity cost, WACC for corporate projects, inflation for purchasing power.
2. Ignoring compounding frequency. Annual vs monthly compounding changes results by 1–3% over long horizons — small per year, meaningful over decades. Match the frequency to the real-world instrument: mortgages compound monthly, most bonds semi-annually, savings accounts daily.
3. Forgetting taxes and fees. A $100,000 future payment taxed at 25% is really a $75,000 payment — discount the after-tax amount. Similarly, investment returns quoted gross of fees overstate your true discount rate; use net-of-fee returns.
4. Comparing nominal dollars across time. “$1 million in 30 years” sounds life-changing until discounting at 3% inflation reveals it buys what $412,000 buys today. Always convert to today’s dollars before judging whether a future sum meets your goals.
5. Treating uncertain cash flows as certain. Present value math assumes the future payment actually arrives. A startup’s promised $500,000 in five years is not worth the same as a Treasury’s $500,000 — add a risk premium to the discount rate (often 5–20 extra points for speculative ventures) or the “present value” is fiction.
Present value is one direction of the time-value-of-money coin. Our Compound Interest Calculator runs the math forward — growing today’s savings into future wealth. Our Investment Calculator projects portfolios with regular contributions. Browse the full Financial Calculators collection for 80+ free tools covering future value, annuities, loans, and retirement planning.
This page provides a present value calculator computing: PV = FV ÷ (1 + r/f)^(f×t), where FV = future value, r = annual discount rate (decimal), f = compounding periods per year (1, 2, 4, 12, 52, 365), t = years; total_discount = FV − PV. Canonical facts: present value is the current worth of a future sum discounted at a given rate; higher discount rates, longer horizons, and more frequent compounding all reduce present value; PV is the basis of NPV, bond pricing, and loan amortization; common discount rates include opportunity cost (7–10%), WACC, risk-free Treasury yields (4–5%), and inflation (2–3%); continuous compounding PV = FV ÷ e^(r×t). Educational estimates only — not financial advice.
Cite this page: Sigma Calculator. “Present Value Calculator.” https://sigmacalculator.net/financial-calculators/present-value-calculator/. Accessed October 7, 2026.
Formula: PV = FV ÷ (1 + r/f)^(f×t), where r = annual rate, f = compounding periods per year, t = years. Example: $20,000 in 10 years at 6% compounded annually → $11,167.90 today.
About $11,167.90 with annual compounding — the $8,832.10 difference is the time value of money. Try the present value calculator above.
Comparing money at different times: valuing investments, lottery payouts, legal settlements and retirement needs in today’s dollars.
More frequent compounding discounts slightly harder — monthly compounding gives a marginally lower present value than annual at the same rate.
Use your expected return elsewhere (opportunity cost) — e.g. 6–8% for long-term investing, or the inflation rate to see real purchasing power.
Future value grows money forward with interest; present value discounts it backward. They are the same formula solved in opposite directions.
The present value of an annuity is the lump sum today equal to a series of future payments: Payment × [1 − (1 + r)^−n] ÷ r. For example, $1,000 received yearly for 10 years at 6% is worth $7,360.09 today. See our Annuity Calculator for full annuity math with payment timing options.
Yes — enter the inflation rate as the annual rate to convert a future sum into today’s purchasing power. For example, $100,000 received in 20 years at 3% inflation is worth only about $55,368 in today’s dollars. For year-by-year inflation math, see our Inflation Calculator.
A higher discount rate means money invested today grows faster, so waiting costs more. For example, $10,000 due in 20 years is worth $3,768.89 at a 5% rate but only $1,486.44 at 10%. The rate should reflect your opportunity cost — choose it carefully.
Last updated: October 8, 2026.