Present Value Calculator
Discount a future cash amount back to today's value using PV = FV / (1 + r)ᵗ. The foundation of every cash-flow valuation in finance — bonds, equities, projects, real estate, insurance, and any decision that trades current money against future money.
Last updated: May 2026
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About this calculator
Present value (PV) is what a future cash amount is worth today, given a chosen discount rate. The formula is PV = FV / (1 + r/100)ᵗ, where FV is the future value (the amount to be received at time t), r is the per-period discount rate as a percentage, and t is the number of periods until receipt. Discounting reflects the time value of money: $1,000 in 10 years is worth less than $1,000 today because today's dollar could be invested and grow. The choice of discount rate r is the most consequential modelling decision: it should reflect the opportunity cost of capital (what return you could earn on an alternative investment of comparable risk), the rate of inflation if you want real (not nominal) value, and a risk premium for uncertainty. Common reference points: government bond yields for low-risk projects, weighted-average cost of capital (WACC) for corporate projects, target IRR for venture investments. Variables: futureValue can be any real number; discountRate ≥ 0 (negative rates are mathematically valid and economically meaningful in deflationary contexts); periods ≥ 0. Edge cases: r = 0 gives PV = FV (no discounting); t = 0 gives PV = FV (the cash is received today); very large t with r > 0 makes PV approach zero (distant cash flows are nearly worthless at any positive discount rate). This calculator handles a single lump-sum future value; for streams of future cash flows you sum the PV of each individual flow, which is exactly what NPV (net present value), bond pricing, and DCF (discounted cash flow) valuations do. The reverse operation is future value: FV = PV · (1 + r/100)ᵗ.
How to use
Example 1 — Bond pricing. A zero-coupon bond pays $15,000 in 5 years; your required rate of return is 8%. Enter Future Value = 15000, Discount Rate = 8, Periods = 5. PV = 15000 / (1.08)⁵ = 15000 / 1.46933 ≈ $10,209.39. ✓ This is the maximum you should pay today for the bond to earn an 8% annual return. If the market is selling it cheaper, you get above-required return; more expensive, below. Example 2 — Inheritance planning. Your aunt will leave you $50,000 in 20 years. At a 5% annual discount rate, what is that worth today? Enter Future Value = 50000, Discount Rate = 5, Periods = 20. PV = 50000 / (1.05)²⁰ = 50000 / 2.65330 ≈ $18,844.45. ✓ The promised $50,000 in 20 years has the same purchasing power as about $18,800 today — useful to know when comparing it against alternatives like life insurance settlements, annuities, or early lump-sum offers.
Frequently asked questions
Why does future money have to be discounted?
Three independent reasons combine to make future money worth less than present money. (1) Opportunity cost: today's dollar can be invested and grow, so $1 today is mathematically equivalent to (1 + r) dollars one year from now if you can earn rate r. Locking in a future amount means giving up that growth. (2) Inflation: prices generally rise over time, so the same nominal dollar amount buys less in the future. Even with zero risk and no opportunity cost, the purchasing power erodes. (3) Risk and uncertainty: you might not actually receive the promised future amount — companies go bankrupt, contracts get broken, conditions change. The further out the cash flow, the higher the cumulative probability that something goes wrong. The discount rate combines all three effects into a single number; different rates are appropriate for different contexts (risk-free Treasury yields for low-risk flows, WACC for corporate projects, hurdle rates for venture investments).
How do I choose the right discount rate?
There is no single correct answer — the discount rate should reflect the opportunity cost of capital for that specific cash flow. Common benchmarks: (1) risk-free rate (e.g., 10-year Treasury yield, ~4–5% in 2025) for cash flows with very low default risk. (2) Cost of capital, like WACC, for typical corporate capital-budgeting (often 8–12%). (3) Required return for the specific investor or project (venture capital might use 25–40%, private equity 15–25%, public equities ~7–10% real). (4) Personal opportunity cost — what you could otherwise earn (your current investment yield, your debt interest rate if borrowing). Higher rate means more aggressive discounting, lower present value. Sensitivity analysis (computing PV at e.g. 6%, 8%, 10%) is more useful than picking a single rate, because PV is highly sensitive to the rate especially over long horizons.
What is the difference between PV and NPV?
Present value (PV) is the discounted value of a single future cash amount. Net present value (NPV) is the sum of discounted present values of all cash flows associated with a project, including the initial investment (typically negative) and all future expected cash inflows (positive). NPV = -I + Σ(CFₜ / (1 + r)ᵗ), summed over all periods. A positive NPV means the project creates value above the cost of capital (you should accept it); negative means it destroys value (reject); zero means it exactly meets the hurdle rate. NPV is the gold standard for capital-budgeting decisions because it accounts for all cash flows, properly discounts each, and gives a clear accept/reject signal. This calculator handles only single-flow PV; for multi-flow NPV use a dedicated NPV calculator or a spreadsheet.
What are the most common mistakes people make with present value?
The first is using a discount rate inconsistent with the cash flow's risk — using a 3% Treasury rate to discount risky equity cash flows is a classic error that inflates PV dramatically. The second is mixing nominal and real values: if the future cash flow is in nominal dollars (uncorrected for inflation), use a nominal discount rate; if real (purchasing-power adjusted), use a real rate. Mixing the two double-counts or undercounts inflation. The third is forgetting that PV is exquisitely sensitive to the discount rate — at long horizons (20+ years), a 1% change in rate can change PV by 20%+. The fourth is using the wrong time unit: if the rate is annual, t must be in years (not months); inconsistency produces wildly wrong answers. The fifth is treating PV as a complete decision criterion when it only captures a single cash flow — for projects with multiple flows you need NPV; for risk you need scenarios or simulations.
When should I not use this calculator?
Skip it for streams of multiple future cash flows; use an NPV (net present value) calculator that sums the PV of each individual flow. Do not use it for annuities or perpetuities — both have closed-form formulas that are more convenient (PV of perpetuity = C/r, PV of growing perpetuity = C/(r − g), PV of annuity = C · [1 − (1 + r)^(-n)] / r). It is the wrong tool for bond pricing with multiple coupons (use a bond-pricing calculator that accounts for coupon payments and face value). Avoid it for cash flows with embedded options (callable bonds, convertible securities, real options); those need binomial trees or Monte Carlo. Do not use it without thinking carefully about the appropriate discount rate; PV is so sensitive to r that using a wrong rate can flip an investment recommendation. For symbolic algebra (solve for r or t given PV and FV) use a CAS or a specialised solver — this calculator only computes PV given the three inputs.