Present Value Calculator

Present value is what a future cash flow is worth today, given a discount rate. The formula: PV = FV / (1 + r)^n, where r is the per-period discount rate and n is the number of periods. Higher rates and longer horizons reduce present value sharply.

Enter a future amount, discount rate, and number of periods to see present value. The discount rate represents opportunity cost — what you'd earn instead by deploying that money elsewhere. Common rates: 3 to 5% (low-risk), 8 to 10% (equity-like), 15%+ (venture or distressed).

The formula's logic is the inverse of compound interest. If $1 today grows to $1 × (1+r)^n by year n, then $1 in year n must be worth 1/(1+r)^n today. The discount rate combines time preference (people value present consumption over future) and risk (uncertain future cash flows are worth less). For an annuity (a stream of equal payments), there's a closed-form shortcut: PV = PMT × (1 - (1+r)^-n) / r. For a growing perpetuity (payments growing at rate g forever): PV = PMT / (r - g), defined only when r > g.

A worked example. You're offered a $50,000 lump sum 10 years from now. At a 7 percent discount rate: PV = 50,000 / (1.07)^10 = 50,000 / 1.967 = $25,420. So the offer is worth roughly $25K today. Bump the rate to 12 percent: PV = 50,000 / (1.12)^10 = 50,000 / 3.106 = $16,098. The same future amount is worth a third less because the opportunity cost rose. Compare a stream: $5,000 per year for 10 years at 7 percent. PV = 5,000 × (1 - 1.07^-10) / 0.07 = 5,000 × 7.024 = $35,118. Worth more than the lump sum despite the same nominal sum because earlier payments avoid more discounting.

Limitations and pitfalls. Picking the discount rate is the largest source of error in any DCF analysis. Use your weighted average cost of capital for company decisions and your risk-adjusted opportunity cost personally. Mismatching nominal and real (inflation-adjusted) rates with their corresponding cash flow stream is the second most common error. If your future cash flow includes inflation, use a nominal rate; if it's expressed at present-day prices, use a real rate. Mixing the two understates or overstates PV by the cumulative inflation. Terminal value (cash flows extending past the explicit forecast horizon) often dominates DCFs and depends sensitively on the assumed perpetuity growth rate; small changes in g for a long horizon swing PV by orders of magnitude. For one-off present-value comparisons (lump sum vs payment plan, lottery vs annuity), the calculation is reliable. For multi-decade enterprise valuations, the result is best read as a sensitivity analysis, not a number.