Present Value Calculator

Calculate the present value (PV) of a future sum of money — what an amount you'll receive later is worth in today's dollars, given a discount rate and compounding. Free, instant, fully validated.

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Present Value Calculator

PV = FV ÷ (1 + r)n

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Present Value
Future Value
Total Discount
Discount Factor
Effective Annual Rate
Today's Value vs Future Value

What Is Present Value?

Present value answers a core finance question: how much is money you'll receive in the future worth today? Because a dollar today can be invested to earn a return, a dollar received years from now is worth less than a dollar in hand. The present value formula discounts that future amount back to today using a chosen rate: PV = FV ÷ (1 + r)n, where r is the periodic rate and n is the number of periods.

For example, $10,000 received in 10 years, discounted at 6% compounded monthly, is worth about $5,496 today. The "discount rate" represents your opportunity cost — the return you could earn elsewhere, or the rate of inflation eroding purchasing power. Present value is the foundation of bond pricing, loan analysis, retirement planning, and any decision that compares money across different points in time.

Time Value of Money

Money available now is worth more than the same amount later because it can earn a return. Present value quantifies exactly how much more.

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The Discount Rate

A higher discount rate means future money is worth less today. Use your expected investment return, cost of capital, or inflation rate as the rate.

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PV vs FV

Present value and future value are inverses. Future value compounds money forward; present value discounts it back. This tool also shows the effective annual rate.

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Where It's Used

Bond valuation, lottery lump-sum vs annuity decisions, business investment (NPV), and comparing job offers or settlements paid over time.

Present Value FAQ

PV = FV ÷ (1 + r)n, where FV is the future amount, r is the periodic discount rate, and n is the number of compounding periods. With monthly compounding, r = annual rate ÷ 12 and n = years × 12. This calculator handles the compounding conversion automatically.
Use the rate of return you could realistically earn on the money instead — your opportunity cost. Common choices are your expected investment return (e.g., 6–8%), your cost of borrowing, or the inflation rate if you only want to measure lost purchasing power. A higher rate produces a lower present value.
Because money in hand can be invested to grow, and because inflation erodes purchasing power over time. $1,000 you receive in 20 years simply can't do as much for you as $1,000 today — present value measures that gap precisely using the discount rate and time horizon.
A lottery often offers a smaller lump sum now or larger payments over decades. Computing the present value of the future payments (using a realistic investment rate) lets you compare them on equal footing. Frequently the lump sum, invested wisely, is worth more than the headline annuity total.

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✔ Reviewed by the True Value Calc editorial team🗓 Last updated June 2026📚 Sources: Peer-reviewed formulas & official U.S. government data