Present Value of a Lump Sum Calculator

Discount a future sum back to today's value.

How it is calculated

The tool discounts one future amount back to today with annual compounding: PV = FV ÷ (1 + rate ÷ 100)years. FV is the amount you will receive in dollars, the rate is the yearly discount rate as a percentage (5 means 5%), and years is the waiting time, which may be fractional such as 2.5. It also shows the discount amount, FV − PV. The future value and years cannot be negative, and the rate must be above −100%. A rate of 0 or a wait of 0 years returns the future amount unchanged, and a negative rate gives a present value larger than the future amount. There is one payment only; for a stream of equal payments an annuity formula is needed.

Worked example

You are promised 50,000 in 10 years and use a 5% discount rate. The growth factor is 1.0510, about 1.6289. Dividing, 50,000 ÷ 1.6289 gives the present value. The tool prints $30,695.66. The discount amount is 50,000 − 30,695.66 = $19,304.34, which is how much value the ten-year wait costs at that rate.

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Common mistakes

  • Typing the rate as a decimal. Enter 5 for 5%; entering 0.05 treats it as 0.05% and gives a present value barely below the future amount.
  • Choosing an unrealistic discount rate. The answer is very sensitive to it, so a figure like 3% and one like 8% over 20 years produce very different present values.
  • Entering months in the years field. A 6-month wait is 0.5 years, not 6.
  • Using the tool for several payments. It values a single lump sum, so adding up several future payments each at their own year is needed, or an annuity tool for equal ones.
  • Forgetting that the discount rate is not the same as inflation or an interest rate you earn. Pick the rate that matches the risk and the alternative use of the money.

About this calculator

The present value of a lump sum answers a core question in finance: what is a single future payment worth in today's money? The formula, PV = FV / (1 + r)^n, discounts a future amount (FV) back to the present using a discount rate (r) over a number of periods (n) — reflecting the simple fact that money available today is worth more than the same amount received years from now, because today's money can be invested and grow in the meantime.

This calculation underlies capital budgeting decisions, bond and annuity pricing, lawsuit settlement structuring, and comparing lottery jackpot options (lump sum versus payments over time). This calculator takes a future amount, a discount rate, and a number of periods and returns what that future sum is worth right now.

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