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Present Value Calculator

Discounts a future amount and an optional annual cash flow stream back to what they are worth in today's money.

Present value
$41,726.51
PV of lump sum
$41,726.51
PV of cash flows
$0.00
Discount factor
0.4173

How to use the Present Value Calculator

  1. Enter the future lump sum you expect to receive.
  2. Add a recurring annual cash flow if the payoff arrives as a stream.
  3. Enter a discount rate reflecting your opportunity cost or required return.
  4. Enter the number of years, then read the combined present value.

How the calculation works

Discounting is compounding in reverse: a dollar arriving in year n is worth 1/(1+r)ⁿ today because that is what you would need to invest now to end up with it. The discount rate is therefore an opportunity cost, not a prediction.

Rate choice dominates the answer at long horizons. At 20 years, moving from 5% to 8% cuts present value by nearly 45%, which is why valuation disputes are usually arguments about the discount rate rather than about the cash flows.

For a lottery lump-sum-versus-annuity decision or a structured settlement offer, use the after-tax return you could realistically earn as the discount rate. Using an aspirational rate makes the lump sum look artificially attractive.

Formula
PV = FV ÷ (1 + r)ⁿ + PMT × [1 − (1 + r)⁻ⁿ] ÷ r

Source: Brealey, Myers & Allen, Principles of Corporate Finance, discounted cash flow chapter.

Worked example

$100,000 due in 15 years at a 6% discount rate.

  1. The discount factor is 1 ÷ 1.06¹⁵ ≈ 0.4173.
  2. $100,000 × 0.4173 ≈ $41,730.

Worth about $41,730 today — so any offer above that beats waiting, at a 6% opportunity cost.

Frequently asked questions

What discount rate should I use?+

Your realistic alternative return. Households often use 4–6%; companies use their weighted average cost of capital.

Should I adjust for inflation?+

Either discount nominal cash flows at a nominal rate or real cash flows at a real rate — never mix the two.

Take the lottery lump sum or annuity?+

Compare the lump sum against the annuity's present value at your after-tax achievable return, then weigh the behavioural risk of holding a large sum.

Last reviewed September 1, 2026. We review this page whenever the underlying formula, tax year, published rate or standard changes.

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