Present Value Calculator
Calculate the present value of a future sum or a series of cash flows (NPV) with compounding options.
A future value of $100,000.00 in 10 years at a 8% discount rate is worth $46,319.35 today.
Formula: PV = FV / (1 + r/m)^(t×m)
100,000.00 / (1 + 0.08/1)^(10 × 1) = 100,000.00 / 1.080000^10 = $46,319.35
Understanding Present Value & Discounting
Present Value (PV) is how much a future amount of money is worth today, after accounting for the time value of money. A dollar today is worth more than a dollar in the future because it can be invested and earn interest.
When discounting a series of cash flows (such as in business investments or real estate projects), theNet Present Value (NPV) is calculated by subtracting the initial investment cost from the sum of the discounted future cash flows. If the NPV is positive, the investment is expected to generate a return exceeding the discount rate.
Built and maintained by Meet Shah · Last updated
What this tool is used for
- Discounting a future amount to what it is worth today.
- Comparing a lump sum now against a larger amount later.
- Valuing a single future payment where no series of cash flows is involved.
- Valuing a future payment in a contract negotiation.
- Producing a figure for an investment appraisal.
Frequently Asked Questions
- What is present value?
- What a future sum is worth today, given that money available now could be earning a return. PV = FV ÷ (1 + r)ⁿ. £1,000 in five years at 5% is worth £783.53 now — which is the amount you would need to invest today to end up with it.
- Why does a future amount get discounted at all?
- Because of opportunity cost, not inflation — though inflation is a reason the rate might be higher. Money now can be deployed; money later cannot. That is the time value of money, and it holds even in a zero-inflation world with any positive available return.
- What discount rate should I use?
- The return available on the next-best alternative at comparable risk. A risk-free comparison uses a government bond yield; a business investment uses the weighted cost of capital. Higher risk means a higher rate, which is what makes distant risky cash flows worth so little today.
- How does compounding frequency change the answer?
- More frequent compounding discounts more. Annual at 5% over one year divides by 1.05; monthly divides by (1 + 0.05/12)¹² ≈ 1.0512. The difference is small over one year and compounds meaningfully over twenty, which is why the frequency has to match the cash flow's actual timing.
- What is an annuity's present value?
- The sum of each payment discounted individually, which the closed form PV = PMT × (1 − (1+r)⁻ⁿ) ÷ r computes in one step. It is the calculation behind pension valuations and lottery lump-sum offers — and it is why the lump sum is always far below the advertised total.
Common errors and gotchas
- Choosing a discount rate arbitrarily, which is the assumption the whole answer rests on.
- Mixing a nominal rate with real cash flows, or the reverse, which double-counts inflation.
- Getting the number of periods wrong by one, which compounds into a material difference.
- Using an annual rate with monthly periods without converting it.
- Treating the present value as a market price rather than a valuation under your own assumptions.