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What a future amount or payment stream is worth today.
If the present value above exceeds this, the future money is worth more than the cash offer.
How sensitive is this to the rate?
The discount rate is the judgment call, and small differences move long-dated values a lot.
| Discount rate | Present value | Discount factor |
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Present value
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The Present Value Calculator discounts a future sum, a stream of payments, or both, back to what they are worth today. It is the tool behind every lump-sum-versus-instalments decision, from pension offers to legal settlements.
Enter a future amount, a discount rate and the number of periods to get the present value: what that money is worth today. The calculator handles a single future sum, a stream of equal payments, or both together.
Present value is the tool for any decision involving money at different times. Comparing a lump sum offer against instalments, valuing a pension against its cash alternative, judging whether a settlement is fair, deciding if a lease is better than a purchase: all of them reduce to discounting future amounts back to today at an appropriate rate. That rate is the judgment call, since it represents what you could otherwise earn, and small differences in it change long-dated values considerably.
A future amount, a recurring payment, or an arrangement containing both.
Compare a cash offer against the present value of the payments it replaces, which is the only fair test.
Small changes in the discount rate move long-dated values a lot, and the calculator makes that visible.
Payments at the start or end of each period, which changes the value by one period of interest.
Annual through daily, matched to how the arrangement actually pays.
A single sum, a recurring payment, or both if the arrangement includes each.
The return you could earn elsewhere on money of comparable risk.
How far in the future the money arrives, and how often periods occur.
What the arrangement is worth today, which is the figure to compare against a cash offer.
What a future amount of money is worth today, given that money available now could be invested and grow. It is the reverse of compounding: instead of growing a sum forward, you discount it back.
The return you could realistically earn on money of similar risk. For safe cash flows, a government bond yield; for risky ones, something higher. The choice matters greatly for amounts far in the future.
Compare the lump sum against the present value of the payment stream at a rate you could actually achieve. If the present value exceeds the lump sum, the payments are worth more, subject to the risk that they may not all arrive.
For a single sum, the future value divided by one plus the rate raised to the number of periods. For a series of equal payments, the payment multiplied by one minus that discount factor, divided by the rate.
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