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This is a simplified time-value-of-money calculation. It assumes a constant annual discount rate and does not include tax, fees or irregular cash flows.
What is present value?
Present value is the value today of money expected to be received in the future. It reflects the idea that money available now can potentially earn a return, so the same nominal amount received later may be worth less today.
Present Value = Future Value ÷ (1 + r)n
How the discount rate affects present value
A higher discount rate reduces present value because the future cash flow is discounted more heavily. A longer time period also reduces present value when the rate is positive.
Worked example
If £10,000 will be received in 5 years and the annual discount rate is 5%, the present value is approximately £7,835. This means that, under that 5% assumption, £7,835 today is financially equivalent to £10,000 received in five years.
How to interpret the result
Present value is useful for comparing future cash flows on a common today-value basis. The result depends entirely on the discount rate selected, so it is often useful to test several rates rather than relying on one assumption.
When this calculator is useful
Present value is useful when comparing money received at different points in time. It can help illustrate the value today of a future payment, investment proceeds, a lump-sum receipt or another expected cash flow.
Worked examples
Example 1: Five-year payment
A future amount of £10,000 discounted at 5% for five years has a present value of about £7,835.
Example 2: Higher discount rate
The same £10,000 discounted at 8% for five years has a lower present value, illustrating how a higher required return reduces today's equivalent value.
Common mistakes to avoid
- Using a percentage as 5 instead of 0.05 inside a manual formula.
- Mixing annual rates with monthly or quarterly time periods.
- Assuming the chosen discount rate is objectively correct rather than an assumption.
- Confusing present value with net present value.
Assumptions and limitations
This calculator assumes one future lump sum, a constant annual discount rate and annual compounding. It does not model multiple cash flows, changing rates, inflation separately, tax or transaction costs.
Related calculators
Compound Interest Calculator · Investment Return Calculator · CAGR Calculator
Frequently asked questions
What discount rate should I use?
The appropriate rate depends on the context. It may reflect an expected return, borrowing cost, hurdle rate or other opportunity-cost assumption. This calculator does not recommend a rate.
Can present value be higher than future value?
With a positive discount rate, present value will normally be lower than the future value. A zero rate makes the two amounts equal.
Is present value the same as net present value?
No. Present value discounts one or more future amounts. Net present value usually combines discounted future cash flows with an initial investment or cost.