Present value: comparing money across time — Economics, 14–17
Money received later is not directly comparable with money received today. Present value translates future amounts into today’s terms by asking what return you could earn while waiting.
Idea
€100 today can be saved, invested or used immediately, so it has a different value from €100 next year. Present value asks how much a future payment is worth now, given an interest or discount rate. The farther away the payment is, or the higher the rate, the smaller its present value.
Why it was needed
People and organisations constantly choose between costs and benefits at different dates: a course now, wages later; a machine today, profits over years. Adding all euros as if they arrived together can make a distant benefit look too large. Discounting puts the flows on one comparable timeline before a decision is made.
Worked example
You can receive €100 today or €105 in one year. At a 5% discount rate, the future option has present value €105 ÷ 1.05 = €100. So the two offers are equal under this assumption. At 8%, its value is €105 ÷ 1.08 ≈ €97.22, making €100 today the better financial choice.
The trap
A common mistake is to say that the larger future number must be the better deal. That feels natural because €105 is visibly more than €100. But waiting has a cost: while you wait, today’s money could earn a return, and the future payment may also be uncertain. Present value makes that hidden comparison visible.
Where it appears
Present value is used when comparing mortgages, pensions, investment projects and long contracts. A company can compare the cost of a solar installation today with years of lower energy bills. The calculation supports a decision, but the chosen rate and estimates still depend on assumptions about risk, inflation and future events.
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