Discount rate (Abzinsungssatz)
A discount rate is the rate used to translate a future euro amount into today's terms — the exchange rate between money now and money later. Abzinsungssatz (discount rate) shrinks a future sum before comparing it to a present one, because a euro received later is worth less than a euro in hand today.
Why it matters
€1,000 due in a year is not worth €1,000 today, for two separate reasons. Inflation erodes its purchasing power over that year, so it buys less by the time it arrives. And the money could have been earning a return in the meantime — sitting in an account or invested — so holding the promise of future cash means giving up what that cash could have done for a year. The discount rate bundles both effects into a single number.
The rate chosen drives the entire comparison. A pension quote, a severance buyout offered as a lump sum versus installments, or an education payoff calculated over several years all depend on the discount rate applied to the future amounts — change the rate and the present-day figure changes with it, sometimes by a wide margin. There is no single "correct" discount rate for every situation; it depends on what the money would otherwise have earned and how much risk attaches to actually receiving it.
The same lens values human capital. A person's future earnings are a stream of money arriving years from now, and their present value depends entirely on the rate used to discount them — which is why an education or language investment that lifts earnings a decade out is worth far more when the discount rate is low than when it is high. It runs in reverse for an appreciating asset: while its growth rate stays above the discount rate, waiting pays; once the discount rate rises past it, the future gain is worth less than money in hand today. One practical caution — match the rate to the units. Discount nominal (inflation-included) amounts with a nominal rate and real (inflation-adjusted) amounts with a real rate; mixing them silently double-counts or ignores inflation and throws the comparison off.
Worked examples
1. A single future payment. €1,000 is due in one year. At an illustrative discount rate of 4%, its value today is €1,000 / 1.04 = €961.54. The gap between €1,000 and €961.54 — about €38.46 — is the combined effect of a year's inflation and a year's forgone earning power, expressed through the chosen rate.
2. How the rate changes the answer. The same €1,000 due in one year, discounted at an illustrative 8% instead of 4%, is worth €1,000 / 1.08 = €925.93 today — roughly €35.61 less than at 4%. A higher discount rate always shrinks a future sum more, because it assumes the money could have grown faster elsewhere, so waiting for it costs more. This is why a buyout offered "now" competes more easily against a "later" payment when the discount rate is high, and less easily when the rate is low: the higher the rate, the more a euro today outweighs a euro promised down the road.
3. Two years out. A €1,000 payment due in two years, at an illustrative 4% rate, is worth €1,000 / (1.04 x 1.04) = €924.56 today — less than the one-year case, because the discounting compounds for each additional year of waiting. The farther out a payment sits, the more its present value shrinks for the same rate.
Check yourself
A payment of €1,000 is due in one year. Using an illustrative discount rate of 4%, what is its present value today (in euros, to the nearest cent)?
Two lump-sum offers pay €1,000 in one year each, but they're discounted at different rates: Offer A uses 4%, Offer B uses 8%. Which has the lower present value, and why?
Which factors does a discount rate reflect when converting a future amount into today's value? (Select all that apply.)
A payment of €1,000 is due in two years. Using an illustrative discount rate of 4% per year (compounded), what is its present value today (in euros, to the nearest cent)?