Exponential Decay Calculation

This function calculates the time or periods required to reduce its initial value by a specified factor given in % per period.

Alternatively, the decrease in % per period that is required to reduce the value by the specified factor in the specified time can be calculated.

Unlike the half-life calculator, you can determine here by which factor the initial value should be reduced. For example, enter 0.5 to halve or 0.25 to quarter. The decrease per period is given in %.

Exponential Decay Calculator  What should be calculated? Decay time (periods) Decay in % per period  Input Delete Entries Decay Faktor Decay in % per period Number of periods Decimal places 0 1 2 3 4 6 Result Decay time (periods) Decay in % per period

Formulas for exponential decay

\(f\) = Factor
\(t\) = Decay time (periods)
\(d\) = Decay in % per period

\(\displaystyle t = \frac{log(f)}{log(1-\frac{d}{100})}\)

\(\displaystyle d=-(e^{\left(\frac{log(f)}{t}\right)}-1)\cdot 100\)