# Exponential Decay Calculation

Calculator for the exponential decay given the rate of decay per period

## Exponential Decay Calculator

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 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

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

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