Exponential Decrease Calculator

Calculate the Exponential Decrease given Decrease per Period


Online calculator to calculate the exponential decrease for a given decrease per period This means this function calculates the time or periods required to reduce their initial value by a certain factor, expressed in % per period.

Alternatively, the decrease can be calculated in % per period, which is needed to get the value in the specified time to reduce the specified factor.

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


Exponential decrease calculation

 What should be calculated?
Input
Decrease factor
% decrease per period
Number of periods
Decimal places
Result
Periods
% decrease per period

Exponential Decrease Formulas


\(f\) = Factor
\(t\) = Period of decrease (periods)
\(d\) = Decrease in % per period

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

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

More Percent Functions

Percentage ChangeDecimal to PercentPercentage DecreaseDoubling TimeExponential DecayExponential GrowthFraction to PercentHalf LifePercentage IncreasePercentagePercentage DifferencePercentage of PercentagePercent to DecimalPercent to FractionPercent to RatioPercent to TotalRatio to PercentPercent Value

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