Exponential Decay Calculator
Use our exponential decay calculator to find reduction in value over time.
Final Value:
Joe is the creator of Inch Calculator and has over 20 years of experience in engineering and construction. He holds several degrees and certifications.
How to Calculate Exponential Decay
Exponential decay is the reduction in a value by the same percentage over a period of time, where the percentage of decay during each period includes the value of decay from the previous periods.
Exponential decay is the mechanism behind things such as half-life decay.
Exponential decay is the inverse of exponential growth, and you can calculate it using a formula.
Exponential Decay Formula
The formula to find a value after exponential decay is:
The final value xt is equal to the initial value x0 times 1 plus the decay rate r raised to the power of the number of time periods t.
For example, let’s calculate the decay in a value of 250 over 5 time periods given a decay rate of 12%.
So, a value of 250 that decays at a rate of 12% over 5 time periods will be 131.93.